feat(newton): first newton solver implementation

This commit is contained in:
2026-09-08 06:36:39 -04:00
parent 76818f2f82
commit b3c04d507a
98 changed files with 20397 additions and 11040 deletions

View File

@@ -3,6 +3,7 @@ module;
#include <concepts>
#include <cstddef>
#include <cstdint>
#include <expected>
#include <memory>
#include <type_traits>
#include <utility>
@@ -28,12 +29,11 @@ export namespace mean_field::equilibrium {
static constexpr bool complete = false;
};
template <model::StellarModelType Model>
struct StellarSurfaceCompilationAudit<Model, true> {
template <model::StellarModelType Model> struct StellarSurfaceCompilationAudit<Model, true> {
private:
using ModelType = std::remove_cvref_t<Model>;
using EquationOfState = typename ModelType::EquationOfStateType;
using Form = operators::CompiledStellarEquilibriumForm<ModelType>;
using ModelType = std::remove_cvref_t<Model>;
using EquationOfState = typename ModelType::EquationOfStateType;
using Form = operators::CompiledStellarEquilibriumForm<ModelType>;
using AvailableEquations = material::StellarEquilibriumThermodynamicEquations;
static constexpr bool thermodynamicsCompilable =
@@ -46,14 +46,12 @@ export namespace mean_field::equilibrium {
} else {
using ThermodynamicEquations =
material::CompiledThermodynamicEquationsT<EquationOfState, Form, AvailableEquations>;
using Formulation = typename ThermodynamicEquations::PressureSurfaceFormulation;
using CompiledSurface =
surface::CompiledPressureSurfaceConstraintT<Formulation, EquationOfState>;
using Formulation = typename ThermodynamicEquations::PressureSurfaceFormulation;
using CompiledSurface = surface::CompiledPressureSurfaceConstraintT<Formulation, EquationOfState>;
return requires(const ModelType &model) {
{
surface::compilePressureSurfaceConstraint<Formulation>(
model.surfaceCondition(),
model.equationOfState()
model.surfaceCondition(), model.equationOfState()
)
} -> std::same_as<CompiledSurface>;
};
@@ -77,8 +75,7 @@ export namespace mean_field::equilibrium {
requires operators::StellarEquilibriumSystemCompilable<std::remove_cvref_t<Candidate>>;
requires hasStellarEquilibriumSurfaceCompilation<std::remove_cvref_t<Candidate>>;
requires operators::CompilableRootManifestFor<
std::remove_cvref_t<Candidate>,
operators::CompiledStellarEquilibriumForm<std::remove_cvref_t<Candidate>>>;
std::remove_cvref_t<Candidate>, operators::CompiledStellarEquilibriumForm<std::remove_cvref_t<Candidate>>>;
requires operators::hasStellarEquilibriumCoreRuntime<std::remove_cvref_t<Candidate>>;
requires operators::hasCompleteStellarEquilibriumRuntime<std::remove_cvref_t<Candidate>>;
requires operators::stellarEquilibriumRotationProviderCount<std::remove_cvref_t<Candidate>> <= 1;
@@ -105,19 +102,16 @@ export namespace mean_field::equilibrium {
operators::StellarEquilibriumPhysicalCoreType<std::remove_cvref_t<Model>>,
typename std::remove_cvref_t<Model>::SpecificationTypes>> { };
struct StellarEquilibriumProblemFactory;
} // namespace detail
template <
StellarEquilibriumModel Model,
StellarDiscretizationType Discretization = StellarDiscretization>
template <StellarEquilibriumModel Model, StellarDiscretizationType Discretization = StellarDiscretization>
requires detail::StellarEquilibriumModelDiscretizationStructureAudit<
std::remove_cvref_t<Model>,
std::remove_cvref_t<Discretization>>::value
class StellarEquilibriumProblem final {
public:
using ModelType = std::remove_cvref_t<Model>;
using DiscretizationType = std::remove_cvref_t<Discretization>;
using ModelType = std::remove_cvref_t<Model>;
using DiscretizationType = std::remove_cvref_t<Discretization>;
using NormalizationPrescriptionType = typename DiscretizationType::NormalizationPrescriptionType;
