An investigation of wall-anisotropy expressions and length-scale equations for non-linear eddy-viscosity models

K. Abe, Y. J. Jang, M. A. Leschziner

Research output: Contribution to journalArticle

85 Citations (Scopus)

Abstract

New closure approximations are proposed, within the framework of non-linear eddy-viscosity modeling, which aim specifically at an improved representation of near-wall anisotropy in both shear and stagnation flows. The main novel element is the introduction of tensorial terms, alongside strain and vorticity, which depend on wall-direction indicators and which procure the correct asymptotic near-wall behavior of the Reynolds stresses. The newly formulated non-linear constitutive equation for the Reynolds stresses is combined with low-Reynolds-number forms of equations for the rate of dissipation ε or the specific dissipation ω, the latter incorporating a number of new features into the established form of the equation. The predictive performance of three model variants is investigated by reference to three test flows: A plane channel flow, a separated flow in a channel with periodic hill-shaped obstacles on one wall and a plane impinging jet. It is shown that the new model elements result in a substantially improved representation of the Reynolds-stress field at the wall, especially in the wall-normal Reynolds stress. One of the variants includes the use of the modified ω-equation, and it is shown that this model performs especially well in the presence of separation.

Original languageEnglish
Pages (from-to)181-198
Number of pages18
JournalInternational Journal of Heat and Fluid Flow
Volume24
Issue number2
DOIs
Publication statusPublished - Apr 2003

Fingerprint

eddy viscosity
Anisotropy
Reynolds stress
Viscosity
anisotropy
Channel flow
dissipation
Constitutive equations
Vorticity
stagnation flow
separated flow
Reynolds number
low Reynolds number
constitutive equations
channel flow
shear flow
vorticity
stress distribution
closures
approximation

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

An investigation of wall-anisotropy expressions and length-scale equations for non-linear eddy-viscosity models. / Abe, K.; Jang, Y. J.; Leschziner, M. A.

In: International Journal of Heat and Fluid Flow, Vol. 24, No. 2, 04.2003, p. 181-198.

Research output: Contribution to journalArticle

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