#include <rtn-pk-pk-pk.hpp>

Inheritance diagram for HArDCore2D::DSL::RTNPkPkPk:

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Collaboration diagram for HArDCore2D::DSL::RTNPkPkPk:

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Public Types
typedef boost::fusion::map< boost::fusion::pair< RolyCellType, std::string >, boost::fusion::pair< RolyComplCellType, std::string > >	CellDofsMapType

typedef boost::fusion::map< boost::fusion::pair< RolyCellType, std::string >, boost::fusion::pair< RolyComplCellType, std::string > >	CellDofsMapType

typedef boost::fusion::map< boost::fusion::pair< RolyCellType, std::string >, boost::fusion::pair< RolyComplCellType, std::string > >	CellDofsMapType

Public Types inherited from HArDCore2D::DSL::HYPRE
typedef Eigen::SparseMatrix< double >	SystemMatrixType

typedef std::function< VectorRd(const VectorRd &)>	MomentumForcingTermType

typedef std::function< double(const VectorRd &)>	CompressibilityForcingTermType

typedef std::function< VectorRd(const VectorRd &)>	VelocityType

typedef std::function< MatrixRd(const VectorRd &)>	VelocityGradientType

typedef std::function< double(const VectorRd &)>	PressureType

typedef std::function< VectorRd(const VectorRd &)>	PressureGradientType

typedef Eigen::SparseMatrix< double >	SystemMatrixType

typedef std::function< VectorRd(const VectorRd &)>	MomentumForcingTermType

typedef std::function< double(const VectorRd &)>	CompressibilityForcingTermType

typedef std::function< VectorRd(const VectorRd &)>	VelocityType

typedef std::function< MatrixRd(const VectorRd &)>	VelocityGradientType

typedef std::function< double(const VectorRd &)>	PressureType

typedef std::function< VectorRd(const VectorRd &)>	PressureGradientType

typedef Eigen::SparseMatrix< double >	SystemMatrixType

typedef std::function< VectorRd(const VectorRd &)>	MomentumForcingTermType

typedef std::function< VectorRd(const VectorRd &)>	MagneticForcingTermType

typedef std::function< double(const VectorRd &)>	CompressibilityForcingTermType

typedef std::function< VectorRd(const VectorRd &)>	VelocityType

typedef std::function< MatrixRd(const VectorRd &)>	VelocityGradientType

typedef std::function< double(const VectorRd &)>	PressureType

typedef std::function< VectorRd(const VectorRd &)>	PressureGradientType

Public Member Functions
	RTNPkPkPk (const Mesh &mesh, size_t degree, const BoundaryConditions &bc, const HYPREParameters &parameters)
	Constructor.

Eigen::VectorXd	interpolate (const VelocityType &u, const PressureType &p) const
	Interpolate both velocity and pressure.

const CellDofsMapType &	cellDofsMap () const
	Return cell DOFs map.

Eigen::VectorXd	extendCellDofs (const Eigen::VectorXd &vh) const
	Extend cell DOFs from \(\mathcal{RTN}^{k+1}(T)\) to \(\mathcal{P}^{k+1}(T)^d\).

const DiscreteSpace &	extendedDofsSpace () const
	Return the discrete space corresponding to the extended DOFs.

double	convective_stabilization_parameter (size_t iT, const HArDCore2D::NavierStokesSolutions::IExactSolution *isolution, const size_t cell_degree, const double viscosity, const Eigen::VectorXd uT_old, const double current_time=0.) const
	Evaluates convective stabilisation parameter.

	RTNPkPkPk (const Mesh &mesh, size_t degree, const BoundaryConditions &bc, const HYPREParameters &parameters)
	Constructor.

Eigen::VectorXd	interpolate (const VelocityType &u, const PressureType &p) const
	Interpolate both velocity and pressure.

const CellDofsMapType &	cellDofsMap () const
	Return cell DOFs map.

Eigen::VectorXd	extendCellDofs (const Eigen::VectorXd &vh) const
	Extend cell DOFs from \(\mathcal{RTN}^{k+1}(T)\) to \(\mathcal{P}^{k+1}(T)^d\).

const DiscreteSpace &	extendedDofsSpace () const
	Return the discrete space corresponding to the extended DOFs.

double	convective_stabilization_parameter (size_t iT, const HArDCore2D::NavierStokesSolutions::IExactSolution *isolution, const size_t cell_degree, const double viscosity, const Eigen::VectorXd uT_old, const double current_time=0.) const
	Evaluates convective stabilisation parameter.

