浅水长波方程及其湖泊流动的数值模拟(为庆贺游兆永教授60寿辰而作)  

The Shallow Water Equation and Its Numerical Simulation to a Lake Flow

作　　者：樊必健[1] 

机构地区：[1]西安交通大学

出　　处：《工程数学学报》1991年第2期149-158,共10页Chinese Journal of Engineering Mathematics

摘　　要：本文在浅水长波假设条件下,从三维Navier-Siokes方程出发,推导出以平均流速和水面波高振幅为基本变量的二维浅水长波方程.在此基础上,以有限元方法对湖泊流动现象进行了数值模拟,并以图形对计算结果进行了分析。In this paper, the shallow water equation with average velocity and water elevation as basic variables is derived from 3-D Navier-Stokes equation under certain assumptions. Based on that equation, a numerical simuation to a lake by finite element method has been made, the numerical result showed the good adaptability of this equation and the numerical scheme appeared above to the shallow water problem.

关 键 词：浅水长波方程 有限元法 湖泊流动 

分 类 号：O242.21[理学—计算数学]