刚性立管涡激振动的数值模拟方法研究
Research on Numerical Simulation Methods for Vortex-Induced Vibration of Rigid Risers
摘要: 在复杂的海洋环境中，深海立管易发生涡激振动，进而导致立管发生疲劳损伤。针对这一问题，本文采用高精度的四阶龙格库塔法和有限差分法，对刚性圆柱体结构振子与尾流振子耦合的常微分方程组进行数值模拟。数值算例通过Matlab实现数值模拟过程，结果显示在较长时间区间内计算得出的无量纲位移的振幅与无量纲尾流振子的振幅均与现有文献中的结果保持了较高的一致性，证实了所采用的数值方法能够有效地模拟刚性圆柱体的涡激振动响应，为未来在涡激振动耦合的偏微分方程组数值模拟及相关参数研究方面提供了可靠的工具。
Abstract: In the complex marine environment, deep-sea risers are susceptible to vortex-induced vibrations (VIV), which can lead to fatigue damage. To address this issue, this paper employs the high-precision fourth-order Runge-Kutta method and the finite difference method to numerically simulate the ordinary differential equations that couple the rigid cylindrical structure oscillator with the wake oscillator. The numerical examples are executed through Matlab to simulate the numerical process. The results indicate that over an extended period, the computed amplitudes of the dimensionless displacement and the dimensionless wake oscillator maintain a high degree of consistency with the results found in existing literature. This confirms that the numerical methods used are effective in simulating the vortex-induced vibration response of rigid cylinders, providing a reliable tool for future numerical simulations of coupled partial differential equations related to vortex-induced vibration and the study of associated parameters.
文章引用：马宁, 刘耀斌, 贾光燕, 崔振轩. 刚性立管涡激振动的数值模拟方法研究[J]. 应用数学进展, 2024, 13(4): 1345-1353. https://doi.org/10.12677/aam.2024.134125

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