	RTNPkPkPk (const Mesh &mesh, size_t degree, const BoundaryConditions &bc, const HYPREParameters &parameters)
	Constructor.

Eigen::VectorXd	interpolate (const VelocityType &u, const PressureType &p) const
	Interpolate both velocity and pressure.

const CellDofsMapType &	cellDofsMap () const
	Return cell DOFs map.

Eigen::VectorXd	extendCellDofs (const Eigen::VectorXd &vh) const
	Extend cell DOFs from \(\mathcal{RTN}^{k+1}(T)\) to \(\mathcal{P}^{k+1}(T)^d\).

const DiscreteSpace &	extendedDofsSpace () const
	Return the discrete space corresponding to the extended DOFs.

double	convective_stabilization_parameter (size_t iT, const HArDCore2D::MHDSolutions::IExactSolution *isolution, const Eigen::VectorXd &uT_old, const Eigen::VectorXd &bT_old, const size_t cell_degree, const double viscosity, const double magnetic_diffusivity, const double current_time) const
	Evaluates convective stabilisation parameter.

double	magnetic_convective_stabilization_parameter (size_t iT, const HArDCore2D::MHDSolutions::IExactSolution *isolution, const Eigen::VectorXd &uT_old, const Eigen::VectorXd &bT_old, const size_t cell_degree, const double viscosity, const double magnetic_diffusivity, const double current_time) const

Public Member Functions inherited from HArDCore2D::DSL::HYPRE
	HYPRE (const Mesh &mesh, size_t degree, const BoundaryConditions &bc, const HYPREParameters &parameters={})

virtual	~HYPRE ()

template<typename F >
Eigen::VectorXd	pkpoPkPkPkInterpolate (const F &v, const InterpolateParameters &parameters={}) const
	Compute the interpolate for the Pk+1-Pk-Pk-Pk method.

size_t	degree () const
	Returns the degree.

double	stabilizationParameter () const
	Returns the stabilization parameter.

const std::vector< Eigen::MatrixXd >	potential () const
	Returns the vector of potential reconstructions.

const std::vector< Eigen::MatrixXd >	stabilization () const
	Returns the vector of stabilization matrices.

const Eigen::MatrixXd &	potential (size_t iT) const
	Returns the potential reconstruction.

size_t	numLocalStaticallyCondensedDofsVelocity () const
	Returns the local number of velocity statically condensed DOFs.

size_t	numLocalStaticallyCondensedDofsPressure () const
	Returns the local number of pressure statically condensed DOFs.

size_t	numStaticallyCondensedDofsVelocity () const
	Returns the number of statically condensed DOFs for the velocity.

size_t	numStaticallyCondensedDofsPressure () const
	Returns the number of statically condensed DOFs for the pressure.

size_t	numStaticallyCondensedDofs () const
	Returns the number of statically condensed DOFs.

size_t	numDirichletDofs () const
	Returns the number of Dirichlet DOFs.

size_t	dimVelocity () const
	Returns the dimension of velocity space.

size_t	dimPressure () const
	Returns the dimension of pressure space.

size_t	numNonStaticallyCondensedDofs () const
	Returns the number of DOFs after SC and with Lagrange multiplier, but before eliminating Dirichlet DOFs.

size_t	sizeSystem () const
	Returns the size of the final system with Lagrange multiplier, after application of SC and removal of Dirichlet BCs.

const DiscreteSpace &	velocitySpace () const
	Returns the velocity space.

const DiscreteSpace &	pressureSpace () const
	Returns the pressure space.

const Mesh &	mesh () const
	Returns the mesh.

const SystemMatrixType &	systemMatrix () const
	Returns the linear system matrix.

SystemMatrixType &	systemMatrix ()
	Returns the linear system matrix.

const Eigen::VectorXd &	systemVector () const
	Returns the linear system right-hand side vector.

