Manages the coupling between bulk elements and lower dimensional elements. More...
#include <dumux/multidomain/embedded/couplingmanager1d3d_projection.hh>
Manages the coupling between bulk elements and lower dimensional elements.
The method is described in detail in the article "Projection-based resolved interface mixed-dimension method for embedded tubular network systems" by Timo Koch (2021) available at https://arxiv.org/abs/2106.06358
The network is represented as a line segment network. The bulk domain explicitly resolves the wall of the tube network (e.g. blood vessel wall, outer root wall), so this generally requires an unstructured grid. The coupling term coupling the PDEs on the network and in the bulk domain is intergrated over the coupling surface and each integration point couples to quantities evaluated at the closest point on the graph. There is a unique mapping from every point on the virtual tube surface to the tube centerline, therefore this coupling is determined by mapping to the closest point on the virtual surface and then evaluating the 1D quantity on the mapped centerline point. (The inverse mapping may be non-unique.)
The original paper also includes an algorithm for computing exact intersection for the surface quadrature in case of simple straight vessels. However, as a comparison in the paper shows that the suggested approximate quadrature is exact enough (configured by parameter MixedDimension.Projection.SimplexIntegrationRefine specifying the number of (adaptive local) virtual refinements of a surface facet for integration), only the approximate general purpose algorithm is included in this implementation. Only one quadrature point will be added for each surface element and coupled 1D dof including all contribution evaluated by local refinement. That means the virtual refinement doesn't increase the number of integration points and additionally is also optimized by using local adaptive refinement only in the places where the index mapping to the 1D degree of freedom is still multivalent.
Coupling sources are implement in terms of point sources at quadrature points to make it easy to reuse code written for other 1D-3D coupling manager modes.
This algorithm can be configured by several parameters (although this is usually not necessary as there are sensible defaults):
Public Types | |
using | MultiDomainTraits = MDTraits |
export traits More... | |
using | PointSourceTraits = DefaultPointSourceTraits< MDTraits > |
export the point source traits More... | |
using | CouplingStencils = std::unordered_map< GridIndex< id >, CouplingStencil< id > > |
export stencil types More... | |
using | CouplingStencilType = std::vector< std::size_t > |
default type used for coupling element stencils More... | |
Public Member Functions | |
void | init (std::shared_ptr< Problem< bulkIdx > > bulkProblem, std::shared_ptr< Problem< lowDimIdx > > lowDimProblem, const SolutionVector &curSol) |
void | computePointSourceData (std::size_t order=1, bool verbose=false) |
Scalar | radius (std::size_t id) const |
Methods to be accessed by the subproblems. More... | |
const std::vector< int > & | bulkElementMarker () const |
Marker that is non-zero for bulk elements that are coupled. More... | |
const std::vector< int > & | bulkVertexMarker () const |
Marker that is non-zero for bulk vertices that belong to coupled surface facets. More... | |
const std::vector< Scalar > & | localAreaFactor () const |
void | updateAfterGridAdaption (std::shared_ptr< const GridGeometry< bulkIdx > > bulkGridGeometry, std::shared_ptr< const GridGeometry< lowDimIdx > > lowDimGridGeometry) |
call this after grid adaption More... | |
void | init (std::shared_ptr< Problem< bulkIdx > > bulkProblem, std::shared_ptr< Problem< lowDimIdx > > lowDimProblem, const SolutionVector &curSol) |
Methods to be accessed by main. More... | |
const CouplingStencil< j > & | couplingStencil (Dune::index_constant< i > domainI, const Element< i > &element, Dune::index_constant< j > domainJ) const |
Methods to be accessed by the assembly. More... | |
decltype(auto) | evalCouplingResidual (Dune::index_constant< i > domainI, const LocalAssemblerI &localAssemblerI, Dune::index_constant< j > domainJ, std::size_t dofIdxGlobalJ) |
evaluates the element residual of a coupled element of domain i which depends on the variables at the degree of freedom with index dofIdxGlobalJ of domain j More... | |
const PointSourceData & | pointSourceData (std::size_t id) const |
Methods to be accessed by the subproblems. More... | |
const std::vector< PointSourceData > & | pointSourceData () const |
Return reference to point source data vector member. More... | |
const GridView< id > & | gridView (Dune::index_constant< id > domainIdx) const |
Return a reference to the bulk problem. More... | |
PrimaryVariables< bulkIdx > | bulkPriVars (std::size_t id) const |
