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,
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,
基金
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)
the wind and waves component of the Canadian Space Agency GRIP project entitled ‘Building Satellite Data into Fisheries and Oceans Operational Systems’
