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dc.contributor.authorSalama, Amgad
dc.contributor.authorSun, Shuyu
dc.contributor.authorWheeler, Mary Fanett
dc.date.accessioned2015-08-03T12:07:45Z
dc.date.available2015-08-03T12:07:45Z
dc.date.issued2014-09
dc.identifier.citationSalama, A., Sun, S., & Wheeler, M. F. (2014). Solving global problem by considering multitude of local problems: Application to fluid flow in anisotropic porous media using the multipoint flux approximation. Journal of Computational and Applied Mathematics, 267, 117–130. doi:10.1016/j.cam.2014.01.016
dc.identifier.issn03770427
dc.identifier.doi10.1016/j.cam.2014.01.016
dc.identifier.urihttp://hdl.handle.net/10754/563721
dc.description.abstractIn this work we apply the experimenting pressure field approach to the numerical solution of the single phase flow problem in anisotropic porous media using the multipoint flux approximation. We apply this method to the problem of flow in saturated anisotropic porous media. In anisotropic media the component flux representation requires, generally multiple pressure values in neighboring cells (e.g., six pressure values of the neighboring cells is required in two-dimensional rectangular meshes). This apparently results in the need for a nine points stencil for the discretized pressure equation (27 points stencil in three-dimensional rectangular mesh). The coefficients associated with the discretized pressure equation are complex and require longer expressions which make their implementation prone to errors. In the experimenting pressure field technique, the matrix of coefficients is generated automatically within the solver. A set of predefined pressure fields is operated on the domain through which the velocity field is obtained. Apparently such velocity fields do not satisfy the mass conservation equations entailed by the source/sink term and boundary conditions from which the residual is calculated. In this method the experimenting pressure fields are designed such that the residual reduces to the coefficients of the pressure equation matrix. © 2014 Elsevier B.V. All rights reserved.
dc.publisherElsevier BV
dc.subjectAnisotropic porous media
dc.subjectCell-centered finite differences
dc.subjectExperimenting pressure field technique
dc.subjectMulti point flux approximation
dc.titleSolving global problem by considering multitude of local problems: Application to fluid flow in anisotropic porous media using the multipoint flux approximation
dc.typeArticle
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalJournal of Computational and Applied Mathematics
dc.contributor.institutionCenter for Subsurface Modeling, Institute for Computational Engineering and Sciences, University of Texas at Austin, 201 E 24th Street, Austin, TX 78712, United States
kaust.personSalama, Amgad
kaust.personSun, Shuyu


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