旋转参照系中不可压缩纳维-斯托克斯方程的压力近似法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-18 DOI:10.1007/s10543-024-01037-6

Medine Demir, Volker John

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引用次数: 0

摘要

研究考虑了旋转参照系下不可压缩纳维-斯托克斯方程的压力空间离散化。离散化采用无发散、(H^1\)-符合混合有限元方法，如 Scott-Vogelius 对。得出的速度误差估计值跟踪了误差约束对问题系数的依赖性，特别是对角速度的依赖性。数值实例支持理论结果。

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Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference

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Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference

A pressure-robust space discretization of the incompressible Navier–Stokes equations in a rotating frame of reference is considered. The discretization employs divergence-free, \(H^1\)-conforming mixed finite element methods like Scott–Vogelius pairs. An error estimate for the velocity is derived that tracks the dependency of the error bound on the coefficients of the problem, in particular on the angular velocity. Numerical examples support the theoretical results.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.