Analytical Solutions of Nonlinear Kinematic Wave Model
Publication: Journal of Hydrologic Engineering
Volume 11, Issue 6
Abstract
An analytical solution of the nonlinear kinematic wave model of overland flow on a sloping plane for time-varying excess rainfalls of sinusoidal functions is presented by the method of characteristics. To obtain the closed form of the analytical solution, discharge per unit width in the expression of Manning’s formula is approximated by a parabolic curve. The analytical solution is also compared with the numerical one and their agreement is found to be good. The analytical solution is applied to rainfall and runoff processes with given hyetograph using Fourier series analysis. The computational results of the analytical solution are compared with the observed data. It explains the observation on an impermeable slope very well. It is found that the analytical solution is suitable for estimating design flood from excess rainfall in a simple watershed.
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Acknowledgments
The writer wishes to thank T. Kishii, a professor at Kanazawa Institute of Technology, for providing the observed data of overland flow experiments. He also wishes to express his sincere appreciation to anonymous referees who gave comments and suggestions to strengthen the paper.
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Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 11 • Issue 6 • November 2006
Pages: 539 - 546
Copyright
© 2006 ASCE.
History
Received: Mar 15, 2004
Accepted: Jan 31, 2006
Published online: Nov 1, 2006
Published in print: Nov 2006
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