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Arbitrary Steady-State Solutions with the K-epsilon ModelWidely-used forms of the K-epsilon turbulence model are shown to yield arbitrary steady-state converged solutions that are highly dependent on numerical considerations such as initial conditions and solution procedure. These solutions contain pseudo-laminar regions of varying size. By applying a nullcline analysis to the equation set, it is possible to clearly demonstrate the reasons for the anomalous behavior. In summary, the degenerate solution acts as a stable fixed point under certain conditions, causing the numerical method to converge there. The analysis also suggests a methodology for preventing the anomalous behavior in steady-state computations.
Document ID
20080014294
Acquisition Source
Langley Research Center
Document Type
Preprint (Draft being sent to journal)
Authors
Rumsey, Christopher L. (NASA Langley Research Center Hampton, VA, United States)
Pettersson Reif, B. A. (Norwegian Defence Research Establishment Kjeller, Norway)
Gatski, Thomas B. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 24, 2013
Publication Date
January 1, 2006
Publication Information
Publication: AIAA Journal
Publisher: American Inst. of Aeronautics and Astronautics
Volume: 44
Issue: 7
Subject Category
Numerical Analysis
Funding Number(s)
OTHER: 23-065-30-14
Distribution Limits
Public
Copyright
Public Use Permitted.

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