A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion
Fluid Dynamics
2020-02-20 v1
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-Poincar\'e 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.
Cite
@article{arxiv.1809.10909,
title = {A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion},
author = {H. Alemi Ardakani and T. J. Bridges and F. Gay-Balmaz and Y. Huang and C. Tronci},
journal= {arXiv preprint arXiv:1809.10909},
year = {2020}
}
Comments
19 pages, 3 figures