Eigen::VectorXd &	systemVector ()
	Returns the linear system right-hand side vector.

const SystemMatrixType &	staticallyCondensedMatrix () const
	Returns the static condensation recovery operator.

const Eigen::VectorXd &	staticallyCondensedVector () const
	Returns the static condensation rhs.

const BoundaryConditions &	boundaryConditions () const
	Returns the boundary condition handler.

void	assembleResidualSystem (const HArDCore2D::NavierStokesSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old, const Eigen::VectorXd &uph_prev, const double time_step, const double current_time)
	Assemble the global system.

void	assembleResidualSystem (const HArDCore2D::NavierStokesSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old)

Eigen::VectorXd	reconstructSolution (const Eigen::VectorXd &uhp_solsystem) const
	Reconstruct the solution from the vector of non-statically-condensed DOFs.

	HYPRE (const Mesh &mesh, size_t degree, const BoundaryConditions &bc, const HYPREParameters &parameters={})

virtual	~HYPRE ()

template<typename F >
Eigen::VectorXd	pkpoPkPkPkInterpolate (const F &v, const InterpolateParameters &parameters={}) const
	Compute the interpolate for the Pk+1-Pk-Pk-Pk method.

size_t	degree () const
	Returns the degree.

double	stabilizationParameter () const
	Returns the stabilization parameter.

const std::vector< Eigen::MatrixXd >	potential () const
	Returns the vector of potential reconstructions.

const std::vector< Eigen::MatrixXd >	stabilization () const
	Returns the vector of stabilization matrices.

const Eigen::MatrixXd &	potential (size_t iT) const
	Returns the potential reconstruction.

size_t	numLocalStaticallyCondensedDofsVelocity () const
	Returns the local number of velocity statically condensed DOFs.

size_t	numLocalStaticallyCondensedDofsPressure () const
	Returns the local number of pressure statically condensed DOFs.

size_t	numStaticallyCondensedDofsVelocity () const
	Returns the number of statically condensed DOFs for the velocity.

size_t	numStaticallyCondensedDofsPressure () const
	Returns the number of statically condensed DOFs for the pressure.

size_t	numStaticallyCondensedDofs () const
	Returns the number of statically condensed DOFs.

size_t	numDirichletDofs () const
	Returns the number of Dirichlet DOFs.

size_t	dimVelocity () const
	Returns the dimension of velocity space.

size_t	dimPressure () const
	Returns the dimension of pressure space.

size_t	numNonStaticallyCondensedDofs () const
	Returns the number of DOFs after SC and with Lagrange multiplier, but before eliminating Dirichlet DOFs.

size_t	sizeSystem () const
	Returns the size of the final system with Lagrange multiplier, after application of SC and removal of Dirichlet BCs.

const DiscreteSpace &	velocitySpace () const
	Returns the velocity space.

const DiscreteSpace &	pressureSpace () const
	Returns the pressure space.

const Mesh &	mesh () const
	Returns the mesh.

const SystemMatrixType &	systemMatrix () const
	Returns the linear system matrix.

SystemMatrixType &	systemMatrix ()
	Returns the linear system matrix.

const Eigen::VectorXd &	systemVector () const
	Returns the linear system right-hand side vector.

Eigen::VectorXd &	systemVector ()
	Returns the linear system right-hand side vector.

const SystemMatrixType &	staticallyCondensedMatrix () const
	Returns the static condensation recovery operator.

const Eigen::VectorXd &	staticallyCondensedVector () const
	Returns the static condensation rhs.

const BoundaryConditions &	boundaryConditions () const
	Returns the boundary condition handler.

void	assembleResidualSystem (const HArDCore2D::NavierStokesSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old, const Eigen::VectorXd &uph_prev, const double time_step, const double current_time)
	Assemble the global system.

void	assembleResidualSystem (const HArDCore2D::NavierStokesSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old)

Eigen::VectorXd	reconstructSolution (const Eigen::VectorXd &uhp_solsystem) const
	Reconstruct the solution from the vector of non-statically-condensed DOFs.

