Table 2.

Values and physical meanings of the coefficient in Equations (2), (3).

Coefficient	Calculation formula	Physical meaning
$G_k$	${\mu }_t\left(\frac{\partial u_i}{\partial x_j}+\frac{\partial u_j}{\partial x_i}\right)\frac{\partial u_i}{\partial x_j}$	Turbulence kinetic energy produced by the average velocity gradient.
$G_b$	$\beta g\frac{{\mu }_t}{{\mathrm{Pr}}_t}\frac{\partial T}{\partial y}$	Turbulence kinetic energy produced by the buoyancy force.
$Y_M$	$2\rho \epsilon M_t^2$	Fluctuation effect on the total dissipation rate in compressible flow
${\sigma }_k$	1	Model constant
${\sigma }_{\epsilon }$	1.2	Model constant
$c_1$	$\max \left(0.43,\frac{\eta }{\eta +5}\right)$	Model constant
$\eta$	$\frac{k}{\epsilon }\sqrt{\left(2S_{ij}\cdot S_{ij}\right)}$	Turbulent time scale divided by time-averaged strain rate of the air
$S_{ij}$	$\frac{1}{2}\left(\frac{\partial u_i}{\partial x_j}+\frac{\partial u_j}{\partial x_i}\right)$	time-averaged strain rate of the air
$c_2$	1.9	Model constant
$c_{1\epsilon }$	1.44	Model constant
$c_{3\epsilon }$	$\tanh \left(V_{\perp }/v\right)$	The buoyancy effect on $\epsilon$