A strongly conservative hybridizable discontinuous Galerkin method for the coupled time-dependent Navier--Stokes and Darcy problem

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Esaim-Probability and Statistics Pub Date : 2023-10-23 DOI:10.1051/m2an/2023086

Aycil Cesmelioglu, Jeonghun Lee, Sander Rhebergen

引用次数: 0

Abstract

We present a strongly conservative and pressure-robust hybridizable discontinuous Galerkin method for the coupled time-dependent Navier–Stokes and Darcy problem. We show existence and uniqueness of a solution and present an optimal a priori error analysis for the fully discrete problem when using Backward Euler time stepping. The theoretical results are verified by numerical examples.

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耦合时相关Navier—Stokes和Darcy问题的一种强保守杂交不连续Galerkin方法

针对耦合时相关的Navier-Stokes和Darcy问题，提出了一种强保守性和压力鲁棒性的杂化不连续Galerkin方法。我们证明了解的存在唯一性，并给出了用后向欧拉时间步进求解完全离散问题的最优先验误差分析。数值算例验证了理论结果。

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

Esaim-Probability and Statistics STATISTICS & PROBABILITY-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research and survey papers in the area of Probability and Statistics. It covers theoretical and practical aspects, in any field of these domains. Of particular interest are methodological developments with application in other scientific areas, for example Biology and Genetics, Information Theory, Finance, Bioinformatics, Random structures and Random graphs, Econometrics, Physics. Long papers are very welcome. Indeed, we intend to develop the journal in the direction of applications and to open it to various fields where random mathematical modelling is important. In particular we will call (survey) papers in these areas, in order to make the random community aware of important problems of both theoretical and practical interest. We all know that many recent fascinating developments in Probability and Statistics are coming from "the outside" and we think that ESAIM: P&S should be a good entry point for such exchanges. Of course this does not mean that the journal will be only devoted to practical aspects.