Papers in Meteorology and Geophysics
Online ISSN : 1880-6643
Print ISSN : 0031-126X
ISSN-L : 0031-126X
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A Weakly Nonlinear Correction for the Linear Mountain Drag Formula
Hirotada Kanehisa
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1997 Volume 48 Issue 2 Pages 67-71

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Abstract
    A weakly nonlinear correction for the 2-dimensional linear formula of mountain drag is considered. The mountain profile is assumed to be symmetric, and the nondimensional mountain height is assumed to be small and of 0 (ε). To the leading order, the mountain drag is proportional to ε2, and is given by the linear formula. The next order term is proportional to ε4. For a particular mountain profile, the 0 (ε4) correction term is calculated. This correction term is shown to be positive. As a result, at least to 0 (ε4), the nonlinearity can be said to enhance the mountain drag.
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© 1997 by Japan Meteorological Agency / Meteorological Research Institute
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