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Characteristic block-centered finite difference method for compressible miscible displacement in porous media

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  • Li, Xiaoli
  • Rui, Hongxing

Abstract

In this paper, the characteristic block-centered finite difference method is introduced and analyzed to solve compressible miscible displacement in porous media. Error estimates for the pressure, velocity, concentration and its flux in different discrete norms are established rigorously and carefully on non-uniform grids. Finally, some numerical experiments are presented to show that the convergence rates are in agreement with the theoretical analysis.

Suggested Citation

  • Li, Xiaoli & Rui, Hongxing, 2017. "Characteristic block-centered finite difference method for compressible miscible displacement in porous media," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 391-407.
    • Handle: RePEc:eee:apmaco:v:314:y:2017:i:c:p:391-407
    DOI: 10.1016/j.amc.2017.07.011
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    References listed on IDEAS

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    1. Li, Xiaoli & Rui, Hongxing, 2016. "A two-grid block-centered finite difference method for nonlinear non-Fickian flow model," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 300-313.
    2. Guo, Hui & Zhang, Qinghua & Wang, Jichao, 2015. "Error analysis of the semi-discrete local discontinuous Galerkin method for compressible miscible displacement problem in porous media," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 88-105.
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    Cited by:

    1. Li, Xiaoli & Rui, Hongxing, 2019. "Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 94-111.

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