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Notes and Correspondence
Exact axisymmetric solutions of the deep- and shallow-atmosphere Euler equations in curvilinear and plane geometries
Article first published online: 15 OCT 2012
DOI: 10.1002/qj.2018
Copyright © 2012 British Crown copyright, the Met Office. Published by John Wiley & Sons Ltd.
Issue
Quarterly Journal of the Royal Meteorological Society
Early View (Online Version of Record published before inclusion in an issue)
Additional Information
How to Cite
Staniforth, A. and Wood, N. (2012), Exact axisymmetric solutions of the deep- and shallow-atmosphere Euler equations in curvilinear and plane geometries. Q.J.R. Meteorol. Soc.. doi: 10.1002/qj.2018
Publication History
- Article first published online: 15 OCT 2012
- Manuscript Accepted: 9 JUL 2012
- Manuscript Revised: 28 JUN 2012
- Manuscript Received: 20 FEB 2012
- Abstract
- Article
- References
- Cited By
Keywords:
- baroclinic wave test;
- beta–gamma plane;
- dynamical core;
- model validation;
- spherical geometry;
- spheroidal geometry
Abstract
A wide family of exact closed-form axisymmetric solutions to the deep- and shallow-atmosphere Euler equations is derived. These solutions are not only valid in general curvilinear geometry, but also in beta-plane and beta–gamma-plane geometries. A further generalisation of the generalised thermal wind equation is also derived. The enhanced generality of the exact solutions developed herein provides more flexibility in the specification of initial conditions for numerical model validation. This permits the construction not only of more challenging, balanced, shallow- and deep-atmosphere solutions than has hitherto been possible, but also of more elaborate tests of the baroclinic wave type. Copyright © 2012 British Crown copyright, the Met Office. Published by John Wiley & Sons Ltd.