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ImmersX: embedded & mixed-dimensional simulation framework
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ImmersX: embedded & mixed-dimensional simulation framework
  • Getting started
    • Installation and build
    • Containers
    • First run: Poisson
  • Tutorials
    • Basic problems
      • Poisson: your first ImmersX simulation
      • Static elasticity
      • Elastodynamics
      • Navier–Stokes
    • Immersed and coupled problems
      • Reduced Poisson
      • Coupled Poisson
      • Coupled Poisson–elasticity
      • Vascular-tree elasticity
      • Generate vascular trees in uniform and locally refined domains
      • Vascularize a liver from a surface and two 1D trees
    • Fiber reinforcement
      • Fiber-reinforced elastodynamics
      • Harmonic reinforcement with or without a lift
      • A 1D fiber in a 3D matrix under harmonic traction
    • MetricFlowX coupling
      • Elastostatic coupling walkthrough
      • MetricFlowX and elastodynamics
      • One vessel in a cube: a manufactured solution
  • How-to guides
    • Run an application
    • Configure a parameter file
    • Choose boundary conditions
    • Imported finite-element fields
    • Configure reduced coupling
    • Solve Poisson with a lifted modal multiplier
    • Compose static elasticity with a modal surface lift
    • Choose where a weak term is integrated
    • Integrate over a lifted geometry
    • Local co-refinement of two domains
    • Generate a physical vascular network
    • Visualize vessel areas as tubes in ParaView
    • Build a volume domain from a surface
  • Concepts
    • Overview
    • Mathematical background
    • Architecture concepts
    • MetricFlowX and elastodynamics coupling
  • Reference
    • Application reference
    • Parameter-file reference
    • Constraint and vessel API names
    • Robin boundary conditions across applications
    • Verification inputs
    • C++ API
      • Namespace ImmersX
      • Namespace ImmersX::detail
      • Namespace ImmersX::elastic_static_detail
      • Namespace ImmersX::harmonic_detail
      • Namespace ImmersX::ImmersXLA
      • Namespace ImmersX::internal
      • Namespace ImmersX::LegacyInclusions
      • Namespace ImmersX::navier_stokes_detail
      • Namespace ImmersX::ReducedFieldUtils
      • Namespace ImmersX::robin_detail
      • Namespace ImmersX::semidiscrete_detail
      • Namespace ImmersX::UtilitiesAL
      • Namespace ImmersX::Vascularization
      • Struct BoundaryConditions::State
      • Struct BoundaryConditions::Target
      • Template Struct BoundaryConormalDirection
      • Template Struct BoundaryNormalDirection
      • Struct BoundaryNormalObservable::operation_type
      • Template Struct BoundaryTangentDirection
      • Template Struct ConstraintFields
      • Template Struct ConstraintSum::Entry
      • Template Struct ConstraintSum::MakeEntryVariant
      • Template Struct CouplingPoint
      • Struct CurlOperation
      • Struct DivergenceOperation
      • Struct ExecutionComposition::CachedSecondOrderPreconditioner
      • Struct ExecutionComposition::Snapshot
      • Struct ExecutionComposition::StateSnapshot
      • Struct ExecutionComposition::StaticSchurOperators
      • Struct GradientOperation
      • Template Struct has_distributed_matrix_reinit
      • Template Struct has_distributed_partitions
      • Template Struct has_distributed_reinit
      • Template Struct has_in_place_transpose
      • Template Struct has_index_set_vector_reinit
      • Template Struct has_linear_cached_trial
      • Template Struct has_linear_cached_trial< LiftedObservable< Source, dim, surface_dim, spacedim, components > >
      • Template Struct has_matrix_compress
      • Template Struct has_raw_tensor_access
      • Template Struct has_reinit_and_copy_from
      • Template Struct has_reinit_dimensions
      • Template Struct has_set_time
      • Template Struct has_sparse_reinit
      • Template Struct has_support_source_cell_id
      • Template Struct has_support_triangulation
      • Template Struct has_transpose_apply
      • Template Struct has_vector_compress
      • Template Struct is_boundary_normal_observable
      • Template Struct is_boundary_normal_observable< BoundaryNormalObservable< ObservableType, Direction > >
      • Template Struct is_field
      • Template Struct is_field< Field< dim, spacedim, Extractor > >
      • Template Struct is_known_source
      • Template Struct is_known_source< KnownSource< Value, spacedim > >
      • Template Struct is_lifted_observable
      • Template Struct is_lifted_observable< LiftedObservable< SourceObservable, reduced_dim, surface_dim, spacedim, n_components > >
      • Template Struct is_lifted_observable< ModalLiftedObservable< FieldType > >
      • Template Struct is_lifted_observable< TestLiftedObservable< LiftedObservableType > >
      • Template Struct is_linear_observable