	HYPRE (const Mesh &mesh, size_t degree, const BoundaryConditions &bc, const HYPREParameters &parameters={})

virtual	~HYPRE ()

template<typename F >
Eigen::VectorXd	pkpoPkPkPkInterpolate (const F &v, const InterpolateParameters &parameters={}) const
	Compute the interpolate for the Pk+1-Pk-Pk-Pk method.

size_t	degree () const
	Returns the degree.

double	stabilizationParameter () const
	Returns the stabilization parameter.

const std::vector< Eigen::MatrixXd >	potential () const
	Returns the vector of potential reconstructions.

const std::vector< Eigen::MatrixXd >	stabilization () const
	Returns the vector of stabilization matrices.

const Eigen::MatrixXd &	potential (size_t iT) const
	Returns the potential reconstruction.

size_t	numLocalStaticallyCondensedDofsVelocity () const
	Returns the local number of velocity statically condensed DOFs.

size_t	numLocalStaticallyCondensedDofsPressure () const
	Returns the local number of pressure statically condensed DOFs.

size_t	numStaticallyCondensedDofsVelocity () const
	Returns the number of statically condensed DOFs for the velocity.

size_t	numStaticallyCondensedDofsPressure () const
	Returns the number of statically condensed DOFs for the pressure.

size_t	numStaticallyCondensedDofs () const
	Returns the number of statically condensed DOFs.

size_t	numDirichletDofs () const
	Returns the number of Dirichlet DOFs.

size_t	dimVelocity () const
	Returns the dimension of velocity space.

size_t	dimPressure () const
	Returns the dimension of pressure space.

size_t	numNonStaticallyCondensedDofs () const
	Returns the number of DOFs after SC and with Lagrange multiplier, but before eliminating Dirichlet DOFs.

size_t	sizeSystem () const
	Returns the size of the final system with Lagrange multiplier, after application of SC and removal of Dirichlet BCs.

size_t	numNonStaticallyCondensedDofsVelocity () const
	Returns the number of non statically condensed DOFs for the velocity.

size_t	numNonStaticallyCondensedDofsPressure () const
	Returns the number of non statically condensed DOFs for the pressure.

const DiscreteSpace &	velocitySpace () const
	Returns the velocity space.

const DiscreteSpace &	pressureSpace () const
	Returns the pressure space.

const Mesh &	mesh () const
	Returns the mesh.

const SystemMatrixType &	systemMatrix () const
	Returns the linear system matrix.

SystemMatrixType &	systemMatrix ()
	Returns the linear system matrix.

const Eigen::VectorXd &	systemVector () const
	Returns the linear system right-hand side vector.

Eigen::VectorXd &	systemVector ()
	Returns the linear system right-hand side vector.

const SystemMatrixType &	staticallyCondensedMatrix () const
	Returns the static condensation recovery operator.

const Eigen::VectorXd &	staticallyCondensedVector () const
	Returns the static condensation rhs.

const BoundaryConditions &	boundaryConditions () const
	Returns the boundary condition handler.

void	assembleResidualSystem (const HArDCore2D::MHDSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old, const Eigen::VectorXd &uph_prev, const Eigen::VectorXd &brh_old, const Eigen::VectorXd &brh_prev, const double time_step, const double current_time)
	Assemble the global system.

void	assembleResidualSystem (const HArDCore2D::MHDSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old, const Eigen::VectorXd &brh_old)

Eigen::VectorXd	reconstructSolution (const Eigen::VectorXd &uhp_solsystem) const
	Reconstruct the solution from the vector of non-statically-condensed DOFs.

Additional Inherited Members
Protected Member Functions inherited from HArDCore2D::DSL::HYPRE
void	_construct_local_operators (size_t iT)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_time_deriv_term (size_t iT, const Eigen::VectorXd &uT_old, const Eigen::VectorXd &uT_prev, const double time_step)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_viscous_term (size_t iT, const Eigen::VectorXd &uT_old)

virtual std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_nonlinear_viscous_term (size_t iT, const Eigen::VectorXd &uT_old)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_compute_local_contribution (size_t iT, const HArDCore2D::NavierStokesSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old, const Eigen::VectorXd &uph_prev, const double time_step, const double current_time)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_compute_local_contribution (size_t iT, const HArDCore2D::NavierStokesSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old)

