Abstract
Parabolized Navier-Stokes (PNS) techniques have been receiving increasing attention as an effective method for treating two and three dimensional high-speed gas flows. Since the method involves marching in a “time like” coordinate the problem size on each marching section is of low dimension and hence large-scale nonlinear flows can be treated in practical studies. However, there are several unresolved computational issues related to the accuracy and stability of the solution marching scheme. In particular, the solution procedure has been observed to be very sensitive to the particular flow conditions and associated “evolving” shock profile. In this study we investigate the determination and the stability of the shock shape as well as related issues concerning the flow solution stability. The numerical method is based on a finite difference approximation of the PNS equations with mapping to a computational domain.
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