Nitsche's method combined with space–time finite elements for ALE fluid–structure interaction problems
Journal article, 2004

We propose a weak method for handling the fluid–structure interface in finite element fluid–structure interaction based on Nitsche's method [Abh. Math. Univ. Hamburg 36 (1971) 9]. We assume transient incompressible Newtonian flow and, for the structure, undamped linear elasticity. For the time-discretization, we use the time-continuous (energy conserving) Galerkin method for the structure, and for the fluid we employ the time-discontinuous Galerkin method. This means that the velocity becomes piecewise constant on each timestep for the fluid, matching the time-derivative of the displacements in the solid which is also piecewise constant over a time step. We formulate the method and report some numerical examples using space–time oriented elements for the fluid in order to mimic Lagrangian or ALE-type simulations.


Peter F G Hansbo

Chalmers, Applied Mechanics, Mechanics of Materials

Joakim Hermansson

Chalmers, Applied Mechanics, Mechanics of Materials

Thomas Svedberg

Chalmers, Applied Mechanics, Mechanics of Materials

Computer Methods in Applied Mechanics and Engineering

Vol. 193 39-41 4195-4206

Subject Categories

Mechanical Engineering

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