Citation:
Xiaodi Wu,Jiaqi Li,Shuo Huang,et al.Flow-Induced Transverse Vibration of Three Equal-Diameter Cylinders in an Equilateral Triangle Using the Immersed Boundary-Lattice Boltzmann Flux Solver[J].Journal of Marine Science and Application,2025,(2):437-448.[doi:10.1007/s11804-024-00461-y]
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Flow-Induced Transverse Vibration of Three Equal-Diameter Cylinders in an Equilateral Triangle Using the Immersed Boundary-Lattice Boltzmann Flux Solver
Xiaodi Wu,Jiaqi Li,Shuo Huang,et al.Flow-Induced Transverse Vibration of Three Equal-Diameter Cylinders in an Equilateral Triangle Using the Immersed Boundary-Lattice Boltzmann Flux Solver[J].Journal of Marine Science and Application,2025,(2):437-448.[doi:10.1007/s11804-024-00461-y]
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- Title:
- Flow-Induced Transverse Vibration of Three Equal-Diameter Cylinders in an Equilateral Triangle Using the Immersed Boundary-Lattice Boltzmann Flux Solver
- Author(s):
- Xiaodi Wu; Jiaqi Li; Shuo Huang; Ruosi Zha
- Affilations:
- Keywords:
- Flow-induced vibration; Equal-diameter cylinders; Lattice boltzmann flux solver; Immersed boundary method
- DOI:
- 10.1007/s11804-024-00461-y
- Abstract:
- To explore the relationship between dynamic characteristics and wake patterns, numerical simulations were conducted on three equal-diameter cylinders arranged in an equilateral triangle. The simulations varied reduced velocities and gap spacing to observe flow-induced vibrations (FIVs). The immersed boundary-lattice Boltzmann flux solver (IB-LBFS) was applied as a numerical solution method, allowing for straightforward application on a simple Cartesian mesh. The accuracy and rationality of this method have been verified through comparisons with previous numerical results, including studies on flow past three stationary circular cylinders arranged in a similar pattern and vortex-induced vibrations of a single cylinder across different reduced velocities. When examining the FIVs of three cylinders, numerical simulations were carried out across a range of reduced velocities (3.0 ≤ Ur ≤ 13.0) and gap spacing (L = 3D, 4D, and 5D). The observed vibration response included several regimes: the desynchronization regime, the initial branch, and the lower branch. Notably, the transverse amplitude peaked, and a double vortex street formed in the wake when the reduced velocity reached the lower branch. This arrangement of three cylinders proved advantageous for energy capture as the upstream cylinder’s vibration response mirrored that of an isolated cylinder, while the response of each downstream cylinder was significantly enhanced. Compared to a single cylinder, the vibration and flow characteristics of this system are markedly more complex. The maximum transverse amplitudes of the downstream cylinders are nearly identical and exceed those observed in a single-cylinder set-up. Depending on the gap spacing, the flow pattern varied: it was in-phase for L = 3D, antiphase for L = 4D, and exhibited vortex shedding for L = 5D. The wake configuration mainly featured double vortex streets for L = 3D and evolved into two pairs of double vortex streets for L = 5D. Consequently, it well illustrates the coupling mechanism that dynamics characteristics and wake vortex change with gap spacing and reduced velocities.
References:
[1] Alam MM, Elhimer M, Wang L, Jacono DL, Wong CW (2018) Vortex shedding from tandem cylinders. Experiments in Fluids 59(3): 60. https://doi.org/10.1007/s00348-018-2501-8
[2] Bearman P (2011) Circular cylinder wakes and vortex-induced vibrations. Journal of Fluids and Structures 27(5-6): 648-658. https://doi.org/10.1016/j.jfluidstructs.2011.03.021
[3] Chen LF, Wu GX (2020) Flow-induced transverse vibration of a circular cylinder close to a plane wall at small gap ratios. Applied Ocean Research 103: 102344. https://doi.org/10.1016/j.apor.2020.102344
[4] Chen W, Ji CN, Williams J, Xu D, Yang LH, Cui YT (2018) Vortex-induced vibrations of three tandem cylinders in laminar cross-flow: vibration response and galloping mechanism. Journal of Fluids and Structures 78: 215-238. https://doi.org/10.1016/j.jfluidstructs.2017.12.017
[5] Chen XY, Zha GC (2010) Fully coupled fluid-structural interaction in a hybrid Cartesian-body fitted grid system. Computational Mechanics 46 (1): 3-16. https://doi.org/10.1007/s00466-009-0421-4
[6] Chen Z, Alam MM, Qin B, Zhou Y (2020) Energy harvesting from and vibration response of different diameter cylinders. Applied Energy 278: 115737. https://doi.org/10.1016/j.apenergy.2020.115737
[7] Fan X, Wang Z, Chen X, Wang Y, Tan W (2020) Experimental investigation on flow-induced vibration of flexible multi cylinders in atmospheric boundary layer. International Journal of Mechanical Sciences 183: 105815. https://doi.org/10.1016/j.ijmecsci.2020.105815
[8] Favier J, Revell A, Pinelli AA (2014) Lattice Boltzmann-immersed boundary method to simulate the fluid interaction with moving and slender flexible objects. Journal of Computational Physics 261: 154-161. https://doi.org/10.1016/j.jcp.2013.12.052
[9] Giannopoulou O, Colagrossi A, Di Mascioc A, Mascia C (2019) Chorin’s approaches revisited: vortex particle method vs finite volume method. Engineering Analysis with Boundary Elements 106: 371-388. https://doi.org/10.1016/j.enganabound.2019.05.026.
