Equation of state for a polytropic fluid. More...

#include <PolytropicFluid.hpp>

Classes
struct	PolytropicConstant
struct	PolytropicExponent

Public Types
using	options = tmpl::list<PolytropicConstant, PolytropicExponent>
Public Types inherited from EquationsOfState::EquationOfState< IsRelativistic, 1 >
using	creatable_classes

Public Member Functions
	PolytropicFluid (const PolytropicFluid &)=default
PolytropicFluid &	operator= (const PolytropicFluid &)=default
	PolytropicFluid (PolytropicFluid &&)=default
PolytropicFluid &	operator= (PolytropicFluid &&)=default
	PolytropicFluid (double polytropic_constant, double polytropic_exponent)
std::unique_ptr< EquationOfState< IsRelativistic, 1 > >	get_clone () const override
std::unique_ptr< EquationOfState< IsRelativistic, 3 > >	promote_to_3d_eos () const override
	Create a 3D EOS from the 1D EOS.
std::unique_ptr< EquationOfState< IsRelativistic, 2 > >	promote_to_2d_eos () const override
	Create a 2D EOS from the 1D EOS.
bool	is_equal (const EquationOfState< IsRelativistic, 1 > &rhs) const override
bool	operator== (const PolytropicFluid< IsRelativistic > &rhs) const
bool	operator!= (const PolytropicFluid< IsRelativistic > &rhs) const
	WRAPPED_PUPable_decl_base_template (SINGLE_ARG(EquationOfState< IsRelativistic, 1 >), PolytropicFluid)
double	rest_mass_density_lower_bound () const override
	The lower bound of the rest mass density that is valid for this EOS.
double	rest_mass_density_upper_bound () const override
	The upper bound of the rest mass density that is valid for this EOS.
double	specific_enthalpy_lower_bound () const override
	The lower bound of the specific enthalpy that is valid for this EOS.
double	specific_internal_energy_lower_bound () const override
	The lower bound of the specific internal energy that is valid for this EOS.
double	specific_internal_energy_upper_bound () const override
	The upper bound of the specific internal energy that is valid for this EOS.
double	baryon_mass () const override
	The vacuum baryon mass for this EoS.
Public Member Functions inherited from EquationsOfState::EquationOfState< IsRelativistic, 1 >
	EquationOfState (const EquationOfState &)=default
EquationOfState &	operator= (const EquationOfState &)=default
	EquationOfState (EquationOfState &&)=default
EquationOfState &	operator= (EquationOfState &&)=default
	EquationOfState (CkMigrateMessage *msg)
	WRAPPED_PUPable_abstract (EquationOfState)
bool	is_barotropic () const
	Returns true if the EOS is barotropic.
virtual Scalar< double >	equilibrium_electron_fraction_from_density_temperature (const Scalar< double > &rest_mass_density, const Scalar< double > &) const
virtual Scalar< DataVector >	equilibrium_electron_fraction_from_density_temperature (const Scalar< DataVector > &rest_mass_density, const Scalar< DataVector > &) const
virtual Scalar< double >	pressure_from_density (const Scalar< double > &) const =0
virtual Scalar< DataVector >	pressure_from_density (const Scalar< DataVector > &) const =0
virtual Scalar< double >	rest_mass_density_from_enthalpy (const Scalar< double > &) const =0
virtual Scalar< DataVector >	rest_mass_density_from_enthalpy (const Scalar< DataVector > &) const =0
virtual Scalar< double >	specific_internal_energy_from_density (const Scalar< double > &) const =0
virtual Scalar< DataVector >	specific_internal_energy_from_density (const Scalar< DataVector > &) const =0
virtual Scalar< double >	temperature_from_density (const Scalar< double > &) const
virtual Scalar< DataVector >	temperature_from_density (const Scalar< DataVector > &rest_mass_density) const
virtual Scalar< double >	temperature_from_specific_internal_energy (const Scalar< double > &) const
virtual Scalar< DataVector >	temperature_from_specific_internal_energy (const Scalar< DataVector > &specific_internal_energy) const
virtual Scalar< double >	chi_from_density (const Scalar< double > &) const =0
virtual Scalar< DataVector >	chi_from_density (const Scalar< DataVector > &) const =0
virtual Scalar< double >	kappa_times_p_over_rho_squared_from_density (const Scalar< double > &) const =0
virtual Scalar< DataVector >	kappa_times_p_over_rho_squared_from_density (const Scalar< DataVector > &) const =0
virtual double	electron_fraction_lower_bound () const
	The lower bound of the electron fraction that is valid for this EOS.
virtual double	electron_fraction_upper_bound () const
	The upper bound of the electron fraction that is valid for this EOS.
virtual double	temperature_lower_bound () const
	The lower bound of the temperature that is valid for this EOS.
virtual double	temperature_upper_bound () const
	The upper bound of the temperature that is valid for this EOS.

Static Public Attributes
static constexpr size_t	thermodynamic_dim = 1
static constexpr bool	is_relativistic = IsRelativistic
static constexpr Options::String	help
Static Public Attributes inherited from EquationsOfState::EquationOfState< IsRelativistic, 1 >
static constexpr bool	is_relativistic = IsRelativistic
static constexpr size_t	thermodynamic_dim = 1

Detailed Description

template<bool IsRelativistic>
class EquationsOfState::PolytropicFluid< IsRelativistic >

Equation of state for a polytropic fluid.

A polytropic equation of state \(p=K\rho^{\Gamma}\) where \(K\) is the polytropic constant and \(\Gamma\) is the polytropic exponent. The polytropic exponent is related to the polytropic index \(N_p\) by \(N_p=1/(\Gamma-1)\).

We also have

\begin{align}\epsilon&=\frac{K\rho^{\Gamma-1}}{\Gamma-1}\\ h&=1+\epsilon+\frac{p}{\rho}=1+\frac{K\Gamma}{\Gamma-1}\rho^{\Gamma-1} \\ T&=0 \\ c_s^2&=\frac{\Gamma p}{\rho h} =\frac{\Gamma(\Gamma-1)p}{\rho(\Gamma-1)+\Gamma p} =\left(\frac{1}{\Gamma K\rho^{\Gamma-1}}+\frac{1}{\Gamma-1}\right)^{-1} \end{align}

Member Function Documentation

◆ baryon_mass()

template<bool IsRelativistic>

double EquationsOfState::PolytropicFluid< IsRelativistic >::baryon_mass ( ) const

inlineoverridevirtual

The vacuum baryon mass for this EoS.

Reimplemented from EquationsOfState::EquationOfState< IsRelativistic, 1 >.

◆ get_clone()

template<bool IsRelativistic>

std::unique_ptr< EquationOfState< IsRelativistic, 1 > > EquationsOfState::PolytropicFluid< IsRelativistic >::get_clone ( ) const

overridevirtual

Implements EquationsOfState::EquationOfState< IsRelativistic, 1 >.

◆ is_equal()

template<bool IsRelativistic>

bool EquationsOfState::PolytropicFluid< IsRelativistic >::is_equal ( const EquationOfState< IsRelativistic, 1 > & rhs ) const

overridevirtual

Implements EquationsOfState::EquationOfState< IsRelativistic, 1 >.

◆ promote_to_2d_eos()

template<bool IsRelativistic>

std::unique_ptr< EquationOfState< IsRelativistic, 2 > > EquationsOfState::PolytropicFluid< IsRelativistic >::promote_to_2d_eos ( ) const

overridevirtual

Create a 2D EOS from the 1D EOS.

Implements EquationsOfState::EquationOfState< IsRelativistic, 1 >.

◆ promote_to_3d_eos()

template<bool IsRelativistic>

std::unique_ptr< EquationOfState< IsRelativistic, 3 > > EquationsOfState::PolytropicFluid< IsRelativistic >::promote_to_3d_eos ( ) const

overridevirtual

Create a 3D EOS from the 1D EOS.

Implements EquationsOfState::EquationOfState< IsRelativistic, 1 >.

◆ rest_mass_density_lower_bound()

template<bool IsRelativistic>

double EquationsOfState::PolytropicFluid< IsRelativistic >::rest_mass_density_lower_bound ( ) const

inlineoverridevirtual

The lower bound of the rest mass density that is valid for this EOS.

Implements EquationsOfState::EquationOfState< IsRelativistic, 1 >.

◆ rest_mass_density_upper_bound()

template<bool IsRelativistic>

double EquationsOfState::PolytropicFluid< IsRelativistic >::rest_mass_density_upper_bound ( ) const

overridevirtual

The upper bound of the rest mass density that is valid for this EOS.

Implements EquationsOfState::EquationOfState< IsRelativistic, 1 >.

◆ specific_enthalpy_lower_bound()

template<bool IsRelativistic>

double EquationsOfState::PolytropicFluid< IsRelativistic >::specific_enthalpy_lower_bound ( ) const

inlineoverridevirtual

The lower bound of the specific enthalpy that is valid for this EOS.

Implements EquationsOfState::EquationOfState< IsRelativistic, 1 >.

◆ specific_internal_energy_lower_bound()

template<bool IsRelativistic>

double EquationsOfState::PolytropicFluid< IsRelativistic >::specific_internal_energy_lower_bound ( ) const

inlineoverridevirtual

The lower bound of the specific internal energy that is valid for this EOS.

Reimplemented from EquationsOfState::EquationOfState< IsRelativistic, 1 >.

◆ specific_internal_energy_upper_bound()

template<bool IsRelativistic>

double EquationsOfState::PolytropicFluid< IsRelativistic >::specific_internal_energy_upper_bound ( ) const

overridevirtual

The upper bound of the specific internal energy that is valid for this EOS.

Reimplemented from EquationsOfState::EquationOfState< IsRelativistic, 1 >.

Member Data Documentation

◆ help

template<bool IsRelativistic>

Options::String EquationsOfState::PolytropicFluid< IsRelativistic >::help

staticconstexpr

Initial value:

= {
      "A polytropic fluid equation of state.\n"
      "The pressure is related to the rest mass density by p = K rho ^ Gamma, "
      "where p is the pressure, rho is the rest mass density, K is the "
      "polytropic constant, and Gamma is the polytropic exponent. The "
      "polytropic index N is defined as Gamma = 1 + 1 / N."}

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

src/PointwiseFunctions/Hydro/EquationsOfState/PolytropicFluid.hpp

Classes

Public Types

Public Member Functions

Static Public Attributes

Detailed Description

Member Function Documentation

◆ baryon_mass()

◆ get_clone()

◆ is_equal()

◆ promote_to_2d_eos()

◆ promote_to_3d_eos()

◆ rest_mass_density_lower_bound()

◆ rest_mass_density_upper_bound()

◆ specific_enthalpy_lower_bound()

◆ specific_internal_energy_lower_bound()

◆ specific_internal_energy_upper_bound()

Member Data Documentation

◆ help