Analytical Closed-Form Solution for 1D Linear Kinematic Overland Flow under Moving Rainstorms
Publication: Journal of Hydrologic Engineering
Volume 18, Issue 9
Abstract
An analytical solution for overland flow under (upstream and downstream) moving storms that uses Laplace transformation to solve the one-dimensional (1D) linear kinematic wave equation is presented. This solution, which corresponds to a single continuous function for the total space-time domain of the overland hydrograph, enables evaluation of the discharge over time for the total drainage plane surface. The result was compared with another analytical solution, a numerical simulation, and experimental runs using a laboratory flume. The comparison showed very good fit, and the proposed analytical solution was thus regarded as validated. By applying the model to hypothetical catchments and storm patterns, distinct hydrologic responses for upstream and downstream moving storms were identified.
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Acknowledgments
The authors wish to acknowledge José Pereira, B.Sc., and Dr. José Rodrigues for their valuable suggestions on the mathematical issues and Mr. Joaquim Cordeiro for his help with the laboratory work. The authors also wish to acknowledge the comments and suggestions of the three anonymous reviewers, the associated editor, and the editor-in-chief of the Journal of Hydrologic Engineering. The availability of the Laboratory of Hydraulics, Water Resources and Environment of the Department of Civil Engineering of the Faculty of Science and Technology, University of Coimbra (Portugal), in which the laboratory experiments took place, is also acknowledged.
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Information & Authors
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Published In
Journal of Hydrologic Engineering
Volume 18 • Issue 9 • September 2013
Pages: 1148 - 1156
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Nov 8, 2011
Accepted: Nov 5, 2012
Published online: Nov 7, 2012
Discussion open until: Apr 7, 2013
Published in print: Sep 1, 2013
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