      • Template Struct is_linear_observable< BoundaryNormalObservable< ObservableType, Direction > >
      • Template Struct is_linear_observable< Observable< SourceFieldType, Operation > >
      • Template Struct is_observable
      • Template Struct is_observable< BoundaryNormalObservable< ObservableType, Direction > >
      • Template Struct is_observable< LiftedObservable< SourceObservable, reduced_dim, surface_dim, spacedim, n_components > >
      • Template Struct is_observable< ModalLiftedObservable< FieldType > >
      • Template Struct is_observable< Observable< SourceFieldType, Operation > >
      • Template Struct is_supported_operation
      • Template Struct is_tensor
      • Template Struct is_test_expression
      • Template Struct is_test_expression< TestExpression< SourceFieldType, Operation > >
      • Template Struct is_test_expression< TestLiftedObservable< LiftedObservableType > >
      • Template Struct is_transformed_observable
      • Template Struct is_weak_term
      • Template Struct is_weak_term< WeakTerm< ObservableType, TargetField, Support > >
      • Template Struct LiftedSourceStencil
      • Template Struct LiftedTargetWeakAssembly
      • Template Struct LiftedTargetWeakAssembly::MatrixStorage
      • Template Struct LiftedWeakAssembly
      • Template Struct NonlinearWeakAssembly
      • Struct CellInputCache::Entry
      • Template Struct NonlinearWeakAssembly::has_distributed_reinit
      • Template Struct NonlinearWeakAssembly::MatrixStorage
      • Template Struct NonlinearWeakAssembly::PhysicalSupportQuadrature
      • Struct OverlapCellQuadrature
      • Template Struct support_triangulation_dimension
      • Struct SymmetricGradientOperation
      • Struct ValueOperation
      • Template Struct WeakAffineAssembly
      • Template Struct WeakAssembly
      • Template Struct WeakAssembly::MatrixStorage
      • Template Struct WeakAssembly::PreparedMatrix
      • Struct WeakAssembly::ScratchData
      • Struct DimensionParameters
      • Template Struct ElasticityFreqFields
      • Template Struct ElasticStaticFields
      • Template Struct ElastodynamicsFields
      • Struct ElastodynamicsMaterialCoefficients
      • Struct ElastodynamicsSolver::AssemblyStatistics
      • Struct FiberReinforcedElastodynamicsResiduals
      • Struct Field::ExecutionLayout
      • Struct FieldDescriptor
      • Struct ReinforcementSupport::Point
      • Struct SurrogateOptions
      • Struct SurrogatePreconditioner
      • Struct IDAToleranceRamp
      • Template Struct ImmersedRepartitionerStorage
      • Template Struct ImmersedRepartitionerStorage< 0, spacedim >
      • Struct ImportedFiniteElementFields::Storage
      • Struct InferredIntegrationSupport
      • Struct InputFieldBinding
      • Template Struct is_integration_support
      • Template Struct is_integration_support< IntegrationSupport< dim, spacedim > >
      • Template Struct is_physical_quadrature_support
      • Template Struct IsotropicElasticityTerm
      • Template Struct IsotropicElasticStress
      • Template Struct KnownTermContext
      • Struct KnownTermRegion
      • Template Struct LiftedElasticityParameters
      • Template Struct LiftedIntegrationPoint
      • Struct LiftedIntegrationSupport::Cache
      • Template Struct LiftedModalInteraction
      • Struct LiftedPoissonParameters
      • Struct LinearAdapterParameters
      • Template Struct LinearHistoryInterpolation
      • Template Struct LinearHistoryInterpolation< double >
      • Struct LocalCoRefinementReport
      • Template Struct MaterializedOperator
      • Struct MaterialProperties
      • Template Struct NavierStokesFields
      • Struct OutputHandler::RegisteredField
      • Struct OutputHandlerParameters
      • Template Struct OverlapIntegrationSupports
      • Struct OverlapMaterialIds
      • Template Struct PointCloud
      • Template Struct PoissonFields
      • Struct ReducedFieldDescriptor
      • Template Struct RefinementParameters
      • Template Struct RefinementParameters< 0 >
      • Template Struct SaddlePointMetadata
      • Struct SecondOrderPair
      • Struct SecondOrderPreconditionerData
      • Struct SemiDiscreteModel::OperatorEntry
      • Struct SemiDiscreteModel::ResidualEntry
      • Struct StateHistory::Snapshot
      • Template Struct TensorProductLiftParameters
      • Template Struct TensorProductLiftPoint
      • Template Struct TensorProductSpaceParameters
      • Struct ApplicationParameters
      • Struct CalibrationAttempt
      • Struct CalibrationParameters
      • Struct CalibrationReport
      • Struct CompanionParameters
      • Struct CoverageParameters
      • Struct DiscretizationCell
      • Struct DiscretizationParameters
      • Struct DiscretizationResult
      • Struct GenerationResult
      • Struct GrowthStatistics
      • Struct GrowthWork
      • Struct MeshLengthScale
      • Struct NetworkArchive
      • Struct NetworkData
      • Struct Node
      • Struct Parameters
      • Struct ReferenceConditions
