MODELING UNCONFINED SEEPAGE FLOW USING THREE- DIMENSIONAL NUMERICAL MANIFOLD METHOD-中国Betway体育网页登陆

摘要 Three-dimensionalnumericalmanifoldmethodforunconfinedseepageanalysisisproposedinthisarticle.Byconstructinghydraulicpotentialfunctionsofthemanifoldelement,theelementconductivitymatrixandtheglobalsimultaneousequationsforunconfinedseepageanalysisarederivedindetail.Thealgorithmoflocatingthefreesurfaceandtheformulaforseepageforcesarealsogiven.Three-dimensionalmanifoldmethodemploysthetetrahedralmathematicalmeshestocoverthewholematerialvolume.Intheiterativeprocessforlocatingthefreesurface,themanifoldmethodcanachieveanaccurateseepageanalysisofthesaturateddomainbelowthefreesurfacewithmathematicalmeshesunchanged.Sincetheshapeofmanifoldelementscanbearbitrary,thedisadvantageofchangingthepermeabilityoftransitionalelementscutbythefreesurfaceintheconventionalFiniteElementMethod(FEM)isremoved,andtheaccuracyoflocatingthefreesurfacecanbeensured.Furthermore,theseepageforceactingonthetransitionalelementscanbeaccuratelycalculatedbythesimplexintegration.Numericalresultsforatypicalexampledemonstratethevalidityoftheproposedmethod.

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MODELING UNCONFINED SEEPAGE FLOW USING THREE- DIMENSIONAL NUMERICAL MANIFOLD METHOD

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