Towards understanding of near wall behavior in two-equation models for supersonic flows

The standard two-equation models over-predict the turbulent viscosity and turbulent kinetic energy in the near wall region for supersonic flows. There are several approaches to tune the model behavior to agree with experimental values. In the present approach we modify C$_{\mu}$ along the lines of Durbin stagnation point correction. The influence of the turbulent Prandtl numbers - $\sigma _{k}$, $\sigma _{\varepsilon}$, $\sigma _{\omega}$-- are also examined.