河道二维非恒定流的数值模拟  

The Numerical Simulation of Two-Dimensional Unsteady Flow of River

作　　者：张莉[1] 刘松涛[2] 

机构地区：[1]淮阴工学院数理学院 [2]江苏省水文水资源勘测局淮安分局

出　　处：《淮阴工学院学报》2009年第5期72-76,共5页Journal of Huaiyin Institute of Technology

摘　　要：基于贴体平面二维正交曲线网格,建立了河道二维非恒定流的数学模型,采用交替方向隐格式法(Alternating Direction Implicit Method简称ADI法)对二维浅水方程进行了差分离散求解。在离散过程中,对对流项采用一阶迎风格式,以克服由于对流项采用中心差分而引起的不稳定。以长江南通河段为例,对模型进行了验证计算。计算结果表明,模型能较好地模拟复杂条件下天然河道的水流基本规律。On the basis of body - fitted orthogonal eurvilinear grids, this paper establishes a mathematical model of two - dimensional unsteady flow of river. The alternating directional implicit （ADI） method was adopted to solve the two - dimensional depth averaged shallow water equations. In the discrete process, the first - order upwind difference scheme was applied to the convection item to overcome the instability caused by the application of centered finite difference procedure to the convection item. The established model and the calculation method are used for the Nantong section of Yangtze River, and the result shows that the present model can effectively reflect the basic rule of water current of river under complex conditions.

关 键 词：浅水方程 正交曲线网格 ADI法 一阶迎风格式 

分 类 号：O24[理学—计算数学]