ryujin::EquationsOfState::JonesWilkinsLee Class Reference

#include <include/ryujin/euler_aeos/equation_of_state_jones_wilkins_lee.h>

Inheritance diagram for ryujin::EquationsOfState::JonesWilkinsLee:

Collaboration diagram for ryujin::EquationsOfState::JonesWilkinsLee:

Public Member Functions
	JonesWilkinsLee (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::EquationOfState
	EquationOfState (const std::string &name, const std::string &subsection)

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

Detailed Description

The Jones-Wilkins-Lee equation of state. See (16a) in: "JWL Equation of State" by Ralph Menikoff (LA-UR-15-29536). We are assuming that the reference temperature T_r is chosen such that E_r = 0. Default parameters taken from Table 1 in reference.

Definition at line 23 of file equation_of_state_jones_wilkins_lee.h.

Constructor & Destructor Documentation

JonesWilkinsLee()

ryujin::EquationsOfState::JonesWilkinsLee::JonesWilkinsLee ( const std::string &  subsection )

inline

Definition at line 31 of file equation_of_state_jones_wilkins_lee.h.

Member Function Documentation

pressure() [1/2]

double ryujin::EquationsOfState::JonesWilkinsLee::pressure ( double  rho, double  e  ) const

inlinefinalvirtual

The pressure is given by

\begin{align} p = A(1 - \omega / R_1 \rho / \rho_0) e^{(-R_1 \rho_0 / \rho)} + B(1 - \omega / R_2 \rho/ \rho_0) e^{(-R_2 \rho_0 / \rho)} + \omega \rho (e + q_0) \end{align}

Implements ryujin::EquationOfState.

Definition at line 74 of file equation_of_state_jones_wilkins_lee.h.

specific_internal_energy() [1/2]

double ryujin::EquationsOfState::JonesWilkinsLee::specific_internal_energy ( double  rho, double  p  ) const

inlinefinalvirtual

The specific internal energy is given by

\begin{align} \omega \rho (e + q0) = p - A(1 - \omega / R_1 \rho / \rho_0) e^{(-R_1 \rho_0 / \rho)} - B(1 - \omega / R_2 \rho/ \rho_0) e^{(-R_2 \rho_0 / \rho)} \end{align}

Implements ryujin::EquationOfState.

Definition at line 95 of file equation_of_state_jones_wilkins_lee.h.

temperature() [1/2]

double ryujin::EquationsOfState::JonesWilkinsLee::temperature ( double  rho, double  e  ) const

inlinefinalvirtual

The temperature is given by

\begin{align} c_v T = e + q_0 - 1 / \rho_0 * (A / R_1 * e^{(-R_1 \rho_0 / \rho)} + B / R_2 * e^{(-R_2 \rho_0 / \rho)}) \end{align}

Reimplemented from ryujin::EquationOfState.

Definition at line 114 of file equation_of_state_jones_wilkins_lee.h.

Referenced by specific_entropy().

cold_curve_bound()

double ryujin::EquationsOfState::JonesWilkinsLee::cold_curve_bound ( double  rho ) const

inlinefinalvirtual

The cold curve is given by

\begin{align} e_cold = v_0 * (A / R1 * exp(-R1 \rho_0 / \rho) + B / R2 * exp(-R2 \rho_0 / \rho) - q0 \end{align}

Reimplemented from ryujin::EquationOfState.

Definition at line 132 of file equation_of_state_jones_wilkins_lee.h.

specific_entropy()

double ryujin::EquationsOfState::JonesWilkinsLee::specific_entropy ( double  rho, double  e  ) const

inlinefinalvirtual

The specific entropy is given by

\begin{align} s = cv * (\ln(T / T_0) + \omega \ln(rho_0 / \rho)) + s_0; \end{align}

Reimplemented from ryujin::EquationOfState.

Definition at line 150 of file equation_of_state_jones_wilkins_lee.h.

References temperature().

speed_of_sound() [1/2]

double ryujin::EquationsOfState::JonesWilkinsLee::speed_of_sound ( double  rho, double  e  ) const

inlinefinalvirtual

Let \(v_r = \rho_0 / \rho\). The speed of sound is given by

\begin{align} c^2 = (A / \rho_0) * (R1 v_r^2 - \omega(\omega + 1) / R1) exp(-R1 * v_r) + (B / \rho_0) * (R2 v_r^2 - \omega(\omega + 1) / R2) exp(-R2 * v_r) + \omega(\omega + 1)(e + q0) \end{align}

Reimplemented from ryujin::EquationOfState.

Definition at line 173 of file equation_of_state_jones_wilkins_lee.h.

pressure() [2/2]

virtual double ryujin::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::EquationOfState.

specific_internal_energy() [2/2]

virtual double ryujin::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::EquationOfState.

speed_of_sound() [2/2]

virtual double ryujin::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::EquationOfState.

Definition at line 120 of file equation_of_state.h.

temperature() [2/2]

virtual double ryujin::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::EquationOfState.

Definition at line 106 of file equation_of_state.h.

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

• include/ryujin/euler_aeos/equation_of_state_jones_wilkins_lee.h