'0 V 



. , 3u 3v 



(^bx.^by^ = pCjj (Vv^)' ' (u^.v^) 



[9) 



the 



where t. and t. are the bottom shear stresses, C^ ib tuc 

 skin-friction coefricient, and (u , v ) are the velocities at the first 

 grid point above the bottom, and (b) neat flux (or temperature) and the 

 salt flux are specified. 



Grid Structure 



Anticipating appreciable variation of bottom topography in the 

 horizontal direction, the x,y,z coordinate system is 

 vertically-stretched to a x,y,o coordinate system, such that an equal 

 number of grid points exist in the shallow coastal and the deep 

 offshore areas (Figure 2a). The transformation takes the form: 



- z - C (x,y) _ z-£ 

 ° " h(x,y) + dx,y) " H 



(10) 



where h (x.y) is the local water depth and ;{x,y) is the free-surface 



a. y 



r 



w 



(b) 



Figure 2(a). Vertical Stretching of the Coordinates, 



(b). Horizontal Stretching of the Coordinates. 



270 



Sheng 



