From 9bc4f2758a3325962148d8fbf36719ba3a693fc1 Mon Sep 17 00:00:00 2001 From: Emily Boudreaux Date: Wed, 15 Jul 2026 09:44:43 -0400 Subject: [PATCH] feat(mean_field): added initial implementation note this implementation lacks many tests --- .gitignore | 7 + CMakeLists.txt | 125 + LICENSE.txt | 674 + generate_mesh.py | 13 + libmeanfield/impl/analysis/integral.cpp | 182 + libmeanfield/impl/fem.cpp | 190 + libmeanfield/impl/integrators/advection.cpp | 206 + libmeanfield/impl/integrators/centrifugal.cpp | 146 + libmeanfield/impl/integrators/coriolis.cpp | 152 + libmeanfield/impl/integrators/gravity.cpp | 124 + .../impl/integrators/mass_continuity.cpp | 417 + libmeanfield/impl/integrators/viscosity.cpp | 156 + libmeanfield/impl/mapping/coefficients.cpp | 152 + libmeanfield/impl/mapping/domain_mapper.cpp | 294 + libmeanfield/impl/physics/gravity.cpp | 297 + libmeanfield/impl/physics/solid.cpp | 38 + libmeanfield/impl/utils/domain.cpp | 188 + libmeanfield/impl/utils/misc.cpp | 124 + libmeanfield/include/mean_field.h | 4 + libmeanfield/include/xad_promote_polyfill.h | 11 + libmeanfield/interface/analysis/integral.cppm | 41 + libmeanfield/interface/boundary/context.cppm | 34 + libmeanfield/interface/fem.cppm | 95 + .../interface/integrators/advection.cppm | 28 + .../interface/integrators/centrifugal.cppm | 32 + .../interface/integrators/coriolis.cppm | 28 + .../interface/integrators/gravity.cppm | 32 + .../integrators/mass_continuity.cppm | 62 + .../integrators/pressure_gradient.cppm | 168 + .../interface/integrators/viscosity.cppm | 32 + .../interface/mapping/coefficients.cppm | 95 + .../interface/mapping/domain_mapper.cppm | 103 + libmeanfield/interface/mapping/types.cppm | 10 + libmeanfield/interface/mean_field.cppm | 21 + libmeanfield/interface/physics/context.cppm | 28 + libmeanfield/interface/physics/gravity.cppm | 45 + libmeanfield/interface/physics/solid.cppm | 9 + libmeanfield/interface/quadrature/mfem.cppm | 198 + libmeanfield/interface/quadrature/policy.cppm | 256 + libmeanfield/interface/utils/domain.cppm | 24 + libmeanfield/interface/utils/misc.cppm | 101 + libmeanfield/interface/utils/user.cppm | 36 + readme.md | 50 + sandbox.smesh | 165507 +++++++++++++++ tests/geometry/volume.cpp | 25 + tests/physics/gravity.cpp | 600 + tests/quadrature/policy.cpp | 331 + tests/test_helpers.cppm | 97 + tests/test_main.cpp | 223 + 49 files changed, 171811 insertions(+) create mode 100644 .gitignore create mode 100644 CMakeLists.txt create mode 100644 LICENSE.txt create mode 100644 generate_mesh.py create mode 100644 libmeanfield/impl/analysis/integral.cpp create mode 100644 libmeanfield/impl/fem.cpp create mode 100644 libmeanfield/impl/integrators/advection.cpp create mode 100644 libmeanfield/impl/integrators/centrifugal.cpp create mode 100644 libmeanfield/impl/integrators/coriolis.cpp create mode 100644 libmeanfield/impl/integrators/gravity.cpp create mode 100644 libmeanfield/impl/integrators/mass_continuity.cpp create mode 100644 libmeanfield/impl/integrators/viscosity.cpp create mode 100644 libmeanfield/impl/mapping/coefficients.cpp create mode 100644 libmeanfield/impl/mapping/domain_mapper.cpp create mode 100644 libmeanfield/impl/physics/gravity.cpp create mode 100644 libmeanfield/impl/physics/solid.cpp create mode 100644 libmeanfield/impl/utils/domain.cpp create mode 100644 libmeanfield/impl/utils/misc.cpp create mode 100644 libmeanfield/include/mean_field.h create mode 100644 libmeanfield/include/xad_promote_polyfill.h create mode 100644 libmeanfield/interface/analysis/integral.cppm create mode 100644 libmeanfield/interface/boundary/context.cppm create mode 100644 libmeanfield/interface/fem.cppm create mode 100644 libmeanfield/interface/integrators/advection.cppm create mode 100644 libmeanfield/interface/integrators/centrifugal.cppm create mode 100644 libmeanfield/interface/integrators/coriolis.cppm create mode 100644 libmeanfield/interface/integrators/gravity.cppm create mode 100644 libmeanfield/interface/integrators/mass_continuity.cppm create mode 100644 libmeanfield/interface/integrators/pressure_gradient.cppm create mode 100644 libmeanfield/interface/integrators/viscosity.cppm create mode 100644 libmeanfield/interface/mapping/coefficients.cppm create mode 100644 libmeanfield/interface/mapping/domain_mapper.cppm create mode 100644 libmeanfield/interface/mapping/types.cppm create mode 100644 libmeanfield/interface/mean_field.cppm create mode 100644 libmeanfield/interface/physics/context.cppm create mode 100644 libmeanfield/interface/physics/gravity.cppm create mode 100644 libmeanfield/interface/physics/solid.cppm create mode 100644 libmeanfield/interface/quadrature/mfem.cppm create mode 100644 libmeanfield/interface/quadrature/policy.cppm create mode 100644 libmeanfield/interface/utils/domain.cppm create mode 100644 libmeanfield/interface/utils/misc.cppm create mode 100644 libmeanfield/interface/utils/user.cppm create mode 100644 readme.md create mode 100644 sandbox.smesh create mode 100644 tests/geometry/volume.cpp create mode 100644 tests/physics/gravity.cpp create mode 100644 tests/quadrature/policy.cpp create mode 100644 tests/test_helpers.cppm create mode 100644 tests/test_main.cpp diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..c94b5e0 --- /dev/null +++ b/.gitignore @@ -0,0 +1,7 @@ +.idea/ +cmake-build/ +build/ +._DS_store +._DS_Store +.DSStore +.DS_Store diff --git a/CMakeLists.txt b/CMakeLists.txt new file mode 100644 index 0000000..2cf77b0 --- /dev/null +++ b/CMakeLists.txt @@ -0,0 +1,125 @@ +cmake_minimum_required(VERSION 3.28) +project(MeanField CXX) + +set(CMAKE_CXX_STANDARD 23) +set(CMAKE_CXX_STANDARD_REQUIRED ON) +set(CMAKE_CXX_EXTENSIONS OFF) + +add_compile_options( + -gdwarf-4 + -Wno-unused-parameter + -Wno-unused-function + -Wno-unused-variable + -Wno-unused-const-variable + -Wno-unused-private-field + -Wno-unused-but-set-variable + -Wno-unused-local-typedefs + -Wno-unused-value + -Wno-unused-label + -Wno-unused-lambda-capture +) + +find_package(MPI REQUIRED COMPONENTS CXX) + +find_package(XAD REQUIRED) + +find_package(mfem REQUIRED) +find_package(UMFPACK REQUIRED) +find_package(hypre REQUIRED) + +find_package(PkgConfig REQUIRED) + + +pkg_check_modules(stroid REQUIRED IMPORTED_TARGET stroid) + +add_library(mean_field) + +target_include_directories(mean_field + PUBLIC + $ +) + +target_sources(mean_field + PRIVATE + libmeanfield/impl/analysis/integral.cpp + libmeanfield/impl/fem.cpp + libmeanfield/impl/mapping/coefficients.cpp + libmeanfield/impl/mapping/domain_mapper.cpp + libmeanfield/impl/physics/gravity.cpp + libmeanfield/impl/physics/solid.cpp + libmeanfield/impl/utils/domain.cpp + libmeanfield/impl/utils/misc.cpp + libmeanfield/impl/integrators/advection.cpp + libmeanfield/impl/integrators/centrifugal.cpp + libmeanfield/impl/integrators/coriolis.cpp + libmeanfield/impl/integrators/gravity.cpp + libmeanfield/impl/integrators/mass_continuity.cpp + libmeanfield/impl/integrators/viscosity.cpp +) + +target_sources(mean_field + PUBLIC + FILE_SET CXX_MODULES FILES + libmeanfield/interface/mean_field.cppm + libmeanfield/interface/fem.cppm + libmeanfield/interface/analysis/integral.cppm + libmeanfield/interface/boundary/context.cppm + libmeanfield/interface/mapping/coefficients.cppm + libmeanfield/interface/mapping/domain_mapper.cppm + libmeanfield/interface/mapping/types.cppm + libmeanfield/interface/physics/context.cppm + libmeanfield/interface/physics/gravity.cppm + libmeanfield/interface/physics/solid.cppm + libmeanfield/interface/utils/domain.cppm + libmeanfield/interface/utils/misc.cppm + libmeanfield/interface/utils/user.cppm + libmeanfield/interface/integrators/advection.cppm + libmeanfield/interface/integrators/centrifugal.cppm + libmeanfield/interface/integrators/coriolis.cppm + libmeanfield/interface/integrators/gravity.cppm + libmeanfield/interface/integrators/mass_continuity.cppm + libmeanfield/interface/integrators/pressure_gradient.cppm + libmeanfield/interface/integrators/viscosity.cppm + libmeanfield/interface/quadrature/policy.cppm + libmeanfield/interface/quadrature/mfem.cppm +) + + +target_link_libraries(mean_field + PUBLIC + MPI::MPI_CXX + XAD::xad + mfem + PkgConfig::stroid +) + +add_library(test_mod) +target_sources(test_mod + PUBLIC + FILE_SET CXX_MODULES FILES + tests/test_helpers.cppm +) +target_link_libraries(test_mod + PUBLIC + mean_field +) + +find_package(Catch2 3 REQUIRED) + +cmake_policy(SET CMP0167 NEW) +find_package(Boost REQUIRED) + +pkg_check_modules(fourdst_config REQUIRED IMPORTED_TARGET fourdst_config) + +add_executable(tests + tests/test_main.cpp + tests/physics/gravity.cpp + tests/geometry/volume.cpp + tests/quadrature/policy.cpp +) + +target_link_libraries(tests PRIVATE mean_field test_mod Catch2::Catch2 Boost::boost) + +include (CTest) +include (Catch) 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If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +. \ No newline at end of file diff --git a/generate_mesh.py b/generate_mesh.py new file mode 100644 index 0000000..6378302 --- /dev/null +++ b/generate_mesh.py @@ -0,0 +1,13 @@ +from stroid.config import MeshConfig +from stroid.IO import SaveStroidMesh +from stroid import GenerateMesh + +cfg = MeshConfig() +cfg.order = 4 +cfg.refinement_levels = 2 +print(cfg) + +mesh = GenerateMesh(cfg) +SaveStroidMesh(mesh, "sandbox.smesh") +print(mesh) + diff --git a/libmeanfield/impl/analysis/integral.cpp b/libmeanfield/impl/analysis/integral.cpp new file mode 100644 index 0000000..dd86852 --- /dev/null +++ b/libmeanfield/impl/analysis/integral.cpp @@ -0,0 +1,182 @@ +module; +#include + +module mean_field; +import :mapping.coefficients; + +namespace mean_field::analysis { + double domain_integrate_grid_function(const fem::FEM &fem, const mfem::GridFunction &gf, utils::DOMAINS domain, mapping::COORDINATE_SPACE coord_space) { + mfem::LinearForm lf(fem.H1_fes.get()); + mfem::GridFunctionCoefficient gf_c(&gf); + double local_integral; + mfem::Array elem_markers; + populate_element_mask(fem.mesh.get(), domain, elem_markers); + + if (fem.has_mapping() && coord_space == mapping::COORDINATE_SPACE::PHYSICAL) { + mapping::MappedScalarCoefficient mapped_gf_c(*fem.mapping, gf_c); + + // ReSharper disable once CppDFAMemoryLeak // Disabled because MFEM takes ownership so memory is not leaked + auto *lf_integrator = new mfem::DomainLFIntegrator(mapped_gf_c); + lf_integrator->SetIntRule(fem.int_rule.get()); + lf.AddDomainIntegrator(lf_integrator, elem_markers); + lf.Assemble(); + + + local_integral = lf.Sum(); + } else { + if (coord_space == mapping::COORDINATE_SPACE::PHYSICAL) { + MFEM_ABORT( + "Physical evaluation mode requested but no mapping provided. Check domain bounds and mapping setup."); + } + lf.AddDomainIntegrator(new mfem::DomainLFIntegrator(gf_c), elem_markers); + lf.Assemble(); + local_integral = lf.Sum(); + } + + double global_integral = 0.0; + MPI_Allreduce(&local_integral, &global_integral, 1, MPI_DOUBLE, MPI_SUM, fem.H1_fes->GetComm()); + return global_integral; + } + + mfem::Vector get_com(const fem::FEM &fem, const mfem::GridFunction &rho) { + const int dim = fem.mesh->Dimension(); + mfem::Vector local_com(dim); + local_com = 0.0; + double local_mass = 0.0; + + for (int i = 0; i < fem.H1_fes->GetNE(); ++i) { + if (fem.mesh->GetAttribute(i) == 3) continue; + mfem::ElementTransformation *trans = fem.H1_fes->GetElementTransformation(i); + const mfem::IntegrationRule &ir = *fem.int_rule; + + for (int j = 0; j < ir.GetNPoints(); ++j) { + const mfem::IntegrationPoint &ip = ir.IntPoint(j); + trans->SetIntPoint(&ip); + + double weight = trans->Weight() * ip.weight; + if (fem.has_mapping()) { + weight *= fem.mapping->ComputeDetJ(*trans, ip); + } + double rho_val = rho.GetValue(i, ip); + + mfem::Vector phys_point(dim); + if (fem.has_mapping()) { + fem.mapping->GetPhysicalPoint(*trans, ip, phys_point); + } else { + trans->Transform(ip, phys_point); + } + + const double mass_term = rho_val * weight; + local_mass += mass_term; + + for (int d = 0; d < dim; ++d) { + local_com(d) += phys_point(d) * mass_term; + } + } + } + + double global_mass = 0.0; + mfem::Vector global_com(dim); + MPI_Comm comm = fem.H1_fes->GetComm(); + + MPI_Allreduce(&local_mass, &global_mass, 1, MPI_DOUBLE, MPI_SUM, comm); + + MPI_Allreduce(local_com.GetData(), global_com.GetData(), dim, MPI_DOUBLE, MPI_SUM, comm); + + if (global_mass > 1e-18) { + global_com /= global_mass; + } else { + global_com = 0.0; + } + + return global_com; + } + + void conserve_mass(const fem::FEM &fem, mfem::GridFunction &rho, const double target_mass) { + if (const double current_mass = domain_integrate_grid_function(fem, rho, utils::DOMAINS::STELLAR); current_mass > 1e-15) + rho *= (target_mass / current_mass); + } + + double get_moment_of_inertia(const fem::FEM &fem, const mfem::GridFunction &rho) { + auto s2_func = [](const mfem::Vector &x) { + return std::pow(x(0), 2) + std::pow(x(1), 2); + }; + + std::unique_ptr s2_coeff; + if (fem.has_mapping()) { + s2_coeff = std::make_unique(*fem.mapping, s2_func); + } else { + s2_coeff = std::make_unique(s2_func); + } + + mfem::GridFunctionCoefficient rho_coeff(&rho); + mfem::ProductCoefficient I_integrand(rho_coeff, *s2_coeff); + + mfem::LinearForm I_lf(fem.H1_fes.get()); + + double I = 0.0; + // TODO: Need to filter here to just the stellar domain and also update the IntRule + if (fem.has_mapping()) { + mapping::MappedScalarCoefficient mapped_integrand(*fem.mapping, I_integrand); + I_lf.AddDomainIntegrator(new mfem::DomainLFIntegrator(mapped_integrand)); + I_lf.Assemble(); + I = I_lf.Sum(); + } else { + I_lf.AddDomainIntegrator(new mfem::DomainLFIntegrator(I_integrand)); + I_lf.Assemble(); + I = I_lf.Sum(); + } + + return I; + } + + double get_mesh_volume( + const fem::FEM& fem, + const mapping::COORDINATE_SPACE coordinate_space, + const utils::DOMAINS domain + ) { + mfem::ParMesh &mesh = *fem.mesh; + const mapping::DomainMapper &map = *fem.mapping; + const mfem::IntegrationRule &ir = *fem.int_rule; + + const bool physical = + (coordinate_space == mapping::COORDINATE_SPACE::PHYSICAL); + + double local_volume = 0.0; + + for (int e = 0; e < mesh.GetNE(); ++e) { + const int attr = mesh.GetAttribute(e); + switch (domain) { + case utils::DOMAINS::ALL: + break; + case utils::DOMAINS::STELLAR: + if (attr == 3) continue; + break; + case utils::DOMAINS::VACUUM: + if (attr != 3) continue; + break; + default: + MFEM_ABORT("Unsupported domain type for volume computation."); + } + mfem::ElementTransformation *T = mesh.GetElementTransformation(e); + + for (int q = 0; q < ir.GetNPoints(); ++q) { + const mfem::IntegrationPoint &ip = ir.IntPoint(q); + T->SetIntPoint(&ip); + + double dV = ip.weight * T->Weight(); + + if (physical) { + dV *= std::fabs(map.ComputeDetJ(*T, ip)); + } + + local_volume += dV; + } + } + + double global_volume = 0.0; + MPI_Allreduce(&local_volume, &global_volume, 1, MPI_DOUBLE, MPI_SUM, + mesh.GetComm()); + return global_volume; + } +} \ No newline at end of file diff --git a/libmeanfield/impl/fem.cpp b/libmeanfield/impl/fem.cpp new file mode 100644 index 0000000..a02bffd --- /dev/null +++ b/libmeanfield/impl/fem.cpp @@ -0,0 +1,190 @@ +module; +#include +#include + +#include +#include + +module mean_field; +import :boundary.contexts; +import :mapping.coefficients; +import :utils.misc; +import :utils.user; + + +namespace mean_field::fem { + FEM setup_fem(const std::string &filename, const utils::Args &args, const int extra_refine) { + FEM fem; + + //================================================================== + // Section 1: Mesh and FE Space Setup + //================================================================== + fem.smesh = stroid::IO::LoadStroidMesh(filename).value(); + if (extra_refine > 0) { + stroid::refinement::UniformRefinement(fem.smesh, extra_refine); + } + + fem.mesh = std::make_unique(MPI_COMM_WORLD, *fem.smesh.mesh); + fem.mesh->EnsureNodes(); + + const int geom_order = utils::get_mesh_order(*fem.mesh); + const int dim = fem.mesh->Dimension(); + + const int v_order = 2; + const int rho_order = 2; + const int p = rho_order ; + + const int cb_type = mfem::BasisType::GaussLobatto; + const int ob_type = mfem::BasisType::IntegratedGLL; + + fem.RT_fec = std::make_unique(p, dim, cb_type, ob_type); + fem.RT_fes = std::make_unique(fem.mesh.get(), fem.RT_fec.get()); + + fem.H1_fec = std::make_unique(v_order, dim); + fem.L2_fec = std::make_unique(rho_order, dim); + + // Gravity (Scalar H1) and Velocity (Vector H1) + fem.H1_fes = std::make_unique(fem.mesh.get(), fem.H1_fec.get()); + fem.Vec_H1_fes = std::make_unique(fem.mesh.get(), fem.H1_fec.get(), dim, + mfem::Ordering::byNODES); + + // Density & Pressure (Scalar Discontinuous L2) + fem.L2_fes = std::make_unique(fem.mesh.get(), fem.L2_fec.get()); + + //================================================================== + // Section 2: Domain Mapping + //================================================================== + auto [r_star_ref, r_inf_ref] = utils::discover_bounds(fem.mesh.get(), 3) + .or_else([](const boundary::BoundsError &err)-> std::expected { + throw std::runtime_error("Unable to determine vacuum domain reference boundary..."); + }).value(); + + fem.mapping = std::make_unique(r_star_ref, r_inf_ref); + + //================================================================== + // Section 3: Multi-physics Block-offsets + //================================================================== + fem.block_true_offsets.SetSize(3); + fem.block_true_offsets[0] = 0; + fem.block_true_offsets[1] = fem.Vec_H1_fes->GetTrueVSize(); + fem.block_true_offsets[2] = fem.block_true_offsets[1] + fem.L2_fes->GetTrueVSize(); + + fem.gravity_block_true_offsets.SetSize(3); + fem.gravity_block_true_offsets[0] = 0; + fem.gravity_block_true_offsets[1] = fem.RT_fes->GetTrueVSize(); + fem.gravity_block_true_offsets[2] = fem.gravity_block_true_offsets[1] + fem.L2_fes->GetTrueVSize(); + + //================================================================== + // Section 4: Multipole BC setup. + //================================================================== + fem.com.SetSize(dim); + fem.com = 0.0; + fem.Q.SetSize(dim, dim); + fem.Q = 0.0; + + //================================================================== + // Section 5: Integration Rules + //================================================================== + MFEM_ASSERT(fem.mesh->GetElementGeometry(0) == mfem::Geometry::CUBE, + "Currently only hexahedral meshes are supported"); + const int element_order = fem.H1_fes->GetMaxElementOrder(); + fem.int_order = 2 * element_order + geom_order - 2 + args.quad_boost; + + fem.int_rule = std::make_unique(mfem::IntRules.Get(mfem::Geometry::CUBE, fem.int_order)); + + //================================================================== + // Section 6: Essential Boundaries & Domain Masks + //================================================================== + fem.ess_v_tdofs.SetSize(0); + + populate_element_mask(fem.mesh.get(), utils::DOMAINS::STELLAR, fem.gravity_context.stellar_mask); + + const int n_bdr_attrs = fem.mesh->bdr_attributes.Max(); + fem.boundary_context.inf_bounds.SetSize(n_bdr_attrs); + fem.boundary_context.stellar_bounds.SetSize(n_bdr_attrs); + + fem.boundary_context.inf_bounds = 0; + fem.boundary_context.stellar_bounds = 0; + + fem.boundary_context.inf_bounds[static_cast(boundary::Boundaries::INF_SURFACE) - 1] = 1; + fem.boundary_context.stellar_bounds[static_cast(boundary::Boundaries::STELLAR_SURFACE) - 1] = 1; + + //================================================================== + // Section 7: Gravity Context Setup + //================================================================== + fem.gravity_context.minres = std::make_unique(fem.mesh->GetComm()); + fem.gravity_context.minres->SetRelTol(1e-12); + fem.gravity_context.minres->SetAbsTol(1e-12); + fem.gravity_context.minres->SetMaxIter(1000); + fem.gravity_context.minres->SetPrintLevel(0); + + fem.gravity_context.prec_Phi = std::make_unique(); + fem.gravity_context.prec_Phi->SetPrintLevel(0); + + fem.gravity_context.block_prec = std::make_unique(fem.gravity_block_true_offsets); + + fem.gravity_context.minres->SetPreconditioner(*fem.gravity_context.block_prec); + //========================================================= + // Section 10: Set All vacuum elements true degrees of freedom + //========================================================= + { + mfem::Array vacuum_mask; + utils::populate_element_mask(fem.mesh.get(), utils::DOMAINS::VACUUM, vacuum_mask); + + utils::populate_domain_tdofs(fem.Vec_H1_fes.get(), vacuum_mask, fem.vacuum_tdof_v); + utils::populate_domain_tdofs(fem.L2_fes.get(), vacuum_mask, fem.vacuum_tdof_rho); + } + + const quadrature::QuadratureOptions& quadrature_options = args.quadrature; + + if (quadrature_options.validation.reject_negative_boosts && quadrature_options.global_boost < 0) { + throw std::invalid_argument("Global quadrature boost cannot be negative."); + } + + quadrature::RuleSet quadrature_rule_set = quadrature::make_rule_set(quadrature_options.mode, quadrature_options.global_boost); + + if (quadrature_options.fallback_fixed_order.has_value()) { + if (*quadrature_options.fallback_fixed_order < 0) { + throw std::invalid_argument("Fallback quadrature order cannot be negative."); + } + quadrature_rule_set.fallback.fixed_order = quadrature_options.fallback_fixed_order; + } + + auto apply_quadrature_options = [&quadrature_options](quadrature::RuleControl& rule_control, const quadrature::QuadratureTermOptions& term_options) { + if (term_options.fixed_order.has_value() && *term_options.fixed_order < 0) { + throw std::invalid_argument("Fixed quadrature order cannot be negative."); + } + + if (quadrature_options.validation.reject_negative_boosts && term_options.additional_boost < 0) { + throw std::invalid_argument("Term quadrature boost cannot be negative."); + } + + rule_control.boost += term_options.additional_boost; + + if (term_options.fixed_order.has_value()) { + rule_control.fixed_order = term_options.fixed_order; + } + }; + + apply_quadrature_options(quadrature_rule_set.gravity_hdiv_mass, quadrature_options.gravity_hdiv_mass); + apply_quadrature_options(quadrature_rule_set.gravity_divergence, quadrature_options.gravity_divergence); + apply_quadrature_options(quadrature_rule_set.gravity_source, quadrature_options.gravity_source); + apply_quadrature_options(quadrature_rule_set.gravity_boundary, quadrature_options.gravity_boundary); + apply_quadrature_options(quadrature_rule_set.density_projection, quadrature_options.density_projection); + apply_quadrature_options(quadrature_rule_set.mass_conservation, quadrature_options.mass_conservation); + apply_quadrature_options(quadrature_rule_set.center_of_mass, quadrature_options.center_of_mass); + apply_quadrature_options(quadrature_rule_set.quadrupole, quadrature_options.quadrupole); + apply_quadrature_options(quadrature_rule_set.gravitational_energy, quadrature_options.gravitational_energy); + apply_quadrature_options(quadrature_rule_set.virial, quadrature_options.virial); + apply_quadrature_options(quadrature_rule_set.error_norm, quadrature_options.error_norm); + + apply_quadrature_options(quadrature_rule_set.roles.discretization, quadrature_options.roles.discretization); + apply_quadrature_options(quadrature_rule_set.roles.preconditioner, quadrature_options.roles.preconditioner); + apply_quadrature_options(quadrature_rule_set.roles.diagnostic, quadrature_options.roles.diagnostic); + apply_quadrature_options(quadrature_rule_set.roles.projection, quadrature_options.roles.projection); + + fem.quadrature_factory = std::make_unique(quadrature::Policy(std::move(quadrature_rule_set))); + return fem; + } +} + diff --git a/libmeanfield/impl/integrators/advection.cpp b/libmeanfield/impl/integrators/advection.cpp new file mode 100644 index 0000000..dac2bf1 --- /dev/null +++ b/libmeanfield/impl/integrators/advection.cpp @@ -0,0 +1,206 @@ +module; +#include + +module mean_field; + +namespace mean_field::integrators { + AdvectionIntegrator::AdvectionIntegrator(const