Mixed Generalized Multiscale Finite Element Method for a Simplified Magnetohydrodynamics Problem in Perforated Domains
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香港中文大學研究人員

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摘要In this paper, we consider a coupled system of equations that describes simplified magnetohydrodynamics (MHD) problem in perforated domains. We construct a fine grid that resolves the perforations on the grid level in order to use a traditional approximation. For the solution on the fine grid, we construct approximation using the mixed finite element method. To reduce the size of the fine grid system, we will develop a Mixed Generalized Multiscale Finite Element Method (Mixed GMsFEM). The method differs from existing approaches and requires some modifications to represent the flow and magnetic fields. Numerical results are presented for a two-dimensional model problem in perforated domains. This model problem is a special case for the general 3D problem. We study the influence of the number of multiscale basis functions on the accuracy of the method and show that the proposed method provides a good accuracy with few basis functions.
著者Valentin Alekseev, Qili Tang, Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev
期刊名稱Computation
出版年份2020
月份6
卷號8
期次2
出版社MDPI
文章號碼58
國際標準期刊號2079-3197
語言美式英語

上次更新時間 2020-24-09 於 00:08