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2015 13th International Conference on Frontiers of Information Technology (FIT) (2015)
Islamabad, Pakistan
Dec. 14, 2015 to Dec. 16, 2015
ISBN: 978-1-4673-9665-3
pp: 104-108
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.
INDEX TERMS
Finite element analysis, Mathematical model, Method of moments, Numerical models, Convergence, Fluids, Computational modeling,Darcy flow, Stabilized mixed method, Galerkin method
CITATION
Shahab U. Ansari, Masroor Hussain, Suleman Mazhar, Ahmar Rashid, S.M. Ahmad, "Three-Dimensional Stabilized Mixed Galerkin Method for Darcy Flow", 2015 13th International Conference on Frontiers of Information Technology (FIT), vol. 00, no. , pp. 104-108, 2015, doi:10.1109/FIT.2015.67
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