COMPARISON OF HIGH-RESOLUTION SCHEMES APPLIED TO FLOWS CONTAINING STRONG SHOCKS

A comparison of three high-resolution schemes is carried out for a rep resentative two-dimensional problem. Two explicit schemes, namely, the MacCormack scheme and the Strang type operator split scheme, and one implicit scheme, namely, the Beam and Warming scheme, are compared. Ha rten's modified flux approach is adopted to achieve the high resolutio n and total variation diminishing property. It is found that a combina tion of explicit (operator split) and implicit schemes performs best i n terms of quality of solution, convergence, and CPU time. Implicit sc hemes take marginally more time but perform just as well as the combin ation scheme. Between the explicit schemes, the operator split scheme is better.