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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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.
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Language:eng
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recordid cdi_crossref_primary_10_1256_qj_02_58
title Nonlinear balanced models for stratified fluids conserving Ertel–Rossby PV
format Article
creator Ziemia'Nski, Micha Z.
Thorpe, Alan J.
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
ispartof Quarterly journal of the Royal Meteorological Society, 2003-01, Vol.129 (587), p.139-156
description 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
language eng
source EZB Electronic Journals Library
identifier ISSN: 0035-9009
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issn 0035-9009
1477-870X
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