Abstract
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.
Citation
André Massing. Mats Larson. Anders Logg. Marie Rognes. "A Nitsche-based cut finite element method for a fluid-structure interaction problem." Commun. Appl. Math. Comput. Sci. 10 (2) 97 - 120, 2015. https://doi.org/10.2140/camcos.2015.10.97
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