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一个综合植被地表径流与饱和地下水流之间相互作用的数值模型

K·S·埃尔杜拉

K·S·埃尔杜拉. 一个综合植被地表径流与饱和地下水流之间相互作用的数值模型[J]. 应用数学和力学, 2012, 33(7): 828-844. doi: 10.3879/j.issn.1000-0887.2012.07.004
引用本文: K·S·埃尔杜拉. 一个综合植被地表径流与饱和地下水流之间相互作用的数值模型[J]. 应用数学和力学, 2012, 33(7): 828-844. doi: 10.3879/j.issn.1000-0887.2012.07.004
K.S.Erduran. An Integrated Numerical Model for Vegetated Surface and Saturated Subsurface Flow Interaction[J]. Applied Mathematics and Mechanics, 2012, 33(7): 828-844. doi: 10.3879/j.issn.1000-0887.2012.07.004
Citation: K.S.Erduran. An Integrated Numerical Model for Vegetated Surface and Saturated Subsurface Flow Interaction[J]. Applied Mathematics and Mechanics, 2012, 33(7): 828-844. doi: 10.3879/j.issn.1000-0887.2012.07.004

一个综合植被地表径流与饱和地下水流之间相互作用的数值模型

doi: 10.3879/j.issn.1000-0887.2012.07.004
详细信息
  • 中图分类号: TV133

An Integrated Numerical Model for Vegetated Surface and Saturated Subsurface Flow Interaction

