Transport in Porous Media

, Volume 3, Issue 6, pp 549–562 | Cite as

An adaptive domain decomposition method for simulation of transport in porous media

  • R. E. Hayes
  • P. A. Tanguy


A Galerkin finite element method is used along with a self-adaptive strategy of domain discretisation to model dispersion in an axisymmetric cylindrical porous medium. A solution strategy is proposed based on the use of a Gear scheme for the time stepping and partial vectorisation of the code. The domain is highly discretised in the area of the sharp transient front, while the remainder is coarsely discretised. The area covered by the fine mesh is determined by the value of the local concentration gradients. Numerical results are presented for the one and two dimensional cases.

Key words

Adaptive mesh finite element method dispersion 



Longitudinal dispersivity


Transverse dispersivity


Global matrix




Dispersion coefficient


Diffusion coefficient


Solicitation vector


Solicitation vector


Finite element length




Global matrix of coefficients


Mass matrix


Outward pointing normal vector




Peclet number




Interstitial velocity

Greek Symbols




Test function




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Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • R. E. Hayes
    • 1
  • P. A. Tanguy
    • 2
  1. 1.Department of Chemical EngineeringUniversity of AlbertaEdmontonCanada
  2. 2.Département de génie chimiqueUniversité LavalQuébecCanada

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