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Article Dans Une Revue Mathematics in Engineering Année : 2024

On the analysis of a mechanically consistent model of fluid-structure-contact interaction

Résumé

This paper is devoted to the mathematical analysis of the contact capabilities of the fluidstructure interaction (FSI) model with seepage reported in [Comput. Methods Appl. Mech., 392:114637, 2022]. In the case of a rigid disk moving over a fixed horizontal plane, we show that this model encompasses contact and hence removes the non collision paradox of traditional FSI models which rely on Dirichlet or Dirichlet/Navier boundary conditions. Numerical evidence on the theoretical results is also provided.
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hal-04229012 , version 1 (05-10-2023)

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Marguerite Champion, Miguel Angel Fernández, Céline Grandmont, Fabien Vergnet, Marina Vidrascu. On the analysis of a mechanically consistent model of fluid-structure-contact interaction. Mathematics in Engineering, 2024, 6 (3), pp.425-467. ⟨10.3934/mine.2024018⟩. ⟨hal-04229012⟩
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