Emily Boudreaux
0f3ca8050b
currently the barotope and the pressure force operator are migrated to the new support system
432 lines
17 KiB
C++
432 lines
17 KiB
C++
module;
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#include <mfem.hpp>
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module mean_field;
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namespace mean_field::integrators {
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ContinuityVolumeIntegrator::ContinuityVolumeIntegrator(const mapping::DomainMapper &map) : m_map(map) { };
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void ContinuityVolumeIntegrator::AssembleElementVector(
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const mfem::Array<const mfem::FiniteElement *> &el,
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mfem::ElementTransformation &Tr,
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const mfem::Array<const mfem::Vector *> &elfun,
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const mfem::Array<mfem::Vector *> &elvec
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) {
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if (utils::is_vacuum(Tr, elvec)) {
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return;
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}
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const mfem::FiniteElement *fe_v = el[0];
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const mfem::FiniteElement *fe_rho = el[1];
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const int dof_v = fe_v->GetDof();
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const int dof_rho = fe_rho->GetDof();
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const int dim = Tr.GetSpaceDim();
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const mfem::Vector v_dofs = *elfun[0];
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const mfem::Vector rho_dofs = *elfun[1];
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void *data_rho_before = elvec[1] ? (void *)elvec[1]->GetData() : nullptr;
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int size_rho_before = elvec[1] ? elvec[1]->Size() : -1;
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if (elvec[0]) {
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elvec[0]->SetSize(dof_v * dim);
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*elvec[0] = 0.0;
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}
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mfem::Vector &r_rho = *elvec[1];
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r_rho.SetSize(dof_rho);
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r_rho = 0.0;
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mfem::Vector shape_v(dof_v), shape_rho(dof_rho);
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mfem::DenseMatrix dshape_rho_ref(dof_rho, dim), dshape_rho_phys(dof_rho, dim);
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const mfem::IntegrationRule *ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder());
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for (int q = 0; q < ir->GetNPoints(); ++q) {
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const mfem::IntegrationPoint &ip = ir->IntPoint(q);
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Tr.SetIntPoint(&ip);
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auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip);
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fe_v->CalcShape(ip, shape_v);
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fe_rho->CalcShape(ip, shape_rho);
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fe_rho->CalcDShape(ip, dshape_rho_ref);
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mfem::Mult(dshape_rho_ref, J_inv, dshape_rho_phys);
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mfem::Vector v_val(dim);
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v_val = 0.0;
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for (int i = 0; i < dof_v; ++i) {
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for (int c = 0; c < dim; ++c) {
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const int row = i + c * dof_v;
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v_val(c) += v_dofs(row) * shape_v(i);
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}
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}
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double rho_val = 0.0;
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for (int i = 0; i < dof_rho; ++i) {
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rho_val += rho_dofs(i) * shape_rho(i);
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}
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for (int i = 0; i < dof_rho; ++i) {
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double grad_dot_rhov = 0.0;
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for (int c = 0; c < dim; ++c) {
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grad_dot_rhov += dshape_rho_phys(i, c) * rho_val * v_val(c);
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}
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r_rho(i) -= grad_dot_rhov * weight;
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}
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}
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}
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void ContinuityVolumeIntegrator::AssembleElementGrad(
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const mfem::Array<const mfem::FiniteElement *> &el,
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mfem::ElementTransformation &Tr,
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const mfem::Array<const mfem::Vector *> &elfun,
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const mfem::Array2D<mfem::DenseMatrix *> &elmats
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) {
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const mfem::FiniteElement *fe_v = el[0];
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const mfem::FiniteElement *fe_rho = el[1];
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const int dof_v = fe_v->GetDof();
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const int dof_rho = fe_rho->GetDof();
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const int dim = Tr.GetSpaceDim();
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const mfem::Vector &v_dofs = *elfun[0];
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const mfem::Vector &rho_dofs = *elfun[1];
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mfem::DenseMatrix *drho_dv = elmats(1, 0);
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mfem::DenseMatrix *drho_drho = elmats(1, 1);
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if (elmats(0, 0))
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*elmats(0, 0) = 0.0;
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if (elmats(0, 1))
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*elmats(0, 1) = 0.0;
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if (drho_dv)
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*drho_dv = 0.0;
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if (drho_drho)
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*drho_drho = 0.0;
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mfem::Vector shape_v(dof_v), shape_rho(dof_rho);
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mfem::DenseMatrix dshape_rho_ref(dof_rho, dim), dshape_rho_phys(dof_rho, dim);
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const mfem::IntegrationRule *ir = &mfem::IntRules.Get(fe_v->GetGeomType(), 2 * fe_v->GetOrder());
