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An Oscillation-Free Finite Volume Method for Poroelasticity

  • Massimiliano FerronatoEmail author
  • Herminio T. Honorio
  • Carlo Janna
  • Clovis R. Maliska
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 126)

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.

Notes

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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Massimiliano Ferronato
    • 1
    Email author
  • Herminio T. Honorio
    • 2
  • Carlo Janna
    • 1
  • Clovis R. Maliska
    • 2
  1. 1.University of PadovaDepartment of ICEAPadovaItaly
  2. 2.Federal University of Santa CatarinaFlorianopolisBrazil

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