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/Systems/Burgers/BoundaryCorrections/BoundaryCorrection.hpp"
      12             : #include "Evolution/Systems/Burgers/Tags.hpp"
      13             : #include "NumericalAlgorithms/DiscontinuousGalerkin/Formulation.hpp"
      14             : #include "Options/String.hpp"
      15             : #include "Utilities/Serialization/CharmPupable.hpp"
      16             : #include "Utilities/TMPL.hpp"
      17             : 
      18             : /// \cond
      19             : class DataVector;
      20             : namespace gsl {
      21             : template <typename T>
      22             : class not_null;
      23             : }  // namespace gsl
      24             : namespace PUP {
      25             : class er;
      26             : }  // namespace PUP
      27             : /// \endcond
      28             : 
      29             : namespace Burgers::BoundaryCorrections {
      30             : /*!
      31             :  * \brief A Rusanov/local Lax-Friedrichs Riemann solver
      32             :  *
      33             :  * Let \f$U\f$ be the evolved variable, \f$F^i\f$ the flux, and \f$n_i\f$ be
      34             :  * the outward directed unit normal to the interface. Denoting \f$F := n_i
      35             :  * F^i\f$, the %Rusanov boundary correction is
      36             :  *
      37             :  * \f{align*}
      38             :  * G_\text{Rusanov} = \frac{F_\text{int} - F_\text{ext}}{2} -
      39             :  * \frac{\text{max}\left(|U_\text{int}|, |U_\text{ext}|\right)}{2}
      40             :  * \left(U_\text{ext} - U_\text{int}\right),
      41             :  * \f}
      42             :  *
      43             :  * where "int" and "ext" stand for interior and exterior. The minus sign in
      44             :  * front of the \f$F_{\text{ext}}\f$ is necessary because the outward directed
      45             :  * normal of the neighboring element has the opposite sign, i.e.
      46             :  * \f$n_i^{\text{ext}}=-n_i^{\text{int}}\f$.
      47             :  *
      48             :  * \note In the strong form the `dg_boundary_terms` function returns
      49             :  * \f$G - F_\text{int}\f$
      50             :  */
      51           1 : class Rusanov final : public BoundaryCorrection {
      52             :  private:
      53           0 :   struct AbsCharSpeed : db::SimpleTag {
      54           0 :     using type = Scalar<DataVector>;
      55             :   };
      56             : 
      57             :  public:
      58           0 :   using options = tmpl::list<>;
      59           0 :   static constexpr Options::String help = {
      60             :       "Computes the Rusanov or local Lax-Friedrichs boundary correction term "
      61             :       "for the Burgers system."};
      62             : 
      63           0 :   Rusanov() = default;
      64           0 :   Rusanov(const Rusanov&) = default;
      65           0 :   Rusanov& operator=(const Rusanov&) = default;
      66           0 :   Rusanov(Rusanov&&) = default;
      67           0 :   Rusanov& operator=(Rusanov&&) = default;
      68           0 :   ~Rusanov() override = default;
      69             : 
      70             :   /// \cond
      71             :   explicit Rusanov(CkMigrateMessage* msg);
      72             :   using PUP::able::register_constructor;
      73             :   WRAPPED_PUPable_decl_template(Rusanov);  // NOLINT
      74             :   /// \endcond
      75           0 :   void pup(PUP::er& p) override;  // NOLINT
      76             : 
      77           0 :   std::unique_ptr<BoundaryCorrection> get_clone() const override;
      78             : 
      79           0 :   using dg_package_field_tags =
      80             :       tmpl::list<Tags::U, ::Tags::NormalDotFlux<Tags::U>, AbsCharSpeed>;
      81           0 :   using dg_package_data_temporary_tags = tmpl::list<>;
      82           0 :   using dg_package_data_volume_tags = tmpl::list<>;
      83           0 :   using dg_boundary_terms_volume_tags = tmpl::list<>;
      84             : 
      85           0 :   static double dg_package_data(
      86             :       gsl::not_null<Scalar<DataVector>*> packaged_u,
      87             :       gsl::not_null<Scalar<DataVector>*> packaged_normal_dot_flux,
      88             :       gsl::not_null<Scalar<DataVector>*> packaged_abs_char_speed,
      89             :       const Scalar<DataVector>& u,
      90             :       const tnsr::I<DataVector, 1, Frame::Inertial>& flux_u,
      91             :       const tnsr::i<DataVector, 1, Frame::Inertial>& normal_covector,
      92             :       const std::optional<tnsr::I<DataVector, 1, Frame::Inertial>>&
      93             :           mesh_velocity,
      94             :       const std::optional<Scalar<DataVector>>& normal_dot_mesh_velocity);
      95             : 
      96           0 :   static void dg_boundary_terms(
      97             :       gsl::not_null<Scalar<DataVector>*> boundary_correction_u,
      98             :       const Scalar<DataVector>& u_int,
      99             :       const Scalar<DataVector>& normal_dot_flux_u_int,
     100             :       const Scalar<DataVector>& abs_char_speed_int,
     101             :       const Scalar<DataVector>& u_ext,
     102             :       const Scalar<DataVector>& normal_dot_flux_u_ext,
     103             :       const Scalar<DataVector>& abs_char_speed_ext,
     104             :       dg::Formulation dg_formulation);
     105             : };
     106             : }  // namespace Burgers::BoundaryCorrections