      • Struct ReferenceParameters
      • Struct ReferenceResult
      • Struct ScaledVesselMeasure
      • Struct Terminal
      • Struct TerminalPair
      • Struct TerminalTriplet
      • Struct Territory
      • Struct TerritoryReference
      • Struct TissueIntegrationParameters
      • Struct TissueMetrics
      • Struct ValidationIssue
      • Struct ValidationReport
      • Struct Vessel
      • Struct VesselCell
      • Struct VesselReference
      • Template Struct WeakTerm::Pairing
      • Struct WeakTermRegion
      • Template Class AlgebraicFieldContributor
      • Template Class BlockPreconditionerAugmentedLagrangian
      • Template Class BoundaryConditions
      • Template Class BoundaryIntegrationSupport
      • Template Class BoundaryNormalObservable
      • Template Class Constraint
      • Template Class ConstraintSum
      • Template Class CoupledElasticityProblem
      • Class CumulativeReductionControl
      • Class CumulativeSolverControl
      • Template Class BlockFieldLayout
      • Template Class ExecutionComposition
      • Template Class NonlinearWeakAssembly::CellInputCache
      • Template Class DistributedLiftedQuadrature
      • Template Class Domain
      • Template Class DomainParameters
      • Template Class ElasticityExplicit
      • Template Class ElasticityFreqProblem
      • Template Class ElasticityFreqProblemParameters
      • Template Class ElasticityProblem
      • Template Class ElasticityProblemParameters
      • Template Class ElasticStaticParameters
      • Template Class ElasticStaticProblem
      • Class ElastodynamicsMaterialParameters
      • Template Class ElastodynamicsParameters
      • Template Class ElastodynamicsSolver
      • Template Class EvaluationContext
      • Template Class FiberReinforcedElasticityFreq
      • Template Class FiberReinforcedElasticityFreqParameters
      • Template Class FiberReinforcedElastodynamics
      • Template Class FiberReinforcedElastodynamicsParameters
      • Template Class Field
      • Class FieldId
      • Template Class FiniteElementSpace
      • Template Class FiniteElementSpaceParameters
      • Template Class FiniteElementSpaceView
      • Template Class FiniteElementSubspaceView
      • Class FixedStepParameters
      • Template Class ReinforcementSupport
      • Class HistoryGroupId
      • Class IDAParameters
      • Template Class ImmersedRepartitioner
      • Template Class ImportedFiniteElementFields
      • Class ImportedFiniteElementFields::FieldView
      • Template Class Inclusions
      • Class InputFieldSelector
      • Template Class IntegrationSupport
      • Template Class KnownSource
      • Template Class KnownTerm
      • Template Class LagrangeMultiplierConstraintSolver
      • Class LagrangeMultiplierConstraintSolver::SchurComplementOperator
      • Template Class LagrangeMultiplierSchurSolver
      • Class LagrangeMultiplierSchurSolver::SchurComplementOperator
      • Template Class LiftedElasticity
      • Template Class LiftedIntegrationSupport
      • Template Class LiftedMultiplierInteraction
      • Template Class LiftedObservable
      • Class LiftedPoissonOutputState
      • Template Class LinearAdapter
      • Template Class LocalCoRefinement
      • Template Class MatrixFreeCouplingOperator
      • Template Class ModalLiftedObservable
      • Template Class ModulatedParsedFunction
      • Template Class NavierStokesParameters
      • Template Class NavierStokesSolver
      • Template Class NormalGeometry
      • Template Class NormalQuantity
      • Template Class NormalWeakTerm
      • Template Class Observable
      • Template Class OutputHandler
      • Template Class OverlapContinuityConstraint
      • Template Class ParticleCoupling
      • Template Class ParticleCouplingParameters
      • Template Class PoissonParameters
      • Template Class PoissonProblem
      • Template Class PoissonSolver
      • Template Class ProblemHandle
      • Template Class ProblemParameters
      • Template Class ReducedCoupling
      • Template Class ReducedCouplingParameters
      • Template Class ReducedFieldValues
      • Template Class ReducedPoisson
      • Template Class ReducedPoissonParameters
      • Template Class ReferenceCrossSection
      • Template Class ReferenceCrossSectionParameters
      • Template Class RigidBodyMotion
      • Template Class SecondOrderBlockPreconditioner
      • Template Class SemidiscreteBuilder
      • Template Class SemiDiscreteModel
      • Template Class SemidiscreteTerm
      • Template Class StateAccessor
      • Template Class StateHistory
      • Template Class StateHistoryRegistry
      • Class StateLayout
      • Template Class StateView
      • Class SymbolicExpressionKernel
      • Class SymbolicFieldEvaluator
      • Template Class TensorProductLift
      • Template Class TensorProductLiftSupport
      • Template Class TensorProductSpace
      • Template Class TensorProductSpace< 0, dim, spacedim, n_components >
      • Class TermSelection
