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NUMERICAL METHODS FOR MISCIBLE DISPLACEMENT IN POROUS MEDIA INFLUENCED BY MOBILE WATER AND IMMOBILE WATER
作者姓名:崔明  梁栋
作者单位:Deptartment of Mathematics,Deptartment of Mathematics and Statistics Shandong University,Jinan 250100,PRC,York University,4700 Keele St Toronto,Ontario,M3J1P3,Canada
基金项目:ThisresearchwassupportedbyNationalNaturalScienceFoundation .
摘    要:1 IntroductionInrecentyears,theintentionaloraccidentalreleaseofthechemicalwastesonsoilshasfurtherstimulatedcurrentinterestsinthemovementofchemicals.Displacementstudieshavebecomeimportanttoolsinsoilphysics,particularlyforpredictingthemovementofpestcides…


NUMERICAL METHODS FOR MISCIBLE DISPLACEMENT IN POROUS MEDIA INFLUENCED BY MOBILE WATER AND IMMOBILE WATER
Cui Ming Liang Dong Deptartment of Mathematics,Shandong University,Jinan ,PRC. Liang Dong Deptartment of Mathematics and Statistics,York University, Keele St Toronto,Ontario,MJP,Canada..NUMERICAL METHODS FOR MISCIBLE DISPLACEMENT IN POROUS MEDIA INFLUENCED BY MOBILE WATER AND IMMOBILE WATER[J].Numerical Mathematics A Journal of Chinese Universities English Series,2002,11(2):149-160.
Authors:Cui Ming Liang Dong Deptartment of Mathematics  Shandong University  Jinan  PRC Liang Dong Deptartment of Mathematics and Statistics  York University  Keele St Toronto  Ontario  MJP  Canada
Institution:1. Deptartment of Mathematics, Shandong University, Jinan 250100, PRC
2. Deptartment of Mathematics and Statistics, York University, 4700 Keele St Toronto, Ontario, M3J1P3, Canada
Abstract:The numerical methods for miscible displacment in aggregated or sorbing medium are considered. A mixed finite element method is adopted for the pressure equation. The concentration in the mobile water is approximated by a combination of a Galerkin finite element method and the method of characteristics and the concentration in immobile water is approximated by a standard Galerkin method. The moving mesh technique which depends on time t is adopted here. The moving meshes can vary in different spacial domains with different variable times. Optima error estimates in energy norm and L2 norm are obtained under certain constraints.
Keywords:moving mesh  finite element method  error estimate  
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