Abonnement à la biblothèque: Guest
TSFP DL Home Archives Comité de direction

A TERM-BY-TERM MODEL OF TURBULENCE ENERGY AND STRESS DISSIPATION CONSISTENT WITH NEAR WALL LIMITS

Suad Jakirlic
Department of Mechanical Engineering Institute of Fluid Mechanics and Aerodynamics (SLA) / Center of Smart Interfaces (CSI) Technische Universitat Darmstadt Petersenstrasse 17, D-64287 Darmstadt, Germany

Kemal Hanjalic
Department of Physics, Novosibirsk State University (NSU), 1, Pirogov Str., Novosibirsk, 630090, Russia; Faculty of Applied Sciences, Delft University of Technology (TU Delft), Building 58, Van der Maasweg 9, 2629 HZ, Delft, The Netherlands

Résumé

A DNS-based new model of the transport equation for the turbulence energy dissipation rate ε and an algebraic expression for its tensor εij, all satisfying the wall-limits without using topological parameters, are derived in terms of their 'homogeneous' parts εh and εhij. The approach is based on the two-point velocity covariance analysis of Jovanovic, Ye and Durst (1995), with re-interpretation of the viscous term. A priori evaluation of εij using DNS data for quantities other than εij, and the computation with the full uiujh model of flows in a pipe, plane channel, boundary layer, behind a backward-facing step and in an axially-rotating pipe, show good near-wall behavior of all terms in accord with the DNS data.