Turbulence Modeling

[+] Author and Article Information
J. L. Lumley

Department of Mechanical and Aerospace Engineering, Cornell University, Ithaca, N.Y. 14853

J. Appl. Mech 50(4b), 1097-1103 (Dec 01, 1983) (7 pages) doi:10.1115/1.3167192 History: Received March 01, 1983; Online July 21, 2009


The historical development of and motivation for turbulence modeling is briefly surveyed. The models of various levels are described, and the performance of second-order models discussed. The various basic constraints to which second-order models are or are not subject are considered, including invariance, material frame indifference, realizability, and the preservation of moment inequalities. Finally, fundamental difficulties that arise in the case of multiple scales are discussed.

Copyright © 1983 by ASME
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