Solving global problem by considering multitude of local problems: Application to fluid flow in anisotropic porous media using the multipoint flux approximation

Handle URI:
http://hdl.handle.net/10754/563721
Title:
Solving global problem by considering multitude of local problems: Application to fluid flow in anisotropic porous media using the multipoint flux approximation
Authors:
Salama, Amgad ( 0000-0002-4463-1010 ) ; Sun, Shuyu ( 0000-0002-3078-864X ) ; Wheeler, Mary Fanett
Abstract:
In 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.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Earth Science and Engineering Program
Publisher:
Elsevier BV
Journal:
Journal of Computational and Applied Mathematics
Issue Date:
Sep-2014
DOI:
10.1016/j.cam.2014.01.016
Type:
Article
ISSN:
03770427
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorSalama, Amgaden
dc.contributor.authorSun, Shuyuen
dc.contributor.authorWheeler, Mary Fanetten
dc.date.accessioned2015-08-03T12:07:45Zen
dc.date.available2015-08-03T12:07:45Zen
dc.date.issued2014-09en
dc.identifier.issn03770427en
dc.identifier.doi10.1016/j.cam.2014.01.016en
dc.identifier.urihttp://hdl.handle.net/10754/563721en
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.en
dc.publisherElsevier BVen
dc.subjectAnisotropic porous mediaen
dc.subjectCell-centered finite differencesen
dc.subjectExperimenting pressure field techniqueen
dc.subjectMulti point flux approximationen
dc.titleSolving global problem by considering multitude of local problems: Application to fluid flow in anisotropic porous media using the multipoint flux approximationen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalJournal of Computational and Applied Mathematicsen
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 Statesen
kaust.authorSalama, Amgaden
kaust.authorSun, Shuyuen
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