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 = implementation defined

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:

$\begin{aligned} \partial_{t} S^{i} + \partial_{j} F^{j} (S^{i}) & = S (S^{i}) = ρ g^{i} \partial_{t} e + \partial_{j} F^{j} (e) & = S (e) = S_{i} g^{i}, \end{aligned}$

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 $ρ$ 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()

auto NewtonianEuler::Sources::LaneEmdenGravitationalField::get_clone ( ) const -> std::unique_ptr< Source >

overridevirtual

Implements NewtonianEuler::Sources::Source< 3 >.

Member Data Documentation

◆ help

constexpr Options::String NewtonianEuler::Sources::LaneEmdenGravitationalField::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

Classes

Public Types

Public Member Functions

Static Public Attributes

Detailed Description

Member Function Documentation

◆ get_clone()

Member Data Documentation

◆ help