错列角度对双圆柱涡激振动影响的数值模拟研究

段松长; 赵西增; 叶洲腾; 王凯鹏

doi:10.6052/0459-1879-17-345

错列角度对双圆柱涡激振动影响的数值模拟研究

浙江大学海洋学院,浙江舟山 316021

详细信息

作者简介:
null

作者简介：2) 赵西增，教授，主要研究方向：波浪和建筑物的相互作用. E-mail: xizengzhao@zju.edu.cn

中图分类号: P751,TB531;
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出版历程
- 收稿日期: 2017-10-17
- 刊出日期: 2018-03-17

NUMERICAL STUDY OF STAGGERED ANGLE ON THE VORTEX-INDUCED VIBRATION OF TWO CYLINDERS

Ocean College, Zhejiang University, Zhoushan 316021, Zhejiang,China

摘要

摘要: 为研究错列角度 $α$ 对双圆柱涡激振动问题的影响,采用自主研发的基于CIP (constrained interpolation profile)方法的数值模型,对雷诺数 $Re = 100$ 、错列角度 $α = 0^{°} ~ 9 0^{°}$ (间隔15 #x00B0;)的等直径双圆柱涡激振动问题进行数值模拟. 模型在笛卡尔网格系统下建立,采用具有三阶精度的 CIP 方法求解 N-S (Navier--Stokes)方程,采用浸入边界法处理流--固耦合问题,避免了任意拉欧方法下的网格畸变和重叠动网格技术中的大量信息交换问题,保证了模型的计算效率. 重点分析不同错列角度 $α$ 上下游圆柱的升阻力系数、位移响应、涡脱频率和尾涡模态等. 结果表明：折合速度 $U_{r} = 2.0 ~ 3.0$ 时,上下游圆柱升阻力随错列角度的增大基本呈单调增大的趋势; $U_{r} = 5.0 ~ 8.0$ 时,随错列角度的增大,上下游圆柱阻力变化较小,升力呈“上凸”趋势,在 $α = 1 5^{°} ~ 3 0^{°}$ 取得最大值; $U_{r} = 10.0 ~ 13.0$ 时,随错列角度的增大,上下游圆柱阻力变化较小,升力呈“下凹”趋势,在 $α = 3 0^{°} ~ 4 5^{°}$ 取得最小值,且柱体横流向振幅和升力没有明显的对应关系. 最后,结合尾涡模态对以上规律的成因进行分析. 研究结果可为相关海洋工程设计提供参考.
- 错列双圆柱 /
- 错列角度 /
- CIP 方法 /
- 涡激振动 /
- Navier-Stokes 方程 /
- 浸入边界法
Abstract: The vortex-induced vibration of two cylinders with the effect of the stagger angle is studied numerically. A finite difference model based on an in-house code named CIP (constraint interpolation profile) is utilized. The model is built on a Cartesian coordinate system, with the Navier-Stokes equation solved by a third-order accuracy CIP method. The fluid-structure interaction is modelled by an immersed boundary method. Based on the CIP model, two-dimensional flow past two equal-sized circular cylinders placed at Reynolds number ( $Re = 100$ ) with different stagger angle ( $α = 0^{°} ~ 9 0^{°}$ with a 15 #x00B0; interval) is investigated. Main attention has been paid to the lift coefficient, drag coefficient, displacement response, vortex-shedding frequency and wake pattern of both cylinders. The results show that the drag coefficient and lift coefficient of both cylinders increase monotonically as the stagger angle increases when reduced velocity $U_{r} = 2.0 ~ 3.0$ . For reduced velocity $U_{r} = 5.0 ~ 8.0$ , with the increase of stagger angle, the drag coefficient of both cylinders changes slightly and the lift coefficient of both cylinders presents a “convex-like” trend and reaches maximum value at $α = 1 5^{°} ~ 3 0^{°}$ . In the case of reduced velocity $U_{r} = 10.0 ~ 13.0$ , with the increase of stagger angle, the drag coefficient of both cylinders also displays little change and the lift coefficients of both cylinders show a “concave-like” trend and reach minimum value at $α = 3 0^{°} ~ 4 5^{°}$ . However, there is no obvious correspondence between the transverse oscillation amplitude and lift coefficient of cylinder as $U_{r} = 10.0 ~ 13.0$ . Finally, the wake pattern of both cylinders is analyzed to explain above phenomenon. Above all, the present result could be helpful to the structure design of ocean engineering.
- staggered cylinders /
- stagger angle /
- CIP method /
- vortex-induced vibration /
- Navier-Stokes equation /
- immersed boundary method

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