Compute the RHS terms and flux values for both the Generalized Harmonic formulation of Einstein's equations and the Valencia formulation of the GRMHD equations with divergence cleaning. More...

#include <TimeDerivativeTerms.hpp>

Public Types
using	gh_dt_tags = db::wrap_tags_in<::Tags::dt, typename gh::System< 3_st >::variables_tag::tags_list >

using	valencia_dt_tags = db::wrap_tags_in< ::Tags::dt, typename grmhd::ValenciaDivClean::System::variables_tag::tags_list >

using	dt_tags = implementation defined

using	d_spatial_metric = ::Tags::deriv< gr::Tags::SpatialMetric< DataVector, 3 >, tmpl::size_t< 3 >, Frame::Inertial >

using	valencia_flux_tags = implementation defined

using	gh_temp_tags = typename gh::TimeDerivative< ghmhd::GhValenciaDivClean::InitialData::analytic_solutions_and_data_list, 3_st >::temporary_tags

using	gh_gradient_tags = typename gh::System< 3_st >::gradients_tags

using	gh_arg_tags = typename gh::TimeDerivative< ghmhd::GhValenciaDivClean::InitialData::analytic_solutions_and_data_list, 3_st >::argument_tags

using	valencia_temp_tags = typename grmhd::ValenciaDivClean::TimeDerivativeTerms::temporary_tags

using	valencia_extra_temp_tags = implementation defined

using	valencia_arg_tags = implementation defined

using	trace_reversed_stress_result_tags = implementation defined

using	trace_reversed_stress_argument_tags = implementation defined

using	extra_temp_tags = implementation defined

using	temporary_tags = implementation defined

using	argument_tags = implementation defined

Static Public Member Functions
template<typename... Args>
static evolution::dg::TimeDerivativeDecisions< 3 >	apply (const gsl::not_null< Variables< dt_tags > * > dt_vars_ptr, const gsl::not_null< Variables< db::wrap_tags_in< ::Tags::Flux, typename ValenciaDivClean::System::flux_variables, tmpl::size_t< 3 >, Frame::Inertial > > * > fluxes_ptr, const gsl::not_null< Variables< temporary_tags > * > temps_ptr, const tnsr::iaa< DataVector, 3 > &d_spacetime_metric, const tnsr::iaa< DataVector, 3 > &d_pi, const tnsr::ijaa< DataVector, 3 > &d_phi, const Args &... args)

Detailed Description

Compute the RHS terms and flux values for both the Generalized Harmonic formulation of Einstein's equations and the Valencia formulation of the GRMHD equations with divergence cleaning.

Details

The bulk of the computations in this class dispatch to gh::TimeDerivative and grmhd::ValenciaDivClean::TimeDerivativeTerms as a 'product system' – each independently operating on its own subset of the supplied variable collections. The additional step is taken to compute the trace-reversed stress energy tensor associated with the GRMHD part of the system and add its contribution to the $\partial_{t} Π_{a b}$ variable in the Generalized Harmonic system, which is the only explicit coupling required to back-react the effect of matter on the spacetime solution.

Note: The MHD calculation reuses any spacetime quantities in its argument_tags that are computed by the GH time derivative. However, other quantities that aren't computed by the GH time derivative like the extrinsic curvature are currently still retrieved from the DataBox. Those calculations can be explicitly inlined here to reduce memory pressure and the number of compute tags.

The documentation for this struct was generated from the following file:

src/Evolution/Systems/GrMhd/GhValenciaDivClean/TimeDerivativeTerms.hpp

Public Types

Static Public Member Functions

Detailed Description

Details