utilities.h

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/*
 Copyright (C) 2016 - 2020-2018 by the authors of the ASPECT code.

 This file is part of ASPECT.

 ASPECT is free software; you can redistribute it and/or modify
 it under the terms of the GNU General Public License as published by
 the Free Software Foundation; either version 2, or (at your option)
 any later version.

 ASPECT 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 General Public License for more details.

 You should have received a copy of the GNU General Public License
 along with ASPECT; see the file doc/COPYING.  If not see
 <http://www.gnu.org/licenses/>.
 */

#ifndef _aspect_volume_of_fluid_utilities_h
#define _aspect_volume_of_fluid_utilities_h

#include <deal.II/base/point.h>

#include <aspect/global.h>

namespace aspect
{
  namespace VolumeOfFluid
  {
    namespace Utilities
    {
      using namespace dealii;

      double compute_fluid_fraction (const Tensor<1, 2> normal,
                                     const double d);
      double compute_fluid_fraction (const Tensor<1, 3> normal,
                                     const double d);

      double compute_interface_location (const Tensor<1, 2> normal,
                                         const double volume_fraction);
      double compute_interface_location (const Tensor<1, 3> normal,
                                         const double volume_fraction);

      void xFEM_Heaviside(const unsigned int degree,
                          const Tensor<1, 2> normal,
                          const double d,
                          const std::vector<Point<2>> &points,
                          std::vector<double> &values);
      void xFEM_Heaviside(const unsigned int degree,
                          const Tensor<1, 3> normal,
                          const double d,
                          const std::vector<Point<3>> &points,
                          std::vector<double> &values);

      void xFEM_Heaviside_derivative_d(const unsigned int degree,
                                       const Tensor<1, 2> normal,
                                       const double d,
                                       const std::vector<Point<2>> &points,
                                       std::vector<double> &values);
      void xFEM_Heaviside_derivative_d(const unsigned int degree,
                                       const Tensor<1, 3> normal,
                                       const double d,
                                       const std::vector<Point<3>> &points,
                                       std::vector<double> &values);


      template<int dim>
      double compute_interface_location_newton(const unsigned int degree,
                                               const Tensor<1, dim, double> normal,
                                               const double volume_fraction,
                                               const double vol,
                                               const double epsilon,
                                               const std::vector<Point<dim>> &points,
                                               const std::vector<double> &weights);

      template<int dim>
      double compute_fluid_volume(const unsigned int degree,
                                  const Tensor<1, dim, double> normal,
                                  const double d,
                                  const std::vector<Point<dim>> &points,
                                  const std::vector<double> &weights);

      template<int dim>
      double calculate_volume_flux (const unsigned int compute_direction,
                                    const double time_direction_derivative,
                                    const Tensor<1, dim, double> interface_normal_in_cell,
                                    const double d_at_face_center);
    }
  }
}

#endif