Evolution of sidebands in deep-water bichromatic wave trains

References

• Baldock , T. E. , Huntley , D. A. , Bird , P. A. D. , O'Hare , T. O. and Bullock , G. N. 2000 . Breakpoint Generated Surf Beat Induced by Bichromatic Wave Groups . Coastal Engng , 39 : 213 – 242 .
   Web of Science ®Google Scholar
• Bowers , E. C. 1977 . Harbor Resonance due to Set-down BeneathWave Groups . J. Fluid Mech. , 79 : 71 – 92 .
   Web of Science ®Google Scholar
• Hsiao , S. C. , Lynett , P. , Hwung , H. H. and Liu , P. L. F. 2005 . Numerical Simulations of Nonlinear Short Waves Using a Multi-layer Model . J. Engng. Mech. , 131 ( 3 ) : 231 – 243 .
   Web of Science ®Google Scholar
• Hwung , H. H. , Chiang , W. S. , Liu , P. L. F. and Lynett , P. 2004 . “ Side-band Evolution of Initially Uniform Deep Water Wave ” . In Proceedings of the 29th ICCE 157 – 168 . Lisbon
   Google Scholar
• Hwung , H. H. and Chiang , W. S. 2005 . The Measurements on Wave Modulation and Breaking . Meas. Sci. Technol , 16 : 1921 – 1928 .
   Web of Science ®Google Scholar
• Kato , Y. and Oikawa , M. 1995 . Wave Number Downshift in Modulated Wavetrain through a Nonlinear Damping Effect . J. Phys. Soc. Jpn , 64 ( 12 ) : 4660 – 4669 .
   Google Scholar
• Lake , B. M. , Yuen , H. C. , Rungaldier , H. and Ferguson , W. E. 1977 . Nonlinear Deep-water Waves: Theory and Experiment. Part 2. Evolution of a Continuous Train . J. Fluid Mech , 83 ( part 1 ) : 49 – 74 .
   Web of Science ®Google Scholar
• Lo , E. and Mei , C. C. 1985 . A Numerical Study of Water-wave Modulation Based on a Higher-order Nonlinear Schrödinger Equation . J. Fluid Mech. , 150 : 395 – 416 .
   Web of Science ®Google Scholar
• Lynett , P. and Liu , P. L.-F. 2004 . “ A Multi-layer Approach to Wave Modeling ” . In Proc. R. Soc. Lond. A 460 2637 – 2669 .
   Google Scholar
• Madsen , P. A. , Bingham , H. B. and Liu , H. 2002 . A New Boussinesq Method for Fully Nonlinear Waves from Shallow to Deep Water . J. Fluid Mech. , 462 : 1 – 30 .
   Web of Science ®Google Scholar
• Melville , W. K. 1982 . The Instability and Breaking of Deep-WaterWaves . J. Fluid Mech , 115 : 165 – 185 .
   Web of Science ®Google Scholar
• Shemer , L. , Kit , E. , Jiao , H. and Eitan , O. 1998 . Experiments on Nonlinear Wave Groups in Intermediate Water Depth . J. Waterway Port Coastal Ocean Engng , 124 ( 6 ) : 320 – 327 .
   Web of Science ®Google Scholar
• Shemer , L. , Jiao , H. Y. , Kit , E. and Agnon , Y. 2001 . Evolution of a Nonlinear Wave Field Along a Tank: Experiments and Numerical Simulations Based on the Spatial Zakharov Equation . J. Fluid Mech. , 427 : 107 – 129 .
   Web of Science ®Google Scholar
• Stansberg , C. T. On Spectral Instabilities and Development of Non-linearities in Propagating Deep-water Wave Trains . the 23rd International Conference on Coastal Engineering Kobe . pp. 658 – 671 .
   Google Scholar
• Symond , G. , Huntley , D. A. and Bowen , A. J. 1982 . Two Dimensional Surf Beat: Long Wave Generation by a Time Varying Breakpoint . J. Geophys. Res. , 87 : 492 – 498 .
   Web of Science ®Google Scholar
• Trulsen , K. and Stansberg , C. T. Spatial Evolution of Water Surface Waves: Numerical Simulation and Experiment of Bichromatic Waves . Proceedings of 11th ISOPE . pp. 71 – 77 .
   Google Scholar
• Tulin , M. P. and Waseda , T. 1999 . Laboratory Observations of Wave Group Evolution, Including Breaking Effects . J. Fluid Mech. , 378 : 197 – 232 .
   Web of Science ®Google Scholar
• Wei , G. and Kirby , J. T. 1995 . ATime-dependent Numerical Code for Extended Boussinesq Equations . J.Waterway Port Coastal Ocean Engng. , 120 : 251 – 261 .
   Web of Science ®Google Scholar
• Wei , G. , Kirby , J. T. , Grilli , S. T. and Sinha , A. 1999 . Generation of Waves in Boussinesq Models Using a Source Function Method . Coastal Engng. , 36 : 271 – 299 .
   Web of Science ®Google Scholar
• Westhuis , J. , van Groesen , E. and Huijsmans , R. 2001 . Experiments and Numerics of Bichromatic Wave Groups . J. Waterway Port Coastal Ocean Engng. , 127 ( 6 ) : 334 – 342 .
   Web of Science ®Google Scholar
• Wu , J. K. and Liu , P. L.-F. 1990 . Harbor Excitations by IncidentWave Groups . J. Fluid Mech. , 217 : 595 – 613 .
   Web of Science ®Google Scholar
• Zakharov , V. E. 1968 . Stability of Periodic Waves of Finite Amplitude on the Surface of a Deep Fluid . J. Appl. Mech. Tech. Phys. , 2 : 190 – 194 . Engl. Trans
   Google Scholar