World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

Modeling Extreme Wave Heights from Laboratory Experiments with the Nonlinear Schrödinger Equation : Volume 14, Issue 4 (24/04/2014)

By Zhang, H. D.

Click here to view

Book Id: WPLBN0004018613
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: Modeling Extreme Wave Heights from Laboratory Experiments with the Nonlinear Schrödinger Equation : Volume 14, Issue 4 (24/04/2014)  
Author: Zhang, H. D.
Volume: Vol. 14, Issue 4
Language: English
Subject: Science, Natural, Hazards
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Zhang, H. D., Cherneva, Z., Soares, C. G., & Onorato, M. (2014). Modeling Extreme Wave Heights from Laboratory Experiments with the Nonlinear Schrödinger Equation : Volume 14, Issue 4 (24/04/2014). Retrieved from

Description: Centre for Marine Technology and Engineering (CENTEC), Instituto Superior Técnico, Technical University of Lisbon, Lisbon, Portugal. Spatial variation of nonlinear wave groups with different initial envelope shapes is theoretically studied first, confirming that the simplest nonlinear theoretical model is capable of describing the evolution of propagating wave packets in deep water. Moreover, three groups of laboratory experiments run in the wave basin of CEHIPAR (Canal de Experiencias Hidrodinámicas de El Pardo, known also as El Pardo Model Basin) was founded in 1928 by the Spanish Navy. are systematically compared with the numerical simulations of the nonlinear Schrödinger equation. Although a little overestimation is detected, especially in the set of experiments characterized by higher initial wave steepness, the numerical simulation still displays a high degree of agreement with the laboratory experiments. Therefore, the nonlinear Schrödinger equation catches the essential characteristics of the extreme waves and provides an important physical insight into their generation. The modulation instability, resulting from the quasi-resonant four-wave interaction in a unidirectional sea state, can be indicated by the coefficient of kurtosis, which shows an appreciable correlation with the extreme wave height and hence is used in the modified Edgeworth–Rayleigh distribution. Finally, some statistical properties on the maximum wave heights in different sea states have been related with the initial Benjamin–Feir index.

Modeling extreme wave heights from laboratory experiments with the nonlinear Schrödinger equation

Alber, I., and Saffman, P.: Stability of random nonlinear deep-water waves with finite bandwidth spectra, Tech. Rep. 31326-6035-RU-00, TRW Defense and Space System Group, 1978.; Benjamin, T. B., and Feir, J. E.: The disintegration of wave trains on deep water. Part 1. Theory, J. Fluid Mech., 27, 417–430, 1967.; Bitner (Bitner-Gregersen after marriage), E. M.: Nonlinear effects of the statistical model of shallow-water wind waves, Appl. Ocean Res., 2, 63–73, 1980.; Bitner-Gregersen, E. M., and Toffoli, A.: On the probability of occurrence of rogue waves, Nat. Hazards Earth Syst. Sci., 12, 751–762, 2012.; Caponi, E. A., Saffman, P. G., and Yuen, H. C.: Instability and confined chaos in a nonlinear dispersive wave system, Phys. Fluids, 25, 2159–2166, 1982.; Cherneva, Z., Tayfun, M. A., and Guedes Soares, C.: Statistics of nonlinear waves generated in an offshore wave basin, J. Geophys. Res., 114, C08005, doi:10.1029/2009JC005332, 2009.; Cherneva, Z., Guedes Soares, C., and Petrova, P.: Distribution of wave height maxima in storm sea states, J. Offshore Mech. Arct. Eng., 133, 041601-1, 2011.; Cherneva, Z., Tayfun, M. A., and Guedes Soares, C.: Statistics of waves with different steepness simulated in a wave basin, Ocean Eng., 60, 186–192, 2013.; Davey, A.: The propagation of a weak nonlinear wave, J. Fluid Mech., 53, 769–781, 1972.; Fedele, F., Cherneva, Z., Tayfun, M. A., and Guedes Soares, C.: Nonlinear Schrödinger invariants and wave statistics, Phys. Fluids, 22, 036601, doi:10.1063/1.3325585, 2010.; Fonseca, N., Pascoal, R., Guedes Soares, C., Clauss, G. F., and Schmittner, C. E.: Numerical and experimental analysis of extreme wave induced vertical bending moments on a FPSO, Appl. Ocean Res., 32, 374–390, 2010.; Gramstad, O. and Trulsen, K.: Influence of crest and group length on the occurrence of freak waves, J. Fluid Mech., 582, 463–472, 2007.; Guedes Soares, C.: Probabilistic models of waves in the coastal zone, Advances in Coastal Modeling, edited by: Lakhan, C., Elsevier Science B, 6, 159–187, 2003. Guedes Soares, C., Cherneva, Z., and Antão, E.: Characteristics of abnormal waves in North Sea storm sea states, Appl. Ocean Res., 25, 337–344, 2003.; Guedes Soares, C., Cherneva, Z., and Antão, E.: Abnormal waves during the hurricane Camille, J. Geophys. Res., 109, C08008, doi:10.1029/2003JC002244, 2004a.; Guedes Soares, C., Cherneva, Z., and Antao, E. Steepness, and Asymmetry of the Largest Waves in Storm Sea States, Ocean Engineering., 31, 1147–1167, 2004b.; Guedes Soares, C., Fonseca, N., and Pascoal, R.: Abnormal Wave Induced Load Effects in Ship Structures, J. Ship Res., 52, 30–44, 2008.; Hagen, Ø.: Statistics for the Draupner January 1995 freak wave event, In: Proceedings of the 21st International Conference on Offshore Mechanics and Arctic Engineering (OMAE'03), ASME Paper OMAE2002-28608, 2002.; Hasimoto, H. and Ono, H.: Nonlinear modulation of gravity waves, J. Phys. Soc. Jpn., 33, 805–811, 1972.; Hasselmann, K.: On the non-linear energy transfer in a gravity-wave spectrum, Part 1 – general theory, J. Fluid Mech., 12, 481–500, 1962.; Janssen, P. A. E. M.: Nonlinear four-wave interactions and freak waves, J. Phys. Oceanogr., 33, 863–884, 2003.; Lake, B. M., Yuen, H. C., Rungaldier, H., and Ferguson, W. E.: Nonlinear deep-water waves: theory and experiment, Part 2 – evolution of a continuous wave train, J. Fluid Mech., 83, 49–74, 1977.; Liu, J., Krogstad, H. E., Trulsen, K. Dysthe, K., and Socquet-Juglard, H.: The statistical distribution of a nonlinear ocean surface, Int. J. Offshore and Polar Eng., 15, 168–174, 2005.; Longuet-Higgins, M.: On the statistical distribution of the heights of sea waves, J. Marine Res., 11, 245–266, 1952.; Longuet-Higgins, M.: The effect of non-linearities on statistical distribution in the theory of sea wa


Click To View

Additional Books

  • Impact of Heat and Drought Stress on Ara... (by )
  • Unfolding the Procedure of Characterizin... (by )
  • Validation of Landslide Hazard Assessmen... (by )
  • A Comparative Assessment of Two Differen... (by )
  • Information System on Hydrological and G... (by )
  • Shallow and Deep Landslides Induced by R... (by )
  • Categorizing Natural Disaster Damage Ass... (by )
  • Landslide Susceptibility Assessment in t... (by )
  • Towards Predictive Data-driven Simulatio... (by )
  • Phenomena of Electrostatic Perturbations... (by )
  • Stability of a Power Law Relation Betwee... (by )
  • Effects of Relative Density and Accumula... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.