Steady, Inviscid Shock Waves at Continuously Curved, Convex Surfaces

摘要

An accurate and efficient numerical method for the steady, two dimensional Eulerequations is applied to study steady shock waves perpendicular to smooth, convex surfaces. The main subject of study is the flow near both ends of the shock waves. Some doubts are formulated about the correctness of a known analytical model of the inviscid shock foot flow. The numerical results presented do not show that this analytical model is incorrect. For the inviscid shock tip flow, two existing analytical solutions are discussed. The numerical results presented agree with one of these. Good numerical accuracy is achieved through a solution adaptive, higher order accurate finite volume discretization. Good computational efficiency is obtained by a multigrid acceleration technique.