Theoretical analysis of anomalous equatorial ocean stationary wave and its interannual variability

Lu Xu; Zhao Yanling; Zhang Dongling; Zhang Ming; Liu Saisai

doi:10.12284/hyxb2022013

Volume 44 Issue 3

Mar. 2022

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Lu Xu，Zhao Yanling，Zhang Dongling, et al. Theoretical analysis of anomalous equatorial ocean stationary wave and its interannual variability[J]. Haiyang Xuebao，2022, 44(3)：15–24 doi: 10.12284/hyxb2022013

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Theoretical analysis of anomalous equatorial ocean stationary wave and its interannual variability

doi: 10.12284/hyxb2022013

Lu Xu^{1, 4
,},
Zhao Yanling^{2, 4},
Zhang Dongling^{3
,
,},
Zhang Ming⁴,
Liu Saisai^{2, 4}

1.
Unit 32021, PLA, Beijing 100094, China
2.
Unit 31010, PLA, Beijing 100081, China
3.
Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
4.
Laboratory of Atmospheric Circulation and Short-range Climate Forecast, Meteorological and Oceanographic College, National University of Defense Technology, Nanjing 211101, China

Received Date: 2021-01-28
Rev Recd Date: 2021-06-15
Publish Date: 2022-03-18

Abstract

Abstract

In this paper, using the equatorial beta-plane approximation of the linear barotropic perturbation equations and introducing the reduced gravitational acceleration, we obtain the analytical solutions of anomalous equatorial ocean stationary wave and give the calculation results of the solutions. Then we compare the results with the modes of complex EOF analysis about abnormal circulation of the real tropical Pacific Ocean and Indian Ocean. The main conclusions are: in the first mode of anomalous equatorial ocean stationary wave, the current disturbance throughout the whole ocean is the half wave, which appears as the consistent zonal flow. The maximum disturbance appears at the middle of the tropical ocean and decays rapidly from equator to north and south, which is restricted in about 2 degree range on both sides of the equator. In the second mode, the current disturbance throughout the whole ocean is the full wave and has the opposite flow direction at east and west of the ocean. The degree of the attenuation of the current disturbance from equator to north and south is as that of the first mode. Anomalous equatorial ocean stationary wave meets the boundary conditions of the east and west coast directing along the longitude. The coefficient is inversely proportional to the square root of the product of the reduced gravity acceleration and the upper water standard depth, which determines the decay rate of anomalous equatorial ocean stationary wave on both sides of the equator. If the square root values take the same, the decay rates are the same. The oscillation frequency of anomalous stationary wave is proportional to the modal number and the square root values, which is inversely proportional to the width of tropical ocean. The modal number is lower and the width is larger, the frequency is lower and the corresponding oscillation period is longer; the first mode of the oscillation period is the longest. Taking every parameters as the typical values and the modal number as one, then taking the width of the equatorial Pacific Ocean and Indian Ocean respectively, the calculation results show that the spatial distribution and interannual variability of the first mode are the same as the corresponding mode of the real abnormal circulation obtaining from the complex EOF analysis; this means that the nature of the first mode above is the anomalous equatorial ocean stationary wave and the anomalous stationary wave is one of the generating mechanism of ENSO and IOD.
- equatorial stationary wave,
- Pacific Ocean,
- Indian Ocean,
- interannual variability

