/[MITgcm]/MITgcm/model/src/ini_spherical_polar_grid.F
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revision 1.26 by jmc, Tue Jan 27 15:35:27 2009 UTC revision 1.27 by jmc, Sat Apr 17 18:25:12 2010 UTC
# Line 1  Line 1 
1  C $Header$  C $Header$
2  C $Name$  C $Name$
3    
4    c#include "PACKAGES_CONFIG.h"
5  #include "CPP_OPTIONS.h"  #include "CPP_OPTIONS.h"
6    
7  #undef  USE_BACKWARD_COMPATIBLE_GRID  #undef  USE_BACKWARD_COMPATIBLE_GRID
# Line 9  CBOP Line 10  CBOP
10  C     !ROUTINE: INI_SPHERICAL_POLAR_GRID  C     !ROUTINE: INI_SPHERICAL_POLAR_GRID
11  C     !INTERFACE:  C     !INTERFACE:
12        SUBROUTINE INI_SPHERICAL_POLAR_GRID( myThid )        SUBROUTINE INI_SPHERICAL_POLAR_GRID( myThid )
13    
14  C     !DESCRIPTION: \bv  C     !DESCRIPTION: \bv
15  C     /==========================================================\  C     *==========================================================*
16  C     | SUBROUTINE INI_SPHERICAL_POLAR_GRID                      |  C     | SUBROUTINE INI_SPHERICAL_POLAR_GRID
17  C     | o Initialise model coordinate system arrays              |  C     | o Initialise model coordinate system arrays
18  C     |==========================================================|  C     *==========================================================*
19  C     | These arrays are used throughout the code in evaluating  |  C     | These arrays are used throughout the code in evaluating
20  C     | gradients, integrals and spatial avarages. This routine  |  C     | gradients, integrals and spatial avarages. This routine
21  C     | is called separately by each thread and initialise only  |  C     | is called separately by each thread and initialise only
22  C     | the region of the domain it is "responsible" for.        |  C     | the region of the domain it is "responsible" for.
23  C     | Under the spherical polar grid mode primitive distances  |  C     | Under the spherical polar grid mode primitive distances
24  C     | in X and Y are in degrees. Distance in Z are in m or Pa  |  C     | in X and Y are in degrees. Distance in Z are in m or Pa
25  C     | depending on the vertical gridding mode.                 |  C     | depending on the vertical gridding mode.
26  C     \==========================================================/  C     *==========================================================*
27  C     \ev  C     \ev
28    
29  C     !USES:  C     !USES:
# Line 31  C     === Global variables === Line 33  C     === Global variables ===
33  #include "EEPARAMS.h"  #include "EEPARAMS.h"
34  #include "PARAMS.h"  #include "PARAMS.h"
35  #include "GRID.h"  #include "GRID.h"
36    c#ifdef ALLOW_EXCH2
37    c#include "W2_EXCH2_SIZE.h"
38    c#include "W2_EXCH2_TOPOLOGY.h"
39    c#include "W2_EXCH2_PARAMS.h"
40    c#endif /* ALLOW_EXCH2 */
41    
42  C     !INPUT/OUTPUT PARAMETERS:  C     !INPUT/OUTPUT PARAMETERS:
43  C     == Routine arguments ==  C     == Routine arguments ==
44  C     myThid -  Number of this instance of INI_CARTESIAN_GRID  C     myThid  :: my Thread Id Number
45        INTEGER myThid        INTEGER myThid
 CEndOfInterface  
46    
47  C     !LOCAL VARIABLES:  C     !LOCAL VARIABLES:
48  C     == Local variables ==  C     == Local variables ==
49  C     xG, yG - Global coordinate location.  C     xG0,yG0 :: coordinate of South-West tile-corner
50  C     xBase  - South-west corner location for process.  C     iG, jG  :: Global coordinate index. Usually used to hold
51  C     yBase  C             :: the south-west global coordinate of a tile.
52  C     zUpper - Work arrays for upper and lower  C     lat     :: Temporary variables used to hold latitude values.
53  C     zLower   cell-face heights.  C     bi,bj   :: tile indices
54  C     phi    - Temporary scalar  C     i, j    :: loop counters
 C     iG, jG - Global coordinate index. Usually used to hold  
 C              the south-west global coordinate of a tile.  
 C     bi,bj  - Loop counters  
 C     zUpper - Temporary arrays holding z coordinates of  
 C     zLower   upper and lower faces.  
