Comparison of high-resolution schemes applied to flows containing strong shocks

A comparison of three high-resolution schemes is carried out for a representative 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. Hart en’s modified flux approach is adopted to achieve the high resolution and total variation diminishing property. It is found that a combination of explicit (operator split) and implicit schemes performs best in terms of quality of solution, convergence, and CPU time. Implicit schemes take marginally more time but perform just as well as the combination scheme. Between the explicit schemes, the operator split scheme is better. © 1995 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.