Reference pressure changes and available potential energy in isobaric coordinates

Franklin R. Robertson

doi:10.3402/tellusa.v37i1.11652

Reference pressure changes and available potential energy in isobaric coordinates

Tellus

Volume 37 (1985): Issue 1

By: Franklin R. Robertson

Open Access

|Jan 1985

Abstract

Previous isobaric formulations of the exact available potential energy equation have included a term involving the rate of change of reference pressure (the areal mean pressure on an isentropic surface). A revised formulation in which this term is rewritten and combined with ωα clarifies the role of mechanical work and boundary work in altering the available potential energy of an open region.

References

Dutton , J. A. and Johnson , D. R. 1967 . The theory of available potential energy and a variational approach to atmospheric energetics . Adv. Geophys . 12 , 333 – 433 .
Search in Google Scholar Back to article
Edmon , H. J. 1978 . A reexamination of limited-area available potential energy budget equations . J. Atmos. Sci . 35 , 1655 – 1659 .
Search in Google Scholar Back to article
Eager , J. 1976 . Comments on “Zonal and eddy forms of the available potential energy equations in pressure coordinates” . Tellus 28 , 377 – 378 .
Search in Google Scholar Back to article
Johnson , D. R. 1970 . The available potential energy of storms . J. Atmos. Sci . 27 , 727 – 741 .
Search in Google Scholar Back to article
Johnson , D. R. and Downey , W. K. 1982 . On the energetics of open systems . Tellus 34 , 458 – 470 .
Search in Google Scholar Back to article
Lin , S. C. 1980 . The available potential energy budget of a severe storm-producing extratropical cyclone . Ph. D. Thesis , Purdue University, Department of Geo-sciences , West Lafayette, IN 47907 .
Search in Google Scholar Back to article
Lorenz , E. N. 1955 . Available potential energy and the maintenance of the general circulation . Tellus 7 , 157 – 167 .
Search in Google Scholar Back to article
Margules , M. 1903 . Über die Energie der Sturme. Ja. Zentralanst. Meteorol. , 1 – 26 . (Transl. by C. Abbe , 1910 ): The Mechanics of the Earth's Atmosphere . 3rd Coll. , Smithsonian Inst. , Washington, D.C. 533 – 595 .
Search in Google Scholar Back to article
Min , K. D. and Horn , L. H. 1982 . Available potential energy in the northern hemisphere during the FGGE year . Tellus 34 , 526 – 539 .
Search in Google Scholar Back to article
Smith , P. J. 1969 . On the contribution of a limited region to the global energy budget . Tellus 21 , 200 – 207 .
Search in Google Scholar Back to article
Smith , P. J. , Vincent , D. G. and Edmon , H. J. 1977 . The time dependence of reference pressure in limited region available potential energy budget equations . Tellus 29 , 476 – 480 .
Search in Google Scholar Back to article
Taylor , K. E. 1979 . Formulas for calculating available potential energy over uneven topography . Tellus 31 , 236 – 245 .
Search in Google Scholar Back to article
Vincent , D. G. and Chang , L. N. 1973 . Some further considerations concerning energy budgets of moving systems . Tellus 25 , 224 – 232 .
Search in Google Scholar Back to article