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A rapid method for the simulation of sloshing using a mathematical model based on the pendulum equation

Godderidge, B., Turnock, Stephen R. and Tan, M. (2012) A rapid method for the simulation of sloshing using a mathematical model based on the pendulum equation Computers & Fluids, 57, pp. 1-10. (doi:10.1016/j.compfluid.2011.12.018).

Record type: Article


A mathematical model for the rapid assessment of sloshing in faster than real time is developed using a phenomenological modelling approach with a pendulum equation. Based on observations of the consistent trajectory of the centre ofmass of a sloshing fluid, the imbalance force due to the displacement of the sloshing fluid is linked to the restoring force in the pendulum equation. The damping characteristics are replicated using a first and third-order damping model and impact dynamics are included using a modified impact potential. The equations are solved using a variable-order Adams–Bashforth–Moulton scheme and adequate error tolerances of the numerical scheme are established by reversing the direction of time marching. Solutions are obtained within 0.1% of real time. The proposed methodology is considered suitable for the fast time assessment of sloshing on Liquefied Natural Gas carriers, reduction of test matrices during gas carrier design and the simulation of coupled vessel-sloshing dynamics.

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Published date: 5 January 2012
Keywords: Non-linear pendulum, Sloshing, Computational fluid dynamics, Fluid impact
Organisations: Fluid Structure Interactions Group


Local EPrints ID: 207775
ISSN: 0045-7930
PURE UUID: dddc27e7-b136-4779-8e25-723f445a4b47
ORCID for Stephen R. Turnock: ORCID iD

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Date deposited: 12 Jan 2012 11:12
Last modified: 18 Jul 2017 10:49

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Author: B. Godderidge
Author: M. Tan

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