Numerical methods in multidimensional shocked flows

Numerical methods are described for the calculation of two-dimensional time-dependent in viscid flows that contain shocks. Methods are employed which do not consider the shock as in interior moving boundary. The conservation equations describing such flows are differenced by the Lax-Wendroff method. These procedures allow the computed shock-wave transition to be given over two to three mesh widths while accurately giving the proper jump conditions across the discontinuity. Several additional methods are tested and compared. Numerical results are given for oblique and Mach reflections in air. Comparison with the exact solution for ordinary reflection is good. The Mach reflection calculation agrees with experimental photographic data obtained from wind-tunnel tests.