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Research Article | Open Access

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

Marguerite Champion1, Miguel A. Fernández1( ), Céline Grandmont1,2, Fabien Vergnet1, Marina Vidrascu1
Sorbonne Université, Inria, CNRS, Laboratoire Jacques-Louis Lions (LJLL), Paris, France
Département de Mathématique, Université Libre de Bruxelles, Bruxelles, Belgium
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Abstract

This paper is devoted to the mathematical analysis of the contact capabilities of the fluid-structure 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.

Keywords

fluid-structure interactioncollision paradoxStokes flowDarcy flowNavier boundary conditions

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Mathematics in Engineering
Volume 6 Issue 3,
June 2024
Pages 425-467
DOI: 10.3934/mine.2024018

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Cite this article:
Champion M, Fernández MA, Grandmont C, et al. On the analysis of a mechanically consistent model of fluid-structure-contact interaction. Mathematics in Engineering, 2024, 6(3): 425-467. https://doi.org/10.3934/mine.2024018

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Received: 08 November 2023
Revised: 25 March 2024
Accepted: 04 May 2024
Published: 06 June 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)