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

Peter Hansbo (Institutionen för tillämpad mekanik, Materialteknik) ; Joakim Hermansson (Institutionen för tillämpad mekanik, Materialteknik) ; Thomas Svedberg (Institutionen för tillämpad mekanik, Materialteknik)
Computer Methods in Applied Mechanics and Engineering Vol. 193 (2004), 39-41, p. 4195-4206 .
[Artikel, refereegranskad vetenskaplig]

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.

Denna post skapades 2006-09-25. Senast ändrad 2014-09-29.
CPL Pubid: 3704


Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Materialteknik (1900-2004)


Teknisk mekanik

Chalmers infrastruktur