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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. (2021) In: Advances in Critical Flow Dynamics Involving Moving/Deformable Structures with Design Applications, Proc. of the IUTAM Symposium on Critical Flow Dynamics involving Moving/Deformable Structures with Design applications, June 18-22, 2018, Santorini, Greece. (Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM)). Springer, 195-211. ISBN 978-3-030-55593-1

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Official URL: https://doi.org/10.1007/978-3-030-55594-8_19

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:Book Section
Additional Information:Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 147)
Audience (conference):International conference proceedings
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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 - UT3 (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited On:12 Oct 2018 12:47

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