Accurate, stable, explicit, parabolized navier-stokes solver for high speed flows
A stable, accurate, and efficient implementation of MacCormack's explicit algorithm for the Parabolized Navier-Stokes equations is demonstrated. The familiar problem of decoding the conservative axial flux vector is solved, resulting in accurate, smooth dependent variable profiles through the viscous-layer sonic line. Source terms due to transformation of the parabolized governing equations into the computational plane and the equations into the computational plane and the resulting metric differencing have been identified and eliminated through inclusion of appropriate geometric conservation law terms. Test cases computed include two- and three-dimensional supersonic and hypersonic flow at laminar and turbulent Reynolds numbers. The computed results demonstrate very good agreement with experiment and with solutions of the full Navier-Stokes equations. Computational times required for the MacCormack explicit PNS code are approximately equal to those of the existing implicit PNS solvers. The explicit PNS code proved to be sufficiently robust to allow starting the computation from free-stream conditions. In addition, little or no damping is required once the initial starting transients have been reduced.
- Research Organization:
- North Carolina State Univ., Raleigh (USA)
- OSTI ID:
- 6909787
- Report Number(s):
- AD-A-193777/0/XAB
- Resource Relation:
- Other Information: Pub. in Proceedings of AIAA/ASME Fluid Mechanics, Plasma Dynamics and Lasers Conference (4th), 1-12(May 1986)
- Country of Publication:
- United States
- Language:
- English
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