Design of Circular Urban Storm Sewer Systems Using Multilinear Muskingum Flow Routing Method

In this study, a multilinear Muskingum method is presented for hydrologic routing through circular conduits. In order to increase accuracy, the reference discharge is assumed to be a nonlinear function of conduit diameter, Manning coefficient, bed slope, and peak discharge of the inflow hydrograph. The reference discharge function has been determined using a nonlinear regression technique. Flow depths are computed at every time step by solving the continuity equation using an implicit finite difference scheme. Many storm hydrographs were routed through circular conduits of various sizes by the proposed model. The calculated routed hydrographs and water surface profiles indicate close agreement with those obtained by solving Saint Venant equations. Using this method, a branched urban sewer system was designed. This indicates that the method can be easily implemented for design purposes because of its simplicity, accuracy, and computational efficiency.

[1]  James C. I. Dooge,et al.  Linear Theory of Hydrologic Systems , 1973 .

[2]  Mark H. Houck,et al.  Optimal Muskingum River Routing , 1985 .

[3]  D. Fread.  Technique for implicit dynamic routing in rivers with tributaries , 1973 .

[4]  Ireneusz Stȩpień.  On the numerical solution of the Saint-Venant equations , 1984 .

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

[6]  Jaewan Yoon,et al.  Parameter Estimation of Linear and Nonlinear Muskingum Models , 1993 .

[7]  Quang Kim Nguyen,et al.  Simultaneous Solution for Flood Routing in Channel Networks , 1995 .

[8]  Michael Amein.  An Implicit Method for Numerical Flood Routing , 1968 .

[9]  Jaroslaw J. Napiorkowski,et al.  Hydrodynamic derivation of storage parameters of the Muskingum model , 1982 .

[10]  M. A. Gill.  Flood routing by the Muskingum method , 1978 .

[11]  Michael Amein,et al.  Implicit Numerical Modeling of Unsteady Flows , 1975 .

[12]  Y. Tung.  River flood routing by nonlinear muskingum method , 1985 .

[13]  Ian Joliffe,et al.  Computation of Dynamic Waves in Channel Networks , 1984 .

[14]  Suhas V. Patankar,et al.  A NEW FINITE-DIFFERENCE SCHEME FOR PARABOLIC DIFFERENTIAL EQUATIONS , 1978 .

[15]  George Tchobanoglous,et al.  Wastewater Engineering: Collection and Pumping of Wastewater , 1981 .

[16]  C. P. Skeels,et al.  Stability Limits for Preissmann's Scheme , 1990 .

[17]  Alvaro A. Aldama.  Least-Squares Parameter Estimation for Muskingum Flood Routing , 1990 .