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首页> 外文期刊>Journal of Computational Physics >Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
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Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow

机译:稳定的血流耦合作用的松耦合算法

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摘要

We introduce a novel loosely coupled-type algorithm for fluid-structure interaction between blood flow and thin vascular walls. This algorithm successfully deals with the difficulties associated with the "added mass effect", which is known to be the cause of numerical instabilities in fluid-structure interaction problems involving fluid and structure of comparable densities. Our algorithm is based on a time-discretization via operator splitting which is applied, in a novel way, to separate the fluid sub-problem from the structure elastodynamics sub-problem. In contrast with traditional loosely-coupled schemes, no iterations are necessary between the fluid and structure sub-problems; this is due to the fact that our novel splitting strategy uses the "added mass effect" to stabilize rather than to destabilize the numerical algorithm. This stabilizing effect is obtained by employing the kinematic lateral boundary condition to establish a tight link between the velocities of the fluid and of the structure in each sub-problem. The stability of the scheme is discussed on a simplified benchmark problem and we use energy arguments to show that the proposed scheme is unconditionally stable. Due to the crucial role played by the kinematic lateral boundary condition, the proposed algorithm is named the "kinematically coupled scheme".
机译:我们介绍了一种新颖的松耦合类型算法,用于血流和薄血管壁之间的流体-结构相互作用。该算法成功地解决了与“附加质量效应”相关的困难,众所周知,这是涉及密度可比较的流体和结构的流固耦合问题中数值不稳定的原因。我们的算法基于通过算子分裂的时间离散化,该算法以一种新颖的方式应用于将流体子问题与结构弹性动力学子问题分开。与传统的松耦合方案相比,在流体和结构子问题之间无需进行迭代。这是由于以下事实:我们新颖的拆分策略使用“附加质量效应”来稳定而不是破坏数值算法的稳定性。通过采用运动学的横向边界条件在每个子问题中的流体速度与结构速度之间建立紧密联系,可以获得这种稳定效果。在简化的基准问题上讨论了该方案的稳定性,并使用能量论证表明该方案是无条件稳定的。由于运动学的横向边界条件起着至关重要的作用,该算法被称为“运动学耦合方案”。

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