mapping::DomainMapper &map) : m_map(map) {} + + void AdvectionIntegrator::AssembleElementVector( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) { + if (utils::is_vacuum(Tr, elvec)) { + return; + } + + const mfem::FiniteElement *fe_v = el[0]; + const mfem::FiniteElement *fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const mfem::Vector &v_dofs = *elfun[0]; + const mfem::Vector &rho_dofs = *elfun[1]; + + mfem::Vector &r_v = *elvec[0]; + r_v.SetSize(dof_v * dim); + r_v = 0.0; + if (elvec[1]) { + elvec[1]->SetSize(dof_rho); + *elvec[1] = 0.0; + } + + mfem::Vector shape_v(dof_v), shape_rho(dof_rho); + mfem::DenseMatrix dshape_v_ref(dof_v, dim), dshape_v_phys(dof_v, dim); + + const mfem::IntegrationRule *ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder() + 1); + + for (int q = 0; q < ir->GetNPoints(); q++) { + const mfem::IntegrationPoint &ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcShape(ip, shape_v); + fe_v->CalcDShape(ip, dshape_v_ref); + mfem::Mult(dshape_v_ref, J_inv, dshape_v_phys); + fe_rho->CalcShape(ip, shape_rho); + + double rho_val = 0.0; + for (int i = 0; i < dof_rho; ++i) { + rho_val += rho_dofs(i) * shape_rho(i); + } + + mfem::Vector v_val(dim); + v_val = 0.0; + mfem::DenseMatrix grad_v(dim, dim); + grad_v = 0.0; + + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + const double v_ic = v_dofs(i + c * dof_v); + v_val(c) += v_ic * shape_v(i); + for (int d = 0; d < dim; ++d) { + grad_v(c, d) += v_ic * dshape_v_phys(i, d); + } + } + } + + mfem::Vector adv_val(dim); + adv_val = 0.0; + for (int c = 0; c < dim; ++c) { + for (int d = 0; d < dim; ++d) { + adv_val(c) += v_val(d) * grad_v(c, d); + } + } + + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + r_v(i + c * dof_v) += shape_v(i) * rho_val * adv_val(c) * weight; + } + } + } + } + + void AdvectionIntegrator::AssembleElementGrad( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) { + const mfem::FiniteElement *fe_v = el[0]; + const mfem::FiniteElement *fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const mfem::Vector &v_dofs = *elfun[0]; + const mfem::Vector &rho_dofs = *elfun[1]; + + mfem::DenseMatrix *dv_dv = elmats(0, 0); + mfem::DenseMatrix *dv_drho = elmats(0, 1); + + if (dv_dv) *dv_dv = 0.0; + if (dv_drho) *dv_drho = 0.0; + + mfem::Vector shape_v(dof_v), shape_rho(dof_rho); + mfem::DenseMatrix dshape_v_ref(dof_v, dim), dshape_v_phys(dof_v, dim); + + const mfem::IntegrationRule *ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder() + 1); + + for (int q = 0; q < ir->GetNPoints(); q++) { + const mfem::IntegrationPoint &ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcShape(ip, shape_v); + fe_v->CalcDShape(ip, dshape_v_ref); + mfem::Mult(dshape_v_ref, J_inv, dshape_v_phys); + fe_rho->CalcShape(ip, shape_rho); + + double rho_val = 0.0; + for (int i = 0; i < dof_rho; ++i) { + rho_val += rho_dofs(i) * shape_rho(i); + } + + mfem::Vector v_val(dim); + v_val = 0.0; + mfem::DenseMatrix grad_v(dim, dim); + grad_v = 0.0; + + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + double v_ic = v_dofs(i + c * dof_v); + v_val(c) += v_ic * shape_v(i); + for (int d = 0; d < dim; ++d) { + grad_v(c, d) += v_ic * dshape_v_phys(i, d); + } + } + } + + mfem::Vector adv_val(dim); + adv_val = 0.0; + for (int c = 0; c < dim; ++c) { + for (int d = 0; d < dim; ++d) { + adv_val(c) += v_val(d) * grad_v(c, d); + } + } + + // Jacobian wrt. Velocity: dR_v/dv + if (dv_dv) { + for (int i = 0; i < dof_v; ++i) { + // Test function index + for (int c = 0; c < dim; ++c) { + // Test function component + int row = i + c * dof_v; + for (int j = 0; j < dof_v; ++j) { + // Trial function index + double v_dot_grad_phi_j = 0.0; + + for (int k = 0; k < dim; ++k) { + v_dot_grad_phi_j += v_val(k) * dshape_v_phys(j, k); + } + + for (int d = 0; d < dim; ++d) { + // Trial function component + int col = j + d * dof_v; + + // \rho (\delta \vec{v} \cdot \nabla \vec{v}) + // \delta v is along direction 'd' for the cth component of advection + double termA = shape_v(j) * grad_v(c, d); + + // \rho(\vec{v} \cdot \nabla \delta \vec{v}) + // Only non-zero when the advected component matches the test component + double termB = (c == d) ? v_dot_grad_phi_j : 0.0; + + (*dv_dv)(row, col) += shape_v(i) * rho_val * (termA + termB) * weight; + } + } + } + } + } + + // Jacobian wrt. Density: dR_v / drho + if (dv_drho) { + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + int row = i + c * dof_v; + for (int j = 0; j < dof_rho; ++j) { + int col = j; + + // \delta \rho * (\vec{v} \cdot \nabla \vec{v}) + double term = shape_rho(j) * adv_val(c); + (*dv_drho)(row, col) += shape_v(i) * term * weight; + } + } + } + } + } + } +} \ No newline at end of file diff --git a/libmeanfield/impl/integrators/centrifugal.cpp b/libmeanfield/impl/integrators/centrifugal.cpp new file mode 100644 index 0000000..9837529 --- /dev/null +++ b/libmeanfield/impl/integrators/centrifugal.cpp @@ -0,0 +1,146 @@ +module; +#include +module mean_field; + +namespace mean_field::integrators { + CentrifugalForceIntegrator::CentrifugalForceIntegrator( + const mapping::DomainMapper& map, + const mfem::Vector& omega + ) : m_map(map), m_omega(3) { + MFEM_ASSERT(omega.Size() == 3, "Omega vector must be 3D"); + m_omega = omega; + } + + void CentrifugalForceIntegrator::SetOmega(const mfem::Vector& omega) { + MFEM_ASSERT(omega.Size() == 3, "Omega vector must be 3D"); + m_omega = omega; + } + + void CentrifugalForceIntegrator::AssembleElementVector( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) { + if (utils::is_vacuum(Tr, elvec)) { + return; + } + + const mfem::FiniteElement* fe_v = el[0]; + const mfem::FiniteElement* fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const mfem::Vector& rho_dofs = *elfun[1]; + + mfem::Vector& r_v = *elvec[0]; + r_v = 0.0; + r_v.SetSize(dof_v * dim); + if (elvec[1]) { + elvec[1]->SetSize(dof_rho); + *elvec[1] = 0.0; + } + + mfem::Vector shape_v(dof_v), shape_rho(dof_rho); + mfem::Vector x_phys(dim); + mfem::Vector a(dim), b(dim); + + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder()); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcShape(ip, shape_v); + fe_rho->CalcShape(ip, shape_rho); + + m_map.GetPhysicalPoint(Tr, ip, x_phys); + + // ω x r + a(0) = m_omega(1) * x_phys(2) - m_omega(2) * x_phys(1); + a(1) = m_omega(2) * x_phys(0) - m_omega(0) * x_phys(2); + a(2) = m_omega(0) * x_phys(1) - m_omega(1) * x_phys(0); + + // ω x (ω x r) [centrifugal acceleration] + b(0) = m_omega(1) * a(2) - m_omega(2) * a(1); + b(1) = m_omega(2) * a(0) - m_omega(0) * a(2); + b(2) = m_omega(0) * a(1) - m_omega(1) * a(0); + + double rho_val = 0.0; + for (int i = 0; i < dof_rho; ++i) { + rho_val += rho_dofs(i) * shape_rho(i); + } + + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + r_v(i + c * dof_v) += shape_v(i) * rho_val * b(c) * weight; + } + } + } + } + + void CentrifugalForceIntegrator::AssembleElementGrad( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) { + const mfem::FiniteElement* fe_v = el[0]; + const mfem::FiniteElement* fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + mfem::DenseMatrix* dv_dv = elmats(0,0); + mfem::DenseMatrix* dv_drho = elmats(0,1); + + if (dv_dv) *dv_dv = 0.0; + if (elmats(1, 0)) *elmats(1, 0) = 0.0; + if (elmats(1, 1)) *elmats(1, 1) = 0.0; + if (dv_drho) *dv_drho = 0.0; + if (!dv_drho) return; + + mfem::Vector shape_v(dof_v), shape_rho(dof_rho); + mfem::Vector x_phys(dim); + mfem::Vector a(dim), b(dim); + + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder()); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcShape(ip, shape_v); + fe_rho->CalcShape(ip, shape_rho); + + m_map.GetPhysicalPoint(Tr, ip, x_phys); + + // ω x r + a(0) = m_omega(1) * x_phys(2) - m_omega(2) * x_phys(1); + a(1) = m_omega(2) * x_phys(0) - m_omega(0) * x_phys(2); + a(2) = m_omega(0) * x_phys(1) - m_omega(1) * x_phys(0); + + // ω x (ω x r) [centrifugal acceleration] + b(0) = m_omega(1) * a(2) - m_omega(2) * a(1); + b(1) = m_omega(2) * a(0) - m_omega(0) * a(2); + b(2) = m_omega(0) * a(1) - m_omega(1) * a(0); + + // dR_dv_i_c / drho_j = φ_i * φ_j * b_c + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + const int row = i + c * dof_v; + for (int j = 0; j < dof_rho; ++j) { + (*dv_drho)(row, j) += shape_v(i) * shape_rho(j) * b(c) * weight; + } + } + } + } + } +} \ No newline at end of file diff --git a/libmeanfield/impl/integrators/coriolis.cpp b/libmeanfield/impl/integrators/coriolis.cpp new file mode 100644 index 0000000..f6a9c78 --- /dev/null +++ b/libmeanfield/impl/integrators/coriolis.cpp @@ -0,0 +1,152 @@ +module; +#include + +module mean_field; + +namespace mean_field::integrators { + CoriolisIntegrator::CoriolisIntegrator(const mapping::DomainMapper& map, const mfem::Vector& omega) + : m_map(map), m_omega(omega) { + m_omega_mat.SetSize(3, 3); + m_omega_mat = 0.0; + m_omega_mat(0, 1) = -m_omega(2); + m_omega_mat(0, 2) = m_omega(1); + m_omega_mat(1, 0) = m_omega(2); + m_omega_mat(1, 2) = -m_omega(0); + m_omega_mat(2, 0) = -m_omega(1); + m_omega_mat(2, 1) = m_omega(0); + } + + void CoriolisIntegrator::AssembleElementVector(const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) { + if (utils::is_vacuum(Tr, elvec)) { + return; + } + + const mfem::FiniteElement* fe_v = el[0]; + const mfem::FiniteElement* fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const mfem::Vector& v_dofs = *elfun[0]; + const mfem::Vector& rho_dofs = *elfun[1]; + + mfem::Vector& r_v = *elvec[0]; + r_v.SetSize(dof_v * dim); + r_v = 0.0; + if (elvec[1]) { + elvec[1]->SetSize(dof_rho); + *elvec[1] = 0.0; + } + + mfem::Vector shape_v(dof_v), shape_rho(dof_rho); + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder()); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcShape(ip, shape_v); + fe_rho->CalcShape(ip, shape_rho); + + double rho_val = 0.0; + for (int i = 0; i < dof_rho; ++i) rho_val += rho_dofs(i) * shape_rho(i); + + mfem::Vector v_val(dim); v_val = 0.0; + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) v_val(c) += v_dofs(i + c * dof_v) * shape_v(i); + } + + mfem::Vector F_coriolis(dim); + m_omega_mat.Mult(v_val, F_coriolis); + F_coriolis *= 2.0; + + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + r_v(i + c * dof_v) += shape_v(i) * rho_val * F_coriolis(c) * weight; + } + } + } + } + + void CoriolisIntegrator::AssembleElementGrad(const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) { + + const mfem::FiniteElement* fe_v = el[0]; + const mfem::FiniteElement* fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const mfem::Vector& v_dofs = *elfun[0]; + const mfem::Vector& rho_dofs = *elfun[1]; + + mfem::DenseMatrix* dv_dv = elmats(0, 0); + mfem::DenseMatrix* dv_drho = elmats(0, 1); + + if (dv_dv) *dv_dv = 0.0; + if (dv_drho) *dv_drho = 0.0; + + mfem::Vector shape_v(dof_v), shape_rho(dof_rho); + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder()); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcShape(ip, shape_v); + fe_rho->CalcShape(ip, shape_rho); + + double rho_val = 0.0; + for (int i = 0; i < dof_rho; ++i) rho_val += rho_dofs(i) * shape_rho(i); + + mfem::Vector v_val(dim); v_val = 0.0; + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) v_val(c) += v_dofs(i + c * dof_v) * shape_v(i); + } + + mfem::Vector F_coriolis(dim); + m_omega_mat.Mult(v_val, F_coriolis); + F_coriolis *= 2.0; + + if (dv_dv) { + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + int row = i + c * dof_v; + for (int j = 0; j < dof_v; ++j) { + for (int d = 0; d < dim; ++d) { + int col = j + d * dof_v; + double coupling = m_omega_mat(c, d); + (*dv_dv)(row, col) += shape_v(i) * shape_v(j) * 2.0 * rho_val * coupling * weight; + } + } + } + } + } + + if (dv_drho) { + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + int row = i + c * dof_v; + for (int j = 0; j < dof_rho; ++j) { + int col = j; + (*dv_drho)(row, col) += shape_v(i) * shape_rho(j) * F_coriolis(c) * weight; + } + } + } + } + } + } +} \ No newline at end of file diff --git a/libmeanfield/impl/integrators/gravity.cpp b/libmeanfield/impl/integrators/gravity.cpp new file mode 100644 index 0000000..b04abad --- /dev/null +++ b/libmeanfield/impl/integrators/gravity.cpp @@ -0,0 +1,124 @@ +module; +#include +module mean_field; + +namespace mean_field::integrators { + GravityForceIntegrator::GravityForceIntegrator( + const mapping::DomainMapper& map, + const mfem::GridFunction& phi + ): m_map(map), m_phi(&phi) {} + + void GravityForceIntegrator::SetPotential(const mfem::GridFunction& phi) { m_phi = φ }; + + void GravityForceIntegrator::AssembleElementVector( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) { + + if (utils::is_vacuum(Tr, elvec)) { + return; + } + + const mfem::FiniteElement* fe_v = el[0]; + const mfem::FiniteElement* fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const mfem::Vector& rho_dofs = *elfun[1]; + + mfem::Vector& r_v = *elvec[0]; + r_v.SetSize(dof_v * dim); + r_v = 0.0; + if (elvec[1]) { + elvec[1]->SetSize(dof_rho); + *elvec[1] = 0.0; + } + + mfem::Vector shape_v(dof_v), shape_rho(dof_rho); + mfem::Vector grad_phi_ref(dim), grad_phi_phys(dim), grad_phi_elem(dim); + + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder()); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + m_phi->GetGradient(Tr, grad_phi_elem); + mfem::DenseMatrix J_map(dim, dim), J_map_inv(dim, dim); + m_map.ComputeJacobian(Tr, J_map); + mfem::CalcInverse(J_map, J_map_inv); + J_map_inv.MultTranspose(grad_phi_elem, grad_phi_phys); + + fe_v->CalcShape(ip, shape_v); + fe_rho->CalcShape(ip, shape_rho); + + double rho_val = 0.0; + for (int i = 0; i < dof_rho; ++i) { + rho_val += rho_dofs(i) * shape_rho(i); + } + + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + r_v(i + c * dof_v) += shape_v(i) * rho_val * grad_phi_phys(c) * weight; + } + } + } + } + + void GravityForceIntegrator::AssembleElementGrad( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) { + const mfem::FiniteElement* fe_v = el[0]; + const mfem::FiniteElement* fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + mfem::DenseMatrix* dv_dv = elmats(0, 0); + mfem::DenseMatrix* dv_drho = elmats(0, 1); + + if (dv_dv) *dv_dv = 0.0; + if (dv_drho) *dv_drho = 0.0; + + if (!dv_drho) return; + + mfem::Vector shape_v(dof_v), shape_rho(dof_rho); + mfem::Vector grad_phi_ref(dim), grad_phi_phys(dim), grad_phi_elem(dim); + + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder()); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + m_phi->GetGradient(Tr, grad_phi_elem); + mfem::DenseMatrix J_map(dim, dim), J_map_inv(dim, dim); + m_map.ComputeJacobian(Tr, J_map); + mfem::CalcInverse(J_map, J_map_inv); + J_map_inv.MultTranspose(grad_phi_elem, grad_phi_phys); + + fe_v->CalcShape(ip, shape_v); + fe_rho->CalcShape(ip, shape_rho); + + + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + const int row = i + c * dof_v; + for (int j = 0; j < dof_rho; ++j) { + (*dv_drho)(row, j) += shape_v(i) * shape_rho(j) * grad_phi_phys(c) * weight; + } + } + } + } + } +} \ No newline at end of file diff --git a/libmeanfield/impl/integrators/mass_continuity.cpp b/libmeanfield/impl/integrators/mass_continuity.cpp new file mode 100644 index 0000000..b10d6ee --- /dev/null +++ b/libmeanfield/impl/integrators/mass_continuity.cpp @@ -0,0 +1,417 @@ +module; +#include + +module mean_field; + +namespace mean_field::integrators { + ContinuityVolumeIntegrator::ContinuityVolumeIntegrator(const mapping::DomainMapper& map) : m_map(map) {}; + + void ContinuityVolumeIntegrator::AssembleElementVector( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) { + if (utils::is_vacuum(Tr, elvec)) { + return; + } + + const mfem::FiniteElement *fe_v = el[0]; + const mfem::FiniteElement *fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const mfem::Vector v_dofs = *elfun[0]; + const mfem::Vector rho_dofs = *elfun[1]; + + void* data_rho_before = elvec[1] ? (void*)elvec[1]->GetData() : nullptr; + int size_rho_before = elvec[1] ? elvec[1]->Size() : -1; + + if (elvec[0]) { + elvec[0]->SetSize(dof_v * dim); + *elvec[0] = 0.0; + } + mfem::Vector& r_rho = *elvec[1]; + r_rho.SetSize(dof_rho); + r_rho = 0.0; + + + mfem::Vector shape_v(dof_v), shape_rho(dof_rho); + mfem::DenseMatrix dshape_rho_ref(dof_rho, dim), dshape_rho_phys(dof_rho, dim); + + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder()); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcShape(ip, shape_v); + fe_rho->CalcShape(ip, shape_rho); + fe_rho->CalcDShape(ip, dshape_rho_ref); + mfem::Mult(dshape_rho_ref, J_inv, dshape_rho_phys); + + mfem::Vector v_val(dim); v_val = 0.0; + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + const int row = i + c * dof_v; + v_val(c) += v_dofs(row) * shape_v(i); + } + } + double rho_val = 0.0; + for (int i = 0; i < dof_rho; ++i) { + rho_val += rho_dofs(i) * shape_rho(i); + } + + for (int i = 0; i < dof_rho; ++i) { + double grad_dot_rhov = 0.0; + for (int c = 0; c < dim; ++c) { + grad_dot_rhov += dshape_rho_phys(i, c) * rho_val * v_val(c); + } + r_rho(i) -= grad_dot_rhov * weight; + } + } + } + + void ContinuityVolumeIntegrator::AssembleElementGrad( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) { + + const mfem::FiniteElement *fe_v = el[0]; + const mfem::FiniteElement *fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const mfem::Vector& v_dofs = *elfun[0]; + const mfem::Vector& rho_dofs = *elfun[1]; + + mfem::DenseMatrix* drho_dv = elmats(1, 0); + mfem::DenseMatrix* drho_drho = elmats(1, 1); + + if (elmats(0, 0)) *elmats(0, 0) = 0.0; + if (elmats(0, 1)) *elmats(0, 1) = 0.0; + + if (drho_dv) *drho_dv = 0.0; + if (drho_drho) *drho_drho = 0.0; + + mfem::Vector shape_v(dof_v), shape_rho(dof_rho); + mfem::DenseMatrix dshape_rho_ref(dof_rho, dim), dshape_rho_phys(dof_rho, dim); + + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder()); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcShape(ip, shape_v); + fe_rho->CalcShape(ip, shape_rho); + fe_rho->CalcDShape(ip, dshape_rho_ref); + mfem::Mult(dshape_rho_ref, J_inv, dshape_rho_phys); + + mfem::Vector v_val(dim); v_val = 0.0; + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + const int row = i + c * dof_v; + v_val(c) += v_dofs(row) * shape_v(i); + } + } + + double rho_val = 0.0; + for (int i = 0; i < dof_rho; ++i) { + rho_val += rho_dofs(i) * shape_rho(i); + } + + if (drho_dv) { + for (int i = 0; i < dof_rho; ++i) { + for (int j = 0; j < dof_v; ++j) { + for (int d = 0; d < dim; ++d) { + const int col = j + d * dof_v; + (*drho_dv)(i, col) -= dshape_rho_phys(i, d) * rho_val * shape_v(j) * weight; + } + } + } + } + + if (drho_drho) { + for (int i = 0; i < dof_rho; ++i) { + double grad_psi_dot_v = 0.0; + for (int c = 0; c < dim; ++c) { + grad_psi_dot_v += dshape_rho_phys(i, c) * v_val(c); + } + for (int j = 0; j < dof_rho; ++j) { + (*drho_drho)(i, j) -= grad_psi_dot_v * shape_rho(j) * weight; + + } + } + } + } + } + + ContinuityFaceIntegrator::ContinuityFaceIntegrator(const mapping::DomainMapper& map): m_map(map) {} + + void ContinuityFaceIntegrator::AssembleFaceVector( + const mfem::Array &el1, + const mfem::Array &el2, + mfem::FaceElementTransformations &Tr, + const mfem::Array &elfun, + const mfem::Array &elvect + ) { + const mfem::FiniteElement *fe_v_minus = el1[0]; + const mfem::FiniteElement *fe_v_plus = el2[0]; + + const mfem::FiniteElement *fe_rho_minus = el1[1]; + const mfem::FiniteElement *fe_rho_plus = el2[1]; + + const int dof_v_minus = fe_v_minus->GetDof(); + const int dof_v_plus = fe_v_plus->GetDof(); + + const int dof_rho_minus = fe_rho_minus->GetDof(); + const int dof_rho_plus = fe_rho_plus->GetDof(); + + const int dim = Tr.GetSpaceDim(); + + if (elvect[0]) { + elvect[0]->SetSize(dim * dof_v_minus + dim * dof_v_plus); + *elvect[0] = 0.0; + } + mfem::Vector &r_rho = *elvect[1]; + r_rho.SetSize(dof_rho_minus + dof_rho_plus); + r_rho = 0.0; + + const int attr_minus = Tr.Elem1->Attribute; + const int attr_plus = (Tr.Elem2 != nullptr) ? Tr.Elem2->Attribute : -1; + constexpr int VACUUM_ATTR = 3; + + if (attr_minus == VACUUM_ATTR || attr_plus == VACUUM_ATTR) { + return; // No flux contribution for vacuum faces + } + + if (Tr.Elem2 == nullptr) { + return; // Boundary face, + } + + const mfem::Vector &v_dofs = *elfun[0]; // Size: dim * dof_v_minus + dim*dof_v_plus + const mfem::Vector &rho_dofs = *elfun[1]; // Size: dof_rho_minus + dof_rho_plus + + // Helpers to auto offset to the correct point in the dof array + auto rho_minus_dof = [&](const int i) {return rho_dofs(i);}; + auto rho_plus_dof = [&](const int i) {return rho_dofs(i + dof_rho_minus);}; + auto v_minus_dof = [&](const int k, const int c) {return v_dofs(k + c * dof_v_minus);}; + + const int p_v = fe_v_minus->GetOrder(); + const int p_rho = fe_rho_minus->GetOrder(); + const int int_order = 2 * std::max(p_v, p_rho) + 1; + + const mfem::IntegrationRule *ir = &mfem::IntRules.Get(Tr.GetGeometryType(), int_order); + + mfem::Vector shape_v_minus(dof_v_minus), shape_rho_minus(dof_rho_minus), shape_rho_plus(dof_rho_plus); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& face_ip = ir->IntPoint(q); + + Tr.SetAllIntPoints(&face_ip); + const mfem::IntegrationPoint &ip_minus = Tr.GetElement1IntPoint(); + const mfem::IntegrationPoint &ip_plus = Tr.GetElement2IntPoint(); + + auto [n_unit, ds, v_dot_n_scale] = m_map.GetFaceQuadratureContext(Tr, face_ip); + + fe_v_minus->CalcShape(ip_minus, shape_v_minus); + fe_rho_minus->CalcShape(ip_minus, shape_rho_minus); + fe_rho_plus->CalcShape(ip_plus, shape_rho_plus); + + // v dot n + // u_n = ∑ n_c * ∑ v_kc * φ_k + double u_n = 0.0; + for (int c = 0; c < dim; ++c) { + double v_c = 0.0; + for (int k = 0; k < dof_v_minus; ++k) { + v_c += v_minus_dof(k, c) * shape_v_minus(k); + } + u_n += v_c * n_unit(c); + } + + double rho_minus_val = 0.0; + for (int i = 0; i < dof_rho_minus; ++i) { + rho_minus_val += shape_rho_minus(i) * rho_minus_dof(i); + } + + double rho_plus_val = 0.0; + for (int i = 0; i < dof_rho_plus; ++i) { + rho_plus_val += shape_rho_plus(i) * rho_plus_dof(i); + } + + // Upwind density + // I use the convention that the flow is positive when moving from minus to plus + const double rho_up = (u_n >= 0) ? rho_minus_val : rho_plus_val; + + const double flux_weighted = u_n * rho_up * ds; + + // Note the normals need to be in opposite directions for these two fluxes + for (int i = 0; i < dof_rho_minus; ++i) { + r_rho(i) += shape_rho_minus(i) * flux_weighted; + } + + for (int i = 0; i < dof_rho_plus; ++i) { + r_rho(dof_rho_minus + i) -= shape_rho_plus(i) * flux_weighted; + } + } + } + + void ContinuityFaceIntegrator::AssembleFaceGrad( + const mfem::Array &el1, + const mfem::Array &el2, + mfem::FaceElementTransformations &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) { + const mfem::FiniteElement *fe_v_minus = el1[0]; + const mfem::FiniteElement *fe_v_plus = el2[0]; + const mfem::FiniteElement *fe_rho_minus = el1[1]; + const mfem::FiniteElement *fe_rho_plus = el2[1]; + + const int dof_v_minus = fe_v_minus->GetDof(); + const int dof_v_plus = fe_v_plus->GetDof(); + const int dof_rho_minus = fe_rho_minus->GetDof(); + const int dof_rho_plus = fe_rho_plus->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const int N_v_total = dim * (dof_v_minus + dof_v_plus); + const int N_rho_total = dof_rho_minus + dof_rho_plus; + + auto size_and_zero_mat = [&](mfem::DenseMatrix* mat, const int r_size, const int c_size) { + if (mat) { + mat->SetSize(r_size, c_size); + *mat = 0.0; + } + }; + + size_and_zero_mat(elmats(0, 0), N_v_total, N_v_total); + size_and_zero_mat(elmats(0, 1), N_v_total, N_rho_total); + size_and_zero_mat(elmats(1, 0), N_rho_total, N_v_total); + size_and_zero_mat(elmats(1, 1), N_rho_total, N_rho_total); + + if (skip_face(Tr)) return; + + mfem::DenseMatrix *drho_dv = elmats(1, 0); + mfem::DenseMatrix *drho_drho = elmats(1, 1); + + if (!drho_dv && !drho_drho) return; + + const mfem::Vector &v_dofs = *elfun[0]; + const mfem::Vector &rho_dofs = *elfun[1]; + + const int int_order = 2 * std::max(fe_v_minus->GetOrder(), fe_rho_minus->GetOrder()) + 1; + const mfem::IntegrationRule *ir = &mfem::IntRules.Get(Tr.GetGeometryType(), int_order); + + mfem::Vector shape_v_minus(dof_v_minus), shape_rho_minus(dof_rho_minus), shape_rho_plus(dof_rho_plus); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& face_ip = ir->IntPoint(q); + Tr.SetAllIntPoints(&face_ip); + const mfem::IntegrationPoint &ip_minus = Tr.GetElement1IntPoint(); + const mfem::IntegrationPoint &ip_plus = Tr.GetElement2IntPoint(); + + auto [n_unit, ds, v_dot_n_scale] = m_map.GetFaceQuadratureContext(Tr, face_ip); + + fe_v_minus->CalcShape(ip_minus, shape_v_minus); + fe_rho_minus->CalcShape(ip_minus, shape_rho_minus); + fe_rho_plus->CalcShape(ip_plus, shape_rho_plus); + + const double u_n = compute_u_n(v_dofs, shape_v_minus, n_unit, dof_v_minus, dim); + + double rho_minus_val = 0.0; + for (int i = 0; i < dof_rho_minus; ++i) { + rho_minus_val += shape_rho_minus(i) * rho_dofs(i); + } + + double rho_plus_val = 0.0; + for (int i = 0; i < dof_rho_plus; ++i) { + rho_plus_val += shape_rho_plus(i) * rho_dofs(dof_rho_minus + i); + } + + const bool upwind_minus = (u_n >= 0.0); + const double rho_up = upwind_minus ? rho_minus_val : rho_plus_val; + + // (1, 1) + if (drho_drho) { + const double u_w = u_n * ds; + + if (upwind_minus) { + for (int ip = 0; ip < dof_rho_minus; ++ip) { + const double col_w = u_w * shape_rho_minus(ip); + for (int i = 0; i < dof_rho_minus; ++i) { + (*drho_drho)(i, ip) += shape_rho_minus(i) * col_w; + } + for (int j = 0; j < dof_rho_plus; ++j) { + (*drho_drho)(dof_rho_minus + j, ip) -= shape_rho_plus(j) * col_w; + } + } + } else { + for (int jp = 0; jp < dof_rho_plus; ++jp) { + const double col_w = u_w * shape_rho_plus(jp); + const int col_idx = dof_rho_minus + jp; + for (int i = 0; i < dof_rho_minus; ++i) { + (*drho_drho)(i, col_idx) += shape_rho_minus(i) * col_w; + } + for (int j = 0; j < dof_rho_plus; ++j) { + (*drho_drho)(dof_rho_minus + j, col_idx) -= shape_rho_plus(j) * col_w; + } + } + } + } + // (1, 0) + if (drho_dv) { + const double rho_w = rho_up * ds; + for (int c = 0; c < dim; ++c) { + const double n_c_rho_w = n_unit(c) * rho_w; + for (int k = 0; k < dof_v_minus; ++k) { + const int col_idx = k + c * dof_v_minus; + const double col_w = n_c_rho_w * shape_v_minus(k); + for (int i = 0; i < dof_rho_minus; ++i) { + (*drho_dv)(i, col_idx) += shape_rho_minus(i) * col_w; + } + for (int j = 0; j < dof_rho_plus; ++j) { + (*drho_dv)(dof_rho_minus + j, col_idx) -= shape_rho_plus(j) * col_w; + } + } + } + } + } + } + + bool ContinuityFaceIntegrator::skip_face(const mfem::FaceElementTransformations& Tr) { + constexpr int VACUUM_ATTR = 3; + const int attr_minus = Tr.Elem1->Attribute; + const int attr_plus = (Tr.Elem2 != nullptr) ? Tr.Elem2->Attribute : -1; + if (attr_minus == VACUUM_ATTR || attr_plus == VACUUM_ATTR) { + return true; // No flux contribution for vacuum faces + } + if (Tr.Elem2 == nullptr) { + return true; // Boundary face, + } + return false; + } + + double ContinuityFaceIntegrator::compute_u_n(const mfem::Vector& v_dofs, const mfem::Vector& shape_v_minus, const mfem::Vector& n_unit, int dof_v_minus, int dim) { + double u_n = 0.0; + for (int c = 0; c < dim; ++c) { + double v_c = 0.0; + for (int k = 0; k < dof_v_minus; ++k) { + v_c += v_dofs(k + c * dof_v_minus) * shape_v_minus(k); + } + u_n += v_c * n_unit(c); + } + return u_n; + } +} + diff --git a/libmeanfield/impl/integrators/viscosity.cpp b/libmeanfield/impl/integrators/viscosity.cpp new file mode 100644 index 0000000..bbf6d4b --- /dev/null +++ b/libmeanfield/impl/integrators/viscosity.cpp @@ -0,0 +1,156 @@ +module; +#include +module mean_field; + +namespace mean_field::integrators { + ViscosityIntegrator::ViscosityIntegrator( + const mapping::DomainMapper& map, + const double mu, + const int quad_boost + ) : m_map(map), m_mu(mu), m_quad_boost(quad_boost) {} + + void ViscosityIntegrator::SetMu(const double mu) { m_mu = mu; } + + void ViscosityIntegrator::AssembleElementVector( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) { + if (utils::is_vacuum(Tr, elvec)) { + return; + } + + void* data_before = (void*)elvec[0]->GetData(); + int size_before = elvec[0]->Size(); + + const mfem::FiniteElement* fe_v = el[0]; + const mfem::FiniteElement* fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const mfem::Vector& v_dofs = *elfun[0]; + + mfem::Vector& r_v = *elvec[0]; + r_v.SetSize(dof_v * dim); + r_v = 0.0; + if (elvec[1]) { + elvec[1]->SetSize(dof_rho); + *elvec[1] = 0.0; + } + + mfem::DenseMatrix dshape_v_ref(dof_v, dim), dshape_v_phys(dof_v, dim); + + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder() + m_quad_boost); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + + + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcDShape(ip, dshape_v_ref); + mfem::Mult(dshape_v_ref, J_inv, dshape_v_phys); + + // ∇v(c,j) = δj v_c + mfem::DenseMatrix grad_v(dim, dim); grad_v = 0.0; + for (int n = 0; n < dof_v; ++n) { + for (int c = 0; c < dim; ++c) { + const double vn_c = v_dofs(n + c * dof_v); + for (int j = 0; j < dim; ++j) { + grad_v( c, j) += vn_c * dshape_v_phys(n, j); + } + } + } + + double div_v = 0.0; + for (int c = 0; c < dim; ++c) { + div_v += grad_v(c, c); + } + + // D_cj = dj v_c + dc v_j - (2/3) δcj ∇v + // R_v_i^c += μ * weight * ∑_j (δj φi) D_cj + const double mu_w = m_mu * weight; + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + double acc = 0.0; + for (int j = 0; j < dim; ++j) { + double D_cj = grad_v(c, j) + grad_v(j, c); + if (c == j) D_cj -= (2.0 / 3.0) * div_v; + acc += dshape_v_phys(i, j) * D_cj; + } + r_v(i + c * dof_v) += mu_w * acc; + } + } + } + } + + void ViscosityIntegrator::AssembleElementGrad( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) { + const mfem::FiniteElement* fe_v = el[0]; + const mfem::FiniteElement* fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + mfem::DenseMatrix* dv_dv = elmats(0, 0); + mfem::DenseMatrix* dv_drho = elmats(0, 1); + + if (dv_drho) *dv_drho =0.0; + if (dv_dv) *dv_dv = 0.0; + if (elmats(1, 0)) *elmats(1, 0) = 0.0; + if (elmats(1, 1)) *elmats(1, 1) = 0.0; + if (!dv_dv) return; + + mfem::DenseMatrix dshape_v_ref(dof_v, dim), dshape_v_phys(dof_v, dim); + + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder()); + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcDShape(ip, dshape_v_ref); + mfem::Mult(dshape_v_ref, J_inv, dshape_v_phys); + + const double mu_w = m_mu * weight; + + for (int i = 0; i < dof_v; ++i) { + for (int n = 0; n < dof_v; ++n) { + double dot_grad = 0.0; + for (int j = 0; j < dim; ++j) { + dot_grad += dshape_v_phys(i, j) * dshape_v_phys(n, j); + } + + for (int c = 0; c < dim; ++c) { + const int row = i + c * dof_v; + for (int d = 0; d < dim; ++d) { + const int col = n + d * dof_v; + + double val = 0.0; + if (c == d) val += dot_grad; + + val += dshape_v_phys(i, d) * dshape_v_phys(n, c); + + val -= (2.0 / 3.0) * dshape_v_phys(i, c) * dshape_v_phys(n, d); + (*dv_dv)(row, col) += mu_w * val; + } + } + } + } + } + + } + + +} \ No newline at end of file diff --git a/libmeanfield/impl/mapping/coefficients.cpp b/libmeanfield/impl/mapping/coefficients.cpp new file mode 100644 index 0000000..2b226a4 --- /dev/null +++ b/libmeanfield/impl/mapping/coefficients.cpp @@ -0,0 +1,152 @@ +module; +#include + +module mean_field; +import :mapping.types; + +namespace mean_field::mapping { + /////////////////////////////// + /// MappedScalarCoefficient /// + ////////////////////////////// + MappedScalarCoefficient::MappedScalarCoefficient( + const DomainMapper &map, + mfem::Coefficient &coeff, + const COORDINATE_SPACE coord_space + ) : m_map(map), + m_coeff(coeff), + m_coord_space(coord_space) {}; + + double MappedScalarCoefficient::Eval(mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) { + T.SetIntPoint(&ip); + double f_val = 0.0; + + switch (m_coord_space) { + case COORDINATE_SPACE::PHYSICAL: { + f_val = eval_at_point(m_coeff, T, ip); + const double detJ = m_map.ComputeDetJ(T, ip); + return f_val * fabs(detJ); + } + case COORDINATE_SPACE::REFERENCE: { + f_val = m_coeff.Eval(T, ip); + return f_val; + } + } + } + + double MappedScalarCoefficient::eval_at_point(mfem::Coefficient &c, mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) { + return c.Eval(T, ip); + } + + ////////////////////////////////// + /// MappedDiffusionCoefficient /// + ////////////////////////////////// + + MappedDiffusionCoefficient::MappedDiffusionCoefficient( + const DomainMapper &map, + mfem::Coefficient &sigma, + const int dim + ) : mfem::MatrixCoefficient(dim), + m_map(map), + m_scalar(&sigma), + m_tensor(nullptr) { + }; + + MappedDiffusionCoefficient::MappedDiffusionCoefficient( + const DomainMapper &map, + mfem::MatrixCoefficient &sigma + ) : mfem::MatrixCoefficient(sigma.GetHeight()), + m_map(map), + m_scalar(nullptr), + m_tensor(&sigma) { + }; + + void MappedDiffusionCoefficient::Eval(mfem::DenseMatrix &K, mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) { + const int dim = height; + T.SetIntPoint(&ip); + + mfem::DenseMatrix J(dim, dim), JInv(dim, dim); + m_map.ComputeJacobian(T, J); + const double detJ = J.Det(); + mfem::CalcInverse(J, JInv); + + if (m_scalar) { + const double sig_val = m_scalar->Eval(T, ip); + mfem::MultABt(JInv, JInv, K); + K *= sig_val * fabs(detJ); + } else { + mfem::DenseMatrix sig_mat(dim, dim); + m_tensor->Eval(sig_mat, T, ip); + + mfem::DenseMatrix temp(dim, dim); + Mult(JInv, sig_mat, temp); + + MultABt(temp, JInv, K); + K *= fabs(detJ); + } + } + + /////////////////////////////// + /// MappedVectorCoefficient /// + /////////////////////////////// + MappedVectorCoefficient::MappedVectorCoefficient( + const DomainMapper &map, + mfem::VectorCoefficient &coeff + ) : mfem::VectorCoefficient(coeff.GetVDim()), + m_map(map), + m_coeff(coeff) { + }; + + void MappedVectorCoefficient::Eval(mfem::Vector &V, mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) { + const int dim = vdim; + T.SetIntPoint(&ip); + + mfem::DenseMatrix JInv(dim, dim); + m_map.ComputeInverseJacobian(T, JInv); + double detJ = m_map.ComputeDetJ(T, ip); + + mfem::Vector C_phys(dim); + m_coeff.Eval(C_phys, T, ip); + + V.SetSize(dim); + JInv.MultTranspose(C_phys, V); + V *= fabs(detJ); + } + + /////////////////////////////////////////// + /// PhysicalPositionFunctionCoefficient /// + /////////////////////////////////////////// + PhysicalPositionFunctionCoefficient::PhysicalPositionFunctionCoefficient( + const DomainMapper &map, + Func f // std::function + ) : m_f(std::move(f)), + m_map(map) {}; + + double PhysicalPositionFunctionCoefficient::Eval(mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) { + T.SetIntPoint(&ip); + mfem::Vector x; + m_map.GetPhysicalPoint(T, ip, x); + return m_f(x); + } + + MappedHDivMassCoefficient::MappedHDivMassCoefficient(const DomainMapper& map, const int dim) + : mfem::MatrixCoefficient(dim), + m_map(map) {} + + void MappedHDivMassCoefficient::Eval( + mfem::DenseMatrix& matrix, + mfem::ElementTransformation& transformation, + const mfem::IntegrationPoint& integration_point + ) { + transformation.SetIntPoint(&integration_point); + + mfem::DenseMatrix map_jacobian(height, height); + m_map.ComputeJacobian(transformation, map_jacobian); + + const double map_determinant = map_jacobian.Det(); + + MFEM_VERIFY(map_determinant > 0.0, "Domain mapping has a non-positive Jacobian determinant."); + + mfem::MultAtB(map_jacobian, map_jacobian, matrix); + matrix *= 1.0 / std::abs(map_determinant); + } +} diff --git a/libmeanfield/impl/mapping/domain_mapper.cpp b/libmeanfield/impl/mapping/domain_mapper.cpp new file mode 100644 index 0000000..6ec90ba --- /dev/null +++ b/libmeanfield/impl/mapping/domain_mapper.cpp @@ -0,0 +1,294 @@ +module; +#include + +module mean_field; + +namespace mean_field::mapping { + DomainMapper::DomainMapper( + const double r_star_ref, + const double r_inf_ref + ) : m_d(nullptr), + m_r_star_ref(r_star_ref), + m_r_inf_ref(r_inf_ref) { + InitAllScratchSpaces(); + } + + DomainMapper::DomainMapper( + const mfem::GridFunction &d, + const double r_star_ref, + const double r_inf_ref + ) : m_d(&d), + m_dim(d.FESpace()->GetMesh()->Dimension()), + m_r_star_ref(r_star_ref), + m_r_inf_ref(r_inf_ref) { + InitAllScratchSpaces(); + } + + bool DomainMapper::is_vacuum(const mfem::ElementTransformation &T) const { + if (T.ElementType == mfem::ElementTransformation::ELEMENT) { + return T.Attribute == m_vacuum_attr; + } else if (T.ElementType == mfem::ElementTransformation::BDR_ELEMENT) { + return T.Attribute == m_vacuum_attr - 1; + // TODO: In a more robust code this should really be read from the stroid API to ensure that the vacuum boundary is really 1 - the vacuum material attribute + } + return false; + } + + void DomainMapper::SetDisplacement(const mfem::GridFunction &d) { + if (m_dim != d.FESpace()->GetMesh()->Dimension()) { + const std::string err_msg = std::format( + "Dimension mismatch: DomainMapper is initialized for dimension {}, but provided displacement field has dimension {}.", + m_dim, d.FESpace()->GetMesh()->Dimension()); + throw std::invalid_argument(err_msg); + } + m_d = &d; + InvalidateCache(); + } + + bool DomainMapper::IsIdentity() const { + return (m_d == nullptr); + } + + void DomainMapper::ResetDisplacement() { + m_d = nullptr; + InvalidateCache(); + } + + void DomainMapper::ComputeJacobian(mfem::ElementTransformation &T, mfem::DenseMatrix &J) const { + J.SetSize(m_dim, m_dim); + J = 0.0; + m_J_D = 0.0; + if (IsIdentity()) { + for (int i = 0; i < m_dim; ++i) { + m_J_D(i, i) = 1.0; // Identity mapping + } + } else { + UpdateElementCache(T); + m_dshape.SetSize(m_fe->GetDof(), m_dim); + m_fe->CalcPhysDShape(T, m_dshape); + mfem::MultAtB(m_dof_mat, m_dshape, m_J_D); + + for (int i = 0; i < m_dim; ++i) { + m_J_D(i, i) += 1.0; + } + } + + if (is_vacuum(T)) { + T.Transform(T.GetIntPoint(), m_x_ref); + + if (IsIdentity()) { + m_x_disp = m_x_ref; + } else { + m_shape.SetSize(m_fe->GetDof()); + m_fe->CalcShape(T.GetIntPoint(), m_shape); + m_dof_mat.MultTranspose(m_shape, m_d_val); + add(m_x_ref, m_d_val, m_x_disp); + } + + ComputeKelvinJacobian(m_x_ref, m_x_disp, m_J_D, J); + } else { + J = m_J_D; + } + } + + double DomainMapper::ComputeDetJ(mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) const { + if (IsIdentity() && !is_vacuum(T)) return 1.0; // If no mapping, the determinant of the Jacobian is 1 + T.SetIntPoint(&ip); + mfem::DenseMatrix J; + ComputeJacobian(T, J); + return J.Det(); + } + + void DomainMapper::ComputeMappedDiffusionTensor(mfem::ElementTransformation &T, mfem::DenseMatrix &D) const { + ComputeJacobian(T, m_J_temp); + const double detJ = m_J_temp.Det(); + mfem::CalcInverse(m_J_temp, m_JInv_temp); + D.SetSize(m_dim, m_dim); + mfem::MultABt(m_JInv_temp, m_JInv_temp, D); + D *= fabs(detJ); + } + + void DomainMapper::ComputeInverseJacobian(mfem::ElementTransformation &T, mfem::DenseMatrix &JInv) const { + ComputeJacobian(T, m_J_temp); + JInv.SetSize(m_dim, m_dim); + mfem::CalcInverse(m_J_temp, JInv); + } + + DomainMapper::VolumeQuadratureContext DomainMapper::GetQuadratureContext(mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) const { + const int dim = T.GetSpaceDim(); + mfem::DenseMatrix J_map(dim, dim), J_inv(dim, dim); + ComputeJacobian(T, J_map); + mfem::DenseMatrix J_full(dim, dim); + mfem::Mult(J_map, T.Jacobian(), J_full); + mfem::CalcInverse(J_full, J_inv); + const double detJ = std::fabs(ComputeDetJ(T, ip)); + const double weight = ip.weight * T.Weight() * detJ; + return {.J_inv = J_inv, .detJ = detJ, .weight = weight}; + } + + DomainMapper::FaceQuadratureContext DomainMapper::GetFaceQuadratureContext(mfem::FaceElementTransformations &T, const mfem::IntegrationPoint &ip) const { + const int dim = T.GetSpaceDim(); + T.SetAllIntPoints(&ip); + + mfem::Vector n_raw(dim); + mfem::CalcOrtho(T.Jacobian(), n_raw); + + if (IsIdentity()) { + const double n_raw_mag = n_raw.Norml2(); + mfem::Vector n_unit(dim); + n_unit = n_raw; + n_unit /= n_raw_mag; + return FaceQuadratureContext{.normal=n_unit, .ds=ip.weight * n_raw_mag, .v_dot_n_scale = 1.0}; + } + + // Nanson's Formula (https://en.wikiversity.org/wiki/Continuum_mechanics/Volume_change_and_area_change) + // Since the displacement field lives in H1 it should be irrelevant if we pick Elem1 or Elem2 + mfem::DenseMatrix J_map(dim, dim); + ComputeJacobian(*T.Elem1, J_map); + const double detJ_map = J_map.Det(); + + mfem::DenseMatrix J_map_inv(dim, dim); + mfem::CalcInverse(J_map, J_map_inv); + + mfem::Vector n_phys(dim); + J_map_inv.MultTranspose(n_raw, n_phys); + n_phys *= detJ_map; + + const double n_phys_mag = n_phys.Norml2(); + mfem::Vector n_unit(dim); + n_unit = n_phys; + n_unit /= n_phys_mag; + + const double n_raw_mag = n_raw.Norml2(); + + return FaceQuadratureContext{ + .normal = n_unit, + .ds = ip.weight * n_raw_mag, + .v_dot_n_scale = n_phys_mag / n_raw_mag + }; + + } + + void DomainMapper::GetPhysicalPoint(mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip, mfem::Vector &x_phys) const { + x_phys.SetSize(m_dim); + T.Transform(ip, m_x_ref); + + if (IsIdentity()) { + x_phys = m_x_ref; + } else { + UpdateElementCache(T); + + m_shape.SetSize(m_fe->GetDof()); + m_fe->CalcShape(ip, m_shape); + + m_dof_mat.MultTranspose(m_shape, m_d_val); + add(m_x_ref, m_d_val, x_phys); + } + if (is_vacuum(T)) { + ApplyKelvinMapping(m_x_ref, x_phys); + } + } + + void DomainMapper::GetVectorValue(const int i, const mfem::IntegrationPoint &ip, mfem::Vector &val) const { + m_d->GetVectorValue(i, ip, val); + } + + const mfem::GridFunction *DomainMapper::GetDisplacement() const { return m_d; } + + double DomainMapper::GetPhysInfRadius() const { + return 1.0 - m_xi_clamp; + } + + size_t DomainMapper::GetCacheHits() const { + return m_cache_hits; + } + + size_t DomainMapper::GetCacheMisses() const { + return m_cache_misses; + } + + double DomainMapper::GetCacheHitRate() const { + return (static_cast(m_cache_hits)) / static_cast(m_cache_misses + m_cache_hits); + } + + void DomainMapper::ResetCacheStats() const { + m_cache_hits = 0; + m_cache_misses = 0; + } + + void DomainMapper::InitAllScratchSpaces() const { + m_J_D.SetSize(m_dim, m_dim); + m_J_temp.SetSize(m_dim, m_dim); + m_JInv_temp.SetSize(m_dim, m_dim); + m_x_ref.SetSize(m_dim); + m_x_disp.SetSize(m_dim); + m_d_val.SetSize(m_dim); + } + + void DomainMapper::ApplyKelvinMapping(const mfem::Vector &x_ref, mfem::Vector &x_phys) const { + const double r_ref = x_ref.Norml2(); + double xi = (r_ref - m_r_star_ref) / (m_r_inf_ref - m_r_star_ref); + xi = std::clamp(xi, 0.0, m_xi_clamp); + const double factor = m_r_star_ref / (r_ref * (1 - xi)); + x_phys *= factor; + } + + void DomainMapper::ComputeKelvinJacobian(const mfem::Vector &x_ref, const mfem::Vector &x_disp, const mfem::DenseMatrix &J_D, + mfem::DenseMatrix &J) const { + const double r_ref = x_ref.Norml2(); + const double delta_R = m_r_inf_ref - m_r_star_ref; + + double xi = (r_ref - m_r_star_ref) / delta_R; + xi = std::clamp(xi, 0.0, m_xi_clamp); + + const double denom = 1.0 - xi; + + const double k = m_r_star_ref / (r_ref * denom); + + const double dk_dr = m_r_star_ref * ((1.0 / (delta_R * r_ref * denom * denom)) - ( + 1.0 / (r_ref * r_ref * denom))); + + J.SetSize(m_dim, m_dim); + const double outer_factor = dk_dr / r_ref; + + for (int i = 0; i < m_dim; ++i) { + for (int j = 0; j < m_dim; ++j) { + J(i, j) = outer_factor * x_disp(i) * x_ref(j) + k * J_D(i, j); + } + } + } + + void DomainMapper::InvalidateCache() const { + m_cached_elem_id = -1; + } + + void DomainMapper::UpdateElementCache(const mfem::ElementTransformation &T) const { + if (IsIdentity()) return; + + if (T.ElementNo != m_cached_elem_id || T.ElementType != m_cached_elem_type) { + m_cache_misses++; + m_cached_elem_id = T.ElementNo; + m_cached_elem_type = T.ElementType; + + const mfem::FiniteElementSpace *fes = m_d->FESpace(); + mfem::Array vdofs; + + if (T.ElementType == mfem::ElementTransformation::ELEMENT) { + m_fe = fes->GetFE(m_cached_elem_id); + fes->GetElementVDofs(m_cached_elem_id, vdofs); + } else { + m_fe = fes->GetBE(m_cached_elem_id); + fes->GetBdrElementVDofs(m_cached_elem_id, vdofs); + } + + m_d->GetSubVector(vdofs, m_elem_dofs); + + const int nd = m_fe->GetDof(); + const int vd = fes->GetVDim(); + + m_dof_mat.UseExternalData(m_elem_dofs.GetData(), nd, vd); + } else { + m_cache_hits++; + } + } +} diff --git a/libmeanfield/impl/physics/gravity.cpp b/libmeanfield/impl/physics/gravity.cpp new file mode 100644 index 0000000..85e4c30 --- /dev/null +++ b/libmeanfield/impl/physics/gravity.cpp @@ -0,0 +1,297 @@ +module; +#include "mfem.hpp" +#include +#include +#include +#include +#include + +module mean_field; +import :mapping.coefficients; +import :analysis.integral; + +namespace { + double centrifugal_potential(const mfem::Vector &phys_x, const double omega) { + const double s2 = std::pow(phys_x(0), 2) + std::pow(phys_x(1), 2); + return -0.5 * s2 * std::pow(omega, 2); + } +} + +namespace mean_field::physics { + GravitySolution grav_potential( + fem::FEM &f, + const utils::Args &args, + const mfem::GridFunction &rho, + const bool phi_warm + ) { + mfem::Array outer_bdr_marker(f.mesh->bdr_attributes.Max()); + outer_bdr_marker = 0; + outer_bdr_marker[1] = 1; + + mfem::ParLinearForm g_rhs(f.RT_fes.get()); + + // ReSharper disable once CppTooWideScope + std::unique_ptr boundary_potential_coeff; + + if (!f.has_mapping()) { // We only need to explicitly add a boundary integrator if a mapping is not being used. In the case where the outer domain has been compactified the φ=0 boundary condition is the natural condition and MFEM automatically handles this + auto boundary_potential = [&f](const mfem::Vector& x_physical) { + return l2_multipole_potential(f, utils::MASS, x_physical); + }; + + boundary_potential_coeff = std::make_unique(boundary_potential); + auto boundary_integrator = std::make_unique(*boundary_potential_coeff); + const mfem::FiniteElement& boundary_element = *f.RT_fes->GetTypicalTraceElement(); + + f.quadrature_factory->configure_gravity_boundary(*boundary_integrator, quadrature::QuadratureRole::discretization, boundary_element, utils::DOMAINS::VACUUM, quadrature::MappingKind::none); + g_rhs.AddBoundaryIntegrator(boundary_integrator.release(), outer_bdr_marker); + } + + g_rhs.Assemble(); + mfem::GridFunctionCoefficient rho_coeff(&rho); + mfem::ConstantCoefficient G4pi(4.0 * M_PI * utils::G); + mfem::ProductCoefficient source_coeff(G4pi, rho_coeff); + mfem::ParLinearForm f_rhs(f.L2_fes.get()); + + std::unique_ptr mapped_source_coeff; + mfem::Coefficient* active_source_coeff = &source_coeff; + quadrature::MappingKind source_mapping_kind = quadrature::MappingKind::none; + + if (f.has_mapping()) { + mapped_source_coeff = std::make_unique(*f.mapping, source_coeff); + active_source_coeff = mapped_source_coeff.get(); + source_mapping_kind = quadrature::MappingKind::general; + } + + auto source_integrator = std::make_unique(*active_source_coeff); + const mfem::FiniteElement& source_test_element = *f.L2_fes->GetTypicalFE(); + const mfem::ElementTransformation& source_transformation = *f.mesh->GetElementTransformation(0); + const int source_coefficient_order = f.L2_fes->GetMaxElementOrder(); + + f.quadrature_factory->configure_gravity_source(*source_integrator, quadrature::QuadratureRole::discretization, source_test_element, source_transformation, source_coefficient_order, utils::DOMAINS::STELLAR, source_mapping_kind); + f_rhs.AddDomainIntegrator(source_integrator.release(), f.gravity_context.stellar_mask); + f_rhs.Assemble(); + + mfem::BlockVector RHS(f.gravity_block_true_offsets); + RHS.GetBlock(0) = *g_rhs.ParallelAssemble(); + RHS.GetBlock(1) = *f_rhs.ParallelAssemble(); + + mfem::BlockVector X(f.gravity_block_true_offsets); + X = 0.0; + f.gravity_context.minres->SetOperator(*f.gravity_context.block_A); + f.gravity_context.minres->Mult(RHS, X); + + GravitySolution solution(f); + solution.gradPhi.SetFromTrueDofs(X.GetBlock(0)); + solution.phi.SetFromTrueDofs(X.GetBlock(1)); + + return solution; + + } + + mfem::GridFunction get_potential( + fem::FEM &fem, + const utils::Args &args, + const mfem::GridFunction &rho, + const bool warm + ) { + auto phi = grav_potential(fem, args, rho, warm); + + if (args.r.enabled) { + auto rot = [&fem, &args](const mfem::Vector &x) { + mfem::Vector rel_x = x; + rel_x -= fem.com; + return centrifugal_potential(rel_x, args.r.omega); + }; + + std::unique_ptr centrifugal_coeff; + if (fem.has_mapping()) { + centrifugal_coeff = std::make_unique(*fem.mapping, rot); + } else { + centrifugal_coeff = std::make_unique(rot); + } + + mfem::GridFunction centrifugal_gf(fem.H1_fes.get()); + centrifugal_gf.ProjectCoefficient(*centrifugal_coeff); + + phi.phi += centrifugal_gf; + } + return phi.phi; + + } + + mfem::DenseMatrix compute_quadrupole_moment_tensor( + const fem::FEM &fem, + const mfem::GridFunction &rho, + const mfem::Vector &com + ) { + const int dim = fem.mesh->Dimension(); + mfem::DenseMatrix local_Q(dim, dim); + local_Q = 0.0; + + for (int i = 0; i < fem.H1_fes->GetNE(); ++i) { + if (fem.mesh->GetAttribute(i) == 3) continue; + + mfem::ElementTransformation *trans = fem.mesh->GetElementTransformation(i); + const mfem::IntegrationRule &ir = *fem.int_rule; + + for (int j = 0; j < ir.GetNPoints(); ++j) { + const mfem::IntegrationPoint &ip = ir.IntPoint(j); + trans->SetIntPoint(&ip); + + double weight = trans->Weight() * ip.weight; + + if (fem.has_mapping()) { + weight *= fem.mapping->ComputeDetJ(*trans, ip); + } + + const double rho_val = rho.GetValue(i, ip); + + mfem::Vector phys_point(dim); + if (fem.has_mapping()) { + fem.mapping->GetPhysicalPoint(*trans, ip, phys_point); + } else { + trans->Transform(ip, phys_point); + } + + mfem::Vector x_prime(dim); + double r_sq = 0.0; + + for (int d = 0; d < dim; ++d) { + x_prime(d) = phys_point(d) - com(d); + r_sq += x_prime(d) * x_prime(d); + } + + for (int m = 0; m < dim; ++m) { + for (int n = 0; n < dim; ++n) { + const double delta = (m == n) ? 