NASG.h File Reference

Go to the source code of this file.

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)
double	average_temperature (Point point, double p)
	These functions are provided by the Equation Of State.
double	thermal_expansion (Point point)

Variables
double	gamma1 = 1.4 [0]
double	gamma2 = 1.4 [0]
double	PI1 = 0.
double	PI2 = 0.
double	b1 = 0.
double	b2 = 0.
double	q1 = 0.
double	q2 = 0.
double	cv1 = 0.
double	cv2 = 0.

Macro Definition Documentation

PIGAMMA

#define PIGAMMA

Value:

    double invgammaavg = (fc - frho1[]*b1)/(gamma1 - 1.) +     \
    (1. - fc - frho2[]*b2)/(gamma2 - 1.),           \
    PIGAMMAavg = (fc - frho1[]*b1)*PI1*gamma1/(gamma1 - 1.) + frho1[]*q1 + \
    (1. - fc - frho2[]*b2)*PI2*gamma2/(gamma2 - 1.) + frho2[]*q2

Average pressure

Definition at line 57 of file NASG.h.

Function Documentation

average_pressure()

double average_pressure

(

Point

point

)

Definition at line 62 of file NASG.h.

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

Referenced by event_properties().

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average_temperature()

double average_temperature	(	Point	point,
		double	p
	)

These functions are provided by the Equation Of State.

Average temperature

Definition at line 99 of file NASG.h.

References b1, b2, clamp(), cp1, cp2, cv1, cv2, f, frho1, frho2, p, PI1, PI2, and x.

Referenced by event_acceleration().

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bulk_compressibility()

double bulk_compressibility

(

Point

point

)

Bulk compressibility of the mixture

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

Definition at line 78 of file NASG.h.

References b1, b2, clamp(), f, frho1, frho2, gamma1, gamma2, p, PI1, PI2, and x.

Referenced by event_properties().

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internal_energy()

double internal_energy	(	Point	point,
		double	fc
	)

Internal energy

Definition at line 90 of file NASG.h.

References p, PIGAMMA, and x.

Referenced by fE_refine().

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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 29 of file NASG.h.

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

Referenced by event_stability().

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thermal_expansion()

double thermal_expansion

(

Point

point

)

Thermal expansion coefficient

Definition at line 111 of file NASG.h.

References b2, clamp(), cv2, f, gamma2, PI2, ps, Ts, and x.

Referenced by event_acceleration().

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Variable Documentation

b1

double b1 = 0.

Definition at line 19 of file NASG.h.

Referenced by average_temperature(), bubbles_are_close(), bulk_compressibility(), event_acceleration(), no_coalescence(), PointTriangleDistance(), and union_bound().

b2

double b2 = 0.

Definition at line 19 of file NASG.h.

Referenced by average_temperature(), bubbles_are_close(), bulk_compressibility(), no_coalescence(), thermal_expansion(), and union_bound().

cv1

double cv1 = 0.

Definition at line 21 of file NASG.h.

Referenced by average_temperature().

cv2

double cv2 = 0.

Definition at line 21 of file NASG.h.

Referenced by average_temperature(), and thermal_expansion().

gamma1

double gamma1 = 1.4 [0]

The Noble-Abel Stiffened-Gas (NASG) Equation Of State

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

The general form of the NASG EOS (Le Métayer & Saurel, 2016) is

\[ \rho_i e_i = \frac{p_i + \Gamma_i \Pi_i}{\Gamma_i - 1}(1 - \rho_i b_i) + \rho_i q_i \]

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

These are the coefficients of the NASG EOS for each phase.

Definition at line 18 of file NASG.h.

Referenced by bulk_compressibility(), and sound_speed().

gamma2

double gamma2 = 1.4 [0]

Definition at line 18 of file NASG.h.

Referenced by bulk_compressibility(), sound_speed(), and thermal_expansion().

PI1

double PI1 = 0.

Definition at line 18 of file NASG.h.

Referenced by average_temperature(), bulk_compressibility(), and sound_speed().

PI2

double PI2 = 0.

Definition at line 18 of file NASG.h.

Referenced by average_temperature(), bulk_compressibility(), sound_speed(), and thermal_expansion().

q1

scalar q1 = 0.

Definition at line 20 of file NASG.h.

Referenced by event_vof().

q2

scalar q2 = 0.

Definition at line 20 of file NASG.h.

Referenced by event_vof().