Return data for a bulk point source with the identifier id. More... | |
PrimaryVariables< lowDimIdx > | lowDimPriVars (std::size_t id) const |
Return data for a low dim point source with the identifier id. More... | |
Scalar | averageDistance (std::size_t id) const |
return the average distance to the coupled bulk cell center More... | |
const std::vector< PointSource< bulkIdx > > & | bulkPointSources () const |
Return reference to bulk point sources. More... | |
const std::vector< PointSource< lowDimIdx > > & | lowDimPointSources () const |
Return reference to low dim point sources. More... | |
const std::vector< PointSource< i > > & | pointSources (Dune::index_constant< i > dom) const |
Return the point source if domain i. More... | |
const CouplingStencils< i > & | couplingStencils (Dune::index_constant< i > dom) const |
Return reference to bulk coupling stencil member of domain i. More... | |
const CouplingStencil< i > & | emptyStencil (Dune::index_constant< i > dom) const |
Return a reference to an empty stencil. More... | |
auto & | curSol (Dune::index_constant< i > domainIdx) |
the solution vector of the subproblem More... | |
const auto & | curSol (Dune::index_constant< i > domainIdx) const |
the solution vector of the subproblem More... | |
member functions concerning the coupling stencils | |
void | extendJacobianPattern (Dune::index_constant< id > domainI, JacobianPattern &pattern) const |
extend the jacobian pattern of the diagonal block of domain i by those entries that are not already in the uncoupled pattern More... | |
Static Public Attributes | |
static constexpr Embedded1d3dCouplingMode::Projection | couplingMode {} |
Protected Types | |
using | SolutionVectorStorage = typename Traits::template TupleOfSharedPtr< SubSolutionVector > |
the type in which the solution vector is stored in the manager More... | |
Protected Member Functions | |
std::vector< PointSourceData > & | pointSourceData () |
Return reference to point source data vector member. More... | |
std::vector< PointSource< i > > & | pointSources (Dune::index_constant< i > dom) |
Return the point source if domain i. More... | |
CouplingStencils< i > & | couplingStencils (Dune::index_constant< i > dom) |
Return reference to bulk coupling stencil member of domain i. More... | |
void | precomputeVertexIndices (Dune::index_constant< id > domainIdx) |
computes the vertex indices per element for the box method More... | |
void | getShapeValues (Dune::index_constant< i > domainI, const FVGG &gridGeometry, const Geometry &geo, const GlobalPosition &globalPos, ShapeValues &shapeValues) |
compute the shape function for a given point and geometry More... | |
void | clear () |
Clear all internal data members. More... | |
void | glueGrids () |
compute the intersections between the two grids More... | |
std::vector< Scalar > & | averageDistanceToBulkCell () |
Return reference to average distances to bulk cell. More... | |
std::vector< GridIndex< i > > & | vertexIndices (Dune::index_constant< i > dom, GridIndex< i > eIdx) |
Return a reference to the vertex indices. More... | |
std::vector< std::vector< GridIndex< i > > > & | vertexIndices (Dune::index_constant< i > dom) |
Return a reference to the vertex indices container. More... | |
const GlueType & | glue () const |
Embedded1d3dCouplingManager< MDTraits, Embedded1d3dCouplingMode::Projection > & | asImp_ () |
Returns the implementation of the problem (i.e. static polymorphism) More... | |
const Embedded1d3dCouplingManager< MDTraits, Embedded1d3dCouplingMode::Projection > & | asImp_ () const |
Returns the implementation of the problem (i.e. static polymorphism) More... | |
Protected Attributes | |
std::size_t | idCounter_ |
id generator for point sources More... | |
member functions concerning variable caching for element residual evaluations | |
decltype(auto) | evalCouplingResidual (Dune::index_constant< i > domainI, const LocalAssemblerI &localAssemblerI, Dune::index_constant< j > domainJ, std::size_t dofIdxGlobalJ) const |
evaluates the element residual of a coupled element of domain i which depends on the variables at the degree of freedom with index dofIdxGlobalJ of domain j More... | |
void | bindCouplingContext (Dune::index_constant< i > domainI, const Element< i > &elementI, const Assembler &assembler) |
prepares all data and variables that are necessary to evaluate the residual of the element of domain i More... | |
void | updateCouplingContext (Dune::index_constant< i > domainI, const LocalAssemblerI &localAssemblerI, Dune::index_constant< j > domainJ, std::size_t dofIdxGlobalJ, const PrimaryVariables< j > &priVarsJ, int pvIdxJ) |
updates all data and variables that are necessary to evaluate the residual of the element of domain i this is called whenever one of the primary variables that the element residual depends on changes in domain j More... | |
