Solvers for large-displacement fluid–structure interaction problems: segregated versus monolithic approaches
- 779 Downloads
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.
KeywordsFluid-structure interaction Monolithic solvers Preconditioning
Unable to display preview. Download preview PDF.
- 3.Heil M, Hazel AL (2006) oomph-lib—An object-oriented multi-physics finite-element library. In: Schafer M, Bungartz H-J (eds) Fluid–structure interaction. Springer (Lecture Notes on Computational Science and Engineering), pp 19–49Google Scholar
- 9.Elman HC, Silvester DJ, Wathen AJ (2006) Finite elements and fast iterative solvers with applications in incompressible fluid dynamics. Oxford University Press, New YorkGoogle Scholar
- 10.Turek S, Hron J, (2007) Proposal for numerical benchmarking of fluid–structure interaction between an elastic object and laminar incompressible flow. In: Schafer M, Bungartz H-J (eds) Fluid–structure interaction. Lecture Notes on Computational Science and Engineering. Springer, Heidelberg. pp 371–385Google Scholar
- 11.hypre—High performance preconditioning library. Center for Applied Scientific Computing at Lawrence Livermore National Laboratory. http://www.llnl.gov/CASC/hypre/software.html
- 12.Trilinos. Sandia National Laboratories. http://trilinos.sandia.gov/