English

A phase-space study of jet formation in planetary-scale fluids

Fluid Dynamics 2010-10-27 v2 Atmospheric and Oceanic Physics

Abstract

The interaction between planetary waves and an arbitrary zonal flow is studied from a phase-space viewpoint. Using the Wigner distribution, a planetary wave Vlasov equation is derived that includes the contribution of the mean flow to the zonal potential vorticity gradient. This equation is applied to the problem of planetary wave modulational instability, where it is used to predict a fastest growing mode of finite wavenumber. A wave-mean flow numerical model is used to test the analytical predictions, and an intuitive explanation of modulational instability and jet asymmetry is given via the motion of planetary wavepackets in phase space.

Keywords

Cite

@article{arxiv.0710.2255,
  title  = {A phase-space study of jet formation in planetary-scale fluids},
  author = {Robin D. Wordsworth},
  journal= {arXiv preprint arXiv:0710.2255},
  year   = {2010}
}

Comments

10 pages, 10 figures

R2 v1 2026-06-21T09:30:29.987Z