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    A finite difference, multipoint flux numerical approach to flow in porous media: Numerical examples

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    Type
    Article
    Authors
    Osman, Hossam Omar
    Salama, Amgad cc
    Sun, Shuyu cc
    Bao, Kai
    KAUST Department
    Computational Transport Phenomena Lab
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2012-05-15
    Online Publication Date
    2012-05-15
    Print Publication Date
    2012
    Permanent link to this record
    http://hdl.handle.net/10754/552527
    
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    Abstract
    It is clear that none of the current available numerical schemes which may be adopted to solve transport phenomena in porous media fulfill all the required robustness conditions. That is while the finite difference methods are the simplest of all, they face several difficulties in complex geometries and anisotropic media. On the other hand, while finite element methods are well suited to complex geometries and can deal with anisotropic media, they are more involved in coding and usually require more execution time. Therefore, in this work we try to combine some features of the finite element technique, namely its ability to work with anisotropic media with the finite difference approach. We reduce the multipoint flux, mixed finite element technique through some quadrature rules to an equivalent cell-centered finite difference approximation. We show examples on using this technique to single-phase flow in anisotropic porous media.
    Citation
    AIP Conference Proceedings 1453 , 217 (2012); doi: 10.1063/1.4711178
    Publisher
    AIP Publishing
    DOI
    10.1063/1.4711178
    Additional Links
    http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4711178
    ae974a485f413a2113503eed53cd6c53
    10.1063/1.4711178
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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