In this work, we present a computational fluid-structure interaction (FSI) study for a healthy patient-specific pulmonary arterial tree using the unified continuum and variational multiscale (VMS) formulation we previously developed. The unified framework is particularly well-suited for FSI, as the fluid and solid sub-problems are addressed in essentially the same manner and can thus be uniformly integrated in time with the generalized-α method. In addition, the VMS formulation provides a mechanism for large-eddy simulation in the fluid sub-problem and pressure stabilization in the solid sub-problem. The FSI problem is solved in a quasi-direct approach, in which the pressure and velocity in the unified continuum body are first solved, and the solid displacement is then obtained via a segregated algorithm and prescribed as a boundary condition for the mesh motion. Results of the pulmonary arterial FSI simulation are presented and compared against those of a rigid wall simulation.

中文翻译：

---

使用统一连续体和变分多尺度公式对肺动脉血流进行流固耦合建模


在这项工作中，我们使用我们之前开发的统一连续体和变分多尺度（VMS）公式，对健康患者特异性肺动脉树进行了计算流固耦合（FSI）研究。统一框架特别适合 FSI，因为流体和固体子问题基本上以相同的方式解决，因此可以使用广义 α 方法及时统一积分。此外，VMS 公​​式提供了流体子问题中的大涡模拟和固体子问题中的压力稳定的机制。 FSI问题采用准直接方法求解，首先求解统一连续体中的压力和速度，然后通过分离算法获得固体位移并规定为网格运动的边界条件。展示了肺动脉 FSI 模拟的结果，并将其与刚性壁模拟的结果进行了比较。