Nitsche's method combined with space–time finite elements for ALE fluid–structure interaction problems
Artikel i vetenskaplig tidskrift, 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, Tillämpad mekanik, Materialteknik

Joakim Hermansson

Chalmers, Tillämpad mekanik, Materialteknik

Thomas Svedberg

Chalmers, Tillämpad mekanik, Materialteknik

Computer Methods in Applied Mechanics and Engineering

Vol. 193 39-41 4195-4206



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