LocalStaticCondensation	_compute_static_condensation (const size_t &iT)

void	_assemble_local_contribution (size_t iT, const std::pair< Eigen::MatrixXd, Eigen::VectorXd > &lsT, std::list< Eigen::Triplet< double > > &A1, Eigen::VectorXd &b1, std::list< Eigen::Triplet< double > > &A2, Eigen::VectorXd &b2)

void	_construct_local_operators (size_t iT)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_time_deriv_term (size_t iT, const Eigen::VectorXd &uT_old, const Eigen::VectorXd &uT_prev, const double time_step)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_viscous_term (size_t iT, const Eigen::VectorXd &uT_old)

virtual std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_darcy_term (size_t iT, const Eigen::VectorXd &uT_old)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_compute_local_contribution (size_t iT, const HArDCore2D::NavierStokesSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old, const Eigen::VectorXd &uph_prev, const double time_step, const double current_time)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_compute_local_contribution (size_t iT, const HArDCore2D::NavierStokesSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old)

LocalStaticCondensation	_compute_static_condensation (const size_t &iT)

void	_assemble_local_contribution (size_t iT, const std::pair< Eigen::MatrixXd, Eigen::VectorXd > &lsT, std::list< Eigen::Triplet< double > > &A1, Eigen::VectorXd &b1, std::list< Eigen::Triplet< double > > &A2, Eigen::VectorXd &b2)

void	_construct_local_operators (size_t iT)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_time_deriv_term (size_t iT, const Eigen::VectorXd &uT_old, const Eigen::VectorXd &uT_prev, const double time_step)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_viscous_term (size_t iT, const Eigen::VectorXd &uT_old)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_magnetic_diffusive_term (size_t iT, const Eigen::VectorXd &bT_old)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_compute_local_contribution (size_t iT, const HArDCore2D::MHDSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old, const Eigen::VectorXd &uph_prev, const Eigen::VectorXd &brh_old, const Eigen::VectorXd &brh_prev, const double time_step, const double current_time)

std::pair< Eigen::MatrixXd, Eigen::VectorXd >	_compute_local_contribution (size_t iT, const HArDCore2D::MHDSolutions::IExactSolution *isolution, const Eigen::VectorXd &uph_old, const Eigen::VectorXd &brh_old)

LocalStaticCondensation	_compute_static_condensation (const size_t &iT)

void	_assemble_local_contribution (size_t iT, const std::pair< Eigen::MatrixXd, Eigen::VectorXd > &lsT, std::list< Eigen::Triplet< double > > &A1, Eigen::VectorXd &b1, std::list< Eigen::Triplet< double > > &A2, Eigen::VectorXd &b2)

Protected Attributes inherited from HArDCore2D::DSL::HYPRE
size_t	m_degree

const BoundaryConditions &	m_bc

bool	m_static_condensation

bool	m_use_threads

double	m_stabilization_parameter

double	m_viscosity

double	m_flow_index

double	m_degen_param

std::ostream &	m_output

size_t	m_nloc_sc_u

size_t	m_nloc_sc_p

std::vector< Eigen::MatrixXd >	m_discrete_l2

std::vector< Eigen::MatrixXd >	m_gradient

std::vector< Eigen::MatrixXd >	m_gradient_rhs

std::vector< Eigen::MatrixXd >	m_symgradient

std::vector< Eigen::MatrixXd >	m_symgradient_rhs

std::vector< Eigen::MatrixXd >	m_potential

std::vector< Eigen::MatrixXd >	m_stabilization

std::unique_ptr< DiscreteSpace >	m_velocity_space

std::unique_ptr< DiscreteSpace >	m_pressure_space

SystemMatrixType	m_A

Eigen::VectorXd	m_b

SystemMatrixType	m_sc_A

Eigen::VectorXd	m_sc_b

std::vector< int >	m_nsc_to_dof_map

std::vector< int >	m_sc_to_dof_map

double	m_permeability

bool	m_upwinding

double	m_magnetic_diffusivity

Member Typedef Documentation

◆ CellDofsMapType [1/3]

typedef boost::fusion::map<boost::fusion::pair<RolyCellType, std::string>, boost::fusion::pair<RolyComplCellType, std::string> > HArDCore2D::DSL::RTNPkPkPk::CellDofsMapType

◆ CellDofsMapType [2/3]

typedef boost::fusion::map<boost::fusion::pair<RolyCellType, std::string>, boost::fusion::pair<RolyComplCellType, std::string> > HArDCore2D::DSL::RTNPkPkPk::CellDofsMapType