 C     xBase  - Lower coordinate for this threads cells  
 C     yBase  
 C     lat, latN, - Temporary variables used to hold latitude  
 C     latS         values.  
 C     I,J,K  
55        INTEGER iG, jG        INTEGER iG, jG
56        INTEGER bi, bj        INTEGER bi, bj
57        INTEGER  I,  J        INTEGER i,  j
58        _RL lat, dlat, dlon, xG0, yG0        _RL lat, dlat, dlon, xG0, yG0
59    
   
60  C     "Long" real for temporary coordinate calculation  C     "Long" real for temporary coordinate calculation
61  C      NOTICE the extended range of indices!!  C      NOTICE the extended range of indices!!
62        _RL xGloc(1-Olx:sNx+Olx+1,1-Oly:sNy+Oly+1)        _RL xGloc(1-Olx:sNx+Olx+1,1-Oly:sNy+Oly+1)
# Line 80  C     Yes, I can explain this since I pu Line 75  C     Yes, I can explain this since I pu
75  C     with small domain (where Oly > Ny, as for instance, zonal-average  C     with small domain (where Oly > Ny, as for instance, zonal-average
76  C     case):  C     case):
77  C     This has no effect on the acuracy of the evaluation of iGl(I,bi)  C     This has no effect on the acuracy of the evaluation of iGl(I,bi)
78  C     and jGl(J,bj) since we take mod(a+OLx*Nx,Nx) and mod(b+OLy*Ny,Ny).  C     and jGl(j,bj) since we take mod(a+OLx*Nx,Nx) and mod(b+OLy*Ny,Ny).
79  C     But in case a or b is negative, then the FORTRAN function "mod"  C     But in case a or b is negative, then the FORTRAN function "mod"
80  C     does not return the matematical value of the "modulus" function,  C     does not return the matematical value of the "modulus" function,
81  C     and this is not good for your purpose.  C     and this is not good for your purpose.
82  C     This is why I add +OLx*Nx and +OLy*Ny to be sure that the 1rst  C     This is why I add +OLx*Nx and +OLy*Ny to be sure that the 1rst
83  C     argument of the mod function is positive.  C     argument of the mod function is positive.
84        INTEGER iGl,jGl        INTEGER iGl,jGl
85        iGl(I,bi) = 1+mod(myXGlobalLo-1+(bi-1)*sNx+I+Olx*Nx-1,Nx)        iGl(i,bi) = 1+MOD(myXGlobalLo-1+(bi-1)*sNx+i+Olx*Nx-1,Nx)
86        jGl(J,bj) = 1+mod(myYGlobalLo-1+(bj-1)*sNy+J+Oly*Ny-1,Ny)        jGl(j,bj) = 1+MOD(myYGlobalLo-1+(bj-1)*sNy+j+Oly*Ny-1,Ny)
87    c#ifdef ALLOW_EXCH2
88    c      INTEGER tN
89    c#endif /* ALLOW_EXCH2 */
90  CEOP  CEOP
91    
   
