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

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

doi: 10.3879/j.issn.1000-0887.2012.07.004
  • Received Date: 2011-07-15
  • Rev Recd Date: 2012-02-10
  • Publish Date: 2012-07-15
  • The construction of an integrated numerical model was presented to deal with interactions between vegetated surface and saturated subsurface flows. The numerical model was built up by integrating previously developed quasi-three-dimensional vegetated surface flow model with a two-dimensional saturated groundwater flow model. The vegetated surface flow model was constructed by coupling the explicit finite volume solution of the two-dimensional shallow water equations (SWE) with the implicit finite difference solution of Navier-Stokes equations (NSE) for vertical velocity distribution. The subsurface model was based on the explicit finite volume solution of twodimensional saturated groundwater flow equations (SGFE). The ground and vegetated surface water interaction was achieved by the introduction of source-sink terms into the continuity equations. Two solutions were tightly coupled in a single code. The integrated model was applied to four test cases and the results were satisfactory.
  • loading
  • [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.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1416) PDF downloads(885) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return