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| 线性稳定性分析方法在海洋小尺度不稳定研究中的应用 |
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方丽媛1,2,3, 霍丹1,2,3, 刘传玉1,2,3
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1.中国科学院海洋研究所, 山东 青岛 266071;2.中国科学院大学, 北京 100049;3.中国科学院海洋环流与波动重点实验室, 山东 青岛 266071
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| 摘要: |
| 海洋水文动力廓线中包含小尺度不稳定特征, 但一般难以直接量化与表征。线性稳定性分析(linear stability analysis, LSA)作为一种经典方法, 可揭示小尺度不稳定性的基本特征。本文介绍了小尺度线性稳定性分析方法的构建方法, 讨论了可能影响其分析结果的因素, 利用赤道太平洋142°E处的廓线数据, 展示了该方法的应用过程及该位置的不稳定性质, 如层结、剪切、生长率、临界深度等。结果表明, 线性稳定性分析方法在海洋小尺度不稳定过程研究中具有较好的适用性和指导性。 |
| 关键词: Taylor-Goldstein方程 特征值问题 线性稳定性分析 小尺度不稳定 |
| DOI：10.11759/hykx20220225004 |
| 分类号:P731.26 |
| 基金项目:中国科学院战略性先导科技专项(XDA19060102); 国家自然科学基金项目(41976012, 41730534); 中国科学院前沿科学重点研究项目(QYZDB-SSW-DQC030) |
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| Linear stability analysis method and its application on small-scale instability processes in ocean |
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FANG Liyuan1,2,3, HUO Dan1,2,3, LIU Chuanyu1,2,3
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1.Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;2.University of Chinese Academy of Sciences, Beijing 100049, China;3.CAS Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Sciences, Qingdao 266071, China
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| Abstract: |
| The marine hydrodynamic profiles contain small-scale instability features, but they are difficult to quantify and characterize directly. As a commonly applied and well-developed classical analysis method, the linear stability analysis (LSA) has the potential to reveal the instability features. This paper introduces the construction and implementation procedure of the LSA method in analyzing small-scale instabilities, and the possible factors that may influence the LSA results are discussed. Particularly, using the observational data at 142°E in the equatorial Pacific Ocean, we present the application of the method and show the instability properties, such as stratification, shear, growth rate and critical depths. The results show that the LSA method has good applicability and instruction in the study of small-scale instability processes in the ocean. |
| Key words: Taylor-Goldstein equation eigenvalue problem linear stability analysis small scale instability |