1.0 : 0.0; + const double contrib = 3.0 * x_prime(m) * x_prime(n) - delta * r_sq; + local_Q(m, n) += rho_val * contrib * weight; + } + } + } + } + + mfem::DenseMatrix global_Q(dim, dim); + MPI_Allreduce(local_Q.GetData(), global_Q.GetData(), dim * dim, MPI_DOUBLE, MPI_SUM, fem.H1_fes->GetComm()); + + return global_Q; + } + + double l2_multipole_potential( + const fem::FEM &fem, + const double total_mass, + const mfem::Vector &phys_x + ) { + const double r = phys_x.Norml2(); + if (r < 1e-12) return 0.0; + + const int dim = fem.mesh->Dimension(); + + mfem::Vector n(phys_x); + n /= r; + + double l2_mult_factor = 0.0; + for (int i = 0; i < dim; ++i) { + for (int j = 0; j < dim; ++j) { + l2_mult_factor += fem.Q(i, j) * n(i) * n(j); + } + } + + const double l2_contrib = -(utils::G / (2.0 * std::pow(r, 3))) * l2_mult_factor; + + const double l0_contrib = -utils::G * total_mass / r; + + // l1 contribution is zero for a system centered on its COM + return l0_contrib + l2_contrib; + } + + void update_stiffness_matrix(fem::FEM &f) { + mfem::Array empty_tdofs; + + // ========================================== + // 1. Partially Assemble the High-Order Mass Block + // ========================================== + f.gravity_context.m_form = std::make_unique(f.RT_fes.get()); + f.gravity_context.m_form->SetAssemblyLevel(mfem::AssemblyLevel::PARTIAL); + + std::unique_ptr hdiv_mass_integrator; + + if (f.has_mapping()) { + f.gravity_context.mapped_hdiv_mass_coeff = std::make_unique(*f.mapping, f.mesh->Dimension()); + hdiv_mass_integrator = std::make_unique(*f.gravity_context.mapped_hdiv_mass_coeff); + } else { + f.gravity_context.mapped_hdiv_mass_coeff.reset(); + hdiv_mass_integrator = std::make_unique(); + } + + const mfem::FiniteElement& hdiv_element = *f.RT_fes->GetTypicalFE(); + const mfem::ElementTransformation& hdiv_transformation = *f.mesh->GetElementTransformation(0); + const quadrature::MappingKind mapping_kind = f.has_mapping() ? quadrature::MappingKind::general : quadrature::MappingKind::none; + + f.quadrature_factory->configure_gravity_hdiv_mass(*hdiv_mass_integrator, quadrature::QuadratureRole::discretization, hdiv_element, hdiv_transformation, utils::DOMAINS::ALL, mapping_kind); + f.gravity_context.m_form->AddDomainIntegrator(hdiv_mass_integrator.release()); + f.gravity_context.m_form->Assemble(); + + // ========================================== + // 2. Partially Assemble the High-Order Divergence Block + // ========================================== + f.gravity_context.b_form = std::make_unique(f.RT_fes.get(), f.L2_fes.get()); + f.gravity_context.b_form->SetAssemblyLevel(mfem::AssemblyLevel::PARTIAL); + + auto divergence_discretization_integrator = std::make_unique(); + const mfem::FiniteElement& divergence_discretization_test_element = *f.L2_fes->GetTypicalFE(); + + f.quadrature_factory->configure_gravity_divergence(*divergence_discretization_integrator, quadrature::QuadratureRole::discretization, hdiv_element, divergence_discretization_test_element, hdiv_transformation, utils::DOMAINS::ALL, quadrature::MappingKind::none); + f.gravity_context.b_form->AddDomainIntegrator(divergence_discretization_integrator.release()); + f.gravity_context.b_form->Assemble(); + // ========================================== + // 3. Assemble Global Block Operator + // ========================================== + f.gravity_context.BT = std::make_unique(f.gravity_context.b_form.get()); + + f.gravity_context.block_A = std::make_unique(f.gravity_block_true_offsets); + f.gravity_context.block_A->SetBlock(0, 0, f.gravity_context.m_form.get()); + f.gravity_context.block_A->SetBlock(0, 1, f.gravity_context.BT.get()); + f.gravity_context.block_A->SetBlock(1, 0, f.gravity_context.b_form.get()); + + // ========================================== + // 4. Construct a mapped Schur preconditioner + // ========================================== + mfem::Vector mass_diagonal(f.RT_fes->GetTrueVSize()); + f.gravity_context.m_form->AssembleDiagonal(mass_diagonal); + + mfem::Vector inverse_mass_diagonal(mass_diagonal); + + for (int i = 0; i < inverse_mass_diagonal.Size(); ++i) { + MFEM_VERIFY(std::isfinite(inverse_mass_diagonal(i)) && inverse_mass_diagonal(i) > 0.0, "Mapped RT mass matrix has a non-positive or non-finite diagonal entry."); + inverse_mass_diagonal(i) = 1.0 / inverse_mass_diagonal(i); + } + + mfem::ParMixedBilinearForm b_preconditioner(f.RT_fes.get(), f.L2_fes.get()); + auto divergence_preconditioner_integrator = std::make_unique(); + + const mfem::FiniteElement& divergence_trial_element = *f.RT_fes->GetTypicalFE(); + const mfem::FiniteElement& divergence_test_element = *f.L2_fes->GetTypicalFE(); + const mfem::ElementTransformation& divergence_transformation = *f.mesh->GetElementTransformation(0); + + f.quadrature_factory->configure_gravity_divergence(*divergence_preconditioner_integrator, quadrature::QuadratureRole::preconditioner, divergence_trial_element, divergence_test_element, divergence_transformation, utils::DOMAINS::ALL, quadrature::MappingKind::none); + b_preconditioner.AddDomainIntegrator(divergence_preconditioner_integrator.release()); + b_preconditioner.Assemble(); + b_preconditioner.Finalize(); + std::unique_ptr b_matrix(b_preconditioner.ParallelAssemble()); + std::unique_ptr inverse_mass_b_transpose(b_matrix->Transpose()); + + inverse_mass_b_transpose->ScaleRows(inverse_mass_diagonal); + + f.gravity_context.Schur.reset(mfem::ParMult(b_matrix.get(), inverse_mass_b_transpose.get())); + + // ========================================== + // 5. Wire Up the preconditioners + // ========================================== + f.gravity_context.prec_M = std::make_unique(mass_diagonal, empty_tdofs); + f.gravity_context.prec_Phi->SetOperator(*f.gravity_context.Schur); + f.gravity_context.block_prec->SetDiagonalBlock(0, f.gravity_context.prec_M.get()); + f.gravity_context.block_prec->SetDiagonalBlock(1, f.gravity_context.prec_Phi.get()); + } + +} \ No newline at end of file diff --git a/libmeanfield/impl/physics/solid.cpp b/libmeanfield/impl/physics/solid.cpp new file mode 100644 index 0000000..e0c0c8d --- /dev/null +++ b/libmeanfield/impl/physics/solid.cpp @@ -0,0 +1,38 @@ +module; +#include "mean_field.h" + +module mean_field; + +namespace mean_field::physics { + double compute_moment_of_inertia(const fem::FEM &fem, const mfem::GridFunction &rho_ref) { + double local_I = 0.0; + + for (int i = 0; i < fem.mesh->GetNE(); i++) { + if (fem.mesh->GetAttribute(i) == 3) continue; + + mfem::ElementTransformation *T = fem.mesh->GetElementTransformation(i); + const mfem::IntegrationRule &ir = *fem.int_rule; + + for (int j = 0; j < ir.GetNPoints(); j++) { + const mfem::IntegrationPoint &ip = ir.IntPoint(j); + T->SetIntPoint(&ip); + + const double rho_hat = rho_ref.GetValue(i, ip); + + mfem::Vector x_phys; + fem.mapping->GetPhysicalPoint(*T, ip, x_phys); + + const double r_cyl_sq = x_phys(0) * x_phys(0) + x_phys(1) * x_phys(1); + const double detJ = std::fabs(fem.mapping->ComputeDetJ(*T, ip)); + const double weight = T->Weight() * ip.weight * detJ; + + local_I += rho_hat * r_cyl_sq * weight; + } + } + + double global_I = 0.0; + MPI_Allreduce(&local_I, &global_I, 1, MPI_DOUBLE, MPI_SUM, fem.H1_fes->GetComm()); + + return global_I; + } +} \ No newline at end of file diff --git a/libmeanfield/impl/utils/domain.cpp b/libmeanfield/impl/utils/domain.cpp new file mode 100644 index 0000000..1c75009 --- /dev/null +++ b/libmeanfield/impl/utils/domain.cpp @@ -0,0 +1,188 @@ +module; +#include + +module mean_field; + +namespace mean_field::utils { + + bool GetReferencePoint( + const fem::FEM &fem, + const mfem::Vector &x_phys_target, + mfem::Vector &x_ref + ) { + const int dim = fem.mesh->Dimension(); + x_ref = x_phys_target; + + mfem::Array init_elem; + mfem::Array init_ip; + mfem::DenseMatrix init_P(dim, 1); + init_P.SetCol(0, x_ref); + fem.mesh->FindPoints(init_P, init_elem, init_ip, false); + + if (init_elem.Size() == 0 || init_elem[0] < 0) { + mfem::Vector origin(dim); + origin = 0.0; + + mfem::DenseMatrix P_origin(dim, 1); + P_origin.SetCol(0, origin); + mfem::Array origin_elem; + mfem::Array origin_ip; + fem.mesh->FindPoints(P_origin, origin_elem, origin_ip, false); + + if (origin_elem.Size() > 0 && origin_elem[0] >= 0 && !fem.mapping->IsIdentity()) { + mfem::ElementTransformation *T0 = fem.mesh->GetElementTransformation(origin_elem[0]); + T0->SetIntPoint(&origin_ip[0]); + + mfem::DenseMatrix J0(dim, dim), J0_inv(dim, dim); + fem.mapping->ComputeJacobian(*T0, J0); + mfem::CalcInverse(J0, J0_inv); + + J0_inv.Mult(x_phys_target, x_ref); + } + + init_P.SetCol(0, x_ref); + fem.mesh->FindPoints(init_P, init_elem, init_ip, false); + + if (init_elem.Size() == 0 || init_elem[0] < 0) { + double norm = x_ref.Norml2(); + if (norm > 1e-15) { + double scale = 0.9 * RADIUS / norm; + if (scale < 1.0) { + x_ref *= scale; + } + } + + init_P.SetCol(0, x_ref); + fem.mesh->FindPoints(init_P, init_elem, init_ip, false); + + if (init_elem.Size() == 0 || init_elem[0] < 0) { + x_ref = 0.0; + } + } + } + + constexpr int max_iter = 50; + + mfem::Array elem_ids; + mfem::Array ips; + mfem::DenseMatrix P(dim, 1); + mfem::Vector d(dim); + mfem::Vector residual(dim); + mfem::Vector step(dim); + + mfem::DenseMatrix J_map(dim, dim); + mfem::DenseMatrix J_map_inv(dim, dim); + + int find_failures = 0; + + for (int iter = 0; iter < max_iter; ++iter) { + P.SetCol(0, x_ref); + fem.mesh->FindPoints(P, elem_ids, ips, false); + + if (elem_ids.Size() == 0 || elem_ids[0] < 0) { + find_failures++; + if (find_failures > 10) return false; + + double norm = x_ref.Norml2(); + if (norm > 1e-15) { + x_ref *= 0.5 * RADIUS / norm; + } else { + x_ref = 0.0; + } + continue; + } + + int elemID = elem_ids[0]; + const mfem::IntegrationPoint &ip = ips[0]; + + mfem::ElementTransformation *T = fem.mesh->GetElementTransformation(elemID); + T->SetIntPoint(&ip); + + mfem::Vector current_x_phys(dim); + fem.mapping->GetPhysicalPoint(*T, ip, current_x_phys); + + for (int i = 0; i < dim; ++i) { + residual(i) = current_x_phys(i) - x_phys_target(i); + } + + if (constexpr double tol = 1e-12; residual.Norml2() < tol) { + return true; + } + + fem.mapping->ComputeJacobian(*T, J_map); + mfem::CalcInverse(J_map, J_map_inv); + J_map_inv.Mult(residual, step); + + double alpha = 1.0; + mfem::Vector x_ref_candidate(dim); + bool found_valid = false; + + for (int ls = 0; ls < 8; ++ls) { + x_ref_candidate = x_ref; + x_ref_candidate.Add(-alpha, step); + + P.SetCol(0, x_ref_candidate); + fem.mesh->FindPoints(P, elem_ids, ips, false); + + if (elem_ids.Size() > 0 && elem_ids[0] >= 0) { + found_valid = true; + break; + } + alpha *= 0.5; + } + + if (found_valid) { + x_ref = x_ref_candidate; + } else { + find_failures++; + if (find_failures > 10) return false; + if (double norm = x_ref.Norml2(); norm > 1e-15) { + x_ref *= 0.5 * RADIUS / norm; + } else { + x_ref = 0.0; + } + } + } + + return false; + } + + double EvalGridFunctionAtPoint( + const fem::FEM &fem, + const mfem::ParGridFunction &u, + const mfem::Vector &x, + const mapping::COORDINATE_SPACE vspace, + const mapping::COORDINATE_SPACE rspace + ) { + mfem::Vector x_search; + if (vspace == mapping::COORDINATE_SPACE::PHYSICAL && fem.has_mapping()) { + GetReferencePoint(fem, x, x_search); + } else { + x_search = x; + } + + mfem::Array elem_ids; + mfem::Array ips; + mfem::DenseMatrix P(x_search.Size(), 1); + P.SetCol(0, x_search); + + fem.mesh->FindPoints(P, elem_ids, ips, false); + + double local_val = 0.0; + if (elem_ids.Size() > 0 && elem_ids[0] >= 0) { + const double val = u.GetValue(elem_ids[0], ips[0]); + if (rspace == mapping::COORDINATE_SPACE::PHYSICAL && !fem.has_mapping()) { + MFEM_ABORT("Physical evaluation mode requested but no mapping provided. Check domain bounds and mapping setup."); + } + local_val = val; + } + + double global_val = 0.0; + MPI_Allreduce(&local_val, &global_val, 1, MPI_DOUBLE, MPI_MAX, fem.H1_fes->GetComm()); + return global_val; + } + + + + +} \ No newline at end of file diff --git a/libmeanfield/impl/utils/misc.cpp b/libmeanfield/impl/utils/misc.cpp new file mode 100644 index 0000000..d0986d8 --- /dev/null +++ b/libmeanfield/impl/utils/misc.cpp @@ -0,0 +1,124 @@ +module; +#include +#include + +module mean_field; +import :boundary.contexts; + +namespace mean_field::utils { + DOMAINS operator|( + DOMAINS lhs, + DOMAINS rhs + ) { + return static_cast(static_cast(lhs) | static_cast(rhs)); + } + + DOMAINS operator&( + DOMAINS lhs, + DOMAINS rhs + ) { + return static_cast(static_cast(lhs) & static_cast(rhs)); + } + + void populate_element_mask( + const mfem::Mesh* mesh, + const DOMAINS domain, + mfem::Array &mask + ) { + const int max_attr = mesh->attributes.Max(); + mask.SetSize(max_attr); + mask = 0; + + if ((domain & DOMAINS::CORE) == DOMAINS::CORE && max_attr >= 1) { + mask[0] = 1; + } + + if ((domain & DOMAINS::ENVELOPE) == DOMAINS::ENVELOPE && max_attr >= 2) { + mask[1] = 1; + } + + if ((domain & DOMAINS::VACUUM) == DOMAINS::VACUUM && max_attr >= 3) { + mask[2] = 1; + } + } + + void populate_domain_tdofs( + const mfem::ParFiniteElementSpace *fes, + const mfem::Array &element_mask, + mfem::Array &ess_tdof + ) { + mfem::Array vdof_marker(fes->GetVSize()); + vdof_marker = 0; + + for (int i = 0; i < fes->GetMesh()->GetNE(); i++) { + const int attr = fes->GetMesh()->GetAttribute(i); + + if (element_mask[attr - 1]) { + mfem::Array dofs; + fes->GetElementVDofs(i, dofs); + + for (int j = 0; j < dofs.Size(); j++) { + int index = dofs[j]; + if (index < 0) index = -1 - index; + vdof_marker[index] = 1; + } + } + } + + fes->MarkerToList(vdof_marker, ess_tdof); + } + + + std::expected discover_bounds( + const mfem::Mesh *mesh, + const int vacuum_attr + ) { + double local_min_r = std::numeric_limits::max(); + double local_max_r = -std::numeric_limits::max(); + bool found_vacuum = false; + + for (int i = 0; i < mesh->GetNE(); ++i) { + if (mesh->GetAttribute(i) == vacuum_attr) { + found_vacuum = true; + mfem::Array vertices; + mesh->GetElementVertices(i, vertices); + for (const int v: vertices) { + const double *coords = mesh->GetVertex(v); + double r = std::sqrt(coords[0] * coords[0] + coords[1] * coords[1] + coords[2] * coords[2]); + local_min_r = std::min(local_min_r, r); + local_max_r = std::max(local_max_r, r); + } + } + } + + double global_min_r, global_max_r; + int global_found_vacuum; + int l_found = found_vacuum ? 1 : 0; + + MPI_Comm comm = MPI_COMM_WORLD; + if (const auto *pmesh = dynamic_cast(mesh)) { + comm = pmesh->GetComm(); + } + + MPI_Allreduce(&local_min_r, &global_min_r, 1, MPI_DOUBLE, MPI_MIN, comm); + MPI_Allreduce(&local_max_r, &global_max_r, 1, MPI_DOUBLE, MPI_MAX, comm); + MPI_Allreduce(&l_found, &global_found_vacuum, 1, MPI_INT, MPI_MAX, comm); + + if (global_found_vacuum) { + return boundary::Bounds(global_min_r, global_max_r); + } + return std::unexpected(boundary::BoundsError::CANNOT_FIND_VACUUM); + } + + int get_mesh_order( + const mfem::Mesh &mesh + ) { + if (mesh.GetNodes() != nullptr) { + return mesh.GetNodes()->FESpace()->GetMaxElementOrder(); + } + return 1; + } + + + +} \ No newline at end of file diff --git a/libmeanfield/include/mean_field.h b/libmeanfield/include/mean_field.h new file mode 100644 index 0000000..90a4b46 --- /dev/null +++ b/libmeanfield/include/mean_field.h @@ -0,0 +1,4 @@ +#pragma once + +#include +#include \ No newline at end of file diff --git a/libmeanfield/include/xad_promote_polyfill.h b/libmeanfield/include/xad_promote_polyfill.h new file mode 100644 index 0000000..189e3c1 --- /dev/null +++ b/libmeanfield/include/xad_promote_polyfill.h @@ -0,0 +1,11 @@ +#pragma once +#include + +#if defined(_LIBCPP_VERSION) +namespace std { + template + struct __promote { + using type = double; + }; +} +#endif \ No newline at end of file diff --git a/libmeanfield/interface/analysis/integral.cppm b/libmeanfield/interface/analysis/integral.cppm new file mode 100644 index 0000000..4006c53 --- /dev/null +++ b/libmeanfield/interface/analysis/integral.cppm @@ -0,0 +1,41 @@ +module; +#include "mean_field.h" + +export module mean_field:analysis.integral; +export import :fem; +export import :utils.domain; +export import :mapping.domain_mapper; +export import :mapping.types; + +export namespace mean_field::analysis { + double domain_integrate_grid_function( + const fem::FEM &fem, + const mfem::GridFunction &gf, + utils::DOMAINS domain = utils::DOMAINS::ALL, + mapping::COORDINATE_SPACE coord_space = mapping::COORDINATE_SPACE::PHYSICAL + ); + + mfem::Vector get_com( + const fem::FEM &fem, + const mfem::GridFunction &rho + ); + + void conserve_mass( + const fem::FEM &fem, + mfem::GridFunction &rho, + double target_mass + ); + + double get_moment_of_inertia( + const fem::FEM &fem, + const mfem::GridFunction &rho + ); + + double get_mesh_volume( + const fem::FEM& fem, + mapping::COORDINATE_SPACE coordinate_space = mapping::COORDINATE_SPACE::PHYSICAL, + utils::DOMAINS domain = utils::DOMAINS::STELLAR + ); +} + + diff --git a/libmeanfield/interface/boundary/context.cppm b/libmeanfield/interface/boundary/context.cppm new file mode 100644 index 0000000..d2db63f --- /dev/null +++ b/libmeanfield/interface/boundary/context.cppm @@ -0,0 +1,34 @@ +module; +#include "mean_field.h" + +export module mean_field:boundary.contexts; + +export namespace mean_field::boundary { + struct BoundaryContext { + mfem::Array inf_bounds; + mfem::Array stellar_bounds; + }; + + enum class Boundaries : uint8_t { + STELLAR_SURFACE = 1, + INF_SURFACE = 2 + }; + + int operator-( + Boundaries b, + const int a + ) { + return static_cast(static_cast(b) - static_cast(a)); + } + + struct Bounds { + double r_star_ref; + double r_inf_ref; + }; + + enum BoundsError : uint8_t { + CANNOT_FIND_VACUUM + }; + + +} diff --git a/libmeanfield/interface/fem.cppm b/libmeanfield/interface/fem.cppm new file mode 100644 index 0000000..9993037 --- /dev/null +++ b/libmeanfield/interface/fem.cppm @@ -0,0 +1,95 @@ +module; + +#include +#include +#include + +export module mean_field:fem; +export import :physics.contexts; +export import :boundary.contexts; +export import :mapping.domain_mapper; +export import :utils.misc; +export import :utils.user; +export import :quadrature.mfem; + +export namespace mean_field::fem { + struct FEM { + + stroid::StroidMesh smesh; + std::unique_ptr mesh; + + // ===================================== + // 2. Finite Element Collections + // ===================================== + // H1 (Continuous): For Gravitational Potential (Phi) and Velocity (v) + std::unique_ptr H1_fec; + + // L2 (Discontinuous): For Density (rho) to fix O-grid boundary scalloping + std::unique_ptr L2_fec; + + // H(div)/RT space for gravitational field + std::unique_ptr RT_fec; + + + // ===================================== + // 3. Finite Element Spaces + // ===================================== + std::unique_ptr H1_fes; // Scalar continuous (Gravity) + std::unique_ptr Vec_H1_fes; // Vector continuous (Velocity field) + std::unique_ptr L2_fes; // Scalar discontinuous (Density) + std::unique_ptr RT_fes; // H(div)/RT space for gravitational field + + // Preconditioning for Gravity + std::unique_ptr H1_lor_disc; + const mfem::ParFiniteElementSpace *H1_lor_fes{nullptr}; + + // ===================================== + // 4. Domain Mapping + // ===================================== + std::unique_ptr mapping; + + // ===================================== + // 5. Global System Tracking + // ===================================== + // [ Velocity | Density | Mapping Parameters (Surface) ] + mfem::Array block_true_offsets; + + mfem::Array gravity_block_true_offsets; + + // Essential Boundary Conditions for the fluid (e.g., surface stress-free) + mfem::Array ess_v_tdofs; + + // Elements entirely in the vacuum domain where fluid equations are not solved + mfem::Array vacuum_tdof_rho; + mfem::Array vacuum_tdof_v; + + // ===================================== + // 6. Multiphysics State & Integration + // ===================================== + mfem::Vector com; + mfem::DenseMatrix Q; + + int int_order{3}; + std::unique_ptr int_rule; + + physics::GravityContext gravity_context; + boundary::BoundaryContext boundary_context; + + std::unique_ptr quadrature_factory; + + // ===================================== + // 7. Utilities + // ===================================== + [[nodiscard]] bool okay() const { + return (mesh != nullptr) && + (H1_fec != nullptr) && (L2_fec != nullptr) && (RT_fec != nullptr) && + (H1_fes != nullptr) && (Vec_H1_fes != nullptr) && (L2_fes != nullptr) && (RT_fes != nullptr); + } + + [[nodiscard]] bool has_mapping() const { return mapping != nullptr; } + }; + + + FEM setup_fem(const std::string &filename, const utils::Args &args, int extra_refine = 0); +} + diff --git a/libmeanfield/interface/integrators/advection.cppm b/libmeanfield/interface/integrators/advection.cppm new file mode 100644 index 0000000..bfed3cb --- /dev/null +++ b/libmeanfield/interface/integrators/advection.cppm @@ -0,0 +1,28 @@ +module; +#include +export module mean_field:integrators.advection; +import :mapping.domain_mapper; + +export namespace mean_field::integrators { + class AdvectionIntegrator : public mfem::BlockNonlinearFormIntegrator { + public: + explicit AdvectionIntegrator(const mapping::DomainMapper &map); + + void AssembleElementVector( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) override; + + void AssembleElementGrad( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) override; + + private: + const mapping::DomainMapper &m_map; + }; +} \ No newline at end of file diff --git a/libmeanfield/interface/integrators/centrifugal.cppm b/libmeanfield/interface/integrators/centrifugal.cppm new file mode 100644 index 0000000..ae2d4d7 --- /dev/null +++ b/libmeanfield/interface/integrators/centrifugal.cppm @@ -0,0 +1,32 @@ +module; +#include +export module mean_field:integrators.centrifugal; +import :mapping.domain_mapper; + +export namespace mean_field::integrators { + class CentrifugalForceIntegrator : public mfem::BlockNonlinearFormIntegrator { + public: + CentrifugalForceIntegrator(const mapping::DomainMapper& map, const mfem::Vector& omega); + + void SetOmega(const mfem::Vector& omega); + + void AssembleElementVector( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) override; + + void