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East Asia and Western Pacific METEOROLOGY AND CLIMATE

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318<br />

Figures 11 <strong>and</strong> 12 demonstrate the resulting surface wind speed <strong>and</strong> the Reynolds<br />

stresses for these two cases. One can see that when the critical level is located at<br />

2 ~ 2.5 km, the surface wind speed is enhanced very much because the Reynolds<br />

stress grows consistently showing coherent interference through multiple reflections.<br />

Table 2. The tested cases<br />

Case<br />

03<br />

02<br />

01<br />

00<br />

-1<br />

-2<br />

-3<br />

Zo<br />

(km)<br />

4 0<br />

3,3<br />

3 0<br />

2 47<br />

2.2<br />

2 . 0<br />

• 5<br />

Finally, numerical simulations are conducted for the Nov. 17 case, using the<br />

corresponding Panchiao sounding data as the initial condition. The results are<br />

shown in Fig. 13. The fact that strong surface wind is being set up together with<br />

the consistently growing Reynolds stress is clearly shown.<br />

3.3 Concluding Remarks* The Hengchun fall wind is the result of multiple<br />

reflection of the mountain wave between the critical level <strong>and</strong> the ground. The<br />

favorable conditions are: (l)The critical level is located at about 2 to 3 km with<br />

local Richardson number smaller than or near 1; (2) <strong>East</strong>erly-wise low level wind<br />

with sufficient strength; (3)Stable lower atmosphere.<br />

Acknowledgment. Researches related to this article were supported by various<br />

NSC grants, including NSC73-Q202-MOQ8-09, NSC77-0202- M008-14, NSC78-0202-<br />

M008-18. Special thanks are extended to Ms. C.-H. Shiax> for assistance in various<br />

stages during the preparation of this paper.<br />

REFERENCES<br />

R., Frequency filter for time integrations. Mon. Wea. Rev., 100, 487-490<br />

(1972),<br />

^Breeding, R.J., A nonlinear investigation of critical levels for internal atmosppheric<br />

gravity waves. J. Fluid Mech., 50, 545-563 (1971).<br />

^Kessler E., On the distribution <strong>and</strong> continuity of water substance in atmospheric<br />

circulations. Met. Monogr., No. 32, 1-84 (1969).<br />

^Klemp J.B. <strong>and</strong> Lilly D.K., Numerical simulation of hydrostatic mountain waves.<br />

J. Atmos. ScL, 35, 78-107 (1978).<br />

5 1 Zhang D. <strong>and</strong> Anthes R.A., A high resolution model of the planetary boundary<br />

layer - sesitivity tests <strong>and</strong> comparison with SESAME - 79 data. J. Appl<br />

Met., 21, 1594-1609 (1982).

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