SpECTRE Documentation Coverage Report
Current view: top level - Evolution/Systems/GrMhd/ValenciaDivClean/BoundaryCorrections - Rusanov.hpp Hit Total Coverage
Commit: edb1b5199a4a86c269aedbb831767801169f3e8a Lines: 1 20 5.0 %
Date: 2021-04-19 16:23:01
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          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/GrMhd/ValenciaDivClean/BoundaryCorrections/BoundaryCorrection.hpp"
      12             : #include "Evolution/Systems/GrMhd/ValenciaDivClean/Tags.hpp"
      13             : #include "NumericalAlgorithms/DiscontinuousGalerkin/Formulation.hpp"
      14             : #include "Options/Options.hpp"
      15             : #include "Parallel/CharmPupable.hpp"
      16             : #include "PointwiseFunctions/GeneralRelativity/Tags.hpp"
      17             : #include "Utilities/Gsl.hpp"
      18             : #include "Utilities/TMPL.hpp"
      19             : 
      20             : /// \cond
      21             : class DataVector;
      22             : namespace gsl {
      23             : template <typename T>
      24             : class not_null;
      25             : }  // namespace gsl
      26             : namespace PUP {
      27             : class er;
      28             : }  // namespace PUP
      29             : /// \endcond
      30             : 
      31             : namespace grmhd::ValenciaDivClean::BoundaryCorrections {
      32             : /*!
      33             :  * \brief A Rusanov/local Lax-Friedrichs Riemann solver
      34             :  *
      35             :  * Let \f$U\f$ be the state vector of evolved variables, \f$F^i\f$ the
      36             :  * corresponding fluxes, and \f$n_i\f$ be the outward directed unit normal to
      37             :  * the interface. Denoting \f$F := n_i F^i\f$, the %Rusanov boundary correction
      38             :  * is
      39             :  *
      40             :  * \f{align*}
      41             :  * G_\text{Rusanov} = \frac{F_\text{int} - F_\text{ext}}{2} -
      42             :  * \frac{\text{max}\left(\{|\lambda_\text{int}|\},
      43             :  * \{|\lambda_\text{ext}|\}\right)}{2} \left(U_\text{ext} - U_\text{int}\right),
      44             :  * \f}
      45             :  *
      46             :  * where "int" and "ext" stand for interior and exterior, and
      47             :  * \f$\{|\lambda|\}\f$ is the set of characteristic/signal speeds. The minus
      48             :  * sign in front of the \f$F_{\text{ext}}\f$ is necessary because the outward
      49             :  * directed normal of the neighboring element has the opposite sign, i.e.
      50             :  * \f$n_i^{\text{ext}}=-n_i^{\text{int}}\f$. The characteristic/signal speeds
      51             :  * are given in the documentation for
      52             :  * grmhd::ValenciaDivClean::characteristic_speeds(). Since the fluid is
      53             :  * travelling slower than the speed of light, the speeds we are interested in
      54             :  * are
      55             :  *
      56             :  * \f{align*}{
      57             :  *   \lambda_{\pm}&=\pm\alpha-\beta^i n_i,
      58             :  * \f}
      59             :  *
      60             :  * which correspond to the divergence cleaning field.
      61             :  *
      62             :  * \note
      63             :  * - In the strong form the `dg_boundary_terms` function returns
      64             :  * \f$G - F_\text{int}\f$
      65             :  * - It may be possible to use the slower speeds for the magnetic field and
      66             :  * fluid part of the system in order to make the flux less dissipative for
      67             :  * those variables.
