An Integrated Quadratic Reconstruction for Finite Volume Schemes to Scalar Conservation Laws in Multiple Dimensions

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2017-06-05 DOI:10.4208/csiam-am.2020-0017

Li Chen, Ruo Li, Feng Yang

引用次数: 2

Abstract

We proposed a piecewise quadratic reconstruction method, which is in an integrated style, for finite volume schemes to scalar conservation laws. This quadratic reconstruction is parameter-free, is of third-order accuracy for smooth functions, and is flexible on structured and unstructured grids. The finite volume schemes with the new reconstruction satisfy a local maximum principle. Numerical examples are presented to show that the proposed schemes with a third-order Runge-Kutta method attain the expected order of accuracy.

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多维标量守恒定律的有限体积格式的积分二次重构

针对标量守恒定律的有限体积格式，我们提出了一种积分形式的分段二次重构方法。这种二次重构是无参数的，对于光滑函数具有三阶精度，并且在结构化和非结构化网格上是灵活的。具有新重构的有限体积格式满足局部极大值原理。数值算例表明，所提出的三阶龙格-库塔法格式达到了预期的精度。

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.