Development of a Three-Dimensional Upwind Parabolized Navier-Stokes Code
An algorithm for the integration of the parabolized Navier-Stokes (PNS) equations that is based on Roe’s flux-difference splitting approach in both crossflow directions has been developed. The algorithm was developed using finite-volumes to ensure accurate conservation of numerical fluxes and modifications have been applied to make the scheme implicit and second-order accurate in the crossflow directions. The resulting PNS code has been applied to hypersonic flow past two simple test geometries and results are presented here. The computed flow-fields for a 10 deg half-angle cone at a wide range of incidence angles are compared with experimental surface pressure and heat transfer as well as lee side pitot pressure profiles. Generally good agreement is observed though high grid density is needed to capture the lee side pitot pressure behavior at moderate to high angles of attack. Computed results are also presented for turbulent flow past a generic elliptic cone-based geometry.
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