摘要
波的传播在物理学研究中是非常经典的问题,水波的传播对堤坝修建,海浪能量的利用有很大的意义,本文和电磁场方程组相类比,结合物理思想分析归纳出浅水方程,使用微扰法将浅水方程进行线性化,得到浅水方程的色散关系并利用实验进行验证.之后类比电磁波传播定律的推导,得到浅水波的传播规律,并使用了Lax-Wendroff格式数值模拟在深度变化的水中浅水波的传播.得到浅水波传播最终都是沿着等水深线垂线传播的结论.
The propagation of waves is a classic problem in the study of physics.The propagation of water waves has significant implications for dam construction and harnessing wave energy.This paper draws an analogy with the electromagnetic field equations.Combining physical principles,we deduce the shallow water equations.By applying the perturbation method,the shallow water equations are linearized,resulting in the dispersionrelation,which is experimentally validated.Subsequently,analogous to the derivation of electromagnetic wave propagation laws,the propagation laws of shallow water waves are obtained.Using the Lax-Wendroff scheme,the propagation of shallow water waves in water of varying depths is numerically simulated.The conclusion is that the propagation of shallow water waves ultimately follows lines perpendicular to lines of equal water depth.
作者
孙楚昊
余聪
SUN Chu-hao;YU Cong(School of Physics and Astronomy,Sun Yat-Sen University,Zhuhai,Guangdong 519082,China)
出处
《大学物理》
2025年第4期67-73,118,共8页
College Physics
基金
国家自然科学基金(12373071)资助。
关键词
电磁场方程类比
浅水波
传播
electromagnetic field equation analogy
shallow water waves
propagation
