SpECTRE Documentation Coverage Report
 Current view: top level - Evolution/Systems/GrMhd/ValenciaDivClean - PalenzuelaEtAl.hpp Hit Total Coverage Commit: 318ae36d2001e2abec5256f34415b420007ed6cc Lines: 1 7 14.3 % Date: 2024-07-18 18:43:07 Legend: Lines: hit not hit
  Line data Source code  1 0 : // Distributed under the MIT License. 2 : // See LICENSE.txt for details. 3 : 4 : #pragma once 5 : 6 : #include 7 : #include 8 : #include 9 : #include 10 : 11 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/PrimitiveRecoveryData.hpp" 12 : 13 : /// \cond 14 : namespace EquationsOfState { 15 : template 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 56 0 : static std::optional 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::epsilon(); 71 0 : static constexpr double relative_tolerance_ = 72 : 10.0 * std::numeric_limits::epsilon(); 73 : }; 74 : } // namespace grmhd::ValenciaDivClean::PrimitiveRecoverySchemes 

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