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Finite volume schemes for two-phase flow in porous media

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Computing and Visualization in Science

Abstract

The system of equations obtained from the conservation of multiphasic fluids in porous media is usually approximated by finite volume schemes in the oil reservoir simulation setting. The convergence properties of these schemes are only known in a few simplified cases. The aim of this paper is to present some new results of convergence in more complex cases. These results are based on an adaptation of the H-convergence notion to the limit of discrete approximates.

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Authors and Affiliations

  1. Université de Marne-la-Vallée, 77454, Marne-la-Vallée Cedex, France

    Robert Eymard

  2. CMI, Université de Provence, 13453, Marseille, France

    Thierry Gallouët

Authors
  1. Robert Eymard
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  2. Thierry Gallouët
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Correspondence to Robert Eymard.

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K. Mikula

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Eymard, R., Gallouët, T. Finite volume schemes for two-phase flow in porous media. Comput. Visual Sci. 7, 31–40 (2004). https://doi.org/10.1007/s00791-004-0125-4

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  • DOI: https://doi.org/10.1007/s00791-004-0125-4

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