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Eulerian formulation and level set models for incompressible fluid-structure interaction

Abstract : This paper is devoted to Eulerian models for incompressible fluid-structure systems. These models are primarily derived for computational purposes as they allow to simulate in a rather straightforward way complex 3D systems. We first analyze the level set model of immersed membranes proposed in [Cottet and Maitre, Math. Models Methods Appl. Sci. 16 (2006) 415-438]. We in particular show that this model can be interpreted as a generalization of so-called Korteweg fluids. We then extend this model to more generic fluid-structure systems. In this framework, assuming anisotropy, the membrane model appears as a formal limit system when the elastic body width vanishes. We finally provide some numerical experiments which illustrate this claim.
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https://hal.archives-ouvertes.fr/hal-00297711
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Submitted on : Friday, July 18, 2008 - 2:58:23 PM
Last modification on : Saturday, March 28, 2020 - 1:14:36 AM
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Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent. Eulerian formulation and level set models for incompressible fluid-structure interaction. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2008, 42 (3), pp.471-492. ⟨10.1051/m2an:2008013⟩. ⟨hal-00297711⟩

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