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

Kim Sun-Chul; Miyaji Tomoyuki; Okamoto Hisashi

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

机译：出现在二维Navier-Stokes的单峰模式在大型雷诺数的一般强迫下流动

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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.

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来源
《European Journal of Mechanics, B. Fluids》 |2017年第2017期|共13页
作者
Kim Sun-Chul; Miyaji Tomoyuki; Okamoto Hisashi;
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作者单位

Chung Ang Univ Dept Math 84 Heukseok Ro Seoul 06974 South Korea;

Meiji Univ Meiji Inst Adv Study Math Sci Nakano Ku 4-21-1 Nakano Tokyo 1648525 Japan;

Gakushuin Univ Dept Math Tokyo 1718588 Japan;

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原文格式 PDF
正文语种 eng
中图分类理论力学（一般力学）;
关键词
Bifurcation; Pattern formation; Two-dimensional Navier-Stokes;

机译：分叉;模式形成;二维Navier-Stokes;

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机译：出现在二维Navier-Stokes的单峰模式在大型雷诺数的一般强迫下流动
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Unimodal patterns appearing in the two-dimensional Navier-Stokes flows under general forcing at large Reynolds numbers

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