一种基于监测和估计函数的网格自适应算法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/naco.2021029

Prabhat Mishra, Vikas Gupta, R. Dubey

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引用次数: 0

摘要

本文提出了一种新的网格自适应技术来逼近偏微分方程的不连续或边界层解。我们引入了新的估计器和监测函数来检测包含不连续和层状区域的解域。然后，利用这些信息，结合等分布原理对网格进行局部调整。给出了许多标量问题的数值测试。这些结果清楚地证明了该方法的鲁棒性和计算解的非振荡性质。

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A mesh adaptation algorithm using new monitor and estimator function for discontinuous and layered solution

In this work a novel mesh adaptation technique is proposed to approximate discontinuous or boundary layer solution of partial differential equations. We introduce new estimator and monitor function to detect solution region containing discontinuity and layered region. Subsequently, this information is utilized along with equi-distribution principle to adapt the mesh locally. Numerical tests for numerous scalar problems are presented. These results clearly demonstrate the robustness of this method and non-oscillatory nature of the computed solutions.

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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.