M.A. Guzev, S.V. Fortova, A.N. Doludenko, A.O. Posudnevskaya, A.D. Ermakov
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引用次数: 0
摘要
应用 V.P. Maslov 的理论成果分析数值模拟过程中出现的流体流动状态是一种新的做法。本文以粘性流体二维运动的 Kolmogorov 型流动为例，提出了对涡度场及其出现频率的等级分析。对于在空间情况下形成柱状结构的问题，也进行了类似的分析。结果表明，对于湍流、涡流和层流流体运动状态，秩分布表现出的特征可用来划分流动类型。 doi 10.1134/s1061920824030075
Maslov Rank Distributions for the Analysis of Two-Dimensional and Quasi-Two-Dimensional Turbulent Flows
A new practice of applying V.P. Maslov’s theoretical results has been implemented for analyzing fluid flow regimes that arise during their numerical modelling. In this paper, using the example of a Kolmogorov-type flow for two-dimensional motion of a viscous fluid, a rank analysis of the vorticity field and its frequency of occurrence is proposed. A similar analysis has been performed for the problem of forming columnar structures in the spatial case. It has been shown that, for the turbulent, vortex, and laminar fluid motion regimes, the rank distributions exhibit characteristics that can be used to classify the flow types.
期刊介绍：
Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.
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