EFFECTS OF VARYING BOTTOM ON NONLINEAR SURFACE WAVES

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EFFECTS OF VARYING BOTTOM ON NONLINEAR SURFACE WAVES

The resonant flow of an incompressible, inviscid fluid with surface tension on varying bottoms was researched. The effects of different bottoms on the nonlinear surface waves were analyzed. The waterfall plots of the wave were drawn with Matlab according to the numerical simulation of the fKdV equation with the pseudo-spectral method. From the waterfall plots, the results are obtained as follows: for the convex bottom, the waves system can be viewed as a combination of the effects of forward-step forcing and backward step forcing, and these two wave systems respectively radiate upstream and downstream without mutual interaction. Nevertheless, the result for the concave bottom is contrary to the convex one. For some combined bottoms, the wave systems can be considered as the combination of positive forcing and negative forcing.水利论文-}s@9L'j&rW

作 者: WU Zheng-ren CHENG You-liang WANG Song-ling L(U) Yu-kun  
作者单位:School of Energy and Power Engineering, North China Electric Power University, Baoding 071003, Hebei Province, P. R. China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2006 27(3) 
分类号:O351.3 
关键词:variation bottom   resonant flow   solitary wave   fKdV equation   pseudospectral method   waterfall plot  
机标关键词:numerical simulationsurface tensionsurface wavesresonant flowfKdV equation 
基金项目:the National Natural Science Foundation of China,the Ph. D. Programs Foundation of Ministry of Education of China 
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