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

Erik Burman 1 Miguel Angel Fernández 2
2 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
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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https://hal.inria.fr/hal-00918272
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Submitted on : Monday, April 28, 2014 - 11:07:57 PM
Last modification on : Friday, March 27, 2020 - 3:33:39 AM
Long-term archiving on: : Monday, July 28, 2014 - 12:22:24 PM

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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, Elsevier, 2014, 279, pp.497-514. ⟨10.1016/j.cma.2014.07.007⟩. ⟨hal-00918272v3⟩

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