Line data    Source code

       1           0 : // Distributed under the MIT License.
       2             : // See LICENSE.txt for details.
       3             : 
       4             : #pragma once
       5             : 
       6             : #include <memory>
       7             : #include <optional>
       8             : 
       9             : #include "DataStructures/DataBox/Prefixes.hpp"
      10             : #include "DataStructures/Tensor/TypeAliases.hpp"
      11             : #include "Evolution/BoundaryCorrection.hpp"
      12             : #include "Evolution/Systems/NewtonianEuler/Tags.hpp"
      13             : #include "NumericalAlgorithms/DiscontinuousGalerkin/Formulation.hpp"
      14             : #include "Options/String.hpp"
      15             : #include "PointwiseFunctions/Hydro/EquationsOfState/EquationOfState.hpp"
      16             : #include "PointwiseFunctions/Hydro/Tags.hpp"
      17             : #include "Utilities/Gsl.hpp"
      18             : #include "Utilities/Serialization/CharmPupable.hpp"
      19             : #include "Utilities/TMPL.hpp"
      20             : 
      21             : /// \cond
      22             : class DataVector;
      23             : namespace gsl {
      24             : template <typename T>
      25             : class not_null;
      26             : }  // namespace gsl
      27             : namespace PUP {
      28             : class er;
      29             : }  // namespace PUP
      30             : /// \endcond
      31             : 
      32             : namespace NewtonianEuler::BoundaryCorrections {
      33             : /*!
      34             :  * \brief A Rusanov/local Lax-Friedrichs Riemann solver
      35             :  *
      36             :  * Let \f$U\f$ be the state vector of evolved variables, \f$F^i\f$ the
      37             :  * corresponding fluxes, and \f$n_i\f$ be the outward directed unit normal to
      38             :  * the interface. Denoting \f$F := n_i F^i\f$, the %Rusanov boundary correction
      39             :  * is
      40             :  *
      41             :  * \f{align*}
      42             :  * G_\text{Rusanov} = \frac{F_\text{int} - F_\text{ext}}{2} -
      43             :  * \frac{\text{max}\left(\{|\lambda_\text{int}|\},
      44             :  * \{|\lambda_\text{ext}|\}\right)}{2} \left(U_\text{ext} - U_\text{int}\right),
      45             :  * \f}
      46             :  *
      47             :  * where "int" and "ext" stand for interior and exterior, and
      48             :  * \f$\{|\lambda|\}\f$ is the set of characteristic/signal speeds. The minus
      49             :  * sign in front of the \f$F_{\text{ext}}\f$ is necessary because the outward
      50             :  * directed normal of the neighboring element has the opposite sign, i.e.
      51             :  * \f$n_i^{\text{ext}}=-n_i^{\text{int}}\f$. The characteristic/signal speeds
      52             :  * are given by:
      53             :  *
      54             :  * \f{align*}
      55             :  * \lambda_{\pm}&=v^i n_i \pm c_s, \\
      56             :  * \lambda_v&=v^i n_i
      57             :  * \f}
      58             :  *
      59             :  * where \f$v^i\f$ is the spatial velocity and \f$c_s\f$ the sound speed.
      60             :  *
      61             :  * \note In the strong form the `dg_boundary_terms` function returns
      62             :  * \f$G - F_\text{int}\f$
      63             :  */
      64             : template <size_t Dim>
      65           1 : class Rusanov final : public evolution::BoundaryCorrection {
      66             :  private:
      67           0 :   struct AbsCharSpeed : db::SimpleTag {
      68           0 :     using type = Scalar<DataVector>;
      69             :   };
      70             : 
      71             :  public:
      72           0 :   using options = tmpl::list<>;
      73           0 :   static constexpr Options::String help = {
      74             :       "Computes the Rusanov or local Lax-Friedrichs boundary correction term "
      75             :       "for the Newtonian Euler/hydrodynamics system."};
      76             : 
      77           0 :   Rusanov() = default;
      78           0 :   Rusanov(const Rusanov&) = default;
      79           0 :   Rusanov& operator=(const Rusanov&) = default;
      80           0 :   Rusanov(Rusanov&&) = default;
      81           0 :   Rusanov& operator=(Rusanov&&) = default;
      82           0 :   ~Rusanov() override = default;
      83             : 
      84             :   /// \cond
      85             :   explicit Rusanov(CkMigrateMessage* msg);
      86             :   using PUP::able::register_constructor;
      87             :   WRAPPED_PUPable_decl_template(Rusanov);  // NOLINT
      88             :   /// \endcond
      89           0 :   void pup(PUP::er& p) override;  // NOLINT
      90             : 
      91           0 :   std::unique_ptr<BoundaryCorrection> get_clone() const override;
      92             : 
