内机械激波——海洋激流的一种解释

Internal Mechanical Shock Wave: an Explanation of the Ocean Shock Current

采用Lagrange坐标和Hamilton原理,推导了二维两层浅水系统的位移法内波方程,并在此基础上研究了二维内机械激波.通过具体的数值算例分析发现内机械激波具有流速大、持续时间短、空间范围狭小、水面存在突变的特点,指出海洋激流就是内机械激波.内机械激波同样也为海洋断崖提供了一种解释.

With the Lagrangian coordinate and the Hamiltonian principle,the 2D displacement internal wave equation was derived. Based on the 2D displacement internal wave equation,the 2D internal mechanical shock wave in the 2-layer shallow water system was analyzed numerically and analytically. In terms of the numerical examples,it is found that the internal mechanical shock wave have 4 characteristics,i.e.,high velocity,short duration,narrow space range and shock change of water surface,which means the ocean shock current is essentially an internal mechanical shock wave. The internal mechanical shock wave also provides an explanation for the ocean cliffs.