Runup of tsunami waves in U-shaped bays

Pure and Applied Geophysics

Volumn 168, Issue 6-7, 2011, Pages 1239-1249

  Didenkulova, Ira ^a,b   Pelinovsky, Efim ^b  

^a TALLINN UNIVERSITY OF TECHNOLOGY   (Estonia)

^b INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

Author keywords

Abnormal amplification; Narrow bays; Shallow water theory; Tsunami wave runup

Indexed keywords

GEOLOGY; GEOPHYSICS;

NARROW BAYS; RIGOROUS SOLUTION; SHALLOW WATER THEORY; TRAVELING WAVE; TSUNAMI RUN UP; TSUNAMI WAVES; UNIFORM CURRENTS; WAVE SHOALING;

TSUNAMIS;

SHALLOW-WATER EQUATION; THEORETICAL STUDY; TSUNAMI; WATER DEPTH; WAVE PROPAGATION; WAVE REFLECTION; WAVE RUNUP;

EID: 79959805994     PISSN: 00334553     EISSN: 14209136     Source Type: Journal    
DOI: 10.1007/s00024-010-0232-8     Document Type: Article

References (41)

1. ANTUONO, M., and BROCCHINI, M. (2007), The boundary value problem for the nonlinear shallow water equations, Stud. Appl. Maths. 119, 71-91.
2. CAPUTO, J.-G., and STEPANYANTS, Yu.A. (2003), Bore formation, evolution and disintegration into solitons in shallow inhomogeneous channels, Nonlin. Processes Geophys. 10, 407-424.
3. CARRIER, G.F., and GREENSPAN, H.P. (1958), Water waves of finite amplitude on a sloping beach, J. Fluid Mech. 4, 97-109.
4. CARRIER, G.F., WU, T.T., and YEH, H. (2003), Tsunami run-up and draw-down on a plane beach, J. Fluid Mech. 475, 79-99.
5. CHOI, B.H., PELINOVSKY, E., KIM, D.C., DIDENKULOVA, I., and WOO, S.B. (2008), Two- and three-dimensional computation of solitary wave runup on non-plane beach, Nonlin. Processes Geophys. 15, 489-502.
6. CLEMENTS, D.L., and ROGERS, C. (1975), Analytic solution of the linearized shallow-water wave equations for certain continuous depth variations, J. Australian Math. Soc. B 19, 81-94.
7. DARTNELL, P., NORMARK, W.R., DRISCOLL, N.W., BABCOCK, J.M., GARDNER, J.V., KVITEK, R.G., and IAMPIETRO, P.J. (2007), Multibeam bathymetry and selected perspective views offshore San Diego, California. Scientific Investigations Map 2959, USGS.
8. DAS, K.P. (1985), A Korteweg-de Vries equation modified by viscosity for waves in a channel of uniform but arbitrary cross section, Phys. Fluids 28, 770-775.
9. DIDENKULOVA, I., and PELINOVSKY, E. (2009), Non-dispersive traveling waves in inclined shallow water channels. Phys. Lett. A. 373(42), 3883-3887.
10. DIDENKULOVA, I.I., ZAHIBO, N., KURKIN, A.A., LEVIN, B.V., PELINOVSKY, E.N., and SOOMERE, T. (2006), Runup of nonlinearly deformed waves on a coast, Doklady Earth Sci. 411, 1241-1243.
11. DIDENKULOVA, I., PELINOVSKY, E., and SOOMERE, T. (2008a), Run-up characteristics of tsunami waves of "unknown" shapes, Pure Appl. Geophys. 165, 2249-2264.
12. DIDENKULOVA, I., ZAHIBO, N., and PELINOVSKY, E. (2008b), Reflection of long waves from a "non-reflecting" bottom profile, Fluid dyn. 43(4), 590-595.
13. DIDENKULOVA, I., PELINOVSKY, E., and SOOMERE, T. (2009), Long surface wave dynamics along a convex bottom. J. Geophys. Res.Oceans 114, C07006.
14. DINGEMANS, M.W. (1997), Water wave propagation over uneven bottoms, World Sci., Singapore.
15. FENTON, J.D. (1973), Cnoidal waves and bores in uniform channels of arbitrary cross-section, J. Fluid Mech. 58, 417-434.
