Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2019-08-01 DOI:10.3934/JCD.2019006

Joshua Hudson, M. Jolly

引用次数: 14

Abstract

We study the computational efficiency of several nudging data assimilation algorithms for the 2D magnetohydrodynamic equations, using varying amounts and types of data. We find that the algorithms work with much less resolution in the data than required by the rigorous estimates in [ 7 ]. We also test other abridged nudging algorithms to which the analytic techniques in [ 7 ] do not seem to apply. These latter tests indicate, in particular, that velocity data alone is sufficient for synchronization with a chaotic reference solution, while magnetic data alone is not. We demonstrate that a new nonlinear nudging algorithm, which is adaptive in both time and space, synchronizes at a super exponential rate.

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二维磁流体动力学方程数据同化的数值有效性研究

利用不同数量和类型的数据，研究了几种推动数据同化算法对二维磁流体动力学方程的计算效率。我们发现，这些算法在数据中的分辨率远低于[7]中严格估计所需的分辨率。我们还测试了[7]中的分析技术似乎不适用的其他简化的助推算法。这些后一种测试特别表明，速度数据本身足以与混沌参考解同步，而磁数据本身则不够。本文提出了一种具有时间和空间自适应的非线性微推算法，该算法能以超指数速率同步。

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.