The aim of this study is to develop a new probabilistic approach to determine nominal values for tank sloshing loads in structural design of LNG FPSO (liquefied natural gas, floating production, storage, and offloading units). Details of the proposed procedure are presented in a flow chart showing the key subtasks. The applicability of the method is demonstrated using an example of a hypothetical LNG FPSO operating in a natural gas site off a hypothetical oceanic region. It is noted that the proposed method is still under development for determining reliable estimates of extreme sloshing induced impact loads. It is concluded that the developed method is useful for determining the sloshing design loads in ship-shaped offshore LNG installations in combination with virtual metocean data and operational conditions.

References

References
1.
Paik
,
J. K.
, and
Thayamballi
,
A. K.
,
2007
,
Ship-Shaped Offshore Installations: Design, Building, and Operation
,
Cambridge University Press
,
Cambridge, UK
.10.1017/CBO9780511546082
2.
ansys aqwa
,
2012
, User's Manual (Ver. 14.0),
ANSYS Incorporated
,
Canonsburg, PA
.
3.
STAR CCM+, 2013, User's Guide (Ver. 8.02), CD-adapco, New York.
4.
Gavogy
,
T.
, and
de Seze
,
P. E.
,
2009
, “
Sloshing in Membrane LNG Carriers and Its Consequences From Designers' Perspective
,”
9th International Offshore and Polar Engineering Conference
, ISOPE, Osaka, Japan, June 21–26, Paper No. 2009-FD-11.
5.
Faltinsen
,
O. M.
,
Rognebakke
,
O. F.
, and
Timokha
,
A. N.
,
2005
, “
Resonant Three-Dimensional Nonlinear Sloshing in a Square-Base Basin—Part 2: Effect of Higher Modes
,”
J. Fluid Mech.
,
523
, pp.
199
218
.10.1017/S002211200400196X
6.
Loots
,
E.
,
Buchner
,
B.
,
Pastoor
,
W.
, and
Tveitnes
,
T.
,
2004
, “
The Numerical Simulation of LNG Sloshing With an Improved Volume of Fluid Method
,”
ASME
Paper No. OMAE2004-51085.10.1115/OMAE2004-51085
7.
Wemmenhove
,
R.
,
Lotts
,
E.
,
Luppes
,
R.
, and
Veldman
,
A. E. P.
,
2005
, “
Modeling Two-Phase Flow With Offshore Applications
,”
ASME
Paper No. OMAE2005-67460.10.1115/OMAE2005-67460
8.
Sames
,
P. C.
,
Marcouly
,
D.
, and
Schellin
,
T. E.
,
2002
, “
Sloshing in Rectangular and Cylindrical Tanks
,”
J. Ship Res.
,
46
(
3
), pp.
186
200
.
9.
Brizzolara
,
S.
,
Savio
,
L.
,
Viviani
,
M.
,
Chen
,
Y.
,
Temarel
,
P.
,
Couty
,
N.
,
Hoflack
,
S.
,
Diebold
,
L.
,
Moirod
,
N.
, and
Souto Iglesias
,
A.
,
2011
, “
Comparison of Experimental and Numerical Sloshing Loads in Partially Filled Tanks
,”
Ships Offshore Struct.
,
6
(
1–2
), pp.
15
43
.10.1080/17445302.2010.522372
10.
Koshizuka
,
S.
,
Tamako
,
H.
, and
Oka
,
Y.
,
1995
, “
A Particle Method for Incompressible Viscous Flow With Fluid Fragmentation
,”
J. Comput. Fluid Dyn.
,
4
(
1
), pp.
29
46
.
11.
Landrini
,
M.
,
Colagrossi
,
A.
, and
Faltinsen
,
O. M.
,
2003
, “
Sloshing in 2-D Flows by the SPH Method
,”
8th International Conference on Numerical Ship Hydrodynamics
, Busan, Korea, Sept. 22–25.
12.
Colagrossi
,
A.
,
Lugni
,
C.
,
Greco
,
M.
