“…A revised view of shock wave boundary conditions for deforming, moving shocks may be formed from the work of M. Bonnet (1988), of LAe (1994 and the shock dynamic differential geometry research of Emanuel (1976) Useful numerical techniques and results that will be discussed later includes the influential suggestions from work of Zan,, u Kopriva, and Hussaini (1983) and of Zang, Hussaini, and Bushnell (1984).…”