Solution to Euler equations by high-resolution upwind compact scheme based on flux splitting

摘要

A high-resolution upwind compact method based on flux splitting is developed for solving the compressive Euler equations. The convective flux terms are discretized by using the modified advection upstream splitting method (AUSM). The developed scheme is used to compute the one-dimensional Burgers equation and four different example problems of supersonic compressible flows, respectively. The results show that the high-resolution upwind compact scheme based on modified AUSM+ flux splitting can capture shock wave and other discontinuities, obtain higher resolution and restrain numerical oscillation.