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Variational formulation of Budyko-Sellers climate models

North, Gerald R. and Howard, Louis and Pollard, David and Wielicki, Bruce (1979) Variational formulation of Budyko-Sellers climate models. Journal of the Atmospheric Sciences, 36 (2). pp. 255-259. ISSN 0022-4928. http://resolver.caltech.edu/CaltechAUTHORS:NORjas79

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Abstract

A class of simple climate models including those of the Budyko-Sellers type are formulated from a variational principle. A functional is constructed for the zonally averaged mean annual temperature field such that extrema of the functional occur when the climate satisfies the usual energy-balance equation. Local minima of the functional correspond to stable solutions while saddle points correspond to unstable solutions. The technique can be used to construct approximate solutions from trial functions and to carry out finite-amplitude stability analyses. A spectral example is given in explicit detail.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1175/1520-0469(1979)036<0255:VFOBSC>2.0.CO;2DOIUNSPECIFIED
Additional Information:© 1979 American Meteorological Society. Manuscript received 16 August 1978, in final form 10 October 1978. The authors would like to express their thanks to the 1976 Geophysical Fluid Dynamics Summer Program at the Woods Hole Oceanographic Institution for its hospitality during the course of completion of this work. The 1976 GFD program was supported in part by grants from the Office of Naval Research and the National Science Foundation. The authors further wish to acknowledge helpful discussions with Prof. A. Ingersoll and Prof. C. Rooth. One of us (G.R.N.) was supported in part by a research grant from the Office for Climate Dynamics of the National Science Foundation and in part by funds from Goddard Laboratory for Atmospheric Sciences, National Aeronautics and Space Administration.
Funders:
Funding AgencyGrant Number
Office of Naval ResearchUNSPECIFIED
National Science Foundation, Office of Climate DynamicsUNSPECIFIED
NASA, Goddard Laboratory for Atmospheric SciencesUNSPECIFIED
Record Number:CaltechAUTHORS:NORjas79
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:NORjas79
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11329
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Aug 2008 22:09
Last Modified:26 Dec 2012 10:12

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