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International Workshop «Geometric Structures in Integrable Systems»
October 30, 2012 11:10–11:50, Moscow, M.V. Lomonosov Moscow State University
 


Non-invariant solutions of the three-dimensional semi-empirical model of the far turbulent wake

O. V. Kaptsov, A. V. Schmidt

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk
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O. V. Kaptsov, A. V. Schmidt

Abstract: A semi-empirical three-dimensional model of turbulence in the approximation of the far turbulent wake behind a self-propelled body in a passive stratified medium is considered. The sought quantities are the kinetic turbulent energy, kinetic energy dissipation rate, averaged density defect and density fluctuation variance. The full group of transformations admitted by this model is found. The model is reduced to a system of ordinary differential equations using symmetry groups and B-determining equations method. This system of ordinary differential equations satisfying natural boundary conditions was solved numerically. The obtained solutions agree with experimental data.

Materials: gsis_okaptsov.pdf (492.1 Kb)

Language: English

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