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H 1 Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 3

Auteurs : Grandmont, Céline (Auteur de la Conférence)
CIRM (Editeur )

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    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

      Langue : Anglais
      Date de publication : 02/08/15
      Date de captation : 23/07/15
      Collection : Research talks ; Partial Differential Equations ; Mathematical Physics
      Format : quicktime ; audio/x-aac
      Durée : 01:30:10
      Domaine : Numerical Analysis & Scientific Computing ; Mathematical Physics ; PDE
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2015-07-21_Grandmont_part3.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 Congrès : http://conferences.cirm-math.fr/1278.html

    Citation Data

    DOI : 10.24350/CIRM.V.18801703
    Cite this video as: Grandmont, Céline (2015). Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 3. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18801703
    URI : http://dx.doi.org/10.24350/CIRM.V.18801703


    Voir aussi

    Bibliographie

    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

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