An Analysis of Three-Dimensional Mountain Lee-Waves in a Stratified Shear Flow. Part II

1982 ◽  
Vol 39 (12) ◽  
pp. 2712-2720 ◽  
Author(s):  
William Blumen ◽  
Samuiel C. Dietze
1969 ◽  
Vol 35 (3) ◽  
pp. 481-496 ◽  
Author(s):  
Herbert E. Huppert ◽  
John W. Miles

The stratified shear flow over a two-dimensional obstacle of semi-elliptical crosssection is considered. The shear flow is assumed to be inviscid with constant upstream values of the density gradient and dynamic pressure (Long's model). Two complete sets of lee-wave functions, each of which satisfies the condition of no upstream reflexion, are determined in elliptic co-ordinates for ε ≤ 1 and ε ≥ 1, where ε is the ratio of height to half-width of the obstacle. These functions are used to determine the lee-wave field produced by, and the consequent drag on, a semi-elliptical obstacle as functions of ε and the reduced frequency (reciprocal Froude number) within the range of stable flow. The reduced frequency at which static instability first occurs is calculated as a function of ε.


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