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Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 1

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Post-edited
Auteurs : Grandmont, Céline (Auteur de la conférence)
CIRM (Editeur )

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examples of fluid interaction problems physical assumptions fluid structure coupled system boundary conditions energy estimates transport theorem weak formulation difficulties of fluid-structure interaction mathematical and numerical analysis

Résumé : Many physical phenomena deal with a fluid interacting with a moving rigid or deformable structure. These kinds of problems have a lot of important applications, for instance, in aeroelasticity, biomechanics, hydroelasticity, sedimentation, etc. From the analytical point of view as well as from the numerical point of view they have been studied extensively over the past years. We will mainly focus on viscous fluid interacting with an elastic structure. The purpose of the present lecture is to present an overview of some of the mathematical and numerical difficulties that may be encountered when dealing with fluid–structure interaction problems such as the geometrical nonlinearities or the added mass effect and how one can deal with these difficulties.

Codes MSC :
74F10 - Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74S05 - Finite element methods in solid mechanics
76D05 - Navier-Stokes equations (fluid dynamics)
76M10 - Finite element methods

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de Publication : 02/08/15
    Date de Captation : 21/07/15
    Collection : Exposés de recherche
    Sous Collection : Research talks
    Catégorie arXiv : Analysis of PDEs ; Mathematical Physics
    Domaine(s) : Physique Mathématique ; Analyse Numérique & Calcul Formel ; EDP
    Format : QuickTime (.mov) Durée : 01:21:47
    Audience : Chercheurs
    Download : https://videos.cirm-math.fr/2015-07-21_Grandmont_part1.mp4

Informations sur la Rencontre

Nom de la Rencontre : CEMRACS: Coupling multi-physics models involving fluids / CEMRACS : Couplage de modèles multi-physiques impliquant les fluides
Organisateurs de la Rencontre : Frénod, Emmanuel ; Maitre, Emmanuel ; Rousseau, Antoine ; Salmon, Stéphanie ; Szopos, Marcela
Dates : 20/07/15 - 28/08/15
Année de la rencontre : 2015
URL de la Rencontre : http://conferences.cirm-math.fr/1278.html

Données de citation

DOI : 10.24350/CIRM.V.18801003
Citer cette vidéo: Grandmont, Céline (2015). Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18801003
URI : http://dx.doi.org/10.24350/CIRM.V.18801003

Voir Aussi

Bibliographie

  • [1] Fernández, M.A. (2011). Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit. SeMA Journal, 55, 59-108 - http://dx.doi.org/10.1007/BF03322593

  • [2] Grandmont, C., Lukácová-Medvid'ová, M., & Necasová, S. (2014). Mathematical and numerical analysis of some FSI problems. Fluid-Structure interaction and biomedical applications, 1-77 - http://dx.doi.org/10.1007/978-3-0348-0822-4_1



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