Abstract
A highly-efficient parabolized Navier-Stokes (PNS) algorithm has been developed to compute supersonic flows with embedded subsonic/separated regions. The algorithm automatically detects and measures the extent of embedded regions that produce upstream effects. In these regions, the PNS equations are globally iterated to duplicate the results that would be obtained with the complete Navier-Stokes equations. The scheme has been successfully incorporated into NASA's upwind PNS (UPS) code. The modified code has been validated by applying it to several two-dimensional test cases including supersonic flows over ramps and a shock wave impinging on a flat plate. All of these test cases include embedded regions that produce significant upstream effects. The present numerical results are in excellent agreement with previous Navier-Stokes computations and experimental data.
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