使用动力学模型描述湍流

IF 0.5 4区数学 Q3 MATHEMATICS Doklady Mathematics Pub Date : 2024-05-13 DOI:10.1134/S1064562424701953

B. N. Chetverushkin, A. E. Lutsky, E. V. Shilnikov

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引用次数: 0

摘要

摘要获得了描述湍流的封闭方程系统。利用平衡动力学方程推导出了交叉脉动力矩（\rho \overline {\Delta {{u}_{i}}\Delta {{u}_{k}} ）的附加方程，该方程曾用于获得准气体动力学方程组。文中给出了两股气流之间二维混合层问题的数值结果。

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Description of Turbulent Flows Using a Kinetic Model

A closed system of equations for describing turbulent flows is obtained. Additional equations for the cross pulsation moments \(\rho \overline {\Delta {{u}_{i}}\Delta {{u}_{k}}} \) are derived using a balanced kinetic equation, which was previously used to obtain a quasi-gasdynamic system of equations. Numerical results for the problem of a two-dimensional mixing layer between two flows are presented.

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.