Comments on the Gravity Wave Theory of J. Weinstock Concerning Dissipation Induced by Nonlinear Effects

Colin O. Hines Toronto, Ontario, Canada

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Abstract

It has been alleged that gravity waves having large vertical wavenumbers in the middle atmosphere are subject to dissipation by a diffusivity engendered by other waves via nonlinear wave–wave interaction, with the diffusivity taking a very particular, specified form. Here it is argued that the putative diffusivity was inferred on improper physical assumptions and mathematical developments. The conclusion has implications for the modeling of the general circulation of the middle atmosphere.

Corresponding author address: Dr. C. O. Hines, 15 Henry Street, Toronto, ON M5T 1W9, Canada. Email: hines@windic.yorku.ca

Abstract

It has been alleged that gravity waves having large vertical wavenumbers in the middle atmosphere are subject to dissipation by a diffusivity engendered by other waves via nonlinear wave–wave interaction, with the diffusivity taking a very particular, specified form. Here it is argued that the putative diffusivity was inferred on improper physical assumptions and mathematical developments. The conclusion has implications for the modeling of the general circulation of the middle atmosphere.

Corresponding author address: Dr. C. O. Hines, 15 Henry Street, Toronto, ON M5T 1W9, Canada. Email: hines@windic.yorku.ca

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