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Low-level vertical wind shear effects on the gravity wave breaking over an isolated two-dimensional orography Cover

Low-level vertical wind shear effects on the gravity wave breaking over an isolated two-dimensional orography

By:  and    
Open Access
|Dec 2012

Figures & Tables

Fig. 1. 

Vertical profiles of Brunt–Väisälä frequency and basic wind speed. U 0 is surface wind speed, and Δu is the low-level VWS.

Table 1. Experimental designs and results

Experiments δ (km) N2/N1 (s−1/s−1) U0m (ms−1) Δumax (ms−1) Δumax/U0m A1 1 0.01/0.01 6.0 1.65 0.275 A2 1 0.0075/0.0075 4.5 1.23 0.273 A3 1 0.005/0.005 3.0 0.82 0.273 A4 1 0.005/0.01 6.0 1.64 0.273 A5 1 0.02/0.01 6.0 1.65 0.275 B1 (CTRL) 3 0.01/0.01 6.0 2.16 0.36 B2 3 0.0075/0.0075 4.5 1.62 0.36 B3 3 0.005/0.005 3.0 1.08 0.36 B4 3 0.005/0.01 6.0 1.66 0.277 B5 3 0.02/0.01 6.8 5.81 0.854 C1 4 0.01/0.01 6.0 2.6 0.433 C2 4 0.0075/0.0075 4.5 1.95 0.433 C3 4 0.005/0.005 3.0 1.3 0.433 C4 4 0.005/0.01 6.0 5.15 0.858 C5 4 0.02/0.01 10.0 5.14 0.514 D1 5 0.01/0.01 6.0 3.2 0.533 D2 5 0.0075/0.0075 4.5 2.4 0.533 D3 5 0.005/0.005 3.0 1.6 0.533 D4 5 0.005/0.01 7.8 4.78 0.613 D5 5 0.02/0.01 6.0 5.3 0.883
Fig. 2. 

Surface wind speed and its one-to-one correspondence to low-level VWS when the stagnation point starts appearing over the leeside in Exps CTRL (B1), B2, and B3. Dots, triangles, and asterisks denote Exps CTRL, B2, and B3, respectively.

Fig. 3. 

Normalised MNHWP (u/N 1 h) for different non-dimensional values of Fr 0 and Δu/U 0. The dotted line denotes the points for Fr 0 and the corresponding Δu c/U 0when the stagnation just appears over the leeside. ‘NWB’ denotes the region with no wave breaking (solid contour); ‘WB’ denotes the region with wave breaking (dashed contour). (a) Exp A1; (b) Exp CTRL; (c) Exp C1; and (d) Exp D1.

Fig. 4. 

Horizontal perturbation velocity (contour interval of 2 ms−1) in CTRL with Δ=3 km and N 1=N 2=0.01 s−1. (a) U 0=10 ms−1, Δu=10−4 ms−1; (b) U 0=15 ms−1, Δu=10−4 ms−1; and (c) U 0=10 ms−1, Δu=5.0 ms−1.

Fig. 5. 

Vertical configuration of the Brunt–Väisälä frequency (N 2/N 1) and corresponding Δu max/U 0m for different shear layer depth (Δ). Asterisks, hollow circles, crosses, and triangles denote Δ=1, 3, 4 and 5 km, respectively.

Fig. 6. 

Vertical position of stagnation point (black point) calculated using the parameter-space search method. (a) Case 1 with N 2/N 1=1.0; (b) Case 2 with N 2/N 1=0.5; and (c) Case 3 with N 2/N 1=2.0.

Fig. 7. 

Same as in Fig. 4, but for: (a) U 0=10 ms−1, Δu=10−4 ms−1 in Exp D1; (b) U 0=10 ms−1, Δu=10−4 ms−1 in Exp D4; (c) U 0=10 ms−1, Δu=10−4 ms−1 in Exp D5; (d) U 0=16 ms−1, Δu=10−4 ms−1 in Exp D5.

Fig. 8. 

As in Fig. 3, but: (a) Exp A4; (b) Exp B4; (c) Exp C4; and (d) Exp D4.

Fig. 9. 

As in Fig. 3, but: (a) Exp A5; (b) Exp B5; (c) Exp C5; and (d) Exp D5.

Language: English
Page range: 17265 - 17265
Submitted on: Mar 27, 2011
Published on: Dec 1, 2012
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2012 Xu-Wei Bao, Zhe-Min Tan, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.