Article Type:
Research Article

Conservation of Potential Vorticity on Lorenz Grids

Michael J. Bell Met Office, Bracknell, Berkshire, United Kingdom

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Print Publication:
01 Jul 2003
DOI:
https://doi.org/10.1175/1520-0493(2003)131<1498:COPVOL>2.0.CO;2
Page(s):
1498–1501
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Abstract

The quasigeostrophic equations formulated using the Charney–Phillips vertical staggering of variables are well known to possess an analog of the form of conservation of potential vorticity. It is shown that a similar analog is enjoyed by the quasigeostrophic equations formulated using the modified Lorenz staggering of variables.

Corresponding author address: Dr. Michael J. Bell, FOAM Research and Development, Met Office, London Rd., Bracknell, Berkshire RG12 2SZ, United Kingdom. Email: mike.bell@metoffice.com

Abstract

The quasigeostrophic equations formulated using the Charney–Phillips vertical staggering of variables are well known to possess an analog of the form of conservation of potential vorticity. It is shown that a similar analog is enjoyed by the quasigeostrophic equations formulated using the modified Lorenz staggering of variables.

Corresponding author address: Dr. Michael J. Bell, FOAM Research and Development, Met Office, London Rd., Bracknell, Berkshire RG12 2SZ, United Kingdom. Email: mike.bell@metoffice.com

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