Further Developments of Normal Mode Theory of Lee Cyclogenesis: Isentropic Coordinate Model

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  • 1 CNR-FISBAT, Bologna, Italy
  • | 2 Department of Physics, Bologna, Italy
  • | 3 CNR-FISBAT, Bologna, Italy
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Abstract

This work is an extension of the normal mode theory of lee cyclogenesis in that it removes all the simplifications and restrictive assumptions contained in previous formulations Linearized primitive equations in isentropic coordinates are integrated in time to find the most unstable eigenmode. The appropriate boundary condition for such a model applied either at z = 0 or z = h is derived. Results obtained in the β-plane with a realistically steep and high isolated topography are discussed in relation to the basic state characteristics. Limits and prospects with respect to theory verification are also discussed.

Abstract

This work is an extension of the normal mode theory of lee cyclogenesis in that it removes all the simplifications and restrictive assumptions contained in previous formulations Linearized primitive equations in isentropic coordinates are integrated in time to find the most unstable eigenmode. The appropriate boundary condition for such a model applied either at z = 0 or z = h is derived. Results obtained in the β-plane with a realistically steep and high isolated topography are discussed in relation to the basic state characteristics. Limits and prospects with respect to theory verification are also discussed.

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