CHAPTER II 



THEORETICAL AND NUMERICAL MODEL 



1. Theoretical mcxiel 



a) Basic equations 



The vertically integrated momentum and mass conservation 

 equations for quasi-hydrostatic (large scale) disturbances in a two- 

 layer variable depth basin are, for the upper layer, 



aM-^/at + fkxMj^ + P3^gHiV(hj^+h2) = F-^, (1) 



Pl Shj^/at + V-Mj^ = 0, (2) 



and for the lower layer, 



aM2/at + fkxM2 + gH2V(p2^h;,^+P2h2) = ^2' ^-^^ 



P2 ah2/9t + V-M2 = 0, (4) 



-♦ 

 where M is the mass transport per unit width, f is the Coriolis 



-» 

 parameter, k is the vertical unit vector, p is the water density, 



g is the gravitational acceleration, H is the mean depth, H+h is the 



instantaneous depth, F is the external forcing and dissipation 



defined as: 



(5) 



*2^*'a' 



