Quasi-Newton methods for implicit black-box FSI coupling

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Authors

Bogaers, Alfred Edward Jules
Kok, Schalk
Reddy, B. Dayanand, 1953-
Franz, Thierry

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Elsevier

Abstract

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 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.

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Keywords

Fluid–structure interactions, Partitioned solver, Black-box solver, Quasi-Newton methods, Implicit coupling, Multi-vector update quasi-Newton (MVQN)

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Citation

Bogaers, 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.