Xu Yousheng, Liu Yang, Xia Yong, Wu Fengmin
Department of Physics, Zhejiang Normal University, Jinhua, Zhejiang 312004, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Oct;78(4 Pt 2):046314. doi: 10.1103/PhysRevE.78.046314. Epub 2008 Oct 27.
A numerical simulation using the multiple relaxation time lattice-Boltzmann method is carried out for the purpose of investigating fluid flow over two vibrating side-by-side circular cylinders and the effect of moving the cylinders on the wake characteristics. As a benchmark problem to assess the validity and efficiency of the model, the calculation was carried out at Reynolds number of 200 and four pitch ratios (T/D , where D is the cylinder diameter while T is the center-to-center spacing between the two cylinders) of 1.2, 1.6, 2.2, and 3.2, respectively. The calculated results indicate that the vibration of the cylinder pair has significant influence on the wake patterns. When the amplitude of vibration is big enough, the vibration locks up the vortex shedding and formation. For each cylinder vibration frequency, there exists a threshold of vibration amplitude for the lock-up phenomenon. With the vibration frequency is increased, the threshold of vibration amplitude decreases.
为了研究并排两个振动圆柱绕流以及圆柱运动对尾流特性的影响，采用多松弛时间格子玻尔兹曼方法进行了数值模拟。作为评估该模型有效性和效率的基准问题，分别在雷诺数为200、四个间距比（T/D，其中D为圆柱直径，T为两圆柱中心距）分别为1.2、1.6、2.2和3.2的条件下进行了计算。计算结果表明，圆柱对的振动对尾流形态有显著影响。当振动幅度足够大时，振动会锁定涡旋脱落和形成。对于每个圆柱振动频率，锁止现象存在一个振动幅度阈值。随着振动频率的增加，振动幅度阈值减小。