static constexpr bool hasFixedCentralDensity =
@@ -128,13 +122,15 @@ export namespace mean_field::equilibrium {
operators::stellarEquilibriumRotationProviderCount<ModelType>;
static constexpr bool symbolicallySquare = ModelType::symbolicallySquare;
using PreparedOperatorType = operators::PreparedVariadicStellarEquilibriumOperator<ModelType>;
using PhysicalCoreType = typename PreparedOperatorType::PhysicalCoreType;
using FormType = operators::CompiledStellarEquilibriumForm<ModelType>;
using JacobianFormType = operators::CompiledStellarEquilibriumJacobianForm<ModelType>;
using ManifestType = operators::EquilibriumSystemManifest<ModelType, FormType, JacobianFormType>;
using EquationOfStateType = model::EquationOfStateType<ModelType>;
using SurfaceConditionType = model::SurfaceConditionType<ModelType>;
using PreparedOperatorType = operators::PreparedVariadicStellarEquilibriumOperator<ModelType>;
using Report = typename PreparedOperatorType::Report;
using PreparationResult = typename PreparedOperatorType::PreparationResult;
using PhysicalCoreType = typename PreparedOperatorType::PhysicalCoreType;
using FormType = operators::CompiledStellarEquilibriumForm<ModelType>;
using JacobianFormType = operators::CompiledStellarEquilibriumJacobianForm<ModelType>;
using ManifestType = operators::EquilibriumSystemManifest<ModelType, FormType, JacobianFormType>;
using EquationOfStateType = model::EquationOfStateType<ModelType>;
using SurfaceConditionType = model::SurfaceConditionType<ModelType>;
using AvailableThermodynamicEquations = material::StellarEquilibriumThermodynamicEquations;
using ThermodynamicEquationsType =
material::CompiledThermodynamicEquationsT<EquationOfStateType, FormType, AvailableThermodynamicEquations>;
@@ -147,17 +143,18 @@ export namespace mean_field::equilibrium {
StellarEquilibriumProblem(
ModelType stellarModel,
DiscretizationType discretization
DiscretizationType discretization,
fem::FEM &finiteElementModel
)
: m_stellarModel(std::make_shared<ModelType>(std::move(stellarModel))),
m_discretization(std::move(discretization)),
m_compiledSurfaceConstraint(CompileSurfaceConstraint(*m_stellarModel)),
m_preparedOperator(
m_discretization.finiteElementModel(),
finiteElementModel,
m_discretization.domainMapper(),
m_stellarModel,
operators::PressureSurfaceConstraintView{m_compiledSurfaceConstraint},
CompileDefaultDomainDeformation(m_discretization.finiteElementModel())
CompileDefaultDomainDeformation(finiteElementModel)
) {
VerifyProblem();
}
@@ -176,6 +173,12 @@ export namespace mean_field::equilibrium {
return m_discretization;
}
[[nodiscard]] MPI_Comm GetCommunicator() const & {
return m_discretization.communicator();
}
[[nodiscard]] MPI_Comm GetCommunicator() const && = delete;
[[nodiscard]] const NormalizationPrescriptionType &GetNormalizationPrescription() const noexcept {
return m_discretization.normalizationPrescription();
}
@@ -236,21 +239,54 @@ export namespace mean_field::equilibrium {
const mfem::Vector &state,
const operators::StellarEquilibriumDependencies &dependencies,
const physics::RigidRotation &rotation
) requires(generatedRotationProviderCount == 0) {
)
requires(generatedRotationProviderCount == 0)
{
auto report = m_preparedOperator.Prepare(state, dependencies, rotation);
++m_preparationGeneration;
return report;
}
[[nodiscard]] PreparationResult TryPrepare(
const mfem::Vector &state,
const operators::StellarEquilibriumDependencies &dependencies,
const physics::RigidRotation &rotation
)
requires(generatedRotationProviderCount == 0)
{
auto result = m_preparedOperator.TryPrepare(state, dependencies, rotation);
if (!result.has_value()) {
return std::unexpected(result.error());
}
++m_preparationGeneration;
