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Runup of solitary waves on a circular Island

Published online by Cambridge University Press:  26 April 2006

Philip L. -F. Liu ,
Yong-Sik Cho ,
Michael J. Briggs ,
Utku Kanoglu  and
Costas Emmanuel Synolakis
Philip L. -F. Liu
Affiliation:
School of Civil and Environmental Engineering Cornell University, Ithaca. NY 14853, USA
Yong-Sik Cho
Affiliation:
School of Civil and Environmental Engineering Cornell University, Ithaca. NY 14853, USA
Michael J. Briggs
Affiliation:
Coastal Engineering Research Center, USAE Waterways Experiment Station, Vicksburg, MS 39180, USA
Utku Kanoglu
Affiliation:
Department of Civil Engineering, University of Southern California, Los Angeles, CA 90089-2531, USA
Costas Emmanuel Synolakis
Affiliation:
Department of Civil Engineering, University of Southern California, Los Angeles, CA 90089-2531, USA
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Abstract

This is a study of the interactions of solitary waves climbing up a circular island. A series of large-scale laboratory experiments with waves of different incident height-to-depth ratios and different crest lengths is described. Detailed two-dimensional run-up height measurements and time histories of surface elevations around the island are presented. A numerical model based on the two-dimensional shallow-water wave equations including runup calculations was developed. Numerical model predictions agreed very well with the laboratory data and the model was used to study wave trapping and the effect of slope. Under certain conditions, enhanced runup and wave trapping on the lee side of the island were observed, suggesting a possible explanation for the devastation reported by field surveys in Babi Island off Flores, Indonesia, and in Okushiri Island, Japan.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 302 , 10 November 1995 , pp. 259 - 285
Copyright
© 1995 Cambridge University Press

