NavierStokesImplicitCFE.h

Go to the documentation of this file.

///////////////////////////////////////////////////////////////////////////////
//
// File NavierStokesImplicitCFE.h
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: NavierStokes equations in conservative variable
//
///////////////////////////////////////////////////////////////////////////////
 
#ifndef NEKTAR_SOLVERS_COMPRESSIBLEFLOWSOLVER_NAVIERSTOKESIMPLICITCFE_H
#define NEKTAR_SOLVERS_COMPRESSIBLEFLOWSOLVER_NAVIERSTOKESIMPLICITCFE_H
 
#include <CompressibleFlowSolver/EquationSystems/NavierStokesCFE.h>
#include <CompressibleFlowSolver/EquationSystems/CompressibleFlowSystemImplicit.h>
#include <CompressibleFlowSolver/Misc/EquationOfState.h>
#include <LibUtilities/BasicUtils/Smath.hpp>
#include <MultiRegions/ContField.h>
 
namespace Nektar
{
  /**
   *
   *
   **/
  class NavierStokesImplicitCFE : virtual public NavierStokesCFE,
      virtual public CFSImplicit
  {
  public:
      friend class MemoryManager<NavierStokesImplicitCFE>;
 
    // Creates an instance of this class
    static SolverUtils::EquationSystemSharedPtr create(
        const LibUtilities::SessionReaderSharedPtr& pSession,
        const SpatialDomains::MeshGraphSharedPtr& pGraph)
    {
      SolverUtils::EquationSystemSharedPtr p =
          MemoryManager<NavierStokesImplicitCFE>::AllocateSharedPtr(pSession, pGraph);
      p->InitObject();
      return p;
    }
    // Name of class
    static std::string className;
 
    virtual ~NavierStokesImplicitCFE();
 
    typedef std::function<void (
            const Array<OneD, NekDouble>    &,
            const NekDouble                 &,
            const Array<OneD, NekDouble>    &,
                DNekMatSharedPtr            &)> GetdFlux_dDeriv;
 
  protected:
    Array<OneD, GetdFlux_dDeriv>        m_GetdFlux_dDeriv_Array;
 
    NavierStokesImplicitCFE(const LibUtilities::SessionReaderSharedPtr& pSession,
                    const SpatialDomains::MeshGraphSharedPtr& pGraph);
 
 
    virtual void v_InitObject();
 
    virtual void v_DoDiffusionCoeff(
        const Array<OneD, const Array<OneD, NekDouble>> &inarray,
              Array<OneD,       Array<OneD, NekDouble>> &outarray,
        const Array<OneD, const Array<OneD, NekDouble>> &pFwd,
        const Array<OneD, const Array<OneD, NekDouble>> &pBwd);
  
    virtual void v_MinusDiffusionFluxJacPoint(
        const int                                       nConvectiveFields,
        const int                                       nElmtPnt,
        const Array<OneD, const Array<OneD, NekDouble>> &locVars,
        const TensorOfArray3D<NekDouble>                &locDerv,
        const Array<OneD, NekDouble>                    &locmu,
        const Array<OneD, NekDouble>                    &locDmuDT,
        const Array<OneD, NekDouble>                    &normals,
        DNekMatSharedPtr                                &wspMat,
              Array<OneD,       Array<OneD, NekDouble>> &PntJacArray);
 
    virtual void v_GetFluxDerivJacDirctn(
        const MultiRegions::ExpListSharedPtr            &explist,
        const Array<OneD, const Array<OneD, NekDouble>> &normals,
        const int                                       nDervDir,
        const Array<OneD, const Array<OneD, NekDouble>> &inarray,
              TensorOfArray5D<NekDouble>                &ElmtJacArray,
        const int                                       nFluxDir);
 
    virtual void v_GetFluxDerivJacDirctnElmt(
        const int                                       nConvectiveFields,
        const int                                       nElmtPnt,
        const int                                       nDervDir,
        const Array<OneD, const Array<OneD, NekDouble>> &locVars,
        const Array<OneD, NekDouble>                    &locmu,
        const Array<OneD, const Array<OneD, NekDouble>> &locnormal,
              DNekMatSharedPtr                          &wspMat,
              Array<OneD,       Array<OneD, NekDouble>> &PntJacArray);
    
    virtual void v_GetFluxDerivJacDirctn(
        const MultiRegions::ExpListSharedPtr            &explist,
        const Array<OneD, const Array<OneD, NekDouble>> &normals,
        const int                                       nDervDir,
        const Array<OneD, const Array<OneD, NekDouble>> &inarray,
              Array<OneD, Array<OneD, DNekMatSharedPtr>>&ElmtJac);
 
    virtual void v_GetDiffusionFluxJacPoint(
        const Array<OneD, NekDouble>                    &conservVar, 
        const Array<OneD, const Array<OneD, NekDouble>> &conseDeriv, 
        const NekDouble                                 mu,
        const NekDouble                                 DmuDT,
        const Array<OneD, NekDouble>                    &normals,
              DNekMatSharedPtr                          &fluxJac);
 
    virtual void v_CalcPhysDeriv(
        const Array<OneD, const Array<OneD, NekDouble>> &inarray,
              TensorOfArray3D<NekDouble>                &qfield);
 
    virtual void v_CalcMuDmuDT(
        const Array<OneD, const Array<OneD, NekDouble>> &inarray,
              Array<OneD, NekDouble>                    &mu,
              Array<OneD, NekDouble>                    &DmuDT);
      
