Nonlinear balanced models for stratified fluids conserving Ertel–Rossby PV

A derivation of consistent balanced models for stratified fluids conserving the Ertel–Rossby potential vorticity (PV) is presented. It is used to develop a set of balanced models incorporating new omega equations valid for flow regimes from synoptic scale to mesoscale. The models are developed for q...

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Bibliographic Details
Published in:	Quarterly journal of the Royal Meteorological Society 2003-01, Vol.129 (587), p.139-156
Main Authors:	Ziemia'Nski, Micha Z., Thorpe, Alan J.
Format:	Article
Language:	eng
Subjects:	Convection, turbulence, diffusion. Boundary layer structure and dynamics Earth, ocean, space Exact sciences and technology External geophysics Meteorology Omega equation Potential vorticity Vertical velocity
Online Access:	Get full text
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Summary:	A derivation of consistent balanced models for stratified fluids conserving the Ertel–Rossby potential vorticity (PV) is presented. It is used to develop a set of balanced models incorporating new omega equations valid for flow regimes from synoptic scale to mesoscale. The models are developed for quasi‐Boussinesq and real atmospheres, and for adiabatic and frictionless as well as non‐conservative processes. The new omega equations allow the identification of additional forcing of the vertical velocity due to the ageostrophic and stability effects, and the modification of atmospheric response due to the non‐Boussinesq effects. It is shown that the new omega equation, valid beyond the limit of small Rossby number, allows for a subjective analysis of the vertical‐velocity forcing based on an approach involving the isentropic upgliding, Ertel–Rossby PV advection and boundary temperature advection. Copyright © 2003 Royal Meteorological Society
ISSN:	0035-9009 1477-870X