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考虑表面张力的作用,研究了不可压缩、无粘性流体流过变化壁面时的共振流动,分析了不同的底部壁面变化对非线性表面波的影响.在导出非线性表面波遵循的fKdV方程后,利用拟谱方法进行数值模拟,用Matlab软件绘制瀑布图,由此得出结论:上凸底部上的波可以看成是向前凸台阶和向后凸台阶分别向前后散射发展的结果,二者不发生相互作用;下凹壁面的波形是向前凹台阶和向后凹台阶相互作用的结果;某些组合式底部的波形是上凸和下凹相互作用的结果.
Considering the effect of surface tension, the resonant flow of incompressible and non-viscous fluid flowing through the changing wall is studied and the influence of different bottom wall changes on the nonlinear surface wave is analyzed.After deriving the fKdV equation followed by the nonlinear surface wave, Using the pseudo-spectral method to simulate the numerical simulation and draw the waterfall map with Matlab software, it is concluded that the wave on the convex bottom can be regarded as the result of forward and backward scattering development of forward convex step and backward convex step, respectively No interaction occurs; the waveform of the concave wall surface is the result of the interaction of the forward concave step with the concave concave step; and the waveforms of some combined bottoms are the result of the interaction between the convex and the concave.