TEST CASES FOR UNSTEADY ONE-DIMENSIONAL FLOW WITH VARIABLE CROSS-SECTION

The unsteady, inviscid now generated by the passing of a shock through a nozzle can be computed exactly in the limiting case of a nozzle of zero length connecting two infinitely long pipes. Depending on the val ues of two parameters (strength of shock and cross-sectional ratio) th is problem displays eight different types of smooth flow, and four fur ther types are generated by separated now through a sudden enlargement . It is shown a) how to compute these variants and b) how to use them for the testing of numerical algorithms for unsteady pipe flow with va riable cross-section.