, and
Faltinsen
,
O. M.
,
2004
, “
Experimental and Numerical Investigation of 2D Sloshing With Slamming
,”
19th International Workshop on Water Waves and Floating Bodies
, Cartona, Italy, Mar. 28–31.
13.
Lee
,
B. H.
,
2010
, “
Numerical Prediction of Fluid Impact Loads Using Improved Particle Method
,” Ph.D. thesis, Pusan National University, Busan, Korea.
14.
ABS
,
2006
,
Guidance Note on Strength Assessment of Membrane-Type LNG Containment Systems Under Sloshing Loads
,
American Bureau of Shipping
,
Houston, TX
.
15.
LR
,
2009
,
Ship Right-Sloshing Assessment Guidance Document for Membrane Tank LNG Operations
,
Lloyd's Register
,
London, UK
.
16.
Graczyk
,
M.
,
Moan
,
M. K.
, and
Wu
,
M. K.
,
2007
, “
Extreme Sloshing and Whipping-Induced Pressures and Structural Response in Membrane LNG Tanks
,”
Ships Offshore Struct.
,
2
(
3
), pp.
201
216
.10.1080/17445300701423049
17.
Hwang
,
J. O.
,
Chun
,
S. E.
,
Joh
,
K. H.
,
Cambos
,
P.
,
de Lauzon
,
J.
,
White
,
N.
,
Kim
,
M. S.
,
Park
,
J. B.
, and
Lee
,
J. M.
,
2014
, “
Direct Assessment of Structural Capacity Against Sloshing Using Dynamic Nonlinear FE Analysis
,” 24h International Offshore and Polar Engineering Conference, ISOPE, Busan, Korea, June 15–20.
18.
Ito
,
H.
,
Suh
,
Y. S.
,
Chun
,
S. E.
,
Satish Kumar
,
Y. V.
,
Ha
,
M. K.
,
Park
,
J. J.
,
Yu
,
H. C.
, and
Wang
,
B.
,
2008
, “
A Direct Assessment Approach for Structural Strength Evaluation of Cargo Containment System Under Sloshing inside LNGC Tanks based on Fluid Structure Interaction
,”
ASME
Paper No. OMAE2008-57572.10.1115/OMAE2008-57572
19.
Nam
,
S. K.
,
Kim
,
W. S.
,
Noh
,
B. J.
,
Shin
,
H. C.
, and
Choi
,
I. H.
,
2006
, “
The Parametric Study on the Response of Membrane Tanks in a Mark III Type LNG Carrier Using Fully Coupled Hydro-Elastic Model
,” International Conference on Ship and Offshore Technology, ICSOT, Busan, Korea.
20.
Nho
,
I. S.
,
Kim
,
S. C.
,
Jang
,
B. S.
, and
Lee
,
J. H.
,
2012
, “
Parametric Investigation on the Simplified Triangular Impulse of Sloshing Pressure and Categorization of the Structural Response on the Mark III LNG CCS
,” 22th International Offshore and Polar Engineering Conference, Rhodes, Greece, June 17–22.
21.
Shin
,
H. C.
,
Kim
,
H. S.
, and
Noh
,
B. J.
,
2009
, “
A Study on the Sloshing Strength Assessment Using Zooming Analysis Technique
,” 2009 Joint Conference of the Korean Association of Ocean Science and Technology Societies, Changwon, Korea, May 28–29, pp.
974
979
.
22.
Paik
,
J. K.
, and
Shin
,
Y. S.
,
2006
, “
Structural Damage and Strength Criteria for Ship Stiffened Panels Under Impact Pressure Actions Arising From Sloshing, Slamming and Green Water Loading
,”
Ships Offshore Struct.
,
1
(
3
), pp.
249
256
.10.1533/saos.2006.0109
23.
Pastoor
,
W.
,
Ostvold
,
T. K.
,
Byklum
,
E.
, and
Valsgard
,
S.
,
2005
,
Sloshing Load and Response in LNG Carriers for New Designs, New Operations and New Trades
,
GasTech 2005
,
Bilbao, Spain
.
24.
Graczyk
,
M.
, and
Moan
,
T.
