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tensor_tools.C

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2012 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner

// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.

// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// Lesser General Public License for more details.

// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA

#include "libmesh/tensor_tools.h"
#include "libmesh/vector_value.h"
#include "libmesh/tensor_value.h"
#include "libmesh/type_n_tensor.h"

namespace libMesh
{
  namespace TensorTools
  {
    // Needed for ExactSolution to compile
    Number curl_from_grad( const VectorValue<Number>& )
    {
      libMesh::err << "Operation not defined for scalar quantities." << std::endl;
      libmesh_error();
    }

    VectorValue<Number> curl_from_grad( const TensorValue<Number>& grad )
    {
      const Number duz_dy = grad(2,1);
      const Number duy_dz = grad(1,2);
      const Number dux_dz = grad(0,2);
      const Number duz_dx = grad(2,0);
      const Number duy_dx = grad(1,0);
      const Number dux_dy = grad(0,1);
      
      return VectorValue<Number>( duz_dy - duy_dz, dux_dz - duz_dx, duy_dx - dux_dy);
    }

    // Needed for ExactSolution to compile. Will implement when needed.
    TensorValue<Number> curl_from_grad( const TypeNTensor<3,Number>& /* grad */ )
    {
      libmesh_not_implemented();
    }

    // Needed for ExactSolution to compile
    Number div_from_grad( const VectorValue<Number>& /* grad */ )
    {
      libMesh::err << "Operation not defined for scalar quantities." << std::endl;
      libmesh_error();
    }

    Number div_from_grad( const TensorValue<Number>& grad )
    {
      const Number dux_dx = grad(0,0);
      const Number duy_dy = grad(1,1);
      const Number duz_dz = grad(2,2);

      return dux_dx + duy_dy + duz_dz;
    }

    // Needed for ExactSolution to compile. Will implement when needed.
    VectorValue<Number> div_from_grad( const TypeNTensor<3,Number>& /* grad */ )
    {
      libmesh_not_implemented();
    }

  }
}

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Last modified: February 05 2013 19:54:49 UTC

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