Freak Waves Generated by Modulation Instability Under Different Initial Conditions

DOI

10.2991/aece-16.2017.113How to use a DOI?

Keywords

freak wave; non-MUC; evolution; spectrum parameter; waveform; nonlinearity

Abstract

Modulation Instability, also called B-F Instability, is widely recognized as the key reason of nonlinear Freak Wave generation. However, the majority of current researches concentrated only on the Most Unstable Condition (MUC for short). In this paper, systematic study covering various occurrence conditions of Modulation Instability has been investigated to discuss the wave train evolution characteristics corresponding to different initial sideband conditions. The results show that under non-MUC, though sidebands grow more slowly and generation of Freak Wave takes longer time, the maximum wave amplitudes tend to increase linearly as the initial ratio of relative spectrum width to wave steepness decreasing. It indicates that compared with the MUC, wave trains corresponding to narrower initial spectrum could produce stronger Freak Waves, also the evolution and characteristic parameters of which demonstrate stronger nonlinearity under non-MUC.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Jian DING
AU  - Keren QI
AU  - Di WU
AU  - Yayi LIU
AU  - Junwei SU
PY  - 2016/12
DA  - 2016/12
TI  - Freak Waves Generated by Modulation Instability Under Different Initial Conditions
BT  - Proceedings of the 2016 International Conference on Architectural Engineering and Civil Engineering
PB  - Atlantis Press
SP  - 521
EP  - 526
SN  - 2352-5401
UR  - https://doi.org/10.2991/aece-16.2017.113
DO  - 10.2991/aece-16.2017.113
ID  - DING2016/12
ER  -