92  C     For each tile ...  C     For each tile ...
93        DO bj = myByLo(myThid), myByHi(myThid)        DO bj = myByLo(myThid), myByHi(myThid)
94         DO bi = myBxLo(myThid), myBxHi(myThid)         DO bi = myBxLo(myThid), myBxHi(myThid)
# Line 99  C     For each tile ... Line 96  C     For each tile ...
96  C--     "Global" index (place holder)  C--     "Global" index (place holder)
97          jG = myYGlobalLo + (bj-1)*sNy          jG = myYGlobalLo + (bj-1)*sNy
98          iG = myXGlobalLo + (bi-1)*sNx          iG = myXGlobalLo + (bi-1)*sNx
99    c#ifdef ALLOW_EXCH2
100    c        IF ( W2_useE2ioLayOut ) THEN
101    cC- note: does not work for non-uniform delX or delY
102    c          tN = W2_myTileList(bi,bj)
103    c          iG = exch2_txGlobalo(tN)
104    c          jG = exch2_tyGlobalo(tN)
105    c        ENDIF
106    c#endif /* ALLOW_EXCH2 */
107    
108  C--   First find coordinate of tile corner (meaning outer corner of halo)  C--   First find coordinate of tile corner (meaning outer corner of halo)
109          xG0 = xgOrigin          xG0 = xgOrigin
# Line 108  C       Find the X-coordinate of the out Line 113  C       Find the X-coordinate of the out
113          ENDDO          ENDDO
114  C       Back-step to the outer grid-line of the "halo" region  C       Back-step to the outer grid-line of the "halo" region
115          DO i=1, Olx          DO i=1, Olx
116           xG0 = xG0 - delX( 1+mod(Olx*Nx-1+iG-i,Nx) )           xG0 = xG0 - delX( 1+MOD(Olx*Nx-1+iG-i,Nx) )
117          ENDDO          ENDDO
118  C       Find the Y-coordinate of the outer grid-line of the "real" tile  C       Find the Y-coordinate of the outer grid-line of the "real" tile
119          yG0 = ygOrigin          yG0 = ygOrigin
# Line 117  C       Find the Y-coordinate of the out Line 122  C       Find the Y-coordinate of the out
122          ENDDO          ENDDO
123  C       Back-step to the outer grid-line of the "halo" region  C       Back-step to the outer grid-line of the "halo" region
124          DO j=1, Oly          DO j=1, Oly
125           yG0 = yG0 - delY( 1+mod(Oly*Ny-1+jG-j,Ny) )           yG0 = yG0 - delY( 1+MOD(Oly*Ny-1+jG-j,Ny) )
126          ENDDO          ENDDO
127    
128  C--     Calculate coordinates of cell corners for N+1 grid-lines  C--     Calculate coordinates of cell corners for N+1 grid-lines
129          DO J=1-Oly,sNy+Oly +1          DO j=1-Oly,sNy+Oly +1
130           xGloc(1-Olx,J) = xG0           xGloc(1-Olx,j) = xG0
131           DO I=1-Olx,sNx+Olx           DO i=1-Olx,sNx+Olx
132  c         xGloc(I+1,J) = xGloc(I,J) + delX(1+mod(Nx-1+iG-1+i,Nx))  c         xGloc(i+1,j) = xGloc(i,j) + delX(1+mod(Nx-1+iG-1+i,Nx))
133            xGloc(I+1,J) = xGloc(I,J) + delX( iGl(I,bi) )            xGloc(i+1,j) = xGloc(i,j) + delX( iGl(i,bi) )
134           ENDDO           ENDDO
135          ENDDO          ENDDO
136          DO I=1-Olx,sNx+Olx +1          DO i=1-Olx,sNx+Olx +1
137           yGloc(I,1-Oly) = yG0           yGloc(i,1-Oly) = yG0
138           DO J=1-Oly,sNy+Oly           DO j=1-Oly,sNy+Oly
139  c         yGloc(I,J+1) = yGloc(I,J) + delY(1+mod(Ny-1+jG-1+j,Ny))  c         yGloc(i,j+1) = yGloc(i,j) + delY(1+mod(Ny-1+jG-1+j,Ny))
140            yGloc(I,J+1) = yGloc(I,J) + delY( jGl(J,bj) )            yGloc(i,j+1) = yGloc(i,j) + delY( jGl(j,bj) )
141           ENDDO           ENDDO
142          ENDDO          ENDDO
143    
144  C--     Make a permanent copy of [xGloc,yGloc] in [xG,yG]  C--     Make a permanent copy of [xGloc,yGloc] in [xG,yG]
145          DO J=1-Oly,sNy+Oly          DO j=1-Oly,sNy+Oly
146           DO I=1-Olx,sNx+Olx           DO i=1-Olx,sNx+Olx
147            xG(I,J,bi,bj) = xGloc(I,J)            xG(i,j,bi,bj) = xGloc(i,j)
