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本文采用波数矢量无旋和波能守恒方程建立了一个考虑非线性作用的浅水水波变形数值模型，模型中采用Battjes关系与波数矢量无旋，波能量守恒方程一起来求解波浪在浅水中变形的波浪要素，在波能守恒方程中考虑了底摩擦的影响。利用本文提出的数值模型对一个斜坡浅滩水域波浪折射绕射现象进行了验证，验证计算中用一个非线性经验弥散关系近似浅水水波变形的非线性效应并与用线性弥散关系的计算结果进行了比较，结果说明使用非线性弥散关系比使用线性弥散关系的结果与试验结果更加吻合，证明在浅水水域波浪的非线性作用的影响是不容忽视的。
In this paper, a numerical model of shallow water wave deformation considering non-linearity is established by using wavenumber vector non-rotating and wave energy conservation equations. The model uses Battjes relationship and wavenumber vector rotationless and wave energy conservation equations together to solve wave deformation in shallow water Element, taking into account the effect of underfriction in the wave energy conservation equation. Using the numerical model proposed in this paper, the phenomenon of wave refraction and diffraction in a shallow sloping bank waters is verified. The nonlinear effect of shallow water wave deformation is verified by a nonlinear empirical dispersion relationship and compared with the linear dispersion relation The results show that the nonlinear dispersion relationship is more consistent with the experimental results than the linear dispersion relationship, which proves that the influence of the nonlinear effect of waves in shallow waters can not be neglected.