TECHNICAL NOTES
Feb 4, 2010

New Methodology for Laboratory Generation of Solitary Waves

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 136, Issue 5

Abstract

Traditionally, solitary waves are generated in the laboratory setups using the Goring’s methodology that considers a wave of permanent form during the generation process. In this study, we propose a new methodology for solitary wave generation using piston-type wavemakers by considering the evolving nature of the wave during the generation process. This proposed methodology is tested by conducting a series of experiments in a wave tank. In the experiments, generation of solitary wave profiles predicted by Boussinesq’s and Rayleigh’s theoretical solutions are accomplished using both the New and Goring methodologies. Waves generated using the Goring methodology served as a benchmark to assess the performance of the proposed New methodology. Comparisons of experimental observations and theoretical solutions for various wave characteristics have shown that the New methodology is capable of generating more accurate solitary waves with less attenuation as waves propagate compared to the Goring methodology. Proposed solitary wave generation methodology is expected to be useful in various laboratory investigations to study different aspects of long wave theories and to simulate tsunamis and internal waves, among others.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This research was supported by the funds provided by College of Engineering and Science at Clemson University to the second writer.

References

Boussinesq, M. J. (1872). “Théorie des ondes et des remous qui se propagent le long d’un canal rectangulaire horizontal, en communiquant au liquide contenu dans un canal des vitesses sensiblement pareilles de la surface au fond (Theory of waves and eddies that propagage along a horizontal rectangular channel, creating approximately the same speed in the fluid form from its surface to the bottom).” J. Math. Pures Appl., 2(17), 55–108.
Camfield, F. E., and Street, R. L. (1969). “Shoaling of solitary waves on small slopes.” J. Wtrwy. and Harb. Div., 1, 1–22.
Chaudhry, M. H. (2008). Open-channel flow, 2nd Ed., Springer, New York.
Chow, K. W. (1989). “A second-order solution for the solitary wave in a rotational flow.” Phys. Fluids A, 1(7), 1235–1239.
Goring, D. G. (1979). “Tsunamis—The propagation of long waves onto a shelf.” Ph.D. thesis, California Institute of Technology, Pasadena, CA.
Grimshaw, R. H. J. (1971). “The solitary wave in water of variable depth. Part 2.” J. Fluid Mech., 46, 611–622.
Guizien, K., and Barthelemy, E. (2002). “Accuracy of solitary wave generation by a piston wave maker.” J. Hydraul. Res., 40(3), 321–331.
Hall, J. V., and Watts, J. W. (1953). “Laboratory investigation of the vertical rise of solitary waves on impermeable slopes.” Tech. Memo. 33, Beach Erosion Board, Office of the Chief of Engineers, U.S. Army Corps of Engineers, Army Coastal Engineering Research Center, Washington, D.C.
Hammack, J. L., and Segur, H. (1974). “The Korteweg-de Vries equation and water waves. Part 2. Comparison with experiments.” J. Fluid Mech., 65, 289–314.
Jensen, A., Pedersen, G. K., and Wood, D. J. (2003). “An experimental study of wave run-up at a steep beach.” J. Fluid Mech., 486, 161–188.
Keulegan, G. H. (1948). “Gradual damping of solitary waves.” J. Res. Natl. Bur. Stand., 40, 487–498.
Kishi, T., and Saeki, H. (1966). “The shoaling, breaking, and runup of the solitary wave on impermeable rough slopes.” Proc., 10th Coastal Engineering Conf., Tokyo, ASCE, 322–348.
Laitone, E. V. (1960). “The second approximation to cnoidal and solitary waves.” J. Fluid Mech., 9, 430–444.
Li, Y., and Raichlen, F. (2001). “Solitary wave runup on plane slopes.” J. Waterway, Port, Coastal, Ocean Eng., 127(1), 33–44.
Madsen, P. A., Fuhrman, D. R., and Schaeffer, H. A. (2008). “On the solitary wave paradigm for tsunamis.” J. Geophys. Res., [Oceans], 113, C12012.
Miles, J. W. (1980). “Solitary waves.” Annu. Rev. Fluid Mech., 12, 11–43.
Ramsden, J. D. (1993). “Tsunamis: Forces on a vertical wall caused by long waves, bores, and surges on a dry bed.” Ph.D. thesis, California Institute of Technology, Pasadena, CA.
Rayleigh, L. (1876). “On waves.” Philos. Mag., 1, 257–279.
Russell, J. S. (1845). “Report on waves.” Proc., 14th Meeting of British Association for the Advancement of Science, John Murray, London, 311–390.
Svendsen, I. A. (1974). “Cnoidal waves over a gently sloping bottom.” Series Paper No. 6, Institute of Hydrodynamics and Hydraulic Engineering, Technical Univ. of Denmark, Lyngby, Denmark.
Synolakis, C. E. (1987). “The runup of solitary waves.” J. Fluid Mech., 185, 523–545.
Synolakis C. E. (1990). “Generation of long waves in laboratory.” J. Waterway, Port, Coastal, Ocean Eng., 116(2), 252–266.
Synolakis, C. E., and Bernard, E. N. (2006). “Tsunami science before and beyond Boxing Day.” Philos. Trans. R. Soc. London, Ser. A, 364, 2231–2265.
Wiegel, R. L. (1955). “Laboratory studies of gravity waves generated by the movement of a submarine body.” Trans., Am. Geophys. Union, 36(5), 759–774.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 136Issue 5September 2010
Pages: 286 - 294

History

Received: May 6, 2009
Accepted: Dec 22, 2009
Published online: Feb 4, 2010
Published in print: Sep 2010

Permissions

Request permissions for this article.

Authors

Affiliations

Siamak Malek-Mohammadi
Graduate Student, Dept. of Civil Engineering, Clemson Univ., Clemson, SC 29634.
Firat Y. Testik, A.M.ASCE [email protected]
Assistant Professor, Dept. of Civil Engineering, Clemson Univ., Clemson, SC 29634 (corresponding author). E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share