◆ CellDofsMapType [3/3]

typedef boost::fusion::map<boost::fusion::pair<RolyCellType, std::string>, boost::fusion::pair<RolyComplCellType, std::string> > HArDCore2D::DSL::RTNPkPkPk::CellDofsMapType

Constructor & Destructor Documentation

◆ RTNPkPkPk() [1/3]

RTNPkPkPk::RTNPkPkPk	(	const Mesh &	mesh,
		size_t	degree,
		const BoundaryConditions &	bc,
		const HYPREParameters &	parameters
	)

Constructor.

◆ RTNPkPkPk() [2/3]

HArDCore2D::DSL::RTNPkPkPk::RTNPkPkPk	(	const Mesh &	mesh,
		size_t	degree,
		const BoundaryConditions &	bc,
		const HYPREParameters &	parameters
	)

Constructor.

◆ RTNPkPkPk() [3/3]

HArDCore2D::DSL::RTNPkPkPk::RTNPkPkPk	(	const Mesh &	mesh,
		size_t	degree,
		const BoundaryConditions &	bc,
		const HYPREParameters &	parameters
	)

Constructor.

Member Function Documentation

◆ cellDofsMap() [1/3]

const CellDofsMapType & HArDCore2D::DSL::RTNPkPkPk::cellDofsMap ( ) const

inline

Return cell DOFs map.

◆ cellDofsMap() [2/3]

const CellDofsMapType & HArDCore2D::DSL::RTNPkPkPk::cellDofsMap ( ) const

inline

Return cell DOFs map.

◆ cellDofsMap() [3/3]

const CellDofsMapType & HArDCore2D::DSL::RTNPkPkPk::cellDofsMap ( ) const

inline

Return cell DOFs map.

◆ convective_stabilization_parameter() [1/3]

double RTNPkPkPk::convective_stabilization_parameter	(	size_t	iT,
		const HArDCore2D::MHDSolutions::IExactSolution *	isolution,
		const Eigen::VectorXd &	uT_old,
		const Eigen::VectorXd &	bT_old,
		const size_t	cell_degree,
		const double	viscosity,
		const double	magnetic_diffusivity,
		const double	current_time
	)		const

virtual

Evaluates convective stabilisation parameter.

Reimplemented from HArDCore2D::DSL::HYPRE.

◆ convective_stabilization_parameter() [2/3]

double RTNPkPkPk::convective_stabilization_parameter	(	size_t	iT,
		const HArDCore2D::NavierStokesSolutions::IExactSolution *	isolution,
		const size_t	cell_degree,
		const double	viscosity,
		const Eigen::VectorXd	uT_old,
		const double	current_time = `0.`
	)		const

virtual

Evaluates convective stabilisation parameter.

Reimplemented from HArDCore2D::DSL::HYPRE.

◆ convective_stabilization_parameter() [3/3]

double HArDCore2D::DSL::RTNPkPkPk::convective_stabilization_parameter	(	size_t	iT,
		const HArDCore2D::NavierStokesSolutions::IExactSolution *	isolution,
		const size_t	cell_degree,
		const double	viscosity,
		const Eigen::VectorXd	uT_old,
		const double	current_time = `0.`
	)		const

virtual

Evaluates convective stabilisation parameter.

Reimplemented from HArDCore2D::DSL::HYPRE.

◆ extendCellDofs() [1/3]

Eigen::VectorXd RTNPkPkPk::extendCellDofs ( const Eigen::VectorXd & vh ) const

Extend cell DOFs from \(\mathcal{RTN}^{k+1}(T)\) to \(\mathcal{P}^{k+1}(T)^d\).

◆ extendCellDofs() [2/3]

Eigen::VectorXd HArDCore2D::DSL::RTNPkPkPk::extendCellDofs ( const Eigen::VectorXd & vh ) const

Extend cell DOFs from \(\mathcal{RTN}^{k+1}(T)\) to \(\mathcal{P}^{k+1}(T)^d\).

