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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。

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

作者信息

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

机构信息

Department of Pediatrics (Cardiology), Department of Bioengineering, and Institute for Computational and Mathematical Engineering, Stanford University, Clark Center E1.3, 318 Campus Drive, Stanford, CA 94305, USA.

出版信息

Mech Res Commun. 2020 Jul;107. doi: 10.1016/j.mechrescom.2020.103556. Epub 2020 Jun 27.

DOI:10.1016/j.mechrescom.2020.103556
PMID:32773906
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7405952/
Abstract

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- 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.

摘要

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,对特定患者的健康肺动脉树进行了计算流体-结构相互作用(FSI)研究。该统一框架特别适合FSI,因为流体和固体子问题的处理方式基本相同,因此可以用广义方法在时间上进行统一积分。此外,VMS公式为流体子问题中的大涡模拟和固体子问题中的压力稳定提供了一种机制。FSI问题采用准直接方法求解,即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,并将其规定为网格运动的边界条件。给出了肺动脉FSI模拟的结果,并与刚性壁模拟的结果进行了比较。

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