基于浸入边界算法的振动二维矩形柱绕流模拟研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (14) : 254-261.

论文

杨青1，曹曙阳2，周军文3

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Numerical simulation on the flow around an oscillating twodimensinoal rectangular cylinder based on the immersed boundary method

YANG Qing¹， CAO Shuyang²， ZHOU Junwen³

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文章历史 +

摘要

文章利用浸入边界算法，编写出可在静止网格中计算动边界绕流问题的数值模拟程序，对竖向正弦强迫振动矩形柱（Re=UD/v=103、振幅恒定、边长比B/D=1、3、5）展开绕流模拟，以探究边长比效应对矩形柱气动特性的影响。研究发现：柱体锁定区随边长比增大而发生变化，在B/D=3时，出现多级锁定现象；不同边长比矩形柱运动均会抑制同方向涡的产生；由于流动再附，B/D=3、5时，矩形柱侧面压力分布出现曲线特征；振动频率越高，柱体侧面前缘负压特征越明显，其侧面压力曲线分布特征亦同时增强；不同边长比矩形柱阻力系数均在接近自然涡脱频率处发生峰值效应。

Abstract

The immersed boundary method (IBM) was adopted to compile a program to compute the moving boundary on a stable grid. The numerical simulation on the flow around a forced transversal sinusoidal oscillating rectangular cylinder (Re=UD/v=103, constant oscillating amplitude, side ratio B/D=1，3，5) was carried out to investigate the influence of side ratio on the aerodynamic characteristics of the cylinder. The results indicate that the length of lockin region changes with the varying of side ratio. When the side ratio B/D=3, the synchronization zone is classified into two stages. The fluid flow near the surface in the direction consisting with the direction of cylinder displacement is suppressed by the motion of rectangular cylinder, which is a common flow feature near border， in all the three side ratio cases. When the side ratio B/D=3~5, the curve characteristic of mean pressure distribution appears on the lateral surface of rectangular cylinder because of the flow reattachment. The negative surface pressure on the leading corner will become larger at high oscillating frequency. The mean drag coefficient in the three cases (B/D=1, 3, 5) all reaches its peak value near the natural vortex frequency under stable condition.

关键词

浸入边界算法 / 振动矩形柱 / 边长比 / 锁定区 / 表面压力

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杨青1，曹曙阳2，周军文3. 基于浸入边界算法的振动二维矩形柱绕流模拟研究[J]. 振动与冲击, 2018, 37(14): 254-261

YANG Qing1， CAO Shuyang2， ZHOU Junwen3. Numerical simulation on the flow around an oscillating twodimensinoal rectangular cylinder based on the immersed boundary method[J]. Journal of Vibration and Shock, 2018, 37(14): 254-261

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