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

Abstract EN

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 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.