一种动脉瘤特异性预调技术,用于加速牛顿-克里洛夫法,并用于模拟血液流动
Yingzhi Liu1, Fenfen Qi1, Xiao-Chuan Cai1
1Department of Mathematics, University of Macau, Macau, People's Republic of China.
International journal for numerical methods in biomedical engineering
|September 9, 2023
概括
这项研究引入了一种新的算法和预先条件来模拟动脉瘤中复杂的血液流动. 该方法显著加快了患者特异性动脉模型的模拟.
科学领域:
- 计算流体动力学 计算流体动力学
- 生物医学工程 生物医学工程
- 数字分析 数字分析
背景情况:
- 在动脉瘤中模拟血液流动是计算上具有挑战性的,因为复杂的旋流模式.
- 有效的解决方案对于分析患者特异性动脉几何学的血液动力学至关重要.
研究的目的:
- 开发一种高效的算法来模拟动脉瘤动脉中的血液流动.
- 构建强大的多层次预先条件,以加速线性和非线性解决器的融合.
主要方法:
- 开发了一种新的两级增材施瓦茨法,使用混合维度预条件器.
- 该方法使用3D和1D粗空间和重叠的子域预先条件.
- 使用纳维埃-斯托克斯方程建模血流,用稳定有限元法进行分离.
主要成果:
- 新的预条件器显著减少了线性和非线性代的数量.
- 数字实验表明,患者特定的动脉瘤模型具有很高的有效性和稳定性.
- 预条件器加速牛顿-克里洛夫溶解器,用于复杂的血液流动模拟.
结论:
- 拟议的预条件器为模拟动脉瘤中的血液流动提供了显著的计算效率改善.
- 这种方法有助于在患病动脉中更容易获得和更准确地分析血液动力学.
- 该方法在动脉瘤治疗规划中显示出临床应用的前景.
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