Upwind scheme Riemann solver. More...

#include <UpwindSolver.h>

Inheritance diagram for Nektar::SolverUtils::UpwindSolver:

Collaboration diagram for Nektar::SolverUtils::UpwindSolver:

Static Public Member Functions
static SOLVER_UTILS_EXPORT RiemannSolverSharedPtr	create ()

Static Public Attributes
static std::string	solverName

Protected Member Functions
	UpwindSolver ()
	Default constructor. More...

virtual void	v_Solve (const int nDim, const Array< OneD, const Array< OneD, NekDouble > > &Fwd, const Array< OneD, const Array< OneD, NekDouble > > &Bwd, Array< OneD, Array< OneD, NekDouble > > &flux)
	Implementation of the upwind solver. More...

Protected Member Functions inherited from Nektar::SolverUtils::RiemannSolver
SOLVER_UTILS_EXPORT	RiemannSolver ()

void	GenerateRotationMatrices (const Array< OneD, const Array< OneD, NekDouble > > &normals)
	Generate rotation matrices for 3D expansions. More...

void	FromToRotation (Array< OneD, const NekDouble > &from, Array< OneD, const NekDouble > &to, NekDouble *mat)
	A function for creating a rotation matrix that rotates a vector from into another vector to. More...

SOLVER_UTILS_EXPORT void	rotateToNormal (const Array< OneD, const Array< OneD, NekDouble > > &inarray, const Array< OneD, const Array< OneD, NekDouble > > &normals, const Array< OneD, const Array< OneD, NekDouble > > &vecLocs, Array< OneD, Array< OneD, NekDouble > > &outarray)
	Rotate a vector field to trace normal. More...

SOLVER_UTILS_EXPORT void	rotateFromNormal (const Array< OneD, const Array< OneD, NekDouble > > &inarray, const Array< OneD, const Array< OneD, NekDouble > > &normals, const Array< OneD, const Array< OneD, NekDouble > > &vecLocs, Array< OneD, Array< OneD, NekDouble > > &outarray)
	Rotate a vector field from trace normal. More...

SOLVER_UTILS_EXPORT bool	CheckScalars (std::string name)
	Determine whether a scalar has been defined in m_scalars. More...

SOLVER_UTILS_EXPORT bool	CheckVectors (std::string name)
	Determine whether a vector has been defined in m_vectors. More...

SOLVER_UTILS_EXPORT bool	CheckParams (std::string name)
	Determine whether a parameter has been defined in m_params. More...

SOLVER_UTILS_EXPORT bool	CheckAuxScal (std::string name)
	Determine whether a scalar has been defined in m_auxScal. More...

SOLVER_UTILS_EXPORT bool	CheckAuxVec (std::string name)
	Determine whether a vector has been defined in m_auxVec. More...

Additional Inherited Members
Public Member Functions inherited from Nektar::SolverUtils::RiemannSolver
SOLVER_UTILS_EXPORT void	Solve (const int nDim, const Array< OneD, const Array< OneD, NekDouble > > &Fwd, const Array< OneD, const Array< OneD, NekDouble > > &Bwd, Array< OneD, Array< OneD, NekDouble > > &flux)
	Perform the Riemann solve given the forwards and backwards spaces. More...

template<typename FuncPointerT , typename ObjectPointerT >
void	SetScalar (std::string name, FuncPointerT func, ObjectPointerT obj)

void	SetScalar (std::string name, RSScalarFuncType fp)

template<typename FuncPointerT , typename ObjectPointerT >
void	SetVector (std::string name, FuncPointerT func, ObjectPointerT obj)

void	SetVector (std::string name, RSVecFuncType fp)

template<typename FuncPointerT , typename ObjectPointerT >
void	SetParam (std::string name, FuncPointerT func, ObjectPointerT obj)

void	SetParam (std::string name, RSParamFuncType fp)

template<typename FuncPointerT , typename ObjectPointerT >
void	SetAuxScal (std::string name, FuncPointerT func, ObjectPointerT obj)

template<typename FuncPointerT , typename ObjectPointerT >
void	SetAuxVec (std::string name, FuncPointerT func, ObjectPointerT obj)

std::map< std::string, RSScalarFuncType > &	GetScalars ()

std::map< std::string, RSVecFuncType > &	GetVectors ()

std::map< std::string, RSParamFuncType > &	GetParams ()

Public Attributes inherited from Nektar::SolverUtils::RiemannSolver
int	m_spacedim

