Numerical Analysis
A level-set formulation of immersed boundary methods for fluid–structure interaction problems
Comptes Rendus. Mathématique, Volume 338 (2004) no. 7, pp. 581-586.

We propose a level set formulation of the immersed boundary method for fluid–structure problems in two and three dimensions. We prove that the resulting model verifies an energy estimate.

On propose dans cette Note une formulation par ensembles de niveau de la méthode de frontière immergée, dans le cadre d'un problème de couplage fluide–structure en dimension deux ou trois. On démontre que le modèle obtenu vérifie une estimation d'énergie.

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DOI: 10.1016/j.crma.2004.01.023
Cottet, Georges-Henri 1; Maitre, Emmanuel 1

1 Laboratoire LMC-IMAG, Université Joseph Fourier, 38041 Grenoble cedex 9, France
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Cottet, Georges-Henri; Maitre, Emmanuel. A level-set formulation of immersed boundary methods for fluid–structure interaction problems. Comptes Rendus. Mathématique, Volume 338 (2004) no. 7, pp. 581-586. doi : 10.1016/j.crma.2004.01.023. http://www.numdam.org/articles/10.1016/j.crma.2004.01.023/

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[2] G.-H. Cottet, E. Maitre, in preparation

[3] G.-H. Cottet, E. Maitre, Ph. Tracqui, in preparation

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