A Nitsche-Based Cut Finite Element Method for a Fluid--Structure Interaction Problem
Journal article, 2015

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.

embedded meshes

fluid-structure interaction

cut finite element method

stabilized finite element methods

Nitsche's method

overlapping meshes


A. Massing

Umeå University

Mats G Larson

Umeå University

Anders Logg

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Marie E. Rognes

Simula Research Laboratory

Communications in Applied Mathematics and Computational Science

1559-3940 (ISSN) 2157-5452 (eISSN)

Vol. 10 2 97-120

Areas of Advance

Building Futures (2010-2018)

Subject Categories

Computational Mathematics



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9/6/2018 1