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Element‐free Galerkin method for deforming multiphase porous media
Author(s) -
Modaressi Hormoz,
Aubert Philippe
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19980530)42:2<313::aid-nme369>3.0.co;2-g
Subject(s) - galerkin method , discontinuity (linguistics) , finite element method , porous medium , wetting , free surface , displacement (psychology) , intersection (aeronautics) , multiphase flow , mathematical analysis , displacement field , mechanics , porosity , mathematics , domain (mathematical analysis) , geometry , materials science , engineering , physics , structural engineering , composite material , psychology , psychotherapist , aerospace engineering
In the proposed element‐free Galerkin method for deforming multiphase porous media, displacement of the porous‐solid skeleton is modelled by standard finite elements while wetting and non‐wetting fluid pore pressures are included as element‐free nodes. The matrix formulation is derived from the variational formulation of the multiphase governing equations. The case of a domain with a material or field discontinuity is handled by using Lagrange multipliers. One‐ and two‐dimensional applications are presented for which the results, compared with those obtained by either the closed‐form solution standard finite‐element approach or experimental tests, show the efficiency of the proposed technique. The necessity of taking air pore pressure into account for partially saturated soils is discussed: free surface capturing is analysed and the problem of its intersection with outer boundaries (so‐called seepage surface) is studied. © 1998 John Wiley & Sons, Ltd.