A CONSISTENCY CONDITION FOR NONLINEAR ALGEBRAIC REYNOLDS STRESS MODELS IN TURBULENCE

Authors
Citation
Cg. Speziale, A CONSISTENCY CONDITION FOR NONLINEAR ALGEBRAIC REYNOLDS STRESS MODELS IN TURBULENCE, International journal of non-linear mechanics, 33(4), 1998, pp. 579-584
Citations number
21
Categorie Soggetti
Mechanics
ISSN journal
00207462
Volume
33
Issue
4
Year of publication
1998
Pages
579 - 584
Database
ISI
SICI code
0020-7462(1998)33:4<579:ACCFNA>2.0.ZU;2-9
Abstract
An important consistency condition for non-linear algebraic Reynolds s tress models involving their dependence on rotational strains is discu ssed from a basic theoretical standpoint. A variety of recently propos ed models are demonstrated to violate this condition which leads to ph ysically inconsistent results and unrealizable solutions in rotating f lows - an undesirable state of affairs that was avoided in the majorit y of earlier models. It is shown that when non-linear algebraic models are systematically derived from the Reynolds stress transport equatio n, such inconsistencies are automatically avoided. The implications of these results for turbulence modeling are demonstrated quantitatively by the illustrative example of isotropic turbulence in a rotating fra me. (C) 1997 Elsevier Science Ltd.