Numerical model for dam-break flow based on Godunov method
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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。Abstract: 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 coup led 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.
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Key words:
- dam-break flow /
- Godunov-type method /
- numerical model
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[1] SOARES F S,LAU M W,ZECH Y.Transient flows in natural valleys computed on topography-adapted mesh[C]//Proceedings of Finite Volumes for Complex ApplicationsⅡ.Paris:Hermes,1999:403-410. [2] MESELHE E A,HOLLY F M.Invalidity of Preissmann scheme for transcritical flow[J].Journal of Hydraulic Engineering,ASCE,1997,123(7):652-655. [3] LIANG D F,FALCONER R A,LIN B L.Comparison between Tvd-Maccormack and ADI-type solvers of the shallow water equations[J].Advances in Water Resources,2006,29(12):1833-1845. [4] 史宏达,刘臻.溃坝水流数值模拟研究进展[J].水科学进展,2006,17(1):129-135.(SHI Hong-da,LIU Zhen.Review and progress of research in numerical simulation of dam-break water flow[J].Advances in Water Science,2006,17(1):129-135.(in Chinese))) [5] TORO F E.Riemann solvers and numerical methods for fluid dynamics[M].Berlin:Springer-Verlag,1999. [6] 徐祖信,尹海龙.平原感潮河网地区一维、二维水动力耦合模型研究[J].水动力学研究与进展,2004,16(6):744-752.(XU Zu-xin,YIN Hai-long.Development of coupled one dimensional and two-dimensional hydrodynamic model for tidal rivers[J].Journal of Hydrodynamics,2004,16(6):744-752.(in Chinese))) [7] LIN B,WICKS J M,FALCONER R A,et al.Integrating 1D and 2D hydrodynamic models for flood simulation[J].Proceedings of the Institution of Civil Engineers,Water Management,2006,159(1):19-25. [8] YING X Y,WANG S S Y.Improved implementation of the HLL approximate Riemann solver for one-dimensional open channel flows[J].Journal of Hydraulic Research,2008,46(1):21-34. [9] BRUN G,HERARD J M,JEANDEL D,et al.An approximate Riemann solver for second moment closures[J].Journal of Computational Physics,1999,151(2):990-996. [10] 王志力,耿艳芬,金生.具有复杂计算域和地形的二维浅水流动数值模拟[J].水利学报,2005,36(4):439-444.(WANG Zhi-li,GENG Yan-fen,JIN Sheng.Numerical modeling of 2D shallow water flow with complicated geometry and topography[J].Journal of Hydraulic Engineering,2005,36(4):439-444.(in Chinese))) [11] SOARES F S,ZECH Y.Dam break in channels with 90°bend[J].Journal of Hydraulic Engineering,2002,128(11):956-968. [12] FRANCO A B.Computational and experimental modeling of flow due to dam-break events[D].Lisbon:Technical University of Lisbon,1996. -

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