论文标题

使用统一的连续体和各种多尺度配方

Fluid-structure interaction modeling of blood flow in the pulmonary arteries using the unified continuum and variational multiscale formulation

论文作者

Liu, Ju, Yang, Weiguang, Lan, Ingrid S., Marsden, Alison L.

论文摘要

在这项工作中,我们提出了一项计算流体结构相互作用(FSI)研究,该研究使用我们先前开发的统一的连续性和变异的多尺度(VMS)配方,对健康的患者特异性肺动脉树进行了健康。统一的框架特别适合FSI,因为流体和固体子问题基本相同,因此可以及时与广义 - $α$方法统一地集成。另外,VMS公式为流体亚问题中的大涡模拟和固体亚问题中的压力稳定提供了一种机制。 FSI问题以准直接方法解决,其中首先解决统一连续体中的压力和速度,然后通过隔离算法获得实体位移,并作为网格运动的边界条件处方。给出了肺动脉FSI模拟的结果,并将其与刚性壁模拟的结果进行比较。

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.

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