Mie-Gruneisen.h File Reference

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Macros
#define	PIGAMMA

Functions
double	sound_speed (Point point)
	These functions are provided by the Equation Of State.
double	average_pressure (Point point)
double	bulk_compressibility (Point point)
double	internal_energy (Point point, double fc)

Variables
double	gamma1 = 1.4 [0]
double	gamma2 = 1.4 [0]
double	PI1 = 0.
double	PI2 = 0.

Macro Definition Documentation

PIGAMMA

#define PIGAMMA

Value:

    double invgammaavg = fc/(gamma1 - 1.) + (1. - fc)/(gamma2 - 1.), \
    PIGAMMAavg = fc*PI1*gamma1/(gamma1 - 1.) + (1. - fc)*PI2*gamma2/(gamma2 - 1.)

Average pressure

Definition at line 56 of file Mie-Gruneisen.h.

Function Documentation

average_pressure()

double average_pressure

(

Point

point

)

Definition at line 59 of file Mie-Gruneisen.h.

References clamp(), dimension, f, fE1, fE2, frho1, frho2, PIGAMMA, q, sq(), vector::x, and x.

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bulk_compressibility()

double bulk_compressibility

(

Point

point

)

Bulk compressibility of the mixture

i.e. \(\rho c^2\).

Definition at line 75 of file Mie-Gruneisen.h.

References clamp(), f, p, PIGAMMA, and x.

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internal_energy()

double internal_energy	(	Point	point,
		double	fc
	)

Internal energy

Definition at line 85 of file Mie-Gruneisen.h.

References p, PIGAMMA, and x.

sound_speed()

double sound_speed

(

Point

point

)

These functions are provided by the Equation Of State.

Sound speed

In mixture cells, this function returns the maximum between the speeds in both phases.

Definition at line 28 of file Mie-Gruneisen.h.

References clamp(), dimension, f, fE1, fE2, frho1, frho2, gamma1, gamma2, max, p, PI1, PI2, q, sq(), vector::x, and x.

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Variable Documentation

gamma1

double gamma1 = 1.4 [0]

The Mie–Gruneisen Equation of State

This EOS is typically used in combination with the two-phase compressible solver.

The general form of the Mie–Gruneisen EOS can be written

\[ \rho_i e_i = \frac{p_i + \Gamma_i \Pi_i}{\Gamma_i - 1} \]

with \(\rho_i\), \(e_i\) and \(p_i\) the densities, internal energies and pressures of each phase.

These are the coefficients of the Mie-Gruneisen EOS for each phase.

Definition at line 20 of file Mie-Gruneisen.h.

Referenced by sound_speed().

gamma2

double gamma2 = 1.4 [0]

Definition at line 20 of file Mie-Gruneisen.h.

Referenced by sound_speed().

PI1

double PI1 = 0.

Definition at line 20 of file Mie-Gruneisen.h.

Referenced by sound_speed().

PI2

double PI2 = 0.

Definition at line 20 of file Mie-Gruneisen.h.

Referenced by sound_speed().