Numerical Modeling of Coastal Waves and Nearshore Currents on Adaptive Quadtree Grids
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 144, Issue 5
Abstract
Coastal wave-induced nearshore currents are likely present as waves propagate and break on shallow-water zones. Accurate and efficient predictions of coastal waves and wave-induced nearshore currents in coastal areas are essential for coastal engineering. In this article, an efficient numerical model consisting of adaptive multilevel quadtree meshes for coastal waves and nearshore currents is presented. The numerical model consists of coastal wave and wave-induced nearshore-current models. In the model, coastal waves are modeled using the elliptic mild-slope equation that accounts for wave refraction, diffraction, reflection, and breaking-induced energy-dissipation effects, and nearshore currents are modeled using two-dimensional horizontal (2DH) depth-integrated shallow-water equations for which the wave radiation stresses for driving currents are provided by the wave model. The numerical model is solved using the finite-volume method on a Cartesian grid with an adaptive multilevel quadtree mesh system. The numerical mesh is adaptively refined according to local wavelengths, and the primary numerical grid is divided into four secondary grids if the local wavelength is smaller than eightfold the grid length. This allows the effective and accurate simulation of coastal waves and nearshore currents over complex topographies by a locally flexible refining grid resolution. The numerical model is validated by comparing the numerical results with experimental and field-measured results. The agreement between the numerical and measured data shows that the numerical model is both effective and efficient in modeling coastal waves and nearshore currents.
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Acknowledgments
The authors acknowledge support from the National Key R&D Program of China under Contract 2017YFC1404200 and the National Natural Science Foundation of China under Contracts 51579036 and 51779039.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 144 • Issue 5 • September 2018
Copyright
© 2018 American Society of Civil Engineers.
History
Received: Jan 4, 2017
Accepted: Feb 15, 2018
Published online: Jun 19, 2018
Published in print: Sep 1, 2018
Discussion open until: Nov 19, 2018
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