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Low Reynolds number k—ε modelling with the aid of direct simulation data

Published online by Cambridge University Press:  26 April 2006

W. Rodi  and
N. N. Mansour
W. Rodi
Affiliation:
Institut für Hydromechanik, Universität Karlsruhe, Kaiserstrasse 12, Karlsruhe, Germany
N. N. Mansour
Affiliation:
NASA Ames Research Center, Moffett Field, CA 94035, USA
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Abstract

The constant Cμ and the near-wall damping function fμ in the eddy-viscosity relation of the k–ε model are evaluated from direct numerical simulation (DNS) data for developed channel and boundary-layer flow, each at two Reynolds numbers. Various existing fμ model functions are compared with the DNS data, and a new function is fitted to the high-Reynolds-number channel flow data. The ε-budget is computed for the fully developed channel flow. The relative magnitude of the terms in the ε-equation is analysed with the aid of scaling arguments, and the parameter governing this magnitude is established. Models for the sum of all source and sink terms in the ε-equation are tested against the DNS data, and an improved model is proposed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 250 , May 1993 , pp. 509 - 529
Copyright
© 1993 Cambridge University Press

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