      68             :  */
      69           1 : class Rusanov final : public BoundaryCorrection {
      70             :  private:
      71           0 :   struct AbsCharSpeed : db::SimpleTag {
      72           0 :     using type = Scalar<DataVector>;
      73             :   };
      74             : 
      75             :  public:
      76           0 :   using options = tmpl::list<>;
      77           0 :   static constexpr Options::String help = {
      78             :       "Computes the Rusanov or local Lax-Friedrichs boundary correction term "
      79             :       "for the GRMHD system."};
      80             : 
      81           0 :   Rusanov() = default;
      82           0 :   Rusanov(const Rusanov&) = default;
      83           0 :   Rusanov& operator=(const Rusanov&) = default;
      84           0 :   Rusanov(Rusanov&&) = default;
      85           0 :   Rusanov& operator=(Rusanov&&) = default;
      86           0 :   ~Rusanov() override = default;
      87             : 
      88             :   /// \cond
      89             :   explicit Rusanov(CkMigrateMessage* /*unused*/) noexcept;
      90             :   using PUP::able::register_constructor;
      91             :   WRAPPED_PUPable_decl_template(Rusanov);  // NOLINT
      92             :   /// \endcond
      93           0 :   void pup(PUP::er& p) override;  // NOLINT
      94             : 
      95           0 :   std::unique_ptr<BoundaryCorrection> get_clone() const noexcept override;
      96             : 
      97           0 :   using dg_package_field_tags =
      98             :       tmpl::list<Tags::TildeD, Tags::TildeTau, Tags::TildeS<Frame::Inertial>,
      99             :                  Tags::TildeB<Frame::Inertial>, Tags::TildePhi,
     100             :                  ::Tags::NormalDotFlux<Tags::TildeD>,
     101             :                  ::Tags::NormalDotFlux<Tags::TildeTau>,
     102             :                  ::Tags::NormalDotFlux<Tags::TildeS<Frame::Inertial>>,
     103             :                  ::Tags::NormalDotFlux<Tags::TildeB<Frame::Inertial>>,
     104             :                  ::Tags::NormalDotFlux<Tags::TildePhi>, AbsCharSpeed>;
     105           0 :   using dg_package_data_temporary_tags =
     106             :       tmpl::list<gr::Tags::Lapse<DataVector>,
     107             :                  gr::Tags::Shift<3, Frame::Inertial, DataVector>>;
     108           0 :   using dg_package_data_primitive_tags = tmpl::list<>;
     109           0 :   using dg_package_data_volume_tags = tmpl::list<>;
     110             : 
     111           0 :   static double dg_package_data(
     112             :       gsl::not_null<Scalar<DataVector>*> packaged_tilde_d,
     113             :       gsl::not_null<Scalar<DataVector>*> packaged_tilde_tau,
     114             :       gsl::not_null<tnsr::i<DataVector, 3, Frame::Inertial>*> packaged_tilde_s,
     115             :       gsl::not_null<tnsr::I<DataVector, 3, Frame::Inertial>*> packaged_tilde_b,
     116             :       gsl::not_null<Scalar<DataVector>*> packaged_tilde_phi,
     117             :       gsl::not_null<Scalar<DataVector>*> packaged_normal_dot_flux_tilde_d,
     118             :       gsl::not_null<Scalar<DataVector>*> packaged_normal_dot_flux_tilde_tau,
     119             :       gsl::not_null<tnsr::i<DataVector, 3, Frame::Inertial>*>
     120             :           packaged_normal_dot_flux_tilde_s,
     121             :       gsl::not_null<tnsr::I<DataVector, 3, Frame::Inertial>*>
     122             :           packaged_normal_dot_flux_tilde_b,
     123             :       gsl::not_null<Scalar<DataVector>*> packaged_normal_dot_flux_tilde_phi,
     124             :       gsl::not_null<Scalar<DataVector>*> packaged_abs_char_speed,
     125             : 
     126             :       const Scalar<DataVector>& tilde_d, const Scalar<DataVector>& tilde_tau,
     127             :       const tnsr::i<DataVector, 3, Frame::Inertial>& tilde_s,
     128             :       const tnsr::I<DataVector, 3, Frame::Inertial>& tilde_b,