,
2008
, “
A Probabilistic Assessment of Design Sloshing Pressure Time Histories in LNG Tanks
,”
Ocean Eng.
,
35
(
8–9
), pp.
834
855
.10.1016/j.oceaneng.2008.01.020
25.
Kuo
,
J. F.
,
Campbell
,
R. B.
,
Ding
,
Z.
,
Hoie
,
S. M.
,
Rinehart
,
A. J.
,
Sandstorm
,
R. E.
,
Yung
,
T. W.
,
Greer
,
M. N.
, and
Danaczko
,
M. A.
,
2009
, “
LNG Tank Sloshing Assessment Methodology: The New Generation
,”
ISOPE
,
19
(
4
), pp.
241
253
.
26.
Zhao
,
W. H.
,
Yang
,
J. M.
,
Hu
,
Z. Q.
, and
Wei
,
Y. F.
,
2011
, “
Recent Developments on the Hydrodynamics of Floating Liquid Natural Gas (FLNG)
,”
Ocean Eng.
,
38
(
14–15
), pp.
1555
1567
.10.1016/j.oceaneng.2011.07.018
27.
Buchner
,
B.
,
Van Dijk
,
A.
, and
De Wilde
,
J.
,
2001
, “
Numerical Multiple-Body Simulations of Side-by-Side Mooring to an FPSO
,” 11th International Offshore and Polar Engineering Conference, ISOPE, Stavanger, 663 Norway, June 17–22, Paper No. SOPE2001-JSC-285.
28.
Hong
,
S. Y.
,
Kim
,
J. H.
, and
Choi
,
Y. R.
,
2002
, “
Experimental Study on Behavior of Tandem and Side-by-Side Moored Vessels
,”
12th International Offshore and Polar Engineering Conference
, ISOPE, Kita-kyushu, Japan, May 26–31, pp. 841–847.
29.
Mamoun
,
N.
,
2007
, “
Time Domain Simulations of Side-by-Side Moored Vessels Lesson Learnt From a Benchmark Test
,”
ASME
Paper No. OMAE2007-29756.10.1115/OMAE2007-29756
30.
Molin
,
B.
,
Remy
,
F.
,
Rigaud
,
S.
, and
de Jouette
,
C.
,
2002
, “
LNG FPSO's: Frequency Domain, Coupled Analysis of Support and Liquid Cargo Motion
,”
10th International Congress of the International Maritime Association of the Mediterranean
, Crete, Greece, May 13–17.
31.
Malenica
,
S.
,
Zalar
,
M.
, and
Chen
,
X. B.
,
2003
, “
Dynamic Coupling of Seakeeping and Sloshing
,”
13th International Offshore and Polar Engineering Conference
, ISOPE, Honolulu, HI, May 25–30.
32.
Rognebakke
,
O. F.
, and
Faltinsen
,
O. M.
,
2003
, “
Coupling of Sloshing and Ship Motions
,”
J. Ship Res.
,
47
(
3
), pp.
208
221
.
33.
Newman
,
J. N.
,
2005
, “
Wave Effects on Vessels With Internal Tanks
,”
20th International Workshop on Water Waves and Floating Bodies
, Longyearbyen, Norway, May 29–June 1.
34.
Lee
,
S. J.
,
Kim
,
M. H.
,
Shin
,
Y. S.
, and
Kim
,
B. K.
,
2008
, “
The Effects of Tank Sloshing on the Coupled Responses of LNG Vessel and Floating Terminal
,”
18th International Offshore and Polar Engineering Conference
, ISOPE, Vancouver, Canada, July 6–11.
35.
Zhao
,
W. H.
,
Yang
,
J.
, and
Hu
,
Z.
,
2013
, “
Effects of Sloshing on the Global Motion Responses of FLNG
,”
Ships Offshore Struct.
,
8
(
2
), pp.
111
122
.10.1080/17445302.2012.691272
36.
Heurtier
,
J. M.
,
Ke
,
B. P.
, and
Fontaine
,
E.
