Hamiltonian Boussinesq Simulations for Waves Entering a Harbor with Access Channel
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 144, Issue 2
Abstract
Numerical simulations are often used to predict the deformation of waves and their impact on structures in harbors and access channels. An underprediction of these waves could lead to structural failure or ship accidents, so accurate numerical models should be capable of capturing the complex physical processes correctly. In this contribution, the authors consider wave penetration into a harbor with a complex bathymetry from an access channel using numerical simulations with wave models in a software program. The wave models were derived based on consistent modeling using a variational principle for water waves to produce the dynamic equations in Hamiltonian form. By approximating the Hamiltonian, the so-called analytic Boussinesq (AB) model was used and discretized into a global spatial-spectral numerical method. Numerical results compared with laboratory experiments show better performance than in other publications on the same application.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors thank Deltares for the use of the physical model description from which the spectra of influx and at measurement positions were obtained. The authors thank the referees for their comments that improved the first version. R. K. is partly funded by the Netherlands Organization for Scientific Research NWO, Technical Science Division STW, Project 11642.
References
Beltrami, G. M., De Girolma, P., and Pellegrini, G. (2003). “Influence of dredged channels on wave penetration into harbors: The Malamocco inlet case.” Proc., Coastal Structures 2003, ASCE, Reston, VA, 702–714.
Broer, L. J. F. (1974). “On the Hamiltonian theory of surface waves.” Appl. Sci. Res., 29(1), 430–446.
Dusseljee, D., Klopman, G., van Vledder, G., and Riezebos, H. J. (2014). “Impact of harbor navigation channels on waves: A numerical modelling guideline.” Proc., 34th Int. Conf. on Coastal Engineering, ICCE, Los Angeles, 58.
Groeneweg, J., van Gent, M., van Nieuwkoop, J., and Toledo, Y. (2015). “Wave propagation into complex coastal systems and the role of nonlinear interactions.” J. Waterway, Port, Coastal, Ocean Eng., 04015003.
Groeneweg, J., van Nieuwkoop, J., and Toledo, Y. (2014). “On the modelling of swell wave penetration into tidal inlet system.” Proc., 34th Int. Conf. on Coastal Engineering, ICCE, Los Angeles.
HAWASSI (Computer software). LabMath-Indonesia, Bandung, Indonesia.
Kirby, J. T., and Dalrymple, R. A. (1983). “Propagation of obliquely incident water waves over a trench.” J. Fluid Mech., 133, 47–63.
Kurnia, R., and van Groesen, E. (2014). “High order Hamiltonian water wave models with wave-breaking mechanism.” Coastal Eng., 93, 55–70.
Kurnia, R., and van Groesen, E. (2015). “Localization in spatial-spectral method for water wave applications.” Proc., Int. Conf. on Spectral and High Order Methods for Partial Differential Equations, Springer, New York, 305–313.
Kurnia, R., and van Groesen, E. (2017). “Localization for spatial–spectral implementations of 1D Analytic Boussinesq equations.” Wave Motion, 72, 113–132.
Li, Y. S., Liu, S.-X., Wai, O. W. H., and Yu, Y.-X. (2000). “Wave concentration by a navigation channel.” Appl. Ocean Res., 22(4), 199–213.
Liam, L. S., Adytia, D., and van Groesen, E. (2014). “Embedded wave generation for dispersive surface wave models.” Ocean Eng., 80, 73–83.
Luke, J. C. (1967). “A variational principle for a fluid with a free surface.” J. Fluid Mech., 27(2), 395–397.
MIKE 21 [Computer software]. DHI, Hørsholm, Denmark.
Miles, J. W. (1977). “On Hamilton’s principle for surface waves.” J. Fluid Mech., 83(1), 153–158.
Monteban, D. (2016). “Numerical modelling of wave agitation in ports and access channels.” M.S. thesis, Dept. of Hydraulic Engineering, Delft Univ. of Technology, Delft, Netherlands.
SWAN [Computer software]. Delft Univ. of Technology, Delft, Netherlands.
SWASH [Computer software]. Delft Univ. of Technology, Delft, Netherlands.
Triton [Computer software]. Sundog Software, Winter Springs, FL.
Van Der Werf, I. M., and Hofland, B. (2012). Rep. No. 1205180-000-HYE-0005, Deltares, Boussinesqweg 1, 2629 HV Delft, Netherlands.
van Groesen, E., and van der Kroon, I. (2012). “Fully dispersive dynamic models for surface water waves above varying bottom, Part 2: Hybrid spatial-spectral implementations.” Wave Motion, 49(1), 198–211.
Yu, Y.-X., Liu, S.-X., Li, Y., and Waib, O. W. (2000). “Refraction and diffraction of random waves through breakwater.” Ocean Eng., 27(5), 489–509.
Zakharov, V. E. (1968). “Stability of periodic waves of finite amplitude on the surface of a deep fluid.” J. Appl. Mech. Tech. Phys., 9(2), 190–194.
Zwamborn, J. A., and Grieve, G. (1974). “Wave attenuation and concentration associated with harbour approach channels.” Proc., 14th Conf. on Coastal Engineering, ASCE, Reston, VA, 2068–2085.
Information & Authors
Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 144 • Issue 2 • March 2018
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Mar 22, 2017
Accepted: Sep 5, 2017
Published online: Dec 19, 2017
Published in print: Mar 1, 2018
Discussion open until: May 19, 2018
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.