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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 9086246, 15 pages
http://dx.doi.org/10.1155/2016/9086246
Research Article

A Numerical Study of the Forces on Two Tandem Cylinders Exerted by Internal Solitary Waves

1State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China
2College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China
3College of Water Conservancy and Ecological Engineering, Nanchang Institute of Technology, Nanchang 330099, China
4College of Meteorology and Oceanography, PLA University of Science and Technology, Nanjing 211101, China

Received 20 January 2016; Revised 9 May 2016; Accepted 22 May 2016

Academic Editor: Maurizio Brocchini

Copyright © 2016 Yin Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Petillo and H. Schmidt, “Exploiting adaptive and collaborative AUV autonomy for detection and characterization of internal waves,” IEEE Journal of Oceanic Engineering, vol. 39, no. 1, pp. 150–164, 2014. View at Publisher · View at Google Scholar · View at Scopus
  2. N. V. Kurup, S. Shi, Z. Shi, W. Miao, and L. Jiang, “Study of nonlinear internal waves and impact on offshore drilling units,” in Proceedings of the ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering, vol. 1, pp. 831–840, Rotterdam, Netherlands, June 2011.
  3. E. V. Ermanyuk and N. V. Gavrilov, “Experimental study of the dynamic effect of an internal solitary wave on a submerged circular cylinder,” Journal of Applied Mechanics and Technical Physics, vol. 46, no. 6, pp. 800–806, 2005. View at Publisher · View at Google Scholar · View at Scopus
  4. G. Wei, H. Du, X. H. Xu et al., “Experimental investigation of the generation of large-amplitude internal solitary wave and its interaction with a submerged slender body,” Science China Physics, Mechanics and Astronomy, vol. 57, no. 2, pp. 301–310, 2014. View at Publisher · View at Google Scholar · View at Scopus
  5. J. Xie, J. C. Xu, and S. Q. Cai, “A numerical study of the load on cylindrical piles exerted by internal solitary waves,” Journal of Fluids and Structures, vol. 27, no. 8, pp. 1252–1261, 2011. View at Publisher · View at Google Scholar · View at Scopus
  6. S. Q. Cai, J. C. Xu, Z. Chen, J. Xie, X. Deng, and H. Lv, “The effect of a seasonal stratification variation on the load exerted by internal solitary waves on a cylindrical pile,” Acta Oceanologica Sinica, vol. 33, no. 7, pp. 21–26, 2014. View at Publisher · View at Google Scholar · View at Scopus
  7. S. Cai, X. Long, and Z. Gan, “A method to estimate the forces exerted by internal solitons on cylindrical piles,” Ocean Engineering, vol. 30, no. 5, pp. 673–689, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. S. Q. Cai, S. G. Wang, and X. M. Long, “A simple estimation of the force exerted by internal solitons on cylindrical piles,” Ocean Engineering, vol. 33, no. 7, pp. 974–980, 2006. View at Publisher · View at Google Scholar · View at Scopus
  9. Z. Xu, B. Yin, H. Yang, and J. Qi, “Depression and elevation internal solitary waves in a two-layer fluid and their forces on cylindrical piles,” Chinese Journal of Oceanology and Limnology, vol. 30, no. 4, pp. 703–712, 2012. View at Publisher · View at Google Scholar · View at Scopus
  10. Z. J. Si, Y. L. Zhang, and Z. S. Fan, “A numerical simulation of shear forces and torques exerted by large-amplitude internal solitary waves on a rigid pile in South China Sea,” Applied Ocean Research, vol. 37, pp. 127–132, 2012. View at Publisher · View at Google Scholar · View at Scopus
  11. C. M. Linton and M. McIver, “The interaction of waves with horizontal cylinders in two-layer fluids,” Journal of Fluid Mechanics, vol. 304, pp. 213–229, 1995. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. J. R. Cadby and C. M. Linton, “Three-dimensional water-wave scattering in two-layer fluids,” Journal of Fluid Mechanics, vol. 423, pp. 155–173, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  13. I. V. Sturova, “Radiation loads on interface piercing cylinder in a two-layer fluid of finite depth by a coupled element technique,” in Proceedings of the 8th International Conference on Numerical Ship Hydrodynamics, vol. 2, pp. 80–91, Busan, Republic of Korea, 2003.
  14. T. Du, L. Sun, Y. Zhang, X. Bao, and X. Fang, “An estimation of internal soliton forces on a pile in the ocean,” Journal of Ocean University of China, vol. 6, no. 2, pp. 101–106, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. Z. J. Song, B. Teng, Y. Gou et al., “Comparisons of internal solitary wave and surface wave actions on marine structures and their responses,” Applied Ocean Research, vol. 33, no. 2, pp. 120–129, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. H. Q. Zhang and J. C. Li, Wave Loading on Floating Platforms by Internal Solitary Waves, Springer, Berlin, Germany, 2007.
