grmhd::Solutions::SmoothFlow Class Reference
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 = typename smooth_flow::options |
| Public Types inherited from RelativisticEuler::AnalyticSolution< Dim > | |
| template<typename DataType > | |
| using | tags = tmpl::push_back< typename gr::AnalyticSolution< Dim >::template tags< DataType >, hydro::Tags::RestMassDensity< DataType >, hydro::Tags::SpecificInternalEnergy< DataType >, hydro::Tags::Pressure< DataType >, hydro::Tags::SpatialVelocity< DataType, Dim >, hydro::Tags::MagneticField< DataType, Dim >, hydro::Tags::DivergenceCleaningField< DataType >, hydro::Tags::LorentzFactor< DataType >, hydro::Tags::SpecificEnthalpy< DataType > > |
Public Member Functions | |
| SmoothFlow (const SmoothFlow &)=delete | |
| SmoothFlow & | operator= (const SmoothFlow &)=delete |
| SmoothFlow (SmoothFlow &&) noexcept=default | |
| SmoothFlow & | operator= (SmoothFlow &&) noexcept=default |
| SmoothFlow (const std::array< double, 3 > &mean_velocity, const std::array< double, 3 > &wavevector, double pressure, double adiabatic_index, double perturbation_size) noexcept | |
| template<typename DataType , typename... Tags> | |
| tuples::TaggedTuple< Tags... > | variables (const tnsr::I< DataType, 3 > &x, double t, tmpl::list< Tags... >) const noexcept |
Retrieve a collection of hydro variables at (x, t) | |
| void | pup (PUP::er &) noexcept |
| template<typename DataType > | |
| auto | variables (const tnsr::I< DataType, 3 > &x, double, tmpl::list< hydro::Tags::MagneticField< DataType, 3 > >) const noexcept -> 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 noexcept -> tuples::TaggedTuple< hydro::Tags::DivergenceCleaningField< DataType > > |
Retrieve hydro variable at (x, t) | |
| Public Member Functions inherited from RelativisticEuler::Solutions::SmoothFlow< 3 > | |
| SmoothFlow (const SmoothFlow &)=delete | |
| SmoothFlow (SmoothFlow &&) noexcept=default | |
| SmoothFlow (const std::array< double, Dim > &mean_velocity, const std::array< double, Dim > &wavevector, double pressure, double adiabatic_index, double perturbation_size) noexcept | |
| SmoothFlow (CkMigrateMessage *msg) noexcept | |
| SmoothFlow & | operator= (const SmoothFlow &)=delete |
| SmoothFlow & | operator= (SmoothFlow &&) noexcept=default |
| tuples::TaggedTuple< Tags... > | variables (const tnsr::I< DataType, Dim > &x, const double t, tmpl::list< Tags... >) const noexcept |
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 noexcept |
| 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 noexcept |
| tuples::TaggedTuple< hydro::Tags::DivergenceCleaningField< DataType > > | variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< hydro::Tags::DivergenceCleaningField< DataType > >) const noexcept |
| void | pup (PUP::er &) noexcept |
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) noexcept |
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 Data Documentation
◆ help
|
staticconstexpr |
Initial value:
= {
"Periodic smooth flow in Minkowski spacetime with zero magnetic field."}