Three-Dimensional Stabilized Mixed Galerkin Method for Darcy Flow

Shahab U. Ansari, Masroor Hussain, Suleman Mazhar, Ahmar Rashid, S. M. Ahmad

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

Two-dimensional stabilized mixed Galerkin method using self-adjoint residual of the momentum equation (Darcy's law) has been previously implemented. In the present work, we are extending the two-dimensional stabilized model by incorporating the third dimension into the mathematical formulation. This extended stabilized mixed model would be able to accurately simulate more realistic flow of incompressible fluid through porous media. In the experimentation, the media is assumed homogeneous and the flow is considered laminar. The study shows that the numerically computed Darcy pressure and the velocity using hexahedral elements are comparable to the analytical solutions. In addition, the approximations converge to the exact solutions as the size of the elements decreases.

Original languageEnglish
Title of host publicationProceedings - 2015 13th International Conference on Frontiers of Information Technology, FIT 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages104-108
Number of pages5
ISBN (Electronic)9781467396660
DOIs
StatePublished - 26 Feb 2016
Externally publishedYes
Event13th International Conference on Frontiers of Information Technology, FIT 2015 - Islamabad, Pakistan
Duration: 14 Dec 201516 Dec 2015

Publication series

NameProceedings - 2015 13th International Conference on Frontiers of Information Technology, FIT 2015

Conference

Conference13th International Conference on Frontiers of Information Technology, FIT 2015
Country/TerritoryPakistan
CityIslamabad
Period14/12/1516/12/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Keywords

  • Darcy flow
  • Galerkin method
  • Stabilized mixed method

ASJC Scopus subject areas

  • Health Informatics
  • Computer Science Applications
  • Signal Processing

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