K. S. ERDURAN . Integrated numerical model for vegetated surface and saturated subsurface flow interaction[J]. Applied Mathematics and Mechanics, 2012 , 33(7) : 881 -898 . DOI: 10.1007/s10483-012-1592-9

[1] Tsujimoto, T. and Kitamura, T. Velocity Profile of Flow in Vegetated-Bed Channels, KanazawaUniversity, Khl Progressive Report 1, Kanazawa (1990)
[2] Fischenich, C. Resistance Due to Vegetation, EMRRP technical notes, ERDC TN-EMRRP-SR-07,US Army Engineer Research and Development Center, Vicksburg (2000)
[3] Erduran, K. S. and Kutija, V. Quasi three-dimensional numerical model for flow through flexible,rigid, submerged and non-submerged vegetation. Journal of Hydroinformatics, 5(3), 189-202(2003)
[4] Wu, F. C., Shen, H. W., and Chou, Y. J. Variation of roughness coefficients for unsubmerged andsubmerged vegetation. Journal of Hydraulic Engineering, 125(9), 934-942 (1999)
[5] Palmer, V. J. A method for designing vegetated waterways. Agricultural Engineering, 20(4), 516-520 (1945)
[6] Carollo, F. G., Ferro, V., and Termini, D. Flow velocity measurements in vegetated channels.Journal of Hydraulic Engineering, 128(7), 664-673 (2002)
[7] Wu, Y., Falconer, R. A., and Struve, J. Mathematical modelling of tidal currents in mangroveforests. Environmental Modelling and Software, 16(1), 19-29 (2001)
[8] Huai, W. X., Han, J., Zeng, Y. H., An, X., and Qian, Z. H. Velocity distribution of flow with submergedflexible vegetations based on mixing length approach. Applied Mathematics and Mechanics(English Edition), 30(3), 343-351 (2009) DOI 10.1007/s10483-009-0308-1
[9] Petryk, S. and Bosmajian, G. Analysis of flow through vegetation. Journal of the HydraulicsDivision, 101(7), 871-884 (1975)
[10] Kouwen, N. Modern approach to design of grassed channels. Journal of Hydrology, 118(5), 733-743 (1992)
[11] Helmiö, T. Unsteady 1D flow model of compound channel with vegetated floodplains. Journal ofHydrology, 269(1-2), 89-99 (2002)
[12] Helmiö, T. Unsteady 1D flow model of a river with partly vegetated floodplains—application tothe Rhine River. Environmental Modelling and Software, 20(3), 361-375 (2005)
[13] Järvelä, J. Flow resistance of flexible and stiff vegetation: a flume study with natural plants.Journal of Hydrology, 269(1-2), 44-54 (2002)
[14] Stone, B. M. and Shen, H. T. Hydraulic resistance of flow in channels with cylindrical roughness.Journal of Hydraulic Engineering, 128(5), 500-506 (2002)
[15] Kutija, V. and Hong, H. T. M. A numerical model for assessing the additional resistance to flowintroduced by flexible vegetation. Journal of Hydraulic Research, 34(1), 99-114 (1996)
[16] Darby, S. E. Effect of riparian vegetation on flow resistance and flood potential. Journal of Hy-draulic Engineering, 125(5), 443-454 (1999)
[17] Vionnet, C. A., Tassi, P. A., and Martin-Vide, J. P. Estimates of flow resistance and eddy viscositycoefficients for 2D modelling on vegetated floodplains. Hydrological Processes, 18(25), 2907-2926(2004)
[18] Simoes, F. J. and Wang, S. S. Y. Three-dimensional modelling of compound channels with vegetatedflood plains. The 27th IAHR Congress on Environmental and Coastal Hydraulics: Protectingthe Aquatic Habitat (ed. Wang, S. S. Y.), ASCE, San Francisco, 809-814 (1997)
