China Ocean Engineering

, Volume 29, Issue 2, pp 183–196 | Cite as

RANS-VOF solver for solitary wave run-up on a circular cylinder

  • Hong-jian Cao (曹洪建)
  • De-cheng Wan (万德成)Email author


Simulation of solitary wave run-up on a vertical circular cylinder is carried out in a viscous numerical wave tank developed based on the open source codes OpenFOAM. An incompressible two-phase flow solver naoe-FOAM-SJTU is used to solve the Reynolds-Averaged Navier-Stokes (RANS) equations with the SST k-ω turbulence model. The PISO algorithm is utilized for the pressure-velocity coupling. The air-water interface is captured via Volume of Fluid (VOF) technique. The present numerical model is validated by simulating the solitary wave run-up and reflected against a vertical wall, and solitary wave run-up on a vertical circular cylinder. Comparisons between numerical results and available experimental data show satisfactory agreement. Furthermore, simulations are carried out to study the solitary wave run-up on the cylinder with different incident wave height H and different cylinder radius a. The relationships of the wave run-up height with the incident wave height H, cylinder radius a are analyzed. The evolutions of the scattering free surface and vortex shedding are also presented to give a better understanding of the process of nonlinear wave-cylinder interaction.

Key words

RANS VOF solitary wave circular cylinder numerical wave tank naoe-FOAM-SJTU solver 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Basmat, A. and Ziegler, F., 1998. Interaction of a plane solitary wave with a rigid vertical cylinder, Z. Angew. Math. Mech., 78(8): 535–543.CrossRefzbMATHMathSciNetGoogle Scholar
  2. Byatt-Smith, J. G. B., 1971. An integral equation for unsteady surface waves and a comment on the Boussinesq equation, J. Fluid Mech., 49(4): 625–633.CrossRefzbMATHMathSciNetGoogle Scholar
  3. Chen, Y. S., Chen, Y. Z. and Cao, N. Z., 1989. The diffraction of a solitary wave by a circular cylinder, Acta Mechanica Sinica, 5(4): 293–300.CrossRefzbMATHMathSciNetGoogle Scholar
  4. Cao, H. J., Zha, J. J. and Wan, D. C., 2011a. Numerical simulation of wave run-up around a vertical cylinder, Proc. 21st Int. Offshore Polar Eng. Conf. (ISOPE), Maui, Hawaii, USA, 726–733.Google Scholar
  5. Cao, H. J. and Wan, D. C., 2012. Numerical investigation of extreme wave effects on cylindrical offshore structures, Proc. 22nd Int. Offshore Polar Eng. Conf. (ISOPE), Rhodes, Greece, 804–811.Google Scholar
  6. Cao, H. J., Liu, Y. C., Wan, D. C. and Yang, C., 2011b. Numerical simulation of extreme wave impact on fixed offshore platform, Proc. 7th Int. Workshop Ship Hydrodynamics (IWSH), Shanghai, China, 138–143.Google Scholar
  7. Dean, R. G. and Dalrymple, R. A., 1991. Water Wave Mechanics for Scientists and EngineersAdvanced Series on Ocean Engineering, Vol. 2, World Scientific.Google Scholar
  8. Hunt, J. C. R., Wray, A. A. and Moin, P., 1988. Eddies, stream, and convergence zones in turbulent flows, Stanford N.A.S.A, Center for Turbulence Research, CTR-S88.Google Scholar
  9. Isaacson, M. D. S. Q., 1983. Solitary wave diffraction around large cylinder, J. Waterw. Port Coast. Ocean Div., ASCE, 109(1): 121–127.CrossRefGoogle Scholar
  10. Issa, R. I., 1986. Solution of the implicitly discretised fluid flow equations by operator-splitting, J. Comput. Phys., 62(1): 40–65.CrossRefzbMATHMathSciNetGoogle Scholar
  11. Maxworthy, T., 1976. Experiments on collisions between solitary waves, J. Fluid Mech., 76(1): 177–186.CrossRefGoogle Scholar
  12. Menter, F., 1994. Two-equation eddy-viscosity turbulence model for enginnering applications, AIAA J., 32(8): 1598–1605.CrossRefGoogle Scholar
  13. Mo, W., Irschik, K., Oumeraci, H. and Liu, P. L. F., 2007. A 3D numerical model for computing non-breaking wave forces on slender piles, J. Eng. Math., 58(1–4): 19–30.CrossRefzbMATHMathSciNetGoogle Scholar
  14. Ning, D. Z., Zang, J., Liang, Q., Taylor, P. H. and Borthwick, A. G. L., 2008. Boussinesq cut-cell model for non-linear wave interaction with coastal structures, Int. J. Numer. Methods Fluids, 57(10): 1459–1483.CrossRefzbMATHMathSciNetGoogle Scholar
  15. Ohyama, T., 1990. A numerical method of solitary wave forces acting on a large vertical cylinder, Proc. 22nd Conf. Coast. Eng., Delft, The Netherlands, 1, 840–852.Google Scholar
  16. Rusche, H., 2003. Computional Fluid Dynamics of Dispersed Two-phase Flows at High Phase Fractions, London, Imperial College of Science, Technology and Medicine.Google Scholar
  17. Shen, Z. R., Cao, H. J., Ye, H. X. and Wan, D. C., 2012. Manual of CFD Solver naoe-FOAM-SJTU, Shanghai, Shanghai Jiao Tong University. (in Chinese)Google Scholar
  18. Wang, K. H., Wu, T. Y. and Yates, G. T., 1992. Three-dimensional scattering of soliatry waves by vertical cylinder, J. Waterw. Port Coast. Ocean Eng., ASCE, 118(5): 551–566.CrossRefGoogle Scholar
  19. Yates, G. T. and Wang, K. H., 1994. Solitary wave scattering by a vertical cylinder: experimental study, Proc. 4th Int. Offshore Polar Eng. Conf. (ISOPE), Osaka, Japan, 118–124.Google Scholar
  20. Zha, J. J. and Wan, D. C., 2011. Numerical wave generation and absorption based on OpenFOAM, The Ocean Engineering, 29(3): 1–12. (in Chinese)Google Scholar
  21. Zhao, M., Cheng, L., and Teng, B., 2007. Numerical simulation of solitary wave scattering by a circular cylinder array, Ocean Eng., 34(3–4): 489–499.CrossRefGoogle Scholar
  22. Zhong, Z. and Wang, K. H., 2008. Time-accurate stabilized finite-element model for weakly nonlinear and weakly dispersive water waves, Int. J. Numer. Methods Fluids, 57(6): 715–744.CrossRefzbMATHMathSciNetGoogle Scholar

Copyright information

© Chinese Ocean Engineering Society and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Hong-jian Cao (曹洪建)
    • 1
  • De-cheng Wan (万德成)
    • 1
    Email author
  1. 1.State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil EngineeringShanghai Jiao Tong University, Collaborative Innovation Center of Advanced Ship and Deep-Sea ExplorationShanghaiChina

Personalised recommendations