Large Eddy Simulations Using the Subgrid-Scale Estimation Model and Truncated Navier–Stokes Dynamics |
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| Authors: | J Andrzej Domaradzki Kuo Chieh Loh Patrick P Yee |
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| Institution: | (1) Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1191, U.S.A., US;(2) Department of Aerospace and Mechanical Enginering, University of Southern California, Los Angeles, CA 90089-1191, U.S.A. and The Aerospace Corporation, P.O. Box 92957, Los Angeles, CA 90009-2957, U.S.A., US |
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| Abstract: | We describe a procedure for large eddy simulations of turbulence which uses the subgrid-scale estimation model and truncated
Navier–Stokes dynamics. In the procedure the large eddy simulation equations are advanced in time with the subgrid-scale stress
tensor calculated from the parallel solution of the truncated Navier–Stokes equations on a mesh two times smaller in each
Cartesian direction than the mesh employed for a discretization of the resolved quantities. The truncated Navier–Stokes equations
are solved through a sequence of runs, each initialized using the subgrid-scale estimation model. The modeling procedure is
evaluated by comparing results of large eddy simulations for isotropic turbulence and turbulent channel flow with the corresponding
results of experiments, theory, direct numerical simulations, and other large eddy simulations. Subsequently, simplifications
of the general procedure are discussed and evaluated. In particular, it is possible to formulate the procedure entirely in
terms of the truncated Navier–Stokes equation and a periodic processing of the small-scale component of its solution.
Received 27 April 2001 and accepted 16 December 2001 |
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