148            yG(I,J,bi,bj) = yGloc(I,J)            yG(i,j,bi,bj) = yGloc(i,j)
149           ENDDO           ENDDO
150          ENDDO          ENDDO
151    
152  C--     Calculate [xC,yC], coordinates of cell centers  C--     Calculate [xC,yC], coordinates of cell centers
153          DO J=1-Oly,sNy+Oly          DO j=1-Oly,sNy+Oly
154           DO I=1-Olx,sNx+Olx           DO i=1-Olx,sNx+Olx
155  C         by averaging  C         by averaging
156            xC(I,J,bi,bj) = 0.25*(            xC(i,j,bi,bj) = 0.25 _d 0*(
157       &     xGloc(I,J)+xGloc(I+1,J)+xGloc(I,J+1)+xGloc(I+1,J+1) )       &     xGloc(i,j)+xGloc(i+1,j)+xGloc(i,j+1)+xGloc(i+1,j+1) )
158            yC(I,J,bi,bj) = 0.25*(            yC(i,j,bi,bj) = 0.25 _d 0*(
159       &     yGloc(I,J)+yGloc(I+1,J)+yGloc(I,J+1)+yGloc(I+1,J+1) )       &     yGloc(i,j)+yGloc(i+1,j)+yGloc(i,j+1)+yGloc(i+1,j+1) )
160           ENDDO           ENDDO
161          ENDDO          ENDDO
162    
163  C--     Calculate [dxF,dyF], lengths between cell faces (through center)  C--     Calculate [dxF,dyF], lengths between cell faces (through center)
164          DO J=1-Oly,sNy+Oly          DO j=1-Oly,sNy+Oly
165           DO I=1-Olx,sNx+Olx           DO i=1-Olx,sNx+Olx
166  C         by averaging  C         by averaging
167  c         dXF(I,J,bi,bj) = 0.5*(dXG(I,J,bi,bj)+dXG(I,J+1,bi,bj))  c         dxF(i,j,bi,bj) = 0.5*(dxG(i,j,bi,bj)+dxG(i,j+1,bi,bj))
168  c         dYF(I,J,bi,bj) = 0.5*(dYG(I,J,bi,bj)+dYG(I+1,J,bi,bj))  c         dyF(i,j,bi,bj) = 0.5*(dyG(i,j,bi,bj)+dyG(i+1,j,bi,bj))
169  C         by formula  C         by formula
170            lat = yC(I,J,bi,bj)            lat = yC(i,j,bi,bj)
171            dlon = delX( iGl(I,bi) )            dlon = delX( iGl(i,bi) )
172            dlat = delY( jGl(J,bj) )            dlat = delY( jGl(j,bj) )
173            dXF(I,J,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad            dxF(i,j,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad
174  #ifdef    USE_BACKWARD_COMPATIBLE_GRID  #ifdef    USE_BACKWARD_COMPATIBLE_GRID
175            dXF(I,J,bi,bj) = delX(iGl(I,bi))*deg2rad*rSphere*            dxF(i,j,bi,bj) = delX(iGl(i,bi))*deg2rad*rSphere*
176       &                     COS(yc(I,J,bi,bj)*deg2rad)       &                     COS(yC(i,j,bi,bj)*deg2rad)
177  #endif    /* USE_BACKWARD_COMPATIBLE_GRID */  #endif    /* USE_BACKWARD_COMPATIBLE_GRID */
178            dYF(I,J,bi,bj) = rSphere*dlat*deg2rad            dyF(i,j,bi,bj) = rSphere*dlat*deg2rad
179           ENDDO           ENDDO
180          ENDDO          ENDDO
181    
182  C--     Calculate [dxG,dyG], lengths along cell boundaries  C--     Calculate [dxG,dyG], lengths along cell boundaries
183          DO J=1-Oly,sNy+Oly          DO j=1-Oly,sNy+Oly
184           DO I=1-Olx,sNx+Olx           DO i=1-Olx,sNx+Olx
185  C         by averaging  C         by averaging
186  c         dXG(I,J,bi,bj) = 0.5*(dXF(I,J,bi,bj)+dXF(I,J-1,bi,bj))  c         dxG(i,j,bi,bj) = 0.5*(dxF(i,j,bi,bj)+dxF(i,j-1,bi,bj))
187  c         dYG(I,J,bi,bj) = 0.5*(dYF(I,J,bi,bj)+dYF(I-1,J,bi,bj))  c         dyG(i,j,bi,bj) = 0.5*(dyF(i,j,bi,bj)+dyF(i-1,j,bi,bj))
188  C         by formula  C         by formula
189            lat = 0.5*(yGloc(I,J)+yGloc(I+1,J))            lat = 0.5 _d 0*(yGloc(i,j)+yGloc(i+1,j))
190            dlon = delX( iGl(I,bi) )            dlon = delX( iGl(i,bi) )
191            dlat = delY( jGl(J,bj) )            dlat = delY( jGl(j,bj) )
192            dXG(I,J,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad            dxG(i,j,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad
193            if (dXG(I,J,bi,bj).LT.1.) dXG(I,J,bi,bj)=0.            if (dxG(i,j,bi,bj).LT.1.) dxG(i,j,bi,bj)=0.
