Suliman, RidhwaanOxtoby, Oliver F.Malan, A.G.Kok, Schalk2015-08-312015-08-312015-01Suliman, R, Oxtoby, OF, Malan, AG & Kok, S 2015, 'A matrix free, partitioned solution of fluid-structure interaction problems using finite volume and finite element methods', European Journal of Mechanics, B/Fluids, vol. 49, part A, pp. 272-286.0997-7546 (print)1873-7390 (online)10.1016/j.euromechflu.2014.10.002http://hdl.handle.net/2263/49654A fully-coupled partitioned finite volume–finite volume and hybrid finite volume–finite element fluid–structure interaction scheme is presented. The fluid domain is modelled as a viscous incompressible isothermal region governed by the Navier–Stokes equations and discretised using an edge-based hybrid-unstructured vertex-centred finite volume methodology. The structure, consisting of a homogeneous isotropic elastic solid undergoing large, non-linear deformations, is discretised using either an elemental/nodal-strain finite volume approach or isoparametric Q8 finite elements and is solved using a matrix-free dual-timestepping approach. Coupling is on the solver sub-iteration level leading to a tighter coupling than if the subdomains are converged separately. The solver is parallelised for distributed-memory systems using METIS for domain-decomposition and MPI for inter-domain communication. The developed technology is evaluated by application to benchmark problems for stronglycoupled fluid–structure interaction systems. It is demonstrated that the scheme results in full coupling between the fluid and solid domains, whilst furnishing accurate solutions.en© 2014 Elsevier Masson SAS. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Journal of Mechanics, B/Fluids. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in European Journal of Mechanics, B/Fluids, vol. 49, pp. 272-286, 2015. doi : 10.1016/j.euromechflu.2014.10.002.Fluid–structure interactionPartitioned solutionArbitrary Lagrangian–Eulerian (ALE)Finite volume methodsFinite element methodsParallelisationEngineering, built environment and information technology articles SDG-09SDG-09: Industry, innovation and infrastructureEngineering, built environment and information technology articles SDG-11SDG-11: Sustainable cities and communitiesA matrix free, partitioned solution of fluid-structure interaction problems using finite volume and finite element methodsPostprint Article