Suitability of lattice Boltzmann inlet and outlet boundary conditions for simulating flow in image-derived vasculature.
Suitability of lattice Boltzmann inlet and outlet boundary conditions for simulating flow in image-derived vasculature.
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DOI：
10.1002/cnm.3198
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发表时间：
2019-06
影响因子：
2.1
通讯作者：
Randles A
中科院分区：
文献类型：
--
作者：
Feiger B;Vardhan M;Gounley J;Mortensen M;Nair P;Chaudhury R;Frakes D;Randles A
格子玻尔兹曼方法（LBM）是求解Navier-Stokes方程的一种流行的替代方法，用于模拟血流。当使用LBM模拟流动时，入口和出口边界条件存在多种选择。虽然LBM中的边界条件已在理想化几何结构中进行了评价，但在几何结构高度复杂的图像衍生血管系统中尚未进行广泛比较。在本研究中，通过比较Zou-He（ZH）和有限差分（FD）边界条件的稳定性、准确性和运行时间，在图像导出的血管几何结构中对其进行了评价。在四个动脉中比较边界条件：主动脉缩窄、夹层主动脉、股动脉和左冠状动脉。FD边界条件在所有四种几何形状下都比ZH更稳定。在一般情况下，使用ZH和FD方法的模拟显示出类似的收敛速度在每个几何形状。然而，ZH方法被证明比使用三维打印脉管系统的实验流稍微更准确。使用ZH边界条件进行模拟所需的总运行时间明显更高，因为ZH方法需要更大的弛豫时间、网格分辨率和时间步长数，用于表示相同生理时间的模拟。最后，提出了一种适用于复杂几何形状进气道的速度分布算法。总体而言，结果表明，FD方法通常应用于图像衍生血管几何结构中的大规模血流模拟。这项研究可以作为有兴趣使用LBM来模拟血液流动的研究人员的指导。
The lattice Boltzmann method (LBM) is a popular alternative to solving the Navier-Stokes equations for modeling blood flow. When simulating flow using the LBM, several choices for inlet and outlet boundary conditions exist. While boundary conditions in the LBM have been evaluated in idealized geometries, there have been no extensive comparisons in image-derived vasculature, where the geometries are highly complex. In this study, the Zou-He (ZH) and finite difference (FD) boundary conditions were evaluated in image-derived vascular geometries by comparing their stability, accuracy, and run times. The boundary conditions were compared in four arteries: a coarctation of the aorta, dissected aorta, femoral artery, and left coronary artery. The FD boundary condition was more stable than ZH in all four geometries. In general, simulations using the ZH and FD method showed similar convergence rates within each geometry. However, the ZH method proved to be slightly more accurate compared with experimental flow using three-dimensional printed vasculature. The total run times necessary for simulations using the ZH boundary condition were significantly higher as the ZH method required a larger relaxation time, grid resolution, and number of time steps for a simulation representing the same physiological time. Finally, a new inlet velocity profile algorithm is presented for complex inlet geometries. Overall, results indicated that the FD method should generally be used for large-scale blood flow simulations in image-derived vasculature geometries. This study can serve as a guide to researchers interested in using the LBM to simulate blood flow.
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DOI：
10.1002/cnm.2535
发表时间：
2013-02-01
影响因子：
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作者：
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发表时间：
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影响因子：
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通讯作者：
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DOI：
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发表时间：
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期刊：
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影响因子：
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作者：
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