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H 2 Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 1

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 : Research talks
    Format : QuickTime (.mov) Durée : 01:21:47
    Domaine : Mathematical Physics ; Numerical Analysis & Scientific Computing ; PDE
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2015-07-21_Grandmont_part1.mp4

Informations sur la rencontre

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

Citation Data

DOI : 10.24350/CIRM.V.18801003
Cite this video as: 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


  1. [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. [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