基于结构网格的溃坝水流数值模拟  

Numerical simulation of dam-break flow based on structured grids

作　　者：曹引 冶运涛[2] 梁犁丽[2] 蒋云钟 赵红莉[2] 王浩[1,2] 严登明 CAO Yin;YE Yuntao;LIANG Li;JIANG Yunzhong;ZHAO Hongli;WANG Hao;YAN Dengmmg(State Environmental Protection Engineering Center for Pollution Control in Textile Industry, College of Environmental Science and Engineering, Donghua University, Shanghai 201620, China;Department of Water Resources, China Institute of Water Resources and Hydropower Research, Beijing 100038, China)

机构地区：[1]东华大学环境科学与工程学院国家环境保护纺织工业污染防治工程技术中心,上海201620 [2]中国水利水电科学研究院,北京100038

出　　处：《水科学进展》2017年第6期868-878,共11页Advances in Water Science

基　　金：国家重点研发计划资助项目(2017YFC0405801);国家自然科学基金资助项目(51309254)~~

摘　　要：针对溃坝水流数值模拟面临的复杂地形和不规则边界等问题,基于结构网格建立了适应复杂地形和不规则边界的溃坝水流数值模拟有限体积模型(Hydro M2D)。模型基于具有守恒特性的二维浅水方程,利用HLLC格式的近似Riemann解计算网格界面通量,利用MUSCL-Hancock法不断向前积分,使模型在时空上具有二阶精度;对源项进行离散处理确保模型的稳定性;模型引入有效干湿边界和不规则地形边界处理方法,准确模拟了干湿单元的动态交替和复杂边界上的水流特性。最后分别利用水槽试验、物理模型和实际算例对模型进行验证。结果表明,该模型对不同情景下的溃坝洪水模拟结果和实测资料以及现有模型模拟结果具有较高的一致性,模拟精度较高,稳定性较好,具有推广应用价值。A finite volume model based on structured grids is proposed for numerical simulation of dam-break flow o- ver complex terrains with irregular boundaries in the study. In the proposed model, HLLC＇s approximate Riemann so- lution is used to compute the flow flux based on the two-dimensional shallow-water equations with conservation. The spatial and temporal precisions of the model are increased to the second-order precision by the MUSCL-Hancock meth- od. Slope source terms and friction source terms are discretized in order to guarantee the model＇s stability. A robust procedure is introduced to efficiently and accurately simulate the movement of wet/dry fronts and water flow character- istics of complex terrains with irregular boundaries. Finally, flume experiments, physical models and actual case com- putation are used to verify the proposed model. Numerical results of dam-break flow from different test examples are highly consistent with observations and numerical results obtained by existing models, indicating that the proposed model has the higher stability and precision for a wide range of applications.

关 键 词：复杂边界 结构网格 浅水方程 干湿界面 有限体积法 

分 类 号：TV122[水利工程—水文学及水资源]