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

An immersed boundary method for the fluid-structure interaction of slender flexible structures in viscous fluid
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DOI:
10.1016/j.jcp.2020.109801
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发表时间:
2020-07
期刊:
J. Comput. Phys.
影响因子:
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通讯作者:
S. Tschisgale;J. Fröhlich
S. Tschisgale;J. Fröhlich
中科院分区:
其他
文献类型:
--
作者:
S. Tschisgale;J. Fröhlich

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本文提出了一种数值方法,专门针对牛顿流体和大量的细长粘弹性Cosserat棒之间的相互作用的流体-结构相互作用的模拟。由于它们的高柔性和低重量,这里考虑的杆即使在中等的流体载荷下也表现出大的挠度。它们的运动反过来又改变了流动,使得流体和结构彼此强烈耦合,这在数值上非常具有挑战性。本文提出了一种新的耦合方法的基础上浸入边界法,改进了现有的方法,这个问题。它是数值稳定的和免除任何全球之间的迭代的流体部分和结构部分,从而产生高稳定性和低计算成本的耦合方案。的贡献提出了基本的方法和算法实现,包括评估的准确性和收敛性的系统研究。各种验证案例说明了所提出的方法的性能和通用性。
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.