Modèles simplifiés d'interaction fluide-structure

Abstract : The aim of this work is the linear stability analysis of fluid-structure interaction systems. We have developed a linearization method that allow us to derive mathematically the so-called transpiration interface conditions, and to provide a linear fluid-structure interaction problem involving this kind of interface conditions. This tool has been applied to a ``Linearisation Principle'' approach. Then, the linear stability problem can be reduced to the analysis of a coupled spectral problem. We prove that its eigenvalues can be obtained as the characteristic values of a specific compact operator. We propose a finite element discretization for this spectral problem leading to a generalised eigenvalue problem. The numerical computation of the smallest real part eigenvalues is performed by combining a IRAM (Implicit Restarted Arnoldi Method) and a generalised Cayley transform. The numerical results point out the robustness of the proposed linearization-transpiration approach for the instabilities detection in fluid-structure interaction systems.
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https://tel.archives-ouvertes.fr/tel-00001954
Contributor : Miguel Angel Fernandez <>
Submitted on : Saturday, November 9, 2002 - 1:04:50 PM
Last modification on : Thursday, January 11, 2018 - 6:12:20 AM
Long-term archiving on : Tuesday, September 11, 2012 - 6:30:16 PM

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  • HAL Id : tel-00001954, version 1

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Miguel Angel Fernández. Modèles simplifiés d'interaction fluide-structure. Modélisation et simulation. Université Paris Dauphine - Paris IX, 2001. Français. ⟨tel-00001954⟩

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