Elliptic Harbor Wave Model with Perfectly Matched Layer and Exterior Bathymetry Effects
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 142, Issue 5
Abstract
Standard strategies for dealing with the Sommerfeld condition in elliptic mild-slope models require strong assumptions on the wave field in the region exterior to the computational domain. More precisely, constant bathymetry along (and beyond) the open boundary, and parabolic approximations–based boundary conditions are usually imposed. Generally, these restrictions require large computational domains, implying higher costs for the numerical solver. An alternative method for coastal/harbor applications is proposed here. This approach is based on a perfectly matched layer (PML) that incorporates the effects of the exterior bathymetry. The model only requires constant exterior depth in the alongshore direction, a common approach used for idealizing the exterior bathymetry in elliptic models. In opposition to standard open boundary conditions for mild-slope models, the features of the proposed PML approach include (1) completely noncollinear coastlines, (2) better representation of the real unbounded domain using two different lateral sections to define the exterior bathymetry, and (3) the generation of reliable solutions for any incoming wave direction in a small computational domain. Numerical results of synthetic tests demonstrate that solutions are not significantly perturbed when open boundaries are placed close to the area of interest. In more complex problems, this provides important performance improvements in computational time, as shown for a real application of harbor agitation.
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Acknowledgments
This work has been partially supported by the Spanish Ministry of Science and Competitiveness (Grants DPI2011-27778-C02-02 and DPI2014-51844-C2-02), and the Catalan Government (Grant 2009SGR875).
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 142 • Issue 5 • September 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Feb 23, 2015
Accepted: Jan 27, 2016
Published online: Apr 13, 2016
Published in print: Sep 1, 2016
Discussion open until: Sep 13, 2016
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