Simple, Robust, and Efficient Algorithm for Gradually Varied Subcritical Flow Simulation in General Channel Networks
Publication: Journal of Hydraulic Engineering
Volume 137, Issue 7
Abstract
This paper details the development of a method for subcritical flow modeling in channel networks by using the implicit finite-difference method. The method treats backwater effects at the junction points on the basis of junction-point water stage prediction and correction (JPWSPC). It is applicable to flows in both looped and nonlooped channel networks and has no requirement on the flow directions. The method is implemented in a numerical model, in which the Saint-Venant equations are discretized by using the four-point implicit Preissmann scheme, and the resulting nonlinear system of equations is solved by using the Newton-Raphson method. With the help of JPWSPC, each branch is computed independently. This guarantees the simplicity, efficiency, and robustness of the numerical model. The model is applied to two hypothetic channel networks and a real-life river network in South China. All the networks contain both branched and looped structures. The simulated results compare well with the results from literature or the measurements.
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Acknowledgments
The authors acknowledge the financial support from the National Natural Science Foundation of China (Project No. NNSFC50779026), and the National Basic Research and Development Program of China (Project No. UNSPECIFIED2006CB403304). The valuable suggestions from Professor Binliang Lin from Cardiff University, UK, and Dr. Dongfang Liang from Cambridge University, UK, are also gratefully acknowledged by the first author.
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Information
Published In
Journal of Hydraulic Engineering
Volume 137 • Issue 7 • July 2011
Pages: 766 - 774
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Mar 9, 2010
Accepted: Oct 28, 2010
Published online: Dec 22, 2010
Published in print: Jul 1, 2011
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