Abstract:
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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 [Badia, Nobile and Vergara, J. Comput. Phys. 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. |