Irrotational, two-dimensional Surface waves in fluids
General Relativity and Quantum Cosmology
2015-06-05 v1 Fluid Dynamics
Abstract
The equations for waves on the surface of an irrotational incompressible fluid are derived in the coordinates of the velocity potential/stream function. The low frequency shallow water approximation for these waves is derived for a varying bottom topography. Most importantly, the conserved norm for the surface waves is derived, important for quantisation of these waves and their use in analog models for black holes.
Cite
@article{arxiv.1205.6751,
title = {Irrotational, two-dimensional Surface waves in fluids},
author = {W. G. Unruh},
journal= {arXiv preprint arXiv:1205.6751},
year = {2015}
}
Comments
14 pages. To appear in Analog Gravity-- Proceedings of the Como Summer School 2011 ed D. Faccio et al, Springer-Velag