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应用非线性薛定谔方程模拟深海内波的传播

宋诗艳 王晶 王建步 宋莎莎 孟俊敏

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应用非线性薛定谔方程模拟深海内波的传播

宋诗艳, 王晶, 王建步, 宋莎莎, 孟俊敏

Numerical simulation of internal waves propagation in deep sea by nonlinear Schr?dinger equation

Song Sha-Sha, Meng Jun-Min, Song Shi-Yan, Wang Jing, Wang Jian-Bu
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  • 本文选取东沙岛以东深海区域,应用描述深海内波的非线性薛定谔方程,采用啁啾的思想,研究了频散和非线性效应之间的关系,模拟了深海内波的传播.数值模拟内波演变趋势与MODIS影像拍摄到的内波演变趋势基本符合,从而验证了应用非线性薛定谔方程模拟深海弱非线性内波传播的合理性.
    The deep-sea area east of Dongsha Island is chosen as the research area. The relationship between dispersion and nonlinearity is studied using nonlinear Schrödinger equation which describes deep-sea internal waves in conjuction with the idea of chirps, then the propagation of internal waves in deep sea is simulated. The numerical simulation results are found to be in good agreement with the internal wave MODIS images, which validates the rationality of simulating internal wave propagation in deep sea using nonlinear Schrödinger equation.
    • 基金项目: 国家自然科学基金(批准号:60702077)和国家海洋局第一海洋研究所"基本科研业务费专项资金"(批准号:GY02-2008G42)资助的课题.
    [1]

    Benjamin T B 1967 J. Fluid Mech. 29 559

    [2]

    Ono H 1975 J. Phys. Soc. Japan 39 1082

    [3]

    Kubota T, Ko D R S, Dobbs L D 1978 AIAA J. Hydrodyn. 12 157

    [4]

    Choi W,Camassa R 1999 J. Fluid Mech. 396 1

    [5]

    Song S Y, Wang J, Meng J M, Wang J B, Hu P X 2010 Acta Phys. Sin. 59 1130(in chinese)[宋诗艳、王 晶、孟俊敏、王建步、扈培信 2010 物理学报 59 1130]

    [6]

    Wang J,Wang Z L 2004 Chin. Phys. 13 877

    [7]

    Wang J, Shi Y M 2006 Acta Phys. Sin. 55 2820 (in Chinese) [王 晶、时延梅 2006 物理学报 55 2820]

    [8]

    Tan Z W, Ning T G, Liu Y,Chen Y, Cao J H, Dong X W, Ma L N, Jian S S 2006 Acta Phys. Sin. 55 2799 (in Chinese) [谭中伟、宁提纲、刘 艳、陈 勇、曹继红、董小伟、马丽娜、简水生 2006 物理学报 55 2799]

    [9]

    Zeng S G, Zhang B 2009 Acta Phys. Sin. 58 2476 (in Chinese)[曾曙光、张 彬 2009 物理学报 58 2476]

    [10]

    Yang J S 2005 The technique of ocean wind-field and ocean wave and internal waves remote sensing of synthetic aperture radar (Qingdao:Ocean Press) p75(in Chinese)[杨劲松 2005合成孔径雷达海面风场、海浪和内波遥感技术(青岛:海洋出版社) 第75页]

    [11]

    Song J B 2006 Chin. Phys. 15 2796

    [12]

    Yang H L, Song J B, Yang L G, Liu Y J 2007 Chin. Phys. 16 3589

    [13]

    Shi M C, Gao G P, Bao X W 2000 Ocean survey methods(Qingdao: Ocean University of Qingdao Press) p265 (in Chinese)[侍茂崇、高郭平、鲍献文 2000 海洋调查方法(青岛:青岛海洋大学出版社) 第265页]

    [14]

    Sun X P 2006 The ocean in offshore China(Beijing:Ocean press) p201(in Chinese) [孙湘平 中国近海区域海洋(北京:海洋出版社) 第201页]

    [15]

    Fang X H, Du T 2005 Fundamentals of Oceanic Internal Waves and Internal Waves in the China Seas (Qingdao: Ocean University of China Press) p178 (in Chinese) [方欣华、杜涛 2005 海洋内波基础和中国海内波 (青岛:中国海洋大学出版社) 第178页]

  • [1]

    Benjamin T B 1967 J. Fluid Mech. 29 559

    [2]

    Ono H 1975 J. Phys. Soc. Japan 39 1082

    [3]

    Kubota T, Ko D R S, Dobbs L D 1978 AIAA J. Hydrodyn. 12 157

    [4]

    Choi W,Camassa R 1999 J. Fluid Mech. 396 1

    [5]

    Song S Y, Wang J, Meng J M, Wang J B, Hu P X 2010 Acta Phys. Sin. 59 1130(in chinese)[宋诗艳、王 晶、孟俊敏、王建步、扈培信 2010 物理学报 59 1130]

    [6]

    Wang J,Wang Z L 2004 Chin. Phys. 13 877

    [7]

    Wang J, Shi Y M 2006 Acta Phys. Sin. 55 2820 (in Chinese) [王 晶、时延梅 2006 物理学报 55 2820]

    [8]

    Tan Z W, Ning T G, Liu Y,Chen Y, Cao J H, Dong X W, Ma L N, Jian S S 2006 Acta Phys. Sin. 55 2799 (in Chinese) [谭中伟、宁提纲、刘 艳、陈 勇、曹继红、董小伟、马丽娜、简水生 2006 物理学报 55 2799]

    [9]

    Zeng S G, Zhang B 2009 Acta Phys. Sin. 58 2476 (in Chinese)[曾曙光、张 彬 2009 物理学报 58 2476]

    [10]

    Yang J S 2005 The technique of ocean wind-field and ocean wave and internal waves remote sensing of synthetic aperture radar (Qingdao:Ocean Press) p75(in Chinese)[杨劲松 2005合成孔径雷达海面风场、海浪和内波遥感技术(青岛:海洋出版社) 第75页]

    [11]

    Song J B 2006 Chin. Phys. 15 2796

    [12]

    Yang H L, Song J B, Yang L G, Liu Y J 2007 Chin. Phys. 16 3589

    [13]

    Shi M C, Gao G P, Bao X W 2000 Ocean survey methods(Qingdao: Ocean University of Qingdao Press) p265 (in Chinese)[侍茂崇、高郭平、鲍献文 2000 海洋调查方法(青岛:青岛海洋大学出版社) 第265页]

    [14]

    Sun X P 2006 The ocean in offshore China(Beijing:Ocean press) p201(in Chinese) [孙湘平 中国近海区域海洋(北京:海洋出版社) 第201页]

    [15]

    Fang X H, Du T 2005 Fundamentals of Oceanic Internal Waves and Internal Waves in the China Seas (Qingdao: Ocean University of China Press) p178 (in Chinese) [方欣华、杜涛 2005 海洋内波基础和中国海内波 (青岛:中国海洋大学出版社) 第178页]

计量
  • 文章访问数:  8557
  • PDF下载量:  950
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-10-26
  • 修回日期:  2010-01-11
  • 刊出日期:  2010-09-15

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