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Combining the Hybrid Mimetic Mixed Method and the Eulerian Lagrangian Localised Adjoint Method for Approximating Miscible Flows in Porous Media

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Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems (FVCA 2017)

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Abstract

We design a numerical scheme for a miscible displacement in porous media. This scheme is based on the Hybrid Mimetic Mixed method, which is applicable on generic meshes, and uses a characteristic method for dealing with the advection.

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Acknowledgements

This work was supported by the ARC DP scheme (project DP170100605).

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Authors and Affiliations

  1. School of Mathematical Sciences, Monash University, Victoria, 3800, Australia

    Hanz Martin Cheng & Jérôme Droniou

Authors
  1. Hanz Martin Cheng
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  2. Jérôme Droniou
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Corresponding author

Correspondence to Hanz Martin Cheng .

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Editors and Affiliations

  1. Equipe RAPSODI, Inria Lille - Nord Europe, Villeneuve-d’Ascq, France

    Clément Cancès

  2. Commissariat à l'énergie atomique et aux énergies alternatives, Centre de Saclay, Gif-sur-Yvette, France

    Pascal Omnes

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Cheng, H.M., Droniou, J. (2017). Combining the Hybrid Mimetic Mixed Method and the Eulerian Lagrangian Localised Adjoint Method for Approximating Miscible Flows in Porous Media. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-57394-6_39

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