      • Template Class TestExpression
      • Template Class TestLiftedObservable
      • Class TimeIntervalParameters
      • Class TimeParameters
      • Template Class BlockPreconditionerAugmentedLagrangian
      • Template Class WeakTerm
      • Enum CouplingType
      • Enum ElasticityModel
      • Enum FieldAssociation
      • Enum LinearPreconditioner
      • Enum LinearSolver
      • Enum PointCloudDistribution
      • Enum TermTreatment
      • Enum TimeMode
      • Enum CalibrationStatus
      • Enum GrowthOperation
      • Enum LengthScalePolicy
      • Enum Port
      • Enum Provenance
      • Enum System
      • Template Function ImmersX::adjust_grids
      • Template Function ImmersX::affine_field_term
      • Template Function ImmersX::algebraic_field
      • Template Function ImmersX::curl(const FieldType&)
      • Template Function ImmersX::curl(const Observable<SourceFieldType, Operation>&)
      • Template Function ImmersX::curl(const TestExpression<SourceFieldType, Operation>&)
      • Function ImmersX::declare_dimension_parameters
      • Template Function ImmersX::detail::add_modal_outside_mass
      • Template Function ImmersX::detail::apply_stencils(const std::vector<PointType>&, const std::vector<TargetIndexType>&, const dealii::IndexSet&, const dealii::IndexSet&, const dealii::AffineConstraints<double> *, const MPI_Comm, const SourceVectorType&, TargetVectorType&, DofIndices, Coefficient, const bool, const bool)
      • Template Function ImmersX::detail::apply_stencils(const std::vector<PointType>&, const std::vector<TargetIndexType>&, const dealii::IndexSet&, const dealii::IndexSet&, const dealii::IndexSet&, const dealii::IndexSet&, const dealii::AffineConstraints<double> *, const MPI_Comm, const SourceVectorType&, TargetVectorType&, DofIndices, Coefficient, const bool, const bool)
      • Template Function ImmersX::detail::apply_stencils_transpose
      • Template Function ImmersX::detail::apply_tensor_product_lift(const std::vector<PointType>&, const std::vector<IndexType>&, const std::vector<std::vector<IndexType>>&, const VectorType&, VectorType&, const bool, const bool)
      • Template Function ImmersX::detail::apply_tensor_product_lift(const std::vector<PointType>&, const std::vector<IndexType>&, const std::vector<std::vector<IndexType>>&, const VectorType&, VectorType&, const bool, const bool, const dealii::IndexSet&, const dealii::IndexSet&, const MPI_Comm)
      • Template Function ImmersX::detail::assemble_modal_gram
      • Template Function ImmersX::detail::assert_homogeneous_weak_constraints
      • Template Function ImmersX::detail::assert_lifted_support_matches
      • Template Function ImmersX::detail::assert_locally_uniform_reference_cells
      • Template Function ImmersX::detail::assert_uniform_reference_cells
      • Function ImmersX::detail::check_replicated_matrix_size
      • Template Function ImmersX::detail::clone_matrix
      • Template Function ImmersX::detail::compress_weak_matrix
      • Template Function ImmersX::detail::compress_weak_vector
      • Template Function ImmersX::detail::constraint_entry_index
      • Template Function ImmersX::detail::copy_matrix
      • Template Function ImmersX::detail::evaluate_stencil(const VectorType&, const std::vector<dealii::types::global_dof_index>&, const std::vector<double>&)
      • Template Function ImmersX::detail::evaluate_stencil(const VectorType&, const PointType&, DofIndices, Coefficient)
      • Template Function ImmersX::detail::flatten_value
      • Template Function ImmersX::detail::initialize_weak_matrix
      • Template Function ImmersX::detail::initialize_weak_vector
      • Template Function ImmersX::detail::local_physical_reference_cells
      • Template Function ImmersX::detail::make_matrix_with_sparsity
      • Template Function ImmersX::detail::make_multiplier_metric
      • Template Function ImmersX::detail::make_normal_load_operator
      • Template Function ImmersX::detail::make_relevant_stencil_source
      • Template Function ImmersX::detail::make_sparsity
      • Template Function ImmersX::detail::make_tensor_product_quadrature
      • Template Function ImmersX::detail::make_transformed_observable
      • Template Function ImmersX::detail::materialize_replicated_operator
      • Template Function ImmersX::detail::n_stored_components
      • Function ImmersX::detail::normalize_lift_subsection
      • Template Function ImmersX::detail::reference_to_physical_rotation
      • Template Function ImmersX::detail::reinit_known_vector
      • Template Function ImmersX::detail::replicated_vector_operator
      • Function ImmersX::detail::report_retained_quadrature_points_once
      • Template Function ImmersX::detail::set_function_time
      • Template Function ImmersX::detail::set_matrix_values
      • Template Function ImmersX::detail::sum_matrices
      • Template Function ImmersX::detail::support_lifted_point
      • Template Function ImmersX::detail::support_point_weight
