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亚临界雷诺数下圆柱受迫振动的数值研究
引用本文:赵静,吕林,董国海,谢彬,滕斌.亚临界雷诺数下圆柱受迫振动的数值研究[J].计算力学学报,2012,29(1):74-80.
作者姓名:赵静  吕林  董国海  谢彬  滕斌
作者单位:大连理工大学 海岸和近海工程国家重点实验室, 大连 116024; 中国石油集团 工程技术研究院, 天津 300451;大连理工大学 深海工程研究中心, 大连 116024; 南京水利科学研究院 港口航道泥沙工程交通行业重点实验室, 南京 210024;大连理工大学 海岸和近海工程国家重点实验室, 大连 116024;中海石油研究中心, 北京 100027;大连理工大学 海岸和近海工程国家重点实验室, 大连 116024
基金项目:国家863项目(2006AA09A103);南京水利科学 研究院港口航道泥沙工程交通行业重点实验室 开放基金资助项目.
摘    要:在Navier-Stokes方程和k-ω湍流模型的基础上,利用流线迎风有限元方法结合ALE动网格技术对亚临界雷诺数下的圆柱受迫振动问题开展了数值模拟研究。本文的数值模型成功模拟了Re=5000条件下,圆柱发生受迫振动时尾迹区内的2S,2P和P+S尾流模式;对Re=10000情况下,无量纲振幅分别为0.3,0.4,0.5的圆柱受迫振动问题开展了数值模拟,分析了给定振幅条件下圆柱受力随振动频率的变化关系以及受迫振动的锁定区间。以上数值计算结果与Gopalkrishnan (1993)的实验结果基本符合。研究结果表明,二维数值模型能够基本正确地反映出圆柱发生受迫振动时的涡激振动特性以及有关的受力变化趋势,为今后进一步开展三维数值分析工作奠定了基础。

关 键 词:Navier-Stokes方程  涡激振动  流线迎风有限元  任意拉格朗    -欧拉方法  k-ω湍流模型
收稿时间:2010/8/20 0:00:00
修稿时间:2011/2/16 0:00:00

Two dimensional numerical simulation of forced oscillating cylinder at sub-critical Reynolds numbers
ZHAO Jing,LU Lin,DONG Guo-hai,XIE Bin and TENG Bin.Two dimensional numerical simulation of forced oscillating cylinder at sub-critical Reynolds numbers[J].Chinese Journal of Computational Mechanics,2012,29(1):74-80.
Authors:ZHAO Jing  LU Lin  DONG Guo-hai  XIE Bin and TENG Bin
Institution:State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China; CNPC Research Institute of Engineering Technology, Tianjin 300451, China;Center for Deepwater Engineering, Dalian University of Technology, Dalian 116024, China; Nanjing Hydraulic Research Institute Key Laboratory of Port, Waterway & Sedimentation Engineering Ministry of Transport, Nanjing 210024, China;State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;CNOOC Research Center, Beijing 100027, China;State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
Abstract:Based on the Navier-Stokes equations,k-ω turbulent model,SUPG Finite Element method and Arbitrary Lagragian-Eulerian method,a numerical model is developed in this work to investigate the forced oscillation of circular cylinder in uniform flow.The 2S,2P and P+S wake modes are simulated successfully in the wake region at Re=5000.The lift and drag coefficients are in good agreement with the available numerical and experimental data.The variations of fluid forces with the oscillation frequencies of circular cylinder at different non-dimensional amplitudes of 0.3,0.4 and 0.5 at Re=10000 are also examined.The lock-in region is obtained and agrees well with the experimental data.It shows that the present two-dimensional model is able to predict the characteristics of VIV,but the three-dimensional viscous numerical model is necessary for the accurate numerical simulation.
Keywords:Navier-Stokes equations  vortex-induced vibration  Arbitrary Lagragian-Eulerian method  finite element method  turbulent model
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