The effects of a collinear current on the diffraction of regular waves around three-dimensional surface-piercing bodies are examined. With the current speed assumed to be small, the boundary-value problem is separated into a steady current problem with a rigid wall condition applied at the still water level and a linear wave propagation problem in the resulting current field. The boundary conditions of the wave propagation problem are satisfied by a time-stepping procedure and the field solution is obtained by an integral equation method. Free surface profiles, runup, and wave forces are described for a vertical circular cylinder in combined waves and a current. The current is shown to affect significantly the steady drift force and runup predictions. Comparisons of the computed wave forces are made with a previous numerical solution involving a semi-immersed sphere in deep water, and indicate good agreement.

1.
Ertekin
R. C.
,
Liu
Y. Z.
, and
Padmanabhan
B.
,
1994
, “
Interaction of Incoming Waves With a Steady Intake-Pipe Flow
,”
ASME JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING
, Vol.
116
, pp.
214
220
.
2.
Grue
J.
, and
Palm
E.
,
1985
, “
Wave Radiation and Wave Diffraction From a Submerged Body in a Uniform Current
,”
Journal of Fluid Mechanics
, Vol.
151
, pp.
257
278
.
3.
Grue
J.
, and
Palm
E.
,
1993
, “
The Mean Drift Force and Yaw Moment on Marine Structures in Waves and Current
,”
Journal of Fluid Mechanics
, Vol.
250
, pp.
121
142
.
4.
Grue
J.
, and
Biberg
D.
,
1993
, “
Wave Forces on Marine Structures With Small Speed in Water of Restricted Depth
,”
Applied Ocean Research
, Vol.
15
, No.
2
, pp.
121
135
.
5.
Isaacson
M.
, and
Cheung
K. F.
,
1992
, “
Second-Order Wave Diffraction in Three Dimensions
,”
ASCE Journal of Waterway, Port, Coastal, and Ocean Engineering
, Vol.
118
, No.
5
, pp.
496
516
.
6.
Isaacson
M.
, and
Cheung
K. F.
,
1993
, “
Time-Domain Solution for Wave-Current Interactions With a Two-Dimensional Body
,”
Applied Ocean Research
, Vol.
15
, No.
1
, pp.
39
52
.
7.
Nossen
J.
,
Grue
J.
, and
Palm
E.
,
1991
, “
Wave Forces on Three-Dimensional Floating Bodies With Small Forward Speed
,”
Journal of Fluid Mechanics
, Vol.
227
, pp.
135
160
.
8.
Orlanski
I.
,
1976
, “
A Simple Boundary Condition for Unbounded Hyperbolic Flows
,”
Journal of Computational Physics
, Vol.
21
, pp.
251
269
.
9.
Wu
G. X.
, and
Eatock Taylor
R.
,
1987
, “
Hydrodynamic Forces on Submerged Oscillating Cylinders at Forward Speed
,”
Proceedings of Royal Society of London
, Series A, Vol.
414
, pp.
149
170
.
10.
Wu
G. X.
, and
Eatock Taylor
R.
,
1990
, “
The Hydrodynamic Force on an Oscillating Ship With Low Forward Speed
,”
Journal of Fluid Mechanics
, Vol.
211
, pp.
333
353
.
11.
Wu
G. X.
,
1991
, “
Hydrodynamic Forces on a Submerged Cylinder Advancing in Water Waves of Finite Depth
,”
Journal of Fluid Mechanics
, Vol.
224
, pp.
645
659
.
12.
Yang
C.
, and
Ertekin
R. C.
,
1992
, “
Numerical Simulation of Nonlinear Wave Diffraction by a Vertical Cylinder
,”
ASME JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING
, Vol.
114
, pp.
36
44
.
13.
Zhao
R.
, and
Faltinsen
O. M.
,
1988
, “
Interaction Between Waves and Current on a Two-Dimensional Body in the Free Surface
,”
Applied Ocean Research
, Vol.
10
, No.
2
, pp.
87
99
.
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