论文标题

粘性柔性结构在粘性流体中的流体结构相互作用的沉浸边界方法

An immersed boundary method for the fluid-structure interaction of slender flexible structures in viscous fluid

论文作者

Tschisgale, S., Fröhlich, J.

论文摘要

本文提出了一种用于模拟流体结构相互作用的数值方法,专门针对牛顿流体和大量细长的粘弹性粘液棒之间的相互作用定制。由于它们的柔韧性高和重量低,因此即使在适度的流体载荷下,这里考虑的杆也会表现出较大的偏转。反过来,它们的运动会改变流动,从而使流体和结构彼此强烈耦合,这在数字上非常具有挑战性。本文提出了一种基于沉浸式边界方法的新耦合方法,该方法改善了现有方法的现有方法。它在数值上是稳定的,并且可以免于流体部分和结构部分之间的任何全局迭代,从而产生了近距离稳定性和耦合方案的计算成本较低。该贡献介绍了潜在方法及其算法实现,包括通过系统研究评估准确性和收敛性。各种验证案例说明了提出方法的性能和多功能性。

This paper presents a numerical method for the simulation of fluid-structure interaction specifically tailored to interactions between Newtonian fluids and a large number of slender viscoelastic Cosserat rods. Because of their high flexibility and low weight the rods considered here exhibit large deflections, even under moderate fluid loads. Their motion, in turn, modifies the flow so that fluid and structures are strongly coupled to each other which is numerically very challenging. The paper proposes a new coupling approach based on an immersed boundary method which improves upon existing methods for this problem. It is numerically stable and exempt from any global iteration between the fluid part and the structure part, thus yielding high stability and low computational cost of the coupling scheme. The contribution presents the underlying methodology and its algorithmic realization, including an assessment of accuracy and convergence by systematic studies. Various validation cases illustrate performance and versatility of the proposed method.

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