The second order spectrum of two-dimensional random waves

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Article Navigation > Acta Oceanologica Sinica > 1994 > (1): 23-29

Ding Pingxing, Sun Fu, Yu Zhouwen. The second order spectrum of two-dimensional random waves[J]. Acta Oceanologica Sinica, 1994, (1): 23-29.

Citation:

Ding Pingxing, Sun Fu, Yu Zhouwen. The second order spectrum of two-dimensional random waves[J]. Acta Oceanologica Sinica, 1994, (1): 23-29.

Ding Pingxing, Sun Fu, Yu Zhouwen. The second order spectrum of two-dimensional random waves[J]. Acta Oceanologica Sinica, 1994, (1): 23-29.

Citation:

Ding Pingxing, Sun Fu, Yu Zhouwen. The second order spectrum of two-dimensional random waves[J]. Acta Oceanologica Sinica, 1994, (1): 23-29.

1.
Institute of Estuatine and Coastal Research, East China Normal University, Shanghai 200062, China
2.
Laboratory of Physical Oceanography, Ocean University of Qingdao, Qingdao 266003, China

Abstract

On the basis of the second order solution of two-dimensional random gravity waves in finite uniform depth, which is tederived by a perturbation expansion method, the analytical expression of the second order spectrum is strictly deduced, and for infinite depth, the correct form of the kernel function is given for each octant domain. In fact,the present study improves and corrects the generally accepted results obtained by Tick[1959,Journal of Mathematics and Mechanics, 8(5),643-651].