Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Russian participants

Application of k-ε model for the description of an atmospheric surface layer

Anuchin M.G., Neuvazhayev V.E., Parshukov I.E.

RFNC (Sneshinsk)

The problem on determination of non-dimensional characteristics of turbulent flow in atmospheric surface layer is considered within k-ε model. K-ε equations and their singular points are investigated. The mathematical program for calculations of characteristics of turbulent flow in surface atmospheric layer is developed. From the set of integral curves those curves are chosen which correspond to the solution of formulated task and ensure the satisfactory experiments description. Here the basic model constants are chosen according to the conventional criteria. At the same it is shown that the parameter C_Θ responding to convection source term of an Eps-equation should be chosen depending on stability conditions. The best agreement with experimental results is reached if C_Θ = O for steady stratification and C_Θ .ne. 0 for unstable stratification. By a numerical choice of value C_Θ and factor of a^{^} turbulent diffusion a the quite satisfactory description of experimental observations known as analytical interpolar dependencies is received.

Note. Abstracts are published in author's edition

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