低雷诺数下方柱和圆柱涡致振动的数值分析

Numerical Analysis of Vortex-induced Vibration of Square and Circular Cylinders at Low Reynolds Number

通过数值求解二维不可压粘性流体的N-S方程，研究了方柱和圆柱在低雷诺数（Re＝90～130）下的涡致振动．柱体振动对流体的影响用动网格法模拟，N-S方程采用时步分裂技术先求出中间速度场，再用多重网格法求解泊松方程得到压力场，最后根据压力场对中间速度场进行修正．柱体的振动方程用Newmark-β法求解．通过计算柱体和流体的相互作用，成功地捕捉到了“锁定”和“拍”现象．计算结果与实验结果相当吻合，并和已有的用任意拉格朗日-欧拉公式有限元法计算的结果进行了比较．

Nurnerical analysis of vortex - induced vibration of square and cireular cylinders at low Reynlds number (Re = 90～130) was conducted by solving the Navier - Stokes eopations of viscous incompressible fluid. The influence of the vibration of the cylinder to fluid was simulated by moving - mesh methed. Time step splitting technique was used to calculate N - S equations. The response of cylinder was evaluated by Newh-β methed. Through calculahng the interachon of nuid and cylinder we successfolly captured the' lock - in' and' beat' phenomena. The results agree well with the experiment, and are compared with those of ALE finite element methed.