16. IOUALALEN, M., PELINOVSKY, E., ASAVANANT, J., LIPIKORN, R., and DESCHAMPS, A. (2007), On the weak impact of the 26 December Indian Ocean tsunami on the Bangladesh coast, Nat. Hazards Earth Syst. Sci. 7, 141-147.
17. Kânoǧlu, U. (2004), Nonlinear evolution and runuprundown of long waves over a sloping beach, J. Fluid Mech. 513, 363-372.
18. Kânoǧlu, U., and SYNOLAKIS, C. (2006), Initial value problem solution of nonlinear shallow water-wave equations, Phys. Rev. Lett. 97, 148-501.
19. LI, Y. (2000), Tsunamis: Non-breaking and breaking solitary wave run-up, PhD Thesis, California Institute of Technology.
20. LI, Y., and RAICHLEN, F. (2001), Solitary wave runup on plane slopes. J.W.P.C.O.E. 127(1), 33-44.
21. MATHEW, J., and AKYLAS, T.R. (1990), On three-dimensional long water waves in a channel with sloping sidewalls, J. Fluid Mech. 215, 289-307.
22. MAZOVA, R.Kh., PELINOVSKY, E.N., and SOLOVYEV, S.L. (1983), Statistical data on the tsunami runup onto shore, Oceanology 23(6), 698-702.
23. MEI, C.C., STIASSNIE, M., and YUE, D.K.-P. (2005), Theory and applications of ocean surface waves, World Sci., Singapore.
24. MILES, J.W. (1979), On the Korteweg-de Vries equation for a gradually varied channel, J. Fluid Mech. 91, 181-190.
25. NESJE, A., DAHL, S.O., VALEN, V., and OVSTEDAL, J. (1992), Quaternary erosion in the Sognefjord drainage basin, western Norway, Geomorphology 5, 511-520.
26. PEDERSEN, G., and GJEVIK, B. (1983), Run-up of solitary waves, J. Fluid Mech. 142, 283-299.
27. PELINOVSKY, E.N., and TROSHINA, E.N. (1994), Propagation of long waves in straits, Phys. Oceanogr. 5, 43-48.
28. PEREGRINE, D.H. (1968), Long waves in a uniform channel of arbitrary cross section, J. Fluid Mech. 32, 353-365.
29. PEREGRINE, D.H. (1969), Solitary waves in trapezoidal channels, J. Fluid Mech. 35, 1-6.
30. PRITCHARD, D., and DICKINSON, L. (2007), The near-shore behaviour of shallow-water waves with localized initial conditions, J. Fluid Mech. 591, 413-436.
31. SHEN, M.C., and ZHONG, X.G. (1981), Derivation of K-dV equations for water waves in a channel with variable cross section, J. Mech. 20, 789.
32. STOKER, J.J. (1957), Water waves, Interscience, Wiley, New York.
33. SYNOLAKIS, C.E. (1987), The runup of solitary waves, J. Fluid Mech. 185, 523-545.
34. TADEPALLI, S., and SYNOLAKIS, C.E. (1996), Model for the leading waves of tsunamis, Phys. Review Lett. 77, 2141-2144.
35. TENG, M.H., and WU, T.Y. (1992), Nonlinear water waves in channels of arbitrary shape, J. Fluid Mech. 242, 211-233.
36. TENG, M.H., and WU, T.Y. (1994), Evolution of long water waves in variable channels, J. Fluid Mech. 266, 303-317.
37. TENG, M.H., and WU, T.Y. (1997), Effects of channel cross-sectional geometry on long wave generation and propagation, Phys. Fluids 9, 3368-3377.
38. TINTI, S., and TONINI, R. (2005), Analytical evolution of tsunamis induced by near-shore earthquakes on a constant-slope ocean, J. Fluid Mech. 535, 33-64.
39. TSUJI, Y., YANUMA, T., MURATA, I., and FUJIWARA, C. (1991), Tsunami ascending in rivers as as undular bore, Nat. Hazards 4, 257-266.
40. WU, Y.H., and TIAN, J.-W. (2000), Mathematical analysis of longwave breaking on open channels with bottom friction, Ocean Eng. 26, 187-201.
41. ZAHIBO, N, PELINOVSKY, E, GOLINKO, V, and OSIPENKO, N. (2006), Tsunami wave runup on coasts of narrow bays, Int. J. Fluid Mech. Res. 33, 106-118.