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Simulating finger phenomena in porous media with a moving finite element method
Hu G.2; Zegeling P.A.1
2011-04-20
Source PublicationJournal of Computational Physics
ISSN00219991 10902716
Volume230Issue:8Pages:3249-3263
AbstractThe non-equilibrium Richards equation is solved using a moving finite element method in this paper. The governing equation is discretized spatially with a standard finite element method, and temporally with second-order Runge-Kutta schemes. A strategy of the mesh movement is based on the work by Li et al. [R.Li, T.Tang, P.W. Zhang, A moving mesh finite element algorithm for singular problems in two and three space dimensions, Journal of Computational Physics, 177 (2002) 365-393]. A Beckett and Mackenzie type monitor function is adopted. To obtain high quality meshes around the wetting front, a smoothing method which is based on the diffusive mechanism is used. With the moving mesh technique, high mesh quality and high numerical accuracy are obtained successfully. The numerical convergence and the advantage of the algorithm are demonstrated by a series of numerical experiments. © 2011.
KeywordFinger phenomenon Gravity-driven flow Moving finite element method Non-equilibrium RE Porous medium
DOI10.1016/j.jcp.2011.01.031
URLView the original
Language英語
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Cited Times [WOS]:6   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Utrecht University
2.Michigan State University
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GB/T 7714
Hu G.,Zegeling P.A.. Simulating finger phenomena in porous media with a moving finite element method[J]. Journal of Computational Physics,2011,230(8):3249-3263.
APA Hu G.,&Zegeling P.A..(2011).Simulating finger phenomena in porous media with a moving finite element method.Journal of Computational Physics,230(8),3249-3263.
MLA Hu G.,et al."Simulating finger phenomena in porous media with a moving finite element method".Journal of Computational Physics 230.8(2011):3249-3263.
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