[10] Han X, Lin W, Qiu A, Feng Z, Wu J, Tang Y, Zhao C (2019) Understanding vortex-induced vibration characteristics of a long flexible marine riser by a bidirectional fluid-structure coupling method. Journal of Marine Science and Technology 25: 620-639. https://doi.org/10.1007/s00773-019-00663-y
[11] Haussmann M, Hafen N, Raichle F, Trunk R, Krause, MJ (2020) Galilean invariance study on different lattice boltzmann fluid-solid interface approaches for vortex-induced vibrations. Computers & Mathematics with Applications 80(5): 671-691. https://doi.org/10.1016/j.camwa.2020.04.022
[12] Ji J, Chen W, Gao R, Liu B, Zhang J (2020) Research on vibration and heat transfer in heat exchanger with vortex generator. Journal of Thermophysics and Heat Transfer 6: 1-7. https://doi.org/10.2514/1.T6081
[13] Kang SK (2010) Immersed boundary methods in the lattice Boltzmann equation for flow simulation. PhD thesis, Texas A&M University, Texas
[14] Laborderie JD, Duchaine F, Gicquel L, Vermorel O, Wang G, Moreau S (2018) Numerical analysis of a high-order unstructured overset grid method for compressible les of turbomachinery. Journal of Computational Physics 363: 371-398. https://doi.org/10.1016/j.jcp.2018.02.045
[15] Li D, Wu Y, Ronch AD, Xiang J (2016) Energy harvesting by means of flow-induced vibrations on aerospace vehicles. Progress in Aerospace Sciences 86: 28-62. https://doi.org/10.1016/j.paerosci.2016.08.001
[16] Luo LS, Liao W, Chen X, Peng Y, Zhang W (2011) Numerics of the lattice Boltzmann method: effects of collision models on the lattice Boltzmann simulations. Physical review E 83(5): 056710. https://doi.org/10.1103/PhysRevE.83.056710
[17] Luo ZM, Zhang LX (2015) Force characteristics and hydrokinetic energy harvesting for VIV of four coupling-linked cylinders. Journal of Vibration and Shock 34(17): 25-29. https://doi.org/10.13465/j.cnki.jvs.2015.17.005
[18] Ma YX, Xu WH, Liu B (2019) Dynamic response of three long flexible cylinders subjected to flow-induced vibration (FIV) in an equilateral-triangular configuration. Ocean Engineering 183: 187-207. https://doi.org/10.1016/j.oceaneng.2019.04.096
[19] Mohanty A, Parida S, Behera RK, Roy T (2019) Vibration energy harvesting: A review. Journal of Advanced Dielectrics 9(4): 1-17. https://doi.org/10.1142/S2010135X19300019
[20] Rabiee AH, Barzan MR, Mohammadebrahim A (2021) Flow-induced vibration suppression of elastic square cylinder using windward-suction-leeward-blowing approach. Applied Ocean Research 109: 102552. https://doi.org/10.1016/j.apor.2021.102552
[21] Shu C, Wang Y, Teo CJ, Wu J (2014) Development of lattice Boltzmann flux solver for simulation of incompressible flows. Advances in Applied Mathematics and Mechanics 6(4): 436-460. https://doi.org/10.4208/aamm.2014.4.s2
[22] Singh SP, Mittal S (2005) Vortex-induced oscillations at low Reynolds numbers: hysteresis and vortex-shedding modes. Journal of Fluids and Structures 20(8): 1085-1104. https://doi.org/10.1016/j.jfluidstructs.2005.05.011
[23] Song H, Huang W, Chang S (2020) Empirical model for wake induced vibrations frequency response of cylinder with low mass ratio. Ocean Engineering 195: 106746. https://doi.org/10.1016/j.oceaneng.2019.106746
[24] Suzuki K, Inamuro T (2011) Effect of internal mass in the simulation of a moving body by the immersed boundary method. Computers and Fluids 49(1): 173-187. https://doi.org/10.1016/j.compfluid.2011.05.011
