In the presence of mean strain or rotation, the anisotropy of turbulence increases due to the rapid pressure strain term. In this paper, we consider the modeling of the rapid pressure strain correlation of turbulence. The anisotropy of turbulence in the presence of mean strain is studied and a new model is formulated by calibrating the model constants at the rapid distortion limit. This model is tested for a range of plane strain and elliptic flows and compared to direct numerical simulation (DNS) results. The present model shows agreement with DNS and improvements over the earlier models like those by Launder et al. (1975, “Progress in the Development of a Reynolds-Stress Turbulence Closure,” J. Fluid Mech., 68(3), pp. 537–566.) and Speziale et al. (1991, “Modelling the Pressure–Strain Correlation of Turbulence: An Invariant Dynamical Systems Approach,” J. Fluid Mech., 227(1), pp. 245–272.) that have been reported to give satisfactory performance for hyperbolic flows but not satisfactory for elliptic flows.
A Representation Theory-Based Model for the Rapid Pressure Strain Correlation of Turbulence
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received August 29, 2017; final manuscript received February 19, 2018; published online March 27, 2018. Assoc. Editor: Daniel Livescu.
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Panda, J. P., and Warrior, H. V. (March 27, 2018). "A Representation Theory-Based Model for the Rapid Pressure Strain Correlation of Turbulence." ASME. J. Fluids Eng. August 2018; 140(8): 081101. https://doi.org/10.1115/1.4039510
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