[1] |
Ervine D A, Babaeyan-Koopaei K, Sellin R H J, 2000. Two-dimensional solution for straight and meandering overbank flows. Journal of Hydraulic Engineering, 126(9): 653-669. doi:10.1061/(ASCE)0733-9429(2000)126:9(653) |
[2] |
Fischer-Antze T, Stoesser T, Bates P et al., 2001. 3D numerical modelling of open-channel flow with submerged vegetation. Journal of Hydraulic Research, 39(3): 303-310. doi:10.1080/00221680109499833 |
[3] |
Huai W X, Chen Z B, Han J et al., 2009. Mathematical model for the flow with submerged and emerged rigid vegetation. Journal of Hydrodynamics, 21(5): 722-729. doi:10.1016/S 1001-6058(08)60205-x |
[4] |
Huai W X, Gao M, Zeng Y H et al., 2009. Two-dimensional analytical solution for compound channel flows with vegetated floodplains. Applied Mathematics and Mechanics, 30(9): 1121-1130. doi:10.1007/s10483-009-0906-z |
[5] |
Huai W X, Xu Z G, Yang Z H et al., 2008. Two dimensional analytical solution for a partially vegetated compound channel flow. Applied Mathematics and Mechanics, 29(8): 1077-1084. doi:10.1007-s10483-008-0811-y |
[6] |
Huai W X, Zeng Y H, Xu Z G et al., 2009. Three-layer model for vertical velocity distribution in open channel flow with submerged rigid vegetation. Advances in Water Resources, 32(4): 487-492. doi:10.1016/j.advwatres.2008.11.014 |
[7] |
Hui E Q, Jiang C B, Pan Y W, 2009. Vertical velocity distribution of longitudinal flow in a vegetated channel. Journal of Tsinghua University: Science and Technology, 49(6): 834-837. |
[8] |
Huthoff F, Augustijn D C M, Hulscher S J M H, 2007. Analytical solution of the depth-averaged flow velocity in case of submerged rigid cylindrical vegetation. Water Resources Research, 43(6): 129-148. doi:10.1029/2006WR005625 |
[9] |
Kang H, Choi S U, 2006. Turbulence modeling of compound open-channel flows with and without vegetation on the floodplain using the Reynolds stress model. Advances in Water Resources, 29(11): 1650-1664. doi:10.1016/j.advwatres.2005. 12.004 |
[10] |
Knight D W, Hamed M E, 1984. Boundary shear in symmetrical compound channels. Journal of Hydraulic Engineering, 110(10): 1412-1430. doi:10.1061/(ASCE)0733-9429(1984) 110:10(1412) |
[11] |
Liao H, Knight D W, 2012. Analytic stage-discharge formulas for flow in straight prismatic channels. Journal of Hydraulic Engineering, 133(10): 1111-1122. doi:10.1061/(ASCE)0733-9429(2007)133:10(1111) |
[12] |
Liu Z W, Chen Y C, Zhu D J et al., 2012. Analytical model for vertical velocity profiles in flows with submerged shrub-like vegetation. Environmental Fluid Mechanics, 12: 341-346. doi:10.1007/s10652-012-9243-6 |
[13] |
Naot D, Nezu I, Nakagawa H, 1996. Hydrodynamic behavior of partly vegetated open channels. Journal of Hydraulic Engineering, 122(11): 625-633. doi:10.1061/(ASCE)0733-9429 (1996)122:11(625) |
[14] |
Pasche E, 1985. Overbank flow with vegetatively roughened flood plains. Journal of Hydraulic Engineering, 111(9): 1262-1278. doi:10.1061/(ASCE)0733-9429(1985)111:9(1262) |
[15] |
Rameshwaran P, Shiono K, 2007. Quasi two-dimensional model for straight overbank flows through emergent. Journal of Hydraulic Research, 45(3): 302-315. doi:10.1080/00221686. 2007.9521765 |
[16] |
Shimizu Y, Tsujimoto T, 1994. Numerical analysis of turbulent open-channel flow over a vegetation layer using a k-ε turbulence model. Journal of Hydroscience and Hydraulic Engineering, 11(2): 57-67. |
[17] |
Shiono K, Knight D W, 1991. Turbulent open-channel flows with variable depth across the channel. Journal of Fluid Mechanics, 222(1): 617-646. doi:10.1017/S0022112091001246 |
[18] |
Shiono K., and Feng T, 2003. Turbulence measurements of dye concentration and effects of secondary flow on distribution in open channel flows. Journal of Hydraulic Engineering, 129(5): 373-384. doi:10.1061/(ASCE)0733-9429(2003)129: 5(373) |
[19] |
Sterling M, Knight D W, Tang X N, 2011. Analytical model for streamwise velocity in vegetated channels. Engineering and Computational Mechanics, 164(2): 91-102. doi:10.1680/eacm.2011.164.2.91 |
[20] |
Sun X, Shiono K, 2009. Flow resistance of one-line emergent vegetation along the floodplain edge of a compound open channel. Advances in Water Resources, 32(3): 430-438. doi:10.1016/j.advwatres.2008.12.004 |
[21] |
Sun X, Shiono K, Fu X Y et al., 2013. Application of Shiono and Knight method to compound open channel flow with one-line emergent vegetation. Advances in Water Resources, 66(3): 930-935. doi:10.4028/www.scientific.net/AMR.663.930 |
[22] |
Tang H W, Tian Z J, Yan J et al., 2014. Determining drag coefficients and their application in modelling of turbulent flow with submerged vegetation. Advances in Water Resources, 69(3): 134-145. doi:10.1016/j.advwatres.2014.04.006 |
[23] |
Tang X N, Knight D W, 2009. Lateral distributions of streamwise velocity in compound channels with partially vegetated floodplains. Science in China Series E: Technological Sciences, 52(11): 3357-3362. doi:10.1007/s11431-009-0342-7 |
[24] |
Tanino Y, Nepf H M, 2014. Laboratory investigation of mean drag in a random array of rigid, emergent cylinders. Journal of Hydraulic Engineering, 134(1): 34-41. doi:10.1061/(ASCE) 0733-9429(2008)134:1(34) |
[25] |
White B L, Nepf H M, 2008. A vortex-based model of velocity and shear stress in a partially vegetated shallow channel. Water Resources Research, 44(1): (W01412) 1-15. doi:10.1029/2006WR005651 |
[26] |
Yang K J, Cao S Y, Knight D W, 2007. Flow patterns in compound channels with vegetated floodplains. Journal of Hydraulic Engineering, 133(2): 148-159. doi:10.1061/(ASCE) 0733-9429(2007)133:2(148) |
[27] |
Yang S Q, Tan S K, Lim S Y, 2004. Velocity distribution and dip-phenomenon in smooth uniform open channel flows. Journal of Hydraulic Engineering, 130(12): 1179-1186. doi:10.1061/(ASCE)0733-9429(2004)130:12(1179) |