Navier-Stokes equations are solved numerically to simulate vortex motion in separated flows using detached-eddy simulation (DES) method in Saplart-Allmaras one equation model. A finite volume scheme is employed. Spatial discretization is performed with Jameson central scheme. Time integration is implemented by a dual time-stepping approach. Vortex structures of flow over a circular cylinder or a stall airfoil simulated agree well with physical analyses and experimental data.

A numerical method applicable to unstructured mesh is proposed to compute 3D hypersonic ionized and radiating flowfields in thermo-chemical nonequilibrium. The flowfield is described with multi-specy N-S equations. The chemical model includes 11 species(O₂, N₂, O,N, NO, NO⁺, N⁺, O+, N₂⁺, O₂⁺, e^-) and 20 reactions. For thermal nonequilibrium effect, a two temperature model is considered. Radiation transfer equation (RTE) is solved with finite volume method. Numerical result on MUSES-C is shown and compared with referenced data. Influence of radiation on flowfield is discussed.