Variable Parameter Muskingum Routing Considering Downstream Effects
Publication: Journal of Hydraulic Engineering
Volume 133, Issue 11
Abstract
Using a variable parameter Muskingum method, a procedure for discharge hydrograph routing in prismatic channels considering downstream effects is presented. The method involves a two step process: (1) a given routing reach is divided into a number of subreaches with each subreach having a representative unique stage–discharge relationship established by using a gradually varied flow profile estimation technique; and (2) the routing of a given inflow hydrograph through these subreaches successively using the variable parameter Muskingum method with parameter variation achieved using the established stage–discharge relationships pertinent to the subreaches and the assumptions of the routing method. The ability of this procedure to route floods accounting for downstream effects is demonstrated by routing a given hypothetical inflow hydrograph in three rectangular channels each with a reach length of , and for two different scenarios of downstream boundary conditions, one resulting in an M1 profile and another in an M2 profile with the control at the end of the reach. The M1 profile is formed due to the prescribed boundary condition at the outlet of the reach that the flow depth at that section is equal to twice the normal depth in the channel reach. The M2 profile is formed due to a free fall located at the outlet of the reach. The routing results obtained using this procedure are compared with the corresponding Saint-Venant solutions arrived at using the U.S. National Weather Service’s DAMBRK model, which is used as a benchmark. The performance of this discharge routing procedure compares well with the corresponding DAMBRK model solutions subject to the criterion being satisfied.
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Acknowledgments
The first writer is grateful to Professor Roland K. Price, Institute for Water Education, UNESCO-IHE, Delft, The Netherlands, for editing an earlier version of the manuscript for its clarity and organization. However, the writers own the responsibility for any technical shortcomings of this paper. The suggestions made by the anonymous reviewers in improving the content of this manuscript are thankfully acknowledged. The writers are thankful to Mr. Bhabagrahi Sahoo, Research Scholar, Department of Hydrology, Indian Institute of Technology, Roorkee, for word processing the manuscript.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 133 • Issue 11 • November 2007
Pages: 1249 - 1260
Copyright
© 2007 ASCE.
History
Received: Nov 4, 2004
Accepted: May 16, 2007
Published online: Nov 1, 2007
Published in print: Nov 2007
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