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浅水环流问题的有限元分析

吕玉麟 赖国璋

吕玉麟, 赖国璋. 浅水环流问题的有限元分析[J]. 应用数学和力学, 1984, 5(5): 731-742.
引用本文: 吕玉麟, 赖国璋. 浅水环流问题的有限元分析[J]. 应用数学和力学, 1984, 5(5): 731-742.
Lü Yu-lin, Lai Guo-zhang. The Mathematical Modelling of Near Coast Shallow Water Circulation[J]. Applied Mathematics and Mechanics, 1984, 5(5): 731-742.
Citation: Lü Yu-lin, Lai Guo-zhang. The Mathematical Modelling of Near Coast Shallow Water Circulation[J]. Applied Mathematics and Mechanics, 1984, 5(5): 731-742.

浅水环流问题的有限元分析

The Mathematical Modelling of Near Coast Shallow Water Circulation

  • 摘要: 考虑涡流粘性,底部摩擦,Coriolis力和重力作用,以单层模型的竖直向积分建立二维流动的环流控制方程.用Galerkin加权余量法建立环流边值问题的弱形式.用有限元法和分裂时间法分别离散空间和时间进行数值近似计算.采用线性内插的“人工光滑”处理以消除短波长噪音干扰,而避免已有的大阻尼系数方法等缺陷.为节省计算内存容量,程序中建立稀疏矩阵的一维紧凑存贮格式,排除了全部“零”元素的容量要求.
  • [1] Leendertse,J.J.,Aspects of a Computational model for long period water wave propagation,Rand Corp.RM-5294-PR,(1967).
    [2] 金子史雄、崛江毅、村上和男.ADI法による潮流污染掂散の数值酬算—大阪湾に遭用した场合につひこ.港湾技衔研究所银告,14,1(1975).
    [3] Liggett,J.A.and D.A.Woolhiser,DifFerence solutions of the shallow water equation,Jour.Engng.Mech.Division,ASME,EM2,April,(1967).
    [4] Taylor,C.and J.Davis,Tidal and long water propagation-A finite element approach,Computers and Fluids,Vol.3,(1975).
    [5] Connor,J.J.and J.D.Wang,Mathematical models of the Massachusetts Bay,Part I,MIT Sea Grant Technical Report,MITSG 74-4,(1973).
    [6] Easton,A.K.and H.R.Milner,Comparison of two tidal model for Cario Bay,Victoria Finite Element Methods is Engineering,Dec.(1976).
    [7] Kawahare,M.,A.Takeuchi and T.Yoshida,Two step explicit finite element method for Tsunami wave propagation analysis,Int.J.Num.Meth.Engng.Vol.12,No.2,(1978).
    [8] Gray,W.G.and D.R.Lynch,On the control of noise in finite element tidal computations,Computers and Fluids,Vol.7,No.3.March,(1979).
    [9] Grotkop,G.,Finite element analysis of long-period water waves,Comp.Math.in Appl.Mech.and Engng.,Vol 2,(1973).
    [10] Norton,W.R.,I.P.King and G.T.Orlob,A finite element model for lower granite reservoir,Water Resources,Engineers Inc.,Walnut Creek,(1973).
    [11] Withum,D.,K.P.Holz and U.Meissner,Finite element formulations for tidal wave analysis,Computer Methods in Applied Mechanics and Engineering,17/18(1979).
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出版历程
  • 收稿日期:  1982-12-27
  • 刊出日期:  1984-10-15

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