Nektar::RCROutflow Class Reference

A global linear system. More...

#include <RCROutflow.h>

Inheritance diagram for Nektar::RCROutflow:

Public Member Functions
	RCROutflow (Array< OneD, MultiRegions::ExpListSharedPtr > pVessel, const LibUtilities::SessionReaderSharedPtr pSession, PulseWavePressureAreaSharedPtr pressureArea)
virtual	~RCROutflow ()
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)
void	R_RiemannSolver (NekDouble R, NekDouble A_l, NekDouble u_l, NekDouble A_0, NekDouble beta, NekDouble pout, NekDouble &A_u, NekDouble &u_u)

Protected Attributes
NekDouble	m_timestep
NekDouble	m_pc
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 50 of file RCROutflow.h.

Constructor & Destructor Documentation

RCROutflow()

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

Definition at line 52 of file RCROutflow.cpp.

References Nektar::PulseWaveBoundary::m_session, and m_timestep.

        : PulseWaveBoundary(pVessel,pSession,pressureArea)
    {
        m_session->LoadParameter("TimeStep", m_timestep);
    }

~RCROutflow()

Nektar::RCROutflow::~RCROutflow ( )

virtual

Definition at line 63 of file RCROutflow.cpp.

    {

    }

Member Function Documentation

create()

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

inlinestatic

Creates an instance of this class.

Definition at line 54 of file RCROutflow.h.

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

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

R_RiemannSolver()

void Nektar::RCROutflow::R_RiemannSolver ( NekDouble  R, NekDouble  A_l, NekDouble  u_l, NekDouble  A_0, NekDouble  beta, NekDouble  pout, NekDouble &  A_u, NekDouble &  u_u  )

protected

Definition at line 125 of file RCROutflow.cpp.

References Nektar::PulseWaveBoundary::m_pext, and Nektar::PulseWaveBoundary::m_rho.

Referenced by v_DoBoundary().

   {        
        NekDouble W1 = 0.0;
        NekDouble c_l = 0.0;
        NekDouble pext = m_pext;
        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;
        
        // Calculate the wave speed
        c_l = sqrt(beta/(2*rho))*sqrt(sqrt(A_l));
    
        // Riemann invariant \f$W_1(Al,ul)\f$
        W1 = u_l + 4*c_l;
        
        // Newton Iteration (Area only)
        A_calc = A_l;
        while ((proceed) && (iter < MAX_ITER))
        {   
            iter =iter+1;
        
            fa = R*W1*A_calc-4*R*sqrt(beta/(2*rho))*A_calc*sqrt(sqrt(A_calc))-pext-beta*(sqrt(A_calc)-sqrt(A_0))+pout;
            dfa = R*W1-5*R*sqrt(beta/(2*rho))*sqrt(sqrt(A_calc))-beta/(2*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
    //u_u = W1 - 4*sqrt(beta/(2*rho))*(sqrt(sqrt(A_calc))); 
        u_u=(pext+beta*(sqrt(A_calc)-sqrt(A_0))-pout)/(R*A_calc);
        A_u = A_calc;
    }

v_DoBoundary()

void Nektar::RCROutflow::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 68 of file RCROutflow.cpp.

References m_pc, Nektar::PulseWaveBoundary::m_pout, Nektar::PulseWaveBoundary::m_rho, Nektar::PulseWaveBoundary::m_session, m_timestep, Nektar::PulseWaveBoundary::m_vessels, and R_RiemannSolver().

    { 
    NekDouble A_r, u_r;
    NekDouble A_u, u_u;
        NekDouble A_l, u_l, c_0;

        Array<OneD, MultiRegions::ExpListSharedPtr> vessel(2);

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

        /* Find the terminal RCR boundary condition and calculates
           the updated velocity and area as well as the updated
           boundary conditions */

        NekDouble RT=((vessel[0]->GetBndCondExpansions())[n])->GetCoeffs()[0];
        NekDouble C=((vessel[1]->GetBndCondExpansions())[n])->GetCoeffs()[0];

        m_session->LoadParameter("pout", m_pout);

        NekDouble R1;
        NekDouble R2;
        NekDouble pout = m_pout;

        NekDouble rho = m_rho;
        int nq = vessel[0]->GetTotPoints(); 
                        
        A_l = inarray[0][offset+nq-1];
        u_l = inarray[1][offset+nq-1];

        // Goes through the first resistance Calculate c_0
        c_0 = sqrt(beta[omega][nq-1]/(2*m_rho))*sqrt(sqrt(A_0[omega][nq-1]));           
                        
        // Calculate R1 and R2, R1 being calculated so as
        // to eliminate reflections in the vessel
        R1 = rho*c_0/A_0[omega][nq-1];
        R2 = RT-R1;

        // Call the R RiemannSolver
        R_RiemannSolver(R1,A_l,u_l,A_0[omega][nq-1],beta[omega][nq-1],m_pc,A_u,u_u);
        A_r = A_l;
        u_r = 2*u_u-u_l;

        // Goes through the CR system, it consists in
        // updating the pressure pc
        m_pc = m_pc + m_timestep/C*(A_u*u_u-(m_pc-pout)/R2);

        // Store the updated values in the boundary condition
        (vessel[0]->UpdateBndCondExpansion(n))->UpdatePhys()[0] = A_r;
        (vessel[1]->UpdateBndCondExpansion(n))->UpdatePhys()[0] = u_r;
    }

Member Data Documentation

className

std::string Nektar::RCROutflow::className

static

Initial value:

= GetBoundaryFactory().RegisterCreatorFunction(
        "RCR-terminal",
        RCROutflow::create,
        "RCR  outflow boundary condition")

Name of class.

Definition at line 62 of file RCROutflow.h.

m_pc

NekDouble Nektar::RCROutflow::m_pc

protected

Definition at line 82 of file RCROutflow.h.

Referenced by v_DoBoundary().

m_timestep

NekDouble Nektar::RCROutflow::m_timestep

protected

Definition at line 80 of file RCROutflow.h.

Referenced by RCROutflow(), and v_DoBoundary().