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经典单色短峰水波理论的三阶完备解

黄虎 夏应波

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经典单色短峰水波理论的三阶完备解

黄虎, 夏应波

A complete third-order solution for classical monochromatic short-crested water waves

Huang Hu, Xia Ying-Bo
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  • 针对经典的有限水深三阶单色短峰波,考虑环境均匀流效应,赋予一新的解析解,从而与原经典解析解构成完备的解析解.这就在第二阶解、第三阶解结构上显示出多种相互作用机制.
    A new solution for classical monochromatic short-crested waves in finite water depth is presented by including the ambient uniform currents. With the aid of the original classical solution, we obtain a complete solution and show a variety of interaction mechanisms for the second-and third-order solution structures.
    • 基金项目: 全国优秀博士学位论文作者专项基金(批准号:200428)、上海市教育委员会科研创新基金(批准号:08YZ05) 和上海大学研究生创新基金资助的课题.
    [1]

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

    [2]

    [2]Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing, Berlin: Higher Education Press, Springer)

    [3]

    [3]Robert A J 1983 J. Fluid Mech. 135 301

    [4]

    [4]Ioualalen M, Okamura M, Cornier S, Kharif C, Roberts A J 2006 J. Waterway Port Coas. Ocean Eng. 132 157

    [5]

    [5]Fuhrman D R,Madsen P A 2006 J. Fluid Mech. 559 391

    [6]

    [6]Marchant T R, Robert A J 1987 J. Aust. Math. Soc. B 29 103

    [7]

    [7]Kimmoun O, Branger H, Kharif C 1999 Eur. J. Mech.B 18 889

    [8]

    [8]Huang H 2008 Chin. Sci. Bull. 53 3267

    [9]

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

    [10]

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

    [11]

    ]Huang H 2009 Acta Phys. Sin. 58 6761 (in Chinese) [黄虎 2009 物理学报 58 6761]

    [12]

    ]Alatancang, Hou G L 2008 Chin. Phys. B 17 2753

  • [1]

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

    [2]

    [2]Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing, Berlin: Higher Education Press, Springer)

    [3]

    [3]Robert A J 1983 J. Fluid Mech. 135 301

    [4]

    [4]Ioualalen M, Okamura M, Cornier S, Kharif C, Roberts A J 2006 J. Waterway Port Coas. Ocean Eng. 132 157

    [5]

    [5]Fuhrman D R,Madsen P A 2006 J. Fluid Mech. 559 391

    [6]

    [6]Marchant T R, Robert A J 1987 J. Aust. Math. Soc. B 29 103

    [7]

    [7]Kimmoun O, Branger H, Kharif C 1999 Eur. J. Mech.B 18 889

    [8]

    [8]Huang H 2008 Chin. Sci. Bull. 53 3267

    [9]

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

    [10]

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

    [11]

    ]Huang H 2009 Acta Phys. Sin. 58 6761 (in Chinese) [黄虎 2009 物理学报 58 6761]

    [12]

    ]Alatancang, Hou G L 2008 Chin. Phys. B 17 2753

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  • 被引次数: 0
出版历程
  • 收稿日期:  2009-09-06
  • 修回日期:  2009-10-10
  • 刊出日期:  2010-03-05

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