颅内血流动力学模拟：一种高效精确的浸入边界格式
Intracranial hemodynamics simulations: An efficient and accurate immersed boundary scheme
摘要：
计算流体动力学（CFD）研究已越来越多地用于颅内动脉瘤（ICA）的血流模拟。然而，尽管贴体CFD求解器不断进步，生成高质量的网格仍然是CFD模拟的瓶颈，并强烈影响数值解的精度。为了克服这一挑战，这将允许对大量动脉瘤病例进行有效的CFD模拟，我们使用浸没边界（IB）方法。该方案依赖于笛卡尔网格来求解不可压缩的Navier-Stokes（N-S）方程，使用有限元求解器，和拉格朗日点来离散浸没物体。所有网格生成都是通过自动算法进行的，不需要用户输入。因此，我们通过比较我们的数值结果（速度值）与发表的实验结果，验证了所提出的方法。最后，我们测试了该计划的能力，有效地处理复杂的几何形状上的四个患者特定的颅内动脉瘤样本的血流动力学模拟。
英文摘要：
Computational fluid dynamics (CFD) studies have been increasingly used for blood flow simulations in intracranial aneurysms (ICAs). However, despite the continuous progress of body-fitted CFD solvers, generating a high quality mesh is still the bottleneck of the CFD simulation, and strongly affects the accuracy of the numerical solution. To overcome this challenge, which will allow preforming CFD simulations efficiently for a large number of aneurysm cases we use an Immersed Boundary (IB) method. The proposed scheme relies on Cartesian grids to solve the incompressible Navier-Stokes (N-S) equations, using a finite element solver, and Lagrangian points to discretize the immersed object. All grid generations are conducted through automated algorithms which require no user input. Consequently, we verify the proposed method by comparing our numerical findings (velocity values) with published experimental results. Finally, we test the ability of the scheme to efficiently handle hemodynamic simulations on complex geometries on a sample of four patient-specific intracranial aneurysms.
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