Numerical Simulations of Flows in a Cerebral Aneurysm Using the Lattice Boltzmann Method with the Half-Way and Interpolated Bounce-Back Schemes

Numerical Simulations of Flows in a Cerebral Aneurysm Using the Lattice Boltzmann Method with the Half-Way and Interpolated Bounce-Back Schemes
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DOI:
10.3390/fluids6100338
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发表时间:
2021-09
期刊:
影响因子:
1.9
通讯作者:
S. Osaki;Kosuke Hayashi;H. Kimura;Takeshi Seta;T. Sasayama;A. Tomiyama
S. Osaki;Kosuke Hayashi;H. Kimura;Takeshi Seta;T. Sasayama;A. Tomiyama
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文献类型:
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作者:
S. Osaki;Kosuke Hayashi;H. Kimura;Takeshi Seta;T. Sasayama;A. Tomiyama

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对从实际动脉瘤的MRA(magnetic resonance angiography)图像重建的脑动脉瘤内的流动进行了格子Boltzmann模拟和速度测量,并将使用反弹格式获得的数值结果与实验数据进行了比较,以讨论动脉瘤复杂边界形状的无滑移边界条件的数值处理对预测的影响。得出的结论如下:(1)获得了动脉瘤模型中速度的实测数据,为数值方法的验证提供了依据;(2)在脑动脉瘤的流动模拟中,二次插值回弹格式(QBB)的数值稳定性低于半程回弹格式(HBB)和线性插值回弹格式(LBB),(3)用HBB和LBB预测的流动结构与实验数据具有可比性,吻合较好;(4)壁面切应力(WSS)的波动,即,振荡剪切指数(OSI)可以很好地预测,即使用锯齿状壁表示的HBB,而WSS的大小预测与HBB往往小于LBB。
Lattice Boltzmann simulations and a velocity measurement of flows in a cerebral aneurysm reconstructed from MRA (magnetic resonance angiography) images of an actual aneurysm were carried out and the numerical results obtained using the bounce-back schemes were compared with the experimental data to discuss the effects of the numerical treatment of the no-slip boundary condition of the complex boundary shape of the aneurysm on the predictions. The conclusions obtained are as follows: (1) measured data of the velocity in the aneurysm model useful for validation of numerical methods were obtained, (2) the numerical stability of the quadratic interpolated bounce-back scheme (QBB) in the flow simulation of the cerebral aneurysm is lower than those of the half-way bounce-back (HBB) and the linearly interpolated bounce-back (LBB) schemes, (3) the flow structures predicted using HBB and LBB are comparable and agree well with the experimental data, and (4) the fluctuations of the wall shear stress (WSS), i.e., the oscillatory shear index (OSI), can be well predicted even with the jaggy wall representation of HBB, whereas the magnitude of WSS predicted with HBB tends to be smaller than that with LBB.