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An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes

By Erik Burman and Miguel Angel Fernández

Abstract

International audienceWe consider the extension of the Nitsche method to the case of fluid-structure interaction problems on unfitted meshes. We give a stability analysis for the space semi-discretized problem and show how this estimate may be used to derive optimal error estimates for smooth solutions, irrespectively of the mesh/interface intersection. We also discuss different strategies for the time discretization, using either fully implicit or explicit coupling (loosely coupled) schemes. Some numerical examples illustrate the theoretical discussion

Topics: fluid-structure interaction, incompressible fluid, unfitted meshes, fictitious domain method, Nitsche method, coupling schemes, [ MATH.MATH-NA ] Mathematics [math]/Numerical Analysis [math.NA]
Publisher: Elsevier
Year: 2014
DOI identifier: 10.1016/j.cma.2014.07.007
OAI identifier: oai:HAL:hal-00918272v3
Provided by: Hal-Diderot

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