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直立防波堤上部分反射的三阶双色双向水波理论

杨丽 黄虎

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直立防波堤上部分反射的三阶双色双向水波理论

杨丽, 黄虎

Third-order theory for bichromatic bidirectional water waves partially reflected from vertical breakwaters

Yang Li, Huang Hu
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  • 为充分克服以往直立防波堤上立波波浪力的内在局限性和刻画直立防波堤堤前的多色多向波,提出一种可包含经典二维长峰波解和三维单色单向短峰波解的部分反射的三阶双色双向水波理论,并从中推断出适用于高阶多色多向波系统的一项普适法则——偶数阶频率为零,奇数阶频率个数构成一等比数列.
    To overcome the internal limitation of standing wave forces on vertical breakwaters and describe multichromatic multidirectional water waves in front of the breakwaters, a third-order theory, including the classical solutions of two-dimensional long-crested waves and monochromatic unidirectional short-crested waves, for bichromatic bidirectional water waves partially reflected from the breakwaters is developed. A universal law applicable to a higher-order multichromatic multidirectional wave system is proposed, that is, the even-order frequencies are zero, the numbers of the odd-order frequencies constitute a geometric progression.
    • 基金项目: 全国优秀博士学位论文作者专项资金(批准号:200428)、上海市教委科研创新基金(批准号:08YZ05)、上海交通大学海洋工程国家重点实验室开放基金(批准号:0903)和上海大学研究生创新基金(批准号:SHUCX092330)资助的课题.
    [1]

    Hsu J R C, Tsuchiya Y, Silvester R 1979 J. Fluid Mech. 90 179

    [2]

    Fenton J D 1985 J. Waterway, Port, Coastal and Ocean Eng. 111 216

    [3]

    Roberts A J 1983 J. Fluid Mech. 135 301

    [4]

    Kimmoun O, Branger H, Kharif C 1999 Eur. J. Mech. B/Fluid 18 889

    [5]

    Ioualalen M , Okamura M , Cornier S , Kharif C, Roberts A J 2006 J. Waterway, Port, Coastal and Ocean Eng. 132 157

    [6]

    Madsen P A, Fuhrman D R 2006 J. Fluid Mech. 557 369

    [7]

    Huang H 2009 Acta Phys. Sin. 58 3655 (in Chinese) [黄 虎 2009 物理学报 58 3655]

    [8]

    Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing-Berlin: Higher Education Press-Springer)

    [9]

    Mei C C, Stiassnie M, Yue D K P 2005 Theory and Applications of Ocean Surface Waves (Singapore: World Scientific)

    [10]

    Liu Y 2009 Acta Phys. Sin. 58 7452 (in Chinese) [刘 煜 2009 物理学报 58 7452]

    [11]

    Tadjbakhsh I, Keller J B 1960 J. Fluid Mech. 8 442

    [12]

    Yang L 2009 (MS Thesis) (Shanghai: Shanghai University) (in Chinese) [杨 丽 2009 (硕士学位论文) (上海: 上海大学)]

    [13]

    Huang H, Yang L, Xia Y B 2010 Acta Phys. Sin. 59 2182(in Chinese) [黄 虎、 杨 丽、夏应波 2010 物理学报 592182]

    [14]

    Yang C N 1998 Chen Ning Yangs Collection (Shanghai: East China Normal University) (in Chinese) [杨振宁1998杨振宁文集(上海:华东师范大学出版社)]

  • [1]

    Hsu J R C, Tsuchiya Y, Silvester R 1979 J. Fluid Mech. 90 179

    [2]

    Fenton J D 1985 J. Waterway, Port, Coastal and Ocean Eng. 111 216

    [3]

    Roberts A J 1983 J. Fluid Mech. 135 301

    [4]

    Kimmoun O, Branger H, Kharif C 1999 Eur. J. Mech. B/Fluid 18 889

    [5]

    Ioualalen M , Okamura M , Cornier S , Kharif C, Roberts A J 2006 J. Waterway, Port, Coastal and Ocean Eng. 132 157

    [6]

    Madsen P A, Fuhrman D R 2006 J. Fluid Mech. 557 369

    [7]

    Huang H 2009 Acta Phys. Sin. 58 3655 (in Chinese) [黄 虎 2009 物理学报 58 3655]

    [8]

    Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing-Berlin: Higher Education Press-Springer)

    [9]

    Mei C C, Stiassnie M, Yue D K P 2005 Theory and Applications of Ocean Surface Waves (Singapore: World Scientific)

    [10]

    Liu Y 2009 Acta Phys. Sin. 58 7452 (in Chinese) [刘 煜 2009 物理学报 58 7452]

    [11]

    Tadjbakhsh I, Keller J B 1960 J. Fluid Mech. 8 442

    [12]

    Yang L 2009 (MS Thesis) (Shanghai: Shanghai University) (in Chinese) [杨 丽 2009 (硕士学位论文) (上海: 上海大学)]

    [13]

    Huang H, Yang L, Xia Y B 2010 Acta Phys. Sin. 59 2182(in Chinese) [黄 虎、 杨 丽、夏应波 2010 物理学报 592182]

    [14]

    Yang C N 1998 Chen Ning Yangs Collection (Shanghai: East China Normal University) (in Chinese) [杨振宁1998杨振宁文集(上海:华东师范大学出版社)]

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  • 文章访问数:  6781
  • PDF下载量:  679
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-12-05
  • 修回日期:  2010-04-09
  • 刊出日期:  2010-07-15

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