Research Article
Dec 1970
Implicit Flood Routing in Natural Channels
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VIEW THE REPLYAuthors: Michael Amein, M.ASCE, and Ching S. FangAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 96, Issue 12
Abstract
Flood routing in natural channels and many other applications in hydraulic engineering based on the solution of the equations of unsteady flow require fast and accurate numerical methods. Numerical methods which are successful in other applications prove to be inefficient when used for flood routing. An implicit numerical method which is both fast and accurate can be established on the basis of: (1) a centered difference scheme to represent the primary differential equations in finite difference form; and (2) the simultaneous solution of the finite difference equations for each time step. The difference equations constitute a system of nonlinear algebraic equations which can be solved on a digital computer by Newton iteration method. The computational scheme becomes very efficient when advantage is taken of the sparseness of the matrix of coefficients of the linear systems employed in the iteration. Applications of the implicit method show that it can be conveniently used for highly irregular channels.
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Published In
Journal of the Hydraulics Division
Volume 96 • Issue 12 • December 1970
Pages: 2481 - 2500
Copyright
© 1970 American Society of Civil Engineers.
History
Published in print: Dec 1970
Published online: Feb 3, 2021
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Michael Amein, M.ASCE
Prof. of Civ. Engrg., Dept. of Civ. Engrg., North Carolina State Univ., Raleigh, N.C.
Ching S. Fang
Assoc. Marine Scientist, Virginia Inst. of Marine Science, Gloucester Point, Va.
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