Multilinear Muskingum Method for Stage-Hydrograph Routing in Compound Channels

A multilinear stage-hydrograph routing method based on time distribution scheme is analyzed. The framework of the multilinear method is based on the Muskingum-type routing method, which is used as the linear submodel. The proposed method can implicitly model the nonlinear dynamics of the flood wave propagation by varying the model parameters at each routing time step. The suitability of this flood routing method is verified using a set of laboratory experimental data and the field data of the Tiber River in central Italy.

[1]  Muthiah Perumal,et al.  Variable-Parameter Stage-Hydrograph Routing Method. I: Theory , 1998 .

[2]  Zbigniew W. Kundzewicz,et al.  Nonlinear flood routing with multilinear models , 1987 .

[3]  L. A. Camacho,et al.  Multilinear discrete lag-cascade model for channel routing , 1999 .

[4]  Tommaso Moramarco,et al.  A caution about the multilinear discrete lag-cascade model for flood routing , 2007 .

[5]  Drainage Division,et al.  Criteria for Evaluation of Watershed Models , 1993 .

[6]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

[7]  Muthiah Perumal,et al.  Applicability criteria of the variable parameter Muskingum stage and discharge routing methods , 2007 .

[8]  Z. W. Kundzewicz Multilinear flood routing , 1984 .

[9]  Muthiah Perumal Multilinear discrete cascade model for channel routing , 1994 .

[10]  Muthiah Perumal,et al.  Variable-Parameter Stage-Hydrograph Routing Method. II: Evaluation , 1998 .

[11]  Shōitirō Hayami On the Propagation of Flood Waves , 1951 .

[12]  Thomas N. Keefer,et al.  Multiple Linearization Flow Routing Model , 1974 .

[13]  Hossein M. V. Samani,et al.  Design of Circular Urban Storm Sewer Systems Using Multilinear Muskingum Flow Routing Method , 2003 .

[14]  Muthiah Perumal Multilinear muskingum flood routing method , 1992 .

[15]  M. Hanif Chaudhry,et al.  Flood routing in channels with flood plains , 1995 .

[16]  Vujica Yevjevich,et al.  Muskingum-Cunge Method with Variable Parameters , 1978 .

[17]  Zbigniew W. Kundzewicz,et al.  Nonlinear models of dynamic hydrology , 1986 .

[18]  T. Moramarco,et al.  A methodology for discharge estimation and rating curve development at ungauged river sites , 2007 .