Multiscale Model Reduction of the Unsaturated Flow Problem in Heterogeneous Porous Media with Rough Surface Topography
Publication in refereed journal

香港中文大學研究人員
替代計量分析
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其它資訊
摘要In this paper, we consider unsaturated filtration in heterogeneous porous media with rough surface topography. The surface topography plays an important role in determining the flow process and includes multiscale features. The mathematical model is based on the Richards’ equation with three different types of boundary conditions on the surface: Dirichlet, Neumann, and Robin boundary conditions. For coarse-grid discretization, the Generalized Multiscale Finite Element Method (GMsFEM) is used. Multiscale basis functions that incorporate small scale heterogeneities into the basis functions are constructed. To treat rough boundaries, we construct additional basis functions to take into account the influence of boundary conditions on rough surfaces. We present numerical results for two-dimensional and three-dimensional model problems. To verify the obtained results, we calculate relative errors between the multiscale and reference (fine-grid) solutions for different numbers of multiscale basis functions. We obtain a good agreement between fine-grid and coarse-grid solutions.
著者Denis Spiridonov, Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev, Raghavendra Jana
期刊名稱Mathematics
出版年份2020
月份6
卷號8
期次6
出版社MDPI
文章號碼904
國際標準期刊號2227-7390
電子國際標準期刊號2227-7390
語言美式英語

上次更新時間 2020-14-09 於 00:15