AssembleElementGrad( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) override; + + private: + const mapping::DomainMapper& m_map; + mfem::Vector m_omega; + }; + +} \ No newline at end of file diff --git a/libmeanfield/interface/integrators/coriolis.cppm b/libmeanfield/interface/integrators/coriolis.cppm new file mode 100644 index 0000000..7c22a84 --- /dev/null +++ b/libmeanfield/interface/integrators/coriolis.cppm @@ -0,0 +1,28 @@ +module; +#include +export module mean_field:integrators.coriolis; +import :mapping.domain_mapper; + + +export namespace mean_field::integrators { + class CoriolisIntegrator : public mfem::BlockNonlinearFormIntegrator { + public: + CoriolisIntegrator(const mapping::DomainMapper& map, const mfem::Vector& omega); + + void AssembleElementVector(const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec) override; + + void AssembleElementGrad(const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats) override; + + private: + const mapping::DomainMapper& m_map; + mfem::Vector m_omega; + mfem::DenseMatrix m_omega_mat; + }; + +} \ No newline at end of file diff --git a/libmeanfield/interface/integrators/gravity.cppm b/libmeanfield/interface/integrators/gravity.cppm new file mode 100644 index 0000000..e4236fb --- /dev/null +++ b/libmeanfield/interface/integrators/gravity.cppm @@ -0,0 +1,32 @@ +module; +#include +export module mean_field:integrators.gravity; +import :mapping.domain_mapper; + +export namespace mean_field::integrators { + class GravityForceIntegrator : public mfem::BlockNonlinearFormIntegrator { + public: + GravityForceIntegrator(const mapping::DomainMapper& map, const mfem::GridFunction& phi); + + void SetPotential(const mfem::GridFunction& phi); + + void AssembleElementVector( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) override; + + void AssembleElementGrad( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) override; + + + private: + const mapping::DomainMapper& m_map; + const mfem::GridFunction* m_phi; + }; +} diff --git a/libmeanfield/interface/integrators/mass_continuity.cppm b/libmeanfield/interface/integrators/mass_continuity.cppm new file mode 100644 index 0000000..fc6d28e --- /dev/null +++ b/libmeanfield/interface/integrators/mass_continuity.cppm @@ -0,0 +1,62 @@ +module; +#include +export module mean_field:integrators.mass_continuity; +import :mapping.domain_mapper; + +export namespace mean_field::integrators { + class ContinuityVolumeIntegrator : public mfem::BlockNonlinearFormIntegrator { + public: + explicit ContinuityVolumeIntegrator(const mapping::DomainMapper& map); + + void AssembleElementVector( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) override; + + void AssembleElementGrad( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) override; + private: + const mapping::DomainMapper& m_map; + }; + + class ContinuityFaceIntegrator : public mfem::BlockNonlinearFormIntegrator { + public: + explicit ContinuityFaceIntegrator(const mapping::DomainMapper& map); + + void AssembleFaceVector( + const mfem::Array &el1, + const mfem::Array &el2, + mfem::FaceElementTransformations &Tr, + const mfem::Array &elfun, + const mfem::Array &elvect + ) override; + + void AssembleFaceGrad( + const mfem::Array &el1, + const mfem::Array &el2, + mfem::FaceElementTransformations &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) override; + private: + static bool skip_face(const mfem::FaceElementTransformations& Tr); + + static double compute_u_n( + const mfem::Vector& v_dofs, + const mfem::Vector& shape_v_minus, + const mfem::Vector& n_unit, + int dof_v_minus, + int dim + ); + + private: + const mapping::DomainMapper& m_map; + }; + +} diff --git a/libmeanfield/interface/integrators/pressure_gradient.cppm b/libmeanfield/interface/integrators/pressure_gradient.cppm new file mode 100644 index 0000000..7ab4dc9 --- /dev/null +++ b/libmeanfield/interface/integrators/pressure_gradient.cppm @@ -0,0 +1,168 @@ +module; +#include +#include "xad_promote_polyfill.h" +#include +export module mean_field:integrators.pressure_gradient; +import :mapping.domain_mapper; +import :utils.misc; + +export namespace mean_field::integrators { + template + class PressureGradientIntegrator : public mfem::BlockNonlinearFormIntegrator { + public: + PressureGradientIntegrator(const mapping::DomainMapper& map, utils::EOS_P eos); + + + void AssembleElementVector(const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec) override; + void AssembleElementGrad(const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats) override; + private: + const mapping::DomainMapper& m_map; + utils::EOS_P m_eos; + }; + + template + PressureGradientIntegrator::PressureGradientIntegrator( + const mapping::DomainMapper& map, + utils::EOS_P eos + ) : m_map(map), m_eos(std::move(eos)) {} + + template + void PressureGradientIntegrator::AssembleElementVector( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) { + if (utils::is_vacuum(Tr, elvec)) { + return; + } + + const mfem::FiniteElement* fe_v = el[0]; + const mfem::FiniteElement* fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const mfem::Vector& rho_dofs = *elfun[1]; + + mfem::Vector& r_v = *elvec[0]; + r_v.SetSize(dof_v * dim); + r_v = 0.0; + if (elvec[1]) { + elvec[1]->SetSize(dof_rho); + *elvec[1] = 0.0; + } + + mfem::DenseMatrix dshape_v_ref(dof_v, dim), dshape_v_phys(dof_v, dim); + mfem::Vector shape_rho(dof_rho); + + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder()); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcDShape(ip, dshape_v_ref); + mfem::Mult(dshape_v_ref, J_inv, dshape_v_phys); + fe_rho->CalcShape(ip, shape_rho); + + double rho_val = 0.0; + for (int i = 0; i < dof_rho; ++i) rho_val += rho_dofs(i) * shape_rho(i); + + // Guard against negative density from Newton solver overshoots + if (rho_val < 1e-15) rho_val = 1e-15; + + // Evaluate the exact Equation of State Pressure + EOS_T x_rho = rho_val; + double P_val = m_eos(x_rho, EOS_T(0.0)).value(); + + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + r_v(i + c * dof_v) -= dshape_v_phys(i, c) * P_val * weight; + } + } + } + } + + template + void PressureGradientIntegrator::AssembleElementGrad( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) { + const mfem::FiniteElement* fe_v = el[0]; + const mfem::FiniteElement* fe_rho = el[1]; + + const int dof_v = fe_v->GetDof(); + const int dof_rho = fe_rho->GetDof(); + const int dim = Tr.GetSpaceDim(); + + const mfem::Vector& rho_dofs = *elfun[1]; + + mfem::DenseMatrix* dv_dv = elmats(0, 0); + mfem::DenseMatrix* dv_drho = elmats(0, 1); + + if (dv_dv) *dv_dv = 0.0; + if (dv_drho) *dv_drho = 0.0; + if (!dv_drho) return; + + mfem::DenseMatrix dshape_v_ref(dof_v, dim), dshape_v_phys(dof_v, dim); + mfem::Vector shape_rho(dof_rho); + + const mfem::IntegrationRule* ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder()); + + for (int q = 0; q < ir->GetNPoints(); ++q) { + using Scalar = EOS_T::value_type; + xad::Tape tape; + const mfem::IntegrationPoint& ip = ir->IntPoint(q); + Tr.SetIntPoint(&ip); + + auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip); + + fe_v->CalcDShape(ip, dshape_v_ref); + mfem::Mult(dshape_v_ref, J_inv, dshape_v_phys); + fe_rho->CalcShape(ip, shape_rho); + + EOS_T x_rho(0.0); + tape.registerInput(x_rho); + tape.newRecording(); + + for (int i = 0; i < dof_rho; ++i) { + x_rho += rho_dofs(i) * shape_rho(i); + } + if (x_rho < 1e-15) x_rho = EOS_T(1e-15); + EOS_T x_P = m_eos(x_rho, EOS_T(0.0)); + tape.registerOutput(x_P); + x_P.setAdjoint(1.0); + tape.computeAdjoints(); + double dP_drho = x_rho.getAdjoint(); + + double debug_K = 1.5; + double debug_n = 3.0; + double analytic_dp = debug_K * (1.0 + 1.0 / debug_n) * std::pow(xad::value(x_rho), 1.0 / debug_n); + + double ad_err = std::abs(dP_drho - analytic_dp); + + for (int i = 0; i < dof_v; ++i) { + for (int c = 0; c < dim; ++c) { + int row = i + c * dof_v; + for (int j = 0; j < dof_rho; ++j) { + int col = j; + double term = dshape_v_phys(i, c) * dP_drho * shape_rho(j); + (*dv_drho)(row, col) -= term * weight; + } + } + } + } + } +} diff --git a/libmeanfield/interface/integrators/viscosity.cppm b/libmeanfield/interface/integrators/viscosity.cppm new file mode 100644 index 0000000..99ebb49 --- /dev/null +++ b/libmeanfield/interface/integrators/viscosity.cppm @@ -0,0 +1,32 @@ +module; +#include +export module mean_field:integrators.viscosity; +import :mapping.domain_mapper; + +export namespace mean_field::integrators { + class ViscosityIntegrator : public mfem::BlockNonlinearFormIntegrator { + public: + ViscosityIntegrator(const mapping::DomainMapper& map, double mu, int quad_boost); + + void SetMu(const double mu); + + void AssembleElementVector( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array &elvec + ) override; + + void AssembleElementGrad( + const mfem::Array &el, + mfem::ElementTransformation &Tr, + const mfem::Array &elfun, + const mfem::Array2D &elmats + ) override; + private: + const mapping::DomainMapper& m_map; + double m_mu; + int m_quad_boost; + }; + +} diff --git a/libmeanfield/interface/mapping/coefficients.cppm b/libmeanfield/interface/mapping/coefficients.cppm new file mode 100644 index 0000000..b1fc6fc --- /dev/null +++ b/libmeanfield/interface/mapping/coefficients.cppm @@ -0,0 +1,95 @@ +module; +#include "mean_field.h" + +export module mean_field:mapping.coefficients; +export import :mapping.domain_mapper; +export import :mapping.types; + +export namespace mean_field::mapping { + class MappedScalarCoefficient : public mfem::Coefficient { + public: + MappedScalarCoefficient( + const DomainMapper &map, + mfem::Coefficient &coeff, + COORDINATE_SPACE coord_space = COORDINATE_SPACE::PHYSICAL + ); + + double Eval( + mfem::ElementTransformation &T, + const mfem::IntegrationPoint &ip + ) override; + + private: + static double eval_at_point( + mfem::Coefficient &c, + mfem::ElementTransformation &T, + const mfem::IntegrationPoint &ip + ); + + private: + const DomainMapper &m_map; + mfem::Coefficient &m_coeff; + COORDINATE_SPACE m_coord_space; + }; + + class MappedDiffusionCoefficient : public mfem::MatrixCoefficient { + public: + MappedDiffusionCoefficient( + const DomainMapper &map, + mfem::Coefficient &sigma, + int dim + ); + + MappedDiffusionCoefficient( + const DomainMapper &map, + mfem::MatrixCoefficient &sigma + ); + + void Eval(mfem::DenseMatrix &K, mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) override; + + private: + const DomainMapper &m_map; + mfem::Coefficient *m_scalar; + mfem::MatrixCoefficient *m_tensor; + }; + + class MappedVectorCoefficient : public mfem::VectorCoefficient { + public: + MappedVectorCoefficient( + const DomainMapper &map, + mfem::VectorCoefficient &coeff + ); + + void Eval(mfem::Vector &V, mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) override; + + private: + const DomainMapper &m_map; + mfem::VectorCoefficient &m_coeff; + }; + + class PhysicalPositionFunctionCoefficient : public mfem::Coefficient { + public: + using Func = std::function; + + PhysicalPositionFunctionCoefficient( + const DomainMapper &map, + Func f + ); + + double Eval(mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) override; + + private: + Func m_f; + const DomainMapper &m_map; + }; + + class MappedHDivMassCoefficient final : public mfem::MatrixCoefficient { + public: + MappedHDivMassCoefficient(const DomainMapper& map, const int dim); + + void Eval(mfem::DenseMatrix& matrix, mfem::ElementTransformation& transformation, const mfem::IntegrationPoint& integration_point) override; + private: + const DomainMapper& m_map; + + }; +} diff --git a/libmeanfield/interface/mapping/domain_mapper.cppm b/libmeanfield/interface/mapping/domain_mapper.cppm new file mode 100644 index 0000000..a015773 --- /dev/null +++ b/libmeanfield/interface/mapping/domain_mapper.cppm @@ -0,0 +1,103 @@ +module; + +#include "mean_field.h" + +export module mean_field:mapping.domain_mapper; + +export namespace mean_field::mapping { + class DomainMapper { + public: + struct VolumeQuadratureContext { + mfem::DenseMatrix J_inv; + double detJ; + double weight; + }; + + struct FaceQuadratureContext { + mfem::Vector normal; + double ds; + double v_dot_n_scale; + }; + + public: + explicit DomainMapper(const double r_star_ref, const double r_inf_ref); + + explicit DomainMapper(const mfem::GridFunction &d, const double r_star_ref, const double r_inf_ref); + + [[nodiscard]] bool is_vacuum(const mfem::ElementTransformation &T) const; + + void SetDisplacement(const mfem::GridFunction &d); + + [[nodiscard]] bool IsIdentity() const; + + void ResetDisplacement(); + + void ComputeJacobian(mfem::ElementTransformation &T, mfem::DenseMatrix &J) const; + + double ComputeDetJ(mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) const; + + void ComputeMappedDiffusionTensor(mfem::ElementTransformation &T, mfem::DenseMatrix &D) const; + + void ComputeInverseJacobian(mfem::ElementTransformation &T, mfem::DenseMatrix &JInv) const; + + VolumeQuadratureContext GetQuadratureContext(mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) const; + + FaceQuadratureContext GetFaceQuadratureContext(mfem::FaceElementTransformations &T, const mfem::IntegrationPoint &ip) const; + + void GetPhysicalPoint(mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip, mfem::Vector &x_phys) const; + + void GetVectorValue(const int i, const mfem::IntegrationPoint &ip, mfem::Vector &val) const; + + [[nodiscard]] const mfem::GridFunction *GetDisplacement() const; + + [[nodiscard]] double GetPhysInfRadius() const; + + [[nodiscard]] size_t GetCacheHits() const; + + [[nodiscard]] size_t GetCacheMisses() const; + + [[nodiscard]] double GetCacheHitRate() const; + + void ResetCacheStats() const; + + private: + void InitAllScratchSpaces() const; + + void ApplyKelvinMapping(const mfem::Vector &x_ref, mfem::Vector &x_phys) const; + + void ComputeKelvinJacobian(const mfem::Vector &x_ref, const mfem::Vector &x_disp, const mfem::DenseMatrix &J_D, mfem::DenseMatrix &J) const; + + void InvalidateCache() const; + + void UpdateElementCache(const mfem::ElementTransformation &T) const; + + private: + const mfem::GridFunction *m_d; + std::unique_ptr m_internal_d; + const int m_dim{3}; + const int m_vacuum_attr{3}; + const double m_r_star_ref{1.0}; + const double m_r_inf_ref{2.0}; + const double m_xi_clamp{0.9999}; + + mutable int m_cached_elem_id{-1}; + mutable int m_cached_elem_type{mfem::ElementTransformation::ELEMENT}; + mutable const mfem::FiniteElement *m_fe{nullptr}; + + mutable mfem::Vector m_elem_dofs; + mutable mfem::DenseMatrix m_dof_mat; + mutable mfem::DenseMatrix m_dshape; + mutable mfem::Vector m_shape; + + mutable size_t m_cache_hits{0}; + mutable size_t m_cache_misses{0}; + + mutable mfem::DenseMatrix m_J_D; + mutable mfem::DenseMatrix m_J_temp; + mutable mfem::DenseMatrix m_JInv_temp; + mutable mfem::Vector m_x_ref; + mutable mfem::Vector m_x_disp; + mutable mfem::Vector m_d_val; + }; + +} diff --git a/libmeanfield/interface/mapping/types.cppm b/libmeanfield/interface/mapping/types.cppm new file mode 100644 index 0000000..0b27293 --- /dev/null +++ b/libmeanfield/interface/mapping/types.cppm @@ -0,0 +1,10 @@ +module; +#include +export module mean_field:mapping.types; + +namespace mean_field::mapping { + enum class COORDINATE_SPACE : uint8_t { + PHYSICAL, + REFERENCE + }; +} \ No newline at end of file diff --git a/libmeanfield/interface/mean_field.cppm b/libmeanfield/interface/mean_field.cppm new file mode 100644 index 0000000..7585566 --- /dev/null +++ b/libmeanfield/interface/mean_field.cppm @@ -0,0 +1,21 @@ +export module mean_field; + +export import :fem; +export import :utils.misc; +export import :utils.user; +export import :utils.domain; +export import :physics.gravity; +export import :physics.contexts; +export import :boundary.contexts; +export import :analysis.integral; +export import :mapping.domain_mapper; +export import :mapping.coefficients; +export import :integrators.advection; +export import :integrators.centrifugal; +export import :integrators.gravity; +export import :integrators.coriolis; +export import :integrators.mass_continuity; +export import :integrators.pressure_gradient; +export import :integrators.viscosity; +export import :quadrature.policy; +export import :quadrature.mfem; diff --git a/libmeanfield/interface/physics/context.cppm b/libmeanfield/interface/physics/context.cppm new file mode 100644 index 0000000..7ca3517 --- /dev/null +++ b/libmeanfield/interface/physics/context.cppm @@ -0,0 +1,28 @@ +module; +#include + +export module mean_field:physics.contexts; +export import :mapping.coefficients; + +export namespace mean_field::physics { + struct GravityContext { + std::unique_ptr m_form; + std::unique_ptr b_form; + + std::unique_ptr block_A; + + std::unique_ptr prec_M; + std::unique_ptr prec_Phi; + std::unique_ptr block_prec; + + std::unique_ptr minres; + + mfem::Array stellar_mask; + + std::unique_ptr BT; + std::unique_ptr Schur; + + std::unique_ptr mapped_hdiv_mass_coeff; + + }; +} diff --git a/libmeanfield/interface/physics/gravity.cppm b/libmeanfield/interface/physics/gravity.cppm new file mode 100644 index 0000000..a030615 --- /dev/null +++ b/libmeanfield/interface/physics/gravity.cppm @@ -0,0 +1,45 @@ +module; +#include + +export module mean_field:physics.gravity; + +export import :fem; + +export namespace mean_field::physics { + struct GravitySolution { + mfem::ParGridFunction gradPhi; + mfem::ParGridFunction phi; + + explicit GravitySolution(fem::FEM& fem): gradPhi(fem.RT_fes.get()), phi(fem.L2_fes.get()) {} + }; + + GravitySolution grav_potential( + fem::FEM &f, + const utils::Args &args, + const mfem::GridFunction &rho, + bool phi_warm = false + ); + + mfem::GridFunction get_potential( + fem::FEM &fem, + const utils::Args &args, + const mfem::GridFunction &rho, + bool warm = false + ); + + mfem::DenseMatrix compute_quadrupole_moment_tensor( + const fem::FEM &fem, + const mfem::GridFunction &rho, + const mfem::Vector &com + ); + + double l2_multipole_potential( + const fem::FEM &fem, + double total_mass, + const mfem::Vector &phys_x + ); + + void update_stiffness_matrix(fem::FEM &fem); +} + + diff --git a/libmeanfield/interface/physics/solid.cppm b/libmeanfield/interface/physics/solid.cppm new file mode 100644 index 0000000..369fcea --- /dev/null +++ b/libmeanfield/interface/physics/solid.cppm @@ -0,0 +1,9 @@ +module; +#include + +export module mean_field:physics.solid_body; +export import :fem; + +export namespace mean_field::physics { + double compute_moment_of_inertia(const fem::FEM &fem, const mfem::GridFunction &rho_ref); +} \ No newline at end of file diff --git a/libmeanfield/interface/quadrature/mfem.cppm b/libmeanfield/interface/quadrature/mfem.cppm new file mode 100644 index 0000000..28ce5f0 --- /dev/null +++ b/libmeanfield/interface/quadrature/mfem.cppm @@ -0,0 +1,198 @@ +module; +#include +#include + +export module mean_field:quadrature.mfem; +export import :quadrature.policy; + +export namespace mean_field::quadrature { + struct MfemRule { + Resolution resolution; + const mfem::IntegrationRule* integration_rule; + }; + + class RuleFactory { + public: + explicit RuleFactory( + Policy policy + ); + MfemRule get( + const Query& query, + mfem::Geometry::Type geometry + ) const; + MfemRule get( + Term term, + QuadratureRole role, + mfem::Geometry::Type geometry, + int base_order, + utils::DOMAINS domain = utils::DOMAINS::ALL, + MappingKind mapping = MappingKind::none + ) const; + + Resolution configure_gravity_hdiv_mass( + mfem::VectorFEMassIntegrator& integrator, + QuadratureRole role, + const mfem::FiniteElement& element, + const mfem::ElementTransformation& transformation, + utils::DOMAINS domain = utils::DOMAINS::ALL, + MappingKind mapping = MappingKind::none + ) const; + + Resolution configure_gravity_divergence( + mfem::VectorFEDivergenceIntegrator& integrator, + QuadratureRole role, + const mfem::FiniteElement& trial_element, + const mfem::FiniteElement& test_element, + const mfem::ElementTransformation& transformation, + utils::DOMAINS domain = utils::DOMAINS::ALL, + MappingKind mapping = MappingKind::none + ) const; + + Resolution configure_gravity_boundary( + mfem::VectorFEBoundaryFluxLFIntegrator& integrator, + QuadratureRole role, + const mfem::FiniteElement& boundary_element, + utils::DOMAINS domain = utils::DOMAINS::VACUUM, + MappingKind mapping = MappingKind::none + ) const; + + Resolution configure_gravity_source( + mfem::DomainLFIntegrator& integrator, + QuadratureRole role, + const mfem::FiniteElement& test_element, + const mfem::ElementTransformation& transformation, + int coefficient_order, + utils::DOMAINS domain = utils::DOMAINS::STELLAR, + MappingKind mapping = MappingKind::none + ) const; + + template + Resolution configure( + IntegratorType& integrator, + Term term, + QuadratureRole role, + mfem::Geometry::Type geometry, + int base_order, + utils::DOMAINS domain = utils::DOMAINS::ALL, + MappingKind mapping = MappingKind::none + ) const; + + + private: + Policy policy; + }; + + RuleFactory::RuleFactory(Policy policy) : policy(std::move(policy)) {} + + MfemRule RuleFactory::get( + const Query& query, + const mfem::Geometry::Type geometry + ) const { + const Resolution resolution = policy.resolve(query); + const mfem::IntegrationRule& integration_rule = mfem::IntRules.Get(geometry, resolution.order); + return {.resolution = resolution, .integration_rule = &integration_rule}; + } + + MfemRule RuleFactory::get( + const Term term, + const QuadratureRole role, + const mfem::Geometry::Type geometry, + const int base_order, + const utils::DOMAINS domain, + const MappingKind mapping + ) const { + Query query{.term = term}; + query.domain = domain; + query.mapping = mapping; + query.role = role; + query.base_order = base_order; + return get(query, geometry); + } + + Resolution RuleFactory::configure_gravity_hdiv_mass( + mfem::VectorFEMassIntegrator& integrator, + const QuadratureRole role, + const mfem::FiniteElement& element, + const mfem::ElementTransformation& transformation, + const utils::DOMAINS domain, + const MappingKind mapping + ) const { + const int base_order = 2 * element.GetOrder() + transformation.OrderW(); + return configure(integrator, Term::gravity_hdiv_mass, role, element.GetGeomType(), base_order, domain, mapping); + } + + Resolution RuleFactory::configure_gravity_divergence( + mfem::VectorFEDivergenceIntegrator& integrator, + const QuadratureRole role, + const mfem::FiniteElement& trial_element, + const mfem::FiniteElement& test_element, + const mfem::ElementTransformation& transformation, + const utils::DOMAINS domain, + const MappingKind mapping + ) const { + const Query query = { + .term = Term::gravity_divergence, + .role = role, + .domain = domain, + .mapping = mapping, + .trial_order = trial_element.GetOrder(), + .test_order = test_element.GetOrder(), + .geometry_weight_order = transformation.OrderW() + }; + + const auto [resolution, integration_rule] = get(query, trial_element.GetGeomType()); + integrator.SetIntegrationRule(*integration_rule); + return resolution; + } + + Resolution RuleFactory::configure_gravity_boundary( + mfem::VectorFEBoundaryFluxLFIntegrator& integrator, + const QuadratureRole role, + const mfem::FiniteElement& boundary_element, + const utils::DOMAINS domain, + const MappingKind mapping + ) const { + const int base_order = 2 * boundary_element.GetOrder(); + return configure(integrator, Term::gravity_boundary, role, boundary_element.GetGeomType(), base_order, domain, mapping); + } + + Resolution RuleFactory::configure_gravity_source( + mfem::DomainLFIntegrator& integrator, + const QuadratureRole role, + const mfem::FiniteElement& test_element, + const mfem::ElementTransformation& transformation, + const int coefficient_order, + const utils::DOMAINS domain, + const MappingKind mapping + ) const { + const Query query = { + .term = Term::gravity_source, + .role = role, + .domain = domain, + .mapping = mapping, + .test_order = test_element.GetOrder(), + .coefficient_order = coefficient_order, + .geometry_weight_order = transformation.OrderW() + }; + + const auto [resolution, integration_rule] = get(query, test_element.GetGeomType()); + integrator.SetIntegrationRule(*integration_rule); + return resolution; + } + + template + Resolution RuleFactory::configure( + IntegratorType& integrator, + const Term term, + const QuadratureRole role, + const mfem::Geometry::Type geometry, + const int base_order, + const utils::DOMAINS domain, + const MappingKind mapping + ) const { + const auto [resolution, integration_rule] = get(term, role, geometry, base_order, domain, mapping); + integrator.SetIntegrationRule(*integration_rule); + return resolution; + } + +} diff --git a/libmeanfield/interface/quadrature/policy.cppm b/libmeanfield/interface/quadrature/policy.cppm new file mode 100644 index 0000000..d0a1d12 --- /dev/null +++ b/libmeanfield/interface/quadrature/policy.cppm @@ -0,0 +1,256 @@ +module; +#include +#include +#include +#include + +export module mean_field:quadrature.policy; +export import :utils.misc; + +export namespace mean_field::quadrature { + enum class Term { + gravity_hdiv_mass, + gravity_divergence, + gravity_source, + gravity_boundary, + density_projection, + mass_conservation, + center_of_mass, + quadrupole, + gravitational_energy, + virial, + error_norm + }; + + enum class QuadratureRole { + discretization, + preconditioner, + diagnostic, + projection + }; + + enum class MappingKind { + none, + affine, + general, + kelvin + }; + + enum class Mode { + fast, + production, + reference, + convergence + }; + + struct RuleControl { + std::optional fixed_order; + int boost = 0; + }; + + struct RoleControls { + RuleControl discretization; + RuleControl preconditioner; + RuleControl diagnostic; + RuleControl projection; + }; + + + struct RuleSet { + RuleControl gravity_hdiv_mass; + RuleControl gravity_divergence; + RuleControl gravity_source; + RuleControl gravity_boundary; + RuleControl density_projection; + RuleControl mass_conservation; + RuleControl center_of_mass; + RuleControl quadrupole; + RuleControl gravitational_energy; + RuleControl virial; + RuleControl error_norm; + RoleControls roles; + RuleControl fallback; + }; + + struct Query { + Term term; + QuadratureRole role = QuadratureRole::discretization; + utils::DOMAINS domain = utils::DOMAINS::ALL; + MappingKind mapping = MappingKind::none; + int trial_order = 0; + int test_order = 0; + int coefficient_order = 0; + int geometry_weight_order = 0; + std::optional base_order; + }; + + struct Resolution { + int base_order; + int boost; + int order; + bool used_fixed_order; + }; + struct QuadratureTermOptions { + std::optional fixed_order; + int additional_boost = 0; + }; + + struct QuadratureManifestOptions { + bool enabled = false; + bool include_repeated_queries = false; + std::optional output_file; + }; + + struct QuadratureValidationOptions { + bool require_explicit_base_order = false; + bool require_explicit_mfem_rule = false; + bool reject_negative_boosts = true; + bool report_unused_overrides = true; + }; + + struct QuadratureRoleOptions { + QuadratureTermOptions discretization; + QuadratureTermOptions preconditioner; + QuadratureTermOptions diagnostic; + QuadratureTermOptions projection; + }; + + struct QuadratureOptions { + Mode mode = Mode::production; + int global_boost = 0; + std::optional fallback_fixed_order; + + QuadratureTermOptions gravity_hdiv_mass; + QuadratureTermOptions gravity_divergence; + QuadratureTermOptions gravity_source; + QuadratureTermOptions gravity_boundary; + QuadratureTermOptions density_projection; + QuadratureTermOptions mass_conservation; + QuadratureTermOptions center_of_mass; + QuadratureTermOptions quadrupole; + QuadratureTermOptions gravitational_energy; + QuadratureTermOptions virial; + QuadratureTermOptions error_norm; + + QuadratureRoleOptions roles; + + std::vector convergence_boosts = {0, 2, 4}; + QuadratureManifestOptions manifest; + QuadratureValidationOptions validation; + }; + + RuleSet make_rule_set(Mode mode, int global_boost = 0); + + class Policy { + public: + explicit Policy(RuleSet rule_set); + Resolution resolve(const Query& query) const; + + private: + const RuleControl& get_control(Term term) const; + static int compute_base_order(const Query& query) ; + const RuleControl& get_role_control(QuadratureRole role) const; + + RuleSet rule_set; + }; + + RuleSet make_rule_set(const Mode mode, const int global_boost) { + RuleSet rule_set; + + switch (mode) { + case Mode::fast: + case Mode::production: + case Mode::convergence: + rule_set.fallback.boost = global_boost; + break; + case Mode::reference: + rule_set.fallback.boost = global_boost + 8; + break; + } + + return rule_set; + } + + Policy::Policy(RuleSet rule_set) : rule_set(std::move(rule_set)) {} + + Resolution Policy::resolve(const Query& query) const { + const int base_order = compute_base_order(query); + const RuleControl& term_control = get_control(query.term); + const RuleControl& role_control = get_role_control(query.role); + std::optional fixed_order; + + if (term_control.fixed_order.has_value()) { + fixed_order = term_control.fixed_order; + } else if (role_control.fixed_order.has_value()) { + fixed_order = role_control.fixed_order; + } else { + fixed_order = rule_set.fallback.fixed_order; + } + + if (fixed_order.has_value()) { + if (*fixed_order < 0) { + throw std::invalid_argument("Quadrature fixed order cannot be negative."); + } + + return {.base_order = base_order, .boost = 0, .order = *fixed_order, .used_fixed_order = true}; + } + + const int boost = rule_set.fallback.boost + role_control.boost + term_control.boost; + const int order = base_order + boost; + + if (order < 0) { + throw std::invalid_argument("Resolved quadrature order cannot be negative."); + } + + return {.base_order = base_order, .boost = boost, .order = order, .used_fixed_order = false}; + } + const RuleControl& Policy::get_control(const Term term) const { + switch (term) { + case Term::gravity_hdiv_mass: return rule_set.gravity_hdiv_mass; + case Term::gravity_divergence: return rule_set.gravity_divergence; + case Term::gravity_source: return rule_set.gravity_source; + case Term::gravity_boundary: return rule_set.gravity_boundary; + case Term::density_projection: return rule_set.density_projection; + case Term::mass_conservation: return rule_set.mass_conservation; + case Term::center_of_mass: return rule_set.center_of_mass; + case Term::quadrupole: return rule_set.quadrupole; + case Term::gravitational_energy: return rule_set.gravitational_energy; + case Term::virial: return rule_set.virial; + case Term::error_norm: return rule_set.error_norm; + } + + throw std::logic_error("Unknown quadrature term."); + } + + int Policy::compute_base_order(const Query& query) { + if (query.base_order.has_value()) { + if (*query.base_order < 0) { + throw std::invalid_argument("Quadrature base order cannot be negative."); + } + return *query.base_order; + } + + if (query.trial_order < 0 || query.test_order < 0 || query.coefficient_order < 0 || query.geometry_weight_order < 0) { + throw std::invalid_argument("Quadrature query orders cannot be negative."); + } + + int trial_order = query.trial_order; + if (query.term == Term::gravity_divergence) { + trial_order = std::max(0, trial_order - 1); + } + + return trial_order + query.test_order + query.coefficient_order + query.geometry_weight_order; + } + + const RuleControl& Policy::get_role_control(const QuadratureRole role) const { + switch (role) { + case QuadratureRole::discretization: return rule_set.roles.discretization; + case QuadratureRole::preconditioner: return rule_set.roles.preconditioner; + case QuadratureRole::diagnostic: return rule_set.roles.diagnostic; + case QuadratureRole::projection: return rule_set.roles.projection; + } + + throw std::logic_error("Unknown quadrature role."); + } + +} diff --git a/libmeanfield/interface/utils/domain.cppm b/libmeanfield/interface/utils/domain.cppm new file mode 100644 index 0000000..ab286f9 --- /dev/null +++ b/libmeanfield/interface/utils/domain.cppm @@ -0,0 +1,24 @@ +module; +#include + +export module mean_field:utils.domain; +export import :fem; +export import :mapping.domain_mapper; +export import :boundary.contexts; + +export namespace mean_field::utils { + + bool get_reference_point( + const fem::FEM &fem, + const mfem::Vector &x_phys_target, + mfem::Vector &x_ref + ); + + double eval_grid_function_at_point( + const fem::FEM &fem, + const mfem::GridFunction &u, + const mfem::Vector &x, + mapping::COORDINATE_SPACE vspace = mapping::COORDINATE_SPACE::REFERENCE, + mapping::COORDINATE_SPACE rspace = mapping::COORDINATE_SPACE::PHYSICAL + ); +} \ No newline at end of file diff --git a/libmeanfield/interface/utils/misc.cppm b/libmeanfield/interface/utils/misc.cppm new file mode 100644 index 0000000..0d7f2b8 --- /dev/null +++ b/libmeanfield/interface/utils/misc.cppm @@ -0,0 +1,101 @@ +module; +#include +#include +#include + +#include + +#include "xad_promote_polyfill.h" +#include + +export module mean_field:utils.misc; +import :boundary.contexts; + +export namespace mean_field::utils { + constexpr double APPROX_MAX_ACCEPTABLE_POTENTIAL_ERROR_SI_BURNING = 1e-4; + + + bool is_vacuum(const mfem::ElementTransformation &Tr, mfem::Array elvec) { + if (Tr.Attribute == 3) { + const int size_elvec = elvec.Size(); + for (int i = 0; i < size_elvec; i++) { + if (elvec[i]) { + *elvec[i] = 0.0; + } + } + return true; + } + return false; + } + + constexpr std::string_view ANSI_GREEN = "\033[32m"; + constexpr std::string_view ANSI_RED = "\033[31m"; + constexpr std::string_view ANSI_YELLOW = "\033[33m"; + constexpr std::string_view ANSI_BLUE = "\033[34m"; + constexpr std::string_view ANSI_MAGENTA = "\033[35m"; + constexpr std::string_view ANSI_CYAN = "\033[36m"; + constexpr std::string_view ANSI_RESET = "\033[0m"; + constexpr std::string_view ANSI_BCYAN = "\033[1;36m"; + + + constexpr double G = 1.0; + constexpr double MASS = 1.0; + constexpr double RADIUS = 1.0; + + [[maybe_unused]] constexpr char HOST[10] = "localhost"; + [[maybe_unused]] constexpr int PORT = 19916; + + + template + concept is_xad = + std::is_same_v > + || std::is_same_v > + || std::is_same_v >; + + template + concept is_real = std::is_floating_point_v || is_xad; + + template + using EOS_P = std::function; + + enum class DOMAINS : uint8_t { + CORE = 1 << 0, + ENVELOPE = 1 << 1, + VACUUM = 1 << 2, + STELLAR = CORE | ENVELOPE, + ALL = CORE | ENVELOPE | VACUUM + }; + + + DOMAINS operator|( + DOMAINS lhs, + DOMAINS rhs + ); + + DOMAINS operator&( + DOMAINS lhs, + DOMAINS rhs + ); + + void populate_element_mask( + const mfem::Mesh* mesh, + DOMAINS domain, + mfem::Array &mask + ); + + void populate_domain_tdofs( + const mfem::ParFiniteElementSpace *fes, + const mfem::Array &element_mask, + mfem::Array &ess_tdof + ); + + std::expected discover_bounds( + const mfem::Mesh *mesh, + int vacuum_attr + ); + + int get_mesh_order( + const mfem::Mesh &mesh + ); + +} diff --git a/libmeanfield/interface/utils/user.cppm b/libmeanfield/interface/utils/user.cppm new file mode 100644 index 0000000..def4e4e --- /dev/null +++ b/libmeanfield/interface/utils/user.cppm @@ -0,0 +1,36 @@ +module; +#include +export module mean_field:utils.user; +export import :quadrature.policy; + +export namespace mean_field::utils { + struct potential { + double rtol; + double atol; + int max_iters; + }; + + struct rot { + bool enabled; + double omega; + double L; + }; + + struct Args { + std::string mesh_file; + potential p{}; + rot r{}; + bool verbose{}; + double index{}; + double mass{}; + double c{}; + + int quad_boost{0}; + + int max_iters{}; + double tol{}; + + quadrature::QuadratureOptions quadrature{}; + }; + +} \ No newline at end of file diff --git a/readme.md b/readme.md new file mode 100644 index 0000000..556215e --- /dev/null +++ b/readme.md @@ -0,0 +1,50 @@ +# mean_field C++ module +## Emily M. Boudreaux +### July 15, 2026 +### Dartmouth College + +> Funded by the European Research Council: No. 101071505: 4D-STAR + + +This is a simple module testing the numerical implementation of mean_field eqautions of stellar structure in 3D using +Finite Elements. + +This module is not intended for scientific use; rather, this will inform latter development of SERiF + +# Key Goals +- Validation of discritization, truncation, and projection errors in MFEM in the context of pulsation mode identification. More specifically, we aim to confirm that a solution to the mean field equations may be found on a reasonably sized and ordered mesh such that the uncertainties introduced into mode identification by our model are below the order of accuracy of the forthcoming PLATO instrument. +- Further, we aim to validate that, when solved with a polytropic equation of state, a model in this framework can virialize to within one part in 10^6 +- We aim to develope numerical instrumentation which will be incorporated into SERiF including, but not limited to, preconditioners, integrators, and operators +- We aim to develope utility infrastructure which will be incorporated into SERiF including, but not limited to, quadrature boost policies, domain mapping, and user experience tools. + +# Current Status [as of July 15, 2026] +- Integrators for all mean field equations have been written. In other code these have been validated as self-consistent and consistent with analytic solutions generated with symbolic algebra tools. These tests will be incorporated into this module +- Gravitational Potential calculations have been rigorously tested for a number of cases including uniform spherical densities, polynomial spherical densities, rational spherical densities, uniform ellipsoidal densities, and rational ellipsoidal densities. These potentials only apply the density profile and the potential at infinity boundary condition +- We have shown that we can reach sufficient self-consistency and accuracy with the gravitational field such that the gravitational field representation will not prevent us achiveing the required virial ratio or mode identification accuracy. + +# Building +Unlike the rest of the SERiF ecosystem this project is built with CMake (due to some experimentation with C++ modules, which are not well supported by meson). Note that +this project is developed for internal 4D-STAR testing and has not been developed with the intention of being portable. Numerous packages are required to be preinstalled +and no testing has been done to confirm if this works over a variety of targets. Broadly one must install + +- stroid +- CLI11 +- mfem (with MPI, Hypre, and UMFPack) +- libconfig +- cmake +- a recent version of clang or gcc which supports modules (note the default clang on mac will not work, you must use homebrew clang) +- ninja +- cmake + +once those are installed then the following commands will in theory build mean_field +```bash +mkdir build +cd build & cmake .. -Gninja && ninja +./build/tests +``` + +should you wish to build this and you run into issues (as you likely will) you are welcome to email Emily Boudreaux (emily.boudreaux@dartmouth.edu); however, maintenance and support of this module +are not guaranteed. If SERiF has been released when you are reading this documentation we encourage you to look for that project on the 4D-STAR webpage (https://4d-star.org) as it inherits any and all scientific merit from this exploratory project. + +# Funding +> 4D-STAR is funded by European Research Council (ERC) under the Horizon Europe programme (Synergy Grant agreement No. 101071505: 4D-STAR). Work for this project is funded by the European Union. Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or the European Research Council. \ No newline at end of file diff --git a/sandbox.smesh b/sandbox.smesh new file mode 100644 index 0000000..41e4a96 --- /dev/null +++ b/sandbox.smesh @@ -0,0 +1,165507 @@ +# STROID MESH +# NOTE: STROID MESH IS A THIN WRAPPER AROUND MFEM's NATIVE MESH FORMAT +# STRUCTURE: +# - Type : Serial or Parallel (S for Serial, P for Parallel) +# - mesh : the primary computational domain which can be of n order and be h-refined +# - reference mesh : a reference, linear order mesh, used to ensure that the primary mesh remains well formed +# - config : The configuration options initially used to generate the mesh +# - refinement-levels : the total number of refinement levels the primary mesh has been subjected too +# NOTE: EACH BLOCK OF DATA IS STORED BETWEEN "BEGIN BLOCK \n ... \nEND BLOCK +# PARSING THE UNDERLYING MFEM NATIVE MESH FORMAT CAN BE DONE WITH MFEM'S STREAM READER +# IF YOU EXTRACT THE RAW CONTENTS BETWEEN THOSE LINES +BEGIN BLOCK HEADER + MESH_TYPE:S + REFINEMENT_LEVELS:2 + DATE_CREATED:2026-07-14 + COMMENT: + STROID_VERSION:0.4.0 +END BLOCK HEADER +BEGIN BLOCK PMESH +MFEM mesh v1.0 + +# +# MFEM Geometry Types (see fem/geom.hpp): +# +# POINT = 0 +# SEGMENT = 1 +# TRIANGLE = 2 +# SQUARE = 3 +# TETRAHEDRON = 4 +# CUBE = 5 +# PRISM = 6 +# PYRAMID = 7 +# + +dimension +3 + +elements +832 +1 5 0 131 481 134 139 482 805 485 +1 5 131 24 132 481 482 140 483 805 +1 5 481 132 76 133 805 483 141 484 +1 5 134 481 133 27 485 805 484 142 +1 5 139 482 805 485 32 135 486 138 +1 5 482 140 483 805 135 77 136 486 +1 5 805 483 141 484 486 136 118 137 +1 5 485 805 484 142 138 486 137 80 +1 5 24 143 487 132 140 488 806 483 +1 5 143 1 144 487 488 149 489 806 +1 5 487 144 25 145 806 489 150 490 +1 5 132 487 145 76 483 806 490 141 +1 5 140 488 806 483 77 146 491 136 +1 5 488 149 489 806 146 33 147 491 +1 5 806 489 150 490 491 147 78 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default: 3 +order:4 + +# include_external_domain: Whether or not to include the external domain in the mesh generally used for applying boundary conditions at infinity +# std::optional +# default: true +include_external_domain:true + +# r_core: the radius of the stellar core region (in reference space) +# std::optional +# default: 0.25 +r_core:0.25 + +# r_star: the radius of the stellar surface (in reference space) +# std::optional +# default: 1.0 +r_star:1 + +# flattening: the flattening of the star (in reference space) where 0 is spherical and >0 is oblate. Note that this parameter is not equivalent to solving for the structure of a rotating model +# std::optional +# default: 0.0 +flattening:0 + +# r_infinity: the radius of the outer boundary of the mesh (in reference space) +# std::optional +# default: 6.0 +r_infinity:6 + +# r_instability: the radius inside which computations of geometry are skipped to avoid a core singularity +# std::optional +# default: 1e-14 +r_instability:1e-14 + +# core_steepness: Controls the rate of transition of the core-to-envelope transition +# std::optional +# default: 1.0 +core_steepness:1 + +# continuity_order: order of continuity to force from teh core-envelope transition (0 = discontinuous, 1=C1 continuity, etc...) +# std::optional +# default: 2 +continuity_order:2 + +# surface_bdr_id: the boundary id to tag the stellar surface boundary elements as +# std::optional +# default: 1 +surface_bdr_id:1 + +# inf_bdr_id: the boundary id to tag the outer boundary elements as +# std::optional +# default: 2 +inf_bdr_id:2 + +# core_id: the material attribute to tag elements in the core region as +# std::optional +# default 1 +core_id:1 + +# envelope_id: the material attribute to tag elements in the envelope as +# std::optional +# default 2 +envelope_id:2 + +# vacuum_id: the material attribute to tag elements in the vacuum region as +# std::optional +# default 3 +vacuum_id:3 + +# optimization_method: struct for storing which optimization methods are being used +# includes tmop and smoothstep booleans +optimization_methods-tmop:false +optimization_methods-smoothstep:true +END BLOCK CONFIG diff --git a/tests/geometry/volume.cpp b/tests/geometry/volume.cpp new file mode 100644 index 0000000..1732d48 --- /dev/null +++ b/tests/geometry/volume.cpp @@ -0,0 +1,25 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include + +import mean_field; +import test_helpers; + +using namespace mean_field; + + +TEST_CASE("STROID Volume vs sphere", tags::geometry & tags::volume) { + auto args = test_utils::setup_args(); + fem::FEM f = fem::setup_fem(args.mesh_file, args, 0); + const double analytic_vol = (4.0 / 3.0) * M_PI * std::pow(utils::RADIUS, 3); + const double stroid_vol = analysis::get_mesh_volume(f); + + double s = analytic_vol / stroid_vol; + CHECK_THAT(stroid_vol, Catch::Matchers::WithinRel(analytic_vol, 1e-6)); +} \ No newline at end of file diff --git a/tests/physics/gravity.cpp b/tests/physics/gravity.cpp new file mode 100644 index 0000000..ef42e0e --- /dev/null +++ b/tests/physics/gravity.cpp @@ -0,0 +1,600 @@ +#include +#include + +#include +#include +#include +#include + +#include +#include +#include + +import mean_field; +import test_helpers; + +using namespace mean_field; + +namespace { + struct GravitationalEnergies { + double binding; + double virial; + }; + + struct HomogeneousEllipsoidAnalytic { + double coefficient_x; + double coefficient_y; + double coefficient_z; + double energy_kernel; + }; + + template + GravitationalEnergies compute_gravitational_energies(fem::FEM& f, const mfem::GridFunction& rho, + const GravitySolutionType& gravity_solution, + const int quadrature_order) { + const int dim = f.mesh->Dimension(); + double local_bind_integral = 0.0; + double local_virial_integral = 0.0; + + mfem::Vector x_physical(dim); + mfem::Vector grad_phi_element(dim); + mfem::Vector grad_phi_physical(dim); + mfem::DenseMatrix map_jacobian(dim, dim); + + for (int elem_id = 0; elem_id < f.mesh->GetNE(); ++elem_id) { + if (f.mesh->GetAttribute(elem_id) == 3) { + continue; + } + + mfem::ElementTransformation* transformation = f.mesh->GetElementTransformation(elem_id); + const mfem::IntegrationRule& integration_rule = + mfem::IntRules.Get(transformation->GetGeometryType(), quadrature_order); + + for (int q = 0; q < integration_rule.GetNPoints(); ++q) { + const mfem::IntegrationPoint& integration_point = integration_rule.IntPoint(q); + transformation->SetIntPoint(&integration_point); + + double weight = transformation->Weight() * integration_point.weight; + + if (f.has_mapping()) { + const double map_determinant = f.mapping->ComputeDetJ(*transformation, integration_point); + MFEM_VERIFY(map_determinant > 0.0, "Domain mapping has a non-positive Jacobian determinant."); + + weight *= map_determinant; + f.mapping->GetPhysicalPoint(*transformation, integration_point, x_physical); + gravity_solution.gradPhi.GetVectorValue(elem_id, integration_point, grad_phi_element); + f.mapping->ComputeJacobian(*transformation, map_jacobian); + map_jacobian.Mult(grad_phi_element, grad_phi_physical); + grad_phi_physical /= map_determinant; + } else { + transformation->Transform(integration_point, x_physical); + gravity_solution.gradPhi.GetVectorValue(elem_id, integration_point, grad_phi_physical); + } + + const double rho_value = rho.GetValue(elem_id, integration_point); + const double phi_value = gravity_solution.phi.GetValue(elem_id, integration_point); + double radius_dot_gradient = 0.0; + + for (int d = 0; d < dim; ++d) { + radius_dot_gradient += (x_physical(d) - f.com(d)) * grad_phi_physical(d); + } + + local_bind_integral += rho_value * phi_value * weight; + local_virial_integral += rho_value * radius_dot_gradient * weight; + } + } + + const double local_w_bind = 0.5 * local_bind_integral; + const double local_w_vir = -local_virial_integral; + double global_w_bind = 0.0; + double global_w_vir = 0.0; + MPI_Comm communicator = f.L2_fes->GetComm(); + + MPI_Allreduce(&local_w_bind, &global_w_bind, 1, MPI_DOUBLE, MPI_SUM, communicator); + MPI_Allreduce(&local_w_vir, &global_w_vir, 1, MPI_DOUBLE, MPI_SUM, communicator); + + return {.binding = global_w_bind, .virial = global_w_vir}; + } + + void zero_vacuum_density(const fem::FEM& f, mfem::GridFunction& rho) { + for (int i = 0; i < f.vacuum_tdof_rho.Size(); ++i) { + rho(f.vacuum_tdof_rho[i]) = 0.0; + } + } + + int