  • 摘要: 构建一个综合的数值模型,用来处理植被地表径流与饱和地下水流之间的相互作用问题.综合了早先提出的准三维植被地表径流模型,与二维饱和地下水流模型建立起该数值模型.植被地表水流模型被构建为,二维浅水方程(SWE)显式的有限体积解,耦合了Navier-Stokes方程(NSE)隐式的有限差分解,得到了竖向速度的分布.地下水流模型是以二维饱和地下水流方程(SGE)显式的有限体积解为基础构建.通过在连续方程中引入源-汇项,达到植被地表径流和地下水流之间的相互作用.单一的规则将2个解紧密地耦合在一起.最后,应用4个案例来验证本综合模型,结果是令人满意的.
  • [1] Tsujimoto T, Kitamura T. Velocity profile of flow in vegetated-bed channels
    [2] [R]. Japan:Khl progressive report. Hydraulic Laboratory, Kanazama University, 1990.
    [3] Fischenich C.Resistance due to vegetation
    [4] [R]. EMRRP technical notes ERDC TN-EMRRP-SR-07, US Army Engineer Research and Development Center, Vicksburg, 2000.
    [5] Erduran K S, Kutija V.Quasi three-dimensional numerical model for flow through flexible, rigid, submerged and non-submerged vegetation[J].Journal of Hydroinformatics, 2003, 5(3):189-202.
    [6] Wu F C, Shen H W, Chou Y J.Variation of roughness coefficients for unsubmerged and submerged vegetation[J].Journal of Hydraulic Engineering, 1999, 125(9):934-942.
    [7] Palmer V J.A method for designing vegetated waterways[J].Agricultural Engineering, 1945, 20(4):516-520.
    [8] Carollo F G, Ferro V, Termini D.Flow velocity measurements in vegetated channels[J].Journal of Hydraulic Engineering, 2002, 128(7):664-673.
    [9] Wu Y, Falconer R A, Struve J.Mathematical modelling of tidal currents in mangrove forests[J].Environmental Modelling and Software, 2001, 16(1):19-29.
    [10] 槐文信, 韩杰, 曾玉红, 安翔, 钱忠东.基于掺长理论的淹没柔性植被水流流速分布研究[J].应用数学和力学, 2009, 30(3):325-332.(HUAI Wen-xin, HAN Jie, ZENG Yu-hong, AN Xiang, QIAN Zhong-dong.Velocity distribution of flow with submerged flexible vegetations based on mixing length approach[J].Applied Mathematics and Mechanics(English Edition), 2009, 30(3):343-351.)
    [11] Petryk S, Bosmajian G.Analysis of flow through vegetation[J].Journal of the Hydraulic Division, ASCE, 1975, 101(7):871-884.
    [12] Kouwen N.Modern approach to design of grassed channels[J].Journal of Hydrology, 1992, 118(5):733-743.
    [13] Helmi T. Unsteady 1D flow model of compound channel with vegetated floodplains[J].Journal of Hydrology, 2002, 269(1/2):89-99.
    [14] Helmi T. Unsteady 1D flow model of a river with partly vegetated floodplains—application to the Rhine river[J].Environmental Modelling and Software, 2005, 20(3):361-375.
    [15] Jrvel J.Flow resistance of flexible and stiff vegetation: a flume study with natural plants[J].Journal of Hydrology, 2002, 269(1/2):44-54.
    [16] Stone B M, Shen H T.Hydraulic resistance of flow in channels with cylindrical roughness[J].Journal of Hydraulic Engineering, 2002, 128(5):500-506.
    [17] Kutija V, Hong H T M.A numerical model for assessing the additional resistance to flow introduced by flexible vegetation[J].Journal of Hydraulic Research, 1996, 34(1):99-114.
    [18] Darby S E.Effect of riparian vegetation on flow resistance and flood potential[J].Journal of Hydraulic Engineering, 1999, 125(5):443-454.
    [19] Vionnet C A, Tassi P A, Martín Vide J P.Estimates of flow resistance and eddy viscosity coefficients for 2D modelling on vegetated floodplains[J].Hydrological Processes, 2004, 18(25):2907-2926.
    [20] Simoes F J, Wang S S Y.Three-dimensional modelling of compound channels with vegetated flood plains[C]Wang S S Y. 27th IAHR Congress on Environmental and Coastal Hydraulics: Protecting the Aquatic Habitat. San Francisco, California, USA: ASCE, Vol 2. 1997: 809-814.
    [21] Shimuzu Y, Tsujimoto T.Suspended sediment concentration affected by organized motion near vegetation zone[C]Wang S S Y. 27th IAHR Congress on Environmental and Coastal Hydraulics: Protecting the Aquatic Habitat. San Francisco, California, USA: ASCE, Vol 2. 1997: 1384-1389.
    [22] Fischer-Antze T, Stoesser T, Bates P, Olsen N R B.3D numerical modelling of open-channel flow with submerged vegetation[J].International Journal for Numerical Methods in Fluids, 2001, 39(3):303-310.
    [23] Zhang Z T, Su X H.Numerical model for flow motion with vegetation[J].Journal of Hydrodynamics, 2008, 20(2):172-178.
    [24] Liu C, Shen Y M.Flow structure and sediment transport with impacts of aquatic vegetation[J].Journal of Hydrodynamics, 2008, 20(4):461-468.
    [25] 槐文信, 耿川, 曾玉红, 杨中华.部分植被化矩形河槽紊流时均流速分布分析解[J].应用数学和力学, 2011, 32(4):437-444.(HUAI Wen-xin, GENG Chuan, ZENG Yu-hong, YANG Zhong-hua.Analytical solutions for transverse distributions of stream-wise velocity in turbulent flow in rectangular channel with partial vegetation[J].Applied Mathematics and Mechanics (English Edition), 2011, 32(4):459-468.)
    [26] 槐文信, 徐治钢, 杨中华, 曾玉红.部分植被化复式河道水流的二维解析解[J].应用数学和力学, 2008, 29(8):976-982.(HUAI Wen-xin, XU Zhi-gang, YANG Zhong-hua, ZENG Yu-hong.Two dimensional analytical solution for a partially vegetated compound channel flow[J].Applied Mathematics and Mechanics(English Edition), 2008, 29(8):1077-1084.)
    [27] Singh V, Bhallamudi S M.Conjunctive surface-subsurface modelling of overland flow[J].Advances in Water Resources, 1998, 21(7):567-579.
    [28] Yakirevich A, Borisov V, Sorek S.A quasi three-dimensional model for flow and transport in unsaturated and saturated zones—1: implementation of the quasi two-dimensional case[J].Advances in Water Resources, 1998, 21(8):679-689.
    [29] Cartwright N, Jessen O J, Nielsen P.Application of a coupled ground-surface water flow model to simulate periodic groundwater flow influenced by a sloping boundary, capillarity, and vertical flows[J].Environmental Modelling and Software, 2005, 21:770-778.
    [30] Erduran K S, Macalister C R, Kutija V.Finite volume solution to integrated shallow surface-saturated groundwater flow[J].International Journal for Numerical Methods in Fluids, 2005, 9(7):763-783.
    [31] Thompson J R, Srenson H R, Gavin H, Refsgaard A.Application of the coupled MIKE SHE/MIKE 11 modelling system to a lowland wet grassland in southeast England[J].Journal of Hydrology, 2004, 293(1/4):151-179.
    [32] Erduran K S.An integrated model for complex flow simulations: COMSIM[D].Ph D thesis. University of Newcastle upon Tyne, 2001.
    [33] Roe P L.Approximate Riemann solvers, parameter vectors, and difference schemes[J].Journal of Computational Physics, 1981, 43(2):357-372.
    [34] Brufau P, Vzquez-Cendón M E, García-Navarro P.A numerical model for the flooding and drying of irregular domains[J].International Journal for Numerical Methods in Fluids, 2002, 39(3):247-275.
    [35] Abbott M B, Minns A W.Computational Hydraulics[M]. 2nd Edition. Connecticut, England:Ashgate, 1998.
    [36] Timoshenko S P.Strength of Materials, Part 1: Elementary Theory and Problems[M].New York:Van Nostrand Company, Inc, 1955.
    [37] Shaw E M.Hydrology in Practice[M]. 3nd Edition. London:Chapman and Hall, 1994.
    [38] Anderson M P, Woessner W W. Applied Groundwater Modelling: Simulation of Flow and Advective Transport[M]. New York:Academic Press, 1992.
    [39] Rodi W.Turbulence Models and Their Application in Hydraulics: a State of the-Art Review[M]. 3rd Edition. Rotterdam, Netherlands:Balkema A A, 1993.
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出版历程
  • 收稿日期:  2011-07-15
  • 修回日期:  2012-02-10
  • 刊出日期:  2012-07-15

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