      • Template Function ImmersX::detail::support_quadrature
      • Template Function ImmersX::detail::transform_representative_point
      • Template Function ImmersX::detail::transpose_matrix
      • Template Function ImmersX::detail::unflatten_value
      • Template Function ImmersX::detail::uniform_reference_cell
      • Template Function ImmersX::detail::weak_vector_is_zero
      • Template Function ImmersX::divergence(const FieldType&)
      • Template Function ImmersX::divergence(const Observable<SourceFieldType, Operation>&)
      • Template Function ImmersX::divergence(const TestExpression<SourceFieldType, Operation>&)
      • Function ImmersX::domain_subsection
      • Function ImmersX::elastic_static_detail::normalize_subsection
      • Template Function ImmersX::evaluate_thickness_values
      • Template Function ImmersX::fe_space(const dealii::DoFHandler<dim, spacedim>&, const dealii::Mapping<dim, spacedim>&, const dealii::AffineConstraints<double>&, const dealii::IndexSet *)
      • Template Function ImmersX::fe_space(const dealii::DoFHandler<dim, spacedim>&, const dealii::Mapping<dim, spacedim>&, const dealii::AffineConstraints<double>&, const dealii::IndexSet&)
      • Template Function ImmersX::finite_element_space_view(const dealii::DoFHandler<dim, spacedim>&, const dealii::Mapping<dim, spacedim>&, const dealii::AffineConstraints<double>&, const dealii::IndexSet *)
      • Template Function ImmersX::finite_element_space_view(const dealii::DoFHandler<dim, spacedim>&, const dealii::Mapping<dim, spacedim>&, const dealii::AffineConstraints<double>&, const dealii::IndexSet&)
      • Template Function ImmersX::frozen
      • Function ImmersX::get_dimension_parameters(const ParameterHandler&)
      • Function ImmersX::get_dimension_parameters(const std::string&)
      • Template Function ImmersX::gradient(const FieldType&)
      • Template Function ImmersX::gradient(const Observable<SourceFieldType, Operation>&)
      • Template Function ImmersX::gradient(const TestExpression<SourceFieldType, Operation>&)
      • Template Function ImmersX::harmonic_detail::add_lifted_continuity
      • Template Function ImmersX::harmonic_detail::add_material
      • Template Function ImmersX::harmonic_detail::add_shared_reinforcement
      • Template Function ImmersX::harmonic_detail::add_shared_robin
      • Template Function ImmersX::harmonic_detail::add_surrogate_material
      • Template Function ImmersX::harmonic_detail::add_surrogate_terms
      • Template Function ImmersX::harmonic_detail::make_reinforcement_boundary_supports
      • Template Function ImmersX::harmonic_detail::make_reinforcement_support
      • Template Function ImmersX::harmonic_detail::make_surrogate_inverse
      • Template Function ImmersX::harmonic_detail::phase_component
      • Template Function ImmersX::initialize_elastodynamics_adapter_state
      • Function ImmersX::initialize_parameters
      • Function ImmersX::initialize_parameters_from_string
      • Template Function ImmersX::internal::co_refine_meshes
      • Template Function ImmersX::isotropic_elasticity_term
      • Template Function ImmersX::known_function
      • Template Function ImmersX::known_term(const KnownSource<Value, spacedim>&, const TestExpression&)
      • Template Function ImmersX::known_term(const Observable<SourceFieldType, Operation>&, const TestExpression&)
      • Template Function ImmersX::known_vector_function
      • Function ImmersX::LegacyInclusions::fourier_to_reference_indices
      • Function ImmersX::LegacyInclusions::fourier_to_reference_scale
      • Function ImmersX::LegacyInclusions::read_2d
      • Function ImmersX::LegacyInclusions::read_3d
      • Template Function ImmersX::lift(const SourceObservable&, const TensorProductLift<reduced_dim, surface_dim, spacedim, n_components>&)
      • Template Function ImmersX::lift(const SourceObservable&, const TensorProductLift<reduced_dim, surface_dim, spacedim, n_components>&, SourceThicknessEvaluator<spacedim>)
      • Template Function ImmersX::lift(const SourceObservable&, const TensorProductLift<reduced_dim, surface_dim, spacedim, n_components>&, const ThicknessObservable&)
      • Template Function ImmersX::lifted_modal_constraint
      • Template Function ImmersX::lifted_modal_load(const std::vector<Lifted>&, const Function&, const Support&)
      • Template Function ImmersX::lifted_modal_load(const Lifted&, const Function&, const unsigned int)
      • Template Function ImmersX::make_amg_preconditioner
      • Template Function ImmersX::make_constraint(ConstraintSum<Terms…>, Rhs&&)
      • Template Function ImmersX::make_constraint(ConstraintSum<Terms…>)
      • Template Function ImmersX::make_constraint(Term)
      • Template Function ImmersX::make_constraint(Term, Rhs&&)
      • Template Function ImmersX::make_continuity_constraint
      • Template Function ImmersX::make_lift(const SourceObservable&, const TensorProductLift<reduced_dim, surface_dim, spacedim, n_components>&)