void | updateCoupledVariables (Dune::index_constant< i > domainI, const LocalAssemblerI &localAssemblerI, UpdatableElementVolVars &elemVolVars, UpdatableFluxVarCache &elemFluxVarsCache) |
update variables of domain i that depend on variables in domain j after the coupling context has been updated More... | |
void | updateSolution (const SolutionVector &curSol) |
Updates the entire solution vector, e.g. before assembly or after grid adaption Overload might want to overload function if the solution vector is stored outside this class to make sure updates don't happen more than once. More... | |
void | evalAdditionalDomainDerivatives (Dune::index_constant< i > domainI, const LocalAssemblerI &localAssemblerI, const typename LocalAssemblerI::LocalResidual::ElementResidualVector &origResiduals, JacobianMatrixDiagBlock &A, GridVariables &gridVariables) |
evaluate additional derivatives of the element residual of a domain with respect to dofs in the same domain that are not in the regular stencil (see CouplingManager::extendJacobianPattern) More... | |
decltype(auto) | numericEpsilon (Dune::index_constant< i >, const std::string ¶mGroup) const |
return the numeric epsilon used for deflecting primary variables of coupled domain i More... | |
void | setSubProblems (const std::tuple< std::shared_ptr< SubProblems >... > &problems) |
set the pointers to the sub problems More... | |
void | setSubProblem (std::shared_ptr< SubProblem > problem, Dune::index_constant< i > domainIdx) |
set a pointer to one of the sub problems More... | |
const Problem< i > & | problem (Dune::index_constant< i > domainIdx) const |
Return a reference to the sub problem. More... | |
decltype(auto) | curSol () |
the solution vector of the coupled problem More... | |
decltype(auto) | curSol () const |
the solution vector of the coupled problem More... | |
void | attachSolution (SolutionVectorStorage &curSol) |
Attach a solution vector stored outside of this class. More... | |
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inherited |
export stencil types
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inherited |
default type used for coupling element stencils
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inherited |
export traits
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inherited |
export the point source traits
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protectedinherited |
the type in which the solution vector is stored in the manager
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inlineprotectedinherited |
Returns the implementation of the problem (i.e. static polymorphism)
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inlineprotectedinherited |
Returns the implementation of the problem (i.e. static polymorphism)
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inlineprotectedinherited |
Attach a solution vector stored outside of this class.
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inlineinherited |
return the average distance to the coupled bulk cell center
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inlineprotectedinherited |
Return reference to average distances to bulk cell.
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inlineinherited |
prepares all data and variables that are necessary to evaluate the residual of the element of domain i
domainI | the domain index of domain i |
elementI | the element whose residual we are assemling next |
assembler | the multidomain assembler for access to all data necessary for the assembly of all domains |
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inline |
Marker that is non-zero for bulk elements that are coupled.
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inlineinherited |
Return reference to bulk point sources.
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inlineinherited |
Return data for a bulk point source with the identifier id.
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inline |
Marker that is non-zero for bulk vertices that belong to coupled surface facets.
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inlineprotectedinherited |
Clear all internal data members.
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inline |
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inlineinherited |
Methods to be accessed by the assembly.
returns an iteratable container of all indices of degrees of freedom of domain j that couple with / influence the element residual of the given element of domain i
domainI | the domain index of domain i |
element | the coupled element of domain í |
domainJ | the domain index of domain j |
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inlineprotectedinherited |
Return reference to bulk coupling stencil member of domain i.
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inlineinherited |
Return reference to bulk coupling stencil member of domain i.
