getfem_Navier_Stokes.h

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/* -*- c++ -*- (enables emacs c++ mode) */
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/**@file getfem_Navier_Stokes.h
   @author  Yves Renard <Yves.Renard@insa-lyon.fr>, Julien Pommier <Julien.Pommier@insa-toulouse.fr>
   @date April 15, 2005.
   @brief Navier-Stokes dynamic brick.
*/
#ifndef GETFEM_NAVIER_STOKES_H__
#define GETFEM_NAVIER_STOKES_H__


#include "getfem_assembling_tensors.h"

namespace getfem {

  /**
     assembly of Tangent matrix for Navier-Stokes.
     @ingroup asm
  */
  template<typename MAT, typename VECT>
  void asm_navier_stokes_tgm(const MAT &M, 
                             const mesh_im &mim, 
                             const mesh_fem &mf,
                             const VECT &U,
                             const mesh_region &rg = mesh_region::all_convexes()) {
    GMM_ASSERT1(mf.get_qdim() == mf.linked_mesh().dim(),
                "wrong qdim for the mesh_fem");

    getfem::generic_assembly assem;
    assem.set("u=data(#1);"
              "t=comp(vGrad(#1).vBase(#1).vBase(#1));"
              "M(#1, #1) += u(i).t(i,k,j,:,k,:,j);"
              "M(#1, #1) += u(i).t(:,j,k,:,k,i,j);"
              "M(#1, #1) += u(i).t(i,j,j,:,k,:,k)/2;"
              "M(#1, #1) += u(i).t(:,k,k,:,j,i,j)/2;");
    assem.push_mi(mim);
    assem.push_mf(mf);
    assem.push_mat(const_cast<MAT&>(M));
    assem.push_data(U);
    assem.assembly(rg);
  }

  /**
     assembly of right hand side for Navier-Stokes.
     @ingroup asm
  */
  template<typename VECT1, typename VECT2> 
  void asm_navier_stokes_rhs(const VECT1 &V, 
                             const mesh_im &mim, 
                             const mesh_fem &mf,
                             const VECT2 &U,
                             const mesh_region &rg = mesh_region::all_convexes()) {
    GMM_ASSERT1(mf.get_qdim() == mf.linked_mesh().dim(),
                "wrong qdim for the mesh_fem");

    getfem::generic_assembly assem;
    assem.set("u=data(#1);"
              "t=comp(vBase(#1).vGrad(#1).vBase(#1));"
              "V(#1) += u(i).u(j).t(i,k,j,k,l,:,l);"
              "V(#1) += u(i).u(j).t(i,k,j,l,l,:,k)/2;");
    assem.push_mi(mim);
    assem.push_mf(mf);
    assem.push_vec(const_cast<VECT1&>(V));
    assem.push_data(U);
    assem.assembly(rg);
  }

 

}  /* end of namespace getfem.                                             */


#endif /* GETFEM_NAVIER_STOKES_H__ */