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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.
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Cottet et al. (2006) studied this question.
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