论文标题

多体系统的流体结构相互作用:方法和应用

Fluid-structure interaction of multi-body systems: Methodology and applications

论文作者

Arranz, Gonzalo, Martínez-Muriel, Cayetano, Flores, Oscar, García-Villalba, Manuel

论文摘要

我们提出了一种计算多体系统流体结构相互作用问题的方法。流体流动方程是使用分数方法的求解的,该方法具有Uhlmann提出的浸没边界方法[J. [J.计算物理。 209(2005)448]。使用Felis提出的递归算法来求解刚体的方程。机器人41(2017)495]。方程式两个系统的耦合较弱,因此所得的方法具有成本效益。通过与文献中的二维情况和三维情况进行比较,可以证明该方法的准确性:柔性机翼的拍打,凹陷的柔性板的自我推向以及在自由流中的旗帜拍打。为了说明所提出方法的功能,提出了两个三维生物启发的应用:扩展到陷入困境的柔性板的三个维度和一个简单的蜘蛛气球模型。

We present a method for computing fluid-structure interaction problems for multi-body systems. The fluid flow equations are solved using a fractional-step method with the immersed boundary method proposed by Uhlmann [J. Comput Phys. 209 (2005) 448]. The equations of the rigid bodies are solved using recursive algorithms proposed by Felis [Auton. Robot 41 (2017) 495]. The two systems of equations are weakly coupled so that the resulting method is cost-effective. The accuracy of the method is demonstrated by comparison with two- and three-dimensional cases from the literature: the flapping of a flexible airfoil, the self-propulsion of a plunging flexible plate, and the flapping of a flag in a free stream. As an illustration of the capabilities of the proposed method, two three-dimensional bio-inspired applications are presented: an extension to three dimensions of the plunging flexible plate and a simple model of spider ballooning.

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