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 = implementation defined

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 $x=\ln \left(\rho /{\rho }_0\right)$ where $\rho$ is the rest mass density and ${\rho }_0$ is the provided reference density. The adiabatic index $\mathrm{\Gamma }(x)$ is defined such that

$$\begin{array}{}\text{(1)}& \frac{d\ln p}{dx}=\mathrm{\Gamma }(x)=\sum _{n=0}^N{\gamma }_n{x}^n\end{array}$$

for the set of spectral coefficinets ${\gamma }_n$ when $0<x<x_u=\ln \left({\rho }_u/{\rho }_0\right)$, where ${\rho }_u$ is the provided upper density.

For $x<0$, $\mathrm{\Gamma }(x)={\gamma }_0$.

For $x>x_u$, $\mathrm{\Gamma }(x)=\mathrm{\Gamma }(x_u)$

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."}

---

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

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