Quadratic Pressure-Strain Model

The quadratic pressure-strain model of Sarkar, Speziale and Gatski [345] uses a higher-order truncation of the expansion for the pressure-strain term:

where:

• $\rho$ is the density.
• $k$ is the turbulent kinetic energy given by Eqn. (1313).
• $\mathbf{\text{P}}$ is given by Eqn. (1315).
• $\mathbf{\text{G}}$ is given by Eqn. (1316).
• $\mathbf{\text{A}}$ is given by Eqn. (1330).
• $\mathbf{\text{S}}$ is given by Eqn. (1130).
• $\mathbf{\text{W}}$ is given by Eqn. (1132) .
• $I$ is the identity tensor.
• $C_{s1}$, $C_{r4}$, $C_{s2}$, $C_{r3}$, $C_{r3}^{*}$, $C_{r1}$ ,and $C_{r2}$ are Model Coefficients.

Model Coefficients

$C_{s1}$	$C_{s2}$
1.7	1.05

$C_{r1}$	$C_{r2}$	$C_{r3}$	$C_{r3}^{*}$	$C_{r4}$
0.625	0.2	0.8	0.65	0.9