One-Equation Near-Wall Turbulence Modeling With the Aid of Direct Simulation Data

[+] Author and Article Information
W. Rodi

University of Karlsruhe, Karlsruhe, Germany

N. N. Mansour

NASA Ames Research Center, Moffett Field, CA 94035

V. Michelassi

University of Florence, Florence, Italy

J. Fluids Eng 115(2), 196-205 (Jun 01, 1993) (10 pages) doi:10.1115/1.2910124 History: Received February 20, 1991; Revised January 19, 1993; Online May 23, 2008


The length scales appearing in the relations for the eddy viscosity and dissipation rate in one-equation models were evaluated from direct numerical (DNS) simulation data for developed channel and boundary-layer flow at two Reynolds numbers each. To prepare the ground for the evaluation, the distribution of the most relevant mean-flow and turbulence quantities is presented and discussed, also with respect to Reynolds-number influence and to differences between channel and boundary-layer flow. An alternative model is examined in which (v′2 )1/2 is used as velocity scale instead of k1/2 . With this velocity scale, the length scales now appearing in the model follow closely a linear relationship near the wall. The resulting length-scale relations together with a DNS based relation between v′2 /k and y* = k1/2 y/v form a new one-equation model for use in near-wall regions. The new model was tested as near wall component of a two-layer model by application to developed-channel, boundary-layer and backward-facing-step flows.

Copyright © 1993 by The American Society of Mechanical Engineers
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