return result;
}
[[nodiscard]] auto Prepare(
const mfem::Vector &state,
const operators::StellarEquilibriumDependencies &dependencies
) requires(generatedRotationProviderCount == 1) {
)
requires(generatedRotationProviderCount == 1)
{
auto report = m_preparedOperator.Prepare(state, dependencies);
++m_preparationGeneration;
return report;
}
[[nodiscard]] PreparationResult TryPrepare(
const mfem::Vector &state,
const operators::StellarEquilibriumDependencies &dependencies
)
requires(generatedRotationProviderCount == 1)
{
auto result = m_preparedOperator.TryPrepare(state, dependencies);
if (!result.has_value()) {
return std::unexpected(result.error());
}
++m_preparationGeneration;
return result;
}
void BuildResidual(mfem::Vector &residual) const {
m_preparedOperator.BuildResidual(residual);
}
@@ -266,8 +302,7 @@ export namespace mean_field::equilibrium {
[[nodiscard]] static CompiledSurfaceConstraintType CompileSurfaceConstraint(const ModelType &stellarModel) {
return surface::compilePressureSurfaceConstraint<
typename ThermodynamicEquationsType::PressureSurfaceFormulation>(
stellarModel.surfaceCondition(),
stellarModel.equationOfState()
stellarModel.surfaceCondition(), stellarModel.equationOfState()
);
}
@@ -318,28 +353,25 @@ export namespace mean_field::equilibrium {
template <
typename Model,
typename Discretization,
bool StructurallyCompatible =
StellarEquilibriumModelDiscretizationStructureAudit<
std::remove_cvref_t<Model>,
std::remove_cvref_t<Discretization>>::value>
bool StructurallyCompatible = StellarEquilibriumModelDiscretizationStructureAudit<
std::remove_cvref_t<Model>,
std::remove_cvref_t<Discretization>>::value>
struct StellarEquilibriumModelDiscretizationOperationAudit : std::false_type { };
template <typename Model, typename Discretization>
struct StellarEquilibriumModelDiscretizationOperationAudit<
Model,
Discretization,
true> {
struct StellarEquilibriumModelDiscretizationOperationAudit<Model, Discretization, true> {
private:
using ModelType = std::remove_cvref_t<Model>;
using ModelType = std::remove_cvref_t<Model>;
using DiscretizationType = std::remove_cvref_t<Discretization>;
using Problem = StellarEquilibriumProblem<ModelType, DiscretizationType>;
using Prescription = typename DiscretizationType::NormalizationPrescriptionType;
using Problem = StellarEquilibriumProblem<ModelType, DiscretizationType>;
using Prescription = typename DiscretizationType::NormalizationPrescriptionType;
public:
static constexpr bool value = [] {
if constexpr (
std::same_as<Prescription, normalization::Unnormalized> ||
normalization::PhysicalRieszDiagonalPrescription<Prescription>) {
normalization::PhysicalRieszDiagonalPrescription<Prescription>
) {
return true;
} else {
return normalization::RuntimePreparedNormalizationOperation<Problem>;
@@ -362,46 +394,99 @@ export namespace mean_field::equilibrium {
std::remove_cvref_t<Model>,
std::remove_cvref_t<Discretization>>::value;
namespace detail {
/* The structurally formed problem type is needed to probe the ADL
* operation without a recursive concept. Its constructor remains
* private, and this factory is the single construction authority after
* the complete public compatibility contract has succeeded. */
struct StellarEquilibriumProblemFactory final {
template <StellarEquilibriumModel Model, StellarDiscretizationType Discretization>
requires StellarEquilibriumModelDiscretizationCompatible<Model, Discretization>
[[nodiscard]] static auto Create(
Model &&stellarModel,
Discretization discretization
) {
using ModelType = std::remove_cvref_t<Model>;
using DiscretizationType = std::remove_cvref_t<Discretization>;
return StellarEquilibriumProblem<ModelType, DiscretizationType>{
