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Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2014

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

Erik Burman
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Abstract

We 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.
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Dates and versions

hal-00918272 , version 1 (13-12-2013)
hal-00918272 , version 2 (20-12-2013)
hal-00918272 , version 3 (28-04-2014)

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Erik Burman, Miguel Angel Fernández. An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes. Computer Methods in Applied Mechanics and Engineering, 2014, 279, pp.497-514. ⟨10.1016/j.cma.2014.07.007⟩. ⟨hal-00918272v3⟩
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