Abstract
This paper, relates the lee vortex which is triggered when the rotating and stratified flow passes over the large obstacle by using towing tank and based on the similarity. The results show that Froude number Fr is the most important parameter, and, in the rotating case, the lee vortex is easily triggered, because the rotating may, on one hand, lead to downward flow, on the other hand, induce lee vortex through generating geostrophic vorticity. Even in the non-rotating case, the lee vortex can be still formed, as long as both Froude number Fr and stratification parameter N are appropriate. For the formation mechanism of the lee vortex, there are obvious differences in the rotating case compared with the non-rotating case. In the non-rotating case, the tilting term of the perturbation vorticity is a dominant factor of inducing the lee vortex. However, in the rotating case, effect and the convergence of perturbation vorticity are dominant factors.
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References
Ye Duzheng, Gao Youxi, The Meteorology of Tibetan Plateau (in Chinese), Beijing: Science press, 1979, 102–127.
Xu Xiangde, Gao Shouting, The Theorem of External Forcing and Wave-Flow Interaction (in Chinese), Beijing: Ocean press, 1999, 250–260.
Scorer, R. S., Theory of waves in lee of mountains, Quart. Journal Royal. Meteorology. Society, 1949, 75: 41–56.
Long, P. R., Some aspects of the stratified fluids, I. A theoretical investigation, Tellus, 1953, 5: 28–42.
Crapper, G. D., A three-dimensional solution for waves in the lee of mountains, Luid. Mech. J. F., 1959, 6: 51–76.
Drazin, P. G., On the steady flow of a fluid of variable density past an obstacle, Tellus, 1961, 13: 239–251.
Brighton, P. W., Strongly stratified flow past three-dimensional obstacle, Quart. Journal Royal. Meteorology. Society, 1978, 104: 289–307.
Smith, R. B., Linear theory of hydrostatic flow over an isolated mountain in isosteric coordinates, J. Atmos. Sci., 1988, 45: 3889–3896.
Smith, R. B., The steepening of hydrostatic mountain waves, J. Atmos. Sci., 1977, 34: 1634–1654.
Smith, R. B., Linear theory of hydrostatic flow over an isolated mountain, Tellus, 1980, 54: 348–364.
Smolarkiewicz, P. K., Rotunno, R., Further results on lee vortices in low-Froude-number flow, J. Atmos. Sci., 1991, 48: 2204–2211.
Smolarkiewicz, P. K., Rotunno, R., Low Froude number airflow past three-dimensional obstacles, Part 1. Baroclinically generated lee vortices, J. Atmos. Sci., 1989, 46: 1154–1164.
Smolarkiewicz, P. K., Rotunno, R., Low Froude number airflow past three-dimensional obstacles, Part 2. Up wind flow reversal zone, J. Atmos. Sci., 1990, 46: 1489–1511.
Egger, J., Alpine lee cyclogenesis: Verification of theories, J. Atmos. Sci., 1988, 43: 2187–2203.
Tafferner, A., Egger, J., Test of theories of lee cyclogenesis: ALPEX cases, J. Atmos. Sci., 1990, 46: 2417–2428.
Chen Ruirong, Li Guoqing, An experimental Simulation on the mechanical effect of Tibetan on zonal circulation of stratified atmosphere, Science in China, Series B, 1982, 25(5): 1091–1102.
Sang Jianguo, On the atmospheric internal ship waves, Science in China, Series B, 1997, 40(6): 592–598.
Liu Huizhi, The study of meso-scale terrain wave and resistance, Doctor dissertation, Beijing University, 1998, 1–135.
Gao Shouting, Chen Hui, The study of the lee wave passing over large topographies, Acta Meteorologica Sinica, 2000, 6: 654–665.
Gao Shouting, Ping Fan, Laboratory studies of a stratified rotating flow past an isolated obstacle, Chinese Physics Letter, 2003, 20(7): 1094–1097.
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Gao, S., Ping, F. An experiment study of lee vortex with large topography forcing. Chin.Sci.Bull. 50, 248–255 (2005). https://doi.org/10.1007/BF02897535
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DOI: https://doi.org/10.1007/BF02897535