Second-Order Solution for Damped Cooscillating Tide in Narrow Canal
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 12
Abstract
The M0 and M4 tidal currents are important for tide-induced net transport of sediment. To develop a physical understanding of the processes responsible for generating M0 and M4, a second-order analytical solution for a damped cooscillating tide in a closed-end canal with a horizontal bottom is presented. In deriving the analytical solution, it is assumed that the governing shallow water equations are weakly nonlinear, allowing the use of a perturbation technique. For this, the friction term in the momentum equation is linearized by requiring the tidally and spatially averaged energy dissipation by M2 to be the same for the nonlinear and linearized friction. To determine the accuracy, for selected canals, the analytical solution is compared with numerical solutions. For M0 and M4, numerical and analytical values are within 20%. The analytical solution is used to demonstrate the internal generation of M0 and M4 through the nonlinear terms in the equations.
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Information
Published In
Journal of Hydraulic Engineering
Volume 124 • Issue 12 • December 1998
Pages: 1253 - 1260
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Dec 1, 1998
Published in print: Dec 1998
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