论文标题
使用减少的血管流体结构相互作用的统一连续性配方对腹主动脉瘤血液动力学的数值研究
Numerical investigation of abdominal aortic aneurysm hemodynamics using the reduced unified continuum formulation for vascular fluid-structure interaction
论文作者
论文摘要
我们最近证明了通过与血管壁有关的三个声音建模假设,将统一的连续体和变异多尺度公式降低为计算有效的流体结构相互作用(FSI)。类似于Figueroa等人引入的耦合动量方法,所得的半分化配方产生的单层耦合FSI系统在Eulerian的参考框架中构成,仅对流体边界积分进行了较小的修改。为了实现统一的二阶时间准确性和用户控制的高频算法阻尼,我们采用了广义 - $α$方法,用于整个耦合系统的均匀时间离散化。结合完全一致的,分离的预测指标多校正算法,该算法在隐式求解器相关的线性系统中保留了不可压缩的Navier-Stokes方程的块结构,采用了三级嵌套块预处理程序,以改善Schur架构的表示。在这项工作中,我们将简化的统一连续公式应用于适当预应力的患者特异性腹部主动脉瘤,并研究壁性能不同空间分布对血液动力学和血管壁的影响的影响。
We recently demonstrated the reduction of the unified continuum and variational multiscale formulation to a computationally efficient fluid-structure interaction (FSI) formulation via three sound modeling assumptions pertaining to the vascular wall. Similar to the coupled momentum method introduced by Figueroa et al., the resulting semi-discrete formulation yields a monolithically coupled FSI system posed in an Eulerian frame of reference with only a minor modification of the fluid boundary integral. To achieve uniform second-order temporal accuracy and user-controlled high-frequency algorithmic damping, we adopt the generalized-$α$ method for uniform temporal discretization of the entire coupled system. In conjunction with a fully consistent, segregated predictor multi-corrector algorithm preserving the block structure of the incompressible Navier-Stokes equations in the implicit solver's associated linear system, a three-level nested block preconditioner is adopted for improved representation of the Schur complement. In this work, we apply our reduced unified continuum formulation to an appropriately prestressed patient-specific abdominal aortic aneurysm and investigate the effects of varying spatial distributions of wall properties on hemodynamic and vascular wall quantities of interest.