论文部分内容阅读
本文参照Ｚｈａｏ和Ａｎａｓｔａｓｉｏｕ的方法，导出了逼近Ｂｏｏｉｊ的非线性弥散关系的近似显式表达式，该式给出的结果与Ｂｏｏｉｊ的非线性弥散关系相当吻合。用中文显式非线性弥散关系，结合会弱非线性效应的缓坡方程，构成含非线性影响项缓坡方程的一个求解浅水波变形问题的方程组。用实验数据对本文模型进行验证，结果表明，显式非线性弥散关系在求解浅水波变形问题时，给出了更符合实验数据的结果。
In this paper, we derive the approximate explicit expression for the nonlinear dispersion relation of Booij by referring to the method of Zhao and Anastasiou. The result is in good agreement with Booij’s nonlinear dispersion relation. With the Chinese explicit nonlinear dispersion relationship and the gentle slope equation with weak nonlinear effect, an equation system for solving the shallow water deformation problem with the non-linear slope equation is constructed. The experimental data are used to verify the model. The results show that the explicit non-linear dispersion relation gives the results more in line with the experimental data when solving shallow water deformation.