Iteration strategy for upwind/relaxation solutions to the thin-layerNavier-Stokes equations

Abstract

AN efficient iteration strategy for supersonic flow solutions to the and thin-layer Navier-Stokes equations is described. Modifications are made to a previously developed upwind/relaxation algorithm to suppress the upstream influence within the subsonic part of the boundary layer through restriction of the streamwise pressure gradient. A parabolized solution then is efficiently obtained by marching downstream and locally iterating each crossflow plane to convergence. The solution, fully conservative and second-order-accurate, provides an excellent solution for problems without strong adverse streamwise pressure gradients. If necessary, the thin-layer solution may be recovered by further iteration using the original upwind/relaxation algorithm.