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An Oscillation-Free Finite Volume Method for Poroelasticity

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Numerical Mathematics and Advanced Applications ENUMATH 2017 (ENUMATH 2017)

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 126))

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Abstract

Biot’s equations of poroelasticity are numerically solved by an Element-based Finite Volume Method (EbFVM). A stabilization technique is advanced to avoid spurious pressure modes in the vicinity of undrained conditions. Classical benchmark problems and more realistic 3D test cases are addressed. The results show that the proposed stabilization is able to eliminate the pressure instabilities preserving the solution accuracy.

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Acknowledgements

This work has been developed within the international cooperation activities sponsored by the Science without Border Program of CNPq/Brazil.

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Authors and Affiliations

  1. University of Padova, Department of ICEA, Padova, Italy

    Massimiliano Ferronato & Carlo Janna

  2. Federal University of Santa Catarina, Florianopolis, Brazil

    Herminio T. Honorio & Clovis R. Maliska

Authors
  1. Massimiliano Ferronato
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  2. Herminio T. Honorio
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  3. Carlo Janna
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  4. Clovis R. Maliska
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Corresponding author

Correspondence to Massimiliano Ferronato .

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Editors and Affiliations

  1. University of Bergen, Bergen, Norway

    Florin Adrian Radu

  2. University of Bergen, Bergen, Norway

    Kundan Kumar

  3. University of Bergen, Bergen, Norway

    Inga Berre

  4. University of Bergen, Bergen, Norway

    Jan Martin Nordbotten

  5. Hasselt University, Diepenbeek, Belgium

    Iuliu Sorin Pop

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Ferronato, M., Honorio, H.T., Janna, C., Maliska, C.R. (2019). An Oscillation-Free Finite Volume Method for Poroelasticity. In: Radu, F., Kumar, K., Berre, I., Nordbotten, J., Pop, I. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2017. ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-319-96415-7_73

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