[25] Tan Q, Fan K, Guo J, Wen T, Zhou S (2021) A cantilever-driven rotor for efficient vibration energy harvesting. Energy 235: 121326. https://doi.org/10.1016/j.energy.2021.121326
[26] Vahdati M, Lee KB, Sureshkumar P (2020) A review of computational aeroelasticity of civil fan blades. International Journal of Gas Turbine 11(4): 22-35. https://doi.org/10.38036/jgpp.11.4_22
[27] Wang JS, Fan D, Lin K (2020) A review on flow-induced vibration of offshore circular cylinders. Journal of Hydrodynamics 32(5): 415-440. https://doi.org/10.1007/s42241-020-0032-2
[28] Wang H, Yu G, Yang W (2013) Numerical study of vortex-induced vibrations of three circular cylinders in equilateral-triangle arrangement. Advances in Mechanical Engineering 5: 1-14. https://doi.org/10.1155/2013/287923
[29] Wang Y, Shu C, Teo CJ, Wu J (2015) An immersed boundary-lattice Boltzmann flux solver and its applications to fluid-structure interaction problems. Journal of Fluids and Structures 54: 440-465. https://doi.org/10.1016/j.jfluidstructs.2014.12.003
[30] Wu W, Wang J (2017) Numerical simulation of VIV for a circular cylinder with a downstream control rod at low Reynolds number. European Journal of Mechanics-B/Fluids 68: 153-166. https://doi.org/10.1016/j.euromechflu.2017.12.005
[31] Wu XD, Chen F, Liu HP (2017) Combined immersed boundary method and MRT lattice Boltzmann flux solver for numerical simulations of incompressible flows. Applied Mathematics and Mechanics 38(12): 1679-1696. https://doi.org/10.1007/s10483-017-2290-7
[32] Xu F, Xiao Y, Liu H, Ou J (2014) Numerical study on vortex-induced vibration of three cylinders in equilateral-triangular arrangements. Proceedings of the 2nd Symposium on Fluid-Structure-Sound Interactions and Control, 391-398. https://doi.org/10.1007/978-3-642-40371-2_56
[33] Xu W, Zhang S, Ma Y, Liu B (2021) Fluid forces acting on three and four long side-by-side flexible cylinders undergoing flow-induced vibration (FIV). Marine Structures 75: 102877. https://doi.org/10.1016/j.marstruc.2020.102877
[34] Yang X, Ji C, Chen W, Zhang Z (2019) Wake patterns and hydrodynamic forces of flow around circular cylinders in an equilateral triangular arrangement. Journal of Hydrodynamics Ser. A 34(1): 69-76. https://doi.org/10.16076/j.cnki.cjhd.2019.01.009
[35] Zhang AM, Li SM, Pu C, Li Shuai, Liu YL (2023) A unified theory for bubble dynamics. Physics of Fluids 35: 033323. https://doi.org/10.1063/5.0145415
[36] Zhang B, Mao Z, Song B, Tian W, Ding W (2018) Numerical investigation on VIV energy harvesting of four cylinders in close staggered formation. Ocean Engineering 165: 55-68. https://doi.org/10.1016/j.oceaneng.2018.07.042
[37] Zhou Y, Alam MM (2016) Wake of two interacting circular cylinders: a review. International Journal of Heat & Fluid Flow 62: 510-537. https://doi.org/10.1016/j.ijheatfluidflow.2016.08.008
Memo
- Memo:
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Received date:2023-11-29;Accepted date:2024-1-18。
Foundation item:Supported by the National Natural Science Foundation of China (52201350, 52201394, and 52271301), and the Innovation Group Project of Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai) (Grant No. SML2022008).
Corresponding author:Shuo Huang,E-mail:huangsh97@mail.sysu.edu.cn
