内孤立波沿缓坡地形传播特性的实验研究

杜辉; 魏岗; 张原铭; 徐小辉

doi:10.7498/aps.62.064704

摘要

以南中国海东北部海域底部缓坡地形为背景, 在大型重力式分层流水槽中模拟了下凹型内孤立波沿缓坡地形传播过程中的浅化、破碎、分裂等现象, 利用分层染色标识方法和多点组合探头阵列技术对内孤立波沿缓坡地形演化特征进行了定性分析和定量测量. 实验表明: 浅化效应使内孤立波传播速度减小, 对大振幅内孤立波具有抑制作用, 对小振幅波具有放大效应; 浅化效应可导致内孤立波的剪切失稳及破碎, 还可导致大振幅内孤立波的分裂. 利用Miles稳定性理论可定性描述内孤立波沿缓坡地形传播时发生不稳定状态的位置, 实验结果与理论分析相符合.

关键词:

Abstract

In a stratified fluid tank, experiments on the propagating, shoaling and breaking of the internal solitary waves over a gentle slope similar to the topography in the northeast of the South China Sea are conducted. The qualitative analysis on the evolving characteristics of the internal solitary waves is accomplished by use of the dye-tracing technique, and their quantitative measurement is carried out by using the multi-channel conductivity-probe arrays. It is shown that due to the shoaling effect the internal solitary waves with large amplitude are restrained, but the waves with small amplitude are magnified. The shoaling effect will also lead to the decrease of the propagation velocity of the internal solitary waves. Further, the shoaling effect will bring about strong shear flow instability, and then makes the internal solitary wave broken. The breaking wave will result in the fission from one large amplitude wave into several small amplitude waves with the same polarity. By means of the Mile's stability theory, the instable happening-location of the internal solitary wave over the gentle slope can be described through the Richardson number. The experimental results accord well with the theoretical analyses.

Keywords:

作者及机构信息

1.
解放军理工大学气象海洋学院, 南京 211101

基金项目: 国家自然科学基金(批准号: 11072267)、国家高技术研究发展计划(批准号: 2008AA09Z316)和解放军理工大学预研基金(批准号: KYLYZLXY1202)资助的课题.

Authors and contacts

1.
College of Meteorology and Oceanography, PLA University of Science and Technology, Nanjing 211101, China

Funds: Project supported by the National Science Foundation of China (Grant No. 11072267), the National High Technology Research and Development Program of China (Grant No. 2008AA09Z316), Pre-Research Foundation of PLA University of Science and Technology, China (Grant No. KYLYZL XY 1202).

参考文献

[1]	Cai S Q, Xie J S, He J L 2012 Surv. Geophys. 33 927
[2]	Liu A K 1988 J. Geophys. Res. 93 12317
[3]	Holloway P E, Pelinovasky E, Talipova T 1999 J. Geophys. Res. 104 18333
[4]	Djordjevic Y D, L G Redekopp 1978 J. Phys. Oceanogr. 6 1016
[5]	Cai S Q, Xie J S 2010 J. Geophys. Res. 115 1
[6]	Meng J M, Zhang Z L 2001 J. Hydrodyn. 3 88
[7]	Su X B, Wei G, Dai S Q 2005 Appl. Math. Mech. 26 1143
[8]	Lombard P N, J J Riley 1996 Dyn. Atmos. Oceans 24 345
[9]	Garrett C 2001 J. Phys. Oceanogr. 31 962
[10]	Legg S, Aderoft A 2003 J. Phys. Oceanogr. 33 2224
[11]	Shrira V I, Voronov V V, Sazonov I A 2000 J. Fluid Mech. 425 187
[12]	Kao T W, Pan P S, Renouard D 1985 J. Fluid Mech. 195 19
[13]	Helfrich K R, Melvilie W K 1984 J. Fluid Mech. 149 305
[14]	Wallace B C, Wilkinson D L 1988 J. Fluid Mech. 191 419
[15]	Helfrich K R 1992 J. Fluid Mech. 243 133
[16]	Chen C Y, Hsu J R C, Chen H H, Kuo C F, Cheng M H 2007 Ocean Eng. 34 157
[17]	Fructus D, Carr M, Grue J, Jensen A, Davies P A 2009 J. Fluid Mech. 620 1
[18]	Wei G, Wu N, Xu X H, Su X B, You Y X 2011 Acta Phys. Sin 60 044704 (in Chinese) [魏岗, 吴宁, 徐小辉, 苏晓冰, 尤云祥 2011 60 044704]
[19]	Wei G, Su X B, Yang J G, Wang Q H Chinese Patent 201010103635.6 [2012-02-01]
[20]	Whitham G B 1974 Linear and Nonlinear Waves (New York: John Wiely and Sons, Inc)
[21]	Fang X H, Du T 2004 Fundamental of Oceanic Internal Waves and Internal Waves in the China Seas (Qingdao: China Ocean University Press) p300 (in Chinese) [方欣华, 杜涛 2004 海洋内波基础和中国海内波(青岛: 中国海洋大学出版社)第300页]
[22]	Cai S Q, Gan Z J 1995 Tropic Oceanology 14 2229 (in Chinese) [蔡树群, 甘子钧 1995 热带海洋 14 2229]
[23]	Miles J W 1961 J. Fluid Mech. 10 496
[24]	Li Q 2008 Ph. D. Dissertation (Qingdao: China Ocean University) (in Chinese) [李群 2008 博士学位论文(青岛: 中国海洋大学)]
[25]	Miles J W 1963 J. Fluid Mech. 16 209

