期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一种改善了非线性和色散性的Boussinesq方程模型 被引量：4

A Boussinesq Model With Improved Nonlinearity and Dispersion
下载PDF
导出
摘要 推导了一种在不平底上的新的Boussinesq方程.在不增加方程的最高导数项的阶数的情况下提高了模型方程的非线性.为了提高模型的色散性,引入长波近似,通过调节待定系数来使模型的色散性达到Padé(2,2).对模型方程进行了非线性、线性色散性和线性浅化性分析,分析表明此模型在非线性、色散性和浅化性上都有所提高.将计算结果与实验数据做了比较,结果显示模型更好的符合了实验数据. A new form of Boussinesq model over uneven bottom is derived. In the new model, the nonlinearity is improved without increasing the orders of the highest derivative of the differential equations. The dispersion relationship of the model was improved to the order of Padé（2,2） by adjusting a parameter in the model based on the long wave approximation. The analysis of the linear dispersion, linear shoaling and nonlinearity of the present model shows that the nonlinearity, dispersion and shoaling of this model are improved. The numerical results obtained for the present model were compared with the experimental data, and it is found that the predicted results agree with the experimental data.
作者 张殿新 陶建华
机构地区 天津大学机械工程学院力学系
出处 《应用数学和力学》 CSCD 北大核心 2008年第7期813-824,共12页 Applied Mathematics and Mechanics
基金 国家自然科学基金资助项目(50509018)
关键词 BOUSSINESQ方程 改进 非线性 色散性 Boussinesq equation improvement nonlinearity dispersion
分类号 O353.2 [理学—流体力学]
  • 相关文献

参考文献16

  • 1Boussinesq M J. Theorie des ondes et des ramous qui se propagent le long d' un canal rectangularies horizontal, en communiquant au liquide contenudans ce canal des vitesses sensiblement pareilles de la surface au fond[J]. Journal de Mathematique Pures et Apppliquees,Deuxieme Serie, 1872, 17 (1) :55-108.
  • 2Peregrine D H. Long waves on a beach[J]. J Fluid Mech, 1967,27(7) : 815-827.
  • 3Madsen P A, Sorensen O R. A new form of the Boussinesq equations with improved linear dispersion characteristics- Part 2: A slowly-varying bathymetry [ J ]. Coastal Engineering, 1992,18 ( 4/3 ) : 183- 204.
  • 4Nwogu O. Alternative form of Boussinesq equations for nearshore wave propagation[J]. Journal of Waterway , Port, Coastal and Ocean Engineering, 1993,119(6) :618-638.
  • 5Wei G, Kirby J T, Grilli S T, et al.A fully nonlinear Boussinesq model for surface waves--Part 1: Highly nonlinear unsteady waves[J]. J Fluid Mech, 1995,294(13) : 71-92.
  • 6Agnon B Y, Madsen P A, Schaffer H A.A new approach to high-order Boussinesq models[ J] .J Fluid Mech, 1999,399(22) : 319-333.
  • 7Gobbi M F, Kirby J T, Wei G. A fully nonlinear Boussinesq model for surface waves--Part 2: Extension to O( (kh)4) [J]. J Fluid Mech, 2000,405(4) : 181-210.
  • 8Madsen P A, Bingham B B,LIU Hua.A new Boussinesq method for fully nonlinear waves from shallow to deep water[ J]. J Fluid Mech ,2002,462(13) : 1-30.
  • 9Madsen P A, Fuhrman D R, WANG Ben-long. A Boussinesq-type method for fully nonlinear waves interacting with a rapidly varying bathymetry[J]. Coastal Engineering ,2006,53(5/6):487-504.
  • 10Gobbi M F, Kirby J T. A fourth order Boussinesq-type wave model[ A] .In:Billy L, Ed. Proceedings ofthe 25th international Conference an Coastal Enginggring [C]. New York: ASCE. 1997, 1(1): 1110-1129.

同被引文献27

  • 1王海桥,施式亮,刘荣华,刘何清.独头巷道附壁射流通风流场数值模拟研究[J].煤炭学报,2004,29(4):425-428. 被引量：84
  • 2刘忠波,张日向,姜萌.简便推导改进Boussinesq方程的一种方法[J].大连理工大学学报,2005,45(1):118-120. 被引量：5
  • 3KIRBYJ T. Boussinesq models and applications to nearshore wave propagation, surfzone processes and wave-induced cur- rents[ M]//LANKHAN V C. Advances in coastal engineering. New York: Elsevier Science, 2002: 1-41.
  • 4ZOU Z L, FANG K Z. Ahemative forms of higher order Boussinesq equations: Derivations and validations [ J ]. Coastal Engineering, 2008,55 (6) :506-521.
  • 5ZOU Z L, LIU Z B, FANG K Z. Further improvements to higher-order Boussinesq equations: Bragg reflection[ J]. Coastal Engineering, 2009, 56(5-6) : 672-687.
  • 6MADSEN P A, FUHRMAN D R. High-order Boussinesq-type modeling of nonlinear wave phenomena in deep and shallow water[ M ]//MA QW. Advances in numerical simulation of nonlinear water waves. Singapore: World Scientific Publishing Co. Pte. Ltd. , 2010:245-285.
  • 7ZOU Z L, FANG K Z, LIU Z B. Inter-comparisons of different forms of higher-order Boussinesq equations [ M ]//MA Q W. Advances in numerical simulation of nonlinear water waves. Singapore: World Scientific Publishing Co. Pte. Ltd. , 2010 : 286-322.
  • 8CRUZ E C, CHEN Q. Numerical modeling of nonlinear water waves over heterogeneous porous beds[J]. Ocean Engineer- ing, 2007, 34(8-9): 1303-1321.
  • 9HSIAOS C, LIU P L-F, CHEN Y Z. Nonlinear water waves propagating over a permeable bed [ J ]. Proc R Soc Lond A, 2002, 458 : 1291-1322.
  • 10CHEN Q. Fully nonlinear Boussinesq-type equations for waves and currents over porous beds [ J ]. Journal of Engineering Mechanics, 2006, 132 (2) : 220-230.

引证文献4

二级引证文献9

应用数学和力学
2008年 第7期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部