Analysis of geographical and seasonal variability of the variable-coefficients extended Korteweg-de Vries equation in the northern South China Sea

LIAO Guanghong; HUANG Weigen; YUAN Yaochu; XU Xiaohua; YANG Chenghao; WANG Huiqun; CHEN Hong

doi:10.3969/j.issn.0253-4193.2013.05.005

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LIAO Guanghong, HUANG Weigen, YUAN Yaochu, XU Xiaohua, YANG Chenghao, WANG Huiqun, CHEN Hong. Analysis of geographical and seasonal variability of the variable-coefficients extended Korteweg-de Vries equation in the northern South China Sea[J]. Haiyang Xuebao, 2013, 35(5): 46-58. doi: 10.3969/j.issn.0253-4193.2013.05.005

Citation:

LIAO Guanghong, HUANG Weigen, YUAN Yaochu, XU Xiaohua, YANG Chenghao, WANG Huiqun, CHEN Hong. Analysis of geographical and seasonal variability of the variable-coefficients extended Korteweg-de Vries equation in the northern South China Sea[J]. Haiyang Xuebao, 2013, 35(5): 46-58. doi: 10.3969/j.issn.0253-4193.2013.05.005

Citation:

LIAO Guanghong, HUANG Weigen, YUAN Yaochu, XU Xiaohua, YANG Chenghao, WANG Huiqun, CHEN Hong. Analysis of geographical and seasonal variability of the variable-coefficients extended Korteweg-de Vries equation in the northern South China Sea[J]. Haiyang Xuebao, 2013, 35(5): 46-58. doi: 10.3969/j.issn.0253-4193.2013.05.005

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Analysis of geographical and seasonal variability of the variable-coefficients extended Korteweg-de Vries equation in the northern South China Sea

doi: 10.3969/j.issn.0253-4193.2013.05.005

1.
College of Information Science and Technology, Ocean University of China, Qingdao 266100, China;State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China
2.
State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China

Received Date: 2012-02-15

Abstract

Abstract

The phenomena of internal waves in the northern South China Sea show remarkable seasonal and interannual variance from satellite image. On the basis reanalysis data, the stratification characteristics, and the geographical and monthly variability of the veKdv equation coefficients, are analyzed. Seasonal pycnocline with maximal buoyancy frequency at about 20 m depth, begins to appear in February, is strongest in June and July, weakens in August, starts to dissipate in October. Another deeper pycnocline appears with maximal buoyancy frequency at about 80 m depth during August and November, and maximal buoyancy frequency moves to 120 m depth in winter. The seasonal pycnocline is very distinct from April to September. The double pycnocline is obvious from August to October. In winter, only the second pycnocline exists. Maxima buoyancy frequency in deeper basin is higher than that in shallow shelf area from January to March and from October to December, the configuration is opposite during May and September. The depth of maxima buoyancy frequency varies with season. It is deepest in winter, and is shallowest in June and July. It is shown that the variations of the long wave phase speed, the dispersion parameter and amplitude factor are mainly related to topography characteristics without obvious seasonal variation. The quadratic nonlinear parameter is very sensitive to variations of the vertical stratification, and the cubic nonlinear parameter depends on water depth and stratification condition. Holding higher occurrence in summer in the NSCS and the scarce existence of nonlinear internal wave on east of the Luzo Strait is interpreted by analyzing theses coefficient characteristic.

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References(37)

References

Vlasenko V, Stashchuk N,Hutter K. Baroclinic Tides: Theoretical Modeling and Observational Evidence[M]. Cambridge University Press, 2005.

Liu A K,Zhao Y H. Chapter 1. Overview of Nonlinear Internal Waves in the South China Sea[C]//Liu Antony K, Ho Chung-Ru, Liu Cho-Teng. Satellite Remote Sensing of South China Sea, 2008:1—24.

Ramp S R, Tang T Y, Duda T F, et al. Internal solitons in the northeastern South China Sea Part Ⅰ: source and deep water propagation [J]. IEEE J Oceanic Eng, 2004, 29: 1157—1181.

Yang Y J, Tang T Y, Chang M H, et al. Solitons northeast of Tung-sha Island during the ASIAEX Pilot Studies[J]. IEEE J Oceanic Eng, 2004, 29:1182—1199.

Fett R W, Rabe K. Satellite observation of internal wave refraction in the South China Sea[J]. Geophys Res Lett, 1977, 4(5): 189—191.

蔡树群, 甘子钧, 龙小敏. 南海北部孤立子内波的一些特征和演变[J]. 科学通报, 2001, 46(15):1245—1250.

蔡树群, 龙小敏, 黄企洲. 南海北部孤立子内波生成条件的初步数值研究[J]. 海洋学报, 2003,25(4):119—124.

Cai S Q, Long X M, Gan Z J. A numerical study of the generation and propagation of internal solitary waves in the Luzon Strait[J]. Oceanol Acta, 2002, 25: 51—60.

方文东, 施平, 龙小敏, 等. 南海北部孤内波的现场观测[J]. 科学通报, 2005, 50(13): 1400—1404.

Fan Z S, Zhang Y L, Song M. A study of SAR remote sensing of internal solitary waves in the north of the South China Sea: Ⅰ. Simulation of internal tide transformation[J]. Acta Oceanologica Sinica, 2008, 27 (4): 39—56.

