Extreme Resonant Waves

Author(s):  
Shamil U. Galiev
Keyword(s):  
Author(s):  
Richard Grillotti ◽  
Andy DiLallo ◽  
Angus G. Forbes
Keyword(s):  

2014 ◽  
Vol 763 ◽  
pp. 1-23 ◽  
Author(s):  
Z. Liu ◽  
D. L. Xu ◽  
J. Li ◽  
T. Peng ◽  
A. Alsaedi ◽  
...  

AbstractThis paper describes an experimental investigation of steady-state resonant waves. Several co-propagating short-crested wave trains are generated in a basin at the State Key Laboratory of Ocean Engineering (SKLOE) in Shanghai, and the wavefields are measured and analysed both along and normal to the direction of propagation. These steady-state resonant waves are first calculated theoretically under the exact resonance criterion with sufficiently high nonlinearity, and then are generated in the basin by means of the main wave components that contain at least 95 % of the wave energy. The steady-state wave spectra are quantitatively observed within the inherent system error of the basin and identified by means of a contrasting experiment. Both symmetrical and anti-symmetrical steady-state resonant waves are observed and the experimental and theoretical results show excellent agreement. These results offer the first experimental evidence of the existence of steady-state resonant waves with multiple solutions.


Author(s):  
S.N Timoshin ◽  
J.M Linkins

Model examples of linear wave systems are considered to illustrate the origin of feedback instability in situations involving strong transients. Two mechanisms of transient growth are addressed. The first is a spatial amplification of resonant waves propagating in the same direction. The second form of transient growth is purely temporal. It is found that under certain conditions, both forms of transients can trigger global instability in a non-homogeneous system.


1993 ◽  
Vol 47 (2) ◽  
pp. 239-243 ◽  
Author(s):  
S I Popel ◽  
S V Vladimirov ◽  
M Y Yu

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