Transport in Porous Media

, Volume 32, Issue 1, pp 75–95 | Cite as

A Least-Squares Mixed Scheme for the Simulation of Two-Phase Flow in Porous Media on Unstructured Grids

  • Deepankar Biswas
  • Graham F. Carey


A least-squares mixed formulation is developed for simulation of two-phase flow in porous media. Such problems arise in petroleum applications and ground-water flow. An adaptive strategy based on the element residual as an error indicator is developed in conjunction with unstructured remeshing and tested for the two-phase flow of oil and water. An element-by-element conjugate-gradient scheme (EBE-CG) is compared to a band solution algorithm.

least squares finite elements adaptive mesh conjugate-gradient scheme 


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Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • Deepankar Biswas
    • 1
  • Graham F. Carey
    • 1
  1. 1.University of Texas at AustinAustinU.S.A.

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