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Stable element-free Galerkin solution procedures for the coupled soil-pore fluid problem
Alternative TitleInt. J. Numer. Methods Eng.
Hua, Leina1,2
2011-05-27
Source PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN0029-5981
Volume86Issue:8Pages:1000-1026
AbstractIt is always difficult to solve the coupled soil-pore fluid problem when the soil is saturated and impermeable, because this situation often results in intensive oscillations of the solutions. This topic has been discussed widely in the field of the finite element method but rarely by meshless methods. The Element-Free Galerkin (EFG) method has outstanding advantages of solving this problem, based on the fact that its interpolation function can be constructed flexibly by the nodes in the compact domain. In this study, an EFG numerical model together with a stabilization technique is proposed to obtain stable solutions, especially for the saturated and impermeable soil. Close agreement between computational results and analytical solutions for one-and two-dimensional examples shows that the proposed numerical model not only provides highly accurate solutions for the saturated soil with relatively high permeability, but also eliminates the oscillations of the solutions very effectively for the saturated and impermeable soil. Furthermore, the influences of the hydraulic anisotropy, a typical property of two-dimensional problems, on the proposed stabilization technique are discussed. It is suggested that the optimal distribution of the nodes of essential variables can be designed, according to the relative importance of the permeability in different directions. Copyright (c) 2010 John Wiley & Sons, Ltd.; It is always difficult to solve the coupled soil-pore fluid problem when the soil is saturated and impermeable, because this situation often results in intensive oscillations of the solutions. This topic has been discussed widely in the field of the finite element method but rarely by meshless methods. The Element-Free Galerkin (EFG) method has outstanding advantages of solving this problem, based on the fact that its interpolation function can be constructed flexibly by the nodes in the compact domain. In this study, an EFG numerical model together with a stabilization technique is proposed to obtain stable solutions, especially for the saturated and impermeable soil. Close agreement between computational results and analytical solutions for one-and two-dimensional examples shows that the proposed numerical model not only provides highly accurate solutions for the saturated soil with relatively high permeability, but also eliminates the oscillations of the solutions very effectively for the saturated and impermeable soil. Furthermore, the influences of the hydraulic anisotropy, a typical property of two-dimensional problems, on the proposed stabilization technique are discussed. It is suggested that the optimal distribution of the nodes of essential variables can be designed, according to the relative importance of the permeability in different directions. Copyright (c) 2010 John Wiley & Sons, Ltd.
KeywordSoil-pore Fluid Interaction Saturated And Impermeable Soil Element-free Galerkin Method Stabilization Technique
SubtypeArticle
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
DOI10.1002/nme.3087
URL查看原文
Indexed BySCI
Language英语
WOS KeywordSATURATED POROUS-MEDIA ; POINT INTERPOLATION METHOD ; ONE-DIMENSIONAL MODELS ; FINITE-ELEMENTS ; DYNAMIC BEHAVIOR ; EFFECTIVE STRESSES ; MIXED FORMULATION ; MESHLESS METHODS ; ELASTIC SOIL ; CONSOLIDATION
WOS Research AreaEngineering ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000289690800004
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Version出版稿
Identifierhttp://ir.ipe.ac.cn/handle/122111/6490
Collection研究所(批量导入)
Affiliation1.Chinese Acad Sci, State Key Lab Multiphase Complex Syst, Inst Proc Engn, Beijing 100190, Peoples R China
2.Tsinghua Univ, Dept Hydraul Engn, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R China
Recommended Citation
GB/T 7714
Hua, Leina. Stable element-free Galerkin solution procedures for the coupled soil-pore fluid problem[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2011,86(8):1000-1026.
APA Hua, Leina.(2011).Stable element-free Galerkin solution procedures for the coupled soil-pore fluid problem.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,86(8),1000-1026.
MLA Hua, Leina."Stable element-free Galerkin solution procedures for the coupled soil-pore fluid problem".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 86.8(2011):1000-1026.
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