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A fully implicit combined field scheme for freely vibrating square cylinders with sharp and rounded corners

机译：一种完全隐式组合场方案，用于自由振动带有尖角和圆角的方筒

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We present a fully implicit combined field scheme based on Petrov-Galerkin formulation for fluid-body interaction problems. The motion of the fluid domain is accounted by an arbitrary Lagrangian-Eulerian (ALE) strategy. The combined field scheme is more efficient than conventional monolithic schemes as it decouples the computation of ALE mesh position from the fluid-body variables. The effect of corner rounding is studied in two-dimensions for stationary as well as freely vibrating square cylinders. The cylinder shapes considered are: square with sharp corners, circle and four intermediate rounded squares generated by varying a single rounding parameter. Rounding of the corners delays the primary separation originating from the cylinder base. The secondary separation, seen solely for the basic square along its lateral edges, initiates at a Reynolds number, Re between 95 and 100. Imposition of blockage lowers the critical Re marking the onset of secondary separation. For free vibrations without damping, Re range is 100-200 and mass ratio, m* of each cylinder is 10. The rounded cylinders undergo vortex-induced motion alone whereas motion of the basic square is vortex-induced at low Re and galloping at high Re. The flow is periodic for vortex-induced motion and quasi-periodic for galloping. The lower branch and desynchronization characterize the response of rounded cylinders. For the square cylinder, the components of response are the lower branch, desynchronization and galloping. Removal of the sharp corners of square cylinder drastically alters the flow and vibration characteristics. (C) 2015 Elsevier Ltd. All rights reserved,
机译：我们提出了基于Petrov-Galerkin公式的完全隐式组合场方案，以解决流固耦合问题。流体域的运动由任意的拉格朗日-欧拉（ALE）策略解释。组合场方案比传统的整体方案更有效率，因为它使ALE网格位置的计算与流体变量解耦。对于固定和自由振动的方筒，均以二维方式研究了圆角的影响。所考虑的圆柱形状为：具有尖角的正方形，圆形和通过更改单个舍入参数生成的四个中间舍入的正方形。拐角的倒圆延迟了源自汽缸底部的主分离。仅在基本正方形沿其横向边缘看到的二次分离起始于雷诺数Re在95和100之间。强加阻塞会降低临界Re，标志着二次分离的开始。对于没有阻尼的自由振动，Re范围为100-200，质量比，每个圆柱体的m *为10。圆形圆柱体仅经历涡流诱导的运动，而基本正方形的运动在Re较低时发生涡流，而在高Re时则产生舞动回覆。对于涡流引起的运动，该流是周期性的，对于舞动，该流是准周期性的。下部分支和失步是圆形圆柱体的响应特征。对于方圆柱体，响应的组成部分是下部分支，失步和疾驰。去除方形圆柱体的尖角会极大地改变流量和振动特性。 （C）2015 Elsevier Ltd.保留所有权利，

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