An Equation-Type Approach for the Numerical Solution of the Partial Differential Equations Governing Transport Phenomena in Porous Media

Handle URI:
http://hdl.handle.net/10754/552453
Title:
An Equation-Type Approach for the Numerical Solution of the Partial Differential Equations Governing Transport Phenomena in Porous Media
Authors:
Sun, Shuyu ( 0000-0002-3078-864X ) ; Salama, Amgad ( 0000-0002-4463-1010 ) ; El-Amin, Mohamed ( 0000-0002-1099-2299 )
Abstract:
A new technique for the numerical solution of the partial differential equations governing transport phenomena in porous media is introduced. In this technique, the governing equations as depicted from the physics of the problem are used without extra manipulations. In other words, there is no need to reduce the number of governing equations by some sort of mathematical manipulations. This technique enables the separation of the physics part of the problem and the solver part, which makes coding more robust and could be used in several other applications with little or no modifications (e.g., multi-phase flow in porous media). In this method, one abandons the need to construct the coefficient matrix for the pressure equation. Alternatively, the coefficients are automatically generated within the solver routine. We show examples of using this technique to solving several flow problems in porous media.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
An Equation-Type Approach for the Numerical Solution of the Partial Differential Equations Governing Transport Phenomena in Porous Media 2012, 9:661 Procedia Computer Science
Publisher:
Elsevier BV
Journal:
Procedia Computer Science
Conference/Event name:
12th Annual International Conference on Computational Science, ICCS 2012
Issue Date:
2-Jun-2012
DOI:
10.1016/j.procs.2012.04.071
Type:
Conference Paper
ISSN:
18770509
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S1877050912001925
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorSun, Shuyuen
dc.contributor.authorSalama, Amgaden
dc.contributor.authorEl-Amin, Mohameden
dc.date.accessioned2015-05-07T13:52:26Zen
dc.date.available2015-05-07T13:52:26Zen
dc.date.issued2012-06-02en
dc.identifier.citationAn Equation-Type Approach for the Numerical Solution of the Partial Differential Equations Governing Transport Phenomena in Porous Media 2012, 9:661 Procedia Computer Scienceen
dc.identifier.issn18770509en
dc.identifier.doi10.1016/j.procs.2012.04.071en
dc.identifier.urihttp://hdl.handle.net/10754/552453en
dc.description.abstractA new technique for the numerical solution of the partial differential equations governing transport phenomena in porous media is introduced. In this technique, the governing equations as depicted from the physics of the problem are used without extra manipulations. In other words, there is no need to reduce the number of governing equations by some sort of mathematical manipulations. This technique enables the separation of the physics part of the problem and the solver part, which makes coding more robust and could be used in several other applications with little or no modifications (e.g., multi-phase flow in porous media). In this method, one abandons the need to construct the coefficient matrix for the pressure equation. Alternatively, the coefficients are automatically generated within the solver routine. We show examples of using this technique to solving several flow problems in porous media.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050912001925en
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectTransport in porous mediaen
dc.subjectNumerical Methodsen
dc.subjectFinite differenceen
dc.subjectEquation Approachen
dc.titleAn Equation-Type Approach for the Numerical Solution of the Partial Differential Equations Governing Transport Phenomena in Porous Mediaen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalProcedia Computer Scienceen
dc.conference.date2012-06-04 to 2012-06-06en
dc.conference.name12th Annual International Conference on Computational Science, ICCS 2012en
dc.conference.locationOmaha, NB, USAen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionNuclear Research Center, AEA,Cairo 13759, Egypten
dc.contributor.institutionAswan Faculty of Science, South Valley University, Aswan 81528, Egypten
kaust.authorSun, Shuyuen
kaust.authorSalama, Amgaden
kaust.authorEl-Amin, Mohameden
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