Conditional second-order short-crested water waves applied to extreme wave episodes

JØRGEN JUNCHER JENSEN

doi:10.1017/S0022112005006841

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A derivation of the mean second-order short-crested wave pattern and associated wave kinematics, conditional on a given magnitude of the wave crest, is presented. The analysis is based on the second-order Sharma and Dean finite-water wave theory. A comparison with a measured extreme wave profile, the Draupner New Year Wave, shows a good agreement in the mean, indicating that this second-order wave can be a good identifier of the shape and occurrence of extreme wave events. A discussion on its use as an initial condition for a fully nonlinear three-dimensional surface wave analysis is given.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Jensen, Jørgen Juncher and Capul, Julien 2006. Extreme response predictions for jack-up units in second order stochastic waves by FORM. Probabilistic Engineering Mechanics, Vol. 21, Issue. 4, p. 330.

Toffoli, A. Monbaliu, J. Onorato, M. Osborne, A. R. Babanin, A. V. and Bitner-Gregersen, E. 2007. Second-Order Theory and Setup in Surface Gravity Waves: A Comparison with Experimental Data. Journal of Physical Oceanography, Vol. 37, Issue. 11, p. 2726.

Jensen, J. Juncher 2008. Extreme value predictions and critical wave episodes for marine structures by FORM. Ships and Offshore Structures, Vol. 3, Issue. 4, p. 325.

Arena, Felice Ascanelli, Alfredo Nava, Vincenzo Pavone, Diego and Romolo, Alessandra 2008. Three-dimensional nonlinear random wave groups in intermediate water depth. Coastal Engineering, Vol. 55, Issue. 12, p. 1052.

FEDELE, FRANCESCO and TAYFUN, M. AZIZ 2009. On nonlinear wave groups and crest statistics. Journal of Fluid Mechanics, Vol. 620, Issue. , p. 221.

Adcock, T. A. A. and Taylor, P. H. 2009. Estimating ocean wave directional spreading from an Eulerian surface elevation time history. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 465, Issue. 2111, p. 3361.

Arena, Felice and Soares, C. Guedes 2009. Nonlinear High Wave Groups in Bimodal Sea States. Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol. 135, Issue. 3, p. 69.

Jensen, J. Juncher 2009. Stochastic procedures for extreme wave load predictions – Wave bending moment in ships. Marine Structures, Vol. 22, Issue. 2, p. 194.

Arena, Felice and Ascanelli, Alfredo 2010. Nonlinear Crest Height Distribution in Three-Dimensional Ocean Waves. Journal of Offshore Mechanics and Arctic Engineering, Vol. 132, Issue. 2,

Boccotti, Paolo Arena, Felice Fiamma, Vincenzo Romolo, Alessandra and Barbaro, Giuseppe 2011. Estimation of mean spectral directions in random seas. Ocean Engineering, Vol. 38, Issue. 2-3, p. 509.

Adcock, T. A. A. Taylor, P. H. Yan, S. Ma, Q. W. and Janssen, P. A. E. M. 2011. Did the Draupner wave occur in a crossing sea?. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 467, Issue. 2134, p. 3004.

Jensen, Jørgen Juncher 2011. Extreme value predictions using Monte Carlo simulations with artificially increased load spectrum. Probabilistic Engineering Mechanics, Vol. 26, Issue. 2, p. 399.

Petrova, Petya G. Arena, Felice and Guedes Soares, C. 2011. Space-time evolution of random wave groups with high waves based on the quasi-determinism theory. Ocean Engineering, Vol. 38, Issue. 14-15, p. 1640.

Kim, Taeseong and Natarajan, Anand 2013. Effect of Coupled Non linear Wave Kinematics and Soil Flexibility on the Design Loads of Offshore Wind Turbines.

Romolo, Alessandra and Arena, Felice 2013. Three-dimensional non-linear standing wave groups: Formal derivation and experimental verification. International Journal of Non-Linear Mechanics, Vol. 57, Issue. , p. 220.

Romolo, Alessandra Arena, Felice and Laface, Valentina 2014. A generalized approach to the mechanics of three-dimensional nonlinear ocean waves. Probabilistic Engineering Mechanics, Vol. 35, Issue. , p. 96.

Boccotti, Paolo 2015. Wave Mechanics and Wave Loads on Marine Structures. p. 115.

Cavaleri, Luigi Barbariol, Francesco Benetazzo, Alvise Bertotti, Luciana Bidlot, Jean‐Raymond Janssen, Peter and Wedi, Nils 2016. The Draupner wave: A fresh look and the emerging view. Journal of Geophysical Research: Oceans, Vol. 121, Issue. 8, p. 6061.

Seyffert, Harleigh C. Kim, Dae-Hyun and Troesch, Armin W. 2016. Rare wave groups. Ocean Engineering, Vol. 122, Issue. , p. 241.

Schløer, Signe Bredmose, Henrik and Ghadirian, Amin 2017. Analysis of experimental data: The average shape of extreme wave forces on monopile foundations and the NewForce model. Energy Procedia, Vol. 137, Issue. , p. 223.

Download full list

Article contents

Conditional second-order short-crested water waves applied to extreme wave episodes

Abstract

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests