U2 



Constant value 



n(n ,n ,n„) Unit normal vector directed into the fluid 



P Pressure 



q Three-dimensional source strength 



S Area of immersed cross section 



U (-U.O.O) Steady forward velocity vector 

 o 



->■ 



U„ Velocity vector due to oscillation 



Y Volumetric displacement 



Y Bessel function of second kind 

 o 



B Heading angle of incoming wave with respect to the 

 X-axis (3 = is the following wave and 3 = 180 is 

 the head wave) 



Y = 0.577... Euler constant 



A Length of incoming wave 



E,. Complex amplitude of ship motion 



a. Two-dimensional source strength 



(j) = ({)^ + 4) Total velocity potential 



(f). Potential due to steady forward motion 



cj) Unsteady potential due to oscillation 



(j)., j = 3,5 Two-dimensional potential for heave and pitch due to 

 harmonic motion 



, j = 3,5 Two-dimensional potential for heave and pitch due to 

 steady forward motion 



