Periodic GrMhd solution in Minkowski spacetime. More...

#include <SmoothFlow.hpp>

Public Types
using	options = smooth_flow::options
Public Types inherited from RelativisticEuler::Solutions::SmoothFlow< 3 >
using	options
Public Types inherited from RelativisticEuler::AnalyticSolution< Dim >
template<typename DataType>
using	tags

Public Member Functions
	SmoothFlow (const SmoothFlow &)=default
SmoothFlow &	operator= (const SmoothFlow &)=default
	SmoothFlow (SmoothFlow &&)=default
SmoothFlow &	operator= (SmoothFlow &&)=default
	SmoothFlow (const std::array< double, 3 > &mean_velocity, const std::array< double, 3 > &wavevector, double pressure, double adiabatic_index, double perturbation_size)
auto	get_clone () const -> std::unique_ptr< evolution::initial_data::InitialData > override
template<typename DataType, typename... Tags>
tuples::TaggedTuple< Tags... >	variables (const tnsr::I< DataType, 3 > &x, double t, tmpl::list< Tags... >) const
	Retrieve a collection of hydro variables at (x, t)
void	pup (PUP::er &) override
auto	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< hydro::Tags::Temperature< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::Temperature< DataType > >
auto	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< hydro::Tags::ElectronFraction< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::ElectronFraction< DataType > >
tuples::TaggedTuple< Tags... >	variables (const tnsr::I< DataType, Dim > &x, const double t, tmpl::list< Tags... >) const
	Retrieve a collection of hydro variables at (x, t)
tuples::TaggedTuple< Tag >	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< Tag >) const
	Retrieve the metric variables.
tuples::TaggedTuple< hydro::Tags::MagneticField< DataType, Dim > >	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< hydro::Tags::MagneticField< DataType, Dim > >) const
tuples::TaggedTuple< hydro::Tags::DivergenceCleaningField< DataType > >	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< hydro::Tags::DivergenceCleaningField< DataType > >) const

template<typename DataType>
auto	variables (const tnsr::I< DataType, 3 > &x, double, tmpl::list< hydro::Tags::MagneticField< DataType, 3 > >) const -> tuples::TaggedTuple< hydro::Tags::MagneticField< DataType, 3 > >
	Retrieve hydro variable at (x, t)
template<typename DataType>
auto	variables (const tnsr::I< DataType, 3 > &x, double, tmpl::list< hydro::Tags::DivergenceCleaningField< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::DivergenceCleaningField< DataType > >
	Retrieve hydro variable at (x, t)
Public Member Functions inherited from RelativisticEuler::Solutions::SmoothFlow< 3 >
	SmoothFlow (const SmoothFlow &)=default
SmoothFlow &	operator= (const SmoothFlow &)=default
	SmoothFlow (SmoothFlow &&)=default
SmoothFlow &	operator= (SmoothFlow &&)=default
	SmoothFlow (const std::array< double, Dim > &mean_velocity, const std::array< double, Dim > &wavevector, double pressure, double adiabatic_index, double perturbation_size)
auto	get_clone () const -> std::unique_ptr< evolution::initial_data::InitialData > override
auto	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< hydro::Tags::Temperature< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::Temperature< DataType > >
auto	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< hydro::Tags::ElectronFraction< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::ElectronFraction< DataType > >
tuples::TaggedTuple< Tags... >	variables (const tnsr::I< DataType, Dim > &x, const double t, tmpl::list< Tags... >) const
	Retrieve a collection of hydro variables at (x, t)
tuples::TaggedTuple< Tag >	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< Tag >) const
	Retrieve the metric variables.
tuples::TaggedTuple< hydro::Tags::MagneticField< DataType, Dim > >	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< hydro::Tags::MagneticField< DataType, Dim > >) const
tuples::TaggedTuple< hydro::Tags::DivergenceCleaningField< DataType > >	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< hydro::Tags::DivergenceCleaningField< DataType > >) const
void	pup (PUP::er &) override
const EquationsOfState::IdealFluid< IsRelativistic > &	equation_of_state () const
auto	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< hydro::Tags::RestMassDensity< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::RestMassDensity< DataType > >
	Retrieve hydro variable at (x, t)
auto	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< hydro::Tags::SpecificInternalEnergy< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::SpecificInternalEnergy< DataType > >
auto	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< hydro::Tags::Pressure< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::Pressure< DataType > >
auto	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< hydro::Tags::SpatialVelocity< DataType, Dim > >) const -> tuples::TaggedTuple< hydro::Tags::SpatialVelocity< DataType, Dim > >
auto	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< hydro::Tags::LorentzFactor< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::LorentzFactor< DataType > >
auto	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< hydro::Tags::SpecificEnthalpy< DataType > >) const -> tuples::TaggedTuple< hydro::Tags::SpecificEnthalpy< DataType > >
Public Member Functions inherited from hydro::TemperatureInitialization< SmoothFlow< Dim > >
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 RelativisticEuler::Solutions::SmoothFlow< 3 >
static constexpr Options::String	help
Static Public Attributes inherited from RelativisticEuler::AnalyticSolution< Dim >
static constexpr size_t	volume_dim = Dim

Friends
bool	operator== (const SmoothFlow &lhs, const SmoothFlow &rhs)

Detailed Description

Periodic GrMhd solution in Minkowski spacetime.

An analytic solution to the 3-D GrMhd system. The user specifies the mean flow velocity of the fluid, the wavevector of the density profile, and the amplitude \(A\) of the density profile. The magnetic field is taken to be zero everywhere. In Cartesian coordinates \((x, y, z)\), and using dimensionless units, the primitive quantities at a given time \(t\) are then

\begin{align*}\rho(\vec{x},t) &= 1 + A \sin(\vec{k}\cdot(\vec{x} - \vec{v}t)) \\ \vec{v}(\vec{x},t) &= [v_x, v_y, v_z]^{T},\\ P(\vec{x},t) &= P, \\ \epsilon(\vec{x}, t) &= \frac{P}{(\gamma - 1)\rho}\\ \vec{B}(\vec{x},t) &= [0, 0, 0]^{T} \end{align*}

Member Function Documentation

◆ get_clone()

auto grmhd::Solutions::SmoothFlow::get_clone ( ) const -> std::unique_ptr< evolution::initial_data::InitialData >

overridevirtual

Implements evolution::initial_data::InitialData.

Member Data Documentation

◆ help

Options::String grmhd::Solutions::SmoothFlow::help

staticconstexpr

Initial value:

= {

"Periodic smooth flow in Minkowski spacetime with zero magnetic field."}

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

src/PointwiseFunctions/AnalyticSolutions/GrMhd/SmoothFlow.hpp

Public Types

Public Member Functions

Static Public Attributes

Friends

Detailed Description

Member Function Documentation

◆ get_clone()

Member Data Documentation

◆ help