A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion
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Ardakani, H. Alemi, Bridges, T.J., Gay-Balmaz, F., Huang, Y.H. and Tronci, C. (2019) A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
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A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion.pdf - Accepted version Manuscript Available under License Creative Commons Attribution. Download (351kB) | Preview |
Abstract
A variational principle is derived for two-dimensional incompressible rotational fluid flow with a free surface in a moving vessel when both the vessel and fluid motion are to be determined. The fluid is represented by a stream function and the vessel motion is represented by a path in the planar Euclidean group. Novelties in the formulation include how the pressure boundary condition is treated, the introduction of a stream function into the Euler- Poincaré variations, the derivation of free surface variations, and how the equations for the vessel path in the Euclidean group, coupled to the fluid motion, are generated automatically.
| Item Type: | Article | ||||||||||||||||||
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| Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | ||||||||||||||||||
| Authors : |
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| Date : | 2019 | ||||||||||||||||||
| Funders : | Engineering and Physical Sciences Research Council (EPSRC), Leverhulme Trust | ||||||||||||||||||
| DOI : | 10.1098/rspa.2018.0642 | ||||||||||||||||||
| Copyright Disclaimer : | © 2019 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/ by/4.0/, which permits unrestricted use, provided the original author and source are credited. | ||||||||||||||||||
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| Depositing User : | Clive Harris | ||||||||||||||||||
| Date Deposited : | 10 Apr 2019 12:27 | ||||||||||||||||||
| Last Modified : | 05 Jul 2019 15:58 | ||||||||||||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/851047 |
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