A modified one-equation turbulence model based on k-equation

M. M. Rahman, R. K. Agarwal, T. Siikonen

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

2 Citations (Scopus)

Abstract

An approach to reducing the two-equation k-ǫ model to a one-equation model based on the k-equation is proposed to account for the distinct effects of low-Reynolds number (LRN) and wall proximity. The dissipation rate ǫ is evaluated with an algebraically prescribed length scale having only one adjustable coefficient. The stress-intensity ratio Rb = u1u2/k is devised as a function of local variables without resorting to a constant Cμ = 0.3. The key parameter Rb entering the turbulence production Pk prevents presum-ably the overestimation of Pk in flow regions where non-equilibrium effects could result in a misalignment between turbulent stress and mean strain-rate with a linear eddy-viscosity model. An anisotropic function fk is for-mulated to enhance the dissipation in the near-wall region. The Bradshaw-relation Rb and the coefficient of dissipation term are calibrated against the fully developed turbulent channel flow; however they yield good predictions. A comparative assessment of the present model with the Spalart-Allmaras (SA) one-equation model and the shear stress transport (SST) k-ω model is provided for well-documented simple and non-equilibrium turbulent flows.

Original languageEnglish
Title of host publication54th AIAA Aerospace Sciences Meeting
PublisherAIAA
Number of pages19
ISBN (Print)9781624103933
DOIs
Publication statusPublished - 2016
MoE publication typeA4 Article in a conference publication
EventAIAA Aerospace Sciences Meeting - San Diego, United States
Duration: 4 Jan 20168 Jan 2016
Conference number: 54

Conference

ConferenceAIAA Aerospace Sciences Meeting
CountryUnited States
CitySan Diego
Period04/01/201608/01/2016

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