Analysis of Water Waves Passing Over a Submerged Rectangular Dike
Publication: Journal of Engineering Mechanics
Volume 129, Issue 6
Abstract
The analytic solutions of inviscid and viscous water waves passing over a submerged rectangular dike are investigated. Owing to the fact that the orthogonality of eigenfunctions is invalid for viscous wave problem, two newly developed orthogonal inner products are applied to reduce the mathematical difficulty of viscous wave problem. Both inviscid and viscous water wave solutions are obtained under the assumption of linear water wave without separation. It shows that two solutions have no significant kinematic difference but the viscous contribution of dynamic effect is not negligible. Beside giving a better theoretical approach, which reduces the error of the conventional minimal squares method, the result of the present analytical solution can be used to quantitatively evaluate the correctness of experiments and also provides helpful information such as near wall boundary layer thickness and oscillating free surface for computational use.
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Information
Published In
Journal of Engineering Mechanics
Volume 129 • Issue 6 • June 2003
Pages: 613 - 626
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Dec 14, 2001
Accepted: Oct 21, 2002
Published online: May 15, 2003
Published in print: Jun 2003
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