A modified hydrodynamic model for routing unsteady flow in a river having piedmont zone

Akanbi, A.A., Katopodes, N.D., 1990. Model for flood propagation on initially dry land. J. Hydraul. Eng., 114, 689-706.10.1061/(ASCE)0733-9429(1988)114:7(689)Search in Google Scholar

Bateman, A., Medina, V., Velasco, D., 2010. Soil infiltration effect in flat areas floods simulations. In: XVIII International Conference on Water Resources, CIMNE, Barcelona. Search in Google Scholar

Beam, R.M., Warming, R.F., 1976. An implicit finite difference algorithm for hyperbolic systems in conservation law form. J. Comput. Phys., 22, 87-110.10.1016/0021-9991(76)90110-8Search in Google Scholar

Beven, K., 1984. Infiltration into a class of vertically nonuniform soils. Hydrolog. Sci. J., 29, 425-434.10.1080/02626668409490960Search in Google Scholar

Chaudhry, M.H., 2008. Open channel flow. 2nd edition. Prentice- Hall Inc, Englewood Cliffs.Search in Google Scholar

Chou, S.T., 1978. Infiltration during an unsteady rain. Water Resour. Res., 14, 3, 461-466.10.1029/WR014i003p00461Search in Google Scholar

Dagan, G., Bresler, E., 1983. Unsaturated flow in a spatially variable. 1. Derivation of models of infiltration and redistribution. Water Resour. Res., 19, 2, 413-420.10.1029/WR019i002p00413Search in Google Scholar

Fang, H., Chen, M., Chen, Q., 2008. One-dimensional numerical simulation of non-uniform sediment transport under unsteady flows. J. Sediment. Res., 23, 315-328.10.1016/S1001-6279(09)60003-2Search in Google Scholar

Fennema, R.J., Chaudhry, M.H., 1986. Explicit numerical schemes for unsteady free-surface flow with shocks. Water Resour. Res., 22, 13, 1923-1930.10.1029/WR022i013p01923Search in Google Scholar

Fiedler, F.R., Ramirez, J.A., 2000. A numerical method for simulating discontinuous shallow flow over an infiltrating surface. Int. J. Numer. Meth. Fluids, 32, 219-240.10.1002/(SICI)1097-0363(20000130)32:2<219::AID-FLD936>3.0.CO;2-JSearch in Google Scholar

Freyberg, D.L., Reeder, J.W., Franzini, J.B., Remson, I., 1980. Application of the Green-Ampt model to infiltration under time-dependent surface water depth. Water Resour. Res., 16, 3, 517-528.10.1029/WR016i003p00517Search in Google Scholar

Goswami, D.C., Goswami, I.D., Duarah, B.P., Deka, P.P., 1996. Geomorphological mapping of assam using satellite remote sensing techniques. Indian J. Geomorph., 1, 2, 225-235.Search in Google Scholar

Govindaraju, R.S., Kavvas, M.V., Jones, S.E., Rolston, D.E., 1996. Green-Ampt model for analysing one-dimensional convective transport in unsaturated soils. J. Hydrol., 178, 337-350.10.1016/0022-1694(95)02796-3Search in Google Scholar

Kacimov, A.R., Al-Ismaily, S., Al-Maktoumi, A., 2010. Green- Ampt one-dimensional infiltration from a ponded surface into heterogeneous soil. J. Irrig. Drain Eng., 136, 1, 68-72.10.1061/(ASCE)IR.1943-4774.0000121Search in Google Scholar

Kalita, H.M., Sarma, A.K., 2012. Efficiency and performances of finite difference schemes in the solution of saint Venant’s equation. Int. J. Civ. Struct. Eng. Res., 2, 3, 950-958.10.6088/ijcser.00202030022Search in Google Scholar

Kalita, H.M., Sarma, A.K., Bhattacharjya, R.K., 2014. Evaluation of optimal river training work using GA based linked simulation-optimization approach. Water Resour. Manag., 28, 2077-2092.10.1007/s11269-014-0593-3Search in Google Scholar

Kassem, A.A., Chaudhry, M.H., 1998. Comparison of coupled and semi coupled numerical models for alluvial channels. J. Hydraul. Eng., 124, 8, 794-802.10.1061/(ASCE)0733-9429(1998)124:8(794)Search in Google Scholar

Kassem, A.A., Chaudhry, M.H., 2005. Effect of bed armoring on bed topography of channel bends. J. Hydrol. Eng., 131, 12, 1136-1140.10.1061/(ASCE)0733-9429(2005)131:12(1136)Search in Google Scholar

Keskin, M.E., Agiralioglu, N., 1997. A simplified dynamic model for flood routing in rectangular channels. J. Hydrol., 202, 302-314.10.1016/S0022-1694(97)00072-3Search in Google Scholar

