Generalized Eady Waves with Ekman Pumping

Gareth P. Williams Geophysical Fluid Dynamics Laboratory/N0AA, Princeton University, Princeton, N.J. 08540

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John B. Robinson Geophysical Fluid Dynamics Laboratory/N0AA, Princeton University, Princeton, N.J. 08540

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Abstract

The effects of Ekman layers on generalized Eady waves (i.e., height-varying static stability and shear) are examined. The non-constancy of N(z) and uz modify the classical Eady results but do not introduce any new effects. Thus, a short-wave cutoff is always found for flows with double Ekman layers but never for flows with a single Ekman layer.

By comparing the analytical solutions with a numerically simulated annulus wave, we are able to categorize the latter quite accurately.

Abstract

The effects of Ekman layers on generalized Eady waves (i.e., height-varying static stability and shear) are examined. The non-constancy of N(z) and uz modify the classical Eady results but do not introduce any new effects. Thus, a short-wave cutoff is always found for flows with double Ekman layers but never for flows with a single Ekman layer.

By comparing the analytical solutions with a numerically simulated annulus wave, we are able to categorize the latter quite accurately.

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