Codice | 19/2008 |
Titolo | Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems |
Data | 2008-09-03 |
Autore/i | Badia, Santiago; Nobile, Fabio; Vergara, Christian |
Link | Download full text |
Abstract | In this work we propose a Robin-Robin preconditioner combined
with Krylov iterations for the solution of the interface system
arising in fluid-structure interaction (FSI) problems. It can be
seen as a partitioned FSI procedure and in this respect it
generalizes the ideas introduced in [{ sl Badia, Nobile and Vergara,
J. Comput. Phys. { bf{227}} (2008) 7027 --7051]}.
We analyze the convergence of GMRES iterations with the Robin-Robin
preconditioner on a model problem and compare its efficiency with some
existing algorithms. The method is shown to be very efficient for many
challenging fluid-structure interaction problems, such as those
characterized by a large added-mass effect or by enclosed fluids. In
particular, the possibility to solve balloon-type problems without any
special treatment makes this algorithm very appealing compared to the
computationally intensive existing approaches |
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