Stabilized mixed finite element method for transient darcy flow

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

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Darcy flow is a steady-state model for laminar flow of a fluid through a porous medium. The present work proposes an extended model of laminar Darcy flow by introducing dynamic pressure and velocity to the classical formulation. The solution of the proposed time-space model is attained by discretizing the problem with a stabilized mixed Galerkin method in space and a forward Euler method in time. The resulting matrix equation is well-posed and is solved using the conjugate gradient (CG) method. The error analysis of the numerical solutions confirms convergence to the actual model.

Original languageEnglish
Pages (from-to)85-97
Number of pages13
JournalTransactions of the Canadian Society for Mechanical Engineering
Volume41
Issue number1
DOIs
StatePublished - 2017
Externally publishedYes

Keywords

  • Darcy flow
  • Stabilized mixed method
  • Transient flow
  • Underground water flow

ASJC Scopus subject areas

  • Mechanical Engineering

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