One-equation turbulence model based on k/ϵ

M. M. Rahman, V. Vuorinen, R. K. Agarwal, M. Larmi, Timo Siikonen

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

1 Citation (Scopus)

Abstract

A one–equation variant of a k-ϵ turbulence model based on the mean turbulent time scale T = k/ϵ–equation is developed to account for the effects of low–Reynolds number (LRN) and wall proximity. The turbulent kinetic energy k is evaluated with an algebraically prescribed length scale having only one adjustable coefficient. The stress–intensity ratio Rb= uv/k is devised as a function of local variables without resorting to a constant √Cµ = 0.3. An anisotropic function fkis embedded in the eddy-viscosity µT to reduce its magnitude in the near–wall region. In this model, the parameter Rbincluded in the turbulence production Pkprevents the overestimation of Pkin flow regions where non–equilibrium effects may result in a misalignment between the turbulent stress and mean strain–rate common in a linear eddy–viscosity model. The Bradshaw–relation Rband the coefficients in the length-scale determining terms are calibrated using the DNS data for the fully developed turbulent channel flow. A comparative assessment of the accuracy of the present model compared to the the Spalart–Allmaras (SA) one–equation model and the shear stress transport (SST) k–ω model is conducted for well–documented simple equilibrium and non–equilibrium turbulent flows.

Original languageEnglish
Title of host publicationAIAA SciTech Forum - 55th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics (AIAA)
ISBN (Electronic)9781624104473
DOIs
Publication statusPublished - 2017
MoE publication typeA4 Conference publication
EventAIAA Aerospace Sciences Meeting - Grapevine, United States
Duration: 9 Jan 201713 Jan 2017
Conference number: 55

Conference

ConferenceAIAA Aerospace Sciences Meeting
Country/TerritoryUnited States
CityGrapevine
Period09/01/201713/01/2017

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