Long wave runup on piecewise linear topographies

Journal of Fluid Mechanics

Volumn 374, Issue , 1998, Pages 1-28

  Kânoǧlu, Utku ^a,b   Synolakis, Costas Emmanuel ^a  

^a University of Southern California ^*  (United States)

^b Applied Sciences Laboratory Inc ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BATHYMETRY; MATHEMATICAL MODELS; PIECEWISE LINEAR TECHNIQUES;

LONG WAVE RUNUP; OCEAN TOPOGRAPHY;

WATER WAVES;

EID: 0032205494     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098002468     Document Type: Article

References (52)

1. ABE, K. & ISHIL, H. 1980 Propagation of tsunami on linear slope between two flat regions, Part 2 reflection and transmission. J. Phys. Earth 28, 543-552.
2. ABRAMOWITZ, M. & STEGUN, I. A. 1964 Handbook of Mathematical Functions. Dover.
3. BARTHOLOMEUZ, E. F. 1958 The reflection of long waves at a step. Proc. Camb. Phil. Soc. 54, 106-118.
4. BRIGGS, M. J., SYNOLAKIS, C. E., HARKINS, G. S. & GREEN, D. 1994 Laboratory experiments of tsunami runup on a circular island. PAGEOPH 144 (3/4), 569-593.
5. BROCCHINI, M. & PEREGRINE, D. H. 1996 Integral flow properties of swash zone and averaging. J. Fluid Mech. 317, 241-273.
6. CARRIER, G. F. 1966 Gravity waves on water of variable depth. J. Fluid Mech. 24, 641-659.
7. CARRIER, G. F. 1993 Tsunami propagation from a unite source. Proc. IUGG/IOC Intl Tsunami Symp. Wakayama, Japan, pp. 410-427. Japan. Society of Civil Engineers.
8. CARRIER, G. F. & NOISEUX, C. F. 1983 The reflection of obliquely incident tsunamis. J. Fluid Mech. 133, 147-160.
9. DEVILLARD, P., DUNLOP, F. & SOUILLARD, B. 1988 Localization of gravity waves on a channel with a random bottom. J. Fluid Mech. 186, 521-538.
10. FVANS, D. V. & LINTON, C. M. 1994 On step approximations for water wave problems. J. Fluid Mech. 278, 229-249.
11. GERRARD, A. & BURCH, J. M. 1987 Introduction to Matrix Methods in Optics. University Microfilms International (John Wiley & Sons).
12. GORING, D. G. 1978 Tsunamis the propagation of long waves onto a shelf. W. M. Keck Laboratory of Hydraulics and Water Resources, Division of Engineering and Applied Science, California Institute of Technology. Rep. KH-R 38.
13. GRILLI, S. 1996 Boundary integral equation methods used for long wave runup prediction models. Long Wave Runup Models (ed. H. H. Yeh et al.) pp. 116-180. World Scientific.
14. HAMILTON, J. 1977 Differential equations for long period gravity waves on fluid of rapidly varying depth. J. Fluid Mech. 83, 289-310.
15. HOMMA, S. 1950 On behaviour of seismic sea waves around the circular island. Geophys. Mag. 21, 199-208.
16. ISAACSON, M. Q. 1983 Solitary wave diffraction around large cylinder. J. Waterway, Port, Coastal Ocean Engng 109, 121-127.
17. KÂNOḠLU, U. 1996 The runup of long waves around piecewise linear bathymetries. PhD Thesis. University of Southern California, Los Angeles.
18. KELLER, J. B. & KELLER, H. B. 1964 Water wave run-up on a beach. ONR Research Rep. Contract NONR 3328(00). Dept. of the Navy, Washington, DC. 40 pp.
19. KOBAYASHI, N. & KARJADI, E. A. 1994 Surf similarity parameter for breaking solitary-wave runup. J. Waterway. Port. Coastal Ocean Engng ASCE 120, 56-73.
20. LAUTENBACHER, C. C. 1970 Gravity wave refraction by island. J. Fluid Mech. 41, 655-672.
21. LIU, P. L.-F., CHO, Y.-S., BRIGGS, M. J., KANOGLU, U. & SYNOLAKIS, C. E. 1995 Runup of solitary waves on a circular island. J. Fluid Mech. 320, 259-285.
22. LIU, P. L-F., SYNOLAKIS, C. E. & YEH, H. 1991 Report on the international workshop on long-wave run-up. J. Fluid Mech. 229, 675-688.
23. LONGUET-HIGGINS, M. S. 1967 On trapping of wave energy round islands. J. Fluid Mech. 29, 781-821.
24. MILES, J W. 1967 Surface-wave scattering matrix for a shelf. J. Fluid Mech. 28, 755-767.
25. NACHBIN, A. & PAPANICOLAOU, G. C. 1992 Water waves in shallow channels of rapidly varying depth. J. Fluid Mech. 241, 311-332.
