Journal
FLOW TURBULENCE AND COMBUSTION
Volume 85, Issue 3-4, Pages 593-619Publisher
SPRINGER
DOI: 10.1007/s10494-010-9290-3
Keywords
Turbulence modeling; Second moment closure; Rapid pressure strain correlation
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Funding
- NASA
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In turbulence closure modeling, it is widely accepted that the rapid pressure-strain correlation (RPSC) model be consistent with the rapid distortion theory (RDT). It is desirable to achieve this consistency with a closure model that is computationally tractable and satisfies the requisite mathematical constraints of realizability and linearity in the appropriate variables. In this investigation, starting from a detailed modal analysis of two-dimensional mean flows, we identify important flow features to be incorporated into the model. However, the dynamical system analysis shows that the suggested physics cannot be embodied in a model with all desired computational and mathematical attributes. To resolve this conflict, we propose a slight compromise in the physical requirement and ease one of the linearity constraints leading to a best possible tractable model. Overall, the present work provides important insight into RPSC closure modeling challenges-arising from the interplay among physical fidelity, computational viability and mathematical constraints-and proposes avenues for future improvement.
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