Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems
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 [S. Badia, F. Nobile, C. 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. (C) 2009 Elsevier B.V. All rights reserved.
Keywords: Fluid-structure interaction ; Partitioned procedures ; Domain decomposition preconditioners ; Robin boundary conditions ; Added-mass effect ; Hemodynamics ; Enclosed fluid problems ; Advection-Diffusion Equations ; Incompressible Viscous Flows ; Navier-Stokes Equations ; Fractional Step Method ; Finite-Element Method ; Partitioned Procedures ; Blood-Flow ; Algorithms ; Mechanics ; Systems
Record created on 2012-04-24, modified on 2016-08-09