| 线性和非线性地形罗斯贝波 |
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| 引用本文： | 赵平,孙淑清.线性和非线性地形罗斯贝波[J].大气科学,1991,15(2):33-40. |
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| 作者姓名： | 赵平 孙淑清 |
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| 作者单位： | 成都气象学院
(赵平)，中国科学院大气物理研究所(孙淑清) |
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| 摘 要： | 本文在半地转概念下,讨论了线性和非线性地形罗斯贝波的稳定性及其解。指出:线性和非线性稳定性判据形式一致。在线性时,地形东西向及南北向坡度对稳定波动的周期和传播速度有明显影响,其解为周期函数;在不稳定时,解为非周期函数。二级近似时其解为孤立波形式——不稳定时,在地形不同位置可形成东移或西移的孤立波槽或孤立波脊;而在稳定时只形成孤立波槽。三级近似时解出现间断点。
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| 关 键 词： | 地形罗斯贝波 半地转近似 波动稳定性 孤立波 |
Linear and nonlinear topographically generated Rossby waves |
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| Zhao Ping and Sun Shuqing.Linear and nonlinear topographically generated Rossby waves[J].Chinese Journal of Atmospheric Sciences,1991,15(2):33-40. |
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| Authors: | Zhao Ping and Sun Shuqing |
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| Abstract: | The stability and the solutions of linear and nonlinear topographically generated Rossby Waves were discussed by using a barotropic semi-geostrophic model. The criterion of nonlinear stability is the same as that of linear one. Under second order approximation both troughs and ridges of unstable isolated waves are formed in different locations, and for stable isolated waves only troughs are formed. |
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| Keywords: | Topographically generated Rossby wave Semi-geostrophic approxima - tion Wave stability Isolated wave |
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