◆ extendCellDofs() [3/3]

Eigen::VectorXd HArDCore2D::DSL::RTNPkPkPk::extendCellDofs ( const Eigen::VectorXd & vh ) const

Extend cell DOFs from \(\mathcal{RTN}^{k+1}(T)\) to \(\mathcal{P}^{k+1}(T)^d\).

◆ extendedDofsSpace() [1/3]

const DiscreteSpace & HArDCore2D::DSL::RTNPkPkPk::extendedDofsSpace ( ) const

inline

Return the discrete space corresponding to the extended DOFs.

◆ extendedDofsSpace() [2/3]

const DiscreteSpace & HArDCore2D::DSL::RTNPkPkPk::extendedDofsSpace ( ) const

inline

Return the discrete space corresponding to the extended DOFs.

◆ extendedDofsSpace() [3/3]

const DiscreteSpace & HArDCore2D::DSL::RTNPkPkPk::extendedDofsSpace ( ) const

inline

Return the discrete space corresponding to the extended DOFs.

◆ interpolate() [1/3]

Eigen::VectorXd RTNPkPkPk::interpolate	(	const VelocityType &	u,
		const PressureType &	p
	)		const

virtual

Interpolate both velocity and pressure.

Parameters

u	Continuous velocity to interpolate
p	Continuous pressure to interpolate

Implements HArDCore2D::DSL::HYPRE.

◆ interpolate() [2/3]

Eigen::VectorXd HArDCore2D::DSL::RTNPkPkPk::interpolate	(	const VelocityType &	u,
		const PressureType &	p
	)		const

virtual

Interpolate both velocity and pressure.

Parameters

u	Continuous velocity to interpolate
p	Continuous pressure to interpolate

Implements HArDCore2D::DSL::HYPRE.

◆ interpolate() [3/3]

Eigen::VectorXd HArDCore2D::DSL::RTNPkPkPk::interpolate	(	const VelocityType &	u,
		const PressureType &	p
	)		const

virtual

Interpolate both velocity and pressure.

Parameters

u	Continuous velocity to interpolate
p	Continuous pressure to interpolate

Implements HArDCore2D::DSL::HYPRE.

◆ magnetic_convective_stabilization_parameter()

double RTNPkPkPk::magnetic_convective_stabilization_parameter	(	size_t	iT,
		const HArDCore2D::MHDSolutions::IExactSolution *	isolution,
		const Eigen::VectorXd &	uT_old,
		const Eigen::VectorXd &	bT_old,
		const size_t	cell_degree,
		const double	viscosity,
		const double	magnetic_diffusivity,
		const double	current_time
	)		const

virtual

Reimplemented from HArDCore2D::DSL::HYPRE.

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

Schemes/HHO-hypre-nnns/rtn-pk-pk-pk.hpp
Schemes/HHO-HYPRE/HYPRE/rtn-pk-pk-pk.hpp
Schemes/HYPRE-MHD/rtn-pk-pk-pk.hpp
Schemes/HHO-hypre-nnns/rtn-pk-pk-pk.cpp
Schemes/HHO-HYPRE/HYPRE/rtn-pk-pk-pk.cpp
Schemes/HYPRE-MHD/rtn-pk-pk-pk.cpp

Public Types

Public Member Functions

Additional Inherited Members

Member Typedef Documentation

◆ CellDofsMapType [1/3]

◆ CellDofsMapType [2/3]

◆ CellDofsMapType [3/3]

Constructor & Destructor Documentation

◆ RTNPkPkPk() [1/3]

◆ RTNPkPkPk() [2/3]

◆ RTNPkPkPk() [3/3]

Member Function Documentation

◆ cellDofsMap() [1/3]

◆ cellDofsMap() [2/3]

◆ cellDofsMap() [3/3]

◆ convective_stabilization_parameter() [1/3]

◆ convective_stabilization_parameter() [2/3]

◆ convective_stabilization_parameter() [3/3]

◆ extendCellDofs() [1/3]

◆ extendCellDofs() [2/3]

◆ extendCellDofs() [3/3]

◆ extendedDofsSpace() [1/3]

◆ extendedDofsSpace() [2/3]

◆ extendedDofsSpace() [3/3]

◆ interpolate() [1/3]

◆ interpolate() [2/3]

◆ interpolate() [3/3]

◆ magnetic_convective_stabilization_parameter()