Burman, E;
Fernandez, MA;
(2014)
An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
, 279
497 - 514.
10.1016/j.cma.2014.07.007.
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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.
| Type: | Article |
|---|---|
| Title: | An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.cma.2014.07.007 |
| Publisher version: | http://dx.doi.org/10.1016/j.cma.2014.07.007 |
| Additional information: | Copyright © 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license |
| Keywords: | Fluid-structure interaction, Incompressible fluid, Unfitted meshes, Fictitious domain method, Nitsche method, Coupling schemes |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1465054 |
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