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和谐WAF格式在带干河床浅水波方程中的应用
引用本文:杨金波,李订芳,陈华.和谐WAF格式在带干河床浅水波方程中的应用[J].华中科技大学学报(自然科学版),2012,40(2):54-57,61.
作者姓名:杨金波  李订芳  陈华
作者单位:1. 武汉大学数学与统计学院
2. 水资源与水电工程科学国家重点实验室,湖北武汉,430072
基金项目:国家自然科学基金资助项目
摘    要:采用二阶精度和谐的加权平均通量(WAF)格式对浅水波方程中的间断解和干湿边界问题进行了研究.用基于HLL求解器的WAF格式近似数值通量,中心差分格式离散地形源项,在干湿边界处重新定义数值河床,保证格式是和谐和扩展和谐的.最后模拟了带激波和干湿边界的浅水问题,精确地捕捉到了激波和干湿边界面,验证了该格式具有高分辨率、无振荡以及正确模拟干湿边界的能力.

关 键 词:浅水波方程  溃坝  干湿边界  加权平均通量(WAF)格式  源项

Application of a well-balanced WAF scheme for shallow water equations with wet/dry fronts
Yang Jinboa Li Dingfanga Chen Hua.Application of a well-balanced WAF scheme for shallow water equations with wet/dry fronts[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2012,40(2):54-57,61.
Authors:Yang Jinboa Li Dingfanga Chen Hua
Institution:Yang Jinboa Li Dingfanga Chen Huab(a School of Mathematics and Statistics;b State Key Laboratory of Water Resources and Hydropower Engineer Science,Wuhan University,Wuhan 430072,China)
Abstract:Second order accurate weighted average flux(WAF) was proposed for the shallow water equations to deal with dam break and wet/dry fronts,which satisfied the extended C-property.The WAF scheme based on the HLL(Harten,Lax and van Leer) solver was applied to numerical flux with the central difference approximation to source terms.The method of redefinition of the discretized bottom function was used at the wet/dry transitions,which could make the WAF scheme satisfy the extended C-property.Finally,several tests about dam break and wet/dry fronts were performed to show that the WAF scheme is high resolution,non-oscillatory and can handle the wet/dry fronts.
Keywords:Shallow water equations  dam break  wet/dry front  weighted averaged flux(WAF) scheme  source terms
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