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| Authors |
Andre Massing Mats G. Larson Anders Logg Marie E. Rognes |
|---|---|
| Published in | Communications in Applied Mathematics and Computational Science |
| Volume | 10 |
| Issue | 2 |
| Pages | 97-120 |
| ISSN | 1559-3940 |
| Publication year | 2015 |
| Published at |
Department of Mathematical Sciences, Mathematics |
| Pages | 97-120 |
| Language | en |
| Links |
dx.doi.org/10.2140/camcos.2015.10.9... |
| Keywords | fluid-structure interaction, overlapping meshes, cut finite element method, embedded meshes, stabilized finite element methods, Nitsche's method |
| Subject categories | Computational Mathematics |
We present a new composite mesh finite element method for fluid-structure interaction problems. The method is based on surrounding the structure by a boundary-fitted fluid mesh that is embedded into a fixed background fluid mesh. The embedding allows for an arbitrary overlap of the fluid meshes. The coupling between the embedded and background fluid meshes is enforced using a stabilized Nitsche formulation that allows us to establish stability and optimal-order a priori error estimates. We consider here a steady state fluid-structure interaction problem where a hyperelastic structure interacts with a viscous fluid modeled by the Stokes equations. We evaluate an iterative solution procedure based on splitting and present three-dimensional numerical examples.
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