In 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 monstrated 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.
Reference:
Bogaers, A.E.J, Kok, S, Reddy, B.D and Franz, T. 2014. Quasi-Newton methods for implicit black-box FSI coupling. Computer Methods in Applied Mechanics and Engineering, vol. 279, pp 113-132
Bogaers, A. E., Kok, S., Reddy, B., & Franz, T. (2014). Quasi-Newton methods for implicit black-box FSI coupling. http://hdl.handle.net/10204/7758
Bogaers, Alfred EJ, S Kok, BD Reddy, and T Franz "Quasi-Newton methods for implicit black-box FSI coupling." (2014) http://hdl.handle.net/10204/7758
Bogaers AE, Kok S, Reddy B, Franz T. Quasi-Newton methods for implicit black-box FSI coupling. 2014; http://hdl.handle.net/10204/7758.
Copyright: 2014 Elsevier. This is the pre-print. The definitive version is published in Computer Methods in Applied Mechanics and Engineering, vol. 279, pp 113-132