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湍流模型对主动脉缩窄血流模拟的影响。

Impact of turbulence modeling on the simulation of blood flow in aortic coarctation.

机构信息

Numerical Mathematics and Scientific Computing Research Group, Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany.

Deutsches Herzzentrum der Charité, Institute of Computer-assisted Cardiovascular Medicine, Charité - Universitätsmedizin Berlin, corporate member of Freie Universität Berlin and Humboldt Universität zu Berlin, Berlin, Germany.

出版信息

Int J Numer Method Biomed Eng. 2023 May;39(5):e3695. doi: 10.1002/cnm.3695. Epub 2023 Mar 13.

Abstract

Numerical simulations of pulsatile blood flow in an aortic coarctation require the use of turbulence modeling. This paper considers three models from the class of large eddy simulation (LES) models (Smagorinsky, Vreman, -model) and one model from the class of variational multiscale models (residual-based) within a finite element framework. The influence of these models on the estimation of clinically relevant biomarkers used to assess the degree of severity of the pathological condition (pressure difference, secondary flow degree, normalized flow displacement, wall shear stress) is investigated in detail. The simulations show that most methods are consistent in terms of severity indicators such as pressure difference and stenotic velocity. Moreover, using second-order velocity finite elements, different turbulence models might lead to considerably different results concerning other clinically relevant quantities such as wall shear stresses. These differences may be attributed to differences in numerical dissipation introduced by the turbulence models.

摘要

数值模拟主动脉缩窄中的脉动血流需要使用湍流建模。本文在有限元框架内考虑了三类大涡模拟(LES)模型(Smagorinsky、Vreman、-模型)和一类变分多尺度模型(基于残差的模型)。研究了这些模型对用于评估病理状况严重程度的临床相关生物标志物(压差、二次流程度、归一化流量位移、壁面切应力)估计的影响。模拟结果表明,大多数方法在压差和狭窄速度等严重程度指标方面是一致的。此外,使用二阶速度有限元,不同的湍流模型可能会导致其他与临床相关的数量(如壁面切应力)的结果存在显著差异。这些差异可能归因于湍流模型引入的数值耗散的差异。

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