计算力学学报2012，Vol.29Issue(4)：604-608,615,6.
不规则地形上浅水模拟平衡性的实现
Method for keeping balance in shallow-water simulation over irregular topography
摘要
Abstract
Numerical imbalance may arise when a numerical simulation of water movement using shallow- water equations （SWEs） is performed on an irregular natural riverbed form. A mathematical model is es- tablished directly by applying Rocks method in FVM pattern based upon irregular quadri-lateral grids and some imbalance emerges. Based on analyzing the essential meaning of this numerical discretization method,partial surface method （PSM） is brought forward to eradicate the imbalance in continuity equa- tion; as to the motion equations,a new method is firstly proposed in this paper which imitates the con- struction of numerical flux of Roe＇s method. Finally, we adopt the revised mathematical model in simu- lating flow in Jiamusi Reach of the Songhuajiang River and the result shows perfect performance in con- servation, convergence and balance.关键词
浅水方程/平衡性/源项/有限体积法Key words
shallow-water equations/balancea property/source terms/FVM分类
数理科学引用本文复制引用
王党伟,陈建国,吉祖稳..不规则地形上浅水模拟平衡性的实现[J].计算力学学报,2012,29(4):604-608,615,6.基金项目
国家“973”计划 （）
水利部公益性行业专项 （）
中国水科院科研专项（泥集1130）资助项目. （）
