Articles | Volume 19, issue 12
Research article
20 Dec 2019
Research article |  | 20 Dec 2019

Nonlinear deformation and run-up of single tsunami waves of positive polarity: numerical simulations and analytical predictions

Ahmed A. Abdalazeez, Ira Didenkulova, and Denys Dutykh

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Cited articles

Abdalazeez, A. A., Didenkulova, I., and Dutykh, D.: Data_Nonlinear deformation and run-up of single tsunami waves of positive polarity numerical simulations and analytical,, 2019. 
Brocchini, M. and Gentile, R.: Modelling the run-up of significant wave groups, Cont. Shelf Res., 21, 1533–1550,, 2001. 
Carrier, G. F. and Greenspan, H. P.: Water waves of finite amplitude on a sloping beach, J. Fluid Mech., 4, 97–109,, 1958. 
Carrier, G. F., Wu, T. T., and Yeh, H.: Tsunami run-up and draw-down on a plane beach, J. Fluid Mech., 475, 79–99,, 2003. 
Didenkulova, I.: New trends in the analytical theory of long sea wave runup, in: Applied Wave Mathematics, edited by: Quak, E. and Soomere, T., Springer, Berlin, Heidelberg, Germany, 265–296,, 2009. 
Short summary
This work is based on the authors' idea that asymmetry of a tsunami wave gained during its propagation in the ocean should also influence its run-up height on the slope. This was previously analytically shown by the authors for sinusoidal waves. In the paper, this idea is elaborated for single waves using both semi-analytical and numerical methods. The corresponding formula for the maximum run-up height which takes into account the wave front steepness is proposed.
Final-revised paper