Reynolds number k-ε modeling by using the direct numerical simulation (DNS) data

Abstract

The constant C and the near-wall damping function f in the eddyviscosityrelation of the k-ε model are evaluated from direct numerical
simulation (DNS) data for developed channel and boundary-layer flow, eachat two Reynolds numbers. Various existing f

µ
µ
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 analyzed 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.