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Exploring k and epsilon with R-Equation Model Using Elliptic Relaxation Function
Aalto Univ, Aalto, Finland.
KTH, School of Engineering Sciences (SCI), Mechanics, Turbulence.ORCID iD: 0000-0001-8692-0956
Aalto Univ, Aalto, Finland.
2012 (English)In: Flow Turbulence and Combustion, ISSN 1386-6184, E-ISSN 1573-1987, Vol. 89, no 1, 121-148 p.Article in journal (Refereed) Published
Abstract [en]

An extended version of the isotropic R-equation model accompanied by an elliptic relaxation approach to account for the distinct effects of low-Reynolds number (LRN) and wall proximity is proposed. The turbulent kinetic energy k and the dissipation rate I mu are evaluated using the R () transport equation together with some empirical relations. The eddy viscosity formulation maintains the positivity of normal Reynolds stresses and the Schwarz' inequality for turbulent shear stresses. The model coefficients/functions preserve the anisotropic characteristics of turbulence in the sense that they are sensitized to rotational and nonequilibrium flows. The model is validated against a few well-documented flow cases, yielding predictions in good agreement with the direct numerical simulation (DNS) and experimental data. Comparisons indicate that the present model offers some improvement over the Spalart-Allmaras one-equation model and competitiveness with the SST k-omega model.

Place, publisher, year, edition, pages
2012. Vol. 89, no 1, 121-148 p.
Keyword [en]
R-equation model, Turbulence anisotropy, Realizability, Elliptic relaxation
National Category
Applied Mechanics
URN: urn:nbn:se:kth:diva-98917DOI: 10.1007/s10494-012-9390-3ISI: 000305055300006ScopusID: 2-s2.0-84862143632OAI: diva2:540931
Swedish eā€Science Research Center

QC 20120712

Available from: 2012-07-12 Created: 2012-07-05 Last updated: 2013-04-08Bibliographically approved

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