Abstract

Herein a simple numerical model for both overland and channel water routing is presented. A second‐order nonlinear scheme is developed to solve the kinematic wave equation with the boundary condition of time variant inflows. The numerical solutions agree very well with analytical solutions which are available for some particular cases. This model includes the effects of rainfall on flow resistance and simulates hydrographs which agree very well with experimental results for both constant rainfall and variable rainfall cases. The interesting phenomena of ‘pip’ and ‘dip’ in overland flow hydrographs are successfully simulated. These phenomena are found to be the results of sudden changes of flow resistance due to ceasing or starting of rainfall. The same routing procedure for overland flow is employed to route flow in natural channels.

Keywords

Kinematic waveHydrographRouting (electronic design automation)Flow (mathematics)Nonlinear systemFlow routingConstant (computer programming)KinematicsSurface runoffChannel (broadcasting)MechanicsMathematicsApplied mathematicsMathematical optimizationGeologyComputer scienceGeotechnical engineeringPhysicsClassical mechanicsTelecommunications

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Publication Info

Year
1975
Type
article
Volume
11
Issue
2
Pages
245-252
Citations
76
Access
Closed

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Ruh‐Ming Li, Daryl B. Simons, Michael A. Stevens (1975). Nonlinear kinematic wave approximation for water routing. Water Resources Research , 11 (2) , 245-252. https://doi.org/10.1029/wr011i002p00245

Identifiers

DOI
10.1029/wr011i002p00245

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