Nektar::UpwindPulseSolver Class Reference

#include <UpwindPulseSolver.h>

Inheritance diagram for Nektar::UpwindPulseSolver:

Static Public Member Functions
static RiemannSolverSharedPtr	create (const LibUtilities::SessionReaderSharedPtr &pSession)

Static Public Attributes
static std::string	solverName

Protected Member Functions
	UpwindPulseSolver (const LibUtilities::SessionReaderSharedPtr &pSession)
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) override
void	RiemannSolverUpwind (NekDouble AL, NekDouble uL, NekDouble AR, NekDouble uR, NekDouble &Aflux, NekDouble &uflux, NekDouble A0, NekDouble beta, NekDouble n, NekDouble alpha=0.5)
Protected Member Functions inherited from Nektar::SolverUtils::RiemannSolver
SOLVER_UTILS_EXPORT	RiemannSolver ()
SOLVER_UTILS_EXPORT	RiemannSolver (const LibUtilities::SessionReaderSharedPtr &pSession)
virtual SOLVER_UTILS_EXPORT	~RiemannSolver ()
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)=0
SOLVER_UTILS_EXPORT 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...
virtual SOLVER_UTILS_EXPORT void	v_CalcFluxJacobian (const int nDim, const Array< OneD, const Array< OneD, NekDouble > > &Fwd, const Array< OneD, const Array< OneD, NekDouble > > &Bwd, const Array< OneD, const Array< OneD, NekDouble > > &normals, DNekBlkMatSharedPtr &FJac, DNekBlkMatSharedPtr &BJac)

Protected Attributes
LibUtilities::SessionReaderSharedPtr	m_session
int	m_nVariables
Array< OneD, MultiRegions::ExpListSharedPtr >	m_vessels
PulseWavePressureAreaSharedPtr	m_pressureArea
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...

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)
void	SetAuxVec (std::string name, RSVecFuncType fp)
std::map< std::string, RSScalarFuncType > &	GetScalars ()
std::map< std::string, RSVecFuncType > &	GetVectors ()
std::map< std::string, RSParamFuncType > &	GetParams ()
SOLVER_UTILS_EXPORT void	CalcFluxJacobian (const int nDim, const Array< OneD, const Array< OneD, NekDouble > > &Fwd, const Array< OneD, const Array< OneD, NekDouble > > &Bwd, DNekBlkMatSharedPtr &FJac, DNekBlkMatSharedPtr &BJac)
	Calculate the flux jacobian of Fwd and Bwd. More...
Public Attributes inherited from Nektar::SolverUtils::RiemannSolver
int	m_spacedim

Detailed Description

Definition at line 47 of file UpwindPulseSolver.h.

Constructor & Destructor Documentation

UpwindPulseSolver()

Nektar::UpwindPulseSolver::UpwindPulseSolver ( const LibUtilities::SessionReaderSharedPtr &  pSession )

protected

Definition at line 44 of file UpwindPulseSolver.cpp.

    : RiemannSolver(pSession), m_session(pSession)
{
}

Referenced by create().

Member Function Documentation

create()

static RiemannSolverSharedPtr Nektar::UpwindPulseSolver::create ( const LibUtilities::SessionReaderSharedPtr &  pSession )

inlinestatic

Definition at line 50 of file UpwindPulseSolver.h.

    {
        return RiemannSolverSharedPtr(new UpwindPulseSolver(pSession));
    }

References UpwindPulseSolver().

RiemannSolverUpwind()

void Nektar::UpwindPulseSolver::RiemannSolverUpwind ( NekDouble  AL, NekDouble  uL, NekDouble  AR, NekDouble  uR, NekDouble &  Aflux, NekDouble &  uflux, NekDouble  A0, NekDouble  beta, NekDouble  n, NekDouble  alpha = 0.5  )

protected

Riemann solver for upwinding at an interface between two elements. Uses the characteristic variables for calculating the upwinded state \((A_u, u_u)\) from the left \((A_L, u_L)\) and right state \((A_R, u_R)\). Returns the upwinded flux $\mathbf{F}^u$ needed for the weak formulation (1). Details can be found in "Pulse wave propagation in the human vascular system", section 3.3

Definition at line 94 of file UpwindPulseSolver.cpp.

