期刊论文详细信息
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 卷:270
Equal order approximations enriched with bubbles for coupled Stokes-Darcy problem
Article; Proceedings Paper
Nafa, Kamel
关键词: Stabilized finite elements;    Mixed elements;    Darcy equation;    Stokes equations;    Flows in porous media;   
DOI  :  10.1016/j.cam.2014.01.010
来源: Elsevier
PDF
【 摘 要 】

As a remedy to the instability of the Galerkin finite element formulation, symmetric stabilization techniques such as the continuous interior penalty, the subgrid and local projection methods were proposed and analyzed by Burman and Hansbo (2006) [10], Badia and Codina (2009) [11], Becker and Braack (2001) [12], and Nafa and Wathen (2009)113]. In this work we consider a coupled Stokes-Darcy problem, where in one part of the domain the fluid motion is described by Stokes equations and for the other part the fluid is in a porous medium and described by Darcy law and the conservation of mass. Such systems can be discretized by heterogeneous finite elements in the two parts, such as Taylor-Hood or MINI elements for the Stokes domain, and mixed elements of Raviart-Thomas elements type for the Darcy domain. Here, we discretize by standard equal-order finite elements enriched with bubbles functions and use local projection stabilization technique (LPS) to stabilize the method and control the fluctuation of the velocity divergence vector on the Darcy region. We also suggest a way to control the natural H(div) velocity. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free   

【 预 览 】
附件列表
Files Size Format View
10_1016_j_cam_2014_01_010.pdf 398KB PDF download
  文献评价指标  
  下载次数:3次 浏览次数:0次