EquationsOfState::HybridEos< ColdEquationOfState > Class Template Reference

Hybrid equation of state combining a barotropic EOS for cold (zero-temperature) part with a simple thermal part. More...

#include <HybridEos.hpp>

Classes
struct	ColdEos
struct	ThermalAdiabaticIndex

Public Types
using	options = tmpl::list<ColdEos, ThermalAdiabaticIndex>

Public Member Functions
	HybridEos (const HybridEos &)=default
HybridEos &	operator= (const HybridEos &)=default
	HybridEos (HybridEos &&)=default
HybridEos &	operator= (HybridEos &&)=default
	HybridEos (ColdEquationOfState cold_eos, double thermal_adiabatic_index)
	WRAPPED_PUPable_decl_base_template (SINGLE_ARG(EquationOfState< is_relativistic, 2 >), HybridEos)
std::unique_ptr< EquationOfState< is_relativistic, 2 > >	get_clone () const override
std::unique_ptr< EquationOfState< is_relativistic, 3 > >	promote_to_3d_eos () const override
bool	is_barotropic () const override
	Returns true if the EOS is barotropic.
bool	operator== (const HybridEos< ColdEquationOfState > &rhs) const
bool	operator!= (const HybridEos< ColdEquationOfState > &rhs) const
bool	is_equal (const EquationOfState< is_relativistic, 2 > &rhs) const override
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_internal_energy_lower_bound (const double rest_mass_density) const override
	The lower bound of the specific internal energy that is valid for this EOS at the given rest mass density \(\rho\).
double	specific_internal_energy_upper_bound (const double) const override
	The upper bound of the specific internal energy that is valid for this EOS at the given rest mass density \(\rho\).
double	specific_enthalpy_lower_bound () const override
	The lower bound of the specific enthalpy that is valid for this EOS.
double	baryon_mass () const override
	The vacuum baryon mass for this EoS.

Static Public Member Functions
static std::string	name ()

Static Public Attributes
static constexpr size_t	thermodynamic_dim = 2
static constexpr bool	is_relativistic = ColdEquationOfState::is_relativistic
static constexpr Options::String	help

Detailed Description

template<typename ColdEquationOfState>
class EquationsOfState::HybridEos< ColdEquationOfState >

Hybrid equation of state combining a barotropic EOS for cold (zero-temperature) part with a simple thermal part.

The hybrid equation of state:

\[p = p_{cold}(\rho) + \rho (\Gamma_{th}-1) (\epsilon - \epsilon_{cold}(\rho)) \]

where \(p\) is the pressure, \(\rho\) is the rest mass density, \(\epsilon\) is the specific internal energy, \(p_{cold}\) and \(\epsilon_{cold}\) are the pressure and specific internal energy evaluated using the cold EOS, and \(\Gamma_{th}\) is the adiabatic index for the thermal part.

The temperature \(T\) is defined as

\[T = (\Gamma_{th} - 1) (\epsilon - \epsilon_{cold}) \]

This is the amount of internal energy above that of the cold EOS.

For a hybrid EOS with the cold EOS being a polytrope we have

\begin{align}p &= \kappa \rho^\Gamma + \rho T =\kappa\rho^\Gamma+\rho (\Gamma-1)\left(\epsilon-\frac{K\rho^{\Gamma-1}}{\Gamma-1}\right), \\ T&=(\Gamma-1)\left(\epsilon-\frac{K\rho^{\Gamma-1}}{\Gamma-1}\right), \\ \epsilon &= \frac{1}{(\Gamma-1)}\frac{p}{\rho} \end{align}

Member Data Documentation

help

template<typename ColdEquationOfState>

Options::String EquationsOfState::HybridEos< ColdEquationOfState >::help

staticconstexpr

Initial value:

= {
      "A hybrid equation of state combining a cold EOS with a simple thermal "
      "part.  The pressure is related to the rest mass density by "
      " p = p_cold(rho) + rho * (Gamma_th - 1) * (epsilon - "
      "epsilon_cold(rho)), where p is the pressure, rho is the rest mass "
      "density, epsilon is the specific internal energy, p_cold and "
      "epsilon_cold are the pressure and specific internal energy evaluated "
      "using the cold EOS and Gamma_th is the adiabatic index for the thermal "
      "part."}

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

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