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Considering ambient uniform currents, a third-order analytic solution for short-crested waves arising from a general partial reflection from a vertical breakwater is presented, thus reaching a universal law: frequency-doubling route to short-crested waves.
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Keywords:
- third-order short-crested waves /
- frequency-doubling /
- partial reflection /
- uniform currents
[1] ［1］Hao B L 1993 An Introduction to Chaotic Dynamics (Shanghai: Shanghai Scientific and Technological Education Publishing House) (in Chinese)［郝柏林 1993 从抛物线谈起 ——混沌动力学引论（上海：上海科技教育出版社）］
[2] ［2］Devaney R L 1989 An Introduction to Chaotic Dynamical Systems (California: Addison-Wesley Publishing Company)
[3] ［3］Li B, Wang J 2009 Chin. Phys. B 18 2109
[4] ［4］Ruban V P 2007 Phys. Rev. Lett. 99 044502
[5] ［5］Hsu J R C, Tsuchiya Y, Silvester R 1979 J. Fluid Mech. 90 179
[6] ［6］Madsen P A, Fuhrman D R 2006 J. Fluid Mech. 557 369
[7] ［7］Jian Y J, Zhan J M, Zhu Q Y 2008 Eu. J. Mech. B 27 346
[8] ［8］Huang H 2008 Chin. Scie. Bull. 53 3267
[9] ［9］Huang H 2009 Acta Phys. Sin. 58 3655 (in Chinese) ［黄虎2009 58 3655］
[10] ］Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing-Berlin: Higher Education Press-Springer)
[11] ］Fuhrman D R，Madsen P A 2006 J. Fluid Mech. 559 391
[12] ］Ioualalen M, Okamura M, Cornier S, Kharif C, Roberts A J 2006 J. Waterway Port Coast. Ocean Engng. 132 157
[13] ］Kimmoun O, Branger H, Kharif C 1999 Eur. J. Mech. B 18 889
[14] ］Hammack J L, Henderson D M, Segur H 2005 J. Fluid Mech. 532 1
[15] ］Peregrine D H 1976 Adv. Appl. Mech. 16 9
[16] ］Smith J A 2006 J. Phys. Oceanogr. 36 1403
[17] ］Tadjbakhsh I，Keller J B 1960 J. Fluid Mech.8 442
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[1] ［1］Hao B L 1993 An Introduction to Chaotic Dynamics (Shanghai: Shanghai Scientific and Technological Education Publishing House) (in Chinese)［郝柏林 1993 从抛物线谈起 ——混沌动力学引论（上海：上海科技教育出版社）］
[2] ［2］Devaney R L 1989 An Introduction to Chaotic Dynamical Systems (California: Addison-Wesley Publishing Company)
[3] ［3］Li B, Wang J 2009 Chin. Phys. B 18 2109
[4] ［4］Ruban V P 2007 Phys. Rev. Lett. 99 044502
[5] ［5］Hsu J R C, Tsuchiya Y, Silvester R 1979 J. Fluid Mech. 90 179
[6] ［6］Madsen P A, Fuhrman D R 2006 J. Fluid Mech. 557 369
[7] ［7］Jian Y J, Zhan J M, Zhu Q Y 2008 Eu. J. Mech. B 27 346
[8] ［8］Huang H 2008 Chin. Scie. Bull. 53 3267
[9] ［9］Huang H 2009 Acta Phys. Sin. 58 3655 (in Chinese) ［黄虎2009 58 3655］
[10] ］Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing-Berlin: Higher Education Press-Springer)
[11] ］Fuhrman D R，Madsen P A 2006 J. Fluid Mech. 559 391
[12] ］Ioualalen M, Okamura M, Cornier S, Kharif C, Roberts A J 2006 J. Waterway Port Coast. Ocean Engng. 132 157
[13] ］Kimmoun O, Branger H, Kharif C 1999 Eur. J. Mech. B 18 889
[14] ］Hammack J L, Henderson D M, Segur H 2005 J. Fluid Mech. 532 1
[15] ］Peregrine D H 1976 Adv. Appl. Mech. 16 9
[16] ］Smith J A 2006 J. Phys. Oceanogr. 36 1403
[17] ］Tadjbakhsh I，Keller J B 1960 J. Fluid Mech.8 442
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