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Maslov's method for stationary hydrostatic mountain waves
Author(s) -
Broutman Dave,
Rottman James W.,
Eckermann Stephen D.
Publication year - 2002
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1256/003590002320373247
Subject(s) - hydrostatic equilibrium , buoyancy , fourier transform , domain (mathematical analysis) , singularity , geology , mathematical analysis , inverse , field (mathematics) , meteorology , mathematics , geometry , geophysics , mechanics , physics , quantum mechanics , pure mathematics
The ray solution for stationary hydrostatic mountain waves has a singularity along the vertical axis directly over the mountain. We use Maslov's method to improve the ray prediction. The ray solution is determined in the wave‐number domain and is then mapped by inverse Fourier transform to give a spatial description of the wave field that approximates the linear solution over the mountain and elsewhere. We develop Maslov's method for a medium with a height‐dependent mean wind and mean buoyancy, and we compare it with the traditional transform method and with the results of a numerical simulation. Copyright © 2002 Royal Meteorological Society