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    An Experimenting Field Approach for the Numerical Solution of Multiphase Flow in Porous Media

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    2P_Immiscible-GW-r1-Archive.pdf
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    Description:
    Accepted Manuscript
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    Type
    Article
    Authors
    Salama, Amgad cc
    Sun, Shuyu cc
    Bao, Kai
    KAUST Department
    Computational Transport Phenomena Lab
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2015-07-14
    Online Publication Date
    2015-07-14
    Print Publication Date
    2016-03
    Permanent link to this record
    http://hdl.handle.net/10754/579849
    
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    Abstract
    In this work, we apply the experimenting pressure field technique to the problem of the flow of two or more immiscible phases in porous media. In this technique, a set of predefined pressure fields are introduced to the governing partial differential equations. This implies that the velocity vector field and the divergence at each cell of the solution mesh can be determined. However, since none of these fields is the true pressure field entailed by the boundary conditions and/or the source terms, the divergence at each cell will not be the correct one. Rather the residue which is the difference between the true divergence and the calculated one is obtained. These fields are designed such that these residuals are used to construct the matrix of coefficients of the pressure equation and the right-hand side. The experimenting pressure fields are generated in the solver routine and are fed to the different routines, which may be called physics routines, which return to the solver the elements of the matrix of coefficients. Therefore, this methodology separates the solver routines from the physics routines and therefore results in simpler, easy to construct, maintain, and update algorithms.
    Citation
    An Experimenting Field Approach for the Numerical Solution of Multiphase Flow in Porous Media 2015:n/a Groundwater
    Publisher
    Wiley
    Journal
    Groundwater
    DOI
    10.1111/gwat.12353
    PubMed ID
    26171913
    Additional Links
    http://doi.wiley.com/10.1111/gwat.12353
    ae974a485f413a2113503eed53cd6c53
    10.1111/gwat.12353
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

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