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for (int q = 0; q < ir->GetNPoints(); ++q) {
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const mfem::IntegrationPoint &ip = ir->IntPoint(q);
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Tr.SetIntPoint(&ip);
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auto [J_inv, detJ, weight] = m_map.GetQuadratureContext(Tr, ip);
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fe_v->CalcShape(ip, shape_v);
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fe_rho->CalcShape(ip, shape_rho);
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fe_rho->CalcDShape(ip, dshape_rho_ref);
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mfem::Mult(dshape_rho_ref, J_inv, dshape_rho_phys);
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mfem::Vector v_val(dim);
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v_val = 0.0;
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for (int i = 0; i < dof_v; ++i) {
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for (int c = 0; c < dim; ++c) {
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const int row = i + c * dof_v;
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v_val(c) += v_dofs(row) * shape_v(i);
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}
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}
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double rho_val = 0.0;
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for (int i = 0; i < dof_rho; ++i) {
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rho_val += rho_dofs(i) * shape_rho(i);
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}
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if (drho_dv) {
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for (int i = 0; i < dof_rho; ++i) {
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for (int j = 0; j < dof_v; ++j) {
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for (int d = 0; d < dim; ++d) {
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const int col = j + d * dof_v;
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(*drho_dv)(i, col) -= dshape_rho_phys(i, d) * rho_val * shape_v(j) * weight;
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}
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}
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}
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}
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if (drho_drho) {
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for (int i = 0; i < dof_rho; ++i) {
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double grad_psi_dot_v = 0.0;
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for (int c = 0; c < dim; ++c) {
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grad_psi_dot_v += dshape_rho_phys(i, c) * v_val(c);
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}
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for (int j = 0; j < dof_rho; ++j) {
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(*drho_drho)(i, j) -= grad_psi_dot_v * shape_rho(j) * weight;
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}
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}
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}
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}
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}
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ContinuityFaceIntegrator::ContinuityFaceIntegrator(const mapping::DomainMapper &map) : m_map(map) {
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}
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void ContinuityFaceIntegrator::AssembleFaceVector(
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const mfem::Array<const mfem::FiniteElement *> &el1,
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const mfem::Array<const mfem::FiniteElement *> &el2,
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mfem::FaceElementTransformations &Tr,
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const mfem::Array<const mfem::Vector *> &elfun,
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const mfem::Array<mfem::Vector *> &elvect
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) {
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const mfem::FiniteElement *fe_v_minus = el1[0];
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const mfem::FiniteElement *fe_v_plus = el2[0];
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const mfem::FiniteElement *fe_rho_minus = el1[1];
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const mfem::FiniteElement *fe_rho_plus = el2[1];
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const int dof_v_minus = fe_v_minus->GetDof();
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const int dof_v_plus = fe_v_plus->GetDof();
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const int dof_rho_minus = fe_rho_minus->GetDof();
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const int dof_rho_plus = fe_rho_plus->GetDof();
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const int dim = Tr.GetSpaceDim();
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if (elvect[0]) {
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elvect[0]->SetSize(dim * dof_v_minus + dim * dof_v_plus);
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*elvect[0] = 0.0;
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}
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mfem::Vector &r_rho = *elvect[1];
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r_rho.SetSize(dof_rho_minus + dof_rho_plus);
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r_rho = 0.0;
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const int attr_minus = Tr.Elem1->Attribute;
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const int attr_plus = (Tr.Elem2 != nullptr) ? Tr.Elem2->Attribute : -1;
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constexpr int VACUUM_ATTR = 3;
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if (attr_minus == VACUUM_ATTR || attr_plus == VACUUM_ATTR) {
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return; // No flux contribution for vacuum faces
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}
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if (Tr.Elem2 == nullptr) {
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return; // Boundary face,
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}
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const mfem::Vector &v_dofs = *elfun[0]; // Size: dim * dof_v_minus + dim*dof_v_plus
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const mfem::Vector &rho_dofs = *elfun[1]; // Size: dof_rho_minus + dof_rho_plus
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// Helpers to auto offset to the correct point in the dof array
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auto rho_minus_dof = [&](const int i) { return rho_dofs(i); };
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auto rho_plus_dof = [&](const int i) { return rho_dofs(i + dof_rho_minus); };
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auto v_minus_dof = [&](const int k, const int c) { return v_dofs(k + c * dof_v_minus); };
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const int p_v = fe_v_minus->GetOrder();
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const int p_rho = fe_rho_minus->GetOrder();
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const int int_order = 2 * std::max(p_v, p_rho) + 1;
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const mfem::IntegrationRule *ir = &mfem::IntRules.Get(Tr.GetGeometryType(), int_order);
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mfem::Vector shape_v_minus(dof_v_minus), shape_rho_minus(dof_rho_minus), shape_rho_plus(dof_rho_plus);
