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A new spectral problem in fluid-structure interaction with transpiration

By Miguel Angel Fernández and Patrick Le Tallec

Abstract

International audienceThe aim of this Note is to provide a rigorous mathematical treatment of a new spectral problem, coming from a linear stability analysis in fluid-structure interaction. This eigenproblem involves the linearized incompressible Navier-Stokes equations coupled with those of a reduced structure, by means of specific transpiration boundary conditions. We prove that the eigensolutions of this spectral problem can be obtained from the characteristic values of a compact operator acting on a Hilbert space.Dans cette Note on caractérise les valeurs et vecteurs propres d'un nouveau problème spectral couplant les équations de Navier-Stokes incompressibles linéarisées et celles d'une structure réduite, par le moyen des conditions de type transpiration, et issu de l'analyse de stabilité de systèmes en interaction fluide-structure. Notre approche s'appuie sur la définition d'un opérateur compact particulier agissant dans un espace de Hilbert

Topics: [ INFO ] Computer Science [cs]
Publisher: Elsevier Masson
Year: 2002
DOI identifier: 10.1016/S1631-073X(02)02236-7
OAI identifier: oai:HAL:hal-00705120v1
Provided by: Hal-Diderot
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