A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion
Alemi Ardakani, H; Bridges, TJ; Gay-Balmaz, F; et al.Huang, YH; Tronci, C
Date: 18 March 2019
Journal
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Publisher
Royal Society
Publisher DOI
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 ...
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.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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