2020/04/17 by Richard Blender, Blender, Richard, Joscha Fregin +1
Engineering · #Atmospheric and Oceanic Physics (physics.ao-ph) #Earthquake and Tsunami Effects #FOS: Physical sciences
paper · pdf · doi:10.48550/arxiv.2004.08148
openalex publication_date 2020/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.