SpECTRE
v2024.05.11
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A Rusanov/local Lax-Friedrichs Riemann solver. More...
#include <Rusanov.hpp>
Public Types | |
using | options = tmpl::list<> |
using | dg_package_field_tags = tmpl::list< Tags::TildeD, Tags::TildeYe, Tags::TildeTau, Tags::TildeS< Frame::Inertial >, Tags::TildeB< Frame::Inertial >, Tags::TildePhi, ::Tags::NormalDotFlux< Tags::TildeD >, ::Tags::NormalDotFlux< Tags::TildeYe >, ::Tags::NormalDotFlux< Tags::TildeTau >, ::Tags::NormalDotFlux< Tags::TildeS< Frame::Inertial > >, ::Tags::NormalDotFlux< Tags::TildeB< Frame::Inertial > >, ::Tags::NormalDotFlux< Tags::TildePhi >, AbsCharSpeed > |
using | dg_package_data_temporary_tags = tmpl::list< gr::Tags::Lapse< DataVector >, gr::Tags::Shift< DataVector, 3 > > |
using | dg_package_data_primitive_tags = tmpl::list<> |
using | dg_package_data_volume_tags = tmpl::list<> |
using | dg_boundary_terms_volume_tags = tmpl::list<> |
Public Types inherited from grmhd::ValenciaDivClean::BoundaryCorrections::BoundaryCorrection | |
using | creatable_classes = tmpl::list< Hll, Rusanov > |
Public Member Functions | |
Rusanov (const Rusanov &)=default | |
Rusanov & | operator= (const Rusanov &)=default |
Rusanov (Rusanov &&)=default | |
Rusanov & | operator= (Rusanov &&)=default |
void | pup (PUP::er &p) override |
std::unique_ptr< BoundaryCorrection > | get_clone () const override |
Public Member Functions inherited from grmhd::ValenciaDivClean::BoundaryCorrections::BoundaryCorrection | |
BoundaryCorrection (const BoundaryCorrection &)=default | |
BoundaryCorrection & | operator= (const BoundaryCorrection &)=default |
BoundaryCorrection (BoundaryCorrection &&)=default | |
BoundaryCorrection & | operator= (BoundaryCorrection &&)=default |
virtual std::unique_ptr< BoundaryCorrection > | get_clone () const =0 |
Static Public Member Functions | |
static double | dg_package_data (gsl::not_null< Scalar< DataVector > * > packaged_tilde_d, gsl::not_null< Scalar< DataVector > * > packaged_tilde_ye, gsl::not_null< Scalar< DataVector > * > packaged_tilde_tau, gsl::not_null< tnsr::i< DataVector, 3, Frame::Inertial > * > packaged_tilde_s, gsl::not_null< tnsr::I< DataVector, 3, Frame::Inertial > * > packaged_tilde_b, gsl::not_null< Scalar< DataVector > * > packaged_tilde_phi, gsl::not_null< Scalar< DataVector > * > packaged_normal_dot_flux_tilde_d, gsl::not_null< Scalar< DataVector > * > packaged_normal_dot_flux_tilde_ye, gsl::not_null< Scalar< DataVector > * > packaged_normal_dot_flux_tilde_tau, gsl::not_null< tnsr::i< DataVector, 3, Frame::Inertial > * > packaged_normal_dot_flux_tilde_s, gsl::not_null< tnsr::I< DataVector, 3, Frame::Inertial > * > packaged_normal_dot_flux_tilde_b, gsl::not_null< Scalar< DataVector > * > packaged_normal_dot_flux_tilde_phi, gsl::not_null< Scalar< DataVector > * > packaged_abs_char_speed, const Scalar< DataVector > &tilde_d, const Scalar< DataVector > &tilde_ye, const Scalar< DataVector > &tilde_tau, const tnsr::i< DataVector, 3, Frame::Inertial > &tilde_s, const tnsr::I< DataVector, 3, Frame::Inertial > &tilde_b, const Scalar< DataVector > &tilde_phi, const tnsr::I< DataVector, 3, Frame::Inertial > &flux_tilde_d, const tnsr::I< DataVector, 3, Frame::Inertial > &flux_tilde_ye, const tnsr::I< DataVector, 3, Frame::Inertial > &flux_tilde_tau, const tnsr::Ij< DataVector, 3, Frame::Inertial > &flux_tilde_s, const tnsr::IJ< DataVector, 3, Frame::Inertial > &flux_tilde_b, const tnsr::I< DataVector, 3, Frame::Inertial > &flux_tilde_phi, const Scalar< DataVector > &lapse, const tnsr::I< DataVector, 3, Frame::Inertial > &shift, const tnsr::i< DataVector, 3, Frame::Inertial > &normal_covector, const tnsr::I< DataVector, 3, Frame::Inertial > &normal_vector, const std::optional< tnsr::I< DataVector, 3, Frame::Inertial > > &, const std::optional< Scalar< DataVector > > &normal_dot_mesh_velocity) |
