95-0466 A New High Resolution Scheme for Compressible Viscous Flow with Shocks

A new flux splitting and limiting technique which yields one-point stationary shock capturing is presented. The technique is applied to the full NavierStokes and Reynolds Averaged Navier-Stokes equations. Calculations of laminar boundary layers at subsonic and supersonic speeds are presented together with calculations of transonic flows around airfoils. The results exhibit very good agreement with theoretical solutions and existing experimental data. It is found that. the proposed scheme improves the resolution of viscous flows while maintaining excellent one-point shock capturing characteristics. d