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

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

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.

Keywords: fractal sea surface models nonlinear interaction numerical method

Received: 17 July 2009
Revised: 26 October 2009
Accepted manuscript online:

PACS:	92.10.Hm	(Ocean waves and oscillations)
	92.10.Dh	(Deep ocean processes)
	91.50.Iv	(Marine magnetics and electromagnetics)

Fund: 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'.

Cite this article:

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 2010 Chin. Phys. B 19 059201

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

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