狭窄动脉血管中血液流动的ALE有限元分析

ALE Finite Element Analysis of Blood Flow in Stenosis Arteries

针对狭窄动脉血管中血液的流动状况,采用任意拉格朗日-欧拉方法(ALE),模拟了二维弹性动脉血管内血液流动的情况,并用有限元方法对刚性狭窄血管内的血流情况进行了数值模拟。在给定相同的边界条件下模拟出了弹性血管和刚性血管中血流速度和压力的变化情况,并且进行了比较,结果表明:在刚性狭窄血管中,速度和压力随着流场的延长变得非常不稳定;弹性狭窄血管中,由于管壁的弹性,血流的速度和压力要比刚性血管内的变化明显减小,在通过狭窄部位后,血流情况稳定,更加接近正常生理状况。刚性血管无法对人体正常生理状态进行比较好的模拟,其计算所得结论与实际情况差距较大,同时说明了ALE方法对血液流动的数值研究是可行的。

By ALE method simulates two-dimensional blood flow through a stenosis elastic artery and by the finite element method makes numerical simulation of the blood flow through a stenosis rigid artery.At the same boundary conditions,compares the varying situations of the flow velocities and pressures in the stenosis elastic artery and the rigid.The simulation results show that the velocity and pressure in the rigid artery are not stable with the extension of flow field and in the elastic artery,because of the flexiblility of the elastic wall,the changes of the velocity and pressure are apparently smaller and stabler,which is more similar to physiological situation.The simulation of rigid artery can not meet the case of normal physiological condition and the computing results are far from the actual condition,meanwile explains that the ALE method is practicable for the numerical research of blood flow in blood vessels.