Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Second-order closure models for rotating turbulent flows

Author: Charles G. Speziale
Journal: Quart. Appl. Math. 45 (1987), 721-733
MSC: Primary 76U05; Secondary 76F99
DOI: https://doi.org/10.1090/qam/917022
MathSciNet review: 917022
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Abstract: The physical properties of the commonly used second-order closure models are examined theoretically for rotating turbulent flows. Comparisons are made with results which are a rigorous consequence of the Navier--Stokes equations for the problem of fully-developed turbulent channel flow in a rapidly rotating framework. It is demonstrated that all existing second-order closures yield spurious physical results for this test problem of rotating channel flow. In fact, the results obtained are shown to be substantially more unphysical than those obtained from the simpler $ K - \epsilon $ and $ K - l$ models. Modifications in the basic structure of these second-order closure models are proposed which can alleviate this problem.

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DOI: https://doi.org/10.1090/qam/917022
Article copyright: © Copyright 1987 American Mathematical Society

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