Protected Attributes inherited from Nektar::SolverUtils::RiemannSolver
bool	m_requiresRotation
	Indicates whether the Riemann solver requires a rotation to be applied to the velocity fields. More...

std::map< std::string, RSScalarFuncType >	m_scalars
	Map of scalar function types. More...

std::map< std::string, RSVecFuncType >	m_vectors
	Map of vector function types. More...

std::map< std::string, RSParamFuncType >	m_params
	Map of parameter function types. More...

std::map< std::string, RSScalarFuncType >	m_auxScal
	Map of auxiliary scalar function types. More...

std::map< std::string, RSVecFuncType >	m_auxVec
	Map of auxiliary vector function types. More...

Array< OneD, Array< OneD, NekDouble > >	m_rotMat
	Rotation matrices for each trace quadrature point. More...

Array< OneD, Array< OneD, Array< OneD, NekDouble > > >	m_rotStorage
	Rotation storage. More...

Detailed Description

Upwind scheme Riemann solver.

The upwind solver determines the flux based upon an advection velocity $\mathbf{V}$ and trace normal $\mathbf{n}$ . In particular, the flux for each component of the velocity field is deterined by:

$\mathbf{f}(u^+,u^-) = \begin{cases} \mathbf{V}u^+, & \mathbf{V}\cdot\mathbf{n} \geq 0,\\ \mathbf{V}u^-, & \mathbf{V}\cdot\mathbf{n} < 0.\end{cases}$

Here the superscript + and - denotes forwards and backwards spaces respectively.

Definition at line 46 of file library/SolverUtils/RiemannSolvers/UpwindSolver.h.

Constructor & Destructor Documentation

Nektar::SolverUtils::UpwindSolver::UpwindSolver ( )

protected

Default constructor.

Definition at line 66 of file library/SolverUtils/RiemannSolvers/UpwindSolver.cpp.

Referenced by create().

                                    :
             RiemannSolver()
         {
         }

Member Function Documentation

static SOLVER_UTILS_EXPORT RiemannSolverSharedPtr Nektar::SolverUtils::UpwindSolver::create ( )

inlinestatic

Definition at line 49 of file library/SolverUtils/RiemannSolvers/UpwindSolver.h.

References UpwindSolver().

             {
                 return RiemannSolverSharedPtr(
                     new UpwindSolver());
             }

void Nektar::SolverUtils::UpwindSolver::v_Solve	(	const int	nDim,
		const Array< OneD, const Array< OneD, NekDouble > > &	Fwd,
		const Array< OneD, const Array< OneD, NekDouble > > &	Bwd,
		Array< OneD, Array< OneD, NekDouble > > &	flux
	)

protectedvirtual

Implementation of the upwind solver.

The upwind solver assumes that a scalar field Vn is defined, which corresponds with the dot product $\mathbf{V}\cdot\mathbf{n}$ , where $\mathbf{V}$ is the advection velocity and $\mathbf{n}$ defines the normal of a vertex, edge or face at each quadrature point of the trace space.

Parameters

Fwd	Forwards trace space.
Bwd	Backwards trace space.
flux	Resulting flux.

Implements Nektar::SolverUtils::RiemannSolver.

Definition at line 84 of file library/SolverUtils/RiemannSolvers/UpwindSolver.cpp.

References ASSERTL1, Nektar::SolverUtils::RiemannSolver::CheckScalars(), and Nektar::SolverUtils::RiemannSolver::m_scalars.

         {
             ASSERTL1(CheckScalars("Vn"), "Vn not defined.");
             const Array<OneD, NekDouble> &traceVel = m_scalars["Vn"]();
             
             for (int j = 0; j < traceVel.num_elements(); ++j)
             {
                 const Array<OneD, const Array<OneD, NekDouble> > &tmp = 
                     traceVel[j] >= 0 ? Fwd : Bwd;
                 for (int i = 0; i < Fwd.num_elements(); ++i)
                 {
                     flux[i][j] = traceVel[j]*tmp[i][j];
                 }
             }
         }

Member Data Documentation

std::string Nektar::SolverUtils::UpwindSolver::solverName

static

Initial value:

= GetRiemannSolverFactory().

RegisterCreatorFunction("Upwind", UpwindSolver::create, "Upwind solver")

Definition at line 55 of file library/SolverUtils/RiemannSolvers/UpwindSolver.h.

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation