摘要
溃坝问题在水利工程的设计管理中具有重要地位,也是广大学者长期以来一直关注和研究的课题。回顾和总结了国内外对溃坝水流演进问题的研究进展:介绍了溃坝水流的数学模型及解析解法存在的困难,进而讨论了数值解法的最新进展;论述了求解溃坝水流一维问题的有限差分法、近似黎曼解的Godunov格式法、Boltzmann法、KFVS法和二维问题的TVD格式法、间断有限元法、有限体积法、特征线法,并分析了各种方法的适用范围和优缺点,及讨论了限制函数的使用;介绍了利用自由水面追踪方法计算溃坝水流的研究进展,并根据目前存在的不足和实际工程的需要,提出了进一步研究的方向和发展趋势。
The dam-break problem is important in the design and management of hydraulic engineering, which has always been studied. This paper reviews and summarizes the progress in this field as follows ： the mathematical model and the difficulty of the analytical solutions is introduced; discusses the latest progress of the numerical solutions is discussed; the finite difference method, the Godunov method, the Boltzmann method, and the KFVS method of one-dimensional dam-break problem are introduced; the TVD method, the discontinuous finite element method, the finite volume method and characteristic method of two-dimensional dam-break problem are discussed ; the applicability, the advantage and the disadvantage of each method are analyzed ; and the progress in the numerical calculations of flow of fluid with free surface are presented.Meanwhile, According to the shortage at present and the need of the engineering field, the research direction and the developmental trend are proposed.
出处
《水科学进展》
EI
CAS
CSCD
北大核心
2006年第1期129-135,共7页
Advances in Water Science
关键词
溃坝水流
数值模拟
研究进展
dam-break water flow
numerical simulation
research progress
