Journal of Fluid Mechanics

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

W.  Rodi a1 and N. N.  Mansour a2
a1 Institut für Hydromechanik, Universität Karlsruhe, Kaiserstrasse 12, Karlsruhe, Germany
a2 NASA Ames Research Center, Moffett Field, CA 94035, USA

Article author query
rodi w   [Google Scholar] 
mansour nn   [Google Scholar] 


The constant Cμ and the near-wall damping function fμ in the eddy-viscosity relation of the k–[varepsilon] 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 [varepsilon]-budget is computed for the fully developed channel flow. The relative magnitude of the terms in the [varepsilon]-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 [varepsilon]-equation are tested against the DNS data, and an improved model is proposed.

(Published Online April 26 2006)
(Received April 17 1991)
(Revised February 17 1992)