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

Georges-Henri Cottet; Emmanuel Maitre; Thomas Milcent

ESAIM: Mathematical Modelling and Numerical Analysis (2008)

- Volume: 42, Issue: 3, page 471-492
- ISSN: 0764-583X

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topCottet, Georges-Henri, Maitre, Emmanuel, and Milcent, Thomas. "Eulerian formulation and level set models for incompressible fluid-structure interaction." ESAIM: Mathematical Modelling and Numerical Analysis 42.3 (2008): 471-492. <http://eudml.org/doc/250347>.

@article{Cottet2008,

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. },

author = {Cottet, Georges-Henri, Maitre, Emmanuel, Milcent, Thomas},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Fluid structure interaction; elastic membrane; Eulerian method; level set method; Korteweg fluid; Navier-Stokes equations.; Navier-Stokes equations},

language = {eng},

month = {4},

number = {3},

pages = {471-492},

publisher = {EDP Sciences},

title = {Eulerian formulation and level set models for incompressible fluid-structure interaction},

url = {http://eudml.org/doc/250347},

volume = {42},

year = {2008},

}

TY - JOUR

AU - Cottet, Georges-Henri

AU - Maitre, Emmanuel

AU - Milcent, Thomas

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2008/4//

PB - EDP Sciences

VL - 42

IS - 3

SP - 471

EP - 492

AB - 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.

LA - eng

KW - Fluid structure interaction; elastic membrane; Eulerian method; level set method; Korteweg fluid; Navier-Stokes equations.; Navier-Stokes equations

UR - http://eudml.org/doc/250347

ER -

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