A Test Case for Checking Computational Methods for Gas Flows with Discontinuities

Abstract

For the computation of discontinuities in flow fields which are not fixed beforehand but arise as part of the solution, a large number of methods has been developed. For testing the quality of such methods usually very simple exact solutions are used, e.g. a shock of constant strength running into a gas at rest. Such a test is not rigorous enough because in real problems the functions usually have non-zero derivatives on both sides of the discontinuity. With usual methods it is also difficult to judge the accuracy of numerical solutions near boundaries.