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首页> 外文期刊>Applied Mathematical Modelling >Numerical simulation of flow-induced vibration of two cylinders elastically mounted in tandem by immersed moving boundary method
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Numerical simulation of flow-induced vibration of two cylinders elastically mounted in tandem by immersed moving boundary method

机译：通过浸入的移动边界法缠绕在串联中弹性振动的流动振动的数值模拟

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A numerical study is performed on flow-induced vibrations of two cylinders of diameter D, in tandem configuration relative to the free-stream uniform flow U at low Reynolds numbers Re = UD/ν. In order to solve numerically the incompressible momentum and continuity equations, the in-house code Incompact3D is used. Compact sixth-order finite differences for spatial differentiation and second-order Adams-Bashforth scheme for time advancement are employed. The cylinders movement is modeled as a mass-damper-spring system which is solved by a fourth-order Runge-Kutta scheme. To represent the multiple moving cylinders in an immersed boundary method framework, a modification in the Poisson equation is proposed. The modified algorithm was evaluated and applied for scenarios with zero, one and two translational degrees of freedom to oscillate. The validation is carried out against several numerical and experimental previous works. The results are analyzed in terms of the forces on cylinders, Strouhal number of the wake, streamwise velocity profiles and cylinders oscillation amplitudes and frequencies. The algorithm could satisfactorily represent the resonance and wake-flutter phenomena. In the most cases, the rear cylinder has greater oscillations than the front cylinder. However, a state was identified where the cross-stream oscillation amplitudes of the front cylinder are lower than those of the rear cylinder. In this state, the lift force acts as negative spring on the front cylinder (amplifying its oscillations) and as a damper on the rear cylinder (controlling its oscillations). The scenarios with two degrees of freedom (2dof) have higher oscillation amplitudes than the equivalent scenarios with one degree of freedom. Moreover, the stream-wise oscillation amplitudes are not negligible in relation to the cross-stream oscillation amplitudes. On the other hand, for 2dof, when the Reynolds number increases the clashing risk also increases, since the cylinders proximity is narrowed.
机译：对直径D的两个圆柱体的流动振动进行了数值研究，其串联配置相对于低雷诺数RE = UD /α。为了在数值上求解不可压缩的动力和连续性方程，使用内部代码不兼容3D。采用紧凑的第六阶有限公司的空间区分和二阶ADAMS-BASHFORSH计划，用于时间进步。气缸运动被建模为质量阻尼弹簧系统，该系统由四阶行轨-Kutta方案解决。为了代表浸没的边界法框架中的多个移动气缸，提出了泊松方程中的修改。评估修改的算法，并应用于零的零，一个和两个平移自由度的场景。验证是针对几个数值和实验的先前作品进行的。在汽缸上的力，唤醒，流动速度谱和汽缸振荡幅度和频率的速率下分析结果。该算法可以令人满意地代表谐振和唤醒颤动现象。在大多数情况下，后筒具有比前筒更大的振荡。然而，鉴定了前筒的交叉流振荡幅度低于后筒的横流振荡幅度。在这种状态下，提升力用作前筒上的负弹簧（放大其振荡），并且作为后筒上的阻尼器（控制其振荡）。具有两度自由度（2DOF）的场景比具有一定程度自由的等同方案具有更高的振荡幅度。此外，相对于交叉流振荡幅度，流明智的振荡幅度不可忽略。另一方面，对于2dof，当雷诺数增加冲突风险时，由于圆柱体接近变窄。

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