     129             :       const Scalar<DataVector>& tilde_phi,
     130             : 
     131             :       const tnsr::I<DataVector, 3, Frame::Inertial>& flux_tilde_d,
     132             :       const tnsr::I<DataVector, 3, Frame::Inertial>& flux_tilde_tau,
     133             :       const tnsr::Ij<DataVector, 3, Frame::Inertial>& flux_tilde_s,
     134             :       const tnsr::IJ<DataVector, 3, Frame::Inertial>& flux_tilde_b,
     135             :       const tnsr::I<DataVector, 3, Frame::Inertial>& flux_tilde_phi,
     136             : 
     137             :       const Scalar<DataVector>& lapse,
     138             :       const tnsr::I<DataVector, 3, Frame::Inertial>& shift,
     139             : 
     140             :       const tnsr::i<DataVector, 3, Frame::Inertial>& normal_covector,
     141             :       const tnsr::I<DataVector, 3, Frame::Inertial>& normal_vector,
     142             :       const std::optional<tnsr::I<DataVector, 3, Frame::Inertial>>&
     143             :       /*mesh_velocity*/,
     144             :       const std::optional<Scalar<DataVector>>&
     145             :           normal_dot_mesh_velocity) noexcept;
     146             : 
     147           0 :   static void dg_boundary_terms(
     148             :       gsl::not_null<Scalar<DataVector>*> boundary_correction_tilde_d,
     149             :       gsl::not_null<Scalar<DataVector>*> boundary_correction_tilde_tau,
     150             :       gsl::not_null<tnsr::i<DataVector, 3, Frame::Inertial>*>
     151             :           boundary_correction_tilde_s,
     152             :       gsl::not_null<tnsr::I<DataVector, 3, Frame::Inertial>*>
     153             :           boundary_correction_tilde_b,
     154             :       gsl::not_null<Scalar<DataVector>*> boundary_correction_tilde_phi,
     155             :       const Scalar<DataVector>& tilde_d_int,
     156             :       const Scalar<DataVector>& tilde_tau_int,
     157             :       const tnsr::i<DataVector, 3, Frame::Inertial>& tilde_s_int,
     158             :       const tnsr::I<DataVector, 3, Frame::Inertial>& tilde_b_int,
     159             :       const Scalar<DataVector>& tilde_phi_int,
     160             :       const Scalar<DataVector>& normal_dot_flux_tilde_d_int,
     161             :       const Scalar<DataVector>& normal_dot_flux_tilde_tau_int,
     162             :       const tnsr::i<DataVector, 3, Frame::Inertial>&
     163             :           normal_dot_flux_tilde_s_int,
     164             :       const tnsr::I<DataVector, 3, Frame::Inertial>&
     165             :           normal_dot_flux_tilde_b_int,
     166             :       const Scalar<DataVector>& normal_dot_flux_tilde_phi_int,
     167             :       const Scalar<DataVector>& abs_char_speed_int,
     168             :       const Scalar<DataVector>& tilde_d_ext,
     169             :       const Scalar<DataVector>& tilde_tau_ext,
     170             :       const tnsr::i<DataVector, 3, Frame::Inertial>& tilde_s_ext,
     171             :       const tnsr::I<DataVector, 3, Frame::Inertial>& tilde_b_ext,
     172             :       const Scalar<DataVector>& tilde_phi_ext,
     173             :       const Scalar<DataVector>& normal_dot_flux_tilde_d_ext,
     174             :       const Scalar<DataVector>& normal_dot_flux_tilde_tau_ext,
     175             :       const tnsr::i<DataVector, 3, Frame::Inertial>&
     176             :           normal_dot_flux_tilde_s_ext,
     177             :       const tnsr::I<DataVector, 3, Frame::Inertial>&
     178             :           normal_dot_flux_tilde_b_ext,
     179             :       const Scalar<DataVector>& normal_dot_flux_tilde_phi_ext,
     180             :       const Scalar<DataVector>& abs_char_speed_ext,
     181             :       dg::Formulation dg_formulation) noexcept;
     182             : };
     183             : }  // namespace grmhd::ValenciaDivClean::BoundaryCorrections

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