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Vers une approche multi-échelle pour l'interaction fluide-structure

Abstract : Predicting the behaviour of structures subjected to loading by a fluid is a current issue of the aviation industry. Composite materials, whose mass ratio is increasing with each new project, have mechanisms of degradation whose characteristic size is less than a tenth of a millimetre. Inspired from Multiscale methods developed in the laboratory for the simulation of structures, we propose a mixed domain decomposition method for the simulation of incompressible flows. The Navier-Stokes equations are written in Eulerian formalism and solved incrementally. The solution at each time step is obtained iteratively by solving problems on the interfaces and sub domains. The non-linearity associated with the convection term is treated at the sub domain level and problems on the interfaces provide verification of all equations of the original problem. We then introduce a global problem posed on all interfaces. This innovative macroscopic problem based on the condition of incompressibility of the flow accelerates the convergence of the iterative strategy. We address finally the coupling with a method of fictitious domain, whose early development has yielded promising results. The proposed methods are implemented in a finite element code and illustrated on two-dimensional examples.
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https://tel.archives-ouvertes.fr/tel-00661195
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Submitted on : Wednesday, January 18, 2012 - 5:09:19 PM
Last modification on : Thursday, December 10, 2020 - 10:59:17 AM
Long-term archiving on: : Monday, November 19, 2012 - 1:55:51 PM

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  • HAL Id : tel-00661195, version 1

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Étienne Vergnault. Vers une approche multi-échelle pour l'interaction fluide-structure. Génie mécanique [physics.class-ph]. École normale supérieure de Cachan - ENS Cachan, 2009. Français. ⟨NNT : 2009DENS0061⟩. ⟨tel-00661195⟩

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