194            dYG(I,J,bi,bj) = rSphere*dlat*deg2rad            dyG(i,j,bi,bj) = rSphere*dlat*deg2rad
195           ENDDO           ENDDO
196          ENDDO          ENDDO
197    
198  C--     The following arrays are not defined in some parts of the halo  C--     The following arrays are not defined in some parts of the halo
199  C       region. We set them to zero here for safety. If they are ever  C       region. We set them to zero here for safety. If they are ever
200  C       referred to, especially in the denominator then it is a mistake!  C       referred to, especially in the denominator then it is a mistake!
201          DO J=1-Oly,sNy+Oly          DO j=1-Oly,sNy+Oly
202           DO I=1-Olx,sNx+Olx           DO i=1-Olx,sNx+Olx
203            dXC(I,J,bi,bj) = 0.            dxC(i,j,bi,bj) = 0.
204            dYC(I,J,bi,bj) = 0.            dyC(i,j,bi,bj) = 0.
205            dXV(I,J,bi,bj) = 0.            dxV(i,j,bi,bj) = 0.
206            dYU(I,J,bi,bj) = 0.            dyU(i,j,bi,bj) = 0.
207            rAw(I,J,bi,bj) = 0.            rAw(i,j,bi,bj) = 0.
208            rAs(I,J,bi,bj) = 0.            rAs(i,j,bi,bj) = 0.
209           ENDDO           ENDDO
210          ENDDO          ENDDO
211    
212  C--     Calculate [dxC], zonal length between cell centers  C--     Calculate [dxC], zonal length between cell centers
213          DO J=1-Oly,sNy+Oly          DO j=1-Oly,sNy+Oly
214           DO I=1-Olx+1,sNx+Olx ! NOTE range           DO i=1-Olx+1,sNx+Olx ! NOTE range
215  C         by averaging  C         by averaging
216            dXC(I,J,bi,bj) = 0.5D0*(dXF(I,J,bi,bj)+dXF(I-1,J,bi,bj))            dxC(i,j,bi,bj) = 0.5 _d 0*(dxF(i,j,bi,bj)+dxF(i-1,j,bi,bj))
217  C         by formula  C         by formula
218  c         lat = 0.5*(yC(I,J,bi,bj)+yC(I-1,J,bi,bj))  c         lat = 0.5*(yC(i,j,bi,bj)+yC(i-1,j,bi,bj))
219  c         dlon = 0.5*(delX( iGl(I,bi) ) + delX( iGl(I-1,bi) ))  c         dlon = 0.5*(delX( iGl(i,bi) ) + delX( iGl(i-1,bi) ))
220  c         dXC(I,J,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad  c         dxC(i,j,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad
221  C         by difference  C         by difference
222  c         lat = 0.5*(yC(I,J,bi,bj)+yC(I-1,J,bi,bj))  c         lat = 0.5*(yC(i,j,bi,bj)+yC(i-1,j,bi,bj))
223  c         dlon = (xC(I,J,bi,bj)+xC(I-1,J,bi,bj))  c         dlon = (xC(i,j,bi,bj)+xC(i-1,j,bi,bj))
224  c         dXC(I,J,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad  c         dxC(i,j,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad
225           ENDDO           ENDDO
226          ENDDO          ENDDO
227    
228  C--     Calculate [dyC], meridional length between cell centers  C--     Calculate [dyC], meridional length between cell centers
229          DO J=1-Oly+1,sNy+Oly ! NOTE range          DO j=1-Oly+1,sNy+Oly ! NOTE range
230           DO I=1-Olx,sNx+Olx           DO i=1-Olx,sNx+Olx
231  C         by averaging  C         by averaging
232            dYC(I,J,bi,bj) = 0.5*(dYF(I,J,bi,bj)+dYF(I,J-1,bi,bj))            dyC(i,j,bi,bj) = 0.5 _d 0*(dyF(i,j,bi,bj)+dyF(i,j-1,bi,bj))
233  C         by formula  C         by formula
234  c         dlat = 0.5*(delY( jGl(J,bj) ) + delY( jGl(J-1,bj) ))  c         dlat = 0.5*(delY( jGl(j,bj) ) + delY( jGl(j-1,bj) ))
235  c         dYC(I,J,bi,bj) = rSphere*dlat*deg2rad  c         dyC(i,j,bi,bj) = rSphere*dlat*deg2rad
