EquationsOfState::Spectral Class Reference

A spectral equation of state. More...

#include <Spectral.hpp>

Classes
struct	Coefficients
struct	ReferenceDensity
struct	ReferencePressure
struct	UpperDensity

Public Types
using	options = tmpl::list< ReferenceDensity, ReferencePressure, Coefficients, UpperDensity >

Public Member Functions
	Spectral (const Spectral &)=default
Spectral &	operator= (const Spectral &)=default
	Spectral (Spectral &&)=default
Spectral &	operator= (Spectral &&)=default
	Spectral (double reference_density, double reference_pressure, std::vector< double > coefficients, double upper_density)
std::unique_ptr< EquationOfState< true, 1 > >	get_clone () const override
std::unique_ptr< EquationOfState< true, 3 > >	promote_to_3d_eos () const override
std::unique_ptr< EquationOfState< true, 2 > >	promote_to_2d_eos () const override
bool	operator== (const Spectral &rhs) const
bool	operator!= (const Spectral &rhs) const
bool	is_equal (const EquationOfState< true, 1 > &rhs) const override
	WRAPPED_PUPable_decl_base_template (SINGLE_ARG(EquationOfState< true, 1 >), Spectral)
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.

Static Public Attributes
static constexpr size_t	thermodynamic_dim = 1
static constexpr bool	is_relativistic = true
static constexpr Options::String	help

Detailed Description

A spectral equation of state.

This equation of state is determined as a function of \(x = \ln(\rho/\rho_0)\) where \(\rho\) is the rest mass density and \(\rho_0\) is the provided reference density. The adiabatic index \(\Gamma(x)\) is defined such that

\begin{equation} \frac{d \ln p}{dx} = \Gamma(x) = \sum_{n=0}^N \gamma_n x^n \end{equation}

for the set of spectral coefficinets \(\gamma_n\) when \(0 < x < x_u = \ln(\rho_u/\rho_0)\), where \(\rho_u\) is the provided upper density.

For \( x < 0 \), \( \Gamma(x) = \gamma_0 \).

For \( x > x_u \), \( \Gamma(x) = \Gamma(x_u) \)

Member Data Documentation

help

constexpr Options::String EquationsOfState::Spectral::help

staticconstexpr

Initial value:

= {
      "A spectral equation of state.  Defining x = log(rho/rho_0), Gamma(x) = "
      "Sum_i gamma_i x^i, then the pressure is determined from d(log P)/dx = "
      "Gamma(x) for x > 0.  For x < 0 the EOS is a polytrope with "
      "Gamma(x)=Gamma(0).  For x > x_u = log(rho_u/rho_0), Gamma(x) = "
      "Gamma(x_u).\n"
      "To get smooth equations of state, it is recommended that the second "
      "and third supplied coefficient should be 0. It is up to the user to "
      "choose coefficients that are physically reasonable, e.g. that "
      "satisfy causality."}

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

• src/PointwiseFunctions/Hydro/EquationsOfState/Spectral.hpp