26. NEU, W. L. & SHAW, R. P. 1981 Long wave scattering by linear segmented bottom topographies. Rep. 123. Dept. of Engng Sci SUNY at Buffalo, Buffalo, NY.
27. NEU, W. L. & SHAW, R. P. 1987 Tsunami filtering by ocean topography. Ocean Phys. and Engng 12, 1-23.
28. PROVIS, D. G. 1975 Propagation of water waves near an island. PhD Thesis, University of Essex.
29. SATAKE, K., BOURGEOIS, J., ABE, K., ABE, K., TSUJI, Y., IMAMURA, F., IO, Y., KATAO, H., NOGUERA, E. & ESTRADA, F. 1993 Tsunami field survey of the 1992 Nicarsua earthquake. EOS Trans. AGU 74(13), 145-156.
30. SHAW, R. P. 1974 Long waves on linear topographies. JTRE Internal Rep. 119. Joint Tsunami Research Effort, University of Hawaii, Honolulu, Hawaii.
31. SHAW, R. P. & NEU, W. L. 1988 Long wave trapping by axisymmetric topographies. In Natural and Man-made Hazards (ed. M. I. El-Sabh & T. S. Murty), pp. 227-238.
32. SHEN, M. C., MEYER, R. E. & KELLER, J. B. 1968 Spectra of water waves in channels and around island. Phys. Fluids 11, 2289-2304.
33. SHUTO, N. 1991 Numerical simulation of tsunamis. In Tsunami Hazard (ed. E. Bernard), pp. 171-191. Kluwer.
34. SMITH, R. & SPRINKS, T. 1975 Scattering of surface waves by a conical island. J. Fluid Mech. 72, 373-384.
35. SPRINKS, T. & SMITH, R. 1983 Scale effects in a wave refraction experiment. J. Fluid Mech. 129, 455-471.
36. SYNOLAKIS, C. E. 1986 The runup of long waves. PhD Thesis, California Institute of Technology, Pasadena.
37. SYNOLAKIS, C. E. 1987 The runup of solitary waves. J. Fluid Mech. 185, 523-545.
38. SYNOLAKIS, C. E., LIU, P. L. F., CARRIER, G. & YEH, H. 1997 Tsunamigenic Sea floor Deformations. Science 278, 598-599.
39. SYNOLAKIS, C. E. IMAMURA, F., TSUJI, Y., MATSUTOMI, S., TINIT, B., COOK, B. & USHMAN, M. 1995 Damage, Conditions of east Java tsunami of 1994 analyzed. EOS Trans. AGU 76(26), 257 and 261-262.
40. TAKAHASHI, TO., TAKAHASHI, TA., SHUTO, N. IMAMURA, F. & ORTIZ, M. 1995 Source models for the 1993 Hokkaido-Nansei-Oki earthquake tsunami. Pure Appl. Geophys. 144, 747-768.
41. TINTI, S. & VANNINI, C. 1994 Theoretical investigation on tsunamis induced by seismic faults near ocean islands. Marine Geodesy. 17, 193-212.
42. TITOV, V. V. 1997 Numerical modeling of long wave runup. PhD Thesis, University of Southern California, Los Angeles.
43. TITOV, V. V. & SYNOLAKIS, C. E. 1995 Modeling of breaking and nonbreaking long wave evolution and runup using VTCS 2. J. Harbors, Waterwavs, Port, Coastal Ocean Engng 121, 308-316.
44. TITOV, V. V. & SYNOLAKIS, C. E. 1997a Numerical modeling of 2-D and 3-D long wave runup using VTSC-2 and VTSC 3. In Long Wave Runup Models (ed. H. H. Yeh et al.), pp. 242-248. World Scientific.
45. TITOV, V. V. & SYNOLAKIS, C. E. 1997b Extreme inundation flows during the Hokkaido Nansei-Oki tsunami. Geophys. Res. Lett. 24, 1315-1318.
46. TOPLISS M. E., COOKER, M. J. & PEREGRINE, D. H. 1992 Pressure oscillations during wave impact on vertical walls. Proc. Twenty-Third Intl Coastal Engng Conf. (ed. B. L. Edge), Vol. 2, pp. 1639-1650. ASCE.
47. VASTANO, A. C. & REID, R. O. 1967 Tsunami response for island: Verification of a numerical procedure. J. Mar. Res. 25, 129-139.
48. WARD, D. 1995 Physical Model study of Revere Beach, Massachusetts. US Army Corps of Engineers, Waterways Experiment Station Technical Rep. CERC-95-2, March 1995.
49. WATSON G., BARNES, T. C. D. & PEREGRINE, D. H. 1997 Numerical runup modeling of solitary wave propagation and breaking on a beach and runup on a vertical wall. In Long Wave Runup Models (ed. H. H. Yeh et al.), pp. 291-298. World Scientific.
50. YEH, 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, 371-373.
51. YEH H., LIU, P. L.-F., BRIGGS M. J. & SYNOLAKIS, C. E. 1994 Tsunami Catastrophe in Babi Island. Nature 372, 6503.
52. YEH, H., LIU, P. L.-F. & SYNOLAKIS, C. E. (Eds.) 1997 Long Wave Runup Models. World Scientific.