236  C         by difference  C         by difference
237  c         dlat = (yC(I,J,bi,bj)+yC(I,J-1,bi,bj))  c         dlat = (yC(i,j,bi,bj)+yC(i,j-1,bi,bj))
238  c         dYC(I,J,bi,bj) = rSphere*dlat*deg2rad  c         dyC(i,j,bi,bj) = rSphere*dlat*deg2rad
239           ENDDO           ENDDO
240          ENDDO          ENDDO
241    
242  C--     Calculate [dxV,dyU], length between velocity points (through corners)  C--     Calculate [dxV,dyU], length between velocity points (through corners)
243          DO J=1-Oly+1,sNy+Oly ! NOTE range          DO j=1-Oly+1,sNy+Oly ! NOTE range
244           DO I=1-Olx+1,sNx+Olx ! NOTE range           DO i=1-Olx+1,sNx+Olx ! NOTE range
245  C         by averaging (method I)  C         by averaging (method I)
246            dXV(I,J,bi,bj) = 0.5*(dXG(I,J,bi,bj)+dXG(I-1,J,bi,bj))            dxV(i,j,bi,bj) = 0.5 _d 0*(dxG(i,j,bi,bj)+dxG(i-1,j,bi,bj))
247            dYU(I,J,bi,bj) = 0.5*(dYG(I,J,bi,bj)+dYG(I,J-1,bi,bj))            dyU(i,j,bi,bj) = 0.5 _d 0*(dyG(i,j,bi,bj)+dyG(i,j-1,bi,bj))
248  C         by averaging (method II)  C         by averaging (method II)
249  c         dXV(I,J,bi,bj) = 0.5*(dXG(I,J,bi,bj)+dXG(I-1,J,bi,bj))  c         dxV(i,j,bi,bj) = 0.5*(dxG(i,j,bi,bj)+dxG(i-1,j,bi,bj))
250  c         dYU(I,J,bi,bj) = 0.5*(dYC(I,J,bi,bj)+dYC(I-1,J,bi,bj))  c         dyU(i,j,bi,bj) = 0.5*(dyC(i,j,bi,bj)+dyC(i-1,j,bi,bj))
251           ENDDO           ENDDO
252          ENDDO          ENDDO
253    
254  C--     Calculate vertical face area (tracer cells)  C--     Calculate vertical face area (tracer cells)
255          DO J=1-Oly,sNy+Oly          DO j=1-Oly,sNy+Oly
256           DO I=1-Olx,sNx+Olx           DO i=1-Olx,sNx+Olx
257            lat=0.5*(yGloc(I,J)+yGloc(I+1,J))            lat=0.5 _d 0*(yGloc(i,j)+yGloc(i+1,j))
258            dlon=delX( iGl(I,bi) )            dlon=delX( iGl(i,bi) )
259            dlat=delY( jGl(J,bj) )            dlat=delY( jGl(j,bj) )
260            rA(I,J,bi,bj) = rSphere*rSphere*dlon*deg2rad            rA(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad
261       &        *abs( sin((lat+dlat)*deg2rad)-sin(lat*deg2rad) )       &        *ABS( SIN((lat+dlat)*deg2rad)-SIN(lat*deg2rad) )
262  #ifdef    USE_BACKWARD_COMPATIBLE_GRID  #ifdef    USE_BACKWARD_COMPATIBLE_GRID
263            lat=yC(I,J,bi,bj)-delY( jGl(J,bj) )*0.5 _d 0            lat=yC(i,j,bi,bj)-delY( jGl(j,bj) )*0.5 _d 0
264            lon=yC(I,J,bi,bj)+delY( jGl(J,bj) )*0.5 _d 0            lon=yC(i,j,bi,bj)+delY( jGl(j,bj) )*0.5 _d 0
265            rA(I,J,bi,bj) = dyF(I,J,bi,bj)            rA(i,j,bi,bj) = dyF(i,j,bi,bj)
266       &    *rSphere*(SIN(lon*deg2rad)-SIN(lat*deg2rad))       &    *rSphere*(SIN(lon*deg2rad)-SIN(lat*deg2rad))
267  #endif    /* USE_BACKWARD_COMPATIBLE_GRID */  #endif    /* USE_BACKWARD_COMPATIBLE_GRID */
268           ENDDO           ENDDO
269          ENDDO          ENDDO
270    
271  C--     Calculate vertical face area (u cells)  C--     Calculate vertical face area (u cells)
272          DO J=1-Oly,sNy+Oly          DO j=1-Oly,sNy+Oly
273           DO I=1-Olx+1,sNx+Olx ! NOTE range           DO i=1-Olx+1,sNx+Olx ! NOTE range
274  C         by averaging  C         by averaging
275            rAw(I,J,bi,bj) = 0.5*(rA(I,J,bi,bj)+rA(I-1,J,bi,bj))            rAw(i,j,bi,bj) = 0.5 _d 0*(rA(i,j,bi,bj)+rA(i-1,j,bi,bj))