Fan Z S, Zhang Y L, Song M. A study of SAR remote sensing of internal solitary waves in the north of the South China Sea:Ⅱ.Simulation of SAR signa tures of internal solitary waves[J]. Acta Oceanologica Sinica, 2008, 27(5): 37—48.

Hsu M K, Liu A K. Nonlinear internal waves in the South China Sea[J]. Canadian J Rem Sens, 2000, 26: 72—81.

Klymak J M, Pinkel R, Liu C T, et al. Prototypical solitons in the South China Sea[J]. Geophys Reseh Lett, 2006, 33(11): L11607.

Grimshaw R, Pelinovsky E, Kurkina O. Simulation of the transformation of internal solitary waves on oceanic shelves[J].J Phys Oceanogr, 2004,34: 2774—2791.

Holloway P E, Pelinovasky E, Talipova T. A generalised Korteweg-de-Vries model of internal tide transformation in the coastal zone[J]. J Geophys Res, 1999,104 (C8): 18333—18350.

Liu C T, Yang Y, Wang D W, et al. Chapter 2 Generation of monlinear internal waves in Luzon Strait[C]//Liu Antony K, Ho Chung-Ru, Liu Cho-Teng.Satellite Remote Sensing of South China Sea, 2008:25—45.

Zhao Z X, Alford M H. Source and propagation of internal solitary waves in the northeastern South China Sea[J]. J Geophys Res, 111, C11012, doi:10.1029/2006JC003644, 2006.

Orr M H, Mignerey P C. Nonlinear internal waves in the South China Sea: observation of the conversion of depression internal waves to elevation internal waves[J]. J Geophys Res, 108(C3): 3064, doi: 10.1029/2001JC0011632003.

Duda T F, Lynch J F, Irish J D, et al. Internal tide and nonlinear internal wave behavior at the continental slope in the northern South China Sea[J]. IEEE J Oceanic Eng, 2004, 29:1105—1130.

Liu A K, Zhao Y, Tang T Y, et al. A case study of internal wave propagation during ASIAEX-2001[J]. IEEE J Oceanic Eng, 2004, 29: 1144—1156.

Zheng Q A, Susanto R D, Ho C R, et al. Statistical and dynamical analyses of generation mechanisms of solitary internal waves in the northern South China Sea[J]. J Geophys Res, 112, C03021, doi: 10.1029/2006JC003551. 2007.

Cai S Q, Long X, Dong D P,et al. Background current affects the internal wave structure of the northern South China Sea[J]. Progress in Natural Science, 2008,18:585—589.

石新刚,范植松,李培良. 正压潮流对南海东北部深水海域大振幅内孤立波影响的数值模拟[J]. 中国海洋大学学报, 2009, 39(sup.Ⅱ): 297—302.

Fan Z S, Shi X G, Liu A K, et al. Effects of ebb and flood background currents on nonlinear internal solitary waves in South China Sea[J]. Chinese Journal of Oceanology and Limnology, in press.

Pelinovsk Y E, Talipova T, Ivanov V. Estimations of nonlinear properties of internal wave field off the Israel coast[J]. Nonlinear Process Geophys, 1995, 2:80—88.

Poloukhin N V, Pelinovsky E N, Talipova T G, et al. On the effect of shear currents on the vertical structure and kinematic parameters of internal waves[J]. Oceanology, 2004, 44:22—29.

Grimshaw R, Pelinovsk Y E, Talipova T. Modeling internal solitary waves in the coastal ocean[J]. Surveys in Geophysics, 2007, 28:273—298.

Grimshaw R, Pelinovsky E, Talipova T, et al. Internal solitary waves:propagation, deformation and disintegration[J]. Nonlinear Processes Geophys, 2010,17:633—649.

Grimshaw R. Evolution equations for long nonlinear waves in stratified shear flows[J]. Stud Appl Math, 1985, 65:159—188.

韩桂军,等. 中国近海及邻近海域海洋再分析技术报告[R]. 2009, 国家海洋信息中心(http://www.cora.net.cn/).

Smith W H, Sandwell D T. Global seafloor topography from satellite altimetry and ship depth soundings[J]. Science, 1997, 277(19): 1957—1962.

蔡树群,甘子钧,仇德忠. 三次样条插值在浮性频率计算中的应用[J].热带海洋,1997,16(3): 54—62.

Cai S Q, Long X M, Wu R H, et al. Geographical and monthly variability of the first baroclinic Rossby radius of deformation in the South China Sea[J]. Journal of Marine Systems, 2008, 74(1/2): 711—720.

Shi X G, Fan Z S. A numerical calculation method for eigenvalue problems of nonlinear internal waves[J]. Journal of Hydrodynamics, 2009, 21(3): 373—378.

Liu C T, Pink R, Hsu M K, et al. Nonlinear internal waves from the Luzon Strait[J]. EOS, Transactions, American Geophysical Union, 2006, 87(42): 449—450.

Broutman D, Rottman J W, Eckermann S D. Ray Methods for Internal waves in the atmosphere and ocean[J]. Annu Rev Fluid Mech, 2004, 36:233—53.

Pelinovsk Y E, Talipova T, Stepanyant Y. Modeling of nonlinear internal wave propagation in the horizontally inhomogeneous ocean[J]. Izvestiya, Atmospheric and Oeeanic, Physics, 1994, 38:79—85.

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