Efficient and Unconditional Energy Stable Schemes for the Micropolar Navier-Stokes Equations

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-06-01 DOI:10.4208/csiam-am.so-2021-0008

Jie Shen null, Nan Zheng

引用次数: 1

Abstract

We develop in this paper efficient numerical schemes for solving the micropolar Navier-Stokes equations by combining the SAV approach and pressure-correction method. Our firstand second-order semi-discrete schemes enjoy remarkable properties such as (i) unconditional energy stable with a modified energy, and (ii) only a sequence of decoupled linear equations with constant coefficients need to be solved at each time step. We also construct fully discrete versions of these schemes with a special spectral discretization which preserve the essential properties of the semi-discrete schemes. Numerical experiments are presented to validate the proposed schemes. AMS subject classifications: 65M12, 65M70, 35Q30, 76A05

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微极Navier-Stokes方程的有效和无条件能量稳定格式

本文结合SAV法和压力校正法，建立了求解微极Navier-Stokes方程的有效数值格式。我们的一阶二阶半离散格式具有显著的性质，例如(i)具有修正能量的无条件能量稳定，以及(ii)在每个时间步只需要求解一系列具有常系数的解耦线性方程。我们还用一种特殊的谱离散构造了这些格式的完全离散版本，它保留了半离散格式的基本性质。数值实验验证了所提方案的有效性。AMS学科分类:65M12、65M70、35Q30、76A05

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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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.