276  C         by formula  C         by formula
277  c         lat=yGloc(I,J)  c         lat=yGloc(i,j)
278  c         dlon=0.5*( delX( iGl(I,bi) ) + delX( iGl(I-1,bi) ) )  c         dlon=0.5*( delX( iGl(i,bi) ) + delX( iGl(i-1,bi) ) )
279  c         dlat=delY( jGl(J,bj) )  c         dlat=delY( jGl(j,bj) )
280  c         rAw(I,J,bi,bj) = rSphere*rSphere*dlon*deg2rad  c         rAw(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad
281  c    &        *abs( sin((lat+dlat)*deg2rad)-sin(lat*deg2rad) )  c    &        *abs( sin((lat+dlat)*deg2rad)-sin(lat*deg2rad) )
282           ENDDO           ENDDO
283          ENDDO          ENDDO
284    
285  C--     Calculate vertical face area (v cells)  C--     Calculate vertical face area (v cells)
286          DO J=1-Oly,sNy+Oly          DO j=1-Oly,sNy+Oly
287           DO I=1-Olx,sNx+Olx           DO i=1-Olx,sNx+Olx
288  C         by formula  C         by formula
289            lat=yC(I,J,bi,bj)            lat=yC(i,j,bi,bj)
290            dlon=delX( iGl(I,bi) )            dlon=delX( iGl(i,bi) )
291            dlat=0.5*( delY( jGl(J,bj) ) + delY( jGl(J-1,bj) ) )            dlat=0.5 _d 0*( delY( jGl(j,bj) ) + delY( jGl(j-1,bj) ) )
292            rAs(I,J,bi,bj) = rSphere*rSphere*dlon*deg2rad            rAs(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad
293       &        *abs( sin(lat*deg2rad)-sin((lat-dlat)*deg2rad) )       &        *ABS( SIN(lat*deg2rad)-SIN((lat-dlat)*deg2rad) )
294  #ifdef    USE_BACKWARD_COMPATIBLE_GRID  #ifdef    USE_BACKWARD_COMPATIBLE_GRID
295            lon=yC(I,J,bi,bj)-delY( jGl(J,bj) )            lon=yC(i,j,bi,bj)-delY( jGl(j,bj) )
296            lat=yC(I,J,bi,bj)            lat=yC(i,j,bi,bj)
297            rAs(I,J,bi,bj) = rSphere*delX(iGl(I,bi))*deg2rad            rAs(i,j,bi,bj) = rSphere*delX(iGl(i,bi))*deg2rad
298       &    *rSphere*(SIN(lat*deg2rad)-SIN(lon*deg2rad))       &    *rSphere*(SIN(lat*deg2rad)-SIN(lon*deg2rad))
299  #endif    /* USE_BACKWARD_COMPATIBLE_GRID */  #endif    /* USE_BACKWARD_COMPATIBLE_GRID */
300            IF (abs(lat).GT.90..OR.abs(lat-dlat).GT.90.) rAs(I,J,bi,bj)=0.            IF (ABS(lat).GT.90..OR.ABS(lat-dlat).GT.90.) rAs(i,j,bi,bj)=0.
301           ENDDO           ENDDO
302          ENDDO          ENDDO
303    
304  C--     Calculate vertical face area (vorticity points)  C--     Calculate vertical face area (vorticity points)
305          DO J=1-Oly,sNy+Oly          DO j=1-Oly,sNy+Oly
306           DO I=1-Olx,sNx+Olx           DO i=1-Olx,sNx+Olx
307  C         by formula  C         by formula
308            lat =0.5 _d 0*(yGloc(I,J)+yGloc(I,J+1))            lat =0.5 _d 0*(yGloc(i,j)+yGloc(i,j+1))
309            dlon=0.5 _d 0*( delX( iGl(I,bi) ) + delX( iGl(I-1,bi) ) )            dlon=0.5 _d 0*( delX( iGl(i,bi) ) + delX( iGl(i-1,bi) ) )
310            dlat=0.5 _d 0*( delY( jGl(J,bj) ) + delY( jGl(J-1,bj) ) )            dlat=0.5 _d 0*( delY( jGl(j,bj) ) + delY( jGl(j-1,bj) ) )
311            rAz(I,J,bi,bj) = rSphere*rSphere*dlon*deg2rad            rAz(i,j,bi,bj) = rSphere*rSphere*dlon*deg2rad
312       &     *abs( sin(lat*deg2rad)-sin((lat-dlat)*deg2rad) )       &     *ABS( SIN(lat*deg2rad)-SIN((lat-dlat)*deg2rad) )
313            IF (abs(lat).GT.90..OR.abs(lat-dlat).GT.90.) rAz(I,J,bi,bj)=0.            IF (ABS(lat).GT.90..OR.ABS(lat-dlat).GT.90.) rAz(i,j,bi,bj)=0.
