Open‐Channel Flow Algorithm in Newton‐Raphson Form
Publication: Journal of Irrigation and Drainage Engineering
Volume 118, Issue 2
Abstract
The standard step method is one of the most widely accepted procedures for computing open‐channel water surface profiles. Conventional computer models that use the standard step method often have cumbersome data requirements for routine drainage analyses. An algorithm has been developed that executes the standard step method in prismatic open channels. This algorithm, presented in Newton‐Raphson form, is suitable for subcritical, supercritical, critical, adverse, and horizontal flow regimes. Transition channel sections having linearly variable bottom widths are easily accommodated. Numerical solution of the standard step equations, without using look‐up tables and interpolation procedures, results in fast execution times. A steady flow computer program that uses the algorithm has been developed to perform some “smart” checking of hydraulic profile logic and to facilitate simple data entry. The program is available to interested persons free of charge, upon receipt of a self‐addressed stamped envelope, disk mailer, and diskette.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Cheney, E. W., and Kincaid, D. R. (1985). Numerical mathematics and computing. Wadsworth, Inc., Belmont, Calif.
2.
Chow, V. T. (1959). Open‐channel hydraulics. McGraw‐Hill, Inc., New York, N.Y.
3.
French, R. H. (1985). Open‐channel hydraulics. McGraw‐Hill, Inc., New York, N.Y.
4.
HEC‐2 Water Surface Profiles Users Manual. (1982). U.S. Army Corps of Engrs., Hydrologic Engrg. Ctr., Davis, Calif.
5.
Roesner, L. A., Shubinski, R. P., and Aldrich, J. A. (1983). Storm water management model user's manual version III, addendum I EXTRAN, U.S. Environ. Protection Agency, Cincinnati, Ohio.
6.
Shearman, J. O., Kirby, W. H., Schneider, V. R., and Flippo, H. N. (1986). Bridge waterways analysis model: Research report, U.S. Dept. of Transp., Fed. Highway Admin., McLean, Va.
7.
TR‐20, Project Formulation‐Hydrology. (1983). U.S. Dept. of Agric., Soil Conservation Service, Lanham, Md.
Information & Authors
Information
Published In
Copyright
Copyright © 1992 ASCE.
History
Published online: Mar 1, 1992
Published in print: Mar 1992
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.