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SpECTRE
v2026.09.05
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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 |
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 | |
| Public Member Functions inherited from evolution::initial_data::InitialData | |
| virtual const InitialData & | unwrap () const |
| Unwrap wrapper types (e.g. WithNoise, which wraps analytic initial data and adds random noise) to reach the underlying analytic solution or data. | |
| 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 > > |
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., [18]). 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 |