Abstract
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 k–ε 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.
Similar content being viewed by others
References
Union IG (2015) World LNG Report—2015 edition
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 9–14
Du J, Fix B, Glimm J, Jia X, Li X, Li Y, Wu L (2006) A simple package for front tracking. J Comput Phys 213:613–628
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):194
Peskin CS (2003) The immersed boundary method. Acta Numer 11:479–517
Hamn-Ching Chen KY (2009) CFD simulations of wave–current-body interactions including greenwater and wet deck slamming. Comput Fluids 38:970–980
Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39:201–225
Lee BH, Park JC, Kim MH, Jung SJ, Ryu MC, Kim YS (2010) Numerical simulation of impact loads using a particle method. Ocean Eng 37:164–173
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-39.1
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 56:629–644
Newman JN (2005) Wave effects on vessels with internal tanks. 20th Workshop on water waves and floating bodies, Spitsbergen
Kim Y (2002) A numerical study on sloshing flows coupled with ship motion—the anti-rolling tank problem. J Ship Res 46:52–62
Kim Y, Nam BW, Kim DW, Kim YS (2007) Study on coupling effects of ship motion and sloshing. Ocean Eng 34:2176–2187
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 209:47–81
Graczyk M, Berget K, Allers J (2012) Experimental investigation of invar edge effect in membrane LNG tanks. J Offshore Mech Arct Eng 134:031801
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 59:129–141
Kishev ZR, Hu C, Kashiwagi M (2006) Numerical simulation of violent sloshing by a CIP-based method. J Mar Sci Technol 11:111–122
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 34:3–9
Liu D, Lin P (2008) A numerical study of three-dimensional liquid sloshing in tanks. J Comput Phys 227:3921–3939
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 281:277–283
Chien K-Y (1982) Predictions of channel and boundary-layer flows with a low-Reynolds-number turbulence model. AIAA J 20:33–338
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 93:397–404
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 22:6349–6358
By Bruce M, Savage MCJ, Members ASCE (2001) Flow over ogee spillway: physical and numerical model case study. J Hydraul Eng 127:640–649
Bai W, Liu X, Koh CG (2015) Numerical study of violent LNG sloshing induced by realistic ship motions using level set method. Ocean Eng 97:100–113
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 129:160–176
Acknowledgements
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).
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Yan, Y., Pfotenhauer, J.M., Miller, F. et al. Numerical study of free surface flow in a 3-dimensional FLNG tank under coupled rotational–heave excitations. J Mar Sci Technol 23, 333–348 (2018). https://doi.org/10.1007/s00773-017-0467-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00773-017-0467-5