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二维流体力学变分通用公式

何吉欢

何吉欢. 二维流体力学变分通用公式[J]. 应用数学和力学, 2001, 22(9): 891-897.
引用本文: 何吉欢. 二维流体力学变分通用公式[J]. 应用数学和力学, 2001, 22(9): 891-897.
HE Ji-huan. A Universal Variational Formulation for Two Dimensional Fluid Mechanics[J]. Applied Mathematics and Mechanics, 2001, 22(9): 891-897.
Citation: HE Ji-huan. A Universal Variational Formulation for Two Dimensional Fluid Mechanics[J]. Applied Mathematics and Mechanics, 2001, 22(9): 891-897.

二维流体力学变分通用公式

基金项目: 国家重点基础研究发展规划项目(973项目)资助项目(1998020318)
详细信息
    作者简介:

    何吉欢(1965- ),男,浙江诸暨人,上海大学博士,乌克兰科学院名誉教授,已发表论文100多篇,1998年获得英国Literati奖,现在担任International Journal of Nonlinear Scienceand Numerical Simulation杂志主编,同时担任International Journal of Turbo&Jet-Engines等5种国际杂志的编委.

  • 中图分类号: O351

A Universal Variational Formulation for Two Dimensional Fluid Mechanics

  • 摘要: 推导得到了二维流体力学变分通用公式,该公式适用于任何二维守恒型流体力学方程,得到的泛函受约于所谓的参数约束方程(控制方程中各参数间的相互关系式)。消除参数约束,我们可以十分方便地从通用公式导得广义变分原理。几个实例证明这种方法是有效的、简单的,并具有普遍的意义。
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    [8] 何吉欢. 简论林家翘约束[A]. 见庄逢甘主编. 现代力学与科技进步[C]. 北京:清华大学出版社,1997,603-604.
    [9] 何吉欢. 流体力学变分原理建立的新途径及林家翘约束[D]. 博士学位论文. 上海:上海大学,1997.
    [10] 何吉欢. 流体力学广义变分原理[M]. 上海: 上海大学出版社,2000.
    [11] Bretherton F P. A note on Hamilton's principle for perfect fluids[J]. J Fluid Mech,1970,44(1):19-31.
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    [13] HE Ji-huan. Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics[J]. Int J Turbo & Jet-Engines,1997,14(1):23-28.
    [14] HE Ji-huan. A family of variational principles for compressible rotational blade-to-blade flow using semi-inverse method[J]. Int J Turbo & Jet-Engines,1998,15(2):95-100.
    [15] HE Ji-huan. Hybrid problems of determining unknown shape of bladings in compressible S2-flow in mixed-flow turbomachinery via variational technique[J]. Aircraft Engineering and Aerospace Technology,1999,71(2):154-159.
    [16] HE Ji-huan. Inverse problems of determining the unknown shape of oscillating airfoils in compressible 2D unsteady flow via variational technique[J]. Aircraft Engineering and Aerospce Technology,2000,72(1):18-24.
    [17] HE Ji-huan. Generalized Hellinger-Reissner principle[J]. ASME Journal of Applied Mechanics,2000,67(2):326-331.
    [18] HE Ji-huan. A variational principle for thermopiezoelectricity based on Chandrasekha-raiah's generalized linear theory[J]. J University of Shanghai for Science and Technology,1999,21(4):356-365.
    [19] HE Ji-huan. Coupled variational principles of piezoelectricity[J]. Int J Engineering Science,2000,39(3):323-341.
    [20] HE Ji-huan. A variational model for micropolar fluids in lubrication journal bearing[J]. International Journal of Nonlinear Sciences and Numerical Simulation,2000,1(2):139-141.
    [21] HE Ji-huan. Classical variational model for the micropolar elastodynamics[J]. International Journal of Nonlinear Sciences and Numerical Simulation,2000,1(2):133-138.
    [22] 何吉欢. 论弹性力学广义变分原理的临界变分现象[J]. 上海理工大学学报,1999,21(2):127-130.
    [23] 何吉欢. 流体力学中的临界变分现象及其消除方法[J]. 上海理工大学学报,1999,21(1):29-35.
    [24] 何吉欢. 弹性理论中的临界变分及消除方法[J]. 上海力学,1997,18(4):305-310.
    [25] LIU Gao-lian. A term-condensing method and generalized potential, stream & path functions for 3-D compressible viscous flow[A]. In: Proceeding Second Asian Congress of Fluid Mechanics[C]. Beijing: Science Press,1983,698-704.
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出版历程
  • 收稿日期:  2000-06-22
  • 修回日期:  2001-04-08
  • 刊出日期:  2001-09-15

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