initial_state_smooth_wave.h

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//
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
// Copyright (C) 2023 - 2024 by the ryujin authors
//
 
#pragma once
 
#include <initial_state_library.h>
#include <simd.h>
 
namespace ryujin
{
  namespace EulerInitialStates
  {
    template <typename Description, int dim, typename Number>
    class SmoothWave : public InitialState<Description, dim, Number>
    {
    public:
      using HyperbolicSystem = typename Description::HyperbolicSystem;
      using View =
          typename Description::template HyperbolicSystemView<dim, Number>;
      using state_type = typename View::state_type;
 
      using ScalarNumber = typename View::ScalarNumber;
 
      SmoothWave(const HyperbolicSystem &hyperbolic_system,
                 const std::string subsection)
          : InitialState<Description, dim, Number>("smooth wave", subsection)
          , hyperbolic_system_(hyperbolic_system)
      {
        density_ref_ = 1.;
        this->add_parameter("reference density",
                            density_ref_,
                            "The material reference density");
 
        pressure_ref_ = 1.;
        this->add_parameter("reference pressure",
                            pressure_ref_,
                            "The material reference pressure");
 
        mach_number_ = 1.0;
        this->add_parameter("mach number",
                            mach_number_,
                            "Mach number of traveling smooth wave");
 
        /* These are the x_0 and x_1 parameters from references above. */
        left_ = 0.1;
        right_ = 0.3;
      }
 
      state_type compute(const dealii::Point<dim> &point, Number t) final
      {
        const auto view = hyperbolic_system_.template view<dim, Number>();
 
        auto point_bar = point;
        point_bar[0] = point_bar[0] - mach_number_ * t;
        const auto x = Number(point_bar[0]);
 
        const Number polynomial = Number(64) *
                                  ryujin::fixed_power<3>(x - left_) *
                                  ryujin::fixed_power<3>(right_ - x) /
                                  ryujin::fixed_power<6>(right_ - left_);
 
        /* Define density profile */
        Number rho = density_ref_;
        if (left_ <= point_bar[0] && point_bar[0] <= right_)
          rho = density_ref_ + polynomial;
 
        state_type initial_state;
        {
          initial_state[0] = rho;
          initial_state[1] = mach_number_;
          initial_state[dim + 1] = pressure_ref_;
        }
        return view.from_initial_state(initial_state);
      }
 
    private:
      const HyperbolicSystem &hyperbolic_system_;
 
      Number density_ref_;
      Number pressure_ref_;
      Number mach_number_;
      Number left_;
      Number right_;
    };
  } // namespace EulerInitialStates
} // namespace ryujin