314           ENDDO           ENDDO
315          ENDDO          ENDDO
316    
317  C--     Calculate trigonometric terms & grid orientation:  C--     Calculate trigonometric terms & grid orientation:
318          DO J=1-Oly,sNy+Oly          DO j=1-Oly,sNy+Oly
319           DO I=1-Olx,sNx+Olx           DO i=1-Olx,sNx+Olx
320            lat=0.5*(yGloc(I,J)+yGloc(I,J+1))            lat=0.5 _d 0*(yGloc(i,j)+yGloc(i,j+1))
321            tanPhiAtU(I,J,bi,bj)=tan(lat*deg2rad)            tanPhiAtU(i,j,bi,bj)=TAN(lat*deg2rad)
322            lat=0.5*(yGloc(I,J)+yGloc(I+1,J))            lat=0.5 _d 0*(yGloc(i,j)+yGloc(i+1,j))
323            tanPhiAtV(I,J,bi,bj)=tan(lat*deg2rad)            tanPhiAtV(i,j,bi,bj)=TAN(lat*deg2rad)
324            angleCosC(I,J,bi,bj) = 1.            angleCosC(i,j,bi,bj) = 1.
325            angleSinC(I,J,bi,bj) = 0.            angleSinC(i,j,bi,bj) = 0.
326           ENDDO           ENDDO
327          ENDDO          ENDDO
328    
329  C--     Cosine(lat) scaling  C--     Cosine(lat) scaling
330          DO J=1-OLy,sNy+OLy          DO j=1-OLy,sNy+OLy
331           jG = myYGlobalLo + (bj-1)*sNy + J-1           jG = myYGlobalLo + (bj-1)*sNy + j-1
332           jG = min(max(1,jG),Ny)           jG = MIN(MAX(1,jG),Ny)
333           IF (cosPower.NE.0.) THEN           IF (cosPower.NE.0.) THEN
334            cosFacU(J,bi,bj)=COS(yC(1,J,bi,bj)*deg2rad)            cosFacU(j,bi,bj)=COS(yC(1,j,bi,bj)*deg2rad)
335       &                    **cosPower       &                    **cosPower
336            cosFacV(J,bi,bj)=COS((yC(1,J,bi,bj)-0.5*delY(jG))*deg2rad)            cosFacV(j,bi,bj)=COS((yC(1,j,bi,bj)-0.5*delY(jG))*deg2rad)
337       &                    **cosPower       &                    **cosPower
338            cosFacU(J,bi,bj)=ABS(cosFacU(J,bi,bj))            cosFacU(j,bi,bj)=ABS(cosFacU(j,bi,bj))
339            cosFacV(J,bi,bj)=ABS(cosFacV(J,bi,bj))            cosFacV(j,bi,bj)=ABS(cosFacV(j,bi,bj))
340            sqcosFacU(J,bi,bj)=sqrt(cosFacU(J,bi,bj))            sqcosFacU(j,bi,bj)=SQRT(cosFacU(j,bi,bj))
341            sqcosFacV(J,bi,bj)=sqrt(cosFacV(J,bi,bj))            sqcosFacV(j,bi,bj)=SQRT(cosFacV(j,bi,bj))
342           ELSE           ELSE
343            cosFacU(J,bi,bj)=1.            cosFacU(j,bi,bj)=1.
344            cosFacV(J,bi,bj)=1.            cosFacV(j,bi,bj)=1.
345            sqcosFacU(J,bi,bj)=1.            sqcosFacU(j,bi,bj)=1.
346            sqcosFacV(J,bi,bj)=1.            sqcosFacV(j,bi,bj)=1.
347           ENDIF           ENDIF
348          ENDDO          ENDDO
349    
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