三层流体模型的非线性波演化方程  

Evolution Equations for Nonlinear Waves in a Three-layer Fluid Model

作　　者：朱勇[1] 

机构地区：[1]上海大学

出　　处：《水动力学研究与进展（A辑）》1995年第1期88-96,共9页Chinese Journal of Hydrodynamics

基　　金：上海市自然科学基金

摘　　要：本文在浅水波假定下,采用垂向平均方法导出了三层流体模型的推广的Boussinesq方程;同时也给出了三层流体模型基于Airy理论的很长的长波方程、线性化波动方程以及单向传播波的KdV方程。这些方程在退化情形可化为二层、单层流体模型的相应方程。In this paper, based on the Boussinesq's shallow-water wave assumption, the generalized Boussinesq equations for three-layer fluid model are derived by using the vertically-average method. The linearized wave equations, the very-long wave equations based on the Airy theory and the KdV equations for the three-layer fluid model are also presented. Those equations can be reduced to the corresponding equations for two-and one-layer fluid models in some special cases.

关 键 词：演化方程 分层流体 非线性波 水力学 

分 类 号：TV131.21[水利工程—水力学及河流动力学]