EFFECTS OF VARYING BOTTOM ON NONLINEAR SURFACE WAVES  

作　　者：吴正人 程友良 王松岭 吕玉坤 

机构地区：[1]School of Energy and Power Engineering North China Electric Power University,Baoding 071003,Hebei Province,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第3期409-416,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.10272044)the Ph. D. Programs Foundation of Ministry of Education of China(No.20040079004)

摘　　要：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 backwardstep 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.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 backwardstep 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.

关 键 词：variation bottom resonant flow solitary wave fKdV equation pseudospectral method waterfall plot 

分 类 号：O353.2[理学—流体力学]