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References

Aida, I. 1977 Numerical Experiments for inundation of tsunamis, Susaki and Usa, in the Kochi Prefecture.. Bull. Earthg. Res. Inst. 52, 441–460 (in Japanese).Google Scholar
Arthur, R. S. 1946 refraction of waters waves by islands shoals with circular bottom contours. Trans. Am. Geophys. Union 27, 168–177.Google Scholar
Bascom, W. 1990 The crest of the wave-Adventures in Oceanography. Doubleday, New York.
Briggs, M. J., Synolakis, C. E. & Harkins, G. S. 1994 Tsunami run-up on a conical island. Proc. Of waves Physical and Numerical Modelling Vancouver, Canada.
Carrier, G. F. 1966 Gravity waves in water of variable depth. J. Fluid Mech. 24, 641–659.Google Scholar
Carrier, G. F. & Noiseux, C. F. 1983 The reflection of obliquely incident tsunamis. J. Fluid Mech. 133, 147–160.Google Scholar
Cho, Y. S. 1994 Numerical simulations of tsunami propagation and ru-up. PhD thesis, Cornell University.
Chow, V. T. 1959 Open-Channel Hydraulics pp. 680. McGraw-Hill Book Company.
Hibberd, S. & Peregrine, D. H. 1979 Surf and run-up on a beach: a uniform bore. J. Fluid Mech. 95, 323–345.Google Scholar
HOKKAIDO TSUNAMI SURVEY GROUP 1993 Tsunami devastates Japanese coastal region. EOS. Trans. AGU. 74(37): 417 and 432.
Houston, J. R. & Butler, H. L. 1979 A numerical model for tsunami inundation. WES Tech. Rep. HL-79-2.
Imamura, F., Synolakis, C. E., Gika, G. & Trrov, V. 1995 The Midoro Island tsunami of November 15, 1994. Pure Appl. Geophys. (in press).Google Scholar
Jonsson, I. G. & Skovgaard, O. 1979 A mild slope equation and its application to tsunami calculations. Marine Geodesy 2, 41–58.Google Scholar
Jonsson, I. G., Skovgaard, O. & Brink-Kjaer, O. 1976 Diffraction and refraction calculations for waves incident on island. J. Mar. Res. 34, 469–496.Google Scholar
Kajiura, K. 1963 The leading wave of a tsunami. Bull. Earthq. Res. Inst. 41, 535–571.Google Scholar
Kanoglu, U. 1995 The runup of long waves around piecewise linear bathymetries. PhD thesis, University of Southern California, Los Angeles, California.
Keller, J. B. 1958 A geometrical theory of diffraction. In Proc. Symposia in appl. Maths vol. 8; Calculus of Variations and its Applications (ed. L. M. Graves), pp. 27–52. Am. Math. Soc.
Keller, J. B. 1962 Geometric theory of diffraction. J. Optical Soc. Am. 52, 116–130.Google Scholar
Keller, J. B. & Ahluwalia, D. S. 1973 Uniform asymptotic solution of eigenvalue problems for convex plane domains. SIAM J. Appl. Maths 25, 583–591.Google Scholar
Lautenbacher, C. C. 1970 Gravity wave refraction by islands. J. Fluid Mech. 41, 655–672.Google Scholar
Liu, P. L. F. & Cho, Y. S., 1994 An integral equation model for wave Propagation with bottom frictions. J. Waterway. Port, Coastal, Ocean Engng, ASCE 120, 594–608.Google Scholar
Liu. P. L. F., Yoon, S. B., Seo, S. N. & Cho, Y. S. 1993 Numerical simulations of inundation at Hilo, Hawaii. TSUNAMI 93. Proc. IUGG/IOC Intl Tsunami Symp. pp. 257–269, Japan.
Pocinki, L. S. 1950 The application of conformal transformation to ocean wave refraction problems. Trans. Am. Geophys. Union 31, 856–860.Google Scholar
Provis, D. G. 1975 Propagation of waves near an island. PhD thesis, University of Essex.
Satake, K. Bourgeois, J., Abe, K., Tsuji, Y., Imamura, F., Iio, Y., Katao, H., Noguera, E. & Estrada, F. 1993 Tsunami field of the 1992 Nicaragua Earthquake. EOS, Trans. AGU, 74(13): 145, pp. 156–157.Google Scholar
SchÄFFER, H. A. & Jonsson, I. G. 1992 Edge waves revisited. Coastal Engng 16, 349–368.Google Scholar
Smith, R. & Sprinks, T. 1975 Scattering of surface waves by a conical islands. J. Fluid Mech.. 72.Google Scholar
Sprinks, T. & Smith, R. 1983 Scale effects in a wave-refraction experiments. J. Fluid Mech. 129, 455–471.Google Scholar
Synolakis, C. E. 1987 The runup of solitary waves. J. Fluid Mech. 185, 523–545.Google Scholar
Synolakis, C. E. 1990 Generation of long waves in the laboratory. J. Waterways, Port. Coastal, Ocean Engng ASCE 116, 252–266.Google Scholar
Synolakis, C. E., Imamura, F., Tinti, S., Tsuji, Y., Matsutgmi, H. Cook, B. & Usman M. 1995 The East Java tsunami of june 4, 1994. EOS Tans. AGU (in press).Google Scholar
Tadepalli, S. & Synolakis, C. E. 1994 The run of N-waves on sloping beaches. Proc. R. Soc. Lond. A 445, 99–112.Google Scholar
Takashaki, T., Imamura, F. & Shuto, N. 1993 Numerical simulation of topography change due to tsunamis. TSUNAMI 93. Proc. IUGG/IOC Intl Tsunami Symp. pp. 243–256, Japan.
Titov, V. & Synolakis, C. E. 1993 A numerical study of wave runup of the September 2, 1992 Nicaraguan tsunami TSUNAMI 93. Proc. IUGG/IOC Intl Tsunami Symp. pp. 627–636, Japan.
Yeh, H. H., Imamura, F. Synolakis, C. E., Tsuji, Y., Liu, P. L. F. & Shi, S.1993 the Flores Island tsunamis. EOS. Trans. AGU 74(33): 369, pp. 371–373.Google Scholar
Yeh, H. H., Liu, P. L. F., Briggs, M. J. & Synolakis, C. E. 1994 propagation and amplification of tsunami at coastal boundaries. Nature 372, 353–355.Google Scholar
Yeh, H., Trrov, V., Gusiakov, V., Pelinovsky, E., Kharmushin, V. & Kaistrenko, V. 1995 The 1994 Shikotan earthquake tsunamis. Pure Appl. Geophys. (in press).Google Scholar