Unimodal patterns appearing in the two-dimensional Navier-Stokes flows under general forcing at large Reynolds numbers

被引：9

作者：

Kim, Sun-Chul ^{[1
,2
]}

Miyaji, Tomoyuki ^{[3
]}

Okamoto, Hisashi ^{[4
]}

机构：

[1] Chung Ang Univ, Dept Math, 84 Heukseok Ro, Seoul 06974, South Korea

[2] Korea Inst Adv Study, 85 Hoegi Ro, Seoul 02455, South Korea

[3] Meiji Univ, Meiji Inst Adv Study Math Sci, Nakano Ku, 4-21-1 Nakano, Tokyo 1648525, Japan

[4] Gakushuin Univ, Dept Math, Tokyo 1718588, Japan

来源：

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS | 2017年 / 65卷

基金：

新加坡国家研究基金会;

关键词：

Bifurcation; Pattern formation; Two-dimensional Navier-Stokes; PROUDMAN-JOHNSON EQUATION; KOLMOGOROV FLOWS; TURBULENCE; VORTICES;

D O I：

10.1016/j.euromechflu.2017.04.004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider the Navier-Stokes equations in 2D flat tori. With various external forces and aspect ratios of the tori, we compute steady-states and time-periodic solutions at large Reynolds numbers. Our external forces are more general than those considered previously. We demonstrate, by numerical experiments, that certain solutions having streamline patterns of simple topology appear at large Reynolds numbers. (C) 2017 Elsevier Masson SAS. All rights reserved.

引用

页码：234 / 246

页数：13

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