Run-up amplification of transient long waves - Archive ouverte HAL Access content directly
Journal Articles Quarterly of Applied Mathematics Year : 2015

Run-up amplification of transient long waves


The extreme characteristics of long wave run-up are studied in this paper. First we give a brief overview of the existing theory which is mainly based on the hodograph transformation (Carrier & Greenspan, 1958). Then, using numerical simulations, we build on the work of Stefanakis et al. (2011) for an infinite sloping beach and we find that resonant run-up amplification of monochromatic waves is robust to spectral perturbations of the incoming wave and resonant regimes do exist for certain values of the frequency. In the setting of a finite beach attached to a constant depth region, resonance can only be observed when the incoming wavelength is larger than the distance from the undisturbed shoreline to the seaward boundary. Wavefront steepness is also found to play a role in wave run-up, with steeper waves reaching higher run-up values.
Fichier principal
Vignette du fichier
TS_SX_DD_FD-2013.pdf (603.99 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00768597 , version 1 (22-12-2012)
hal-00768597 , version 2 (06-03-2013)
hal-00768597 , version 3 (18-05-2013)



Themistoklis Stefanakis, Shanshan Xu, Denys Dutykh, Frédéric Dias. Run-up amplification of transient long waves. Quarterly of Applied Mathematics, 2015, 73, pp.177-199. ⟨10.1090/S0033-569X-2015-01377-0⟩. ⟨hal-00768597v3⟩
487 View
487 Download



Gmail Facebook Twitter LinkedIn More