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Interaction of an Incompressible Fluid with an Elastic Membrane

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Level Set Methods for Fluid-Structure Interaction

Part of the book series: Applied Mathematical Sciences ((AMS,volume 210))

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Abstract

This chapter defines a first class of level set methods for the interaction of a membrane or an elastic curve, with or without shear elasticity, with a fluid, both in the case of compressible and incompressible flows. It discusses time discretization methods from the point of view of stability and gives examples of algorithms and codes for these systems.

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Notes

  1. 1.

    Korteweg models are often used to describe fluid media subjected to internal capillary forces [94].

  2. 2.

    http://level-set.imag.fr.

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Author information

Authors and Affiliations

  1. Laboratoire Jean Kuntzmann, Université Grenoble Alpes, CNRS, Grenoble-INP*, Grenoble, France

    Georges-Henri Cottet & Emmanuel Maitre

  2. Institut de Mécanique de Bordeaux, Arts et Métiers, Université Bordeaux, CNRS, Bordeaux, France

    Thomas Milcent

Authors
  1. Georges-Henri Cottet
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  2. Emmanuel Maitre
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  3. Thomas Milcent
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Cottet, GH., Maitre, E., Milcent, T. (2022). Interaction of an Incompressible Fluid with an Elastic Membrane. In: Level Set Methods for Fluid-Structure Interaction. Applied Mathematical Sciences, vol 210. Springer, Cham. https://doi.org/10.1007/978-3-031-08659-5_3

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