动脉血管流动计算的伽辽金有限元法研究

Finite Element Galerkin Approach for a Computational Study of Arterial Flow

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 10 0 0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·

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.