SpECTRE
v2024.04.12
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Analytic initial data for the relativistic Orszag-Tang vortex. More...
#include <OrszagTangVortex.hpp>
Public Types | |
using | equation_of_state_type = EquationsOfState::IdealFluid< true > |
using | options = tmpl::list<> |
Public Types inherited from grmhd::AnalyticDataBase | |
template<typename DataType > | |
using | tags = tmpl::push_back< typename gr::AnalyticSolution< 3 >::template tags< DataType >, hydro::Tags::RestMassDensity< DataType >, hydro::Tags::ElectronFraction< DataType >, hydro::Tags::SpecificInternalEnergy< DataType >, hydro::Tags::Temperature< DataType >, hydro::Tags::Pressure< DataType >, hydro::Tags::SpatialVelocity< DataType, 3 >, hydro::Tags::MagneticField< DataType, 3 >, hydro::Tags::DivergenceCleaningField< DataType >, hydro::Tags::LorentzFactor< DataType >, hydro::Tags::SpecificEnthalpy< DataType > > |
Public Member Functions | |
OrszagTangVortex (const OrszagTangVortex &)=default | |
OrszagTangVortex & | operator= (const OrszagTangVortex &)=default |
OrszagTangVortex (OrszagTangVortex &&)=default | |
OrszagTangVortex & | operator= (OrszagTangVortex &&)=default |
auto | get_clone () const -> std::unique_ptr< evolution::initial_data::InitialData > override |
template<typename DataType , typename Tag1 , typename Tag2 , typename... Tags> | |
tuples::TaggedTuple< Tag1, Tag2, Tags... > | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< Tag1, Tag2, Tags... >) const |
Retrieve a collection of hydrodynamic variables at position x. | |
template<typename DataType , typename Tag , Requires< not tmpl::list_contains_v< tmpl::push_back< hydro::grmhd_tags< DataType >, hydro::Tags::SpecificEnthalpy< DataType > >, Tag > > = nullptr> | |
tuples::TaggedTuple< Tag > | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< Tag >) const |
Retrieve the metric variables. | |
const equation_of_state_type & | equation_of_state () const |
void | pup (PUP::er &) override |
template<typename DataType > | |
auto | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::RestMassDensity< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::RestMassDensity< DataType > > |
Retrieve hydro variable at x | |
template<typename DataType > | |
auto | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::ElectronFraction< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::ElectronFraction< DataType > > |
Retrieve hydro variable at x | |
template<typename DataType > | |
auto | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::SpecificInternalEnergy< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::SpecificInternalEnergy< DataType > > |
Retrieve hydro variable at x | |
template<typename DataType > | |
auto | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::Pressure< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::Pressure< DataType > > |
Retrieve hydro variable at x | |
template<typename DataType > | |
auto | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::SpatialVelocity< DataType, 3 > >) const -> tuples::TaggedTuple< hydro::Tags::SpatialVelocity< DataType, 3 > > |
Retrieve hydro variable at x | |
template<typename DataType > | |
auto | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::MagneticField< DataType, 3 > >) const -> tuples::TaggedTuple< hydro::Tags::MagneticField< DataType, 3 > > |
Retrieve hydro variable at x | |
template<typename DataType > | |
auto | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::DivergenceCleaningField< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::DivergenceCleaningField< DataType > > |
Retrieve hydro variable at x | |
template<typename DataType > | |
auto | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::LorentzFactor< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::LorentzFactor< DataType > > |
Retrieve hydro variable at x | |
template<typename DataType > | |
auto | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::SpecificEnthalpy< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::SpecificEnthalpy< DataType > > |
Retrieve hydro variable at x | |
template<typename DataType > | |
auto | variables (const tnsr::I< DataType, 3 > &x, tmpl::list< hydro::Tags::Temperature< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::Temperature< DataType > > |
Retrieve hydro variable at x | |
virtual auto | get_clone () const -> std::unique_ptr< InitialData >=0 |
Public Member Functions inherited from hydro::TemperatureInitialization< OrszagTangVortex > | |
auto | variables (const tnsr::I< DataType, Dim > &x, tmpl::list< hydro::Tags::Temperature< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::Temperature< DataType > > |
auto | variables (const tnsr::I< DataType, Dim > &x, const double t, tmpl::list< hydro::Tags::Temperature< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::Temperature< DataType > > |
auto | variables (ExtraVars &extra_variables, const tnsr::I< DataType, Dim > &x, Args &... extra_args, tmpl::list< hydro::Tags::Temperature< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::Temperature< DataType > > |
Static Public Attributes | |
static constexpr Options::String | help |
Static Public Attributes inherited from grmhd::AnalyticDataBase | |
static constexpr size_t | volume_dim = 3_st |
Analytic initial data for the relativistic Orszag-Tang vortex.
The relativistic version of the Orszag-Tang vortex is a 2-dimensional test case for relativistic MHD systems (see, e.g., [17]). It describes the flow of an ideal fluid with adiabatic index \(5/3\). The initial conditions (and hence the states at later times) are periodic in both \(x\) and \(y\) with period 1. The initial conditions are:
\begin{align*} \rho &= \frac{25}{36 \pi} \\ p &= \frac{5}{12 \pi} \\ v_x &= -\frac{1}{2} \sin(2 \pi y) \\ v_y &= \frac{1}{2} \sin(2 \pi x) \\ B_x &= -\frac{1}{\sqrt{4 \pi}} \sin(2 \pi y) \\ B_y &= \frac{1}{\sqrt{4 \pi}} \sin(4 \pi x) \end{align*}
with \(\rho\) the rest mass density, \(p\) the pressure, \(v_i\) the spatial velocity, and \(B_i\) the magnetic field.
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overridevirtual |
Implements evolution::initial_data::InitialData.
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staticconstexpr |