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A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion

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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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
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Ardakani, H. Alemi
Bridges, T.J.T.Bridges@surrey.ac.uk
Gay-Balmaz, F.
Huang, Y.H.y.h.huang@surrey.ac.uk
Tronci, C.c.tronci@surrey.ac.uk
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.
Related URLs :
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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