摘要
基于三角形非结构网格,采用有限体积法建立了平面二维水动力学模型,用于模拟复杂边界和地形下溃坝洪水的运动过程。该文采用中心迎风格式求解界面数值通量,并通过引入限制器技术对界面两侧变量进行重构,使其在空间上具有两阶精度。采用局部改变河床高程方法对界面重构变量进行修正来提高模型的干湿处理能力。该模型既能保证数值格式的和谐性,又能够确保整个计算过程中水深是非负的。通过采用三个典型算例的验证和一个实例溃坝洪水过程的模拟分析,计算结果表明:该模型能很好地捕捉复杂地形和边界条件下洪水演进过程中的洪水锋面运动、干湿节点转化、水深和流量变化等过程,具有很强的稳定性、水量守恒性和激波捕捉能力,特别适用于具有复杂地形和阻水结构物的溃坝洪水演进案例分析。
Based on the unstructured triangular grids, a two-dimensional hydrodynamic model using finite volume method is developed to simulate dam-break flood propagation over complicated topography with complex geometries. A central upwind scheme is used to calculate the flux at the interface and second-order accuracy in space is achieved by using limiter techniques.The local bed modification method is adopted to modify flow variables at interface to simulate wetting and drying. The proposed model can both preserve the well-balanced property and guarantee the positivity of water depth in the computations. The model is tested by three benchmark tests and a real life dam-break flood, and the results show that the model can capture the moving flood fronts, wetting and drying and time histories of water depth and discharge with a good accuracy for the flood over complicated topography with complex geometries. The developed model has been proved to have strong capture capacity of shock wave and preserve mass conservation, which can be used to simulate dam-break flood over complicated topography with water blocking structures.
作者
杨哲豪
吴钢锋
张科锋
董平
YANG Zhe-hao;WU Gang-feng;ZHANG Ke-feng;DONG Ping(Institute of Hydraulic Structures and Water Environment,Zhejiang University,Hangzhou 310058,China;Ningbo Institute of Technology,Zhejiang University,Ningbo 315100,China;School of Engineering,University of Liverpool,Liverpool L69 3GH,United Kingdom)
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2019年第4期520-528,共9页
Chinese Journal of Hydrodynamics
基金
浙江省自然科学基金(LQ19E090006)
浙江省教育厅一般项目(Y201737690)~~
关键词
溃坝洪水
非结构网格
有限体积法
中心迎风格式
水深非负性
水量守恒
dam break flood
unstructured grids
finite volume method
central upwind scheme
non-negative water depth
mass conservation
