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Vortex-induced vibration on a two-dimensional circular cylinder with low Reynolds number and low mass-damping parameter

机译：低雷诺数和低质量阻尼参数的二维圆柱体上的涡激振动

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摘要

The vortex induced vibration (VIV) on a circular cylinder with low mass-damping parameter and low Reynolds number is investigated numerically as basis for applications on dynamics of risers used in the offshore oil and gas industry and as a first step before tackling the harder high Reynolds number problem. The cylinder is supported by a spring and a damper and free to vibrate in the transverse direction. The numerical solution of the Unsteady Reynolds-Averaged Navier-Stokes equations written in curvilinear coordinates is obtained using an upwind and Total Variation Diminishing conservative scheme and the k-epsilon turbulence model. Results were obtained for the phase angle, response amplitude, response frequency, and lift coefficient for reduced velocities from 2 to 12, for six different fixed Reynolds numbers, and for three different proportional variations of Reynolds number with reduced velocity, 2000-6000, 2000-12,000, and 2000-24,000. The results indicate the strong effect of the Reynolds number on the response amplitude, lift coefficient, and response frequency for a low mass-damping parameter. The upper branch of the response amplitude curve is only obtained when the Reynolds number varies proportionally to reduced velocity. For a fixed Reynolds number, only the initial and lower branches are captured. (C) 2015 Elsevier Ltd. All rights reserved.
机译：对具有低质量阻尼参数和低雷诺数的圆柱体上的涡激振动（VIV）进行了数值研究，以此作为在海上石油和天然气工业中使用的立管动力学应用的基础，并且是在解决更坚硬的高压之前的第一步雷诺数问题。气缸由弹簧和减震器支撑，并在横向方向上自由振动。使用逆风和总变化递减保守方案以及k-ε湍流模型，获得了用曲线坐标编写的非稳态雷诺平均Navier-Stokes方程的数值解。对于六个不同的固定雷诺数，以及三个不同的雷诺数比例变化（速度降低，2000-6000，2000），获得了将速度从2减小到12时的相角，响应幅度，响应频率和升力系数的结果-12,000和2000-24,000。结果表明，对于低质量阻尼参数，雷诺数对响应幅度，升力系数和响应频率有很大影响。仅当雷诺数与降低的速度成比例地变化时，才获得响应幅度曲线的上分支。对于固定的雷诺数，仅捕获初始和较低的分支。 （C）2015 Elsevier Ltd.保留所有权利。

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