Symbolic stability analysis for space-marching of reduced Reynolds-Averaged Navier-Stokes equation systems
Abstract
A symbolic analysis is employed to determine the stability of candidate steady space-marching (PNS) procedures applied to the Reynolds-Averaged Navier-Stokes (RANS) equations and associated reductions. The stability analysis results can determine whether, and under what conditions, a space-marching procedure will result in a well-posed problem statement independent of any specific Computational Fluid Dynamics (CFD) algorithm. As developed herein, guaranteed space-marching stability requires some reduction of the RANS equations. The amount of reduction depends on the specific application and may not always be possible. Space-marching admissibility may be tested with this procedure before actually attempting any CFD solution.
- Publication:
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AIAA, Aerospace Sciences Meeting
- Pub Date:
- January 1990
- Bibcode:
- 1990aiaa.meetU....F
- Keywords:
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- Algorithms;
- Computational Fluid Dynamics;
- Navier-Stokes Equation;
- Spatial Marching;
- Boundary Layer Equations;
- Euler Equations Of Motion;
- Roots Of Equations;
- Fluid Mechanics and Heat Transfer