,
2001
, “
Coupled Dynamic Response of Moored FPSO With Risers
,”
11th International Offshore and Polar Engineering Conference
, ISOPE, Stavanger, Norway, June 17–22.
37.
Wichers
,
J. E. W.
, and
Devlin
,
P. V.
,
2001
, “
Effect of Coupling of Mooring Lines and Risers on the Design Values for a Turret Moored FPSO in Deep Water Off the Gulf of Mexico
,”
Proceedings of the 11th International Offshore and Polar Engineering Conference
, ISOPE, Stavanger, Norway, June 17–22.
38.
Garrett
,
D. L.
,
Gordon
,
R. B.
, and
Chappell
,
J. F.
,
2002
, “
Mooring and Riser Induced Damping in Fatigue Sea States
,”
ASME
Paper No. OMAE2002-28550.10.1115/OMAE2002-28550
39.
Wichers
,
J. E. W.
,
1988
, “
A Simulation Model for a Single Point Moored Tanker
,” Ph.D. thesis, Delft University of Technology, Delft, The Netherlands.
40.
de Souza
,
J. R.
, and
Morishita
,
H. M.
,
2002
, “
Dynamic Behavior of a Turret FPSO in Single and Tandem Configurations in Realistic Sea Environments
,”
ASME
Paper No. OMAE2002-28134.10.1115/OMAE2002-28134
41.
Munipalli
,
J.
,
Pistani
,
F.
,
Thiagarajan
,
K. P.
,
Winsor
,
F.
, and
Colbourne
,
B.
,
2007
, “
Weathervaning Instabilities of a FPSO in Regular Waves and Consequence on Response Amplitude Operators
,”
ASME
Paper No. OMAE2007-29359.10.1115/OMAE2007-29359
42.
Paton
,
C. G.
,
Carra
,
C. J.
, and
Sincock
,
P.
,
2006
, “
Investigation of Sway/Yaw Motions of Deep Water FPSOs
,”
Proceedings of the Offshore Technology Conference
, OTC18039, Houston, TX, May 1–4.
43.
Paik
,
J. K.
, and
Czujko
,
J.
,
2009
, “
Explosion and Fire Engineering and Gas Explosion of FPSOs (Phase I): Hydrocarbon Releases on FPSOs-Review of HSE's Accident Database
,” Research Institute of Ship and Offshore Structural Design Innovation, Pusan National University, Busan, Korea, Final Report No. EFEF JIP-02.
44.
Paik
,
J. K.
, and
Czujko
,
J.
,
2010
, “
Explosion and Fire Engineering of FPSOs (Phase II): Definition of Fire and Gas Explosion Design Loads
,” Research Institute of Ship and Offshore Structural Design Innovation, Pusan National University, Busan, Korea, Final Report No. EFEF-03-R2.
45.
Paik
,
J. K.
, and
Czujko
,
J.
,
2011
, “
Explosion and Fire Engineering of FPSOs (EFEF JIP): Definition of Design Fire Loads
,” Berkshire (UK): Fire and Blast Information Group (FABIG).
46.
Paik
,
J. K.
,
Czujko
,
J.
,
Kim
,
B. J.
,
Seo
,
J. K.
,
Ha
,
Y. C.
,
Janiszewski
,
P.
, and
Musail
,
B.
,
2011
, “
Quantitative Assessment of Hydrocarbon Explosion and Fire Risks in Offshore Installations
,”
Mar. Struct.
,
24
(
2
), pp.
73
96
.10.1016/j.marstruc.2011.02.002
47.
Paik
,
J. K.
,
Kim
,
D. K.
,
Park
,
D. H.
,
Kim
,
H. B.
, and
Kim
,
M. S.
,
2012
, “
New Method for Assessing the Safety of Ships Damaged by Grounding
,”
Int. J. Maritime Eng., Trans. R. Inst. Nav. Archit.
,
154
(
A1
), pp.
1
20
.10.3940/rina.ijme.2012.a1.218
48.
Seo
,
J. K.
,
Kim
,
D. C.
,
Ha
,
Y. C.
,
Kim
,
B. J.
, and
Paik
,
J. K.
,
2013
, “
A Methodology for Determining Efficient Gas Detector Locations on Offshore Installations
,”
Ships Offshore Struct.
