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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/5915

Title: A matrix-free, implicit, incompressible fractional-step algorithm for fluid–structure interaction applications
Authors: Oxtoby, OF
Malan, AG
Keywords: Fluid–structure interaction
Finite volume method
Incompressible split
Matrix free
Parallelization
Preconditioned GMRES
Issue Date: May-2012
Publisher: Elsevier
Citation: Oxtoby, OF and Malan, AG. 2012. A matrix-free, implicit, incompressible fractional-step algorithm for fluid–structure interaction applications. Journal of Computational Physics, vol. 231(16), pp 5389-5405
Series/Report no.: Workflow;9133
Abstract: In this paper we detail a fast, fully-coupled, partitioned fluid–structure interaction (FSI) scheme. For the incompressible fluid, new fractional-step algorithms are proposed which make possible the fully implicit, but matrixfree, parallel solution of the entire coupled fluid–solid system. These algorithms include artificial compressibility pressure-poisson solution in conjunction with upwind velocity stabilisation, as well as simplified pressure stabilisation for improved computational efficiency. A dual-timestepping approach is proposed where a Jacobi method is employed for the momentum equations while the pressures are concurrently solved via a matrix-free preconditioned GMRES methodology. This enables efficient sub-iteration level coupling between the fluid and solid domains. Parallelisation is effected for distributed-memory systems. The accuracy and efficiency of the developed technology is evaluated by application to benchmark problems from the literature. The new schemes are shown to be efficient and robust, with the developed preconditioned GMRES solver furnishing speed-ups ranging between 50 and 80.
Description: Copyright: 2012 Elsevier. This is the pre-print version of the work. The definitive version is published in Journal of Computational Physics, vol. 231(16), pp 5389-5405
URI: http://www.sciencedirect.com/science/article/pii/S0021999112002197
http://hdl.handle.net/10204/5915
ISSN: 0021-9991
Appears in Collections:Aeronautic systems
High performance computing
Advanced mathematical modelling and simulation
General science, engineering & technology

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