Dynamic coupling between shallow-water sloshing and horizontal vehicle motion
- 7 July 2010
- journal article
- research article
- Published by Cambridge University Press (CUP) in European Journal of Applied Mathematics
- Vol. 21 (6), 479-517
- https://doi.org/10.1017/s0956792510000197
Abstract
The coupled motion between shallow-water sloshing in a moving vehicle and the vehicle dynamics is considered, with the vehicle dynamics restricted to horizontal motion. The paper is motivated by Cooker's experiments and theory for water waves in a suspended container. A new derivation of the coupled problem in the Eulerian fluid representation is given. However, it is found that transformation to a Lagrangian representation leads to a formulation which has nice properties for numerical simulation. In the Lagrangian representation, a simple and fast numerical algorithm with excellent energy conservation over long times, based on the Störmer–Verlet method, is implemented. Numerical simulations of the coupled dynamics in both the linear and non-linear case are presented.Keywords
This publication has 22 references indexed in Scilit:
- Dynamic coupling between shallow-water sloshing and horizontal vehicle motionEuropean Journal of Applied Mathematics, 2010
- Wave breaking and the surface velocity field for three-dimensional water wavesNonlinearity, 2009
- Robustness Of A Robot Control Scheme For Liquid TransferPublished by Springer Science and Business Media LLC ,2008
- Nonlinear sloshing and passage through resonance in a shallow water tankZeitschrift für angewandte Mathematik und Physik, 2005
- Liquid Sloshing DynamicsPublished by Cambridge University Press (CUP) ,2005
- Approximate momentum conservation for spatial semidiscretizations of semilinear wave equationsNumerische Mathematik, 2004
- Control for slosh-free motion of an open containerIEEE Control Systems, 1997
- Water waves in a suspended containerWave Motion, 1994
- Stability of Fishing Vessels with Water on Deck: A ReviewJournal of Ship Research, 1982
- Resonant surface wavesJournal of Fluid Mechanics, 1973