      • Template Function ImmersX::make_lift(const SourceObservable&, const TensorProductLift<reduced_dim, surface_dim, spacedim, n_components>&, SourceThicknessEvaluator<spacedim>)
      • Template Function ImmersX::make_lift(const SourceObservable&, const TensorProductLift<reduced_dim, surface_dim, spacedim, n_components>&, const ThicknessObservable&)
      • Template Function ImmersX::make_local_preconditioner
      • Template Function ImmersX::make_overlap_supports(const IntegrationSupport<dim, spacedim>&, const dealii::Mapping<dim, spacedim>&, const dealii::Quadrature<dim>&, const PointRange&, const dealii::GridTools::Cache<spacedim, spacedim>&, const double)
      • Template Function ImmersX::make_overlap_supports(const IntegrationSupport<dim, spacedim>&, const dealii::Mapping<dim, spacedim>&, const dealii::Quadrature<dim>&, const dealii::GridTools::Cache<spacedim, spacedim>&, const double)
      • Template Function ImmersX::make_replicated_direct_preconditioner
      • Template Function ImmersX::matrix_operator(const MatrixType&)
      • Template Function ImmersX::matrix_operator(std::shared_ptr<MatrixType>)
      • Function ImmersX::modal_data_evaluator
      • Template Function ImmersX::modal_lift
      • Template Function ImmersX::modal_radius
      • Template Function ImmersX::navier_stokes_detail::make_block_field
      • Template Function ImmersX::normal
      • Template Function ImmersX::operator*(const double, const MaterializedOperator<VectorType, MatrixType>&)
      • Template Function ImmersX::operator*(const MaterializedOperator<VectorType, MatrixType>&, const double)
      • Template Function ImmersX::operator*(Left, Right)
      • Template Function ImmersX::operator*(const double, Expression)
      • Template Function ImmersX::operator*(Expression, const double)
      • Template Function ImmersX::operator*(const double, TestExpression<SourceFieldType, Operation>)
      • Template Function ImmersX::operator*(TestExpression<SourceFieldType, Operation>, const double)
      • Template Function ImmersX::operator*(Observable<SourceFieldType, detail::GradientOperation>, BoundaryNormalDirection<dim, spacedim>)
      • Template Function ImmersX::operator*(Observable<SourceFieldType, detail::GradientOperation>, BoundaryConormalDirection<dim, spacedim>)
      • Template Function ImmersX::operator*(Observable<SourceFieldType, detail::GradientOperation>, BoundaryTangentDirection<dim, spacedim>)
      • Template Function ImmersX::operator*(Quantity, NormalGeometry<Surface>)
      • Template Function ImmersX::operator*(Trial, TestExpression<FieldType, Operation>)
      • Template Function ImmersX::operator*(WeakTerm<Trial, Test, Support>, IntegrationSupport<dim, spacedim>)
      • Template Function ImmersX::operator*(WeakTerm<Trial, Test, CurrentSupport>, Support)
      • Template Function ImmersX::operator*(WeakTerm<Trial, Test, Support>, BoundaryIntegrationSupport<dim, spacedim>)
      • Template Function ImmersX::operator+(Lhs, Rhs)
      • Template Function ImmersX::operator+(ConstraintSum<LhsTerms…>, ConstraintSum<RhsTerms…>)
      • Template Function ImmersX::operator+(ConstraintSum<Terms…>, NewTerm)
      • Template Function ImmersX::operator+(Left, Right)
      • Template Function ImmersX::operator-(Lhs, Rhs)
      • Template Function ImmersX::operator-(ConstraintSum<LhsTerms…>, ConstraintSum<RhsTerms…>)
      • Template Function ImmersX::operator-(ConstraintSum<Terms…>, NewTerm)
      • Template Function ImmersX::operator-(Left, Right)
      • Template Function ImmersX::operator-(Expression)
      • Template Function ImmersX::operator/
      • Template Function ImmersX::output_augmented_lagrangian_iteration_summary
      • Template Function ImmersX::payload_free
      • Template Function ImmersX::read_grid_and_cad_files
      • Template Function ImmersX::ReducedFieldUtils::data_to_dealii_vector
      • Template Function ImmersX::ReducedFieldUtils::distributed_to_serial_vertex_indices
      • Template Function ImmersX::ReducedFieldUtils::field_catalog_to_finite_element
      • Template Function ImmersX::ReducedFieldUtils::get_block_indices
      • Template Function ImmersX::ReducedFieldUtils::read_field_values
      • Template Function ImmersX::ReducedFieldUtils::serial_vector_to_distributed_vector(const dealii::DoFHandler<dim, spacedim>&, const dealii::DoFHandler<dim, spacedim>&, const dealii::Vector<double>&, dealii::LinearAlgebra::distributed::Vector<double>&)
      • Template Function ImmersX::ReducedFieldUtils::serial_vector_to_distributed_vector(const dealii::DoFHandler<dim, spacedim>&, const dealii::DoFHandler<dim, spacedim>&, const dealii::Vector<double>&, ImmersXLA::MPI::Vector&)
      • Template Function ImmersX::refine_space_around_points
      • Function ImmersX::reset_parameter_handler_to_root
      • Template Function ImmersX::robin_boundary_term
      • Template Function ImmersX::robin_detail::add_face_terms
      • Template Function ImmersX::robin_detail::assert_disjoint_boundary_ids
