Tu C, Deville M, Dheur L, Vanderschuren L
Unité de Mécanique Appliquée, Université Catholique de Louvain, Belgium.
J Biomech. 1992 Oct;25(10):1141-52. doi: 10.1016/0021-9290(92)90070-h.
The problem of blood flow through a stenosis is solved using the incompressible Navier-Stokes equations in a rigid circular tube presenting a partial occlusion. Calculations are based on a Galerkin finite element method. The time marching scheme employs a predictor-corrector technique using a variable time step. Results are obtained for steady and physiological pulsatile flows. Computational experiments analyse the effect of varying the degree of stenosis, the stricture length, the Reynolds number and Womersley number. The method gives results which agree well with previous computations for steady flows and experimental findings for steady and pulsatile flows.
利用不可压缩的纳维-斯托克斯方程求解刚性圆形管中存在部分阻塞时的血流问题。计算基于伽辽金有限元法。时间推进方案采用了使用可变时间步长的预估-校正技术。得到了稳定流和生理性脉动流的结果。计算实验分析了改变狭窄程度、狭窄长度、雷诺数和沃默斯利数的影响。该方法得到的结果与先前稳定流的计算结果以及稳定流和脉动流的实验结果吻合良好。