static void | dg_boundary_terms (gsl::not_null< Scalar< DataVector > * > boundary_correction_tilde_d, gsl::not_null< Scalar< DataVector > * > boundary_correction_tilde_ye, gsl::not_null< Scalar< DataVector > * > boundary_correction_tilde_tau, gsl::not_null< tnsr::i< DataVector, 3, Frame::Inertial > * > boundary_correction_tilde_s, gsl::not_null< tnsr::I< DataVector, 3, Frame::Inertial > * > boundary_correction_tilde_b, gsl::not_null< Scalar< DataVector > * > boundary_correction_tilde_phi, const Scalar< DataVector > &tilde_d_int, const Scalar< DataVector > &tilde_ye_int, const Scalar< DataVector > &tilde_tau_int, const tnsr::i< DataVector, 3, Frame::Inertial > &tilde_s_int, const tnsr::I< DataVector, 3, Frame::Inertial > &tilde_b_int, const Scalar< DataVector > &tilde_phi_int, const Scalar< DataVector > &normal_dot_flux_tilde_d_int, const Scalar< DataVector > &normal_dot_flux_tilde_ye_int, const Scalar< DataVector > &normal_dot_flux_tilde_tau_int, const tnsr::i< DataVector, 3, Frame::Inertial > &normal_dot_flux_tilde_s_int, const tnsr::I< DataVector, 3, Frame::Inertial > &normal_dot_flux_tilde_b_int, const Scalar< DataVector > &normal_dot_flux_tilde_phi_int, const Scalar< DataVector > &abs_char_speed_int, const Scalar< DataVector > &tilde_d_ext, const Scalar< DataVector > &tilde_ye_ext, const Scalar< DataVector > &tilde_tau_ext, const tnsr::i< DataVector, 3, Frame::Inertial > &tilde_s_ext, const tnsr::I< DataVector, 3, Frame::Inertial > &tilde_b_ext, const Scalar< DataVector > &tilde_phi_ext, const Scalar< DataVector > &normal_dot_flux_tilde_d_ext, const Scalar< DataVector > &normal_dot_flux_tilde_ye_ext, const Scalar< DataVector > &normal_dot_flux_tilde_tau_ext, const tnsr::i< DataVector, 3, Frame::Inertial > &normal_dot_flux_tilde_s_ext, const tnsr::I< DataVector, 3, Frame::Inertial > &normal_dot_flux_tilde_b_ext, const Scalar< DataVector > &normal_dot_flux_tilde_phi_ext, const Scalar< DataVector > &abs_char_speed_ext, dg::Formulation dg_formulation) |
Static Public Attributes | |
static constexpr Options::String | help |
A Rusanov/local Lax-Friedrichs Riemann solver.
Let \(U\) be the state vector of evolved variables, \(F^i\) the corresponding fluxes, and \(n_i\) be the outward directed unit normal to the interface. Denoting \(F := n_i F^i\), the Rusanov boundary correction is
\begin{align*} G_\text{Rusanov} = \frac{F_\text{int} - F_\text{ext}}{2} - \frac{\text{max}\left(\{|\lambda_\text{int}|\}, \{|\lambda_\text{ext}|\}\right)}{2} \left(U_\text{ext} - U_\text{int}\right), \end{align*}
where "int" and "ext" stand for interior and exterior, and \(\{|\lambda|\}\) is the set of characteristic/signal speeds. The minus sign in front of the \(F_{\text{ext}}\) is necessary because the outward directed normal of the neighboring element has the opposite sign, i.e. \(n_i^{\text{ext}}=-n_i^{\text{int}}\). The characteristic/signal speeds are given in the documentation for grmhd::ValenciaDivClean::characteristic_speeds(). Since the fluid is travelling slower than the speed of light, the speeds we are interested in are
\begin{align*} \lambda_{\pm}&=\pm\alpha-\beta^i n_i, \end{align*}
which correspond to the divergence cleaning field.
dg_boundary_terms
function returns \(G - F_\text{int}\)
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overridevirtual |
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staticconstexpr |