ABSTRACT 



The study presents a new integral identity for the velocity 

 potential of three-dimensional flow about a ship moving with 

 constant speed in regular waves. This integral identity is 

 valid outside, inside, and exactly on the surface of the ship, 

 and is equivalent to the set of three classical identities valid 

 strictly outside, inside, and on the ship's surface, respectively. 

 For the usual problem of ship motions in a regular sea, the 

 integral identity obtained in this study yields an integro- 

 differential equation for determining the velocity potential on 

 the ship's surface. A recurrence relation for solving the pro- 

 posed new integro-dif f erential equation is presented. 



ADMINISTRATIVE INFORMATION 

 The research reported here was performed under the Numerical Ship Hydrodynamics 

 Program at the David W. Taylor Naval Ship Research and Development Center (DTNSRDC) . 

 This program is jointly supported by the Office of Naval Research under Program 

 Element 61153N, Task Area RR0140302, and by the Independent Research Program at 

 DTNSRDC under Program Element 61152N, Task Area ZR0230101, and using Work Unit 

 1542-018. 



