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Rossby-Haurwitz's equation for the conservation of vertical vorticity component in the baroclinic atmosphere

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Summary

It is shown that the conservation equation of potential vorticity in the barotropic atmosphere\(\frac{d}{{dt}}\left( {\frac{{f + \zeta }}{{\Delta p}}} \right) = 0\) holds good, even in the baroclinic atmosphere, if it is permissible to introduce the isentropic and mass-conservation approximations.

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References

  1. Charney J. G., 1948:On the Scale of Atmospheric Motions. Geof. Publ. 17, No. 2, 17 pp.

  2. Charney, J. G., 1949:On a Physical Basis for Numerical Prediction of Large-Scale Motions in the Atmosphere. J. Meteor., 6, pp. 371–385

  3. Haurwitz, B., 1941:Dynamic Meteorology. 1st. Ed., New York, Mc Graw-Hill Book Co, pp. 233–235.

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Authors and Affiliations

  1. Meteorological Research Institute, Suginami, Tokyo, Japan

    H. Arakawa

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  1. H. Arakawa
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Arakawa, H. Rossby-Haurwitz's equation for the conservation of vertical vorticity component in the baroclinic atmosphere. Geofisica Pura e Applicata 18, 158–159 (1950). https://doi.org/10.1007/BF02000320

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  • DOI: https://doi.org/10.1007/BF02000320

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