Nektar::QInflow Class Reference

A global linear system. More...

#include <QInflow.h>

Inheritance diagram for Nektar::QInflow:

Collaboration diagram for Nektar::QInflow:

Public Member Functions
	QInflow (Array< OneD, MultiRegions::ExpListSharedPtr > pVessel, const LibUtilities::SessionReaderSharedPtr pSession, PulseWavePressureAreaSharedPtr pressureArea)
virtual	~QInflow ()
Public Member Functions inherited from Nektar::PulseWaveBoundary
	PulseWaveBoundary (Array< OneD, MultiRegions::ExpListSharedPtr > &pVessel, const LibUtilities::SessionReaderSharedPtr &pSession, PulseWavePressureAreaSharedPtr &pressureArea)
virtual	~PulseWaveBoundary ()
void	DoBoundary (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &A_0, Array< OneD, Array< OneD, NekDouble > > &beta, const NekDouble time, int omega, int offset, int n)

Static Public Member Functions
static PulseWaveBoundarySharedPtr	create (Array< OneD, MultiRegions::ExpListSharedPtr > &pVessel, const LibUtilities::SessionReaderSharedPtr &pSession, PulseWavePressureAreaSharedPtr &pressureArea)
	Creates an instance of this class. More...

Static Public Attributes
static std::string	className
	Name of class. More...

Protected Member Functions
virtual void	v_DoBoundary (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &A_0, Array< OneD, Array< OneD, NekDouble > > &beta, const NekDouble time, int omega, int offset, int n)

Private Member Functions
void	Q_RiemannSolver (NekDouble Q, NekDouble A_r, NekDouble u_r, NekDouble A_0, NekDouble beta, NekDouble &Au, NekDouble &uu)

Additional Inherited Members
Protected Attributes inherited from Nektar::PulseWaveBoundary
Array< OneD, MultiRegions::ExpListSharedPtr >	m_vessels
LibUtilities::SessionReaderSharedPtr	m_session
PulseWavePressureAreaSharedPtr	m_pressureArea
NekDouble	m_pext
NekDouble	m_pout
NekDouble	m_rho

Detailed Description

A global linear system.

Definition at line 51 of file QInflow.h.

Constructor & Destructor Documentation

Nektar::QInflow::QInflow	(	Array< OneD, MultiRegions::ExpListSharedPtr >	pVessel,
		const LibUtilities::SessionReaderSharedPtr	pSession,
		PulseWavePressureAreaSharedPtr	pressureArea
	)

Definition at line 52 of file QInflow.cpp.

        : PulseWaveBoundary(pVessel,pSession,pressureArea)
    {
    }

Nektar::QInflow::~QInflow ( )

virtual

Definition at line 62 of file QInflow.cpp.

    {

    }

Member Function Documentation

static PulseWaveBoundarySharedPtr Nektar::QInflow::create ( Array< OneD, MultiRegions::ExpListSharedPtr > &  pVessel, const LibUtilities::SessionReaderSharedPtr &  pSession, PulseWavePressureAreaSharedPtr &  pressureArea  )

inlinestatic

Creates an instance of this class.

Definition at line 55 of file QInflow.h.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr().

        {
            return MemoryManager<QInflow>::AllocateSharedPtr(pVessel,pSession,pressureArea);
        }

void Nektar::QInflow::Q_RiemannSolver ( NekDouble  Q, NekDouble  A_r, NekDouble  u_r, NekDouble  A_0, NekDouble  beta, NekDouble &  Au, NekDouble &  uu  )

private

Q-inflow Riemann solver for pulse wave propagation. This Riemann solver is called by DoOdeProjection in case of a Q-inflow boundary condition. It is based on the conservation of mass and total pressure and on the characteristic information. For further details see "Pulse wave propagation in the human vascular system", section 3.4.1 Returns the upwinded quantities and stores them into the boundary values

Definition at line 114 of file QInflow.cpp.

References Nektar::PulseWaveBoundary::m_rho.

Referenced by v_DoBoundary().

    {       
        NekDouble W2 = 0.0;
        NekDouble A_calc = 0.0;
        NekDouble fa = 0.0;
        NekDouble dfa = 0.0;
        NekDouble delta_A_calc = 0.0;
        NekDouble rho = m_rho; 
    
        int proceed = 1;
        int iter = 0;
        int MAX_ITER = 200;
    
        // Tolerances for the algorithm
        NekDouble Tol = 1.0e-10;
    
        // Riemann invariant \f$W_2(Ar,ur)\f$
        W2 = u_r - 4*sqrt(beta/(2*rho))*sqrt(sqrt(A_r));
    
        // Newton Iteration (Area only)
        A_calc = A_r;
        while ((proceed) && (iter < MAX_ITER))
        {   
            iter =iter+1;
            
            fa = Q - W2*A_calc - A_calc*4*sqrt(beta/(2*rho))*sqrt(sqrt(A_calc));
            dfa = -W2 - 5*sqrt(beta/(2*rho))*sqrt(sqrt(A_calc));
            delta_A_calc = fa/dfa;
            A_calc = A_calc - delta_A_calc;
            
            if (sqrt(delta_A_calc*delta_A_calc) < Tol)
                proceed = 0;
        }
    
        // Obtain u_u and A_u
        uu = W2+4*sqrt(beta/(2*rho))*sqrt(sqrt(A_calc)); 
        Au = A_calc;
    }

void Nektar::QInflow::v_DoBoundary ( const Array< OneD, const Array< OneD, NekDouble > > &  inarray, Array< OneD, Array< OneD, NekDouble > > &  A_0, Array< OneD, Array< OneD, NekDouble > > &  beta, const NekDouble  time, int  omega, int  offset, int  n  )

protectedvirtual

Implements Nektar::PulseWaveBoundary.

Definition at line 67 of file QInflow.cpp.

References Nektar::PulseWaveBoundary::m_vessels, and Q_RiemannSolver().

    { 
    NekDouble Q, A_u, u_u;
        NekDouble A_r, u_r, A_l, u_l;
        Array<OneD, MultiRegions::ExpListSharedPtr>     vessel(2);

        vessel[0] = m_vessels[2*omega];
        vessel[1] = m_vessels[2*omega+1];

        vessel[0]->EvaluateBoundaryConditions(time);

        // Note: The Q value is contained in A in the
        // inputfile, the value in u has to be 1.0
        //ASSERTL0((vessel[1]->UpdateBndCondExpansion(n))->UpdatePhys()[0] == 1.0, "For the Q-inflow BC the value in u must be 1.0");
                    
        // Get the values of all variables needed for the Riemann problem
        Q = (vessel[0]->UpdateBndCondExpansion(n))->GetCoeffs()[0];

        A_r = inarray[0][offset];
        u_r = inarray[1][offset];

        // Call the Q-inflow Riemann solver
        Q_RiemannSolver(Q,A_r,u_r,A_0[omega][0],beta[omega][0],A_u,u_u);

        // Set the boundary conditions to  prescribe
        A_l=A_r;
        u_l=2*u_u-u_r;
                        
        // Store the updated values in the boundary condition
        (vessel[0]->UpdateBndCondExpansion(n))->UpdatePhys()[0] = A_l;
        (vessel[1]->UpdateBndCondExpansion(n))->UpdatePhys()[0] = u_l;
    }

Member Data Documentation

std::string Nektar::QInflow::className

static

Initial value:

= GetBoundaryFactory().RegisterCreatorFunction(
        "Q-inflow",
        QInflow::create,
        "Inflow boundary condition")

Name of class.

Definition at line 63 of file QInflow.h.