A two scale nonlinear fractal sea surface model in a one dimensional deep sea

doi:10.1088/1674-1056/19/5/059201

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 59201-059201.doi: 10.1088/1674-1056/19/5/059201

• • 上一篇

A two scale nonlinear fractal sea surface model in a one dimensional deep sea

WilliamPerrie¹, 谢涛², 邹光辉³, 旷海兰³, 陈伟³

(1)Fisheries and Oceans Canada, Bedford Institute of Oceanography, B2Y 4A2, Dartmouth, NS, Canada; (2)School of Information Engineering of Wuhan University of Technology, Wuhan 430070, China;Fisheries and Oceans Canada, Bedford Institute of Oceanography, B2Y 4A2, Dartmouth, NS, Canada; (3)School of Information Engineering of Wuhan University of Technology, Wuhan 430070, China

收稿日期:2009-07-17 修回日期:2009-10-26 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
Project supported by Chinese National High Technology Research and Development (863) Program (Grant No.~2007AA12Z170), National Natural Science Foundation of China (Grant No.~40706058), Wuhan Youth Science and Technology Chen Guang Program (Grant No.~200850731388) and the wind and waves component of the Canadian Space Agency GRIP project entitled `Building Satellite Data into Fisheries and Oceans Operational Systems'.

A two scale nonlinear fractal sea surface model in a one dimensional deep sea

Xie Tao(谢涛)^a)b)^†,Zou Guang-Hui(邹光辉)^a), William Perrie^b), Kuang Hai-Lan(旷海兰)^a), and Chen Wei(陈伟)^a)

^a School of Information Engineering of Wuhan University of Technology, Wuhan 430070, China; ^b Fisheries and Oceans Canada, Bedford Institute of Oceanography, B2Y 4A2, Dartmouth, NS, Canada

Received:2009-07-17 Revised:2009-10-26 Online:2010-05-15 Published:2010-05-15
Supported by:
Project supported by Chinese National High Technology Research and Development (863) Program (Grant No.~2007AA12Z170), National Natural Science Foundation of China (Grant No.~40706058), Wuhan Youth Science and Technology Chen Guang Program (Grant No.~200850731388) and the wind and waves component of the Canadian Space Agency GRIP project entitled `Building Satellite Data into Fisheries and Oceans Operational Systems'.

摘要/Abstract

摘要： Using the theory of nonlinear interactions between long and short waves, a nonlinear fractal sea surface model is presented for a one dimensional deep sea. Numerical simulation results show that spectra intensity changes at different locations (in both the wave number domain and temporal-frequency domain), and the system obeys the energy conservation principle. Finally, a method to limit the fractal parameters is also presented to ensure that the model system does not become ill-posed.

Abstract: Using the theory of nonlinear interactions between long and short waves, a nonlinear fractal sea surface model is presented for a one dimensional deep sea. Numerical simulation results show that spectra intensity changes at different locations (in both the wave number domain and temporal-frequency domain), and the system obeys the energy conservation principle. Finally, a method to limit the fractal parameters is also presented to ensure that the model system does not become ill-posed.

Key words: fractal sea surface models, nonlinear interaction, numerical method

中图分类号: (Ocean waves and oscillations)

92.10.Hm

92.10.Dh (Deep ocean processes) 91.50.Iv (Marine magnetics and electromagnetics)

谢涛, 邹光辉, WilliamPerrie, 旷海兰, 陈伟. A two scale nonlinear fractal sea surface model in a one dimensional deep sea[J]. 中国物理B, 2010, 19(5): 59201-059201.

Xie Tao(谢涛),Zou Guang-Hui(邹光辉), William Perrie, Kuang Hai-Lan(旷海兰), and Chen Wei(陈伟). A two scale nonlinear fractal sea surface model in a one dimensional deep sea[J]. Chin. Phys. B, 2010, 19(5): 59201-059201.

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A two scale nonlinear fractal sea surface model in a one dimensional deep sea

A two scale nonlinear fractal sea surface model in a one dimensional deep sea

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