std::forward<Model>(stellarModel),
std::move(discretization)
};
}
};
} // namespace detail
} // namespace mean_field::equilibrium
template <StellarEquilibriumModel Model, StellarDiscretizationType Discretization>
requires StellarEquilibriumModelDiscretizationCompatible<Model, Discretization>
namespace mean_field::equilibrium::detail {
/* The structurally formed problem type is needed to probe the ADL
* operation without a recursive concept. Its constructor remains
* private, and this factory is the single construction authority after
* the complete public compatibility contract has succeeded. */
struct StellarEquilibriumProblemFactory final {
template <
StellarEquilibriumModel Model,
StellarDiscretizationType Discretization>
requires StellarEquilibriumModelDiscretizationCompatible<
Model,
Discretization>
[[nodiscard]] static auto Create(
Model &&stellarModel,
Discretization discretization
) {
using ModelType = std::remove_cvref_t<Model>;
using DiscretizationType = std::remove_cvref_t<Discretization>;
fem::FEM &finiteElementModel = discretization.MutableFiniteElementModelForAssembly();
return StellarEquilibriumProblem<ModelType, DiscretizationType>{
std::forward<Model>(stellarModel), std::move(discretization), finiteElementModel
};
}
template <
StellarEquilibriumModel Model,
StellarDiscretizationType Discretization>
requires StellarEquilibriumModelDiscretizationCompatible<
Model,
Discretization>
[[nodiscard]] static auto CreateOwned(
Model &&stellarModel,
Discretization discretization
) {
using ModelType = std::remove_cvref_t<Model>;
using DiscretizationType = std::remove_cvref_t<Discretization>;
using ProblemType = StellarEquilibriumProblem<ModelType, DiscretizationType>;
fem::FEM &finiteElementModel = discretization.MutableFiniteElementModelForAssembly();
return std::unique_ptr<ProblemType>{
new ProblemType{std::forward<Model>(stellarModel), std::move(discretization), finiteElementModel}
};
}
template <DiscretizedStellarEquilibriumProblem Problem>
[[nodiscard]] static fem::FEM &MutableFiniteElementModelForProjection(Problem &problem) {
return problem.m_discretization.MutableFiniteElementModelForAssembly();
}
template <DiscretizedStellarEquilibriumProblem Problem>
[[nodiscard]] static const fem::FEM &FiniteElementModel(const Problem &problem) {
return problem.m_discretization.RequireFiniteElementModel();
}
};
} // namespace mean_field::equilibrium::detail
export namespace mean_field::equilibrium {
template <
StellarEquilibriumModel Model,
StellarDiscretizationType Discretization>
requires StellarEquilibriumModelDiscretizationCompatible<
Model,
Discretization>
[[nodiscard]] auto discretize(
Model &&stellarModel,
Discretization discretization
) {
return detail::StellarEquilibriumProblemFactory::Create(
std::forward<Model>(stellarModel),
std::move(discretization)
std::forward<Model>(stellarModel), std::move(discretization)
);
}
template <StellarEquilibriumModel Model>
requires StellarEquilibriumModelDiscretizationCompatible<Model, StellarDiscretization>
requires StellarEquilibriumModelDiscretizationCompatible<
Model,
StellarDiscretization>
[[nodiscard]] auto discretize(
Model &&stellarModel,
fem::FEM &finiteElementModel
fem::FEM &&finiteElementModel
) {
return discretize(std::forward<Model>(stellarModel), StellarDiscretization{finiteElementModel});
return discretize(std::forward<Model>(stellarModel), StellarDiscretization{std::move(finiteElementModel)});
}
template <StellarEquilibriumModel Model>
requires StellarEquilibriumModelDiscretizationCompatible<
Model,
StellarDiscretization>
StellarEquilibriumProblem<
std::remove_cvref_t<Model>,
StellarDiscretization>
discretize(
Model &&,
fem::FEM &
) = delete;
} // namespace mean_field::equilibrium