Linearized Potential Flow Theory for ACVs in a Seaway 



/3 / / x p dxdy = p/x dy + mg 



We thus have the set of equations 



Z 100 " X A 



, JvNjfr (x-,b,z-) ah dx , dz , 



100 gA JL/ 1000 dz' v ' 



s x 



^010 + h G%10 = ° if 



if /jfp dx dy ji (6-15) 



r x 



x A e 



2V 



010 A 010 gA 



! /K 



~a~ + *■ 



a h z 



oioo , a z . ) dx ' dz ' 



26 , _ 



PgA 



< S 100 + h G Wff P o dxdy (6 " 16) 



100 pA x. 100 gAx.-VL I T' dx' 



I *iooo x ,] 



g Ax A -y L 



In 



-■■■-ahi *iooo s 



x' 



(6-17) 



< x 100 + h G %0>/, Xp o d ^ + (2X 100 + h G "l00> (V) S 



B + S 



--fe/pl^ + l^o^' 0) «* (6-18) 



2 ^100 + h G 6 100 



/ m A 

 )/xp o dy + (2x 100 + h G e i00 )^— jg 



+ g 



oio r\ g 



A\ ^"2 



p\— ) - f-y-j (h G + - B )J pg * 010 rr; "A 



= 2p// V (z' +h rr ) r 



°ff[ 



T' d *' 



+ V (z'+hj 



a h 2 



ah. 



T" nx" " X dz 1 



<J> + + 



0100 . 

 x' 



* 



0100 



dx'dz' + 



+ ^ hT ff P °^ l000 XX ^^^ ^^ 



(6-19) 



145 



