An improved upwind finite volume relaxation method for high speed viscous flows (Q1184609)

An improved upwind relaxation algorithm for the Navier-Stokes equations is presented, and results are given from the application of the methods to two test problems, including (1) a shock/boundary layer interaction on a flat plate \((M_ \infty=2.0)\) and (2) a high-speed inlet \((M_ \infty=5.0)\). The technique is restricted to high-speed (i.e., supersonic/hypersonic) viscous flows. The new algorithm depends on a partitioning of the global domain into regions or subdomains, where a relatively thin ``elliptic'' region is identified near each solid wall boundary, and the remainder of the flowfield is identified to be a single larger ``hyperbolic'' (i.e., hyperbolic/parabolic in the streamwise direction) region.