Linearized Potential Flow Theory for ACVs in a Seaway 



L 4 L 2" L 2 + L1-L.1+ L4 



?2 Si 



/ 



52 



Thus we may write, 



^/(x,y, z) 



4ir 



:g I* . ♦-I 1 ) dS + 



1 r 2 



(*" 



|f-o|f,aW 



V 



4 7Tg 



Lt (fr> (¥G, - G¥t +-4t^ *G) dr> 



{ " ^1 T ~ 



L 4- L H 



(V. 12) 



where we have denoted by S the part of the plane z = contained 

 within the IFS. 



It will be recalled that L is the boundary of the ACV on the 

 water surface. This curve may be sub-divided as follows : 



L = L + L + I, + L„ 

 H 1+ B 2- S 



where L. + and L - are the intersections of the outer hull surfaces 



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