Journal of Marine Science and Technology

, Volume 23, Issue 2, pp 333–348 | Cite as

Numerical study of free surface flow in a 3-dimensional FLNG tank under coupled rotational–heave excitations

  • Yan Yan
  • John M. Pfotenhauer
  • Franklin Miller
  • Zhonghua Ni
Original article


In this paper, free surface flow in a full-sized 3D FLNG tank is numerically studied under coupled rotational–heave excitations. The numerical model uses the standard kε turbulence model and the volume of fluid method to describe fluid flow and track free surface. The emphasis of this study is making use of a full-sized tank with coupled excitations. A mesh independence study and comparison with other experiment and numerical simulation are implemented to verify the computational model. By parametrically investigating the influence of the initial phase difference, heave frequency and filling ratio, it is found that an initial phase difference of 0.5π and 1π can result in a higher local pressure near the tank corner and 0.5π will lead to a bigger amplitude of surface sloshing. A heave frequency of 2 times the natural frequency makes the surface sloshing flow most violent, but a heave frequency larger than that will turn the sloshing pattern into an up-and-down oscillation. A low filling ratio is more sensitive to both single rotational excitation and coupled excitations. However, a high filling ratio is relatively stable under rotation alone, but becomes much more violent from an induced heave excitation.


Coupling excitations Volume of fluid method Free surface flow FLNG tank 



This research is sponsored by prospective Project (BY2014127-06) and cooperation with Furui SE Co., Ltd (BK2013092); both are supported by Science and Technology Department of Jiangsu Province, China and also by the Fundamental Research Funds for the Central Universities and Scientific Research Innovation Project for Graduate Students in Jiangsu Province (KYLX15_0060).