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for (int q = 0; q < ir->GetNPoints(); ++q) {
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const mfem::IntegrationPoint &face_ip = ir->IntPoint(q);
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Tr.SetAllIntPoints(&face_ip);
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const mfem::IntegrationPoint &ip_minus = Tr.GetElement1IntPoint();
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const mfem::IntegrationPoint &ip_plus = Tr.GetElement2IntPoint();
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auto [n_unit, ds, v_dot_n_scale] = m_map.GetFaceQuadratureContext(Tr, face_ip);
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fe_v_minus->CalcShape(ip_minus, shape_v_minus);
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fe_rho_minus->CalcShape(ip_minus, shape_rho_minus);
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fe_rho_plus->CalcShape(ip_plus, shape_rho_plus);
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// v dot n
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// u_n = ∑ n_c * ∑ v_kc * φ_k
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double u_n = 0.0;
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for (int c = 0; c < dim; ++c) {
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double v_c = 0.0;
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for (int k = 0; k < dof_v_minus; ++k) {
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v_c += v_minus_dof(k, c) * shape_v_minus(k);
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}
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u_n += v_c * n_unit(c);
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}
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double rho_minus_val = 0.0;
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for (int i = 0; i < dof_rho_minus; ++i) {
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rho_minus_val += shape_rho_minus(i) * rho_minus_dof(i);
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}
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double rho_plus_val = 0.0;
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for (int i = 0; i < dof_rho_plus; ++i) {
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rho_plus_val += shape_rho_plus(i) * rho_plus_dof(i);
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}
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// Upwind density
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// I use the convention that the flow is positive when moving from
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// minus to plus
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const double rho_up = (u_n >= 0) ? rho_minus_val : rho_plus_val;
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const double flux_weighted = u_n * rho_up * ds;
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// Note the normals need to be in opposite directions for these two
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// fluxes
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for (int i = 0; i < dof_rho_minus; ++i) {
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r_rho(i) += shape_rho_minus(i) * flux_weighted;
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}
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for (int i = 0; i < dof_rho_plus; ++i) {
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r_rho(dof_rho_minus + i) -= shape_rho_plus(i) * flux_weighted;
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}
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}
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}
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void ContinuityFaceIntegrator::AssembleFaceGrad(
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const mfem::Array<const mfem::FiniteElement *> &el1,
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const mfem::Array<const mfem::FiniteElement *> &el2,
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mfem::FaceElementTransformations &Tr,
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const mfem::Array<const mfem::Vector *> &elfun,
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const mfem::Array2D<mfem::DenseMatrix *> &elmats
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) {
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const mfem::FiniteElement *fe_v_minus = el1[0];
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const mfem::FiniteElement *fe_v_plus = el2[0];
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const mfem::FiniteElement *fe_rho_minus = el1[1];
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const mfem::FiniteElement *fe_rho_plus = el2[1];
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const int dof_v_minus = fe_v_minus->GetDof();
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const int dof_v_plus = fe_v_plus->GetDof();
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const int dof_rho_minus = fe_rho_minus->GetDof();
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const int dof_rho_plus = fe_rho_plus->GetDof();
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const int dim = Tr.GetSpaceDim();
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const int N_v_total = dim * (dof_v_minus + dof_v_plus);
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const int N_rho_total = dof_rho_minus + dof_rho_plus;
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auto size_and_zero_mat = [&](mfem::DenseMatrix *mat, const int r_size, const int c_size) {
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if (mat) {
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mat->SetSize(r_size, c_size);
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*mat = 0.0;
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}
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};
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size_and_zero_mat(elmats(0, 0), N_v_total, N_v_total);
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size_and_zero_mat(elmats(0, 1), N_v_total, N_rho_total);
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size_and_zero_mat(elmats(1, 0), N_rho_total, N_v_total);
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size_and_zero_mat(elmats(1, 1), N_rho_total, N_rho_total);
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if (skip_face(Tr))
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return;
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mfem::DenseMatrix *drho_dv = elmats(1, 0);
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mfem::DenseMatrix *drho_drho = elmats(1, 1);
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if (!drho_dv && !drho_drho)
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return;
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const mfem::Vector &v_dofs = *elfun[0];
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const mfem::Vector &rho_dofs = *elfun[1];
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const int int_order = 2 * std::max(fe_v_minus->GetOrder(), fe_rho_minus->GetOrder()) + 1;
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const mfem::IntegrationRule *ir = &mfem::IntRules.Get(Tr.GetGeometryType(), int_order);
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mfem::Vector shape_v_minus(dof_v_minus), shape_rho_minus(dof_rho_minus), shape_rho_plus(dof_rho_plus);
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for (int q = 0; q < ir->GetNPoints(); ++q) {
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const mfem::IntegrationPoint &face_ip = ir->IntPoint(q);
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Tr.SetAllIntPoints(&face_ip);