      93           0 :   using dg_package_field_tags =
      94             :       tmpl::list<Tags::MassDensityCons, Tags::MomentumDensity<Dim>,
      95             :                  Tags::EnergyDensity,
      96             :                  ::Tags::NormalDotFlux<Tags::MassDensityCons>,
      97             :                  ::Tags::NormalDotFlux<Tags::MomentumDensity<Dim>>,
      98             :                  ::Tags::NormalDotFlux<Tags::EnergyDensity>, AbsCharSpeed>;
      99           0 :   using dg_package_data_temporary_tags = tmpl::list<>;
     100           0 :   using dg_package_data_primitive_tags =
     101             :       tmpl::list<hydro::Tags::SpatialVelocity<DataVector, Dim>,
     102             :                  hydro::Tags::SpecificInternalEnergy<DataVector>>;
     103           0 :   using dg_package_data_volume_tags =
     104             :       tmpl::list<hydro::Tags::EquationOfState<false, 2>>;
     105           0 :   using dg_boundary_terms_volume_tags = tmpl::list<>;
     106             : 
     107           0 :   double dg_package_data(
     108             :       gsl::not_null<Scalar<DataVector>*> packaged_mass_density,
     109             :       gsl::not_null<tnsr::I<DataVector, Dim, Frame::Inertial>*>
     110             :           packaged_momentum_density,
     111             :       gsl::not_null<Scalar<DataVector>*> packaged_energy_density,
     112             :       gsl::not_null<Scalar<DataVector>*> packaged_normal_dot_flux_mass_density,
     113             :       gsl::not_null<tnsr::I<DataVector, Dim, Frame::Inertial>*>
     114             :           packaged_normal_dot_flux_momentum_density,
     115             :       gsl::not_null<Scalar<DataVector>*>
     116             :           packaged_normal_dot_flux_energy_density,
     117             :       gsl::not_null<Scalar<DataVector>*> packaged_abs_char_speed,
     118             : 
     119             :       const Scalar<DataVector>& mass_density,
     120             :       const tnsr::I<DataVector, Dim, Frame::Inertial>& momentum_density,
     121             :       const Scalar<DataVector>& energy_density,
     122             : 
     123             :       const tnsr::I<DataVector, Dim, Frame::Inertial>& flux_mass_density,
     124             :       const tnsr::IJ<DataVector, Dim, Frame::Inertial>& flux_momentum_density,
     125             :       const tnsr::I<DataVector, Dim, Frame::Inertial>& flux_energy_density,
     126             : 
     127             :       const tnsr::I<DataVector, Dim, Frame::Inertial>& velocity,
     128             :       const Scalar<DataVector>& specific_internal_energy,
     129             : 
     130             :       const tnsr::i<DataVector, Dim, Frame::Inertial>& normal_covector,
     131             :       const std::optional<tnsr::I<DataVector, Dim, Frame::Inertial>>&
     132             :       /*mesh_velocity*/,
     133             :       const std::optional<Scalar<DataVector>>& normal_dot_mesh_velocity,
     134             :       const EquationsOfState::EquationOfState<false, 2>& equation_of_state)
     135             :       const;
     136             : 
     137           0 :   void dg_boundary_terms(
     138             :       gsl::not_null<Scalar<DataVector>*> boundary_correction_mass_density,
     139             :       gsl::not_null<tnsr::I<DataVector, Dim, Frame::Inertial>*>
     140             :           boundary_correction_momentum_density,
     141             :       gsl::not_null<Scalar<DataVector>*> boundary_correction_energy_density,
     142             :       const Scalar<DataVector>& mass_density_int,
     143             :       const tnsr::I<DataVector, Dim, Frame::Inertial>& momentum_density_int,
     144             :       const Scalar<DataVector>& energy_density_int,
     145             :       const Scalar<DataVector>& normal_dot_flux_mass_density_int,
     146             :       const tnsr::I<DataVector, Dim, Frame::Inertial>&
     147             :           normal_dot_flux_momentum_density_int,
     148             :       const Scalar<DataVector>& normal_dot_flux_energy_density_int,
     149             :       const Scalar<DataVector>& abs_char_speed_int,
     150             :       const Scalar<DataVector>& mass_density_ext,
     151             :       const tnsr::I<DataVector, Dim, Frame::Inertial>& momentum_density_ext,
     152             :       const Scalar<DataVector>& energy_density_ext,
     153             :       const Scalar<DataVector>& normal_dot_flux_mass_density_ext,
     154             :       const tnsr::I<DataVector, Dim, Frame::Inertial>&
     155             :           normal_dot_flux_momentum_density_ext,
     156             :       const Scalar<DataVector>& normal_dot_flux_energy_density_ext,
     157             :       const Scalar<DataVector>& abs_char_speed_ext,
     158             :       dg::Formulation dg_formulation) const;
     159             : };
     160             : }  // namespace NewtonianEuler::BoundaryCorrections