A realizable explicit algebraic Reynolds stress model for compressible turbulent flow with significant mean dilatation
2013 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 25, no 10, 105112- p.Article in journal (Refereed) Published
The explicit algebraic Reynolds stress model of Wallin and Johansson [J. Fluid Mech. 403, 89 (2000)] is extended to compressible and variable-density turbulent flows. This is achieved by correctly taking into account the influence of the mean dilatation on the rapid pressure-strain correlation. The resulting model is formally identical to the original model in the limit of constant density. For two-dimensional mean flows the model is analyzed and the physical root of the resulting quartic equation is identified. Using a fixed-point analysis of homogeneously sheared and strained compressible flows, we show that the new model is realizable, unlike the previous model. Application of the model together with a K - omega model to quasi one-dimensional plane nozzle flow, transcending from subsonic to supersonic regime, also demonstrates realizability. Negative "dilatational" production of turbulence kinetic energy competes with positive "incompressible" production, eventually making the total production negative during the spatial evolution of the nozzle flow. Finally, an approach to include the baroclinic effect into the dissipation equation is proposed and an algebraic model for density-velocity correlations is outlined to estimate the corrections associated with density fluctuations. All in all, the new model can become a significant tool for CFD (computational fluid dynamics) of compressible flows.
Place, publisher, year, edition, pages
2013. Vol. 25, no 10, 105112- p.
Rapid Pressure-Strain, Scalar-Flux, Shear Flows, Dissipation, Closures
Other Physics Topics
IdentifiersURN: urn:nbn:se:kth:diva-134751DOI: 10.1063/1.4825282ISI: 000326642800047ScopusID: 2-s2.0-84887002294OAI: oai:DiVA.org:kth-134751DiVA: diva2:668210
FunderSwedish Research Council, 2010-3938 2010-6965 2010-4147
QC 201311292013-11-292013-11-282016-03-14Bibliographically approved