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A LEVEL SET METHOD FOR FLUID-STRUCTURE INTERACTIONS WITH IMMERSED SURFACES

GEORGES-HENRI COTTET

LMC-IMAG, Université Joseph Fourier, BP 53, 38041 Grenoble Cedex 9, France

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and

EMMANUEL MAITRE

LMC-IMAG, Université Joseph Fourier, BP 53, 38041 Grenoble Cedex 9, France

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https://doi.org/10.1142/S0218202506001212Cited by:70 (Source: Crossref)

Abstract

This paper is devoted to the derivation and the validation of a level set method for fluid-structure interaction problems with immersed surfaces. The test case of a pressurized membrane is used to compare our method to Peskin's Immersed Boundary methods in the two-dimensional case and to demonstrate its capabilities for three-dimensional flows. The method in particular exhibits appealing mass and energy conservation properties.

Keywords:

AMSC: 74F10, 76D05, 65M06

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