Bogaers, Alfred Edward JulesKok, SchalkReddy, B. Dayanand, 1953-Franz, Thierry2015-07-212015-07-212014-09Bogaers, AEJ, Kok, S, Reddy, BD & Franz, T 2014, 'Quasi-Newton methods for implicit black-box FSI coupling', Computer Methods in Applied Mechanics and Engineering, vol. 279, pp. 113-132.0045-7825 (print)1879-2138 (online)10.1016/j.cma.2014.06.033http://hdl.handle.net/2263/49134In this paper we introduce a new multi-vector update quasi-Newton (MVQN) method for implicit coupling of partitioned, transient FSI solvers. The new quasi-Newton method facilitates the use of ‘black-box’ field solvers and under certain circumstances can be demonstrated to provide Newton-like convergence behaviour for strongly coupled FSI benchmark problems.We demonstrate the superior convergence behaviour and robust nature of the MVQN method compared to other well known quasi-Newton coupling schemes, including the least squares reduced order modelling (IBQN-LS) scheme, the classical rank-1 update Broyden’s method and fixed point iterations with dynamic relaxation. The quasi-Newton methods are analysed on a suite of strongly coupled FSI problems, including but not limited to, internal, incompressible flow through a flexible tube where the solid density is an order of magnitude lower than the fluid density.en© 2014 Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. 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 Computer Methods in Applied Mechanics and Engineering, vol. 279, pp. 113-132, 2014. doi : 10.1016/j.cma.2014.06.033Fluid–structure interactionsPartitioned solverBlack-box solverQuasi-Newton methodsImplicit couplingMulti-vector update quasi-Newton (MVQN)Postprint Article