The differential equations appropriate for tropical or extratropical 

 storm surge problems on the open coast and in enclosed and semienclosed 

 basins are as follows; 



H; »M^, ^ »M^ ^ as ^ a , ,„ il , II' _ :^ , W,P (3-50) 



9t ax 3y ^ 3x ^ ax ^ 3x p p ^ 



o s 



c a 



■C « 

 " c 



av 9M 3M as aj af 'sy 'by 



^ + -7^+.=~^"g°;- + g°r + g°^'"n"„^%P t3-51) 

 at ay ax ay 9y ay p p > 



as 3U av 



— + — + — = P . (3-52) 



at dx ay 



where 



S S S 



M^^ = / uMz; M^^ = / vMz; M^^ = / uvdz; 

 -d -d -d 



S S 



/dz 

 d -d 



U = / udz; V = / vc 



The symbols are defined as: 



U, V = X and y components, respectively, of the volume 

 transport per unit width; 



t = time; 



Mj,^, Myy, M^j^ = momentum transport quantities; 

 f = 2(jj sin (|) = Coriolis parameter; 



3-94 



