Abstract
Abstract The stretched variable (SV) transformation, introduced by Blumen and Dietze, is used to cast Scorer's equation for steady, linear two-dimensional mountain waves into a new form. The SV transformation is one of a class. exemplified by the WKBJ transformation, that can be used to obtain approximate solutions of Scorer's equation. The SV and WKBJ hydrostatic solutions are compared. It is shown that the restrictions placed on the vertical distribution of the basic state wind and static stability are different in each case. As a consequence, some differences in the physical properties of each solution arise, although some similar properties are retained. It is shown that the continuous process of partial reflection of vertically propagating waves is not an inherent property of either solution. However, the constant vertical flux of horizontal momentum (F) depends on the curvature of the basic flow at ground-level when the WKRJ solution is employed. but the flow curvature does not contribute to F when ...
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