对流-扩散型浅水方程组的数值计算方法  

Numerical Methods of the Depth-Integrated Shallow Water Equations

作　　者：吴兆春[1] 

机构地区：[1]上海应用技术学院城市建设与安全工程学院,上海201418

出　　处：《上海应用技术学院学报（自然科学版）》2012年第2期85-88,共4页Journal of Shanghai Institute of Technology: Natural Science

基　　金：上海应用技术学院科技发展基金项目(KJ 2009-16)

摘　　要：介绍了欧拉预估-校正法结合有限分析法(FAM)应用于对流-扩散型浅水方程组的数值计算方法。该方法采用了单一的计算网格系统,动量方程的离散采用了有限分析法,连续方程的离散计算采用了欧拉预估-校正法。数值模拟表明该方法计算过程简便,具有较好的收敛性,计算结果能较好地反映河道流动的特点。The numerical method using Euler＇ s predictor- corrector technique and the finite analysis method to solve the depth- integrated shallow water equations is introduced in the paper. Based on a single mesh the convection- diffusion equations （the momentum equations） are calculated with the finite analysis method, while the continuity equation is solved with Euler＇s predictor - corrector technique. The numerical simulation shows that the calculation process is very simple：, and with excellent convergence. The caculation results can well reflect the flowing characteristics of rivers.

关 键 词：欧拉预估-校正法 有限分析法(FAM) 浅水方程 数值模拟 

分 类 号：O352[理学—流体力学]