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An upstream finite element method for solution of transient transport equation in fractured porous media
Author(s) -
Noorishad Jahan,
Mehran Mohsen
Publication year - 1982
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr018i003p00588
Subject(s) - porous medium , finite element method , transient (computer programming) , mechanics , transient flow , representation (politics) , convection–diffusion equation , convection , extended finite element method , point (geometry) , fracture (geology) , porosity , materials science , mathematics , geotechnical engineering , geology , physics , structural engineering , geometry , computer science , engineering , meteorology , law , surge , politics , political science , operating system
A finite element method for the solution of two‐dimensional transient dispersive‐convective transport of nonconservative solute species in fractured porous media is presented. A two‐nodal point one‐dimensional transport element for fractures is developed which provides a number of advantages relative to conventional fracture representation by two‐dimensional continuum elements. To eliminate the oscillatory behavior of convective‐dominated transport which is a more likely occurrence in fracture, a very efficient one‐dimensional upstreaming method along with a two‐dimensional method is implemented. Validity of the numerical scheme is established by comparison with existing one‐ and two‐dimensional analytic solutions.