Venkatachalam Sriram, Ira Didenkulova, Stefan Schimmels, A. Sergeeva, Nils Goseberg


This paper discusses the possibility to study propagation, shoaling and run-up of these waves over a slope in a 300- meter long large wave flume (GWK), Hannover. For this purpose long bell-shaped solitary waves (elongated solitons) of different amplitude and the same period of 30 s are generated. Experimental data of long wave propagation in the flume are compared with numerical simulations performed within the fully nonlinear potential flow theory and KdV equations. Shoaling and run-up of waves on different mild slopes is studied hypothetically using nonlinear shallow water theory. Conclusions about the feasibility of using large scale experimental facility (GWK) to study tsunami wave propagation and run-up are made.


ong wave dynamics; elongated solitons; propagation; run-up; large-scale experimental facility; numerical simulation

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Didenkulova, I. 2009. New trends in the analytical theory of long sea wave runup, Applied Wave Mathematics: Selected Topics in Solids, Fluids, and Mathematical Methods, Springer, 265-296.

Didenkulova, I., E. Pelinovsky, and T. Soomere. 2008. Run-up characteristics of tsunami waves of “unknown” shapes, Pure and Applied Geophysics, 165 (11/12), 2249-2264.

Didenkulova, I., N. Zahibo, A. Kurkin, and E. Pelinovsky. 2006. Steepness and spectrum of a nonlinearly deformed wave on shallow waters, Izvestiya, Atmospheric and Oceanic Physics, 42 (6), 773-776.

Fornberg, B. 1996. A practical guide to pseudospectral methods, Cambridge University Press, New York, 244 p.

Goseberg, N., A. Wurpts, and T. Schlurmann. 2013. Laboratory-scale generation of tsunami and long wave, Coastal Engineering, 79, 57-74.

Madsen, P. A., D. R. Fuhrman, and H. A. Schaffer. 2008. On the solitary wave paradigm for tsunamis, J. Geophys. Res., 113, C12012.

Pelinovsky, E. Hydrodynamics of tsunami waves, IPF RAN, Gorky, 1996. [in Russian]

Schimmels, S., V.Sriram , I. Didenkulova, and H. Fernández. 2014. On the generation of tsunami in a

large scale wave flume, Proceeding ICCE 2014.

Shuto, N. 1985. The Nihonkai-chuubu earthquake tsunami on the north Akita coast, Coastal

Engineering Japan, JSCE 28, 255-264.

Sergeeva, A., E. Pelinovsky, and T. Talipova. 2011. Nonlinear random wave field in shallow water:

variable Korteweg-de Vries framework, Nat. Hazards Earth Syst. Sci., 11, 323-330.

Sriram, V. 2008. Finite Element Simulation of nonlinear free surface waves, Phd. Thesis, Department of Ocean Engineering, IIT Madras, India.

Sriram, V., Q.W. Ma., and T. Schlurmann. 2014. A hybrid method for modelling two dimensional non- breaking and breaking waves. Journal of computational physics, 272, 429-454.

Sriram, V., S.A. Sannasiraj, and V. Sundar. 2006. Numerical simulation of 2D nonlinear waves using Finite Element with Cubic Spline Approximation, Journal of Fluids and Structures, 22 (5), 663- 681.

Synolakis, C.E. 1987. The runup of solitary waves, J. Fluid Mech., 185, 523–545

Zahibo, N., I. Didenkulova, A. Kurkin, and E. Pelinovsky. 2008. Steepness and spectrum of nonlinear

deformed shallow water wave, Ocean Engineering, 35 (1), 47–52.

DOI: https://doi.org/10.9753/icce.v34.currents.20