## 留言板

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

• 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.

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##### 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

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