grmhd::AnalyticData::BlastWave Class Reference

Analytic initial data for a cylindrical or spherical blast wave. More...

#include <BlastWave.hpp>

Classes
struct	AdiabaticIndex
	The adiabatic index of the ideal fluid. More...
struct	GeometryOption
	The geometry of the blast wave, i.e. Cylindrical or Spherical. More...
struct	InnerDensity
	Density at radii less than InnerRadius. More...
struct	InnerPressure
	Pressure at radii less than InnerRadius. More...
struct	InnerRadius
	Inside InnerRadius, density is InnerDensity. More...
struct	MagneticField
	The x,y,z components of the uniform magnetic field threading the matter. More...
struct	OuterDensity
	Density at radii greater than OuterRadius. More...
struct	OuterPressure
	Pressure at radii greater than OuterRadius. More...
struct	OuterRadius
	Outside OuterRadius, density is OuterDensity. More...

Public Types
enum class	Geometry { Cylindrical , Spherical }
using	equation_of_state_type = EquationsOfState::IdealFluid< true >
using	options = implementation defined
Public Types inherited from grmhd::AnalyticDataBase
template<typename DataType >
using	tags = implementation defined

Public Member Functions
	BlastWave (const BlastWave &)=default
BlastWave &	operator= (const BlastWave &)=default
	BlastWave (BlastWave &&)=default
BlastWave &	operator= (BlastWave &&)=default
	BlastWave (double inner_radius, double outer_radius, double inner_density, double outer_density, double inner_pressure, double outer_pressure, const std::array< double, 3 > &magnetic_field, double adiabatic_index, Geometry geometry, const Options::Context &context={})
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< tmpl::list_contains_v< gr::analytic_solution_tags< 3, DataType >, Tag > > = nullptr>
tuples::TaggedTuple< Tag >	variables (const tnsr::I< DataType, 3 > &x, tmpl::list< Tag >) const
	Retrieve the metric variables.
const EquationsOfState::IdealFluid< true > &	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 the GRMHD variables at a given position.
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 the GRMHD variables at a given position.
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 the GRMHD variables at a given position.
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 the GRMHD variables at a given position.
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 the GRMHD variables at a given position.
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 the GRMHD variables at a given position.
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 the GRMHD variables at a given position.
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 the GRMHD variables at a given position.
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 the GRMHD variables at a given position.
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 the GRMHD variables at a given position.
virtual auto	get_clone () const -> std::unique_ptr< InitialData >=0
Public Member Functions inherited from hydro::TemperatureInitialization< BlastWave >
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

Friends
bool	operator== (const BlastWave &lhs, const BlastWave &rhs)
bool	operator!= (const BlastWave &lhs, const BlastWave &rhs)

Detailed Description

Analytic initial data for a cylindrical or spherical blast wave.

This class implements analytic initial data for a cylindrical blast wave, as described, e.g., in [111] Sec. 6.2.3. A uniform magnetic field threads an ideal fluid. The solution begins with material at fixed (typically high) density and pressure at rest inside a cylinder of radius $r<r_{\mathrm{i}\mathrm{n}}$ and material at fixed (typically low) density and pressure at rest in a cylindrical shell with radius $r>r_{\mathrm{o}\mathrm{u}\mathrm{t}}$. In the region $r_{\mathrm{i}\mathrm{n}}<r<r_{\mathrm{o}\mathrm{u}\mathrm{t}}$, the solution transitions such that the logarithms of the density and pressure vary linearly. E.g., if $\rho (r<r_{\mathrm{i}\mathrm{n}})={\rho }_{\mathrm{i}\mathrm{n}}$ and $\rho (r>r_{\mathrm{o}\mathrm{u}\mathrm{t}})={\rho }_{\mathrm{o}\mathrm{u}\mathrm{t}}$, then

$$\log \rho =[(r_{\mathrm{i}\mathrm{n}}-r)\log \left({\rho }_{\mathrm{o}\mathrm{u}\mathrm{t}}\right)+(r-r_{\mathrm{o}\mathrm{u}\mathrm{t}})\log \left({\rho }_{\mathrm{i}\mathrm{n}}\right)]/(r_{\mathrm{i}\mathrm{n}}-r_{\mathrm{o}\mathrm{u}\mathrm{t}}).$$

Note that the cylinder's axis is the $z$ axis. To evolve this analytic initial data, use a cubic or cylindrical domain with periodic boundary conditions applied to the outer boundaries whose normals are parallel or antiparallel to the z axis. In the transverse (e.g., x and y) dimensions, the domain should be large enough that the blast wave doesn't reach the boundary at the final time. E.g., if InnerRadius = 0.8, OuterRadius = 1.0, and the final time is 4.0, a good domain extends from (x,y)=(-6.0, -6.0) to (x,y)=(6.0, 6.0).

An analogous problem with spherical geometry has also been used [35] [36] [39]. The magnetic field is chosen to be in the z-direction instead of the x-direction.

Member Function Documentation

get_clone()

auto grmhd::AnalyticData::BlastWave::get_clone ( ) const -> std::unique_ptr< evolution::initial_data::InitialData >

overridevirtual

Implements evolution::initial_data::InitialData.

Member Data Documentation

help

constexpr Options::String grmhd::AnalyticData::BlastWave::help

staticconstexpr

Initial value:

= {
      "Cylindrical or spherical blast wave analytic initial data."}

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

• src/PointwiseFunctions/AnalyticData/GrMhd/BlastWave.hpp