二维弹性锥形血管模型的有限元分析及数值模拟

Finite Element Analysis and Numerical Simulation of an Elastic Tapered Vessel Model in Two Dimensions

通过运用任意拉格朗日—欧拉方法(ALE方法),能够对二维下的弹性条件下的锥形血管中的速度场和压力场进行分析.假设血管的锥度角为小锥度角,来获得血液在血管内流动的速度、压力分布,并与无锥度角的血管和刚性条件下的血管内的血液流动情况作比较.结论:血液在血管内的流动的速度分布和压力分布与血管的弹性性质无关,但和锥度角的大小有关系.锥度角越大,那么压力变化的幅值就越大,径向速度变化越显著,却又不会影响径向速度分布的最大值位置.

The arbitrary Lagrange-Euler method is used to analyse the velocity field and the pressure flied of an elastic tapered vessel in two dimensions. Under the assumption of small taper angle the effects of blood flow in elastic vessels on the velocity and pressure distribu- tion are obtained, and then these are compared between no taper angel of blood vessels and rigid blood vessels. The simulation results show that the velocity distribution and pressure distribution of blood flow have nothing to do with the elastic properties of blood vessels, but have relationships with the size of tapered angle. When tapered angle becomes larger, the pressure change of the amplitude becomes greater and the radial velocity change of the am- plitude becomes more and more significant, but does not affect the position of the maximum radial velocity distribution.