留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

大型海湾水交换计算中随机游动方法的应用研究

李小宝 袁德奎 陶建华

李小宝, 袁德奎, 陶建华. 大型海湾水交换计算中随机游动方法的应用研究[J]. 应用数学和力学, 2011, 32(5): 587-598. doi: 10.3879/j.issn.1000-0887.2011.05.009
引用本文: 李小宝, 袁德奎, 陶建华. 大型海湾水交换计算中随机游动方法的应用研究[J]. 应用数学和力学, 2011, 32(5): 587-598. doi: 10.3879/j.issn.1000-0887.2011.05.009
LI Xiao-bao, YUAN De-kui, TAO Jian-hua. Study on Application of Random Walk Method to Water Exchange in Large-Scale Bay[J]. Applied Mathematics and Mechanics, 2011, 32(5): 587-598. doi: 10.3879/j.issn.1000-0887.2011.05.009
Citation: LI Xiao-bao, YUAN De-kui, TAO Jian-hua. Study on Application of Random Walk Method to Water Exchange in Large-Scale Bay[J]. Applied Mathematics and Mechanics, 2011, 32(5): 587-598. doi: 10.3879/j.issn.1000-0887.2011.05.009

大型海湾水交换计算中随机游动方法的应用研究

doi: 10.3879/j.issn.1000-0887.2011.05.009
基金项目: 国家自然科学基金资助项目(10702050)
详细信息
    作者简介:

    李小宝(1982- ),男,江西人,博士生(E-mail:gemli@126.com);袁德奎,男,副研究员(联系人.Tel:+86-22-27890726;E-mail:dkyuan@tju.edu.cn);陶建华,女,教授,博士生导师(E-mail:jhtao@tju.edu.cn).

  • 中图分类号: P731.26;X145

Study on Application of Random Walk Method to Water Exchange in Large-Scale Bay

  • 摘要: 水交换矩阵是反映大型海湾不同子区域之间水交换关系的有效工具,该文对随机游动方法在水交换矩阵计算中的应用进行了研究.通过与对流扩散模型的对比,指出用随机游动方法计算水交换矩阵比用对流扩散方程求解更快更灵活.同时,为了对不同区域之间的水交换特性进行长期快速预测,采用了Thompson提出的预测矩阵方法.通过理论分析得出,影响该矩阵预测效果的因素主要有:粒子数目、分区数和预测矩阵取值时间.以一个矩形海湾为例,将数值模拟结果和预测矩阵预测结果进行对比,分析了以上各因素对预测效果的影响.结果表明,粒子数目越多,预测矩阵取值时间越长,预测矩阵的预测效果越好.在粒子数目足够多的情形下,分区数越多,预测效果越好.相反,粒子数目如果较少,过多的分区数将可能导致预测矩阵效果太差而不可用.
  • [1] Parker D S, Norris D P, Nelson A W. Tidal exchange at golden gate[J]. Journal of Sanit Engineering Division, ASCE, 1972, 98(2): 305-323.
    [2] 柏井诚. 海水交换の概念と海水交换率[J]. Journal of the Oceanographical Society of Japan, 1984, 40: 135-147.(Kashiwai M. The conception of tidal exchange and the tidal exchange ratio[J]. Journal of the Oceanographical Society of Japan, 1984, 40: 135-147. (in Japanese)) doi: 10.1007/BF02302494
    [3] 何磊. 海湾水交换数值模拟方法研究[D]. 硕士论文. 天津:天津大学,2004.(HE Lei. The numerical method study of water exchange for sea bay[D]. M Sc Dissertation. Tianjin:Tianjin University, 2004. (in Chinese))
    [4] Thompson K R, Dowd M, Shen Y, Greenberg D A. Probabilistic characterization of tidal mixing in a coastal embayment: a Markov chain approach[J]. Continental Shelf Research, 2002, 22: 1603-1614. doi: 10.1016/S0278-4343(02)00024-9
    [5] Liu Z, Wei H, Liu G S, Zhang J. Simulation of water exchange in Jiaozhou Bay by average residence time approach[J]. Estuarine, Coastal and Shelf Science, 2004, 61: 25-35. doi: 10.1016/j.ecss.2004.04.009
    [6] Peter S, Daniel F G, J Jaime G H. A review and numerical assessment of the random walk particle tracking method[J]. Journal of Contaminant Hydrology, 2006, 87: 277-305. doi: 10.1016/j.jconhyd.2006.05.005
    [7] Bilgili A, Proehl J A, Lynch D R, Smith K W, Swift M R. Estuary/ocean exchange and tidal mixing in a gulf of maine estuary: a Lagrangian modeling study[J]. Estuarine, Coastal and Shelf Science, 2005, 65: 607-624. doi: 10.1016/j.ecss.2005.06.027
    [8] Riddle A M. Investigation of model and parameter uncertainty in water quality models using a random walk method[J]. Journal of Marine Systems, 2001, 28: 269-279. doi: 10.1016/S0924-7963(01)00027-6
    [9] Wang C, Zhang X Q, Sun Y L. Numerical simulation of water exchange characteristics of the Jiaozhou Bay based on a three-dimensional Lagrangian model[J]. China Ocean Engineering, 2009, 23(2): 277-290.
    [10] It K. On stochastic differential equations[C]Memoirs of the American Mathematical Society. New York: AMS, 1951, 4: 289-302.
    [11] Kinzelbach W. The random walk method in pollutant transport simulation[C]Groundwater Flow and Quality Modelling, NATO ASI Series C. Netherland: D Reidel Pub Co, 1988, 224: 227-246.
    [12] Visser A W. Using random walk models to simulate the vertical distribution of particles in a turbulent water column[J]. Mar Ecol Prog Ser, 1997, 158: 275-281. doi: 10.3354/meps158275
    [13] Seung W S. A hybrid approach to particle tracking and Eulerian-Lagrangian models in the simulation of coastal dispersion[J]. Environmental Modelling & Software, 2006, 21: 234-242.
    [14] Zimmerman J T F. Mixing and flushing of tidal embayments in the Western Dutch Wadden Sea, part I: distribution of salinity and calculation of mixing time scales[J]. Netherlands Journal of Sea Research, 1976, 10(2): 149-191. doi: 10.1016/0077-7579(76)90013-2
    [15] Takeoka H. Fundamental concepts of exchange and transport time scales in a coastal sea[J]. Continental Shelf Research, 1984, 3(3): 311-326. doi: 10.1016/0278-4343(84)90014-1
    [16] 余常昭. 环境流体力学导论[M]. 北京:清华大学出版社,1992: 128-134.(YU Chang-zhao. The Introduction of Environmental Fluid Mechanics[M]. Beijing: Tsinghua University Press, 1992: 128-134. (in Chinese))
  • 加载中
计量
  • 文章访问数:  1367
  • HTML全文浏览量:  69
  • PDF下载量:  787
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-10-18
  • 修回日期:  2011-02-16
  • 刊出日期:  2011-05-15

目录

    /

    返回文章
    返回