A numerical method of computing steady supersonic flow fields by using adaptive streamline grids.The Friedrichs-Lax Scheme is extended to arbitrary quadrilateral grids.during itaration process the streamline positions are computed from streamline equation after the velocity field is obtained.Finally,the high resolution results obtained by the method are shown.

High resolution physical phenomenons for shock wave.Rarefaction waves and their interaction are obtained by first order accurate Friedrichs-Lax finite difference approximating to equation system in consenation law in stremline cooordinate.

In this paper a Lax-Wendroff type scheme with predictor-corrector is presented for solving the hyperbolic equations of fluid flow. The predictor solutions without introducing nonphysical oscillation are obtained by the method of flux vector splitting. The numerical flux of the corrector step is an anti-diffusive term, on which contraints are imposed to decrease the oscillation. Numerical experiments are presented to illustrate the performance of our proposed scheme.