Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study

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• 作者：Guido Kanschat^a ; ^{kanschat@uni-heidelberg.de" class="auth_mail" title="E-mail the corresponding author} ; Raytcho Lazarov^b ; ^{lazarov@math.tamu.edu" class="auth_mail" title="E-mail the corresponding author} ; Youli Mao^c ; ^{youlimao@tamu.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Darcy and Brinkman flows ; Heterogeneous porous media ; Multigrid methods ; Preconditioning
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：310
• 期：Complete
• 页码：174-185
• 全文大小：2548 K

文摘

We apply geometric multigrid methods for the finite element approximation of flow problems governed by Darcy and Brinkman systems used in modeling highly heterogeneous porous media. The method is based on divergence-conforming discontinuous Galerkin methods and overlapping, patch based domain decomposition smoothers. We show in benchmark experiments that the method is robust with respect to mesh size and contrast of permeability for highly heterogeneous media.