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The application of the Lattice Boltzmann method to the one-dimensional modeling of pulse waves in elastic vessels
Wave Motion ( IF 2.4 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.wavemoti.2020.102533
Oleg Ilyin

Abstract The one-dimensional nonlinear equations for the blood flow motion in distensible vessels are considered using the kinetic approach. It is shown that the Lattice Boltzmann (LB) model for non-ideal gas is asymptotically equivalent to the blood flow equations for compliant vessels at the limit of low Knudsen numbers. The equations of state for non-ideal gas are transformed to the pressure-luminal area response. This property allows to model arbitrary pressure-luminal area relations. Several test problems are considered: the propagation of a sole nonlinear wave in an elastic vessel, the propagation of a pulse wave in a vessel with varying mechanical properties (artery stiffening) and in an artery bifurcation, in the last problem Resistor–Capacitor–Resistor (RCR) boundary conditions are considered. The comparison with the previous results shows a good precision.

中文翻译:

格子 Boltzmann 方法在弹性血管脉搏波一维建模中的应用

摘要 使用动力学方法考虑了可扩张血管中血流运动的一维非线性方程。结果表明,非理想气体的格子玻尔兹曼(LB)模型在低克努森数极限下与顺应血管的血流方程渐近等效。非理想气体的状态方程被转换为压力-管腔面积响应。此属性允许对任意压力-管腔面积关系进行建模。考虑了几个测试问题:单个非线性波在弹性血管中的传播,脉搏波在具有不同机械特性的血管(动脉硬化)和动脉分叉中的传播,最后一个问题电阻-电容-电阻(RCR) 边界条件被考虑。
更新日期:2020-06-01
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