WIAS Preprint No. 1575, (2010)

Numerical methods for the simulation of a corrosion model in a nuclear waste deep repository



Authors

  • Batallion, Christian
  • Bouchon, Francois
  • Chainais-Hillairet, Claire
  • Fuhrmann, Jürgen
    ORCID: 0000-0003-4432-2434
  • Hoarau, Emma
  • Touzani, Rachid

2010 Mathematics Subject Classification

  • 65M08 65M12

2008 Physics and Astronomy Classification Scheme

  • 82.45.Bb

Keywords

  • Corrosion modelling, Drift-diffusion system, Moving boundaries, Adaptive time stepping

Abstract

In this paper, we design numerical methods for a PDE system arising in corrosion modelling. This system describes the evolution of a dense oxide layer. It is based on a drift-diffusion system and includes moving boundary equations. The choice of the numerical methods is justified by a stability analysis and by the study of their numerical performance. Finally, numerical experiments with real-life data shows the efficiency of the developed methods.

Appeared in

  • J. Comput. Phys., (2012) pp. 6213--6231.

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