a SIMPLE algorithm for compressible flows of non-staggered grids was deduced.With this method
the inviscid flow in a channel with a bump and shock/boundary-layer interactions were computed.If HLAP scheme is adopted for convection term
the hybrid scheme is applied to density interpolation.This method can simulate efficiently both compression waves and expansion waves in supersonic flows.With the help of GAO-YONG turbulence models
it' s possible to simulate satisfactorily the shock/turbulent boundary-layer interaction in a channel.