表面波的四阶Boussinesq方程

A Forth-order Boussinesq model for surface wave in uniform shear flow

对于剪切流场中强非线性表面波,在水深和特征波长的比为小量的假设前提下,建立了基于任意水深处速度的模型。通过推导得到其四阶Boussinesq方程,从而使模型的精度得到提高。而且由于整个推导过程中没有对波的振幅做任何假设,因此所得到的模型可用于任意振幅的波。

For the study of strongly nonlinear surface waves in shear flow,a velocity model of arbitrary water depth is established based on the assumption that the aspect ratio between wavelength and water depth is small.A fourth-order Boussinesq equation is derived to make the accuracy improved evidently.During the process,there is no limitation for the wave amplitude,so this model can be applied to arbitrary wave amplitude.