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inlineprotectedinherited |
the solution vector of the coupled problem
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inlineprotectedinherited |
the solution vector of the coupled problem
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inlineinherited |
the solution vector of the subproblem
domainIdx | The domain index |
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inlineinherited |
the solution vector of the subproblem
domainIdx | The domain index |
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inlineinherited |
Return a reference to an empty stencil.
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inlineinherited |
evaluate additional derivatives of the element residual of a domain with respect to dofs in the same domain that are not in the regular stencil (see CouplingManager::extendJacobianPattern)
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inlineinherited |
evaluates the element residual of a coupled element of domain i which depends on the variables at the degree of freedom with index dofIdxGlobalJ of domain j
domainI | the domain index of domain i |
localAssemblerI | the local assembler assembling the element residual of an element of domain i |
domainJ | the domain index of domain j |
dofIdxGlobalJ | the index of the degree of freedom of domain j which has an influence on the element residual of domain i |
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inlineinherited |
evaluates the element residual of a coupled element of domain i which depends on the variables at the degree of freedom with index dofIdxGlobalJ of domain j
domainI | the domain index of domain i |
localAssemblerI | the local assembler assembling the element residual of an element of domain i |
domainJ | the domain index of domain j |
dofIdxGlobalJ | the index of the degree of freedom of domain j which has an influence on the element residual of domain i |
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inlineinherited |
extend the jacobian pattern of the diagonal block of domain i by those entries that are not already in the uncoupled pattern
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inlineprotectedinherited |
compute the shape function for a given point and geometry
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inlineprotectedinherited |
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inlineprotectedinherited |
compute the intersections between the two grids
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inlineinherited |
Return a reference to the bulk problem.
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inline |
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inlineinherited |
Methods to be accessed by main.
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inline |
For each 1D element, the ratio of associated discrete bulk surface area to the theoretical bulk surface area resulting from assuming a cylinder-shaped segment (excluding cylinder caps).
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inlineinherited |
Return reference to low dim point sources.
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inlineinherited |
Return data for a low dim point source with the identifier id.
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inlineinherited |
return the numeric epsilon used for deflecting primary variables of coupled domain i
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inlineprotectedinherited |
Return reference to point source data vector member.
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inlineinherited |
Return reference to point source data vector member.
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inlineinherited |
Methods to be accessed by the subproblems.
Return a reference to the pointSource data
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inlineprotectedinherited |
Return the point source if domain i.
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inlineinherited |
Return the point source if domain i.
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inlineprotectedinherited |
computes the vertex indices per element for the box method
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inlineinherited |
Return a reference to the sub problem.
domainIdx | The domain index We avoid exception handling here because the performance of this function is critical |
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inline |
Methods to be accessed by the subproblems.
Return a reference to the bulk problem
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inlineinherited |
set a pointer to one of the sub problems
problem | a pointer to the sub problem |
domainIdx | the domain index of the sub problem |
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inlineinherited |
set the pointers to the sub problems
problems | A tuple of shared pointers to the sub problems |
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inlineinherited |
call this after grid adaption
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inlineinherited |
update variables of domain i that depend on variables in domain j after the coupling context has been updated
domainI | the index of domain i |
localAssemblerI | the local assembler assembling the element residual of an element of domain i |
elemVolVars | the element volume variables (all volume variables in the element local stencil) to be updated |
elemFluxVarsCache | the element flux variable cache (all flux variables in the element local stencil) to be updated |
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inlineinherited |
updates all data and variables that are necessary to evaluate the residual of the element of domain i this is called whenever one of the primary variables that the element residual depends on changes in domain j
domainI | the domain index of domain i |
localAssemblerI | the local assembler assembling the element residual of an element of domain i |
domainJ | the domain index of domain j |
dofIdxGlobalJ | the index of the degree of freedom of domain j whose solution changed |
priVarsJ | the new solution at the degree of freedom of domain j with index dofIdxGlobalJ |
pvIdxJ | the index of the primary variable of domain j which has been updated |
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inlineinherited |
Updates the entire solution vector, e.g. before assembly or after grid adaption Overload might want to overload function if the solution vector is stored outside this class to make sure updates don't happen more than once.
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inlineprotectedinherited |
Return a reference to the vertex indices container.
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inlineprotectedinherited |
Return a reference to the vertex indices.
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staticconstexpr |
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protectedinherited |
id generator for point sources