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Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 1
Post-edited
Authors : Grandmont, Céline (Author of the conference)
CIRM (Publisher )
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 (Publisher )
Abstract :
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.
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 02/08/15 Conference Date : 21/07/15 Subseries : Research talks arXiv category : Analysis of PDEs ; Mathematical Physics Mathematical Area(s) : Mathematical Physics ; Numerical Analysis & Scientific Computing ; PDE Format : QuickTime (.mov) Video Time : 01:21:47 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-07-21_Grandmont_part1.mp4 
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Information on the Event
Event Title : CEMRACS: Coupling multi-physics models involving fluids / CEMRACS : Couplage de modèles multi-physiques impliquant les fluidesEvent Organizers : Frénod, Emmanuel ; Maitre, Emmanuel ; Rousseau, Antoine ; Salmon, Stéphanie ; Szopos, Marcela Dates : 20/07/15 - 28/08/15 Event Year : 2015 Event URL : http://conferences.cirm-math.fr/1278.html
Citation Data
DOI : 10.24350/CIRM.V.18801003Cite 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 |
See Also
- [Multi angle] Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 4 / Author of the conference Grandmont, Céline.
- [Multi angle] Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 3 / Author of the conference Grandmont, Céline.
- [Multi angle] Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 2 / Author of the conference Grandmont, Céline.
Bibliography
- [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
