Repository: Freie Universität Berlin, Math Department

Initiation of ray tracing models: Evolution of small-amplitude gravity wave packets in non-uniform background

Pütz, C. and Schlutow, M. and Klein, R. (2019) Initiation of ray tracing models: Evolution of small-amplitude gravity wave packets in non-uniform background. . . (Submitted)

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Abstract

The present study focuses on the interaction of gravity waves in the atmosphere with the tropopause. As the vertical extent of the latter is small compared to the density scale height, wave propagation is described by the Taylor-Goldstein equation as derived from the linearised Boussinesq approximation. Of particular interest in the construction of gravity wave parameterisations for the upper atmosphere are the transmission and reflection properties of the tropopause as these determine the upward fluxes of energy and momentum carried by internal waves. A method is presented that decomposes internal waves explicitly into upward and downward propagating contributions, thus giving direct access to transmission and reflection coefficients of finite regions of non-uniform stratification in a stationary atmosphere. The scheme utilizes a piecewise constant approximation for the background stratification and matches up- and downward propagating plane wave solutions in each layer through physically meaningful coupling conditions. As a result, transmission and reflection coefficients follow immediately.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:2320
Deposited By: Ulrike Eickers
Deposited On:18 Mar 2019 12:45
Last Modified:18 Mar 2019 12:45

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