Kong, J., Xin, P., Song, Z.Y., Li, L., 2010. A new model for coupling surface and subsurface water flows: with an application to a lagoon. J. Hydrol., 390, 116-120.10.1016/j.jhydrol.2010.06.028Search in Google Scholar

Liang, D., Falconer, R.A., Lin, B., 2007. Coupling surface and subsurface flows in a depth averaged flood wave model. J. Hydrol., 337, 147-158.10.1016/j.jhydrol.2007.01.045Search in Google Scholar

Lui, J., Zhang, J., Feng, J., 2008. Green-Ampt model for layered soils with nonuniform initial water content under unsteady infiltration. Soil Sci. Soc. Am. J., 72, 4, 1041-1047.10.2136/sssaj2007.0119Search in Google Scholar

Ma, Y., Feng, S., Su, D., Gao, G., Huo, Z., 2010. Modeling water infiltration in a large layered soil column with a modified Green-Ampt model and Hydrus- 1D. Comput. Electron. Agr., 71S, S40-S47.10.1016/j.compag.2009.07.006Search in Google Scholar

Mein, R.G., Larson, C.L., 1973. Modeling infiltration during a steady rain. Water Resour. Res., 9, 2, 384-394.10.1029/WR009i002p00384Search in Google Scholar

Mohammad, R.H., Mohammad, J.A., Parviz, M., 2007. A differential quadrature analysis of unsteady open channel flow. Journal of Appl. Math. Model., 31, 8, 1594-1608.10.1016/j.apm.2006.05.006Search in Google Scholar

Molls, T., Zhao, G., 2000. Depth-averaged simulation of supercritical flow in channel with wavy sidewall. J. Hydraul. Eng. ASCE, 126, 6, 437-445.10.1061/(ASCE)0733-9429(2000)126:6(437)Search in Google Scholar

Molls, T., Chaudhry, M.H., Khan, K.W., 1995. Numerical simulation of two-dimensional flow near a spur-dike. Adv. Water Resour., 18, 4, 221-236.10.1016/0309-1708(95)00010-GSearch in Google Scholar

Mousseau, V.A., Knoll, D.A., Reisner, J.M., 2002. An Implicit Nonlinearly Consistent Method for the Two-Dimensional Shallow-Water Equation with Coriolis Force. American Meteorological Society, 130, 2611-2625.10.1175/1520-0493(2002)130<2611:AINCMF>2.0.CO;2Search in Google Scholar

Niswonger, R.G., Prudic, D.E., Pohll, G., Constantz, J., 2005. Incorporate seepage losses into the unsteady stream flow equations for simulation intermittent flow along mountain front streams. Water Resour. Res., 41, W06006.10.1029/2004WR003677Search in Google Scholar

Patowary, S., Sarma, A.K., 2013. Hydrodynamic flood routing considering piedmont zone. Int. J. Civ. Struct. Eng. Res., 3, 3, 464-474.Search in Google Scholar

Ramesh, R., Datta, B., Bhallamudi, M., Narayana, A., 2000. Optimal estimation of roughness in open-channel flows. J. Hydraul. Eng. ASCE, 126, 4, 299-303.10.1061/(ASCE)0733-9429(2000)126:4(299)Search in Google Scholar

Reeder, J.W, Freyberg, D.L., Franzini, J.B., Remson, 1980. I. Infiltration under rapidly varying surface water depths. Water Resources Research, 16, 1, 97-104.10.1029/WR016i001p00097Search in Google Scholar

Selker, J.S., Duan, J., Parlange, J.Y., 1999. Green and Ampt infiltration into soils of variable pore size with depth. Water Resour. Res., 35, 5, 1685-1688.10.1029/1999WR900008Search in Google Scholar

Strelkoff, T., 1970. Numerical solution of Saint-Venant equations. J. Hydraul. Eng., 96, 223-252.10.1061/JYCEAJ.0002262Search in Google Scholar

Suils, M., Meyerhoff, S.B., Paniconi, C., Maxwell, R.M., Putti, M., Kollet, S.J., 2010. A comparison of two physic-based numerical models for simulating surface water-groundwater interactions. Adv. Water Resour., 33, 456-647.10.1016/j.advwatres.2010.01.010Search in Google Scholar

Voller, V.R., 2011. On a fractional derivative form of the Green-Ampt infiltration model. Adv. Water Resour., 34, 257-262.10.1016/j.advwatres.2010.11.012Search in Google Scholar

Zhang, M.L., Shen, Y.M., 2007. Study and application of steady flow and unsteady flow mathematical model for channel networks. Journal of Hydrodynamics, 19, 572-578. 10.1016/S1001-6058(07)60155-3Search in Google Scholar