中国石油大学学报（自然科学版）2025，Vol.49Issue(2)：159-166,8.DOI:10.3969/j.issn.1673-5005.2025.02.014
基于尾流振子模型涡激振动数值模拟的加权显隐交替计算数值方法
Weighted explicit-implicit alternating method for numerical simulation of vortex-induced vibration based on wake oscillator model
摘要
Abstract
Using the wake oscillator model,a vibration control coupling equation was established for the flexible cylinder to achieve accurate prediction and analysis of the vortex-induced vibration(VIV)behavior of the riser.Due to the nonlinearity,coupling,and partial differential nature of the equations,a new numerical method-weighted explicit-implicit alternating meth-od was proposed.Then this method was applied to perform numerical simulations of risers with four different aspect ratios.The results show that the method can enhance numerical stability while improve computational efficiency.By analyzing vari-ous combinations of spatial step and time step sizes,it is found that they have an impact on the stability of difference schemes as well as computational speed.These parameters should be adjusted flexibly to achieve the best simulation results.Analysis of different weighting coefficient combinations shows that the precision of the numerical solution is not sensitive to the choice of weighting coefficients.Then,computationally efficient and stability-optimized coefficients are selected.The vibration be-havior of deep-sea risers exhibits significant directional characteristics,which are guided by the combined effects of traveling waves and standing waves.Traveling waves primarily affect the central region of the riser,while standing waves predominant-ly influence the two ends of the riser.As the aspect ratio of the riser increases,the influence of traveling waves gradually shifts towards the upper-middle section,and the length of the affected region also increases.Meanwhile,the influence of standing waves at the lower end of the riser becomes more pronounced,and the number of modes participating in vortex-in-duced vibration also increases.关键词
加权显隐交替计算/非线性耦合偏微分方程/涡激振动/数值模拟Key words
weighted explicit-implicit alternating calculation/nonlinear coupled partial differential equation/vortex-induced vibration/numerical simulation分类
数理科学引用本文复制引用
马宁,王宴滨,贾光燕,崔振轩,刘耀斌..基于尾流振子模型涡激振动数值模拟的加权显隐交替计算数值方法[J].中国石油大学学报（自然科学版）,2025,49(2):159-166,8.基金项目
国家自然科学基金优秀青年基金项目(52322110) （52322110）
北京市科技新星计划项目(20230484341) （20230484341）
中国石油大学(北京)油气资源与工程全国重点实验室课题(PRE/DX-2404) （北京）
