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Numerical simulation on a fixed mesh for the feedback stabilization of a fluid–structure interaction system with a structure given by a finite number of parameters

Delay, Guillaume and Ervedoza, Sylvain and Fournié, Michel and Haine, Ghislain Numerical simulation on a fixed mesh for the feedback stabilization of a fluid–structure interaction system with a structure given by a finite number of parameters. (2018) In: IUTAM Symposium on Critical flow dynamics involving moving/deformable structures with design applications, 18 June 2018 - 22 June 2018 (Santorini, Greece).

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Abstract

We study the numerical approximation of a 2d fluid–structure interaction problem stabilizing the fluid flow around an unstable stationary solution in presence of boundary perturbations. The structure is governed by a finite number of parameters and a feedback control law acts on their accelerations. The existence of strong solutions and the stabilization of this fluid–structure system were recently studied in [3]. The present work is dedicated to the numerical simulation of the problem using a fictitious domain method based on extended Finite Element [4]. The originality of the present work is to propose efficient numerical tools that can be extended in a simple manner to any fluid-structure control simulation. Numerical tests are given and the stabilization at an exponential decay rate is observed for small enough initial perturbations.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: Ghislain Haine
Deposited On:12 Oct 2018 12:47

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