    /**
     * @brief return part of viscous Jacobian:
     * \todo flux derived with Qx=[drho_dx,drhou_dx,drhov_dx,drhoE_dx]
     * Input:
     * normals:Point normals
     * U=[rho,rhou,rhov,rhoE]
     * Output: 2D 3*4 Matrix (flux with rho is zero)
     */
    void GetdFlux_dQx_2D(
        const Array<OneD, NekDouble> &normals,
        const NekDouble &mu,
        const Array<OneD, NekDouble> &U,
        DNekMatSharedPtr &OutputMatrix );
 
    /**
     * @brief return part of viscous Jacobian:
     * \todo flux derived with Qx=[drho_dy,drhou_dy,drhov_dy,drhoE_dy]
     * Input:
     * normals:Point normals
     * U=[rho,rhou,rhov,rhoE]
     * Output: 2D 3*4 Matrix (flux with rho is zero)
     */
    void GetdFlux_dQy_2D(
        const Array<OneD, NekDouble> &normals,
        const NekDouble &mu,
        const Array<OneD, NekDouble> &U,
        DNekMatSharedPtr &OutputMatrix );
 
    /**
     * @brief return part of viscous Jacobian derived with Qx=[drho_dx,drhou_dx,drhov_dx,drhow_dx,drhoE_dx]
     * Input:
     * normals:Point normals
     * U=[rho,rhou,rhov,rhow,rhoE]
     * dir: means whether derive with
     * Qx=[drho_dx,drhou_dx,drhov_dx,drhow_dx,drhoE_dx]
     * Output: 3D 4*5 Matrix (flux about rho is zero)
     * OutputMatrix(dir=0)= dF_dQx;
     */
    void GetdFlux_dQx_3D(
        const Array<OneD, NekDouble> &normals,
        const NekDouble &mu,
        const Array<OneD, NekDouble> &U,
        DNekMatSharedPtr &OutputMatrix );
 
    /**
     * @brief return part of viscous Jacobian derived with Qy=[drho_dy,drhou_dy,drhov_dy,drhow_dy,drhoE_dy]
     * Input:
     * normals:Point normals
     * U=[rho,rhou,rhov,rhow,rhoE]
     * dir: means whether derive with
     * Qy=[drho_dy,drhou_dy,drhov_dy,drhow_dy,drhoE_dy]
     * Output: 3D 4*5 Matrix (flux about rho is zero)
     * OutputMatrix(dir=1)= dF_dQy;
     */
    void GetdFlux_dQy_3D(
        const Array<OneD, NekDouble> &normals,
        const NekDouble &mu,
        const Array<OneD, NekDouble> &U,
        DNekMatSharedPtr &OutputMatrix );
 
 
    /**
     * @brief return part of viscous Jacobian derived with Qz=[drho_dz,drhou_dz,drhov_dz,drhow_dz,drhoE_dz]
     * Input:
     * normals:Point normals
     * U=[rho,rhou,rhov,rhow,rhoE]
     * dir: means whether derive with
     * Qz=[drho_dz,drhou_dz,drhov_dz,drhow_dz,drhoE_dz]
     * Output: 3D 4*5 Matrix (flux about rho is zero)
     * OutputMatrix(dir=2)= dF_dQz;
     */
    void GetdFlux_dQz_3D(
        const Array<OneD, NekDouble> &normals,
        const NekDouble &mu,
        const Array<OneD, NekDouble> &U,
        DNekMatSharedPtr &OutputMatrix );
 
 
    /**
     * @brief return part of viscous Jacobian
     * Input:
     * normals:Point normals
     * mu: dynamicviscosity
     * dmu_dT: mu's derivative with T using Sutherland's law
     * U=[rho,rhou,rhov,rhoE]
     * Output: 3*4 Matrix (the flux about rho is zero)
     * OutputMatrix dFLux_dU,  the matrix sign is consistent with SIPG
    */
    void GetdFlux_dU_2D(
        const Array<OneD, NekDouble>                        &normals,
        const NekDouble                                     mu,
        const NekDouble                                     dmu_dT,
        const Array<OneD, NekDouble>                        &U,
        const Array<OneD, const Array<OneD, NekDouble> >    &qfield,
              DNekMatSharedPtr                              &OutputMatrix);
 
    /**
     * @brief return part of viscous Jacobian
     * Input:
     * normals:Point normals
     * mu: dynamicviscosity
     * dmu_dT: mu's derivative with T using Sutherland's law
     * U=[rho,rhou,rhov,rhow,rhoE]
     * Output: 4*5 Matrix (the flux about rho is zero)
     * OutputMatrix dFLux_dU,  the matrix sign is consistent with SIPG
    */
    void GetdFlux_dU_3D(
        const Array<OneD, NekDouble>                    &normals,
        const NekDouble                                 mu,
        const NekDouble                                 dmu_dT,
        const Array<OneD, NekDouble>                    &U,
        const Array<OneD, const Array<OneD, NekDouble>> &qfield,
              DNekMatSharedPtr                          &OutputMatrix);
 
  };
}
#endif