Abstract: A matching relation on viscous/inviscid interactive flows is deduced,based on the perturbation theory,and coupled with boundary layer equations to form an interactive mode for the equations.A domain decomposition technique can then be constructed,utilizing the transpiration theory,by imposing an iterative proceduce through alternatively solving the interactive mode and the full potential equation.The method has proved to be effective for computing high Reynolds numbers flows with subsonic and transonic free stream Mach numbers.The numerical results presented in this paper demonstrate significant improvement of computational efficiency in comparison with the traditional semi inverse procedure.

Key words: viscous flow, inviscid flow, interference, matching, high Reynolds number