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A non-iterative mathematical description of three-dimensional bifurcation geometry for biofluid simulations

机译:用于生物流体模拟的三维分叉几何结构的非迭代数学描述

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摘要

We propose a mathematical model to describe the three-dimensional bifurcation geometry for airway flow simulations. The numerical scheme is explicit, non-iterative, and therefore stable and efficient. In addition, our model successfully reproduces the characteristic cross-sectional shape transition (from circular, to flattened elliptical, and then to 8-like shapes) across a bifurcation as observed in anatomical examinations. Several examples with various bifurcation parameters are presented, and these examples demonstrate the capacity and usefulness of our work in airway flow and transport simulations. The model developed here may also be useful for blood flow simulations and experimental model design.
机译:我们提出了一个数学模型来描述气道流动模拟的三维分叉几何。数值方案是显式的,非迭代的,因此是稳定且有效的。此外,我们的模型成功地再现了解剖检查中观察到的分叉处的典型横截面形状过渡(从圆形,扁平的椭圆形再到8形)。给出了具有不同分叉参数的几个示例,这些示例说明了我们在气道流量和运输模拟中的工作能力和实用性。这里开发的模型对于血流模拟和实验模型设计也可能有用。

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