Efficient Nonhydrostatic Modeling of Surface Waves from Deep to Shallow Water
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 136, Issue 2
Abstract
An efficient nonhydrostatic model with the embedded Boussinesq-type like equations at the free surface is presented to simulate surface waves from shallow to deep water. The new free-surface treatment yields an accurate expression of vertical distribution of nonhydrostatic pressure. This approach is free of the irrotational flow assumption. Two locations of reference velocities obtained through interpolations of nonhydrostatic velocities are used to optimize frequency dispersion for a wide range of wave conditions. Accuracy and efficiency of the model is critically tested against analytical solutions and experimental data. Overall, the present nonhydrostatic model using a small number of vertical layers (i.e., 2–4) is capable of resolving dispersive wave motions with various effects.
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Acknowledgments
The research is partly supported by Grant No. UNSPECIFIEDNSF-OCE-0628560, “The carbon balance of Lake Superior: Modeling lake processes and understanding impacts of regional carbon cycle and the Wisconsin Coastal Management Program,” and Grant No. UNSPECIFIEDAD089091-009.23, “Development of a real-time wave climate observation system in the Apostle Islands.” We also thank National Science Council of the Republic of China, Taiwan under the Grant No. UNSPECIFIED096-2917-I-002-036 for the second writer and the U.S. Office of Naval Research under the Award No. UNSPECIFIEDN00014-07-1-0955 for the third writer.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 136 • Issue 2 • March 2010
Pages: 104 - 118
Copyright
© 2010 ASCE.
History
Received: Apr 9, 2009
Accepted: Aug 12, 2009
Published online: Feb 12, 2010
Published in print: Mar 2010
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