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Rapport (Rapport De Recherche) Année : 2002

Linear stability analysis in fluid-structure interaction with transpiration. Part I: formulation and mathematical analysis

Résumé

The aim of this work is to provide a new Linearization Principle approach particularly suited for problems in fluid-structure stability. The complexity here, and the main difference with respect to the classical approach, comes from the fact that the full non-linear fluid equations are written in a moving (i.e. time dependent) domain. The underlying idea of our approach comes from the linearization-transpiration method developed in [11,12]. This allows us to obtain a new coupled spectral problem involving the linearized Navier-Stokes equations and those of a reduced linear structure. The coupling is realized through specific transpiration conditions on a fixed interface, while keeping a fixed fluid domain. Finally, we provide a first rigorous mathematical treatment of this eigenproblem.
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Dates et versions

inria-00072018 , version 1 (23-05-2006)

Identifiants

  • HAL Id : inria-00072018 , version 1

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Miguel Angel Fernández, Patrick Le Tallec. Linear stability analysis in fluid-structure interaction with transpiration. Part I: formulation and mathematical analysis. [Research Report] RR-4570, INRIA. 2002. ⟨inria-00072018⟩
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