用Navier-Stokes方程模拟湍流

Journal of Nonlinear Sciences and Applications Pub Date : 2019-09-01 DOI:10.22436/jnsa.013.02.03

B. Wong

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引用次数: 1

摘要

纳维-斯托克斯微分方程描述了不可压缩流体的运动。三维纳维-斯托克斯方程虽然看起来相对简单，但表现得非常糟糕。即使在良好、平滑、无害的初始条件下，解也可能变得极其不稳定。对这些方程的惊人行为的数学理解将极大地改变流体力学领域。本文描述了三维Navier-Stokes方程不可解的原因，即该方程不能用于模拟湍流这一三维现象。这篇论文发表在一本国际期刊上。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Modeling turbulence with the Navier-Stokes equations

The Navier-Stokes differential equations describe the motion of fluids which are incompressible. The three-dimensional Navier-Stokes equations misbehave very badly although they are relatively simple-looking. The solutions could wind up being extremely unstable even with nice, smooth, reasonably harmless initial conditions. A mathematical understanding of the outrageous behaviour of these equations would dramatically alter the field of fluid mechanics. This paper describes why the three-dimensional Navier-Stokes equations are not solvable, i.e., the equations cannot be used to model turbulence, which is a three-dimensional phenomenon. [The paper is published in an international journal.]

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

自引率

0.00%

发文量

期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.