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浙江大学学报(工学版)
J4  2014, Vol. 48 Issue (3): 514-520    DOI: 10.3785/j.issn.1008-973X.2014.03.020
土木、水利工程     
基于守恒稳定格式的二维坡面降雨动力波洪水模型
吴钢锋1,贺治国2,刘国华1
1. 浙江大学 水工结构与水环境研究所,浙江 杭州 310058；2. 浙江大学 海洋学院,浙江 杭州 310058
Well-balanced two-dimensional dynamic wave model for rainfall-induced overland flood
WU Gang-feng1,HE Zhi-guo2,LIU Guo-hua1
1. Institute of Hydraulic Structures and Water Environment,Zhejiang University,Hangzhou 310058,China;
2. Ocean College,Zhejiang University,Hangzhou 310058,China
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摘要：

基于结构网格,采用有限体积法建立二维动力波洪水模型,用于模拟坡面地形条件下降雨洪水的运动规律.该模型在连续方程的源项中分别添加了降雨项和下渗项,其中土壤的下渗强度采用Green-Ampt入渗模型来计算.该模型采用中心迎风格式计算界面通量,并通过对界面两侧变量的线性重构,使得该模型具有空间上的二阶精度.为了保证模型的稳定性,采用半隐式的方法对底床摩擦项进行离散,同时利用中心差分方法对底床坡度项进行离散来保证数值格式的和谐性.对于坡面降雨洪水的模拟,负水深的产生是影响模型稳定的关键因素.本模型在库朗特数小于0.25时,能够保证任何时刻的计算水深都是非负的,而无须在计算过程中采用重新分配水深的方法来处理负水深,因此,相比于现有的大部分模型,该模型具有更强的鲁棒性和稳定性.采用该模型分别对2个非规则坡面地形条件下降雨产流实验进行模拟,计算结果与实测值吻合较好,表明该模型能够较准确地模拟复杂地形条件下坡面降雨洪水的运动规律以及土壤的下渗特性.
Abstract:

Based on the structured grid, a two-dimensional dynamic wave flood model using finite volume method was  developed to simulate the rainfall-induced overland flood propagation over irregular topographies. The rainfall and infiltration terms were added to the source term of continuity equation. The infiltration rate was calculated using Green-Ampt method. A central-upwind scheme was used to calculate the flux across the interface of computational mesh, and the linear reconstruction of flow variables was adopted to achieve the second-order accuracy in space. The friction source term was discretized using a semi-implicit method to ensure the stability of the model. A central difference method was used to discretize the bed slope source term to maintain the well-balanced property. Negative water depth is a key factor for the stability of the model to simulate the rainfall-induced overland flood. The model can guarantee the positivity of water depth when the Courant number is kept less than 0.25. There is no need to redistribute water depth to deal with negative water depth. Therefore, the present model is more robust and stable in comparison with the most of existing models. The established model was tested against two experiments with rainfall overland floods over irregular topographies. The numerical results agree very well with the observations, which show that the model is capable of predicting the rainfall-induced overland flood propagation over irregular topographies and the infiltration process of soil with a good accuracy．
出版日期: 2018-06-10
:  TV 122.1  
基金资助:

国家“973”重点基础研究发展规划资助项目（2013CB035900）；国家自然科学基金资助项目（51009120）；教育部留学回国启动基金资助项目（20101174）.
通讯作者: 贺治国，男，副教授.     E-mail: hezhiguo@zju.edu.cn
作者简介: 吴钢锋（1988-），男，博士生.主要从事计算水动力学方面研究.E-mail：zjdxwgf@gmail.com
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引用本文:

吴钢锋,贺治国,刘国华. 基于守恒稳定格式的二维坡面降雨动力波洪水模型[J]. J4, 2014, 48(3): 514-520.

WU Gang-feng,HE Zhi-guo,LIU Guo-hua. Well-balanced two-dimensional dynamic wave model for rainfall-induced overland flood. J4, 2014, 48(3): 514-520.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2014.03.020    或    http://www.zjujournals.com/eng/CN/Y2014/V48/I3/514

［1］ SCHULTZ G A. Remote sensing in hydrology［J］. Journal of Hydrology, 1988, 100(1): 239-265．
［2］ JULIEN P Y, SAGHAFIAN B, OGDEN F L. Raster-based hydrologic modeling of spatially-varied surface runoff［J］. Water Resources Bulletin, 1995, 31(3): 523-536．
［3］ HOWES D A, ABRAHAMS A D, PITMAN E B. One- and two-dimensional modeling of overland flow in semiarid shrubland, Jornada basin, New Mexico［J］. Hydrology Process, 2006, 20(5): 1027-1046．
［4］ ESTEVES M, FAUCHER X, GALLE S, et al. Overland flow and infiltration modeling for small plots during unsteady rain: numerical results versus observed values［J］. Journal of Hydrology, 2000, 228(3): 265282．
［5］ CEA L, GARRIDO M, PUERTAS J. Experimental validation of two-dimensional depth-averaged models for forecasting rainfall–runoff from precipitation data in urban areas［J］. Journal of Hydrology, 2010, 382: 88-102．
［6］ COSTABILE P, COSTANZO C, MACCHIONE F. Comparative analysis of overland flow models using finite volume schemes［J］. Journal of Hydroinformatics, 2012, 14(1): 122-135．
［7］ BRYSON S, EPSHTEYN Y, KURGANOV A, et al. Well-balanced positivity preserving central-upwind scheme on triangular grids for the saint-venant system［J］. Mathematical Modelling and Numerical Analysis, 2011, 45(3): 423-446.
［8］ GREEN W H, AMPT G A. Studies on soil physics, Part 1, the flow of air and water through soils［J］. Journal of Agriculture Science, 1911, 4(1): 1-24．
［9］ KURGANOV A, PETROVA G. A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system［J］. Communication in Mathematical Science, 2007, 5(1): 133-160．
［10］ LIANG Q H. Flood simulation using a well-balanced shallow flow model［J］. Journal of Hydraulic Engineering, ASCE, 2011, 136(9): 669-675．
［11］ YOON T H, KANG S K. Finite volume model for two-dimensional shallow water flows on unstructured grids［J］. Journal of Hydraulic Engineering, ASCE, 2004, 130(7): 678-688.
［12］ 夏军强,王光谦,LIN Bin-liang,等. 复杂边界及实际地形上溃坝洪水流动过程模拟［J］. 水科学进展, 2010, 21(3): 289298.
XIA Jun-qiang, WANG Guang-qian, LIN Bin-liang, et al. Two-dimensional modeling of dam-break floods over actual terrain with complex geometries using a finite volume method［J］. Advances in Water Science, 2010, 21(3): 289298.
［13］ CEA L, PUERTAS J, PENA L, et al. Hydrologic forecasting of fast flood events in small catchments with a 2D-SWE model: numerical model and experimental validation［C］∥13th IWRA World Water Congress. Montpellier: The International Water Resource Association, 2008.
［14］ PEUGEOT C, ESTEVES M, RAJOT J L, et al. Runoff generation processes: results and analysis of field data collected at the central supersite of the Hapex-Sahel experiment［J］. Journal of Hydrology, 1997, 188-189(1/4): 179-202.
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