Dune::ACFem::PDEModel::TransportModel< FunctionSpace, GridFunction > Class Template Reference

Define a model for an advection term. More...

#include <dune/acfem/models/modules/transportmodel.hh>

Collaboration diagram for Dune::ACFem::PDEModel::TransportModel< FunctionSpace, GridFunction >:

Public Member Functions
template<class Entity >
void	bind (const Entity &entity)
	Bind to the given entity. More...
void	unbind ()
	Unbind from the previously bound entity. More...
template<class Intersection >
auto	classifyBoundary (const Intersection &intersection)
	Bind to the given intersection and classify the components w.r.t. More...
template<class Quadrature >
auto	linearizedFlux (const QuadraturePoint< Quadrature > &x, const RangeType &value) const
	Evaluate the linearized flux in local coordinates. More...
template<class Quadrature >
auto	fluxDivergence (const QuadraturePoint< Quadrature > &x, const RangeType &value, const JacobianRangeType &jacobian) const
	! More...
template<class Quadrature >
auto	linearizedRobinFlux (const QuadraturePoint< Quadrature > &x, const DomainType &unitOuterNormal, const RangeType &value) const
	The linearized Robin-type flux term. More...

FunctionSpaceTypes
Forward some basic type from the supplied function-spaces to the model class. Note that FunctionSpace is defined as a shortcut for RangeFunctionSpace in order to simplify the common case DomainFunctionSpace == RangeFunctionSpace.
using	HessianRangeSelector = typename std::conditional< std::is_convertible< typename FunctionSpace::RangeType, typename FunctionSpace::HessianRangeType >::value, Fem::ExplicitFieldVector< typename FunctionSpace::HessianRangeType::value_type, FunctionSpace::dimRange >, typename FunctionSpace::HessianRangeType >::type
	The type returned by classifyBoundary().
using	RangeFunctionSpaceType = FunctionSpace
	The type returned by classifyBoundary().
using	DomainFunctionSpaceType = FunctionSpace
	The type returned by classifyBoundary().
using	FunctionSpaceType = RangeFunctionSpaceType
	The type returned by classifyBoundary().
using	DomainType = typename FunctionSpaceType::DomainType
	The type returned by classifyBoundary().
using	RangeType = typename FunctionSpaceType::RangeType
	The type returned by classifyBoundary().
using	JacobianRangeType = typename FunctionSpaceType::JacobianRangeType
	The type returned by classifyBoundary().
using	HessianRangeType = HessianRangeSelector< FunctionSpaceType >
	The type returned by classifyBoundary().
using	DomainFieldType = typename FunctionSpaceType::DomainFieldType
	The type returned by classifyBoundary().
using	RangeFieldType = typename FunctionSpaceType::RangeFieldType
	The type returned by classifyBoundary().
using	DomainRangeType = typename DomainFunctionSpaceType::RangeType
	The type returned by classifyBoundary().
using	DomainDomainType = typename DomainFunctionSpaceType::DomainType
	The type returned by classifyBoundary().
using	DomainJacobianRangeType = typename DomainFunctionSpaceType::JacobianRangeType
	The type returned by classifyBoundary().
using	DomainHessianRangeType = HessianRangeSelector< DomainFunctionSpaceType >
	The type returned by classifyBoundary().
using	DomainDomainFieldType = typename DomainFunctionSpaceType::DomainFieldType
	The type returned by classifyBoundary().
using	DomainRangeFieldType = typename DomainFunctionSpaceType::RangeFieldType
	The type returned by classifyBoundary().
using	RangeRangeType = typename RangeFunctionSpaceType::RangeType
	The type returned by classifyBoundary().
using	RangeDomainType = typename RangeFunctionSpaceType::DomainType
	The type returned by classifyBoundary().
using	RangeJacobianRangeType = typename RangeFunctionSpaceType::JacobianRangeType
	The type returned by classifyBoundary().
using	RangeHessianRangeType = HessianRangeSelector< RangeFunctionSpaceType >
	The type returned by classifyBoundary().
using	RangeDomainFieldType = typename RangeFunctionSpaceType::DomainFieldType
	The type returned by classifyBoundary().
using	RangeRangeFieldType = typename RangeFunctionSpaceType::RangeFieldType
	The type returned by classifyBoundary().
using	BoundaryConditionsType = std::pair< bool, std::bitset< dimRange > >
	The type returned by classifyBoundary().
static constexpr int	dimDomain
	The type returned by classifyBoundary().
static constexpr int	dimRange
	The type returned by classifyBoundary().
static constexpr int	domainDimDomain
	The type returned by classifyBoundary().
static constexpr int	domainDimRange
static constexpr int	rangeDimDomain
	The type returned by classifyBoundary().
static constexpr int	rangeDimRange

Detailed Description

template<class FunctionSpace, class GridFunction>
class Dune::ACFem::PDEModel::TransportModel< FunctionSpace, GridFunction >

Define a model for an advection term.

In formulas: this fragment implements the right-hand-side of the following equation:

\[ \int_\Omega \nabla\cdot(B\,U)\phi = - \int_\Omega B_i\,U_j\,\partial_i\phi_j + \int_{\partial\Omega} B\cdot\nu\,U\cdot\phi \]

Of course, the formula uses sum-convention.

See also

IncompressibleTransportModel, Transport/Advection Models

Parameters

Velocity

This is a grid-function implementing B.

Member Data Documentation

domainDimRange

constexpr int Dune::ACFem::ModelBase< FunctionSpace , FunctionSpace >::domainDimRange

staticconstexprinherited

rangeDimRange

constexpr int Dune::ACFem::ModelBase< FunctionSpace , FunctionSpace >::rangeDimRange

staticconstexprinherited

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The documentation for this class was generated from the following file:

• dune/acfem/models/modules/transportmodel.hh