组合型总变差不增格式在溃坝流动计算中的比较  

Comparative Study Using Hybrid Type of Total Variation Diminishing(TVD) Schemes for Computation of Dam-Break Flows

作　　者：王嘉松[1] 何友声[1] 倪汉根[2] 

机构地区：[1]上海交通大学建筑工程与力学学院,上海200030 [2]大连理工大学土木工程系,大连116024

出　　处：《上海交通大学学报》2000年第8期1040-1043,1052,共5页Journal of Shanghai Jiaotong University

摘　　要：不同形式 TVD格式存在数值性能上的差异 ,干底情况下的溃坝流动计算是数值模拟的难点 .本文引入单参数和双参数限量函数 ,建立了 Saint- Venant方程通量限制的组合型 TVD格式 ,作湿底和干底溃坝流动的数值计算 ,并分别与 Stoker理论解进行对比 ,揭示出不同限量函数在耗散性和压制性及不同水深比溃坝模拟方面存在性能上的差异 .定义了坝址处水深的扭曲系数 ,据此综合确定了最优限量函数 ,并成功地预报了水深比为 0 .0 0 0 8时的溃坝波 .这为多维及干底溃坝问题的计算提供了良好的数值手段 .There are differences in numerical performance when using different types of TVD( total varia- tion diminishing) schemes.It is difficult for the computation of dam- break flows in dry- bed case.In this paper,a hybrid type of TVD scheme for the Saint Venant equations with the one- parameter limiters ( OPL) and two- parameter limiters( TPL) were presented for solving dam- break problems in wet- bed and dry- bed cases.The numerical results with various limiters were compared with the Stoker's exact solu- tions.It reveals different numerical performances in aspects of the dissipative and compressible features of the limiters and the simulations of different water depth ratios.Distortion coefficients of water depth at dam site were defined.An optimum- selected limiter was determined through synthetical analysis.Finally, dam- break flows were computed successfully with the present limiter at the water depth ratio of0 .0 0 0 8. It can provide a good numerical method for solving multi- dimensional and dry- bed dam- break problems.

关 键 词：溃坝 总变差不增格式 限量函数 溃坝流动 

分 类 号：TV139.231[水利工程—水力学及河流动力学]