NewtonianEuler::Sources::LaneEmdenGravitationalField Class Reference
Source giving the acceleration due to gravity in the spherical, Newtonian Lane-Emden star solution. More...
#include <LaneEmdenGravitationalField.hpp>
Classes | |
| struct | CentralMassDensity |
| The central mass density of the star. More... | |
| struct | PolytropicConstant |
| The polytropic constant of the polytropic fluid. More... | |
Public Types | |
| using | options = tmpl::list< CentralMassDensity, PolytropicConstant > |
Public Member Functions | |
| LaneEmdenGravitationalField (double central_mass_density, double polytropic_constant) | |
| LaneEmdenGravitationalField (const LaneEmdenGravitationalField &)=default | |
| LaneEmdenGravitationalField & | operator= (const LaneEmdenGravitationalField &)=default |
| LaneEmdenGravitationalField (LaneEmdenGravitationalField &&)=default | |
| LaneEmdenGravitationalField & | operator= (LaneEmdenGravitationalField &&)=default |
| void | pup (PUP::er &p) override |
| auto | get_clone () const -> std::unique_ptr< Source > override |
| void | operator() (gsl::not_null< Scalar< DataVector > * > source_mass_density_cons, gsl::not_null< tnsr::I< DataVector, 3 > * > source_momentum_density, gsl::not_null< Scalar< DataVector > * > source_energy_density, const Scalar< DataVector > &mass_density_cons, const tnsr::I< DataVector, 3 > &momentum_density, const Scalar< DataVector > &energy_density, const tnsr::I< DataVector, 3 > &velocity, const Scalar< DataVector > &pressure, const Scalar< DataVector > &specific_internal_energy, const EquationsOfState::EquationOfState< false, 2 > &eos, const tnsr::I< DataVector, 3 > &coords, double time) const override |
 Public Member Functions inherited from NewtonianEuler::Sources::Source< 3 > | |
| virtual auto | get_clone () const -> std::unique_ptr< Source >=0 |
| virtual void | operator() (gsl::not_null< Scalar< DataVector > * > source_mass_density_cons, gsl::not_null< tnsr::I< DataVector, Dim > * > source_momentum_density, gsl::not_null< Scalar< DataVector > * > source_energy_density, const Scalar< DataVector > &mass_density_cons, const tnsr::I< DataVector, Dim > &momentum_density, const Scalar< DataVector > &energy_density, const tnsr::I< DataVector, Dim > &velocity, const Scalar< DataVector > &pressure, const Scalar< DataVector > &specific_internal_energy, const EquationsOfState::EquationOfState< false, 2 > &eos, const tnsr::I< DataVector, Dim > &coords, double time) const=0 |
Static Public Attributes | |
| static constexpr Options::String | help |
Detailed Description
Source giving the acceleration due to gravity in the spherical, Newtonian Lane-Emden star solution.
The gravitational field \(g^i\) enters the NewtonianEuler system as source terms for the conserved momentum and energy:
\begin{align*} \partial_t S^i + \partial_j F^{j}(S^i) &= S(S^i) = \rho g^i \partial_t e + \partial_j F^{j}(e) &= S(e) = S_i g^i, \end{align*}
where \(S^i\) is the conserved momentum density, \(e\) is the conserved energy, \(F^{j}(u)\) is the flux of the conserved quantity \(u\), and \(\rho\) is the fluid mass density.
- Note
- This source is specialized to the Lane-Emden solution because it queries a LaneEmdenStar analytic solution for the gravitational field that generates the fluid acceleration. This source does not integrate the fluid density to compute a self-consistent gravitational field (i.e., as if one were solving a coupled Euler + Poisson system).
Member Function Documentation
◆ get_clone()
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overridevirtual |
Implements NewtonianEuler::Sources::Source< 3 >.
Member Data Documentation
◆ help
|
staticconstexpr |
Initial value:
= {
"The gravitational field corresponding to a static, "
"spherically-symmetric star in Newtonian gravity, found by "
"solving the Lane-Emden equations, with a given central density and "
"polytropic fluid. The fluid has polytropic index 1, but the polytropic "
"constant is specifiable"}
The documentation for this class was generated from the following file:
- src/Evolution/Systems/NewtonianEuler/Sources/LaneEmdenGravitationalField.hpp