ryujin::EquationOfStateLibrary::VanDerWaals Class Reference

#include <source/euler_aeos/equation_of_state_van_der_waals.h>

Inheritance diagram for ryujin::EquationOfStateLibrary::VanDerWaals:

Collaboration diagram for ryujin::EquationOfStateLibrary::VanDerWaals:

Public Member Functions
	VanDerWaals (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 Van der Waals equation of state

Definition at line 21 of file equation_of_state_van_der_waals.h.

Constructor & Destructor Documentation

VanDerWaals()

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

inline

Definition at line 29 of file equation_of_state_van_der_waals.h.

References ryujin::EquationOfStateLibrary::EquationOfState::covolume_constant_.

Member Function Documentation

pressure() [1/2]

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

inlinefinalvirtual

The pressure is given by

\begin{align} p = (\gamma - 1) * (\rho * e + a \rho^2)/(1 - b \rho) - a \rho^2 \end{align}

Implements ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 73 of file equation_of_state_van_der_waals.h.

specific_internal_energy() [1/2]

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

inlinefinalvirtual

The specific internal energy is given by

\begin{align} e = (p + a \rho^2) * (1 - b \rho) / (\rho (\gamma -1)) - a \rho \end{align}

Implements ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 87 of file equation_of_state_van_der_waals.h.

temperature() [1/2]

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

inlinefinalvirtual

The temperature is given by

\begin{align} T = (\gamma - 1) / R (e + a \rho) \end{align}

Reimplemented from ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 102 of file equation_of_state_van_der_waals.h.

cold_curve_bound()

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

inlinefinalvirtual

The cold curve bound is given by

\begin{align} e_cold = - a \rho \end{align}

Reimplemented from ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 113 of file equation_of_state_van_der_waals.h.

specific_entropy()

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

inlinefinalvirtual

The specific_entropy is given by

\begin{align} s = cv \ln( (e + a \rho) / cv) + R \ln( 1 / \rho - b) \end{align}

Reimplemented from ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 124 of file equation_of_state_van_der_waals.h.

speed_of_sound() [1/2]

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

inlinefinalvirtual

The speed of sound is given by

\begin{align} c^2 = \frac{\gamma (\gamma -1) (e + a \rho)}{(1 - b\rho)^2} - 2a\rho. \end{align}

Reimplemented from ryujin::EquationOfStateLibrary::EquationOfState.

Definition at line 138 of file equation_of_state_van_der_waals.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_van_der_waals.h