A weak formulation of Roeʹs scheme for two-dimensional, unsteady, compressible flows and steady, supersonic flows

A weak formulation of Roeʹs approximate Riemann solver developed recently for one-dimensional, unsteady, compressible flows is extended to two dimensions using operator splitting, and to steady, supersonic flows, and it is shown that the resulting schemes are analogous to other methods for such flows. The technique for steady flows draws on recent work in this area.