get_gravity_quadrature_order(const fem::FEM& f) { + return 2 * std::max(f.L2_fes->GetMaxElementOrder(), f.RT_fes->GetMaxElementOrder()) + 8; + } + + double compute_ellipsoid_coefficient(const double normalized_axis_x, const double normalized_axis_y, + const double normalized_axis_z, const double target_axis_squared) { + auto integrand = [=](const double t) { + if (t <= 0.0 || t >= 1.0) { + return 0.0; + } + + const double one_minus_t = 1.0 - t; + const double s = t / one_minus_t; + const double s_squared = s * s; + const double ds_squared_dt = 2.0 * s / (one_minus_t * one_minus_t); + const double delta = std::sqrt( + (normalized_axis_x * normalized_axis_x + s_squared) * + (normalized_axis_y * normalized_axis_y + s_squared) * + (normalized_axis_z * normalized_axis_z + s_squared) + ); + + return normalized_axis_x * normalized_axis_y * normalized_axis_z * ds_squared_dt / + ((target_axis_squared + s_squared) * delta); + }; + + double integration_error = 0.0; + return boost::math::quadrature::gauss_kronrod::integrate( + integrand, 0.0, 1.0, 15, 1.0e-13, &integration_error + ); + } + + double compute_ellipsoid_energy_kernel(const double normalized_axis_x, const double normalized_axis_y, + const double normalized_axis_z, const double length_scale) { + auto integrand = [=](const double t) { + if (t <= 0.0) { + return 0.0; + } + if (t >= 1.0) { + return 2.0; + } + + const double one_minus_t = 1.0 - t; + const double s = t / one_minus_t; + const double s_squared = s * s; + const double ds_squared_dt = 2.0 * s / (one_minus_t * one_minus_t); + const double delta = std::sqrt( + (normalized_axis_x * normalized_axis_x + s_squared) * + (normalized_axis_y * normalized_axis_y + s_squared) * + (normalized_axis_z * normalized_axis_z + s_squared) + ); + + return ds_squared_dt / delta; + }; + + double integration_error = 0.0; + const double dimensionless_integral = boost::math::quadrature::gauss_kronrod::integrate( + integrand, 0.0, 1.0, 15, 1.0e-13, &integration_error + ); + + return dimensionless_integral / length_scale; + } + + HomogeneousEllipsoidAnalytic compute_homogeneous_ellipsoid_analytic( + const double semi_axis_x, const double semi_axis_y, const double semi_axis_z + ) { + const double length_scale = std::cbrt(semi_axis_x * semi_axis_y * semi_axis_z); + const double normalized_axis_x = semi_axis_x / length_scale; + const double normalized_axis_y = semi_axis_y / length_scale; + const double normalized_axis_z = semi_axis_z / length_scale; + const double coefficient_x = compute_ellipsoid_coefficient( + normalized_axis_x, normalized_axis_y, normalized_axis_z, normalized_axis_x * normalized_axis_x + ); + const double coefficient_y = compute_ellipsoid_coefficient( + normalized_axis_x, normalized_axis_y, normalized_axis_z, normalized_axis_y * normalized_axis_y + ); + const double coefficient_z = compute_ellipsoid_coefficient( + normalized_axis_x, normalized_axis_y, normalized_axis_z, normalized_axis_z * normalized_axis_z + ); + const double energy_kernel = compute_ellipsoid_energy_kernel( + normalized_axis_x, normalized_axis_y, normalized_axis_z, length_scale + ); + + return { + .coefficient_x = coefficient_x, + .coefficient_y = coefficient_y, + .coefficient_z = coefficient_z, + .energy_kernel = energy_kernel + }; + } +} + +TEST_CASE("Uniform Potential Matches Analytic", tags::gravity & tags::analytic_comparison) { + auto args = test_utils::setup_args(); + fem::FEM f = fem::setup_fem(args.mesh_file, args, 0); + f.mapping->ResetDisplacement(); + physics::update_stiffness_matrix(f); + + const double radius = utils::RADIUS; + const double mass = utils::MASS; + const double analytic_volume = (4.0 / 3.0) * M_PI * std::pow(radius, 3.0); + const double density = mass / analytic_volume; + + mfem::GridFunction rho_uniform(f.L2_fes.get()); + rho_uniform = density; + zero_vacuum_density(f, rho_uniform); + analysis::conserve_mass(f, rho_uniform, mass); + + f.com = analysis::get_com(f, rho_uniform); + f.Q = physics::compute_quadrupole_moment_tensor(f, rho_uniform, f.com); + + const auto gravity_solution = physics::grav_potential(f, args, rho_uniform); + constexpr double potential_tolerance = utils::APPROX_MAX_ACCEPTABLE_POTENTIAL_ERROR_SI_BURNING; + double local_max_abs_error = 0.0; + double local_max_rel_error = 0.0; + + const int num_elements_to_test = std::min(30, f.mesh->GetNE()); + for (int elem_id = 0; elem_id < num_elements_to_test; ++elem_id) { + mfem::ElementTransformation* transformation = f.mesh->GetElementTransformation(elem_id); + const mfem::IntegrationRule& integration_rule = mfem::IntRules.Get(transformation->GetGeometryType(), 2); + const mfem::IntegrationPoint& integration_point = integration_rule.IntPoint(0); + transformation->SetIntPoint(&integration_point); + + mfem::Vector x_physical; + f.mapping->GetPhysicalPoint(*transformation, integration_point, x_physical); + + const double radial_coordinate = x_physical.Norml2(); + if (radial_coordinate < 1.0e-9) { + continue; + } + + const double phi_analytic = -(utils::G * mass / (2.0 * std::pow(radius, 3.0))) * + (3.0 * radius * radius - radial_coordinate * radial_coordinate); + const double phi_fem = gravity_solution.phi.GetValue(elem_id, integration_point); + const double absolute_error = std::abs(phi_fem - phi_analytic); + const double relative_error = absolute_error / std::abs(phi_analytic); + + local_max_abs_error = std::max(local_max_abs_error, absolute_error); + local_max_rel_error = std::max(local_max_rel_error, relative_error); + CHECK_THAT(relative_error, Catch::Matchers::WithinAbs(0.0, 0.1 * potential_tolerance)); + } + + double global_max_abs_error = 0.0; + double global_max_rel_error = 0.0; + MPI_Comm communicator = f.L2_fes->GetComm(); + MPI_Allreduce(&local_max_abs_error, &global_max_abs_error, 1, MPI_DOUBLE, MPI_MAX, communicator); + MPI_Allreduce(&local_max_rel_error, &global_max_rel_error, 1, MPI_DOUBLE, MPI_MAX, communicator); + + const int quadrature_order = get_gravity_quadrature_order(f); + const GravitationalEnergies energies = compute_gravitational_energies(f, rho_uniform, gravity_solution, quadrature_order); + const double analytic_binding_energy = -(3.0 / 5.0) * utils::G * mass * mass / radius; + const double relative_binding_error = std::abs(energies.binding - analytic_binding_energy) / std::abs(analytic_binding_energy); + const double relative_virial_error = std::abs(energies.virial - analytic_binding_energy) / std::abs(analytic_binding_energy); + const double relative_consistency_error = std::abs(energies.binding - energies.virial) / std::abs(energies.binding); + + INFO("Analytic binding energy = " << analytic_binding_energy); + INFO("Computed binding energy = " << energies.binding); + INFO("Computed virial energy = " << energies.virial); + INFO("Relative virial consistency error = " << relative_consistency_error); + + constexpr double energy_tolerance = 1.0e-5; + constexpr double consistency_tolerance = 1.0e-6; + + CHECK_THAT(global_max_rel_error, Catch::Matchers::WithinAbs(0.0, 0.1 * potential_tolerance)); + CHECK_THAT(global_max_abs_error, Catch::Matchers::WithinAbs(0.0, 0.1 * potential_tolerance)); + CHECK_THAT(relative_binding_error, Catch::Matchers::WithinAbs(0.0, energy_tolerance)); + CHECK_THAT(relative_virial_error, Catch::Matchers::WithinAbs(0.0, energy_tolerance)); + CHECK_THAT(relative_consistency_error, Catch::Matchers::WithinAbs(0.0, consistency_tolerance)); +} + +TEST_CASE("Parabolic Density Virial Self-Consistency", tags::gravity & tags::analytic_comparison) { + auto args = test_utils::setup_args(); + fem::FEM f = fem::setup_fem(args.mesh_file, args, 0); + f.mapping->ResetDisplacement(); + physics::update_stiffness_matrix(f); + + const double radius = utils::RADIUS; + const double mass = utils::MASS; + const double central_density = (15.0 * mass) / (8.0 * M_PI * std::pow(radius, 3.0)); + + auto parabolic_rho = [central_density, radius](const mfem::Vector& x) { + const double radial_coordinate = x.Norml2(); + return central_density * (1.0 - radial_coordinate * radial_coordinate / (radius * radius)); + }; + + std::unique_ptr rho_coeff; + if (f.has_mapping()) { + rho_coeff = std::make_unique(*f.mapping, parabolic_rho); + } else { + rho_coeff = std::make_unique(parabolic_rho); + } + + mfem::GridFunction rho_grid(f.L2_fes.get()); + rho_grid.ProjectCoefficient(*rho_coeff); + zero_vacuum_density(f, rho_grid); + analysis::conserve_mass(f, rho_grid, mass); + + f.com = analysis::get_com(f, rho_grid); + f.Q = physics::compute_quadrupole_moment_tensor(f, rho_grid, f.com); + + const auto gravity_solution = physics::grav_potential(f, args, rho_grid); + const int quadrature_order = get_gravity_quadrature_order(f); + const GravitationalEnergies energies = compute_gravitational_energies(f, rho_grid, gravity_solution, quadrature_order); + const double analytic_binding_energy = -(5.0 / 7.0) * utils::G * mass * mass / radius; + const double relative_binding_error = std::abs(energies.binding - analytic_binding_energy) / std::abs(analytic_binding_energy); + const double relative_virial_error = std::abs(energies.virial - analytic_binding_energy) / std::abs(analytic_binding_energy); + const double relative_consistency_error = std::abs(energies.binding - energies.virial) / std::abs(energies.binding); + + INFO("Analytic binding energy = " << analytic_binding_energy); + INFO("Computed binding energy = " << energies.binding); + INFO("Computed virial energy = " << energies.virial); + INFO("Relative virial consistency error = " << relative_consistency_error); + + constexpr double analytic_tolerance = 1.0e-5; + constexpr double consistency_tolerance = 1.0e-6; + + CHECK_THAT(relative_binding_error, Catch::Matchers::WithinAbs(0.0, analytic_tolerance)); + CHECK_THAT(relative_virial_error, Catch::Matchers::WithinAbs(0.0, analytic_tolerance)); + CHECK_THAT(relative_consistency_error, Catch::Matchers::WithinAbs(0.0, consistency_tolerance)); +} + +TEST_CASE("Rational Density Virial Self-Consistency", tags::gravity & tags::self_consistency) { + auto args = test_utils::setup_args(); + fem::FEM f = fem::setup_fem(args.mesh_file, args, 0); + f.mapping->ResetDisplacement(); + physics::update_stiffness_matrix(f); + + const double radius = utils::RADIUS; + const double mass = utils::MASS; + + // Larger values are more centrally concentrated and generally harder for a polynomial to represent. + // A regression would be considered if this test does not pass for concentrations <= 16.0. + constexpr double concentration = 16.0; + const double density_scale = mass / std::pow(radius, 3.0); + + auto rational_rho = [radius, density_scale](const mfem::Vector& x) { + const double normalized_radius_squared = (x * x) / (radius * radius); + if (normalized_radius_squared >= 1.0) { + return 0.0; + } + + const double denominator = 1.0 + concentration * normalized_radius_squared; + return density_scale * (1.0 - normalized_radius_squared) / (denominator * denominator); + }; + + std::unique_ptr rho_coeff; + if (f.has_mapping()) { + rho_coeff = std::make_unique(*f.mapping, rational_rho); + } else { + rho_coeff = std::make_unique(rational_rho); + } + + mfem::GridFunction rho_grid(f.L2_fes.get()); + rho_grid.ProjectCoefficient(*rho_coeff); + zero_vacuum_density(f, rho_grid); + analysis::conserve_mass(f, rho_grid, mass); + + f.com = analysis::get_com(f, rho_grid); + f.Q = physics::compute_quadrupole_moment_tensor(f, rho_grid, f.com); + + const auto gravity_solution = physics::grav_potential(f, args, rho_grid); + const int quadrature_order = get_gravity_quadrature_order(f); + const GravitationalEnergies energies = compute_gravitational_energies(f, rho_grid, gravity_solution, quadrature_order); + + REQUIRE(energies.binding < 0.0); + REQUIRE(energies.virial < 0.0); + + const double relative_consistency_error = std::abs(energies.binding - energies.virial) / std::abs(energies.binding); + INFO("W_bind = " << energies.binding); + INFO("W_vir = " << energies.virial); + INFO("Relative virial consistency error = " << relative_consistency_error); + + constexpr double virial_tolerance = 1.0e-5; + CHECK_THAT(relative_consistency_error, Catch::Matchers::WithinAbs(0.0, virial_tolerance)); +} + +TEST_CASE("Homogeneous Ellipsoid Analytic Gravity", tags::gravity & tags::analytic_comparison) { + auto args = test_utils::setup_args(); + fem::FEM f = fem::setup_fem(args.mesh_file, args, 0); + + const double radius = utils::RADIUS; + const double mass = utils::MASS; + constexpr double x_scale = 1.15; + constexpr double y_scale = 0.95; + constexpr double z_scale = 1.0 / (x_scale * y_scale); + assert(std::abs(x_scale * y_scale * z_scale - 1.0) < 1.0e-14); + + const double semi_axis_x = x_scale * radius; + const double semi_axis_y = y_scale * radius; + const double semi_axis_z = z_scale * radius; + + auto affine_displacement = [](const mfem::Vector& x, mfem::Vector& displacement_value) { + displacement_value.SetSize(3); + displacement_value(0) = (x_scale - 1.0) * x(0); + displacement_value(1) = (y_scale - 1.0) * x(1); + displacement_value(2) = (z_scale - 1.0) * x(2); + }; + + mfem::VectorFunctionCoefficient displacement_coeff(3, affine_displacement); + mfem::ParGridFunction displacement(f.Vec_H1_fes.get()); + displacement.ProjectCoefficient(displacement_coeff); + f.mapping->SetDisplacement(displacement); + physics::update_stiffness_matrix(f); + + const double analytic_volume = (4.0 / 3.0) * M_PI * semi_axis_x * semi_axis_y * semi_axis_z; + const double density = mass / analytic_volume; + + mfem::GridFunction rho_grid(f.L2_fes.get()); + rho_grid = density; + zero_vacuum_density(f, rho_grid); + + const double projected_mass = analysis::domain_integrate_grid_function(f, rho_grid, utils::DOMAINS::STELLAR); + const double numerical_density = density * mass / projected_mass; + analysis::conserve_mass(f, rho_grid, mass); + + f.com = analysis::get_com(f, rho_grid); + f.Q = physics::compute_quadrupole_moment_tensor(f, rho_grid, f.com); + + const HomogeneousEllipsoidAnalytic analytic = + compute_homogeneous_ellipsoid_analytic(semi_axis_x, semi_axis_y, semi_axis_z); + const double coefficient_sum = analytic.coefficient_x + analytic.coefficient_y + analytic.coefficient_z; + + INFO("A_x = " << analytic.coefficient_x); + INFO("A_y = " << analytic.coefficient_y); + INFO("A_z = " << analytic.coefficient_z); + INFO("A_x + A_y + A_z = " << coefficient_sum); + REQUIRE_THAT(coefficient_sum, Catch::Matchers::WithinAbs(2.0, 1.0e-11)); + + mfem::DenseMatrix analytic_quadrupole(3, 3); + analytic_quadrupole = 0.0; + analytic_quadrupole(0, 0) = (mass / 5.0) * (2.0 * semi_axis_x * semi_axis_x - semi_axis_y * semi_axis_y - semi_axis_z * semi_axis_z); + analytic_quadrupole(1, 1) = (mass / 5.0) * (2.0 * semi_axis_y * semi_axis_y - semi_axis_x * semi_axis_x - semi_axis_z * semi_axis_z); + analytic_quadrupole(2, 2) = (mass / 5.0) * (2.0 * semi_axis_z * semi_axis_z - semi_axis_x * semi_axis_x - semi_axis_y * semi_axis_y); + + mfem::DenseMatrix quadrupole_difference(f.Q); + quadrupole_difference -= analytic_quadrupole; + const double relative_quadrupole_error = quadrupole_difference.FNorm() / analytic_quadrupole.FNorm(); + INFO("Relative quadrupole error = " << relative_quadrupole_error); + + const auto gravity_solution = physics::grav_potential(f, args, rho_grid); + const int quadrature_order = get_gravity_quadrature_order(f); + double local_field_error_squared = 0.0; + double local_field_norm_squared = 0.0; + + mfem::Vector x_physical(3); + mfem::Vector grad_phi_element(3); + mfem::Vector grad_phi_physical(3); + mfem::Vector grad_phi_analytic(3); + mfem::Vector grad_phi_difference(3); + mfem::DenseMatrix map_jacobian(3, 3); + + for (int elem_id = 0; elem_id < f.mesh->GetNE(); ++elem_id) { + if (f.mesh->GetAttribute(elem_id) == 3) { + continue; + } + + mfem::ElementTransformation* transformation = f.mesh->GetElementTransformation(elem_id); + const mfem::IntegrationRule& integration_rule = + mfem::IntRules.Get(transformation->GetGeometryType(), quadrature_order); + + for (int q = 0; q < integration_rule.GetNPoints(); ++q) { + const mfem::IntegrationPoint& integration_point = integration_rule.IntPoint(q); + transformation->SetIntPoint(&integration_point); + + const double map_determinant = f.mapping->ComputeDetJ(*transformation, integration_point); + MFEM_VERIFY(map_determinant > 0.0, "Domain mapping has a non-positive Jacobian determinant."); + + const double weight = transformation->Weight() * integration_point.weight * map_determinant; + f.mapping->GetPhysicalPoint(*transformation, integration_point, x_physical); + gravity_solution.gradPhi.GetVectorValue(elem_id, integration_point, grad_phi_element); + f.mapping->ComputeJacobian(*transformation, map_jacobian); + map_jacobian.Mult(grad_phi_element, grad_phi_physical); + grad_phi_physical /= map_determinant; + + grad_phi_analytic(0) = 2.0 * M_PI * utils::G * numerical_density * analytic.coefficient_x * x_physical(0); + grad_phi_analytic(1) = 2.0 * M_PI * utils::G * numerical_density * analytic.coefficient_y * x_physical(1); + grad_phi_analytic(2) = 2.0 * M_PI * utils::G * numerical_density * analytic.coefficient_z * x_physical(2); + + grad_phi_difference = grad_phi_physical; + grad_phi_difference -= grad_phi_analytic; + local_field_error_squared += (grad_phi_difference * grad_phi_difference) * weight; + local_field_norm_squared += (grad_phi_analytic * grad_phi_analytic) * weight; + } + } + + double global_field_error_squared = 0.0; + double global_field_norm_squared = 0.0; + MPI_Comm communicator = f.L2_fes->GetComm(); + MPI_Allreduce(&local_field_error_squared, &global_field_error_squared, 1, MPI_DOUBLE, MPI_SUM, communicator); + MPI_Allreduce(&local_field_norm_squared, &global_field_norm_squared, 1, MPI_DOUBLE, MPI_SUM, communicator); + + const double relative_field_error = std::sqrt(global_field_error_squared / global_field_norm_squared); + const GravitationalEnergies energies = compute_gravitational_energies(f, rho_grid, gravity_solution, quadrature_order); + const double analytic_binding_energy = -(3.0 / 10.0) * utils::G * mass * mass * analytic.energy_kernel; + const double relative_binding_energy_error = std::abs(energies.binding - analytic_binding_energy) / std::abs(analytic_binding_energy); + const double relative_virial_energy_error = std::abs(energies.virial - analytic_binding_energy) / std::abs(analytic_binding_energy); + const double relative_consistency_error = std::abs(energies.binding - energies.virial) / std::abs(energies.binding); + + INFO("Analytic binding energy = " << analytic_binding_energy); + INFO("Computed binding energy = " << energies.binding); + INFO("Computed virial energy = " << energies.virial); + INFO("Relative field L2 error = " << relative_field_error); + INFO("Relative binding energy error = " << relative_binding_energy_error); + INFO("Relative virial energy error = " << relative_virial_energy_error); + INFO("Relative virial consistency error = " << relative_consistency_error); + + constexpr double quadrupole_tolerance = 2.0e-4; + constexpr double field_tolerance = 1.0e-5; + constexpr double energy_tolerance = 1.0e-5; + constexpr double consistency_tolerance = 1.0e-5; + + CHECK_THAT(relative_quadrupole_error, Catch::Matchers::WithinAbs(0.0, quadrupole_tolerance)); + CHECK_THAT(relative_field_error, Catch::Matchers::WithinAbs(0.0, field_tolerance)); + CHECK_THAT(relative_binding_energy_error, Catch::Matchers::WithinAbs(0.0, energy_tolerance)); + CHECK_THAT(relative_virial_energy_error, Catch::Matchers::WithinAbs(0.0, energy_tolerance)); + CHECK_THAT(relative_consistency_error, Catch::Matchers::WithinAbs(0.0, consistency_tolerance)); +} + +TEST_CASE("Deformed Rational Density Virial Self-Consistency", tags::gravity & tags::self_consistency) { + auto args = test_utils::setup_args(); + fem::FEM f = fem::setup_fem(args.mesh_file, args, 0); + + const double radius = utils::RADIUS; + const double mass = utils::MASS; + constexpr double x_scale = 1.15; + constexpr double y_scale = 0.95; + constexpr double z_scale = 1.0 / (x_scale * y_scale); + assert(std::abs(x_scale * y_scale * z_scale - 1.0) < 1.0e-14); + + const double semi_axis_x = x_scale * radius; + const double semi_axis_y = y_scale * radius; + const double semi_axis_z = z_scale * radius; + + auto affine_displacement = [](const mfem::Vector& x, mfem::Vector& displacement_value) { + displacement_value.SetSize(3); + displacement_value(0) = (x_scale - 1.0) * x(0); + displacement_value(1) = (y_scale - 1.0) * x(1); + displacement_value(2) = (z_scale - 1.0) * x(2); + }; + + mfem::VectorFunctionCoefficient displacement_coeff(3, affine_displacement); + mfem::ParGridFunction displacement(f.Vec_H1_fes.get()); + displacement.ProjectCoefficient(displacement_coeff); + f.mapping->SetDisplacement(displacement); + physics::update_stiffness_matrix(f); + + constexpr double concentration = 16.0; + const double density_scale = mass / std::pow(radius, 3.0); + + auto ellipsoidal_rho = [semi_axis_x, semi_axis_y, semi_axis_z, density_scale](const mfem::Vector& x) { + const double ellipsoidal_radius_squared = + x(0) * x(0) / (semi_axis_x * semi_axis_x) + + x(1) * x(1) / (semi_axis_y * semi_axis_y) + + x(2) * x(2) / (semi_axis_z * semi_axis_z); + + if (ellipsoidal_radius_squared >= 1.0) { + return 0.0; + } + + const double denominator = 1.0 + concentration * ellipsoidal_radius_squared; + return density_scale * (1.0 - ellipsoidal_radius_squared) / (denominator * denominator); + }; + + std::unique_ptr rho_coeff; + if (f.has_mapping()) { + rho_coeff = std::make_unique(*f.mapping, ellipsoidal_rho); + } else { + rho_coeff = std::make_unique(ellipsoidal_rho); + } + + mfem::GridFunction rho_grid(f.L2_fes.get()); + rho_grid.ProjectCoefficient(*rho_coeff); + zero_vacuum_density(f, rho_grid); + analysis::conserve_mass(f, rho_grid, mass); + + f.com = analysis::get_com(f, rho_grid); + f.Q = physics::compute_quadrupole_moment_tensor(f, rho_grid, f.com); + + const double normalized_quadrupole = f.Q.FNorm() / (mass * radius * radius); + INFO("Normalized quadrupole = " << normalized_quadrupole); + REQUIRE(normalized_quadrupole > 1.0e-3); + + const auto gravity_solution = physics::grav_potential(f, args, rho_grid); + const int quadrature_order = get_gravity_quadrature_order(f); + const GravitationalEnergies energies = compute_gravitational_energies(f, rho_grid, gravity_solution, quadrature_order); + + REQUIRE(energies.binding < 0.0); + REQUIRE(energies.virial < 0.0); + + const double relative_consistency_error = std::abs(energies.binding - energies.virial) / std::abs(energies.binding); + INFO("W_bind = " << energies.binding); + INFO("W_vir = " << energies.virial); + INFO("Relative virial consistency error = " << relative_consistency_error); + + constexpr double virial_tolerance = 1.0e-5; + CHECK_THAT(relative_consistency_error, Catch::Matchers::WithinAbs(0.0, virial_tolerance)); +} \ No newline at end of file diff --git a/tests/quadrature/policy.cpp b/tests/quadrature/policy.cpp new file mode 100644 index 0000000..e29954b --- /dev/null +++ b/tests/quadrature/policy.cpp @@ -0,0 +1,331 @@ +#include +#include + +#include +#include +#include +#include +#include + +#include + +import mean_field; +import test_helpers; + +using namespace mean_field; + +namespace { + std::string_view get_term_name(const quadrature::Term term) { + switch (term) { + case quadrature::Term::gravity_hdiv_mass: return "gravity_hdiv_mass"; + case quadrature::Term::gravity_divergence: return "gravity_divergence"; + case quadrature::Term::gravity_source: return "gravity_source"; + case quadrature::Term::gravity_boundary: return "gravity_boundary"; + case quadrature::Term::density_projection: return "density_projection"; + case quadrature::Term::mass_conservation: return "mass_conservation"; + case quadrature::Term::center_of_mass: return "center_of_mass"; + case quadrature::Term::quadrupole: return "quadrupole"; + case quadrature::Term::gravitational_energy: return "gravitational_energy"; + case quadrature::Term::virial: return "virial"; + case quadrature::Term::error_norm: return "error_norm"; + } + + return "unknown"; + } + + quadrature::Query make_query(const quadrature::Term term, const int base_order) { + return {.term = term, .base_order = base_order}; + } +} + +TEST_CASE("Quadrature Policy Computes Base Orders", tags::unit & tags::quadrature) { + const quadrature::Policy policy(quadrature::make_rule_set(quadrature::Mode::production)); + + quadrature::Query generic_query = { + .term = quadrature::Term::gravitational_energy, + .trial_order = 3, + .test_order = 4, + .coefficient_order = 2, + .geometry_weight_order = 5 + }; + + const quadrature::Resolution generic_resolution = policy.resolve(generic_query); + CHECK(generic_resolution.base_order == 14); + CHECK(generic_resolution.boost == 0); + CHECK(generic_resolution.order == 14); + CHECK_FALSE(generic_resolution.used_fixed_order); + + quadrature::Query divergence_query = { + .term = quadrature::Term::gravity_divergence, + .trial_order = 3, + .test_order = 2, + .coefficient_order = 1, + .geometry_weight_order = 4 + }; + + CHECK(policy.resolve(divergence_query).base_order == 9); + + divergence_query.trial_order = 0; + CHECK(policy.resolve(divergence_query).base_order == 7); + + quadrature::Query explicit_query = { + .term = quadrature::Term::gravity_hdiv_mass, + .trial_order = 20, + .test_order = 20, + .coefficient_order = 20, + .geometry_weight_order = 20, + .base_order = 11 + }; + + CHECK(policy.resolve(explicit_query).base_order == 11); + CHECK(policy.resolve(explicit_query).order == 11); +} + +TEST_CASE("Quadrature Policy Composes Global and Term Boosts", tags::unit & tags::quadrature) { + quadrature::RuleSet rule_set = quadrature::make_rule_set(quadrature::Mode::production, 3); + rule_set.gravity_hdiv_mass.boost = 5; + rule_set.error_norm.boost = 2; + const quadrature::Policy policy(rule_set); + + const quadrature::Resolution mass_resolution = policy.resolve(make_query(quadrature::Term::gravity_hdiv_mass, 7)); + CHECK(mass_resolution.base_order == 7); + CHECK(mass_resolution.boost == 8); + CHECK(mass_resolution.order == 15); + CHECK_FALSE(mass_resolution.used_fixed_order); + + const quadrature::Resolution error_resolution = policy.resolve(make_query(quadrature::Term::error_norm, 7)); + CHECK(error_resolution.boost == 5); + CHECK(error_resolution.order == 12); + + const quadrature::Resolution source_resolution = policy.resolve(make_query(quadrature::Term::gravity_source, 7)); + CHECK(source_resolution.boost == 3); + CHECK(source_resolution.order == 10); +} + +TEST_CASE("Quadrature Fixed Orders Have Defined Precedence", tags::unit & tags::quadrature) { + quadrature::RuleSet rule_set = quadrature::make_rule_set(quadrature::Mode::production, 4); + rule_set.fallback.fixed_order = 17; + rule_set.gravity_hdiv_mass.fixed_order = 23; + rule_set.gravity_hdiv_mass.boost = 100; + rule_set.gravity_source.boost = 100; + const quadrature::Policy policy(rule_set); + + const quadrature::Resolution term_resolution = policy.resolve(make_query(quadrature::Term::gravity_hdiv_mass, 8)); + CHECK(term_resolution.base_order == 8); + CHECK(term_resolution.boost == 0); + CHECK(term_resolution.order == 23); + CHECK(term_resolution.used_fixed_order); + + const quadrature::Resolution fallback_resolution = policy.resolve(make_query(quadrature::Term::gravity_source, 8)); + CHECK(fallback_resolution.base_order == 8); + CHECK(fallback_resolution.boost == 0); + CHECK(fallback_resolution.order == 17); + CHECK(fallback_resolution.used_fixed_order); +} + +TEST_CASE("Quadrature Modes Apply Their Expected Baseline Boosts", tags::unit & tags::quadrature) { + constexpr int base_order = 6; + constexpr int global_boost = 3; + + for (const quadrature::Mode mode : {quadrature::Mode::fast, quadrature::Mode::production, quadrature::Mode::convergence}) { + const quadrature::Policy policy(quadrature::make_rule_set(mode, global_boost)); + const quadrature::Resolution resolution = policy.resolve(make_query(quadrature::Term::error_norm, base_order)); + CHECK(resolution.boost == global_boost); + CHECK(resolution.order == base_order + global_boost); + } + + const quadrature::Policy reference_policy(quadrature::make_rule_set(quadrature::Mode::reference, global_boost)); + const quadrature::Resolution reference_resolution = reference_policy.resolve(make_query(quadrature::Term::error_norm, base_order)); + CHECK(reference_resolution.boost == global_boost + 8); + CHECK(reference_resolution.order == base_order + global_boost + 8); +} + +TEST_CASE("Quadrature Policy Routes Every Term to Its Control", tags::unit & tags::quadrature) { + quadrature::RuleSet rule_set; + rule_set.gravity_hdiv_mass.boost = 1; + rule_set.gravity_divergence.boost = 2; + rule_set.gravity_source.boost = 3; + rule_set.gravity_boundary.boost = 4; + rule_set.density_projection.boost = 5; + rule_set.mass_conservation.boost = 6; + rule_set.center_of_mass.boost = 7; + rule_set.quadrupole.boost = 8; + rule_set.gravitational_energy.boost = 9; + rule_set.virial.boost = 10; + rule_set.error_norm.boost = 11; + const quadrature::Policy policy(rule_set); + + const std::array, 11> cases = {{ + {quadrature::Term::gravity_hdiv_mass, 1}, + {quadrature::Term::gravity_divergence, 2}, + {quadrature::Term::gravity_source, 3}, + {quadrature::Term::gravity_boundary, 4}, + {quadrature::Term::density_projection, 5}, + {quadrature::Term::mass_conservation, 6}, + {quadrature::Term::center_of_mass, 7}, + {quadrature::Term::quadrupole, 8}, + {quadrature::Term::gravitational_energy, 9}, + {quadrature::Term::virial, 10}, + {quadrature::Term::error_norm, 11} + }}; + + for (const auto& [term, expected_boost] : cases) { + DYNAMIC_SECTION(get_term_name(term)) { + const quadrature::Resolution resolution = policy.resolve(make_query(term, 20)); + CHECK(resolution.boost == expected_boost); + CHECK(resolution.order == 20 + expected_boost); + } + } +} + +TEST_CASE("Quadrature Policy Rejects Invalid Orders", tags::unit & tags::quadrature) { + const quadrature::Policy policy(quadrature::make_rule_set(quadrature::Mode::production)); + + quadrature::Query negative_component_query = { + .term = quadrature::Term::error_norm, + .trial_order = -1 + }; + REQUIRE_THROWS_AS(policy.resolve(negative_component_query), std::invalid_argument); + + quadrature::Query negative_base_query = { + .term = quadrature::Term::error_norm, + .base_order = -1 + }; + REQUIRE_THROWS_AS(policy.resolve(negative_base_query), std::invalid_argument); + + quadrature::RuleSet negative_fixed_rule_set; + negative_fixed_rule_set.error_norm.fixed_order = -1; + const quadrature::Policy negative_fixed_policy(negative_fixed_rule_set); + REQUIRE_THROWS_AS(negative_fixed_policy.resolve(make_query(quadrature::Term::error_norm, 3)), std::invalid_argument); + + quadrature::RuleSet negative_resolved_rule_set; + negative_resolved_rule_set.fallback.boost = -4; + const quadrature::Policy negative_resolved_policy(negative_resolved_rule_set); + REQUIRE_THROWS_AS(negative_resolved_policy.resolve(make_query(quadrature::Term::error_norm, 3)), std::invalid_argument); +} + +TEST_CASE("MFEM Rule Factory Returns the Resolved Rule", tags::unit & tags::quadrature) { + quadrature::RuleSet rule_set = quadrature::make_rule_set(quadrature::Mode::production, 2); + rule_set.error_norm.boost = 3; + const quadrature::RuleFactory factory{quadrature::Policy(rule_set)}; + const quadrature::MfemRule selected_rule = factory.get(make_query(quadrature::Term::error_norm, 4), mfem::Geometry::CUBE); + const mfem::IntegrationRule& expected_rule = mfem::IntRules.Get(mfem::Geometry::CUBE, 9); + + REQUIRE(selected_rule.integration_rule != nullptr); + CHECK(selected_rule.resolution.base_order == 4); + CHECK(selected_rule.resolution.boost == 5); + CHECK(selected_rule.resolution.order == 9); + CHECK(selected_rule.integration_rule == &expected_rule); + CHECK(selected_rule.integration_rule->GetNPoints() > 0); +} + +TEST_CASE("MFEM Quadrature Rule Integrates Tensor Polynomial Exactly", tags::unit & tags::quadrature) { + constexpr int polynomial_degree = 7; + const quadrature::RuleFactory factory{quadrature::Policy(quadrature::make_rule_set(quadrature::Mode::production))}; + const quadrature::MfemRule selected_rule = factory.get(make_query(quadrature::Term::error_norm, polynomial_degree), mfem::Geometry::CUBE); + double numerical_integral = 0.0; + + for (int i = 0; i < selected_rule.integration_rule->GetNPoints(); ++i) { + const mfem::IntegrationPoint& integration_point = selected_rule.integration_rule->IntPoint(i); + numerical_integral += integration_point.weight * std::pow(integration_point.x, polynomial_degree) * std::pow(integration_point.y, polynomial_degree) * std::pow(integration_point.z, polynomial_degree); + } + + const double one_dimensional_integral = 1.0 / static_cast(polynomial_degree + 1); + const double analytic_integral = one_dimensional_integral * one_dimensional_integral * one_dimensional_integral; + CHECK_THAT(numerical_integral, Catch::Matchers::WithinAbs(analytic_integral, 5.0e-14)); +} + +TEST_CASE("Policy Controlled Hdiv Mass Assembly Matches Overintegrated Reference", tags::quadrature & tags::solver & tags::integration) { + mfem::Mesh mesh = mfem::Mesh::MakeCartesian3D(1, 1, 1, mfem::Element::HEXAHEDRON, 1.0, 1.0, 1.0); + mfem::RT_FECollection rt_collection(2, 3); + mfem::FiniteElementSpace rt_space(&mesh, &rt_collection); + const mfem::FiniteElement* rt_element = rt_space.GetTypicalFE(); + mfem::ElementTransformation* transformation = mesh.GetElementTransformation(0); + const int base_order = 2 * rt_element->GetOrder() + transformation->OrderW(); + + const quadrature::RuleFactory production_factory{quadrature::Policy(quadrature::make_rule_set(quadrature::Mode::production))}; + const quadrature::MfemRule production_rule = production_factory.get(make_query(quadrature::Term::gravity_hdiv_mass, base_order), rt_element->GetGeomType()); + + quadrature::RuleSet reference_rule_set = quadrature::make_rule_set(quadrature::Mode::production); + reference_rule_set.gravity_hdiv_mass.boost = 8; + const quadrature::RuleFactory reference_factory{quadrature::Policy(reference_rule_set)}; + const quadrature::MfemRule reference_rule = reference_factory.get(make_query(quadrature::Term::gravity_hdiv_mass, base_order), rt_element->GetGeomType()); + + mfem::BilinearForm production_mass(&rt_space); + auto* production_integrator = new mfem::VectorFEMassIntegrator(); + production_integrator->SetIntegrationRule(*production_rule.integration_rule); + production_mass.AddDomainIntegrator(production_integrator); + production_mass.Assemble(); + production_mass.Finalize(); + + mfem::BilinearForm reference_mass(&rt_space); + auto* reference_integrator = new mfem::VectorFEMassIntegrator(); + reference_integrator->SetIntegrationRule(*reference_rule.integration_rule); + reference_mass.AddDomainIntegrator(reference_integrator); + reference_mass.Assemble(); + reference_mass.Finalize(); + + mfem::Vector input(rt_space.GetVSize()); + mfem::Vector production_output(rt_space.GetVSize()); + mfem::Vector reference_output(rt_space.GetVSize()); + for (int i = 0; i < input.Size(); ++i) { + input(i) = std::sin(0.37 * static_cast(i + 1)); + } + + production_mass.Mult(input, production_output); + reference_mass.Mult(input, reference_output); + + mfem::Vector difference(production_output); + difference -= reference_output; + const double relative_difference = difference.Norml2() / reference_output.Norml2(); + INFO("Production quadrature order = " << production_rule.resolution.order); + INFO("Reference quadrature order = " << reference_rule.resolution.order); + INFO("Relative operator difference = " << relative_difference); + CHECK_THAT(relative_difference, Catch::Matchers::WithinAbs(0.0, 1.0e-12)); +} + +TEST_CASE("HDiv Mass Helper Resolves the MFEM Baseline", tags::unit & tags::quadrature & tags::solver) { + mfem::Mesh mesh = mfem::Mesh::MakeCartesian3D(1, 1, 1, mfem::Element::HEXAHEDRON); + mfem::RT_FECollection rt_collection(2, 3); + mfem::FiniteElementSpace rt_space(&mesh, &rt_collection); + + quadrature::RuleSet rule_set = quadrature::make_rule_set(quadrature::Mode::production); + rule_set.gravity_hdiv_mass.boost = 3; + quadrature::RuleFactory factory{quadrature::Policy(std::move(rule_set))}; + + const mfem::FiniteElement& element = *rt_space.GetTypicalFE(); + const mfem::ElementTransformation& transformation = *mesh.GetElementTransformation(0); + mfem::VectorFEMassIntegrator integrator; + + const quadrature::Resolution resolution = factory.configure_gravity_hdiv_mass(integrator, quadrature::QuadratureRole::discretization, element, transformation); + const int expected_base_order = 2 * element.GetOrder() + transformation.OrderW(); + + CHECK(resolution.base_order == expected_base_order); + CHECK(resolution.boost == 3); + CHECK(resolution.order == expected_base_order + 3); +} + +TEST_CASE("Gravity Divergence Helper Resolves Preconditioner Rule", tags::unit & tags::quadrature & tags::solver) { + mfem::Mesh mesh = mfem::Mesh::MakeCartesian3D(1, 1, 1, mfem::Element::HEXAHEDRON); + mfem::RT_FECollection rt_collection(2, 3); + mfem::L2_FECollection l2_collection(2, 3); + mfem::FiniteElementSpace rt_space(&mesh, &rt_collection); + mfem::FiniteElementSpace l2_space(&mesh, &l2_collection); + + quadrature::RuleSet rule_set = quadrature::make_rule_set(quadrature::Mode::production); + rule_set.gravity_divergence.boost = 2; + rule_set.roles.preconditioner.boost = 3; + quadrature::RuleFactory factory{quadrature::Policy(std::move(rule_set))}; + + const mfem::FiniteElement& trial_element = *rt_space.GetTypicalFE(); + const mfem::FiniteElement& test_element = *l2_space.GetTypicalFE(); + const mfem::ElementTransformation& transformation = *mesh.GetElementTransformation(0); + mfem::VectorFEDivergenceIntegrator integrator; + + const quadrature::Resolution resolution = factory.configure_gravity_divergence(integrator, quadrature::QuadratureRole::preconditioner, trial_element, test_element, transformation); + const int expected_base_order = std::max(0, trial_element.GetOrder() - 1) + test_element.GetOrder() + transformation.OrderW(); + + CHECK(resolution.base_order == expected_base_order); + CHECK(resolution.boost == 5); + CHECK(resolution.order == expected_base_order + 5); +} \ No newline at end of file diff --git a/tests/test_helpers.cppm b/tests/test_helpers.cppm new file mode 100644 index 0000000..47c8eea --- /dev/null +++ b/tests/test_helpers.cppm @@ -0,0 +1,97 @@ +module; +#include +#include +#include +#include + +#include +#include +export module test_helpers; +import mean_field; + +template +struct Tag { + std::array chars{}; + + // ReSharper disable once CppNonExplicitConvertingConstructor + consteval Tag(std::array arr) : chars(arr) {} + + // ReSharper disable once CppNonExplicitConversionOperator + constexpr operator const char*() const { return chars.data(); } + + // ReSharper disable once CppNonExplicitConversionOperator + constexpr operator Catch::StringRef() const { + return Catch::StringRef(chars.data(), N - 1); + } + + template + consteval Tag operator&(const Tag& other) const { + std::array res{}; + std::ranges::copy(chars.begin(), chars.end() - 1, res.begin()); + std::ranges::copy(other.chars, res.begin() + (N - 1)); + return {res}; + } +}; + +template +consteval auto make_tag(const char (&str)[N]) { + std::array res{}; + res[0] = '['; + std::ranges::copy(str, str + N - 1, res.begin() + 1); + res[N] = ']'; + res[N + 1] = '\0'; + return Tag{res}; +} + +template +consteval auto sub_tag(const Tag& parent, const char (&str)[M]) { + return parent & make_tag(str); +} + +namespace test_utils::detail { + std::optional configured_args; + + mean_field::utils::Args make_default_args() { + mean_field::utils::Args args; + args.mesh_file = "sandbox.smesh"; + args.p.rtol = 1.0e-12; + args.p.atol = 1.0e-12; + return args; + } +} + +export namespace test_utils { + void set_args(mean_field::utils::Args args) { + detail::configured_args = std::move(args); + } + + mean_field::utils::Args setup_args() { + if (detail::configured_args.has_value()) { + return *detail::configured_args; + } + + return detail::make_default_args(); + } +} + +export namespace tags { + inline constexpr auto geometry = make_tag("geometry"); + inline constexpr auto physics = make_tag("physics"); + inline constexpr auto unit = make_tag("unit"); + inline constexpr auto mesh = make_tag("mesh"); + inline constexpr auto integration = make_tag("integration"); + inline constexpr auto solver = make_tag("solver"); + + inline constexpr auto gravity = sub_tag(physics, "gravity"); + inline constexpr auto hydro = sub_tag(physics, "hydro"); + inline constexpr auto jacobian = sub_tag(integration & physics , "jacobian"); + inline constexpr auto residuals = sub_tag(integration & physics , "residuals"); + inline constexpr auto h_refinement = sub_tag(mesh & solver , "h_refinement"); + inline constexpr auto volume = sub_tag(mesh & geometry , "volume"); + inline constexpr auto quadrature = sub_tag(mesh & geometry & solver , "quadrature"); + + inline constexpr auto analytic_comparison = sub_tag(solver & physics & residuals , "analytic_comparison"); + inline constexpr auto self_consistency = sub_tag(solver & physics , "self_consistency"); + +} + diff --git a/tests/test_main.cpp b/tests/test_main.cpp new file mode 100644 index 0000000..35addf5 --- /dev/null +++ b/tests/test_main.cpp @@ -0,0 +1,223 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include + +import mean_field; +import test_helpers; + +class CheckReporter : public Catch::StreamingReporterBase { + // Accumulate failure messages for the current test case + std::vector m_currentFailures; + +public: + using StreamingReporterBase::StreamingReporterBase; + + static std::string getDescription() { + return "Fixed-width table reporter with detailed assertion failures."; + } + + void testRunStarting(Catch::TestRunInfo const& _testRunInfo) override { + StreamingReporterBase::testRunStarting(_testRunInfo); + + std::cout << '\n'; + std::cout << std::left << std::setw(55) << "Test Case Name" + << "Status " + << std::right << std::setw(8) << "Passed" + << std::setw(8) << "Failed" << '\n'; + std::cout << std::string(81, '-') << '\n'; + } + + // 1. Hook into every assertion to catch failures + void assertionEnded(Catch::AssertionStats const& assertionStats) override { + StreamingReporterBase::assertionEnded(assertionStats); + + // If the assertion failed, build a detailed message + if (!assertionStats.assertionResult.isOk()) { + auto const& result = assertionStats.assertionResult; + std::ostringstream oss; + + // Format: -> FAILED: [file:line] + oss << " \033[31m-> FAILED:\033[0m " + << result.getSourceInfo().file << ":" << result.getSourceInfo().line << '\n'; + + // Print the macro used (e.g., REQUIRE, CHECK) and the expression + oss << " " << result.getTestMacroName() << "( " << result.getExpression() << " )\n"; + + // Print what it actually evaluated to (e.g., 1 == 2) + if (result.hasExpandedExpression()) { + oss << " with expansion:\n" + << " " << result.getExpandedExpression() << '\n'; + } + + // Capture any INFO() messages attached to this assertion + for (auto const& msg : assertionStats.infoMessages) { + oss << " info: " << msg.message << '\n'; + } + + m_currentFailures.push_back(oss.str()); + } + } + + void testCaseEnded(Catch::TestCaseStats const& stats) override { + StreamingReporterBase::testCaseEnded(stats); + + bool passed = stats.totals.assertions.allPassed(); + std::string mark = passed ? "\033[32m✓\033[0m" : "\033[31m✗\033[0m"; + + std::string name = stats.testInfo->name; + if (name.length() > 53) { + name = name.substr(0, 50) + "..."; + } + + // Print the table row + std::cout << std::left << std::setw(55) << name + << mark << " " + << std::right << std::setw(8) << stats.totals.assertions.passed + << std::setw(8) << stats.totals.assertions.failed << '\n'; + + // 2. Print all accumulated failures under the row + if (!m_currentFailures.empty()) { + std::cout << '\n'; + for (auto const& failure : m_currentFailures) { + std::cout << failure << '\n'; + } + // Add a separator so multiple failing tests don't blur together + std::cout << std::string(81, '-') << '\n'; + + // Clear the buffer for the next test case + m_currentFailures.clear(); + } + } + + void testRunEnded(Catch::TestRunStats const& _testRunStats) override { + StreamingReporterBase::testRunEnded(_testRunStats); + + std::cout << std::string(81, '=') << '\n'; + + auto const& tc = _testRunStats.totals.testCases; + auto const& as = _testRunStats.totals.assertions; + + std::string tc_passed_str = tc.passed > 0 ? "\033[32m" + std::to_string(tc.passed) + " passed\033[0m" : "0 passed"; + std::string tc_failed_str = tc.failed > 0 ? "\033[31m" + std::to_string(tc.failed) + " failed\033[0m" : "0 failed"; + + std::string as_passed_str = as.passed > 0 ? "\033[32m" + std::to_string(as.passed) + " passed\033[0m" : "0 passed"; + std::string as_failed_str = as.failed > 0 ? "\033[31m" + std::to_string(as.failed) + " failed\033[0m" : "0 failed"; + + std::cout << "Test Cases: " << tc_passed_str << ", " << tc_failed_str << ", " << tc.total() << " total\n"; + std::cout << "Assertions: " << as_passed_str << ", " << as_failed_str << ", " << as.total() << " total\n\n"; + } +}; +CATCH_REGISTER_REPORTER("check", CheckReporter) + +int main(int argc, char* argv[]) { + fourdst::config::Config cfg; + CLI::App app{"Mean Field Tests"}; + + app.allow_extras(); + app.set_help_flag("--config-help", "Show mean-field configuration options"); + fourdst::config::register_as_cli(cfg, app); + + std::vector config_arguments; + std::vector forced_catch_arguments; + config_arguments.emplace_back(argv[0]); + + bool parsing_catch_arguments = false; + + for (int i = 1; i < argc; ++i) { + if (std::string_view(argv[i]) == "--catch2") { + parsing_catch_arguments = true; + continue; + } + + if (parsing_catch_arguments) { + forced_catch_arguments.emplace_back(argv[i]); + } else { + config_arguments.emplace_back(argv[i]); + } + } + + std::vector config_argv; + config_argv.reserve(config_arguments.size()); + + for (const std::string& argument : config_arguments) { + config_argv.push_back(argument.c_str()); + } + + try { + app.parse(static_cast(config_argv.size()), config_argv.data()); + } catch (const CLI::ParseError& error) { + return app.exit(error); + } + + std::vector catch_arguments; + catch_arguments.emplace_back(argv[0]); + + for (const std::string& argument : app.remaining()) { + catch_arguments.push_back(argument); + } + + for (const std::string& argument : forced_catch_arguments) { + catch_arguments.push_back(argument); + } + + const auto is_reporter_option = [](const std::string& argument) { + return argument == "-r" || argument == "--reporter" || argument.starts_with("-r=") || argument.starts_with("--reporter="); + }; + + if (const bool has_reporter = std::ranges::any_of(catch_arguments, is_reporter_option); !has_reporter) { + catch_arguments.emplace_back("--reporter"); + catch_arguments.emplace_back("check"); + } + + std::vector catch_argv; + catch_argv.reserve(catch_arguments.size()); + + for (const std::string& argument : catch_arguments) { + catch_argv.push_back(argument.c_str()); + } + + Catch::Session session; + + if (const int catch_parse_result = session.applyCommandLine(static_cast(catch_argv.size()), catch_argv.data()); catch_parse_result != 0) { + return catch_parse_result; + } + + mfem::Mpi::Init(argc, argv); + + constexpr std::string device_config = "cpu"; + mfem::Device device(device_config); + + const int hdiv_max_q1d = mfem::DeviceDofQuadLimits::Get().HDIV_MAX_Q1D; + std::cout << "H(div) maximum Q1D = " << hdiv_max_q1d << '\n'; + std::cout << "Approximate maximum safe integration order = " << 2 * hdiv_max_q1d - 1 << '\n'; + + mean_field::utils::Args test_args = cfg.main(); + + if (app.count("--mesh_file") == 0) { + test_args.mesh_file = "sandbox.smesh"; + } + + if (app.count("--p.rtol") == 0) { + test_args.p.rtol = 1.0e-12; + } + + if (app.count("--p.atol") == 0) { + test_args.p.atol = 1.0e-12; + } + + test_utils::set_args(std::move(test_args)); + + return session.run(); +} \ No newline at end of file