Experimental investigations were mainly carried out to clarify the influence of the seabed proximity on hydrodynamic forces on a submarine piggyback pipeline under regular and irregular wave action. Nondimensional force coefficients for drag, inertia and lift on the piggyback pipeline were obtained with an equivalent diameter based on the Morison equation. The effect of the gap ratio e/D between the bottom of the large pipeline and the seabed on force coefficients of the piggyback pipeline was studied. The results indicated that the force coefficients initially decreased and then remained constant when e/D was beyond 0.5. In addition, a two-dimensional hybrid numerical model, FEM-k-ω-VOF, was applied for a numerical analysis. A comparison of numerical and experimental results showed that the calculated values of wave forces agreed well with those of the experiments and that the numerical model can be employed to predict the hydrodynamic forces on the submarine piggyback pipeline.

References

References
1.
Danish Hydraulic Institute
,
1986
, “
Hydrodynamic Forces on Pipelines: Model Tests–Final Report Part 1
,”
PRCI/AGA Project No. PR-170–185
.
2.
Li
,
Y. C.
, and
Zhang
,
N. C.
,
1994
, “
The Hydrodynamic Characteristic of Submarine Piggyback Pipeline in Wave-Current Coexisting Field
,”
Proceedings of the 4th International Offshore and Polar Engineering Conference
,
Osaka, Japan
, Vol.
2
, pp.
77
84
.
3.
Kamarudin
,
M. H.
,
Thiagarajan
,
K. P.
, and
Czajko
,
A.
,
2006
, “
Analysis of Current-Induced Forces on Offshore Pipeline Bundles
,”
Proceedings of the 5th International Conference on CFD in the Process Industries
,
Melbourne, Australia
, Vol.
1
, pp.
1
6
.
4.
Kalghatgi
,
S. G.
, and
Sayer
,
P. G.
,
1997
, “
Hydrodynamic Forces on Piggyback Pipeline Configurations
,”
ASCE J. Water, Port, Coastal, Ocean Eng.
,
123
(
1
), pp.
16
22
.10.1061/(ASCE)0733-950X(1997)123:1(16)
5.
Zhao
,
M.
,
Cheng
,
L.
, and
Teng
,
B.
,
2007
, “
Numerical Modeling of Flow and Hydrodynamic Forces Around a Piggyback Pipeline Near the Seabed
,”
ASCE J. Water., Port, Coastal, Ocean Eng.
,
133
(
4
), pp.
286
295
.10.1061/(ASCE)0733-950X(2007)133:4(286)
6.
Branković
,
M.
,
Zeitoun
,
H.
,
Sutherland
,
J.
, and
Pearce
,
A.
,
2010
, “
Physical Modelling of Hydrodynamic Loads on Piggyback Pipelines in Combined Wave and Current Conditions
,”
Proceedings of the 29th International Conference on Ocean, Offshore and Arctic Engineering
,
Shanghai, China
, Vol.
5
, pp.
933
942
.
7.
Li
,
Y. C.
,
Wang
,
F. L.
, and
Kang
,
H. G.
,
1991
, “
Wave-Current Forces on Slender Circular Cylinders
,”
China Ocean Eng.
,
5
(
3
), pp.
287
310
.
8.
Wilcox
,
D. C.
,
1988
, “
Reassessment of the Scale-determining Equation for Advanced Turbulence Models
,”
AIAA J.
,
26
(
11
), pp.
1299
1310
.10.2514/3.10041
9.
Wilcox
,
D. C.
,
1994
, “
Simulation of Transition With a Two-Equation Turbulence Model
,”
AIAA J.
,
32
(
2
), pp.
247
255
.10.2514/3.59994
10.
Liang
,
D.
, and
Cheng
,
L.
,
2005
, “
Numerical Modeling of Flow and Scour Below a Pipeline in Currents. Part I: Flow Simulation
,”
Coastal Eng.
,
52
, pp.
25
42
.10.1016/j.coastaleng.2004.09.002
11.
Jiang
,
C. B.
, and
Kawahara
,
M.
,
1993
, “
The Analysis of Unsteady Incompressible Flows by a Three-Step Finite Element Method
,”
Int. J. Numer. Methods Fluids
,
16
, pp.
793
811
.10.1002/fld.1650160904
12.
Ashgriz
,
N.
,
Barbat
,
T.
, and
Wang
G.
,
2004
, “
A Computational Lagrangian-Eulerian Advection Remap for Free Surface Flows
,”
Int. J. Numer. Methods Fluids
,
44
, pp.
1
32
.10.1002/fld.620
13.
Lu
,
L.
,
Li
,
Y. C.
, and
Teng
,
B.
,
2008
, “
Numerical Simulation of Turbulent Free Surface Flow Over Obstruction
,”
J. Hydrodynam.
,
20
(
4
), pp.
414
423
.10.1016/S1001-6058(08)60075-X
14.
Sun
,
Y. W.
,
Chen
,
B.
, and
Kang
,
H. G.
,
2010
, “
Numerical Simulation of Broken Wave With the CLEAR-VOF-FEM Model
,”
Adv. Water Sci.
,
21
(
6
), pp.
795
800
(in Chinese).
15.
Zhao
,
X. Z.
,
Sun
,
Z. C.
, and
Liang
,
S. X.
,
2009
, “
A Numerical Study of the Transformation of Water Waves Generated in a Wave Flume
,”
Fluid Dyn. Res.
,
41
(
3
), p.
035510
.10.1088/0169-5983/41/3/035510
16.
Zhao
,
X. Z.
,
Hu
,
C. H.
,
Sun
,
Z. C.
,
2010
, “
Numerical Simulation of Extreme Wave Generation Using VOF Method
,”
J. Hydrodynam.
,
22
(
4
), pp.
466
477
.10.1016/S1001-6058(09)60078-0
17.
Yu
,
Y. X.
, and
Shi
,
X. H.
,
1994
, “
Hydrodynamic Coefficients for Grouping Piles Under the Action of Irregular Waves
,”
China Ocean Eng.
,
8
(
2
), pp.
123
134
.
18.
Li
,
Y. C.
,
Chen
,
B.
, and
Wang
,
G.
,
1996
, “
Physical Model Test and Numerical Simulation of Pipeline Under Wave Action
,”
Marine Sci. Bull.
,
15
(
4
), pp.
58
65
(in Chinese).
19.
Sarpkaya
,
T.
,
1976
, “
Forces on Cylinders Near a Plane Boundary in a Sinusoidally Oscillating Fluid
,”
ASME J. Fluids Eng.
,
98
, pp.
499
503
.10.1115/1.3448383
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