On physical constraints for multi-scale turbulence closure models Online publication date: Tue, 05-Apr-2005
by K. Stawiarski, K. Hanjalic
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 5, No. 3/4/5, 2005
Abstract: This paper deals with a generalisation of physical constraints for the family of two-scale eddy viscosity turbulence models, aimed at deriving general model coefficients. The focus is on models in which – next to the transport equation for the turbulence kinetic energy – two additional equations are solved to provide separately the scales of the energy-containing eddies and of the dissipative processes. The natural choice for accounting for spectral dynamics is to solve separate equations for the spectral energy flux dominated by the energy-containing eddies, εp, and for the energy dissipation εT. We give a critical evaluation of the physical constraints derived for three generic turbulent flows, which can be used to determine model coefficients. The analysis is presented for a generic variable φ, which can subsequently be transformed into any other scalar scale variable, allowing one to analyse the properties and performances of different equations.
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