  1. 1.
    Union IG (2015) World LNG Report—2015 editionGoogle Scholar
  2. 2.
    Colella P, Graves DT, Modiano D, Puckett EG, Sussman M (1999) An embedded boundary/volume of fluid method for free surface flows in irregular geometries. 3rd ASME/JSME joint fluids engineering conference ASME Paper FEDSM99-7108, pp 9–14Google Scholar
  3. 3.
    Du J, Fix B, Glimm J, Jia X, Li X, Li Y, Wu L (2006) A simple package for front tracking. J Comput Phys 213:613–628MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Nakayama T, Mori M (1996) An Eulerian finite element method for time-dependent free surface problems in hydrodynamics. Int J Numer Methods Fluids 22(175–171):194zbMATHGoogle Scholar
  5. 5.
    Peskin CS (2003) The immersed boundary method. Acta Numer 11:479–517MathSciNetzbMATHGoogle Scholar
  6. 6.
    Hamn-Ching Chen KY (2009) CFD simulations of wave–current-body interactions including greenwater and wet deck slamming. Comput Fluids 38:970–980CrossRefzbMATHGoogle Scholar
  7. 7.
    Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39:201–225CrossRefzbMATHGoogle Scholar
  8. 8.
    Lee BH, Park JC, Kim MH, Jung SJ, Ryu MC, Kim YS (2010) Numerical simulation of impact loads using a particle method. Ocean Eng 37:164–173CrossRefGoogle Scholar
  9. 9.
    Zalar M, Malenica S, Mravak Z, Moirod N (2007) Some aspects of direct calculation methods for the assessment of LNG tank structure under sloshing impact. In: Proceedings of the international conference on liquefied natural gas, Barcelona, Spain, PO-39.1Google Scholar
  10. 10.
    Zhao WH, Yang JM, Hu ZQ, Xiao LF, Peng T (2013) Experimental and numerical investigation of the roll motion behavior of a floating liquefied natural gas system. Sci China Phys Mech Astron 56:629–644CrossRefGoogle Scholar
  11. 11.
    Newman JN (2005) Wave effects on vessels with internal tanks. 20th Workshop on water waves and floating bodies, SpitsbergenGoogle Scholar
  12. 12.
    Kim Y (2002) A numerical study on sloshing flows coupled with ship motion—the anti-rolling tank problem. J Ship Res 46:52–62Google Scholar
  13. 13.
    Kim Y, Nam BW, Kim DW, Kim YS (2007) Study on coupling effects of ship motion and sloshing. Ocean Eng 34:2176–2187CrossRefGoogle Scholar
  14. 14.
    Chen Bang-Fuh NR (2005) Time-independent finite difference analysis of fully non-linear and viscous fluid sloshing in a rectangular tank. J Comput Phys 209:47–81CrossRefzbMATHGoogle Scholar
  15. 15.
    Graczyk M, Berget K, Allers J (2012) Experimental investigation of invar edge effect in membrane LNG tanks. J Offshore Mech Arct Eng 134:031801CrossRefGoogle Scholar
  16. 16.
    Chen Z, Zong Z, Li HT, Li J (2013) An investigation into the pressure on solid walls in 2D sloshing using SPH method. Ocean Eng 59:129–141CrossRefGoogle Scholar
  17. 17.
    Kishev ZR, Hu C, Kashiwagi M (2006) Numerical simulation of violent sloshing by a CIP-based method. J Mar Sci Technol 11:111–122CrossRefGoogle Scholar
  18. 18.
    Lee DH, Kim MH, Kwon SH, Kim JW, Lee YB (2007) A parametric sensitivity study on LNG tank sloshing loads by numerical simulations. Ocean Eng 34:3–9CrossRefGoogle Scholar
  19. 19.
    Liu D, Lin P (2008) A numerical study of three-dimensional liquid sloshing in tanks. J Comput Phys 227:3921–3939CrossRefzbMATHGoogle Scholar
  20. 20.
    Brambilla P, Guardone A (2015) Assessment of dynamic adaptive grids in volume-of-fluid simulations of oblique drop impacts onto liquid films. J Comput Appl Math 281:277–283MathSciNetCrossRefzbMATHGoogle Scholar
  21. 21.
    Chien K-Y (1982) Predictions of channel and boundary-layer flows with a low-Reynolds-number turbulence model. AIAA J 20:33–338CrossRefzbMATHGoogle Scholar
  22. 22.
    Fu J, Tang Y, Li J, Ma Y, Chen W, Li H (2016) Four kinds of the two-equation turbulence model’s research on flow field simulation performance of DPF’s porous media and swirl-type regeneration burner. Appl Therm Eng 93:397–404CrossRefGoogle Scholar
  23. 23.
    Khaldi N, Marzouk S, Mhiri H, Bournot P (2015) Distribution characteristics of pollutant transport in a turbulent two-phase flow. Environ Sci Pollut Res Int 22:6349–6358CrossRefGoogle Scholar
  24. 24.
    By Bruce M, Savage MCJ, Members ASCE (2001) Flow over ogee spillway: physical and numerical model case study. J Hydraul Eng 127:640–649CrossRefGoogle Scholar
  25. 25.
    Bai W, Liu X, Koh CG (2015) Numerical study of violent LNG sloshing induced by realistic ship motions using level set method. Ocean Eng 97:100–113CrossRefGoogle Scholar
  26. 26.
    Liu D, Tang W, Wang J, Xue H, Wang K (2017) Modelling of liquid sloshing using CLSVOF method and very large eddy simulation. Ocean Eng 129:160–176CrossRefGoogle Scholar

Copyright information

© JASNAOE 2017

Authors and Affiliations

  • Yan Yan
    • 1
    • 2
  • John M. Pfotenhauer
    • 2
  • Franklin Miller
    • 2
  • Zhonghua Ni
    • 1
  1. 1.School of Mechanical and EngineeringSoutheast UniversityNanjingChina
  2. 2.Department of Mechanical EngineeringUniversity of Wisconsin MadisonMadisonUSA

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