Fluid–structure interaction (FSI) incorporates effects of fluid flows on deformable solids and vice versa. Complex biomedical problems in clinical applications continue to challenge numerical algorithms, as incorporating the underlying mathematical methods can impair the solvers’ performance drastically. In this regard, we extend a semi-implicit, pressure Poisson-based FSI scheme for non-Newtonian fluids to incorporate several models crucial for biomechanical applications. We consider Windkessel outlets to account for neglected downstream flow regions, realistic material fibre orientation and stressed reference geometries reconstructed from medical image data. Additionally, we incorporate vital numerical aspects, namely, stabilisations to counteract dominant convective effects and instabilities triggered by re-entrant flow, while a major contribution of this work is combining interface quasi-Newton methods with Robin coupling conditions to accelerate the partitioned (semi-)implicit coupling scheme. The numerical examples presented herein aim to finally bridge the gap to real-world applications, considering state-of-the-art modelling aspects and physiological parameters. FSI simulations of blood flow in an iliac bifurcation derived from medical images and vocal folds deforming in the process of human phonation demonstrate the versatility of the framework.

流固耦合 (FSI) 包含流体流动对可变形固体的影响，反之亦然。临床应用中的复杂生物医学问题继续挑战数值算法，因为结合基础数学方法会极大地损害求解器的性能。在这方面，我们为非牛顿流体扩展了基于压力泊松的半隐式 FSI 方案，以包含对生物力学应用至关重要的几个模型。我们考虑 Windkessel 出口来解释被忽视的下游流动区域、真实的材料纤维取向和从医学图像数据重建的应力参考几何形状。此外，我们还结合了重要的数值方面，即稳定以抵消主要对流效应和由重入流触发的不稳定性，而这项工作的主要贡献是将接口准牛顿方法与 Robin 耦合条件相结合，以加速分区（半）隐式耦合方案。考虑到最先进的建模方面和生理参数，此处提供的数值示例旨在最终弥合与实际应用的差距。从医学图像和人类发声过程中声带变形衍生的髂分叉血流的 FSI 模拟证明了该框架的多功能性。考虑最先进的建模方面和生理参数。从医学图像和人类发声过程中声带变形衍生的髂分叉血流的 FSI 模拟证明了该框架的多功能性。考虑最先进的建模方面和生理参数。从医学图像和人类发声过程中声带变形衍生的髂分叉血流的 FSI 模拟证明了该框架的多功能性。