Comparison of Various Numerical Techniques in Gas Dynamics

Abstract

In search of reliable numerical methods for gas dynamic flow problems, we apply the MacCormack method algorithm and two new algorithms to two representative problems in gas dynamics. The MacCormack method, which is most commonly employed in aerodynaics, proves to be good for the time developing problem. The explicit Satofuka method, which is claimed to be stable even if the CFL condition is violated, turns out to be rather inaccurate for a problem with a CFL number larger than unity. We find that the New MacCormack implicit method is suitable for the time steady problem.