用多项式混沌展开描述随机水平集

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-12-07 DOI:10.4310/cms.2024.v22.n1.a4

Markus Bambach, Stephan Gerster, Michael Herty, Aleksey Sikstel

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引用次数: 1

摘要

我们提出了一种新方法来确定水平集在其速度场不确定的情况下的演变。这导致了对水平集的随机描述。为了计算随机水平集的量值，我们使用随机伽勒金方法对水平集传播方程进行双曲重述。我们提出了一种新颖的侵入式 Galerkin 公式，并证明它是双曲的。该方法可产生专门针对不确定速度的相应有限体积方案。

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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Description of random level sets by polynomial chaos expansions

We present a novel approach to determine the evolution of level sets under uncertainties in their velocity fields. This leads to a stochastic description of level sets. To compute the quantiles of random level sets, we use the stochastic Galerkin method for a hyperbolic reformulation of the equations for the propagation of level sets. A novel intrusive Galerkin formulation is presented and proven to be hyperbolic. It induces a corresponding finite-volume scheme that is specifically tailored to uncertain velocities.

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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.

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