Heil, M., Hazel, A.L. & Boyle, J. (2008) Solvers for large-displacement fluid-structure interaction problems: Segregated vs. monolithic approaches. Computational MechanicsComputational Mechanics 43, 91-101.

We compare the relative performance of monolithic and segregated (partitioned) solvers for large-displacement fluid-structure interaction (FSI) problems within the framework of oomph-lib, the object-oriented multi-physics finite-element library, available as open-source software at http://www.oomph-lib.org. Monolithic solvers are widely acknowledged to be more robust than their segregated counterparts, but are believed to be too expensive for use in large-scale problems. We demonstrate that monolithic solvers are competitive even for problems in which the fluid-solid coupling is weak and, hence, the segregated solvers converge within a moderate number of iterations. The efficient monolithic solution of large-scale FSI problems requires the development of preconditioners for the iterative solution of the linear systems that arise during the solution of the monolithically-coupled fluid and solid equations by Newton's method. We demonstrate that recent improvements to oomph-lib's FSI preconditioner result in mesh-independent convergence rates under uniform and non-uniform (adaptive) mesh refinement, and explore its performance in a number of two- and three-dimensional test problems involving the interaction of finite-Reynolds-number flows with shell and beam structures, as well as finite-thickness solids.

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