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

Handle URI:
http://hdl.handle.net/10754/552527
Title:
A finite difference, multipoint flux numerical approach to flow in porous media: Numerical examples
Authors:
Osman, Hossam Omar; Salama, Amgad ( 0000-0002-4463-1010 ) ; Sun, Shuyu ( 0000-0002-3078-864X ) ; Bao, Kai
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.
KAUST Department:
Computational Transport Phenomena Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
AIP Conference Proceedings 1453 , 217 (2012); doi: 10.1063/1.4711178
Publisher:
AIP Publishing
Issue Date:
17-Jun-2012
DOI:
10.1063/1.4711178
Type:
Article
Additional Links:
http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4711178
Appears in Collections:
Articles; Computational Transport Phenomena Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorOsman, Hossam Omaren
dc.contributor.authorSalama, Amgaden
dc.contributor.authorSun, Shuyuen
dc.contributor.authorBao, Kaien
dc.date.accessioned2015-05-10T14:19:55Zen
dc.date.available2015-05-10T14:19:55Zen
dc.date.issued2012-06-17en
dc.identifier.citationAIP Conference Proceedings 1453 , 217 (2012); doi: 10.1063/1.4711178en
dc.identifier.doi10.1063/1.4711178en
dc.identifier.urihttp://hdl.handle.net/10754/552527en
dc.description.abstractIt 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.en
dc.publisherAIP Publishingen
dc.relation.urlhttp://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4711178en
dc.rightsArchived with thanks to AIP Conference Proceedingsen
dc.titleA finite difference, multipoint flux numerical approach to flow in porous media: Numerical examplesen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorSalama, Amgaden
kaust.authorSun, Shuyuen
kaust.authorBao, Kaien
kaust.authorOsman, Hossam Omaren
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