Dune::ACFem::IncompressibleTransportOperatorParts< FunctionSpace, Velocity > Class Template Reference

Define a model for an advection term with a divergence-free velocity field. More...

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

Collaboration diagram for Dune::ACFem::IncompressibleTransportOperatorParts< FunctionSpace, Velocity >:

Public Types
enum	StructureFlags
enum	ConstituentFlags
typedef Expression	ExpressionType
	The type of the underlying expression.

Public Member Functions
template<class Entity , class Point >
void	linearizedSource (const RangeType &uBar, const JacobianRangeType &DuBar, const Entity &entity, const Point &x, const RangeType &value, const JacobianRangeType &jacobian, RangeType &result) const
	The linearized source term as function of local coordinates. More...
bool	setIntersection (const Intersection &intersection) const
void	flux (const Entity &entity, const Point &x, const RangeType &value, const JacobianRangeType &jacobian, JacobianRangeType &flux) const
void	linearizedFlux (const RangeType &uBar, const JacobianRangeType &DuBar, const Entity &entity, const Point &x, const RangeType &value, const JacobianRangeType &jacobian, JacobianRangeType &flux) const
void	source (const Entity &entity, const Point &x, const RangeType &value, const JacobianRangeType &jacobian, RangeType &result) const
void	robinFlux (const Intersection &intersection, const Point &x, const DomainType &unitOuterNormal, const RangeType &value, RangeType &result) const
void	linearizedRobinFlux (const RangeType &uBar, const Intersection &intersection, const Point &x, const DomainType &unitOuterNormal, const RangeType &value, RangeType &result) const
void	fluxDivergence (const Entity &entity, const Point &x, const RangeType &value, const JacobianRangeType &jacobian, const HessianRangeType &hessian, RangeType &result) const
const ExpressionType &	expression () const
	Return a const reference to the underlying expression.
ExpressionType &	expression ()
	Return a mutable reference to the underlying expression.
ExpressionType	operator* () const
	Return a copy from of the underlying expression.

Detailed Description

template<class FunctionSpace, class Velocity>
class Dune::ACFem::IncompressibleTransportOperatorParts< FunctionSpace, Velocity >

Define a model for an advection term with a divergence-free velocity field.

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

\[ \int_\Omega \nabla\cdot(B\,U)\phi = \int_\Omega B\cdot\nabla U\,\phi \]

This formula is only valid for divergence free velocity fields B.

See also

TransportOperatorParts, Transport/Advection Models

Parameters

Velocity

This is a grid-function implementing B.

Member Enumeration Documentation

ConstituentFlags

enum Dune::ACFem::DefaultOperatorParts::ConstituentFlags

inherited

StructureFlags

enum Dune::ACFem::DefaultOperatorParts::StructureFlags

inherited

Member Function Documentation

flux()

void Dune::ACFem::DefaultOperatorParts< Expression >::flux ( const Entity &  entity, const Point &  x, const RangeType &  value, const JacobianRangeType &  jacobian, JacobianRangeType &  flux  ) const

inlineinherited

fluxDivergence()

void Dune::ACFem::DefaultOperatorParts< Expression >::fluxDivergence ( const Entity &  entity, const Point &  x, const RangeType &  value, const JacobianRangeType &  jacobian, const HessianRangeType &  hessian, RangeType &  result  ) const

inlineinherited

linearizedFlux()

void Dune::ACFem::DefaultOperatorParts< Expression >::linearizedFlux ( const RangeType &  uBar, const JacobianRangeType &  DuBar, const Entity &  entity, const Point &  x, const RangeType &  value, const JacobianRangeType &  jacobian, JacobianRangeType &  flux  ) const

inlineinherited

linearizedRobinFlux()

void Dune::ACFem::DefaultOperatorParts< Expression >::linearizedRobinFlux ( const RangeType &  uBar, const Intersection &  intersection, const Point &  x, const DomainType &  unitOuterNormal, const RangeType &  value, RangeType &  result  ) const

inlineinherited

robinFlux()

void Dune::ACFem::DefaultOperatorParts< Expression >::robinFlux ( const Intersection &  intersection, const Point &  x, const DomainType &  unitOuterNormal, const RangeType &  value, RangeType &  result  ) const

inlineinherited

setIntersection()

bool Dune::ACFem::DefaultOperatorParts< Expression >::setIntersection ( const Intersection &  intersection ) const

inlineinherited

source()

void Dune::ACFem::DefaultOperatorParts< Expression >::source ( const Entity &  entity, const Point &  x, const RangeType &  value, const JacobianRangeType &  jacobian, RangeType &  result  ) const

inlineinherited

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

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