{
    NekDouble W1 = 0.0;
    NekDouble W2 = 0.0;
    NekDouble IL = 0.0;
    NekDouble IR = 0.0;
    NekDouble Au = 0.0;
    NekDouble uu = 0.0;
    NekDouble cL = 0.0;
    NekDouble cR = 0.0;
    NekDouble P  = 0.0;
 
    ASSERTL1(CheckParams("rho"), "rho not defined.");
    NekDouble rho      = m_params["rho"]();
    NekDouble nDomains = m_params["domains"]();
 
    m_nVariables = m_session->GetVariables().size();
 
    m_vessels =
        Array<OneD, MultiRegions::ExpListSharedPtr>(m_nVariables * nDomains);
 
    if (m_session->DefinesSolverInfo("PressureArea"))
    {
        m_pressureArea = GetPressureAreaFactory().CreateInstance(
            m_session->GetSolverInfo("PressureArea"), m_vessels, m_session);
    }
    else
    {
        m_pressureArea = GetPressureAreaFactory().CreateInstance(
            "Beta", m_vessels, m_session);
    }
 
    // Compute the wave speeds to check dynamics are sub-sonic
    m_pressureArea->GetC(cL, beta, AL, A0, alpha);
    m_pressureArea->GetC(cR, beta, AR, A0, alpha);
    ASSERTL1(fabs(cL + cR) > fabs(uL + uR), "Conditions are not sub-sonic");
 
    /*
    Calculate the characteristics. The use of the normal here allows
    for the definition of the characteristics (and hence the left
    and right state) to be inverted if n is in the -ve
    x-direction. This means we end up with the positive
    defintion of the flux which has to therefore be multiplied
    by the normal at the end of the method. This is a bit of a
    mind twister but is efficient from a coding perspective.
    */
    m_pressureArea->GetCharIntegral(IL, beta, AL, A0, alpha);
    m_pressureArea->GetCharIntegral(IR, beta, AR, A0, alpha);
    W1 = uL + n * IL;
    W2 = uR - n * IR;
 
    // Calculate conservative variables from characteristics
    m_pressureArea->GetAFromChars(Au, n * W1, n * W2, beta, A0, alpha);
    m_pressureArea->GetUFromChars(uu, W1, W2);
 
    // Pressure for the energy flux
    m_pressureArea->GetPressure(P, beta, Au, A0, 0, 0, alpha);
 
    // Compute the fluxes multiplied by the normal
    Aflux = Au * uu * n;
    uflux = (uu * uu / 2 + P / rho) * n;
}

References ASSERTL1, Nektar::LibUtilities::beta, Nektar::SolverUtils::RiemannSolver::CheckParams(), Nektar::LibUtilities::NekFactory< tKey, tBase, tParam >::CreateInstance(), Nektar::GetPressureAreaFactory(), m_nVariables, Nektar::SolverUtils::RiemannSolver::m_params, m_pressureArea, m_session, m_vessels, and Nektar::LibUtilities::P.

Referenced by v_Solve().

v_Solve()

void Nektar::UpwindPulseSolver::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  )

overrideprotectedvirtual

Calculates the third term of the weak form (1): numerical flux at boundary \( \left[ \mathbf{\psi}^{\delta} \cdot \{ \mathbf{F}^u - \mathbf{F}(\mathbf{U}^{\delta}) \} \right]_{x_e^l}^{x_eû} \)

Implements Nektar::SolverUtils::RiemannSolver.

Definition at line 56 of file UpwindPulseSolver.cpp.

{
    int i;
    int nTracePts = Fwd[0].size();
 
    ASSERTL1(CheckScalars("A0"), "A0 not defined.");
    const Array<OneD, NekDouble> &A0 = m_scalars["A0"]();
 
    ASSERTL1(CheckScalars("beta"), "beta not defined.");
    const Array<OneD, NekDouble> &beta = m_scalars["beta"]();
 
    const Array<OneD, NekDouble> &alpha = m_scalars["alpha"]();
 
    ASSERTL1(CheckScalars("N"), "N not defined.");
    const Array<OneD, NekDouble> &N = m_scalars["N"]();
 
    for (i = 0; i < nTracePts; ++i)
    {
        RiemannSolverUpwind(Fwd[0][i], Fwd[1][i], Bwd[0][i], Bwd[1][i],
                            flux[0][i], flux[1][i], A0[i], beta[i], N[i],
                            alpha[i]);
    }
}

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

Member Data Documentation

m_nVariables

int Nektar::UpwindPulseSolver::m_nVariables

protected

Definition at line 62 of file UpwindPulseSolver.h.

Referenced by RiemannSolverUpwind().

m_pressureArea

PulseWavePressureAreaSharedPtr Nektar::UpwindPulseSolver::m_pressureArea

protected

Definition at line 64 of file UpwindPulseSolver.h.

Referenced by RiemannSolverUpwind().

m_session

LibUtilities::SessionReaderSharedPtr Nektar::UpwindPulseSolver::m_session

protected

Definition at line 61 of file UpwindPulseSolver.h.

Referenced by RiemannSolverUpwind().

m_vessels

Array<OneD, MultiRegions::ExpListSharedPtr> Nektar::UpwindPulseSolver::m_vessels

protected

Definition at line 63 of file UpwindPulseSolver.h.

Referenced by RiemannSolverUpwind().

solverName

std::string Nektar::UpwindPulseSolver::solverName

static

Initial value:

=
    SolverUtils::GetRiemannSolverFactory().RegisterCreatorFunction(
        "UpwindPulse", UpwindPulseSolver::create, "UpwindPulseSolver")

Definition at line 56 of file UpwindPulseSolver.h.