ryujin::EquationOfStateLibrary::Hayes Class Reference

#include <source/euler_aeos/equation_of_state_hayes.h>

Inheritance diagram for ryujin::EquationOfStateLibrary::Hayes:

Collaboration diagram for ryujin::EquationOfStateLibrary::Hayes:

Public Member Functions
	Hayes (const std::string &subsection)
double	pressure (double rho, double e) const final
double	specific_internal_energy (double rho, double p) const final
double	temperature (double rho, double e) const final
double	cold_curve_bound (double rho) const final
double	specific_entropy (double rho, double e) const final
double	speed_of_sound (double rho, double e) const final
virtual double	pressure (double rho, double e) const=0
virtual double	specific_internal_energy (double rho, double p) const=0
virtual double	speed_of_sound (double, double) const
virtual double	temperature (double, double) const
Public Member Functions inherited from ryujin::EquationOfStateLibrary::EquationOfState
	EquationOfState (const std::string &name, const std::string &subsection)

Additional Inherited Members
Protected Attributes inherited from ryujin::EquationOfStateLibrary::EquationOfState
double	covolume_constant_
double	interpolation_pinfty_
double	interpolation_q_

Detailed Description

The Hayes equation of state

Definition at line 15 of file equation_of_state_hayes.h.

Constructor & Destructor Documentation

Hayes()

ryujin::EquationOfStateLibrary::Hayes::Hayes ( const std::string &  subsection )

inline

Definition at line 23 of file equation_of_state_hayes.h.

Member Function Documentation

pressure() [1/2]

double ryujin::EquationOfStateLibrary::Hayes::pressure ( double  rho, double  e  ) const

inlinefinalvirtual

Let

\begin{align} f_c(v) = k0 * v0 / (N * (N - 1)) * ((v / v0)^{1 - N} - (N - 1)(1 - v / v0) - 1). \end{align}

and let

\begin{align} T - T0 = (e - e0 - p0 (v0 - v) - f_c(v)) / cv + gamma_0 * T0 (1 - v / v0). \end{align}

The pressure is given by

\begin{align} p = k0 / N * (v / v0)^{-N} + cv * gamma0 / v0 * (T - T0) - k0 / N + p0 \end{align}

Implements ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 82 of file equation_of_state_hayes.h.

specific_internal_energy() [1/2]

double ryujin::EquationOfStateLibrary::Hayes::specific_internal_energy ( double  rho, double  p  ) const

inlinefinalvirtual

Let

\begin{align} f_c(v) = k0 * v0 / (N * (N - 1)) * ((v / v0)^{1 - N} - (N - 1)(1 - v / v0) - 1). \end{align}

The specific internal energy is given by

\begin{align} e = v0 / gamma_0 * (p - p0 - k0 / N (v / v0)^{-N} + k0 / N) + (p0 v0 - gamma_0 T0 cv)(1 - v / v0) + f_c(v) + e_0 \end{align}

Implements ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 107 of file equation_of_state_hayes.h.

temperature() [1/2]

double ryujin::EquationOfStateLibrary::Hayes::temperature ( double  rho, double  e  ) const

inlinefinalvirtual

Let

\begin{align} f_c(v) = k0 * v0 / (N * (N - 1)) * ((v / v0)^{1 - N} - (N - 1)(1 - v / v0) - 1). \end{align}

The temperature is given by

\begin{align} T = (e - e0 - p0 (v0 - v) - f_c(v)) / cv + gamma_0 * T0 / v0 (v0 - v) + T0. \end{align}

Reimplemented from ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 132 of file equation_of_state_hayes.h.

cold_curve_bound()

double ryujin::EquationOfStateLibrary::Hayes::cold_curve_bound ( double  rho ) const

inlinefinalvirtual

Let

\begin{align} f_c(v) = k0 * v0 / (N * (N - 1)) * ((v / v0)^{1 - N} - (N - 1)(1 - v / v0) - 1). \end{align}

The cold curve is given by

\begin{align} e_cold = p0 (v0 - v) + f_c(v) + e0 \end{align}

Reimplemented from ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 152 of file equation_of_state_hayes.h.

specific_entropy()

double ryujin::EquationOfStateLibrary::Hayes::specific_entropy ( double  rho, double  e  ) const

inlinefinalvirtual

Let

\begin{align} T = (e - e0 - p0 (v0 - v) - f_c(v)) / cv + gamma_0 * T0 / v0 (v0 - v) + T_0. \end{align}

The specific entropy is given by

\begin{align} s = cv * \ln(T / T0) + cv * gm0 / v0 * (v - v0) + s0 \end{align}

Reimplemented from ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 169 of file equation_of_state_hayes.h.

speed_of_sound() [1/2]

double ryujin::EquationOfStateLibrary::Hayes::speed_of_sound ( double  rho, double  e  ) const

inlinefinalvirtual

Let

\begin{align} f_c(v) = k0 * v0 / (N * (N - 1)) * ((v / v0)^{1 - N} - (N - 1)(1 - v / v0) - 1). \end{align}

and let

\begin{align} T = (e - e0 - p0 (v0 - v) - f_c(v)) / cv + gamma_0 * T0 / v0 (v0 - v) + T_0. \end{align}

The speed of sound is given by

\begin{align} c^2 = v0 k0 (v / v0)^{1 - N} + cv (gamma0 / v0)^2 v^2 T \end{align}

Reimplemented from ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 196 of file equation_of_state_hayes.h.

pressure() [2/2]

virtual double ryujin::EquationOfStateLibrary::EquationOfState::pressure ( double  rho, double  e  ) const

virtual

Return the pressure given density rho and specific internal energy e.

Note

This function is implemented for every equation of state.

Implements ryujin::EquationOfStateLibrary::EquationOfState.

specific_internal_energy() [2/2]

virtual double ryujin::EquationOfStateLibrary::EquationOfState::specific_internal_energy ( double  rho, double  p  ) const

virtual

Return the specific internal energy e for a given density rho and pressure p.

Note

This function is implemented for every equation of state.

Implements ryujin::EquationOfStateLibrary::EquationOfState.

speed_of_sound() [2/2]

virtual double ryujin::EquationOfStateLibrary::EquationOfState::speed_of_sound ( double  , double    ) const

inlinevirtual

Return the sound speed c for a given density rho and specific internal energy e.

Note

This function might not be implemented for a given equation of state.

Reimplemented from ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 123 of file equation_of_state.h.

temperature() [2/2]

virtual double ryujin::EquationOfStateLibrary::EquationOfState::temperature ( double  , double    ) const

inlinevirtual

Return the temperature T for a given density rho and specific internal energy e.

Note

This function might not be implemented for a given equation of state.

Reimplemented from ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 109 of file equation_of_state.h.

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

• source/euler_aeos/equation_of_state_hayes.h