ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling

ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling
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用于患者特定心血管流体力学建模的 ST 和 ALE-VMS 方法

DOI:
10.1142/s0218202514500250
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发表时间:
2014
影响因子:
3.5
通讯作者:
and K. Schjodt
and K. Schjodt
中科院分区:
数学1区
文献类型:
--
作者:
K. Takizawa;Y. Bazilevs;T.E. Tezduyar;C.C. Long;A.L. Marsden;and K. Schjodt

文献摘要

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本文综述了前三位作者的研究小组开发的用于患者特异性心血管流体力学建模的时空(ST)和任意拉格朗日-欧拉(ALE)技术,包括流固耦合(FSI)。核心方法是基于ale的变分多尺度(ALE-VMS)方法、变形-空域/稳定ST公式和稳定ST FSI技术。许多针对心血管流体力学的特殊技术已被开发出来与核心方法相结合。这些包括:(i)动脉表面提取和边界条件技术,(ii)使用可变动脉壁厚度的技术,(iii)计算估计零压力动脉几何形状的方法,(iv)血管壁预应力技术,(v)在动脉壁附近构建精细流体力学网格层的网格生成技术,(vi)用于指定非圆形流入边界速度剖面的特殊映射技术,(vii)指定更真实的体积流速的缩放技术,(viii)流固界面应力投影技术,(ix)改善FSI计算收敛性的FSI前计算方法,(x)顺序耦合动脉FSI技术及其多尺度版本,(xi)壁面剪切应力(WSS)和振荡剪切指数(OSI)的计算技术,(xii)支架建模和网格生成方法,(xiii)计算颗粒停留时间的方法,(xiv)估计动脉基于单元的零应力状态的方法。在这里,我们概述了WSS和OSI计算、支架建模和网格生成以及应用于搏动心室辅助装置(PVAD)的停留时间计算的特殊技术。我们为其他一些特殊技术提供了参考。通过早期计算的结果,我们将展示这些核心和特殊技术是如何工作的。
This paper provides a review of the space–time (ST) and Arbitrary Lagrangian–Eulerian (ALE) techniques developed by the first three authors' research teams for patient-specific cardiovascular fluid mechanics modeling, including fluid–structure interaction (FSI). The core methods are the ALE-based variational multiscale (ALE-VMS) method, the Deforming-Spatial-Domain/Stabilized ST formulation, and the stabilized ST FSI technique. A good number of special techniques targeting cardiovascular fluid mechanics have been developed to be used with the core methods. These include: (i) arterial-surface extraction and boundary condition techniques, (ii) techniques for using variable arterial wall thickness, (iii) methods for calculating an estimated zero-pressure arterial geometry, (iv) techniques for prestressing of the blood vessel wall, (v) mesh generation techniques for building layers of refined fluid mechanics mesh near the arterial walls, (vi) a special mapping technique for specifying the velocity profile at an inflow boundary with non-circular shape, (vii) a scaling technique for specifying a more realistic volumetric flow rate, (viii) techniques for the projection of fluid–structure interface stresses, (ix) a recipe for pre-FSI computations that improve the convergence of the FSI computations, (x) the Sequentially-Coupled Arterial FSI technique and its multiscale versions, (xi) techniques for calculation of the wall shear stress (WSS) and oscillatory shear index (OSI), (xii) methods for stent modeling and mesh generation, (xiii) methods for calculation of the particle residence time, and (xiv) methods for an estimated element-based zero-stress state for the artery. Here we provide an overview of the special techniques for WSS and OSI calculations, stent modeling and mesh generation, and calculation of the residence time with application to pulsatile ventricular assist device (PVAD). We provide references for some of the other special techniques. With results from earlier computations, we show how these core and special techniques work.