Technical Papers
May 18, 2020

Mini-Tsunami Made by Ship Moving Across a Depth Change

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 146, Issue 5

Abstract

A ship moving across a shallow depth change, in water in a small or narrow space, may create a small tsunami, 0.5–1 km long, observed as a harbor wave on shore, where a wave height up to 1.4 m has been measured. The paper gives an interpretation of the generation process of this new phenomenon. At a depth change, the ship-induced fluid velocity produces a reaction velocity of equal magnitude and opposite direction, orthogonal to the bottom. This velocity appears as a vertical velocity at the water surface, making the waves. The waves propagate with the shallow water speed upstream of a ship moving at subcritical speed. Theory and numerical calculations for a real ship geometry are compared with a moving pressure distribution. Computations compare favorably with a few available wave height measurements.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. This includes numerical input parameters and results, and observation data.

References

Beck, R. F., J. N. Newman, and E. O. Tuck. 1975. “Hydrodynamic forces in ships in dredged channels.” J. Ship Res. 19 (3): 166–171.
Clamond, D., and J. Grue. 2001. “A fast method for fully nonlinear water wave computations.” J. Fluid Mech. 447: 337–355. https://doi.org/10.1017/S0022112001006000.
Cole, S. L. 1985. “Transient waves produced by flow past a bump.” Wave Motion 7 (6): 579–587. https://doi.org/10.1016/0165-2125(85)90035-6.
Constantine, T. 1960. “On the movement of ships in restricted waterways.” J. Fluid Mech. 9 (2): 247–256. https://doi.org/10.1017/S0022112060001080.
Fructus, D., and J. Grue. 2007. “An explicit method for the nonlinear interaction between water waves and variable and moving bottom topography.” J. Comput. Phys. 222 (2): 720–739. https://doi.org/10.1016/j.jcp.2006.08.014.
Grue, J. 2002. “On four highly nonlinear phenomena in wave theory and marine hydrodynamics.” Appl. Ocean Res. 24 (5): 261–274. https://doi.org/10.1016/S0141-1187(03)00006-3.
Grue, J. 2010. “Computation formulas by FFT of the nonlinear orbital velocity in three-dimensional surface wave fields.” J. Eng. Math. 67 (1–2): 55–69. https://doi.org/10.1007/s10665-009-9334-7.
Grue, J. 2015. “Nonlinear dead water resistance at subcritical speed.” Phys. Fluids 27 (8): 082103. https://doi.org/10.1063/1.4928411.
Grue, J. 2017. “Ship generated mini-tsunamis.” J. Fluid Mech. 816: 142–166. https://doi.org/10.1017/jfm.2017.67.
Hamer, M. 1999. “Solitary killers.” New Sci. 163 (2291): 18–19.
Li, Y., and P. D. Sclavounos. 2002. “Three-dimensional nonlinear solitary waves in shallow water generated by an advancing disturbance.” J. Fluid Mech. 470: 383–410. https://doi.org/10.1017/S0022112002001568.
Mei, C. C. 1986. “Radiation of solitons by slender bodies advancing in a shallow channel.” J. Fluid Mech. 162 (1): 53–67. https://doi.org/10.1017/S0022112086001921.
Neuman, D. G., E. Tapio, D. Haggard, K. E. Laws, and R. W. Bland. 2001. “Observation of long waves generated by ferries.” Can. J. Remote Sens. 27 (4): 361–370. https://doi.org/10.1080/07038992.2001.10854878.
Newman, J. N. 1977. Marine hydrodynamics. Cambridge, MA: MIT.
Parnell, K. E., S. C. McDonald, and A. E. Burke. 2007. “Shoreline effects of vessel wakes, Marlborough sounds, New Zealand.” J. Coastal Res. 50: 502–506.
Parnell, K. E., T. Soomere, L. Zaggia, A. Rodin, G. Lorenzetti, J. Rapaglia, and G. M. Scarpa. 2015. “Ship-induced solitary Riemann waves of depression in Venice Lagoon.” Phys. Lett. A 379 (6): 555–559. https://doi.org/10.1016/j.physleta.2014.12.004.
Pedersen, G. 1988. “Three-dimensional wave patterns generated by moving disturbances at transcritical speeds.” J. Fluid Mech. 196: 39–63. https://doi.org/10.1017/S0022112088002605.
Soomere, T., K. E. Parnell, and I. Didenkulova. 2011. “Water transport in wake waves from high-speed vessels.” J. Mar. Syst. 88 (1): 74–81. https://doi.org/10.1016/j.jmarsys.2011.02.011.
Torsvik, T., G. Pedersen, and K. Dysthe. 2009. “Waves generated by a pressure disturbance moving in a channel with a variable cross-sectional topography.” J. Waterway, Port, Coastal, Ocean Eng. 135 (3): 120–123. https://doi.org/10.1061/(ASCE)0733-950X(2009)135:3(120).
Tuck, E. O. 1966. “Shallow-water flows past slender bodies.” J. Fluid Mech. 26 (1): 81–95. https://doi.org/10.1017/S0022112066001101.
Wu, T. Y. 1987. “Generation of upstream advancing solitons by moving disturbances.” J. Fluid Mech. 184: 75–99. https://doi.org/10.1017/S0022112087002817.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 146Issue 5September 2020

History

Received: Aug 19, 2019
Accepted: Feb 10, 2020
Published online: May 18, 2020
Published in print: Sep 1, 2020
Discussion open until: Oct 18, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Dept. of Mathematics, Univ. of Oslo, P.O. Box 1053 Blindern, 0316 Oslo, Norway. ORCID: https://orcid.org/0000-0001-6560-4970. Email: [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