Analysis of Ship-Side Wave Profiles 



REPLY TO DISCUSSION 



Kazuhiro Mori 



University of Tokyo 

 Tokyo 3 Japan 



It is true that the solution of the integral equation can yield 

 only an approximation because the source density is assumed to be 

 independent of the depth coordinate, but the wave pattern calculated 

 from the obtained source (Figure 23) shows the rather well agreement 

 with the measured one (Figure 20). Moreover the wavemaking resist- 

 ance which is calculated in the same way agrees well with the results 

 of the towing tank test (Figures 25, 26). This is the reason why the 

 hull-side wave analysis is adopted here to find out the effective wave- 

 making source of a ship rather than far -field analysis. Besides it is 

 conformed that the variation of the source to the depth direction is 

 small. 



As for the second comment, the ship-side wave profile, in 

 this paper, is calculated at the actual lateral coordinate of the hull, 

 as Professor Landweber has mentioned. 



From the Green's theorem and the free surface condition, 

 the velocity potential can be written, 



*(p) = /; WQ>£o<p.°>-«HK--Hte-°is»| dy 



here, S stands for the hull surface and C the real hull water line 

 respectively. The second term is the line integration, which is com- 

 posed by sources and doublets on Z = . 



At the first step, assuming that the contribution of the first 

 term is equivalent to the center plane source, the velocity potential of 

 the first term is calculated. Next, using the first step values, the 

 contribution of the second term can be calculated. This may be the 

 iterative method to solve the integral equation. Figure A shows the 

 results of this calculation. Though the iteration has done only once, 

 the sum of the both terms shows the fairly well agreement compared 

 with the results of the wave-analysis. 



757 



