Q. J. R. Meteorol. Soc., 127, 129-146, 2001
A hybrid method for analyzing wave propagation from a localized source, with application to mountain waves

D. Broutman
Computational Physics, Inc., Springfield, VA

J. W. Rottman
University of California San Diego, San Diego, CA

S. D. Eckermann
E. O. Hulburt Center for Space Research, Code 7641.2, Naval Research Laboratory, Washington, DC 20375


Abstract.

Wave propagation from a localised source into a non-uniform medium is analysed using a hybrid method. This consists of an integral representation in the near-field and a numerical ray-tracing in the far-field. The ray-tracing includes the calculation of wave-action density and is initialised from the stationary-phase approximation to the near-field integral. The method is tested on the problem of mountain waves in a turning wind, as studied by Shutts (1998). A ray calculation with rotation added to the Shutts model is also presented and is interpreted with a simple analytical model in which the horizontal divergence of rays balances the vertical convergence of rays. The inclusion of rotation speeds up the approach to wave breaking amplitudes.



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