22 



With this notation the equations of motion and continuity are: 



u„ + muu + mvu + wu - 2n(n + — )v = -m(P/p ) + ku + Am^V^u d^ 

 T X y z a o X zz 



v„ + muv + mvv + wv + 2n(ft + ^)u = -ni(P/p ) + icv + Am^V^v (2) 

 T X y z a o y zz 



gp/p^ = -(P/Po)z (3) 



w_^ = - iii2[(u/m)^ + (v/m) ] (1+) 



The simplified equation of state used in these computations is then 



p = p ( 1 - ote) 



o 

 The conservation equation for temperature is 



^ + ^^\ + n,vey + we^ = ^^^ + Am^V^e (5) 



In (5), 6 is 



6= 



1 e > 



0= z 



indicating that for stable stratification the vertical mixing is a constant 

 but for unstable cases effectively infinite . 



The boundary conditions are the appropriate ones for a basin bounded 

 on the east and west by two meridions one radian of longitude apart. To 

 the north and south the basin is bounded by two parallels of latitude one 

 radian of latitude apart. The south wall is placed 10 of latitude away 

 from the equator. Let x, y, z be the three coordinates of an interior 

 point of the basin. Then 



< X < X 



< y < Y 



-D < z < 



The boundary conditions on temperature are such that no heat is diffused 

 through the lateral walls or the ocean bottom. 



