Equation of State: 



P = p(T,S) (2.29) 



2 2 



where P=gD/L f , H is the sum of local depth and surface displacement, and the 

 higher order terms (H.O.T.) containing horizontal gradients of the water depth 

 can be generally neglected in the computation. The exact form of the equation 

 of state is discussed in Appendix C. The vertical velocity in the stretched 

 coordinates, u, is computed from: 



L r ( Ml + .3Hv_\ do + g(^"^p) r (Ml + jHv. \ jj 



1 

 H 



(2.30) 



Dimensionless Boundary Conditions 



The boundary conditions, in the transformed coordinates and in 

 non-dimensional form, at the surface (o=0) are: 



*v [fo' il) ' ™ ''"• 'sy); 



while at the bottom (o=-l) are: 



'v [Vo'Vo] =?;(^bs.-^by)=-(^DHC, (u^.v^) (u^, v^ ) ; 



u, = 0; — = 0; ^ = (2.32) 



do do 



35 



