English
Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 1
Post-edited
Auteurs : Grandmont, Céline (Auteur de la Conférence)
CIRM (Editeur )
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
CIRM (Editeur )
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
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 02/08/15 Date de captation : 21/07/15 Sous collection : Research talks arXiv category : Analysis of PDEs ; Mathematical Physics Domaine : Mathematical Physics ; Numerical Analysis & Scientific Computing ; PDE Format : QuickTime (.mov) Durée : 01:21:47 Audience : Researchers Download : https://videos.cirm-math.fr/2015-07-21_Grandmont_part1.mp4 
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Informations sur la Rencontre
Nom de la rencontre : CEMRACS: Coupling multi-physics models involving fluids / CEMRACS : Couplage de modèles multi-physiques impliquant les fluidesOrganisateurs 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
Données de citation
DOI : 10.24350/CIRM.V.18801003Citer 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
- [Multi angle] Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 4 / Auteur de la Conférence Grandmont, Céline.
- [Multi angle] Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 3 / Auteur de la Conférence Grandmont, Céline.
- [Multi angle] Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 2 / Auteur de la Conférence Grandmont, Céline.
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
