Linear stability analysis in fluid-structure interaction with transpiration. Part II: numerical analysis and applications

Abstract : We address the problem of flutter analysis of a coupled fluid-structure system involving an incompressible Newtonian fluid and a reduced structure. We use the Linearization Principle approach developed in Part I, particularly suited for fluid-structure problems involving moving boundaries. Thus, the stability analysis is reduced to the computation of the leftmost eigenvalu- es of a coupled eigenproblem of minimal complexity. The coupling is realized through specific transpiration interface conditions. The eigenproblem is discretized using a finite element approximation and its smallest real part eigenvalues are computed by combining a generalized Cayley transform and an Implicit Restarted Arnoldi Method. The numerical results are compared to former approaches and experimental data. The quality of these numerical results is very satisfactory and promising.
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https://hal.inria.fr/inria-00072017
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Submitted on : Tuesday, May 23, 2006 - 7:34:35 PM
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Miguel Angel Fernández, Patrick Le Tallec. Linear stability analysis in fluid-structure interaction with transpiration. Part II: numerical analysis and applications. [Research Report] RR-4571, INRIA. 2002. ⟨inria-00072017⟩

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