一种基于样条的六面体网格生成器，用于患者特定的冠状动脉
A spline-based hexahedral mesh generator for patient-specific coronary arteries
AI总结：
本文提出了一种基于样条的六面体网格生成器，用于患者特定的冠状动脉，通过样条描述、Hermite曲线建模等创新技术，实现了对狭窄、动脉瘤及非平面分叉的精确网格划分，并在生理边界条件下验证了其在血流动力学模拟中的有效性。
摘要：
本文提出了一种基于样条的六面体网格生成器，适用于血流动力学研究中常见的管状几何结构，特别是冠状动脉。我们专注于对具有狭窄和动脉瘤的血管以及非平面分叉进行精确网格划分的技术。我们的方法结合了几项创新，包括在径向和纵向上对血管几何结构进行基于样条的描述，使用Hermite曲线对非平面分叉进行建模，以及对非平面n个相交分支的推广。该方法无需具体的血管表面、网格平滑和其他后处理。我们还提出了一种生成具有边界层的网格的技术。我们使用常用的质量指标验证生成的网格，将其与最先进的网格生成器进行比较，并将我们的方法应用于复杂的冠状动脉树。最后，我们在生理边界条件下进行了有限元流体流动模拟。为了验证所提出的框架，我们还进行了基于壁面剪切应力的收敛测试和血流动力学指标的计算。
英文摘要：
This paper presents a spline-based hexahedral mesh generator for tubular geometries commonly encountered in haemodynamics studies, in particular coronary arteries. We focus on techniques for accurately meshing vessels with stenoses and aneurysms, as well as non-planar bifurcations. Our approach incorporates several innovations, including a spline-based description of the vessel geometry in both the radial and the longitudinal directions, the use of Hermite curves for modeling non-planar bifurcations, and a generalization to non-planar n intersecting branches. This method eliminates the need for a concrete vessel surface, grid smoothing, and other post-processing. A technique to generate grids with boundary layers is also presented. We validate the generated meshes using commonly employed quality indices, compare them against state-of-the-art mesh generators and apply our method to complex coronary trees. Finally, we present finite element fluid flow simulations with physiological boundary conditions. To validate the proposed framework, a wall-shear-stress-based convergence test and computations of haemodynamic indices are also presented.
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