论文标题

湍流建模对主动脉缩写中血流模拟的影响

Impact of Turbulence Modeling on the Simulation of Blood Flow in Aortic Coarctation

论文作者

Katz, Sarah, Caiazzo, Alfonso, Moreau, Baptiste, Wilbrandt, Ulrich, Brüning, Jan, Goubergrits, Leonid, John, Volker

论文摘要

主动脉缩写中脉动血流的数值模拟需要使用湍流建模。本文考虑了大型涡模拟(LES)模型(Smagorinsky,Vreman,$ \boldsymbolσ$ -Model)的三个模型和一个有限元元素内变量多尺度模型(基于残差)的模型。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的估计(压力差,继发流动程度,归一化流动位移,壁剪应力)的影响。模拟表明,大多数方法在严重性指标(例如压力差和狭窄速度)方面都是一致的。数值结果表明,二阶速度元素就准确性而优于一阶元素。此外,使用二阶速度有限元素,不同的湍流模型可能会导致有关其他临床相关数量(例如壁剪应力)的结果。这些差异可能归因于湍流模型引入的数值耗散差异。

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, $\boldsymbolσ$-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. The numerical results indicate that second order velocity elements outperform first order elements in terms of accuracy. 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.

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