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const mfem::IntegrationPoint &ip_minus = Tr.GetElement1IntPoint();
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const mfem::IntegrationPoint &ip_plus = Tr.GetElement2IntPoint();
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auto [n_unit, ds, v_dot_n_scale] = m_map.GetFaceQuadratureContext(Tr, face_ip);
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fe_v_minus->CalcShape(ip_minus, shape_v_minus);
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fe_rho_minus->CalcShape(ip_minus, shape_rho_minus);
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fe_rho_plus->CalcShape(ip_plus, shape_rho_plus);
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const double u_n = compute_u_n(v_dofs, shape_v_minus, n_unit, dof_v_minus, dim);
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double rho_minus_val = 0.0;
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for (int i = 0; i < dof_rho_minus; ++i) {
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rho_minus_val += shape_rho_minus(i) * rho_dofs(i);
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}
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double rho_plus_val = 0.0;
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for (int i = 0; i < dof_rho_plus; ++i) {
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rho_plus_val += shape_rho_plus(i) * rho_dofs(dof_rho_minus + i);
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}
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const bool upwind_minus = (u_n >= 0.0);
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const double rho_up = upwind_minus ? rho_minus_val : rho_plus_val;
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// (1, 1)
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if (drho_drho) {
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const double u_w = u_n * ds;
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if (upwind_minus) {
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for (int ip = 0; ip < dof_rho_minus; ++ip) {
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const double col_w = u_w * shape_rho_minus(ip);
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for (int i = 0; i < dof_rho_minus; ++i) {
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(*drho_drho)(i, ip) += shape_rho_minus(i) * col_w;
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}
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for (int j = 0; j < dof_rho_plus; ++j) {
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(*drho_drho)(dof_rho_minus + j, ip) -= shape_rho_plus(j) * col_w;
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}
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}
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} else {
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for (int jp = 0; jp < dof_rho_plus; ++jp) {
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const double col_w = u_w * shape_rho_plus(jp);
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const int col_idx = dof_rho_minus + jp;
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for (int i = 0; i < dof_rho_minus; ++i) {
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(*drho_drho)(i, col_idx) += shape_rho_minus(i) * col_w;
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}
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for (int j = 0; j < dof_rho_plus; ++j) {
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(*drho_drho)(dof_rho_minus + j, col_idx) -= shape_rho_plus(j) * col_w;
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}
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}
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}
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}
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// (1, 0)
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if (drho_dv) {
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const double rho_w = rho_up * ds;
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for (int c = 0; c < dim; ++c) {
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const double n_c_rho_w = n_unit(c) * rho_w;
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for (int k = 0; k < dof_v_minus; ++k) {
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const int col_idx = k + c * dof_v_minus;
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const double col_w = n_c_rho_w * shape_v_minus(k);
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for (int i = 0; i < dof_rho_minus; ++i) {
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(*drho_dv)(i, col_idx) += shape_rho_minus(i) * col_w;
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}
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for (int j = 0; j < dof_rho_plus; ++j) {
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(*drho_dv)(dof_rho_minus + j, col_idx) -= shape_rho_plus(j) * col_w;
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}
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}
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}
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}
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}
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}
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bool ContinuityFaceIntegrator::skip_face(const mfem::FaceElementTransformations &Tr) {
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constexpr int VACUUM_ATTR = 3;
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const int attr_minus = Tr.Elem1->Attribute;
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const int attr_plus = (Tr.Elem2 != nullptr) ? Tr.Elem2->Attribute : -1;
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if (attr_minus == VACUUM_ATTR || attr_plus == VACUUM_ATTR) {
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return true; // No flux contribution for vacuum faces
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}
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if (Tr.Elem2 == nullptr) {
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return true; // Boundary face,
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}
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return false;
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}
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double ContinuityFaceIntegrator::compute_u_n(
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const mfem::Vector &v_dofs,
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const mfem::Vector &shape_v_minus,
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const mfem::Vector &n_unit,
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int dof_v_minus,
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int dim
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) {
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double u_n = 0.0;
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for (int c = 0; c < dim; ++c) {
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double v_c = 0.0;
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for (int k = 0; k < dof_v_minus; ++k) {
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v_c += v_dofs(k + c * dof_v_minus) * shape_v_minus(k);
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}
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u_n += v_c * n_unit(c);
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}
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return u_n;
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}
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} // namespace mean_field::integrators
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