Note on a New Solution of the Taylor-Goldstein Equation and Applications to the Atmosphere

Willilam R. Moninger Coe College, Cedar Rapids, Iowa 52402

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Earl E. Gossard NOAA/ERL/Wave Propagation Laboratory, Boulder, Colo. 80302

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Abstract

A model having smooth wind and density profiles, for which a new solution of the Taylor-Goldstein equation can be found, is described. This model is particularly suitable for comparison with the analogous piecewise linear model so that the influence of “corners” in profiles can be judged. Such corners are found in models studied by Rayleigh, Goldstein, Taylor, Howard, Holmboe, and Gossard.

Abstract

A model having smooth wind and density profiles, for which a new solution of the Taylor-Goldstein equation can be found, is described. This model is particularly suitable for comparison with the analogous piecewise linear model so that the influence of “corners” in profiles can be judged. Such corners are found in models studied by Rayleigh, Goldstein, Taylor, Howard, Holmboe, and Gossard.

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