Fully Nonhydrostatic Modeling of Surface Waves
Publication: Journal of Engineering Mechanics
Volume 132, Issue 4
Abstract
A fully nonhydrostatic model is tested by simulating a range of surface-wave motions, including linear dispersive waves, nonlinear Stokes waves, wave propagation over bottom topographies, and wave–current interaction. The model uses an efficient implicit method to solve the unsteady, three-dimensional, Navier-Stokes equations and the fully nonlinear free-surface boundary conditions. A new top-layer pressure treatment is incorporated to fully include the nonhydrostatic pressure effect. The model results are verified against either analytical solutions or experimental data. It is found that the model using a small number of vertical layers is capable of accurately simulating both the free-surface elevation and vertical flow structure. By further examining the model’s performance of resolving wave dispersion and nonlinearity, the model’s efficiency and accuracy are demonstrated.
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Acknowledgments
This study was supported in part by the North Temperate Lakes Long-Term Ecological Research (NSF 0217533), the Wisconsin Alumni Research Foundation (WARF 040061), and the University of Wisconsin Sea Grant (NA16RG2257). The authors thank Dr. S. Beji at the Istanbul Technical University and Dr. K. Nadaoka at the Tokyo Institute of Technology for providing the experimental data.
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© 2006 ASCE.
History
Received: Mar 23, 2005
Accepted: Jul 6, 2005
Published online: Apr 1, 2006
Published in print: Apr 2006
Notes
Note. Associate Editor: Nikolaos D. Katopodes
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