Modulation instability (MI) is one possible mechanism to explain the formation of extreme waves in uni-directional and narrow-banded seas. It can be triggered, when side-bands around the main frequency are excited and subsequently follow an exponential growth. In physical domain this dynamics translates to periodic pulsations of wave groups that can reach heights up to three times the initial amplitude of the wave train. It is well-known that these periodic wave groups propagate with approximately half the waves phase speed in deep-water. We report an experimental study on modulationally unstable wave groups that propagate with a velocity that is higher than the group velocity since the modulation frequency is complex. It is shown that when this additional velocity to the wave groups is small a good agreement with exact nonlinear Schrödinger (NLS) models, that describe the nonlinear stage of MI, is reached. Otherwise a significant deviation is observed that could be compensated when increasing accuracy of the water wave modeling beyond NLS.
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ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering
June 17–22, 2018
Madrid, Spain
Conference Sponsors:
- Ocean, Offshore and Arctic Engineering Division
ISBN:
978-0-7918-5122-7
PROCEEDINGS PAPER
Drifting Rogue Packets
Amin Chabchoub,
Amin Chabchoub
University of Sydney, Sydney, Australia
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Norbert Hoffmann,
Norbert Hoffmann
Hamburg University of Technology, Hamburg, Germany
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Nail Akhmediev,
Nail Akhmediev
Australian National University, Canberra, Australia
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Takuji Waseda
Takuji Waseda
University of Tokyo, Kashiwa, Japan
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Amin Chabchoub
University of Sydney, Sydney, Australia
Norbert Hoffmann
Hamburg University of Technology, Hamburg, Germany
Nail Akhmediev
Australian National University, Canberra, Australia
Takuji Waseda
University of Tokyo, Kashiwa, Japan
Paper No:
OMAE2018-77904, V003T02A006; 6 pages
Published Online:
September 25, 2018
Citation
Chabchoub, A, Hoffmann, N, Akhmediev, N, & Waseda, T. "Drifting Rogue Packets." Proceedings of the ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. Volume 3: Structures, Safety, and Reliability. Madrid, Spain. June 17–22, 2018. V003T02A006. ASME. https://doi.org/10.1115/OMAE2018-77904
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