,
8
(
5
), pp.
524
535
.10.1080/17445302.2012.713219
49.
Youssef
,
S. A. M.
,
Kim
,
Y. S.
, and
Paik
,
J. K.
,
2014
, “
Hazard Identification and Probability Scenario Selection for Ship–Ship Collision Accidents
,”
Int. J. Mar. Eng., Trans. R. Inst. Nav. Archit.
,
156
(
A1
), pp.
61
80
.10.3940/rina.ijme.2014.a1.277
50.
Ye
,
K. Q.
,
1998
, “
Orthogonal Column Latin Hypercubes and Their Application in Computer Experiments
,”
J. Am. Stat. Assoc.
,
93
(
444
), pp.
1430
1439
.10.1080/01621459.1998.10473803
51.
Isherwood
,
R. M.
,
1973
, “
Wind Resistance of Merchant Ships
,”
Trans. R. Inst. Nav. Archit.
,
114
(
3
), pp.
327
338
.
52.
Blendermann
,
W.
,
1993
, “
Wind Loads on Moored and Manoeuvering Vessels
,”
ASME 12th International Conference on Offshore Mechanics and Arctic Engineering
, New York, June 20–24, pp. 183–189.
53.
Lee
,
D. H.
,
Kim
,
M. H.
,
Kwon
,
S. H.
,
Kim
,
J. W.
, and
Lee
,
Y. B.
,
2007
, “
A Parametric Sensitivity Study on LNG Tank Sloshing Loads by Numerical Simulations
,”
Ocean Eng.
,
34
(
1
), pp.
3
9
.10.1016/j.oceaneng.2006.03.014
54.
Paik
,
J. K.
,
Lee
,
J. J.
,
Shin
,
Y. S.
, and
Wang
,
G.
,
2004
, “
Design Principles and Criteria for Ship Structures Under Impact Pressure Actions Arising From Sloshing, Slamming and Green Seas
,”
Trans. Soc. Nav. Archit. Mar. Eng.
,
112
, pp.
292
313
.
55.
Anderson
,
T. W.
, and
Darling
,
D. A.
,
1954
, “
A Test of Goodness-of-Fit
,”
J. Am. Stat. Assoc.
,”
49
(
268
), pp.
765
769
.10.1080/01621459.1954.10501232
56.
Doane
,
D. P.
,
1976
, “
Aesthetic Frequency Classifications
,”
Am. Stat. Assoc.
,
30
(
4
), pp.
181
183
.10.2307/2683757
57.
Paik
,
J. K.
,
Thayamballi
,
A. K.
,
Park
,
Y. I.
, and
Hwang
,
J. S.
,
2004
, “
A Time-Dependent Corrosion Wastage Model for Seawater Ballast Tank Structures of Ships
,”
Corros. Sci.
,
46
(
2
), pp.
471
486
.10.1016/S0010-938X(03)00145-8
58.
Paik
,
J. K.
, and
Kim
,
D. K.
,
2012
, “
Advanced Method for the Development of an Empirical Model to Predict Time-Dependent Corrosion Wastage
,”
Corros. Sci.
,
63
, pp.
51
58
.10.1016/j.corsci.2012.05.015
59.
Alsobrooks
,
L.
,
Camilli
,
W.
,
Garrity
,
R.
,
Krafft
,
S.
,
McElligott
,
D.
, and
Ray
,
W.
,
2004
, “
Design of a Floating Liquefied Natural Gas Production Vessel for Timor Sea
,” OCEAN 407 Design of Ocean Engineering Facilities, Ocean Engineering Program, Texas A&M University, Houston, TX.
60.
MacGregor
,
J. R.
, and
Smith
,
S. N.
,
1994
, “
Some Techno-Economic Considerations in the Design of North Sea Production Monohulls
,”
Proceedings of the Offshore '94: Design and Development for Economic Hydrocarbon Production Conference
, London, Feb. 21, pp. 53–71, Paper No. 5.
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