基于Godunov格式的溃坝水流数学模型  

Numerical model for dam-break flow based on Godunov method

作　　者：张大伟[1] 程晓陶[1] 黄金池[1] 何晓燕[1] 

机构地区：[1]中国水利水电科学研究院防洪抗旱减灾研究所,北京100038

出　　处：《水科学进展》2010年第2期167-172,共6页Advances in Water Science

基　　金：国家自然科学基金创新研究群体基金资助项目(50721006);公益性行业科研专项经费资助项目(200701015);"十一五"国家科技支撑计划资助项目(2008BAB29B09-3);水利部基建前期项目"水库溃坝风险与减灾技术研究"资助~~

摘　　要：为了更好地把握溃坝洪水风险,减小因溃坝洪水而造成的人员生命和财产损失,建立了基于Godunov格式的一维、二维溃坝水流耦合数学模型。一维溃坝水流模型采用HLL格式的有限体积法求解,二维溃坝水流模型采用基于非结构网格的Roe格式离散求解,在一维、二维模型的链接处采用重叠计算区域的方法实现一维模型和二维模型之间的水力要素信息交换。经弯道溃坝算例和断面突变溃坝算例验证,该耦合模型具有良好的可靠性和适用性,验证后的耦合模型为大尺度的溃坝水流数值模拟打下了基础。In order to better understand the risk of dam-break flooding and to reduce the potential of live and property losses,a Godunov-type coupled numerical model based on one dimensional（1-D） and two dimensional（2-D） modules is developed to simulate different dam-break flows.The Harten-Lax-van Leer（HLL） scheme is used in the 1-D module;while,the Roe＇s method is adopted in the 2-D module for unstructured meshes.The 1-D and 2-D modules are coupled using an overlapping-region method for exchanging the key hydraulic information.The model is tested with two experimental cases of dam-break flow in the curved channel and in the straight channel with sudden enlargement.Results show that the coupled numerical model is able to simulate the dam-break flow of the two cases with good reliability and applicability.The model has the potential for practical applications in simulating large scale dam-break floods.

关 键 词：溃坝水流 Godunov格式 数学模型 

分 类 号：TV131.2[水利工程—水力学及河流动力学]