4.5 Article

Multi-level adaptive simulation of transient two-phase flow in heterogeneous porous media

Journal

COMPUTERS & FLUIDS
Volume 39, Issue 9, Pages 1585-1596

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compfluid.2010.05.011

Keywords

Two-phase flow; Heterogeneous porous media; Adaptive mesh refinement; Stabilized finite element method

Funding

  1. Canada Research Chairs Program
  2. MITACS Network of Centres of Excellence
  3. King Abdullah University of Science and Technology [KUS-C1-016-04]
  4. Alfred P. Sloan Research Fellowship

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An implicit pressure and explicit saturation (IMPES) finite element method (FEM) incorporating a multi-level shock-type adaptive refinement technique is presented and applied to investigate transient two-phase flow in porous media. Local adaptive mesh refinement is implemented seamlessly with state-of-the-art artificial diffusion stabilization allowing simulations that achieve both high resolution and high accuracy. Two benchmark problems, modelling a single crack and a random porous medium, are used to demonstrate the robustness of the method and illustrate the capabilities of the adaptive refinement technique in resolving the saturation field and the complex interaction (transport phenomena) between two fluids in heterogeneous media. (C) 2010 Elsevier Ltd. All rights reserved.

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