      • Function ImmersX::robin_detail::assert_valid_boundary_data
      • Function ImmersX::robin_detail::expression_depends_on_time
      • Template Function ImmersX::robin_detail::register_parameter_overrides
      • Template Function ImmersX::robin_detail::update_elasticity_springs
      • Function ImmersX::run_lifted_poisson
      • Template Function ImmersX::scalar_field(const FiniteElementSpaceView<dim, spacedim>&, const std::string&)
      • Template Function ImmersX::scalar_field(const FiniteElementSpaceView<dim, spacedim>&, StateLayout&, const std::string&)
      • Template Function ImmersX::semidiscrete_detail::add_matrix_product
      • Template Function ImmersX::semidiscrete_detail::constrained_identity_operator
      • Template Function ImmersX::semidiscrete_detail::constrained_matrix_identity_operator
      • Template Function ImmersX::semidiscrete_detail::constrained_matrix_operator
      • Template Function ImmersX::semidiscrete_detail::constrained_matrix_operator_with_identity
      • Template Function ImmersX::semidiscrete_detail::constrained_operation
      • Template Function ImmersX::semidiscrete_detail::constrained_operator
      • Template Function ImmersX::semidiscrete_detail::constrained_operator_with_identity
      • Template Function ImmersX::semidiscrete_detail::constrained_residual
      • Template Function ImmersX::semidiscrete_detail::mixed_constrained_matrix_operator
      • Template Function ImmersX::semidiscrete_detail::mixed_constrained_operation
      • Template Function ImmersX::semidiscrete_detail::mixed_constrained_operator
      • Template Function ImmersX::semidiscrete_detail::zero_constrained
      • Template Function ImmersX::semidiscrete_detail::zero_mixed_constrained
      • Template Function ImmersX::set_overlap_material_ids(dealii::Triangulation<dim, spacedim>&, const dealii::GridTools::Cache<spacedim, spacedim>&, PointGenerator&&, const OverlapMaterialIds&, const double)
      • Template Function ImmersX::set_overlap_material_ids(dealii::Triangulation<dim, spacedim>&, const dealii::Mapping<dim, spacedim>&, const dealii::Quadrature<dim>&, const dealii::GridTools::Cache<spacedim, spacedim>&, const OverlapMaterialIds&, const double)
      • Template Function ImmersX::sqrt
      • Template Function ImmersX::static_elasticity_nitsche
      • Template Function ImmersX::static_elasticity_robin
      • Template Function ImmersX::static_elasticity_term
      • Template Function ImmersX::symmetric_gradient(const FieldType&)
      • Template Function ImmersX::symmetric_gradient(const Observable<SourceFieldType, Operation>&)
      • Template Function ImmersX::symmetric_gradient(const TestExpression<SourceFieldType, Operation>&)
      • Template Function ImmersX::test(const FieldType&)
      • Template Function ImmersX::test(const LiftedObservableType&)
      • Function ImmersX::throw_unsupported_dimension_combination
      • Template Function ImmersX::transform
      • Template Function ImmersX::transpose_operator
      • Template Function ImmersX::UtilitiesAL::create_augmented_block
      • Template Function ImmersX::UtilitiesAL::set_null_space
      • Template Function ImmersX::value(const FieldType&)
      • Template Function ImmersX::value(const Observable<SourceFieldType, Operation>&)
      • Template Function ImmersX::value(const TestExpression<SourceFieldType, Operation>&)
      • Function ImmersX::Vascularization::count_work
      • Function ImmersX::Vascularization::create_triangulation(const NetworkData&, const DiscretizationResult&, dealii::Triangulation<1, 3>&)
      • Function ImmersX::Vascularization::create_triangulation(const NetworkData&, const DiscretizationResult&, dealii::Triangulation<1, 3>&, const std::set<Id>&, const std::function<std::array<dealii::types::boundary_id, 2>(const VesselCell&, const Vessel&)>&)
      • Function ImmersX::Vascularization::demand_flow_conditions(const NetworkData&, const std::map<Id, double>&, double, const std::vector<Id>&, MPI_Comm)
      • Function ImmersX::Vascularization::demand_flow_conditions(const NetworkData&, const std::map<Id, double>&, const std::map<System, double>&, const std::vector<Id>&, MPI_Comm)
      • Function ImmersX::Vascularization::discretize
      • Function ImmersX::Vascularization::generate(const dealii::Triangulation<3>&, const dealii::Mapping<3>&, const NetworkData&, const Parameters&, MPI_Comm)
      • Function ImmersX::Vascularization::generate(const dealii::Triangulation<3>&, const dealii::Mapping<3>&, const NetworkData&, const Parameters&, MPI_Comm, const std::vector<Territory>&, const std::vector<TerminalPair>&)
      • Function ImmersX::Vascularization::generate(const dealii::Triangulation<3>&, const dealii::Mapping<3>&, const NetworkData&, const Parameters&, MPI_Comm, const std::vector<Territory>&, const std::vector<TerminalPair>&, const std::vector<TerminalTriplet>&)
      • Function ImmersX::Vascularization::length
      • Function ImmersX::Vascularization::load_network
