Kf. Cheung et al., WAVE DIFFRACTION AROUND 3-DIMENSIONAL BODIES IN A CURRENT, Journal of offshore mechanics and Arctic engineering, 118(4), 1996, pp. 247-252
The effects of a collinear current on the diffraction of regular waves
around three-dimensional surface-piercing bodies are examined. With t
he current speed assumed to be small, the boundary-value problem is se
parated into a steady current problem with a rigid wall condition. app
lied at the still water level and a linear wave propagation problem in
the resulting current field The boundary conditions of the wave propa
gation problem are satisfied by a time-stepping procedure and the fiel
d solution is obtained by an integral equation method. Free surface pr
ofiles, runup, and wave forces are described for a vertical circular c
ylinder in combined waves and a current. The current is shown to affec
t significantly the steady drift force and runup predictions. Comparis
ons of the computed wave forces are made with a previous numerical sol
ution involving a semi-immersed sphere in deep water, and indicate goo
d agreement.