FEM-MsFEM hybrid method for the Stokes-Darcy model

IF 3.8 2区物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Physics Pub Date : 2025-03-25 DOI:10.1016/j.jcp.2025.113952

Yachen Hong , Wenhan Zhang , Lina Zhao , Haibiao Zheng

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引用次数: 0

Abstract

This paper explores the application of hybrid of the finite element method and multiscale finite element method (FEM-MsFEM) to address the steady-state Stokes-Darcy problems with Beavers-Joseph-Saffman (BJS) interface conditions in highly heterogeneous porous media. We propose an algorithm for this multiscale Stokes-Darcy model. The FEM-MsFEM hybrid method adapts to the characteristics of different regions. MsFEM basis functions are applied to the Darcy region, whereas standard finite element basis functions are utilized for the Stokes region. Afterward, the FEM-MsFEM basis functions are used for computations with the Robin-Robin domain decomposition algorithm. Furthermore, this special domain decomposition algorithm preserves a convergence rate independent of the mesh size. Subsequently, we conduct error analysis based on

L^{2}

and

H^{1}

norms for this FEM-MsFEM hybrid method. Finally, we present extensive numerical tests, illustrating the results of error and convergence analysis.

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来源期刊

Journal of Computational Physics 物理-计算机：跨学科应用

CiteScore

7.60

自引率

14.60%

发文量

763

审稿时长

5.8 months

期刊介绍： Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.