Table of Contents
ISRN Civil Engineering
Volume 2011 (2011), Article ID 132769, 7 pages
Research Article

Modeling of on Shore Propagation of Random Water Waves

Faculty of Engineering, Cairo University, Giza 12613, Egypt

Received 14 July 2011; Accepted 17 August 2011

Academic Editor: M. K. Jha

Copyright © 2011 K. M. Fassieh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Two numerical models are investigated to model random water waves (RWWs) transformation due to mild depth variation. Modelling of steady on-shore propagation of small-amplitude RWWs is based on superposition principle of waves of different heights and directions. Each component is simulated through either the parabolic model (PM) or the elliptic model (EM). PM simulates weak refraction, diffraction, shoaling, and wave breaking. EM simulates strong refraction, diffraction, and shoaling. Both models neglect wave reflection. Comparison between PM and EM, in test cases that are experimentally measured, proved that both models give good results for unidirectional and narrow-directional RWW. However, EM is more accurate in modelling broad-directional RWWs.