On physical constraints for multi-scale turbulence closure models. (6th April 2005)

• Record Type: Journal Article
• Authors: Stawiarski, K.; Hanjalic, K.
• Is Part Of: Progress in computational fluid dynamics. Volume 5:Number 3-5(2005)
• Page Start: 120
• Page End: 135
• Publication Date: 2005-04-06
• Subjects: turbulence modelling -- multi-scale modelling -- second moment closure -- non-equilibrium flows -- generic flows -- physical constraints -- turbulence closure models -- eddy viscosity turbulence -- transport equation -- turbulence kinetic energy -- turbulent flows -- heat transfer; Fluid dynamics -- Data processing -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 620.10640285
• Languages: English
• ISSNs: 1468-4349

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.