Journal
OCEAN ENGINEERING
Volume 96, Issue -, Pages 21-33Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.oceaneng.2014.12.002
Keywords
Arbitrary Lagrangian-Eulerian; Characteristic-based split finite element method; Four cylinders; Square arrangement; Flow-induced vibration
Funding
- Program of Shanghai Subject Chief Scientist [13XD1402100]
- National Natural Science Foundation of China [11172174, 51278297, 51490674]
- Research Project of State Key Laboratory of Ocean Engineering-SJTU [GKZD010063]
- Doctoral Disciplinary Special Research Project of Chinese Ministry of Education [20130073110096]
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Flow-induced vibrations (FIV) of four identical circular cylinders placed in a square arrangement are numerically investigated. Modeled as a spring-damping system subjected to uniform flows, each cylinder is allowed to freely oscillate with equal natural frequencies in the inline and transverse directions. The spacing ratio, LID, remains 5, where L is the central distance of any two adjacent cylinders and D the cylinder diameter. The Reynolds numbers are chosen as Re=80 and 160. The incidence angle of the incoming uniform flow is alpha=0 degrees. The mass ratio for each cylinder is M-r=6.0 and the reduce velocity, U-r, varies from 3 to 14. The coupled system is numerically resolved by a semi-implicit characteristics-based split (CBS) finite element algorithm under the arbitrary Lagrangian-Eulerian description. The calculated results are analyzed in detail. In particular, some intrinsic mechanisms are interpreted on the cylinder responses and the wake patterns. The unsymmetrical figures of 8 and O, and other irregular figures are observed in the cylinders' X-Y trajectories. Besides the 4S wake pattern, the 2P+2S pattern is discovered herein. The dual-resonance phenomenon, which indicates the cylinders' synchronizations occurring in both the inline and transverse directions, is detected in this work. (C) 2014 Elsevier Ltd. All rights reserved.
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