Chebyshev Solution as Aid in Computing GVF by Standard Step Method
Publication: Journal of Irrigation and Drainage Engineering
Volume 126, Issue 4
Abstract
The standard step method is commonly used to compute free surface profiles in gradually varied flow (GVF) through open channels. In this study, generalized numerical solutions in the Chebyshev form are presented for the standard step method to compute the free surface profiles in GVF without using look-up tables, interpolation procedures, or simplified assumptions concerning the cross-section geometry. The solutions are obtained using the flow resistance equations of Manning, Chezy, and Colebrook-White. The necessary parameters of some particular cases, namely rectangular, triangular, trapezoidal, circular, and exponential channels, are furnished. The use of the Chebyshev approximation has the advantage of requiring less iteration than the Newton-Raphson approximation.
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Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 126 • Issue 4 • July 2000
Pages: 271 - 274
History
Received: May 27, 1999
Published online: Jul 1, 2000
Published in print: Jul 2000
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