parabolic_profile.h

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//-----------------------------------------------------------------------bl-
//--------------------------------------------------------------------------
//
// GRINS - General Reacting Incompressible Navier-Stokes
//
// Copyright (C) 2014-2015 Paul T. Bauman, Roy H. Stogner
// Copyright (C) 2010-2013 The PECOS Development Team
//
// This library is free software; you can redistribute it and/or
// modify it under the terms of the Version 2.1 GNU Lesser General
// Public License as published by the Free Software Foundation.
//
// 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. 51 Franklin Street, Fifth Floor,
// Boston, MA  02110-1301  USA
//
//-----------------------------------------------------------------------el-

#ifndef PARABOLIC_PROFILE_H
#define PARABOLIC_PROFILE_H

// GRINS
#include "grins/var_typedefs.h"

// libMesh
#include "libmesh/function_base.h"

namespace GRINS
{
  

  class ParabolicProfile : public libMesh::FunctionBase<libMesh::Number>
  {
  public:
    

    ParabolicProfile( );

    ParabolicProfile( const double a, const double b, const double c,
                      const double d, const double e, const double f );

    virtual ~ParabolicProfile( );

    virtual libMesh::AutoPtr< libMesh::FunctionBase<libMesh::Number> > clone() const;

    virtual libMesh::Number operator()( const libMesh::Point &p, const libMesh::Real time );

    virtual void operator()( const libMesh::Point &p, 
                             const libMesh::Real time, 
                             libMesh::DenseVector<libMesh::Number> &output );

    virtual libMesh::Number component( unsigned int i, const libMesh::Point &p, 
                                       const libMesh::Real time );
    
  protected:
    
    inline double eval( const double a, const double b, const double c,
                        const double d, const double e, const double f,
                        const double x, const double y )
    {
      return a*x*x + b*x*y + c*y*y + d*x + e*y + f;
    };

    double _a, _b, _c, _d, _e, _f;

  }; // class ParabolicProfile

} // namespace GRINS

#endif // PARABOLIC_PROFILE_H