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

动脉血管流动计算的伽辽金有限元法研究

印度基础科学研究所数学科学部, 阿格拉282002, 印度

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
计量
- 文章访问数: 2074
- HTML全文浏览量: 99
- PDF下载量: 578
- 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

Finite Element Galerkin Approach for a Computational Study of Arterial Flow

School of Mathematical Sciences, Institute of Basic Science, Khandari, Agra-282002, India

摘要

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。
- 切应力 /
- 血液流动 /
- 动脉流动 /
- 伽辽金法
Abstract: A finite element solution for the Navier-Stokes equations for steady flow through a double branched two dimensional section of three dimensional model of canine aorta is obtained. The numerical technique involves transformation of the physical coordinates to a curvilinear boundary fitted coordinate system. The shear stress at the wall is calculated for Reynolds number of 1000 with branch to main aortic flow rate ratio as a parameter. The results are compared with earlier works involving experimental data and it is observed that the results are very close to their solutions. This work in fact is an improvement of the work of Sharma and Kapoor (1995) in the sense that computations scheme is economic and Renolds number islarge.
- shear stress /
- blood flow /
- arterial flow /
- Galerkin approach

HTML全文

参考文献(10)

[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.