Wave Forces on a Restratned Shtp tn Head-Sea Waves 
The body boundary condition (52) together with (55) gives 
ay own 7. KZ 
Pol ay Ws ae ee ie ae 
(70) 
= [ivn - yn gh Ba on. 2 = hte, y) 
1 Coane 
A last condition on wW is that it must match with the far-field solu- 
tion. 
As in the zero-speed problem, we stretch coordinates 
5 Re Ge ene ee ot = SEIN, on OK Ce (71) 
to express that ~ varies very slowly in the x-direction compared 
with the variation of y in the transverse plane. 
We assume an asymptotic expansion of wy of the form 
v~>) ¥ (X,Y, Z:€ ) (72) 
Mhenet gigi =~ oft) as «.— 0) for fixed X,Y, Z. 
As in the zero-speed problem we introduce 
ke ==) vie (73) 
and 
ex = (74) 
w 
fe) 
1¥93 
