Irrotational Non-linear Equations for Motion Bounded by 
a Free Surface and o Bottom of Variable Depth. 
Potential equation @,,+Oyy+ 22+ 0 (2.1) 
Bernoulli's equation os $1 - 5 ( + Oy? +027)-92Z (2.2) 
Boundary conditions: 
at Z=-h(x,y) 6, = 0 (2.3) 
at 7a igh n=g Ot-ag (OF + by? + O27) (2.4) 
at Z=n nye- Oz (2.5) 
Irrotational Linear Equations for Motion Bounded by a 
Free Surface and a Bottom of Variable Depth. 
Potential equation Oxx + Oyy + Ozz = O (2.6) 
Bernoulli's equation 5 = Ot - 9Z (2.7) 
Boundary conditions: 
at Z=-h(x,y) 162 (2.8) 
ate Z= 0 =9 Ot (2.9) 
ay Ze© ny=- Oz (2.10) 
PRAT Es Pak 
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