The dynamic pressure in deep-water extreme Stokes waves
Fluid Dynamics
2017-09-11 v1 Mathematical Physics
math.MP
Abstract
In this paper we consider the dynamic pressure in a deep-water extreme Stokes wave. While the presence of stagnation points introduces a number of mathematical complications, maximum principles are applied to analyse the dynamic pressure in the fluid body by means of an excision process. It is shown that the dynamic pressure attains its maximum value beneath the wave crest and its minimum beneath the wave trough, while it decreases in moving away from the crest line along any streamline.
Keywords
Cite
@article{arxiv.1709.02696,
title = {The dynamic pressure in deep-water extreme Stokes waves},
author = {Tony Lyons},
journal= {arXiv preprint arXiv:1709.02696},
year = {2017}
}
Comments
14 pages, 4 figures. Accepted to appear in Philosophical Transactions of the Royal Society A