Burgers.hpp

Go to the documentation of this file.

 
// Copyright (c) 2019 Maikel Nadolski
//
// 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.
 
#ifndef FUB_EQUATIONS_BURGERS_HPP
#define FUB_EQUATIONS_BURGERS_HPP
 
#include "fub/Direction.hpp"
#include "fub/ExactRiemannSolver.hpp"
#include "fub/State.hpp"
 
#include "fub/flux_method/FluxMethod.hpp"
#include "fub/flux_method/GodunovMethod.hpp"
#include "fub/flux_method/MusclHancockMethod.hpp"
 
#include <array>
 
namespace fub {
template <typename U> struct BurgersVariables { U u; };
 
template <typename... Xs> struct StateTraits<BurgersVariables<Xs...>> {
  static constexpr auto names = std::make_tuple("U");
  static constexpr auto pointers_to_member =
      std::make_tuple(&BurgersVariables<Xs...>::u);
 
  template <int Rank> using Depths = BurgersVariables<ScalarDepth>;
};
 
struct Burgers1d {
  using ConservativeDepths = BurgersVariables<ScalarDepth>;
  using CompleteDepths = ConservativeDepths;
 
  using Complete = ::fub::Complete<Burgers1d>;
  using Conservative = ::fub::Conservative<Burgers1d>;
  using CompleteArray = ::fub::CompleteArray<Burgers1d>;
  using ConservativeArray = ::fub::ConservativeArray<Burgers1d>;
 
  static constexpr int Rank() { return 1; }
 
  Conservative Flux(Complete state, Direction dir) const noexcept;
  ConservativeArray Flux(CompleteArray state, Direction dir) const noexcept;
};
 
template <> class ExactRiemannSolver<Burgers1d> {
public:
  using Complete = typename Burgers1d::Complete;
  using CompleteArray = typename Burgers1d::CompleteArray;
 
  ExactRiemannSolver(const Burgers1d&) {}
 
  void SolveRiemannProblem(Complete& state, const Complete& left,
                           const Complete& right, Direction dir) const;
 
  void SolveRiemannProblem(CompleteArray& state, const CompleteArray& left,
                           const CompleteArray& right, Direction dir) const;
 
  std::array<double, 1> ComputeSignals(const Complete& left,
                                       const Complete& right,
                                       Direction dir) const;
 
  std::array<Array1d, 1> ComputeSignals(const CompleteArray& left,
                                        const CompleteArray& right,
                                        Direction dir) const;
};
 
extern template class FluxMethod<Godunov<Burgers1d>>;
extern template class FluxMethod<MusclHancock<Burgers1d>>;
 
} // namespace fub
 
#endif