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Renormalization group formulation of large-eddy simulations

A. Yakhot1, 2, S. A. Orszag1, V. Yakhot1 and M. Israeli1, 3

(1) Applied and Computational Mathematics, Princeton University, 08544 Princeton, New Jersey
(2) Present address: Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beersheva, Israel
(3) Present address: Computer Science Department, Technion-Israel Institute of Technology, 32000 Haifa, Israel

Received: 7 December 1988  

Conclusions  In this work we hae shown that the subgrid model following from the renormalization group theory of turbulence is capable of describing turbulent channel flow. Although the resolution of all simulations was relatively modest (16×64×64), the results revealed an excellent agreement between theory and physical experiment in the range of variation ofR * from 125 to 400. The model seems to give a faithful description of turbulence in the wall region including correct, approximately Reynolds-number independent value of the spacing between the streaks. More experiments are needed to investigate the quality of the model for higher Reynolds number flows and to determine the resolution requirements of this LES model as the Reynolds number increases.

Key words  Renormalization group - turbulence - large-eddy simulation - subgridscale viscosity


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