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             : namespace grmhd::ValenciaDivClean::PrimitiveRecoverySchemes {
      24             : 
      25             : /*!
      26             :  * \brief Compute the primitive variables from the conservative variables using
      27             :  * the scheme of [Palenzuela et al, Phys. Rev. D 92, 044045
      28             :  * (2015)](https://doi.org/10.1103/PhysRevD.92.044045).
      29             :  *
      30             :  * In the notation of the Palenzuela paper, `tau` is \f$D q\f$,
      31             :  * `momentum_density_squared` is \f$r^2 D^2\f$,
      32             :  * `momentum_density_dot_magnetic_field` is \f$t D^{\frac{3}{2}}\f$,
      33             :  * `magnetic_field_squared` is \f$s D\f$, and
      34             :  * `rest_mass_density_times_lorentz_factor` is \f$D\f$.
      35             :  * Furthermore, the returned `PrimitiveRecoveryData.rho_h_w_squared` is \f$x
      36             :  * D\f$.  Note also that \f$h\f$ in the Palenzuela paper is the specific
      37             :  * enthalpy times the rest mass density.
      38             :  *
      39             :  * In terms of the conservative variables (in our notation):
      40             :  * \f{align*}
      41             :  * q = & \frac{{\tilde \tau}}{{\tilde D}} \\
      42             :  * r = & \frac{\gamma^{mn} {\tilde S}_m {\tilde S}_n}{{\tilde D}^2} \\
      43             :  * t^2 = & \frac{({\tilde B}^m {\tilde S}_m)^2}{{\tilde D}^3 \sqrt{\gamma}} \\
      44             :  * s = & \frac{\gamma_{mn} {\tilde B}^m {\tilde B}^n}{{\tilde D}\sqrt{\gamma}}
      45             :  * \f}
      46             :  *
      47             :  * where the conserved variables \f${\tilde D}\f$, \f${\tilde S}_i\f$,
      48             :  * \f${\tilde \tau}\f$, and \f${\tilde B}^i\f$ are a generalized mass-energy
      49             :  * density, momentum density, specific internal energy density, and magnetic
      50             :  * field, and \f$\gamma\f$ and \f$\gamma^{mn}\f$ are the determinant and inverse
      51             :  * of the spatial metric \f$\gamma_{mn}\f$.
      52             :  */
      53           1 : class PalenzuelaEtAl {
      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 "PalenzuelaEtAl"; }
      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