Firstly, from the calculations of the heating rate on a blunt body in hypersonic flow and separation of shock/boundary layer interac tion flow, the capability of upwind TVD scheme for computing viscous flows is st udied. It is found that the computed heating rate and separated region are lower than the experimental data. The problem is the entropy correction formula. Then a new entropy correction formula is proposed, and the agreeable results compared with experiment are obtained. Secondly, using modified scheme, the study of control of separated flow over a smooth surface by body wall temperature is completed. The results show that the change of wall temperature can control the locati on of separation point and separation region effectively.

A new finite element implicit scheme is constructed by using the Hybrid Finite Difference-Finite Element Method in. The implicit scheme overcomes the diffculty of solving large sparse matrix and demanding huge capacity in traditional finite element implicit schemes and at the same time, makes use of the approximate factorization and diagonalization techniques in finite difference method to acquire high calculation efficiency.