Wave Triad with Forcings as a Nambu System
Atmospheric and Oceanic Physics
2020-04-20 v1
Abstract
The dynamics of an ideal wave triad with real amplitudes has a well-known Nambu representation with energy and enstrophy as conservation laws. Here we derive Nambu representations for systems with constant forcings. These equations have been applied to triads of Rossby-Haurwitz waves in the atmosphere where they are forced with orography. The conservation laws are based on relations for the unforced amplitudes and a Hamiltonian given by the total energy plus terms involving the unforced amplitudes. The forcing of the unstable wavenumber causes a recharge cycle.
Keywords
Cite
@article{arxiv.2004.08148,
title = {Wave Triad with Forcings as a Nambu System},
author = {Richard Blender and Joscha Fregin},
journal= {arXiv preprint arXiv:2004.08148},
year = {2020}
}
Comments
9 pages, 1 figure