General solutions for the initial run-up of a breaking tsunami front

Guard, P. A., Baldock, T. and Nielsen, P. (2005). General solutions for the initial run-up of a breaking tsunami front. In: International Symposium Disaster Reduction on Coasts. International Symposium Disaster Reduction on Coasts, Melbourne, VIC, Australia, (1-8). 14-16 November 2005.

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Author Guard, P. A.
Baldock, T.
Nielsen, P.
Title of paper General solutions for the initial run-up of a breaking tsunami front
Conference name International Symposium Disaster Reduction on Coasts
Conference location Melbourne, VIC, Australia
Conference dates 14-16 November 2005
Proceedings title International Symposium Disaster Reduction on Coasts
Place of Publication Melbourne, VIC, Australia
Publisher Monash University
Publication Year 2005
Sub-type Oral presentation
Start page 1
End page 8
Total pages 8
Collection year 2005
Language eng
Abstract/Summary An assessment of potential damage on coastlines due to tsunami requires prediction of the likely flow depths and impact forces on structures. Since tsunami have a long wavelength relative to the water depth, models that solve the non-linear shallow water equations (NLSWE) are appropriate. Carrier et al (2003) presented solutions for tsunami that do not break. However, where the leading front of the tsunami breaks, the wave front is more similar to a bore approaching the shoreline. An analytical treatment for the run-up driven by an incident bore was developed by Shen & Meyer (1963). However, the Shen & Meyer result is only unique close to the shoreline, and the flow depths and velocities depend on the seaward boundary condition. Here, a new numerical model is presented that solves the NLSWE for the case of a broken tsunami front arriving at the shoreline. It is a simple model that allows specification of either the flow depths or velocities at the seaward boundary, and the solution method allows the effects of friction to be incorporated. The model is able to reproduce the Shen & Meyer analytical solution for the initial motion of the shoreline. The potential damage to coastal structures and other infrastructure may be assessed by calculation of impact and drag forces due to the predicted flow depths and velocities.
Subjects 291205 Ocean Engineering
290802 Water and Sanitary Engineering
290800 Civil Engineering
0905 Civil Engineering
Keyword Tsunami
Breaking tsunami waves
Tsunami run-up
Wave forces
Tidal waves
References [1] Carrier GF, Greenspan HP, "Water waves of finite amplitude on a sloping beach," Journal of Fluid Mechanics, 1958, 440 391-399. [2] Carrier GF, Wu TT, Yeh H, "Tsunami run-up and draw-down on a plane beach," Journal of Fluid Mechanics, 2003, 475 79-99. [3] Sato S, "Numerical simulation of 1993 southwest Hokkaido earthquake tsunami around Okushiri Island," J Waterway, Port, Coastal and Ocean Eng., 1996, 122 (5), 209-215. [4] Shen MC, Meyer RE, "Climb of a bore on a beach. Part 3. Runup," J. Fluid Mech., 1963, 16 113-125. [5] Peregrine DH, Williams SM, "Swash overtopping a truncated plane beach," J. Fluid Mech., 2001, 440 391-399. [6] Pritchard D, Hogg AJ, "On the transport of suspended sediment by a swash event on a plane beach," Coastal Engineering, 2005, 52 1-23. [7] Hibberd S, Peregrine DH, "Surf and run-up on a beach: a uniform bore," Journal of Fluid Mechanics, 1979, 95 (2), 323-345. [8] Baldock TE, Hughes MG, Day K, Louys J, "Swash overtopping and sediment overwash on a truncated beach," Coastal Engineering, 2005, 25 633-645.
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status UQ

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Created: Mon, 09 Jan 2006, 10:00:00 EST by Tom Baldock on behalf of School of Engineering