Abstract
In this contribution we present a formulation of quasi-geostrophic potential vorticity (QGPV) for a generalised vertical coordinate, η. The original motivation for this work was in the possible use of PV as a control variable for variational data assimilation (Var) which would require the inversion of PV on model levels. In addition, we are unaware of any previous formulation of the QG system for a general vertical coordinate and present the following as a contribution to the literature on the subject. We find that our formulation is strictly appropriate only for vertical coordinates that are not terrain-following. Ways of overcoming this limitation are suggested.
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References
Kasahara, A. (1974) Various vertical coordinate systems used for numerical weather prediction. Mon. Wea. Rev., 102, 509–522
Keeley, N. and White, A.A. (2000) Remarks on the theory and practice of PV inversion. To be submitted to Quart. J. Roy. Meteor. Soc.
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© 2001 Springer Science+Business Media Dordrecht
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Keeley, N., White, A.A. (2001). Quasi-Geostrophic Potential Vorticity for a Generalised Vertical Coordinate: Formulation and Applications. In: Hodnett, P.F. (eds) IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics. Fluid Mechanics and Its Applications, vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0792-4_22
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DOI: https://doi.org/10.1007/978-94-010-0792-4_22
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3853-9
Online ISBN: 978-94-010-0792-4
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