Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement
Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement
复制标题
血流中的流固相互作用捕获非零纵向结构位移
DOI：
10.1016/j.jcp.2012.08.033
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
A. Quaini
中科院分区：
文献类型：
--
作者：
M. Bukač;S. Čanić;R. Glowinski;J. Tambača;A. Quaini
我们提出了一种新模型和一种新颖的松耦合分区数值方案，模拟血流中的流固相互作用（FSI），允许非零纵向位移。动脉壁通过线性粘弹性圆柱形 Koiter 壳模型建模，捕获径向和纵向位移。流体流动通过不可压缩粘性流体的纳维-斯托克斯方程进行建模。两者通过运动学和动态耦合条件完全耦合。我们的数值方案基于一种新的改进的李算子分裂，它以一种产生无条件稳定的松耦合方案的方式解耦流体和结构子问题。这是通过在流体和结构子问题中巧妙地使用运动学耦合条件来实现的，从而导致流体和结构速度之间的隐式耦合。所提出的方案是最近引入的“运动学耦合方案”的修改，其中新提出的修改后的李分裂显着提高了精度。通过几个指导性示例研究了该方案的性能和准确性，包括与整体方案的比较。结果表明，我们的方案的准确性与整体方案相当，同时我们的方案保留了分区方案的所有主要优点，例如模块化、实现简单和计算成本低。
We present a new model and a novel loosely coupled partitioned numerical scheme modeling fluid–structure interaction (FSI) in blood flow allowing non-zero longitudinal displacement. Arterial walls are modeled by a linearly viscoelastic, cylindrical Koiter shell model capturing both radial and longitudinal displacement. Fluid flow is modeled by the Navier–Stokes equations for an incompressible, viscous fluid. The two are fully coupled via kinematic and dynamic coupling conditions. Our numerical scheme is based on a new modified Lie operator splitting that decouples the fluid and structure sub-problems in a way that leads to a loosely coupled scheme which is unconditionally stable. This was achieved by a clever use of the kinematic coupling condition at the fluid and structure sub-problems, leading to an implicit coupling between the fluid and structure velocities. The proposed scheme is a modification of the recently introduced “kinematically coupled scheme” for which the newly proposed modified Lie splitting significantly increases the accuracy. The performance and accuracy of the scheme were studied on a couple of instructive examples including a comparison with a monolithic scheme. It was shown that the accuracy of our scheme was comparable to that of the monolithic scheme, while our scheme retains all the main advantages of partitioned schemes, such as modularity, simple implementation, and low computational costs.