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

动脉血管流动计算的伽辽金有限元法研究

G. C. 夏玛 马德胡·珍 阿尼尔·克乌玛

G. C. 夏玛, 马德胡·珍, 阿尼尔·克乌玛. 动脉血管流动计算的伽辽金有限元法研究[J]. 应用数学和力学, 2001, 22(9): 911-917.
引用本文: G. C. 夏玛, 马德胡·珍, 阿尼尔·克乌玛. 动脉血管流动计算的伽辽金有限元法研究[J]. 应用数学和力学, 2001, 22(9): 911-917.
G. C. Sharma, Madhu Jain, Anil Kumar. Finite Element Galerkin Approach for a Computational Study of Arterial Flow[J]. Applied Mathematics and Mechanics, 2001, 22(9): 911-917.
Citation: G. C. Sharma, Madhu Jain, Anil Kumar. Finite Element Galerkin Approach for a Computational Study of Arterial Flow[J]. Applied Mathematics and Mechanics, 2001, 22(9): 911-917.

动脉血管流动计算的伽辽金有限元法研究

基金项目: 新德里CSIR资助项目(25/98/97-EMR-Ⅱ)
详细信息
  • 中图分类号: O242.21;O357.1

Finite Element Galerkin Approach for a Computational Study of Arterial Flow

  • 摘要: 得到大动脉三维模型的过二重分叉的二维截定常流的NS方程有限元解。采用了物理坐标系变换到曲线边界贴体坐标系的数学技巧。以支流至主动脉流率为参数,计算了雷诺数为1000的壁面切应力。所得结果与前人的工作(包括实验数据)进行了比较,发现与他们的结果非常接近,改进了Sharma和Kapoor(1995)的工作,相比之下,所用的数值方法上更经济,适用的雷诺数更大。
  • [1] Fry D L. Certain histological and chemical responses of the vascular interface to acutely induced mechanical stress in the aorta of the dog[J]. Circulation Res,1969,93-108.
    [2] Thompson J F, Thomes F C, Mastin C W. Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any of arbitrary two dimensional bodies[J]. J Comput Phys,1994,15:299-319.
    [3] Gokhale V V, Tanner R I, Bischoff K B. Finite element solution of the Navier-Stokes equations for two dimensional steady flow through a section of a canine aorta model[J]. Journal of Biomechanics,1978,11:241-249.
    [4] Gresho P M, Lee R L, Sani R L. Lawrence Livermore Laboratory Rept UCRL-83282,Sept,1979.
    [5] Lutz R J, Hsu L, Menawat A, et al. Fluid mechanics and boundary layer mass transport in an arterial model during steady and unsteady flow[A]. In: 74th Annual AICHE[C]. New Orleans,LA,1981.
    [6] Mishra J C, Singh S T. A large deformation analysis for aortic walls under a physiological loading[J]. J Engg Sciences,1983,21:1193-1202.
    [7] Sharma G C, Kapoor J. Finite element computation of two dimensional arterial flow in the presence of a transverse magnetic field[J]. Internat J Numer Methods Fluids,1995,20:1153-1161.
    [8] Dash R K, Jayarman G, Mehta K M. Estimation of increased flow resistance in a narrow catheterized arteries[J]. Journal of Biomechanics,1996,29A:917-930.
    [9] Ku N. Blood flow in arteries[J]. Annual Review of Fluid Mechanics,1997,29:399-434.
    [10] Dash R K, Jayarman G, Mehta K M. Flow in cathertized curved artery with stenosis[J]. Journal of Biomechanics,1999,32:46-61.
  • 加载中
计量
  • 文章访问数:  1950
  • HTML全文浏览量:  63
  • PDF下载量:  577
  • 被引次数: 0
出版历程
  • 收稿日期:  2000-03-03
  • 修回日期:  2001-07-08
  • 刊出日期:  2001-09-15

目录

    /

    返回文章
    返回