      • Function ImmersX::Vascularization::measure_scaled_vessels
      • Function ImmersX::Vascularization::measure_tissue(const dealii::Triangulation<3>&, const dealii::Mapping<3>&, const NetworkData&, const DiscretizationResult&, const CoverageParameters&, MPI_Comm)
      • Function ImmersX::Vascularization::measure_tissue(const dealii::Triangulation<3>&, const dealii::Mapping<3>&, const NetworkData&, const DiscretizationResult&, const CoverageParameters&, MPI_Comm, const MeshLengthScale&)
      • Function ImmersX::Vascularization::mesh_length_scale
      • Function ImmersX::Vascularization::murray_radius
      • Function ImmersX::Vascularization::operator-
      • Function ImmersX::Vascularization::physical_reference
      • Function ImmersX::Vascularization::redistribute
      • Function ImmersX::Vascularization::reference_pressure
      • Function ImmersX::Vascularization::resistance
      • Function ImmersX::Vascularization::run
      • Function ImmersX::Vascularization::save_network(const std::filesystem::path&, const NetworkData&, const std::vector<Territory>&, const std::vector<TerminalPair>&, MPI_Comm)
      • Function ImmersX::Vascularization::save_network(const std::filesystem::path&, const NetworkData&, const std::vector<Territory>&, const std::vector<TerminalPair>&, const std::vector<TerminalTriplet>&, MPI_Comm)
      • Function ImmersX::Vascularization::solve_reference(const NetworkData&, const std::vector<TerminalPair>&, const ReferenceConditions&, const ReferenceParameters&, MPI_Comm)
      • Function ImmersX::Vascularization::solve_reference(const NetworkData&, const std::vector<TerminalPair>&, const std::vector<TerminalTriplet>&, const ReferenceConditions&, const ReferenceParameters&, MPI_Comm)
      • Function ImmersX::Vascularization::subdivide
      • Function ImmersX::Vascularization::validate_data
      • Function ImmersX::Vascularization::validate_terminal_pairs
      • Function ImmersX::Vascularization::volume
      • Template Function ImmersX::vector_field(const FiniteElementSpaceView<dim, spacedim>&, const std::string&)
      • Template Function ImmersX::vector_field(const FiniteElementSpaceView<dim, spacedim>&, StateLayout&, const std::string&)
      • Template Function ImmersX::weak_term(Trial, Test)
      • Template Function ImmersX::weak_term(Trial, Test, IntegrationSupport<dim, spacedim>)
      • Template Function ImmersX::weak_term(Trial, Test, BoundaryIntegrationSupport<dim, spacedim>)
      • Template Function ImmersX::weak_term(Trial, Test, Support)
      • Template Function ImmersX::weak_term(NormalQuantity<Quantity, Surface>, TargetField)
      • Template Function ImmersX::weak_term(NormalQuantity<Quantity, Surface>, TestExpression<SourceFieldType, Operation>)
      • Variable ImmersX::detail::dependent_false
      • Variable ImmersX::detail::is_scalar_value
      • Variable ImmersX::detail::is_supported_transport_value
      • Variable ImmersX::Vascularization::growth_operation_names
      • Variable ImmersX::Vascularization::invalid_id
      • Define augmented_lagrangian_prec_h
      • Typedef ImmersX::detail::OverlapQuadraturePartition
      • Typedef ImmersX::FieldCatalog
      • Typedef ImmersX::FixedThicknessEvaluator
      • Typedef ImmersX::ImportedFieldView
      • Typedef ImmersX::LiftedPoissonAdapter
      • Typedef ImmersX::LiftedPoissonState
      • Typedef ImmersX::LiftedPoissonVector
      • Typedef ImmersX::LinearSolverParameters
      • Typedef ImmersX::ModalDataEvaluator
      • Typedef ImmersX::SourceThicknessEvaluator
      • Typedef ImmersX::Vascularization::CellVessels
      • Typedef ImmersX::Vascularization::Id
      • Typedef ImmersX::Vascularization::VenousParameters
      • Typedef ImmersX::VesselElasticityProblem
      • Typedef ObserverPointer
  • Integrations
    • Coral backend
    • dealiiX-platform integration
  • Performance
    • Nonmatching particle penalty comparison
    • Elastodynamics performance
    • Cost of the one-vessel elastodynamics MMS
    • Performance pipeline
  • Development
    • Contributing
    • Testing
      • Test a documented workflow
    • Documentation
    • Repository layout
    • Extension guides
      • Constraints and interactions
      • Residual execution with IDA and KINSOL
    • Application coupling roadmap
    • Incremental vascular growth: execution and measured cost
  • About ImmersX
    • References
    • Funding
    • Changelog
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MetricFlowX coupling¶

Start with the elastostatic walkthrough, then explore two-way vessel-wall coupling and its manufactured solution. See the coupling formulation for the equations.

  • Elastostatic coupling walkthrough
  • MetricFlowX and elastodynamics
  • One vessel in a cube: a manufactured solution
Next
Elastostatic–MetricFlowX coupling: onboarding
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A 1D fiber in a 3D matrix under harmonic traction
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