Numerical simulations of flow-induced vibration on isolated and tandem elliptic cylinders with varying reduced velocities are carried out. Immersed boundary multi-relaxation-time lattice Boltzmann flux solver is used as numerical solution method so that the solution procedure can be conducted in a Cartesian grid. The accuracy and rationality of this method are verified by comparison with previous numerical results. For vortex-induced vibration on isolated elliptical cylinder, numerical simulations are conducted for different aspect ratio (0.7 $\le$ $A_R$ $\le$ 1.5) and reduced velocities (4.0 $\le$ $U_r$ $\le$ 10.0). Vibration response mainly contains desynchronization regime, initial branch and lower branch. When reduced velocity drives to lower branch, transverse amplitude reach to the peak value and double vortex street is formed in the wake. For flow-induced vibration on two elliptical cylinders in a tandem arrangement, numerical simulations are conducted for different aspect ratio (0.7 $\le$ $A_R$ $\le$ 1.5) and reduced velocities (3.0 $\le$ $U_r$ $\le$ 10.0) at gap spacing L/D $=$ 3 and 6. Vibration and flow characteristics are more complex compared with a single elliptical cylinder. The beginnings of entering into lock-in region are delayed for both bluff bodies and vibration response of downstream elliptical cylinder is enhanced by coupling interaction at higher reduced velocity. The flow and vibration characteristics of upstream elliptical cylinder are close to that of single elliptical cylinder at larger gap spacing. The tandem system is beneficial to gain more energy for higher reduced velocity. When downstream elliptical cylinder drives into lower branch, the transverse amplitude is the largest and double vortex street is formed in the wake region.

在减小的速度变化下，在孤立的和串联的椭圆圆柱上进行了由流动引起的振动的数值模拟。浸入式边界多重弛豫时间晶格玻尔兹曼通量求解器用作数值求解方法，以便可以在笛卡尔网格中进行求解。通过与以前的数值结果比较，验证了该方法的准确性和合理性。对于孤立的椭圆圆柱体上的涡激振动，针对不同的长宽比（0.7）进行了数值模拟。$\le$ ${\mathrm{一种}}_{\mathrm{[R}}$ $\le$ 1.5）和降低的速度（4.0 $\le$ ${ü}_{\mathrm{[R}}$ $\le$10.0）。振动响应主要包括失步状态，初始分支和下部分支。当减速驱动到较低的分支时，横向振幅达到峰值，并在尾流中形成双涡流道。对于串联布置的两个椭圆圆柱上的流动引起的振动，针对不同的长宽比（0.7）进行了数值模拟。$\le$ ${\mathrm{一种}}_{\mathrm{[R}}$ $\le$ 1.5）和降低的速度（3.0 $\le$ ${ü}_{\mathrm{[R}}$ $\le$10.0）在间距L / D $=$参见图3和6。与单个椭圆形圆柱体相比，振动和流动特性更为复杂。钝体的进入锁定区域的开始都被延迟，并且下游椭圆形圆柱的振动响应通过以较高的降低的速度进行耦合相互作用而得到增强。上游椭圆形圆柱的流动和振动特性在较大的间隙距离处接近单个椭圆形圆柱的流动和振动特性。串联系统有利于获得更多能量以实现更高的降低速度。当下游椭圆圆柱进入下部分支时，横向振幅最大，在尾流区域形成双涡街。