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References

[1]	Matsuno T. Quasi-geostrophic motions in the equatorial area[J]. Journal of the Meteorological Society of Japan. Ser. II, 1966, 44(1): 25−43. doi: 10.2151/jmsj1965.44.1_25
[2]	巢纪平. 厄尔尼诺和南方涛动动力学[M]. 北京: 气象出版社, 1993. Chao Jiping. Dynamics of El Nino and Southern Oscillation[M]. Beijing: China Meteorological Press, 1993.
[3]	Hirst A C. Slow instabilities in tropical ocean basin-global atmosphere models[J]. Journal of the Atmospheric Sciences, 1988, 45(5): 830−852. doi: 10.1175/1520-0469(1988)045<0830:SIITOB>2.0.CO;2
[4]	Yamagata T, Masumoto Y. A simple ocean-atmosphere coupled model for the origin of a warm El Niño Southern Oscillation event[J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1989, 329(1604): 225−236.
[5]	卢姁, 张东凌. 热带太平洋5月份上层洋流的动力统计诊断[J]. 热带海洋学报, 2009, 28(2): 22−30. doi: 10.3969/j.issn.1009-5470.2009.02.004 Lu Xu, Zhang Dongling. A statistical diagnosis of upper-ocean currents in tropical Pacific Ocean in May[J]. Journal of Tropical Oceanography, 2009, 28(2): 22−30. doi: 10.3969/j.issn.1009-5470.2009.02.004
[6]	吕新刚, 乔方利, 夏长水. 胶州湾潮汐潮流动边界数值模拟[J]. 海洋学报, 2008, 30(4): 21−29. Lü Xingang, Qiao Fangli, Xia Changshui. Numerical simulation of tides and three-dimensional tidal currents in Jiaozhou Bay by a movable land-sea boundary model[J]. Haiyang Xuebao, 2008, 30(4): 21−29.
[7]	李希彬, 孙晓燕, 姚志刚. 基于船载ADCP观测对半封闭海湾湾口断面潮流及余流的分析(英文)[J]. 海洋通报, 2012, 14(2): 37−45. Li Xibin, Sun Xiaoyan, Yao Zhigang. Analysis of tidal and residual currents across semi-enclosed bay mouth based on shipboard ADCP measurements[J]. Marine Science Bulletin, 2012, 14(2): 37−45.
[8]	王春阳, 张永强, 王恩康, 等. 广东红海湾海流季节性特征分析[J]. 应用海洋学学报, 2020, 39(4): 480−489. doi: 10.3969/J.ISSN.2095-4972.2020.04.004 Wang Chunyang, Zhang Yongqiang, Wang Enkang, et al. Seasonal characteristics of currents in Honghai Bay, Guangdong Province[J]. Journal of Applied Oceanography, 2020, 39(4): 480−489. doi: 10.3969/J.ISSN.2095-4972.2020.04.004
[9]	Zheng Quanan, Hu Jianyu, Zhu Benlu, et al. Standing wave modes observed in the South China Sea deep basin[J]. Journal of Geophysical Research: Oceans, 2014, 119(7): 4185−4199. doi: 10.1002/2014JC009957
[10]	Navas-Montilla A, Martínez-Aranda S, Lozano A, et al. 2D experiments and numerical simulation of the oscillatory shallow flow in an open channel lateral cavity[J]. Advances in Water Resources, 2021, 148: 103836. doi: 10.1016/j.advwatres.2020.103836
[11]	Zhang Dongling, Zhu Juan, Lu Xu, et al. Wave packet solutions in a bounded equatorial ocean and its interannual and decadal variabilities[J]. Acta Oceanologica Sinica, 2019, 38(3): 45−59. doi: 10.1007/s13131-019-1398-2
[12]	卢姁, 张永鹏. 热带太平洋5月份海气联合动力统计诊断[J]. 海洋科学进展, 2009, 27(4): 411−420. doi: 10.3969/j.issn.1671-6647.2009.04.001 Lu Xu, Zhang Yongpeng. Dynamic statistics and diagnostic analysis for air-sea integrated system in the Tropical Pacific Ocean in May[J]. Advances in Marine Science, 2009, 27(4): 411−420. doi: 10.3969/j.issn.1671-6647.2009.04.001
[13]	张东凌, 何卷雄. 热带印度洋上层洋流的动力统计诊断[J]. 气候与环境研究, 2005, 10(3): 387−400. doi: 10.3878/j.issn.1006-9585.2005.03.12 Zhang Dongling, He Juanxiong. Dynamic statistic diagnosis of upper current in Tropical Indian Ocean[J]. Climatic and Environmental Research, 2005, 10(3): 387−400. doi: 10.3878/j.issn.1006-9585.2005.03.12
[14]	张东凌, 卢姁, 张铭. 印度洋冬季风异常海气环流耦合模态分析[J]. 大气科学, 2017, 41(5): 975−987. Zhang Dongling, Lu Xu, Zhang Ming. Analysis of abnormal air-sea coupled mode and the Indian winter monsoon[J]. Chinese Journal of Atmospheric Sciences, 2017, 41(5): 975−987.
[15]	卢姁, 包赟, 吕庆平. 热带太平洋上层洋流异常的复EOF分析[J]. 海洋预报, 2014, 31(2): 56−66. doi: 10.11737/j.issn.1003-0239.2014.02.009 Lu Xu, Bao Yun, Lü Qingping. CEOF analysis for upper current of tropic Pacific Ocean[J]. Marine Forecasts, 2014, 31(2): 56−66. doi: 10.11737/j.issn.1003-0239.2014.02.009
[16]	张东凌, 卢姁. 冬季热带印度洋上层流场异常模态分析[J]. 气候与环境研究, 2017, 22(4): 463−472. doi: 10.3878/j.issn.1006-9585.2016.15011 Zhang Dongling, Lu Xu. Analysis of abnormal upper circulation over the Tropical Indian Ocean in winter[J]. Climatic and Environmental Research, 2017, 22(4): 463−472. doi: 10.3878/j.issn.1006-9585.2016.15011
[17]	张东凌, 卢姁, 张铭. 1月份两类ENSO的海气环流模态分析[J]. 大气科学, 2019, 43(4): 741−758. Zhang Dongling, Lu Xu, Zhang Ming. Analysis of ocean-atmosphere circulation modes associated with two types of ENSO in January[J]. Chinese Journal of Atmospheric Sciences, 2019, 43(4): 741−758.
[18]	张东凌, 卢姁, 张铭. 春季WYRTKI急流异常及其与亚洲热带夏季风的关系[J]. 海洋学研究, 2018, 36(1): 16−26. doi: 10.3969/j.issn.1001-909X.2018.01.002 Zhang Dongling, Lu Xu, Zhang Ming. Wyrtki Jet anomaly in May and its relationship with Asian tropical summer monsoon[J]. Journal of Marine Sciences, 2018, 36(1): 16−26. doi: 10.3969/j.issn.1001-909X.2018.01.002
[19]	Houghton R W, Tourre Y M. Characteristics of low-frequency sea surface temperature fluctuations in the Tropical Atlantic[J]. Journal of Climate, 1992, 5(7): 765−772. doi: 10.1175/1520-0442(1992)005<0765:COLFSS>2.0.CO;2
[20]	Wang Bin, Wu Renguang, Fu Xiouhua, et al. Pacific-East Asian teleconnection: how does ENSO affect East Asian climate?[J]. Journal of Climate, 2000, 13(9): 1517−1536. doi: 10.1175/1520-0442(2000)013<1517:PEATHD>2.0.CO;2
[21]	Saji N H, Goswami B N, Vinayachandran P N, et al. A dipole mode in the Tropical Indian Ocean[J]. Nature, 1999, 401(6751): 360−363.