Faltinsen 
REPLY TO DISCUSSION 
Odd Faltinsen 
Det Norske Verttas 
Oslo, Norway 
The first limitation that I mentioned in my presentation was 
the small wave length assumption. I would guess that the upper limit 
for using the theory would be for a wave length divided by the length 
of the ship between 0.5 and 0.75. Another limitation is that the theo- 
ry is not valid near the bow or the stern of the ship. Near the bow 
there is a singularity in the solution. For practical purposes I think 
one can use the Froude-Kriloff theory in the bow region. 
The theory is not restricted to circular cross-sections and it 
is shown in the main text how to solve the problem for arbitrary cross- 
sections. But no calculations have been performed for arbitrary ship 
forms. Further it remains to test how slender the ship ought to be for 
the theory to be valid. But the slenderness assumption is not expect- 
ed to be a great problem for conventional ship forms. 
To get a similar theory for an arbitrary wave length does not 
seam easy. However, for the long wavelength range one can use the 
Froude-Kriloff theory to find the pressure. 
I do not find the question about linear superposition to be ap- 
propriate in this context. But I agree that the linear superposition 
principle can be questionable in the case of roll. Further I did not 
hear good enough Dr. Kim's question about the strip method. 
DISCUSSION 
Cheung-Hun C, Kim 
Stevens Instttute of Technology 
Hoboken, New-Jersey, U.S.A. 
Dr Faltinsen evaluated the pressure distribution along the 
1842 
