Water Waves in Harbor Areas: Appreciation of Open Boundary Conditions
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 128, Issue 5
Abstract
Open boundary conditions significantly influence the results of a water wave numerical model based on the mild slope equation. An integral equation is written on an arc of a circle for a harbor area limited by two semi-infinite, fully reflective, straight dikes of any direction. This formulation, providing useful idealized tests for practical use, is compared with parabolic approximations in an analytical test case and for a schematic harbor. Parabolic approximations provide excellent results if the reflected wavefield generated from the exterior dikes is well known.
Get full access to this article
View all available purchase options and get full access to this article.
References
Berkhoff, J. C. W. (1976). “Mathematical models for simple harmonic linear water waves: Wave diffraction and refraction.” PhD thesis, Delft Hydraulics Laboratory, Delft, The Netherlands.
Bonnefille, R. (1992). “La diffraction de la houle.” Cours d’hydraulique maritime, Masson.
Dingemans, M. W. (1997). Water wave propagation over uneven bottoms: Part 1-Linear wave propagation, World Scientific, Rivers Edge, N.J., 326–334.
Engquist, B., and Majda, A.(1977). “Absorbing boundary conditions for the numerical simulation of waves.” Math. Comput., 31(139), 629–651.
Givoli, D., and Keller, J. B.(1989). “A finite element method for large domains.” Comput. Methods Appl. Mech. Eng., 76, 41–66.
Mei, C. C. (1989). “The applied dynamics of ocean surface waves.” Advanced series on ocean engineering, World Scientific, Rivers Edge, N.J.
Panchang, V., Chen, W., Xu, B., Schlenker, K., Demirbilek, Z., and Okihiro, M.(2000). “Exterior bathymetric effects in elliptic harbor wave models.” J. Waterw., Port, Coastal, Ocean Eng., 126(2), 71–78.
Tolstoy, I.(1989). “Exact, explicit solutions for diffraction by hard sound barriers and seamounts.” J. Acoust. Soc. Am., 85(2), 661–669.
Tsay, T. K., Zhu, W., and Liu, P. L. F.(1989). “A finite element model for wave refraction, diffraction, reflection and dissipation.” Appl. Ocean. Res., 11(1), 33–38.
Xu, B., Panchang, V., and Demirbilek, Z.(1996). “Exterior reflections in elliptic harbor wave models.” J. Waterw., Port, Coastal, Ocean Eng., 122(3), 118–126.
Information & Authors
Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 128 • Issue 5 • September 2002
Pages: 184 - 189
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Nov 9, 1999
Accepted: Apr 8, 2002
Published online: Aug 15, 2002
Published in print: Sep 2002
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.