施引文献

[1]	Cai S Q, Xie J S, He J L 2012 Surv. Geophys. 33 927
[2]	Liu A K 1988 J. Geophys. Res. 93 12317
[3]	Holloway P E, Pelinovasky E, Talipova T 1999 J. Geophys. Res. 104 18333
[4]	Djordjevic Y D, L G Redekopp 1978 J. Phys. Oceanogr. 6 1016
[5]	Cai S Q, Xie J S 2010 J. Geophys. Res. 115 1
[6]	Meng J M, Zhang Z L 2001 J. Hydrodyn. 3 88
[7]	Su X B, Wei G, Dai S Q 2005 Appl. Math. Mech. 26 1143
[8]	Lombard P N, J J Riley 1996 Dyn. Atmos. Oceans 24 345
[9]	Garrett C 2001 J. Phys. Oceanogr. 31 962
[10]	Legg S, Aderoft A 2003 J. Phys. Oceanogr. 33 2224
[11]	Shrira V I, Voronov V V, Sazonov I A 2000 J. Fluid Mech. 425 187
[12]	Kao T W, Pan P S, Renouard D 1985 J. Fluid Mech. 195 19
[13]	Helfrich K R, Melvilie W K 1984 J. Fluid Mech. 149 305
[14]	Wallace B C, Wilkinson D L 1988 J. Fluid Mech. 191 419
[15]	Helfrich K R 1992 J. Fluid Mech. 243 133
[16]	Chen C Y, Hsu J R C, Chen H H, Kuo C F, Cheng M H 2007 Ocean Eng. 34 157
[17]	Fructus D, Carr M, Grue J, Jensen A, Davies P A 2009 J. Fluid Mech. 620 1
[18]	Wei G, Wu N, Xu X H, Su X B, You Y X 2011 Acta Phys. Sin 60 044704 (in Chinese) [魏岗, 吴宁, 徐小辉, 苏晓冰, 尤云祥 2011 60 044704]
[19]	Wei G, Su X B, Yang J G, Wang Q H Chinese Patent 201010103635.6 [2012-02-01]
[20]	Whitham G B 1974 Linear and Nonlinear Waves (New York: John Wiely and Sons, Inc)
[21]	Fang X H, Du T 2004 Fundamental of Oceanic Internal Waves and Internal Waves in the China Seas (Qingdao: China Ocean University Press) p300 (in Chinese) [方欣华, 杜涛 2004 海洋内波基础和中国海内波(青岛: 中国海洋大学出版社)第300页]
[22]	Cai S Q, Gan Z J 1995 Tropic Oceanology 14 2229 (in Chinese) [蔡树群, 甘子钧 1995 热带海洋 14 2229]
[23]	Miles J W 1961 J. Fluid Mech. 10 496
[24]	Li Q 2008 Ph. D. Dissertation (Qingdao: China Ocean University) (in Chinese) [李群 2008 博士学位论文(青岛: 中国海洋大学)]
[25]	Miles J W 1963 J. Fluid Mech. 16 209

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