Line data    Source code

       1           0 : // Distributed under the MIT License.
       2             : // See LICENSE.txt for details.
       3             : 
       4             : #pragma once
       5             : 
       6             : #include <cstddef>
       7             : #include <limits>
       8             : #include <optional>
       9             : #include <string>
      10             : 
      11             : #include "Evolution/Systems/GrMhd/ValenciaDivClean/PrimitiveRecoveryData.hpp"
      12             : 
      13             : /// \cond
      14             : namespace EquationsOfState {
      15             : template <bool, size_t>
      16             : class EquationOfState;
      17             : }  // namespace EquationsOfState
      18             : namespace grmhd::ValenciaDivClean {
      19             : class PrimitiveFromConservativeOptions;
      20             : }  // namespace grmhd::ValenciaDivClean
      21             : /// \endcond
      22             : 
      23           1 : namespace grmhd::ValenciaDivClean::PrimitiveRecoverySchemes {
      24             : 
      25             : /*!
      26             :  * \brief Compute the primitive variables from the conservative variables using
      27             :  * the scheme of \cite Kastaun2020uxr.
      28             :  *
      29             :  * In the notation of the Kastaun paper, `tau` is \f$D q)\f$,
      30             :  * `momentum_density_squared` is \f$r^2 D^2\f$,
      31             :  * `momentum_density_dot_magnetic_field` is \f$t D^{\frac{3}{2}}\f$,
      32             :  * `magnetic_field_squared` is \f$s D\f$, and
      33             :  * `rest_mass_density_times_lorentz_factor` is \f$D\f$.
      34             :  * Furthermore, the returned `PrimitiveRecoveryData.rho_h_w_squared` is \f$x
      35             :  * D\f$.
      36             :  *
      37             :  * In terms of the conservative variables (in our notation):
      38             :  * \f{align*}
      39             :  * q = & \frac{{\tilde \tau}}{{\tilde D}} \\
      40             :  * r = & \frac{\gamma^{kl} {\tilde S}_k {\tilde S}_l}{{\tilde D}^2} \\
      41             :  * t^2 = & \frac{({\tilde B}^k {\tilde S}_k)^2}{{\tilde D}^3 \sqrt{\gamma}} \\
      42             :  * s = & \frac{\gamma_{kl} {\tilde B}^k {\tilde B}^l}{{\tilde D}\sqrt{\gamma}}
      43             :  * \f}
      44             :  *
      45             :  * where the conserved variables \f${\tilde D}\f$, \f${\tilde S}_i\f$,
      46             :  * \f${\tilde \tau}\f$, and \f${\tilde B}^i\f$ are a generalized mass-energy
      47             :  * density, momentum density, specific internal energy density, and magnetic
      48             :  * field, and \f$\gamma\f$ and \f$\gamma^{kl}\f$ are the determinant and inverse
      49             :  * of the spatial metric \f$\gamma_{kl}\f$.
      50             :  *
      51             :  * \note This scheme does not use the initial guess for the pressure.
      52             :  */
      53           1 : class KastaunEtAl {
      54             :  public:
      55             :   template <bool EnforcePhysicality, typename EosType>
      56           0 :   static std::optional<PrimitiveRecoveryData> apply(
      57             :       double initial_guess_pressure, double tau,
      58             :       double momentum_density_squared,
      59             :       double momentum_density_dot_magnetic_field, double magnetic_field_squared,
      60             :       double rest_mass_density_times_lorentz_factor, double electron_fraction,
      61             :       const EosType& equation_of_state,
      62             :       const grmhd::ValenciaDivClean::PrimitiveFromConservativeOptions&
      63             :           primitive_from_conservative_options);
      64             : 
      65           0 :   static const std::string name() { return "KastaunEtAl"; }
      66             : 
      67             :  private:
      68           0 :   static constexpr size_t max_iterations_ = 100;
      69           0 :   static constexpr double absolute_tolerance_ =
      70             :       10.0 * std::numeric_limits<double>::epsilon();
      71           0 :   static constexpr double relative_tolerance_ =
      72             :       10.0 * std::numeric_limits<double>::epsilon();
      73             : };
      74             : }  // namespace grmhd::ValenciaDivClean::PrimitiveRecoverySchemes