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Nektar::SolverUtils::UpwindSolver Class Reference

Upwind scheme Riemann solver. More...

#include <UpwindSolver.h>

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Static Public Member Functions

static SOLVER_UTILS_EXPORT
RiemannSolverSharedPtr 		create ()

Static Public Attributes

static std::string solverName

Protected Member Functions

 UpwindSolver ()
 Default constructor.
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.
- 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.
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.
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.
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.
bool CheckScalars (std::string name)
 Determine whether a scalar has been defined in m_scalars.
bool CheckVectors (std::string name)
 Determine whether a vector has been defined in m_vectors.
bool CheckParams (std::string name)
 Determine whether a parameter has been defined in m_params.
bool CheckAuxScal (std::string name)
 Determine whether a scalar has been defined in m_auxScal.
bool CheckAuxVec (std::string name)
 Determine whether a vector has been defined in m_auxVec.

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.
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.
std::map< std::string,
RSScalarFuncType > 		m_scalars
 Map of scalar function types.
std::map< std::string,
RSVecFuncType > 		m_vectors
 Map of vector function types.
std::map< std::string,
RSParamFuncType > 		m_params
 Map of parameter function types.
std::map< std::string,
RSScalarFuncType > 		m_auxScal
 Map of auxiliary scalar function types.
std::map< std::string,
RSVecFuncType > 		m_auxVec
 Map of auxiliary vector function types.
Array< OneD, Array< OneD,
NekDouble > > 		m_rotMat
 Rotation matrices for each trace quadrature point.
Array< OneD, Array< OneD,
Array< OneD, NekDouble > > > 		m_rotStorage
 Rotation storage.

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 UpwindSolver.h.

Constructor & Destructor Documentation

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

Default constructor.

Definition at line 66 of file 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 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
FwdForwards trace space.
BwdBackwards trace space.
fluxResulting flux.

Implements Nektar::SolverUtils::RiemannSolver.

Definition at line 84 of file 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 UpwindSolver.h.

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