kOmegaSST 模型

kOmegaSST (k-ω Shear Stress Transport) 模型

耗散方程 $ \frac{\partial}{\partial t}{\rho \omega} = \div \left( \rho D_\omega \nabla \omega \right) + \frac{\rho \gamma G}{\nu} - \frac{2}{3} \rho \gamma \omega \left( \nabla u \right) - \rho \beta \omega^2 - \rho \left(F_1 - 1\right) C\nabla_{k\omega} + S_\omega$

湍动能方程 $ \frac{\partial}{\partial t}{\rho k} = \nabla \left( \rho \nabla_k \nabla k \right) + \rho G - \frac{2}{3} \rho k \left( \nabla u \right) - \rho \beta^{*} \omega k + S_k$

湍流粘度 $\nu_t = a_1 \frac{k}{\max (a_1 \omega_, b_1 F_{23} \mathbf{S})}$

缺省模型系数

$\alpha_{k1}=0.85$

$\alpha_{k2}=1.0$

$\alpha_{\omega1}=0.5$

$\alpha_{\omega2}=0.856$

$\beta_1=0.075$

$\beta_2=0.0828$

$\gamma_1=5/9$

$\gamma_2=0.44$

$\beta^{*}=0.09$

$a_1=0.31$

$b_1=1.0$

$c_1=10.0$