A Conservation Law for Small-Amplitude Quasi-Geostrophic Disturbances on a Zonally Asymmetric Basic Flow

David G. Andrews Department of Atmospheric Physics, Clarendon Laboratory, Oxford University, Oxford OXI 3PU, England

Search for other papers by David G. Andrews in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

A quadratic conservation law is derived for small-amplitude quasi-geostrophic disturbances on a wavy basic state. The law may be useful for describing the three-dimensional propagation of disturbances on time-averaged flows. This parallels the use of the generalized Eliassen-Palm theorem in the description of waves propagating on zonally-averaged flows.

Abstract

A quadratic conservation law is derived for small-amplitude quasi-geostrophic disturbances on a wavy basic state. The law may be useful for describing the three-dimensional propagation of disturbances on time-averaged flows. This parallels the use of the generalized Eliassen-Palm theorem in the description of waves propagating on zonally-averaged flows.

Save