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

By Céline Grandmont

Also appears in collection : CEMRACS: Coupling multi-physics models involving fluids / CEMRACS : Couplage de modèles multi-physiques impliquant les fluides

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.

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Citation data

  • DOI 10.24350/CIRM.V.18801703
  • Cite this video Grandmont, Céline (23/07/2015). Mathematical and numerical analysis of some fluid structure interaction problems - Lecture 3. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18801703
  • URL https://dx.doi.org/10.24350/CIRM.V.18801703

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

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