[19] Shimuzu, Y. and Tsujimoto, T. Suspended sediment concentration affected by organized motionnear vegetation zone. The 27th IAHR Congress on Environmental and Coastal Hydraulics:Protecting the Aquatic Habitat (ed. Wang, S. S. Y.), ASCE, San Francisco, 1384-1389 (1997)
[20] Fischer-Antze, T., Stoesser, T., Bates, P., and Olsen, N. R. B. 3D numerical modelling of openchannelflow with submerged vegetation. International Journal for Numerical Methods in Fluids,39(3), 303-310 (2001)
[21] Zhang, Z. T. and Su, X. H. Numerical model for flow motion with vegetation. Journal of Hydro-dynamics, 20(2), 172-178 (2008)
[22] Liu, C. and Shen, Y. M. Flow structure and sediment transport with impacts of aquatic vegetation.Journal of Hydrodynamics, 20(4), 461-468 (2008)
[23] Huai, W. X., Geng, C., Zeng, Y. H., and Yang, Z. H. Analytical solutions for transverse distributionsof stream-wise velocity in turbulent flow in rectangular channel with partial vegetation. Ap-plied Mathematics and Mechanics (English Edition), 32(4), 459-468 (2011) DOI 10.1007/s10483-011-1430-6
[24] Huai, W. X., Xu, Z. G., Yang, Z. H., and Zeng, Y. H. Two-dimensional analytical solutionfor a partially vegetated compound channel flow. Applied Mathematics and Mechanics (EnglishEdition), 29(8), 1077-1084 (2008) DOI 10.1007/s10483-008-0811-y
[25] Singh, V. and Bhallamudi, S. M. Conjunctive surface-subsurface modelling of overland flow. Ad-vances in Water Resources, 21(7), 567-579 (1998)
[26] Yakirevich, A., Borisov, V., and Sorek, S. A quasi three-dimensional model for flow and transportin unsaturated and saturated zones: 1. implementation of the quasi two-dimensional case.Advances in Water Resources, 21(8), 679-689 (1998)
[27] Cartwright, N., Jessen, O. J., and Nielsen, P. Application of a coupled ground-surface water flowmodel to simulate periodic groundwater flow influenced by a sloping boundary, capillarity, andvertical flows. Environmental Modelling and Software, 21, 770-778 (2005)
[28] Erduran, K. S., Macalister, C. R., and Kutija, V. Finite volume solution to integrated shallowsurface-saturated groundwater flow. International Journal for Numerical Methods in Fluids, 9(7),763-783 (2005)
[29] Thompson, J. R., S?renson, H. R., Gavin, H., and Refsgaard, A. Application of the coupledMIKE SHE/MIKE 11 modelling system to a lowland wet grassland in southeast England. Journalof Hydrology, 293(1-4), 151-179 (2004)
[30] Erduran, K. S. An Integrated Model for Complex Flow Simulations: COMSIM, Ph.D. dissertation,University of Newcastle upon Tyne (2001)
[31] Roe, P. L. Approximate Riemann solvers, parameter vectors, and difference schemes. Journal ofComputational Physics, 43(2), 357-372 (1981)
[32] Brufau, P., V′azquez-Cend′on, M. E., and Garcia-Navarro, P. A numerical model for the floodingand drying of irregular domains. International Journal for Numerical Methods in Fluids, 39(3),247-275 (2002)
[33] Abbott, M. B. and Minns, A.W. Computational Hydraulics, 2nd ed., Ashgate, Connecticut (1998)
[34] Timoshenko, S. Strength of Materials, Part 1: Elementary Theory and Problems, Van NostrandCompany, New York (1955)
[35] Shaw, E. M. Hydrology in Practice, 3rd ed., Chapman and Hall, London (1994)
[36] Anderson, M. P. and Woessner, W. W. Applied Groundwater Modelling: Simulation of Flow andAdvective Transport, Academic Press, New York (1992)
[37] Rodi, W. Turbulence Models and Their Application in Hydraulics: A State-of-the-Art Review, 3rded., Rotterdam, the Netherlands (1993)