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动脉血管流动计算的伽辽金有限元法研究
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.
作者姓名:G·C·夏玛  马德胡·珍  阿尼尔·克乌玛
作者单位: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)
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,采用了物理坐标系统换到曲线边界贴休坐标系的数学技巧,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。

关 键 词:切应力  血液流动  伽辽金法  血液流动  二维截定常流  有限元法  数值方法  N-S方程
文章编号:10000887(2001)09091107
修稿时间:2000年3月3日

Finite Element Galerkin Approach for a Computational Study of Arterial Flow
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.
Authors:GCSharma  Madhu Jain  Anil Kumar
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 is large.
Keywords:shear stress  blood flow  arterial flow  Galerkin approach  
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