Difference Methods of Flow in Branch Channel
Publication: Journal of Hydraulic Engineering
Volume 109, Issue 3
Abstract
The present paper is a study of the methods for calculating flow in branch channels. In order to obtain the unsteady flow in the channels without branching, this paper provides the non‐equidistant difference schemes on interior mesh points and the corresponding difference schemes on boundary mesh points. The branching of channels is a usual natural phenomenon, The calculation of the unsteady flow at branching is an important problem to be solved. In 1957, Stoker (5) proposed a calculating method, but it can be applicable only to the simple circumstance when the branch‐point is basically stationary. In fact, the branch point of tidal river (or some inland rivers) is movable within a somewhat large area depending on the variation of tide height (or flood height). For the movable branch point, the implicit and semi‐implicit methods will be provided in this paper. Both methods have already found their use in practical problems.
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References
1.
Dronkers, J. J., “Tidal Computations for Rivers, Coastal Areas and Seas,” Journal of the Hydraulics Division, ASCE, Vol. 95, No. HY1, Jan., 1969, pp. 29–77.
2.
Dronkers, J. J., Tidal Computations in Rivers and Coastal Waters, North‐Holland Publishing Co., Amsterdam, the Netherlands, pp. 203–205, 385–395.
3.
Lighthill, J., Waves in Fluids, Cambridge University Press, Cambridge, England, 1978, pp. 101–113.
4.
Ortega, J. M., and Rheinboldt, W. C., Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, N.Y., 1970, pp. 181–189, 310–320.
5.
Stoker, J. J., Water Waves, Interscience Publishers, Inc., New York, Interscience Publishers Ltd., London, England, 1957, pp. 451–505.
6.
Zhang, J. J., “Difference Methods for the Discontinuous Solution of Hydraulic Equations,” Yingyong Shuxue and Jisuan Shuxue, Vol. 3, 1966, pp. 12–30 (in Chinese).
7.
Godunov, S. K., “Difference Methods of Numerical Calculation for the Discontinuous Solution of Hydraulic Equations,” Mathematics Journal, Vol. 47, 1959, pp. 271–306 (in Russian).
Information & Authors
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Published In
Journal of Hydraulic Engineering
Volume 109 • Issue 3 • January 1983
Pages: 424 - 446
Copyright
Copyright © 1983 ASCE.
History
Published online: Jan 1, 1983
Published in print: Jan 1983
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