  17. L. Bonakdar, H. Oumeraci, and A. Etemad-Shahidi, “Wave load formulae for prediction of wave-induced forces on a slender pile within pile groups,” Coastal Engineering, vol. 102, pp. 49–68, 2015. View at Publisher · View at Google Scholar · View at Scopus
  18. M. M. Zdravkovich, “Review of flow interference between two circular cylinders in various arrangements,” Journal of Fluids Engineering, vol. 99, no. 4, pp. 618–633, 1977. View at Publisher · View at Google Scholar
  19. M. Mahbub Alam and Y. Zhou, “Strouhal numbers, forces and flow structures around two tandem cylinders of different diameters,” Journal of Fluids and Structures, vol. 24, no. 4, pp. 505–526, 2008. View at Publisher · View at Google Scholar · View at Scopus
  20. J. R. Meneghini, F. Saltara, C. L. R. Siqueira, and J. A. Ferrari Jr., “Numerical simulation of flow interference between two circular cylinders in tandem and side-by-side arrangements,” Journal of Fluids & Structures, vol. 15, no. 2, pp. 327–350, 2001. View at Publisher · View at Google Scholar · View at Scopus
  21. H. Gopalan and R. Jaiman, “Numerical study of the flow interference between tandem cylinders employing non-linear hybrid URANS–LES methods,” Journal of Wind Engineering & Industrial Aerodynamics, vol. 142, pp. 111–129, 2015. View at Publisher · View at Google Scholar · View at Scopus
  22. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, “A dynamic subgrid-scale eddy viscosity model,” Physics of Fluids A, vol. 3, no. 7, pp. 1760–1765, 1991. View at Publisher · View at Google Scholar · View at Scopus
  23. H. Zhu, L. Wang, and H. Tang, “Large-eddy simulation of the generation and propagation of internal solitary waves,” Science China Physics, Mechanics & Astronomy, vol. 57, no. 6, pp. 1128–1136, 2014. View at Publisher · View at Google Scholar · View at Scopus
  24. C.-Y. Chen, J. R.-C. Hsu, C.-W. Chen, H.-H. Chen, C.-F. Kuo, and M.-H. Cheng, “Generation of internal solitary wave by gravity collapse,” Journal of Marine Science and Technology, vol. 15, no. 1, pp. 1–7, 2007. View at Google Scholar · View at Scopus
  25. Z.-H. Lin and J.-B. Song, “Numerical studies of internal solitary wave generation and evolution by gravity collapse,” Journal of Hydrodynamics, vol. 24, no. 4, pp. 541–553, 2012. View at Publisher · View at Google Scholar · View at Scopus
  26. A. F. Shchepetkin, “An adaptive, Courant-number-dependent implicit scheme for vertical advection in oceanic modeling,” Ocean Modelling, vol. 91, pp. 38–69, 2015. View at Publisher · View at Google Scholar · View at Scopus
  27. J. R. Morison, J. W. Johnson, and S. A. Schaaf, “The force exerted by surface waves on piles,” Journal of Petroleum Technology, vol. 2, no. 5, pp. 149–154, 2013. View at Publisher · View at Google Scholar
  28. G. H. Keulegan and L. H. Carpenter, “Forces on cylinders and plates in an oscillating fluid,” Journal of Research of the National Bureau of Standards, vol. 60, no. 5, pp. 423–440, 1958. View at Publisher · View at Google Scholar
  29. T. Sarpkaya and I. Michael, “Mechanics of wave forces on offshore structures,” International Journal of Soil Dynamics and Earthquake Engineering, vol. 60, no. 5, pp. 215–218, 1981. View at Google Scholar
  30. D. Canuto and K. Taira, “Two-dimensional compressible viscous flow around a circular cylinder,” Journal of Fluid Mechanics, vol. 785, pp. 349–371, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  31. M. M. Zdravkovich, “The effects of interference between circular cylinders in cross flow,” Journal of Fluids and Structures, vol. 1, no. 2, pp. 239–261, 1987. View at Google Scholar
  32. Y. N. Fu, X. Z. Zhao, X. G. Wang, and F. Cao, “Computation of flow past an in-line oscillating circular cylinder and a stationary cylinder in tandem using a CIP-based model,” Mathematical Problems in Engineering, vol. 2015, Article ID 568176, 9 pages, 2015. View at Publisher · View at Google Scholar
  33. T. Igarashi, “Characteristics of the flow around two circular cylinders arranged in tandem: 1st report,” Bulletin of JSME, vol. 24, no. 188, pp. 323–331, 1981. View at Publisher · View at Google Scholar · View at Scopus
  34. T. Tsutsui, T. Igarashi, and K. Kamemoto, “Interactive flow around two circular cylinders of different diameters at close proximity. Experiment and numerical analysis by vortex method,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 69–71, no. 594, pp. 279–291, 1997. View at Publisher · View at Google Scholar · View at Scopus
  35. B. S. Carmo and J. R. Meneghini, “Numerical investigation of the flow around two circular cylinders in tandem,” Journal of Fluids and Structures, vol. 22, no. 6-7, pp. 979–988, 2006. View at Publisher · View at Google Scholar · View at Scopus