Open Access

ARTICLE

An Improved Technique to Generate RogueWaves in Random Sea

Jinghua Wang¹, S Yan¹, Q.W. Ma^1,2
1 School of Mathematics, Computer Sciences and Engineering, City University London, EC1V 0HB.
2 Corresponding author. E-mail: q.ma@city.ac.uk

Computer Modeling in Engineering & Sciences 2015, 106(4), 263-289. https://doi.org/10.3970/cmes.2015.106.263

Abstract

This paper presents an improved technique to generate rogue (freak) waves embedded in random sea based on the approach proposed by Kribel and Alsina (2000). In this method, a part of the wave energy is focused using the temporal-spatial focusing approach to generate an extreme transient wave and the rest behaves randomly. By introducing a correction term, the improved technique removes the numerical.ly spurious fluctuations of the spectra in the existing approach. Various effects of the correction are investigated numerically by using the second-order wave theory and two existing numerical. methods based on the fully nonlinear potential theory (FNPT), including the improved Spectral Boundary Integral (SBI) method and the Quasi Arbitrary Lagrangian- Eulerian Finite Element Method (QALE-FEM). The discussions are mainly focused on (1) the effectiveness of the correction on retaining the features of the specified wave spectrum; and (2) the effects of the correction on the probability of the maximum wave heights.

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Keywords

Rogue waves, random sea, 2^nd order wave theory, FNPT, improved SBI, QALE-FEM.

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