The Dynamics of Flat Surface Internal Geophysical Waves with Currents
Abstract
A two-dimensional water wave system is examined consisting of two discrete incompressible fluid domains separated by a free common interface. In a geophysical context this is a model of an internal wave, formed at a pycnocline or thermocline in the ocean. The system is considered as being bounded at the bottom and top by a flatbed and wave-free surface respectively. A current profile with depth-dependent currents in each domain is considered. The Hamiltonian of the system is determined and expressed in terms of canonical wave-related variables. Limiting behaviour is examined and compared to that of other known models. The linearised equations as well as long-wave approximations are presented.
Cite
@article{arxiv.1611.06581,
title = {The Dynamics of Flat Surface Internal Geophysical Waves with Currents},
author = {Alan Compelli and Rossen Ivanov},
journal= {arXiv preprint arXiv:1611.06581},
year = {2018}
}
Comments
LaTeX, 21 pages, 1 figure, available online in J. Math. Fluid Mech. (2016)