1 |
C $Id$ |
C $Header$ |
2 |
|
C $Name$ |
3 |
|
|
4 |
#include "CPP_EEOPTIONS.h" |
#include "CPP_OPTIONS.h" |
5 |
|
|
6 |
CStartOfInterface |
#undef USE_BACKWARD_COMPATIBLE_GRID |
7 |
|
|
8 |
|
CBOP |
9 |
|
C !ROUTINE: INI_SPHERICAL_POLAR_GRID |
10 |
|
C !INTERFACE: |
11 |
SUBROUTINE INI_SPHERICAL_POLAR_GRID( myThid ) |
SUBROUTINE INI_SPHERICAL_POLAR_GRID( myThid ) |
12 |
|
C !DESCRIPTION: \bv |
13 |
C /==========================================================\ |
C /==========================================================\ |
14 |
C | SUBROUTINE INI_SPHERICAL_POLAR_GRID | |
C | SUBROUTINE INI_SPHERICAL_POLAR_GRID | |
15 |
C | o Initialise model coordinate system | |
C | o Initialise model coordinate system arrays | |
16 |
C |==========================================================| |
C |==========================================================| |
17 |
C | These arrays are used throughout the code in evaluating | |
C | These arrays are used throughout the code in evaluating | |
18 |
C | gradients, integrals and spatial avarages. This routine | |
C | gradients, integrals and spatial avarages. This routine | |
19 |
C | is called separately by each thread and initialise only | |
C | is called separately by each thread and initialise only | |
20 |
C | the region of the domain it is "responsible" for. | |
C | the region of the domain it is "responsible" for. | |
|
C | Notes: | |
|
|
C | Two examples are included. One illustrates the | |
|
|
C | initialisation of a cartesian grid. The other shows the | |
|
|
C | inialisation of a spherical polar grid. Other orthonormal| |
|
|
C | grids can be fitted into this design. In this case | |
|
|
C | custom metric terms also need adding to account for the | |
|
|
C | projections of velocity vectors onto these grids. | |
|
|
C | The structure used here also makes it possible to | |
|
|
C | implement less regular grid mappings. In particular | |
|
|
C | o Schemes which leave out blocks of the domain that are | |
|
|
C | all land could be supported. | |
|
|
C | o Multi-level schemes such as icosohedral or cubic | |
|
|
C | grid projections onto a sphere can also be fitted | |
|
|
C | within the strategy we use. | |
|
|
C | Both of the above also require modifying the support | |
|
|
C | routines that map computational blocks to simulation | |
|
|
C | domain blocks. | |
|
21 |
C | Under the spherical polar grid mode primitive distances | |
C | Under the spherical polar grid mode primitive distances | |
22 |
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 | |
23 |
C | depending on the vertical gridding mode. | |
C | depending on the vertical gridding mode. | |
24 |
C \==========================================================/ |
C \==========================================================/ |
25 |
|
C \ev |
26 |
|
|
27 |
|
C !USES: |
28 |
|
IMPLICIT NONE |
29 |
C === Global variables === |
C === Global variables === |
30 |
#include "SIZE.h" |
#include "SIZE.h" |
31 |
#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
32 |
#include "PARAMS.h" |
#include "PARAMS.h" |
33 |
#include "GRID.h" |
#include "GRID.h" |
34 |
|
|
35 |
|
C !INPUT/OUTPUT PARAMETERS: |
36 |
C == Routine arguments == |
C == Routine arguments == |
37 |
C myThid - Number of this instance of INI_CARTESIAN_GRID |
C myThid - Number of this instance of INI_CARTESIAN_GRID |
38 |
INTEGER myThid |
INTEGER myThid |
39 |
CEndOfInterface |
CEndOfInterface |
40 |
|
|
41 |
|
C !LOCAL VARIABLES: |
42 |
C == Local variables == |
C == Local variables == |
43 |
C xG, yG - Global coordinate location. |
C xG, yG - Global coordinate location. |
|
C zG |
|
44 |
C xBase - South-west corner location for process. |
C xBase - South-west corner location for process. |
45 |
C yBase |
C yBase |
46 |
C zUpper - Work arrays for upper and lower |
C zUpper - Work arrays for upper and lower |
56 |
C lat, latN, - Temporary variables used to hold latitude |
C lat, latN, - Temporary variables used to hold latitude |
57 |
C latS values. |
C latS values. |
58 |
C I,J,K |
C I,J,K |
|
_RL xG, yG, zG |
|
|
_RL phi |
|
|
_RL zUpper(Nz), zLower(Nz) |
|
|
_RL xBase, yBase |
|
59 |
INTEGER iG, jG |
INTEGER iG, jG |
60 |
INTEGER bi, bj |
INTEGER bi, bj |
61 |
INTEGER I, J, K |
INTEGER I, J |
62 |
_RL lat, latS, latN |
_RL lat, dlat, dlon, xG0, yG0 |
63 |
|
|
64 |
|
|
65 |
|
C "Long" real for temporary coordinate calculation |
66 |
|
C NOTICE the extended range of indices!! |
67 |
|
_RL xGloc(1-Olx:sNx+Olx+1,1-Oly:sNy+Oly+1) |
68 |
|
_RL yGloc(1-Olx:sNx+Olx+1,1-Oly:sNy+Oly+1) |
69 |
|
|
70 |
|
C The functions iGl, jGl return the "global" index with valid values beyond |
71 |
|
C halo regions |
72 |
|
C cnh wrote: |
73 |
|
C > I dont understand why we would ever have to multiply the |
74 |
|
C > overlap by the total domain size e.g |
75 |
|
C > OLx*Nx, OLy*Ny. |
76 |
|
C > Can anybody explain? Lines are in ini_spherical_polar_grid.F. |
77 |
|
C > Surprised the code works if its wrong, so I am puzzled. |
78 |
|
C jmc replied: |
79 |
|
C Yes, I can explain this since I put this modification to work |
80 |
|
C with small domain (where Oly > Ny, as for instance, zonal-average |
81 |
|
C case): |
82 |
|
C This has no effect on the acuracy of the evaluation of iGl(I,bi) |
83 |
|
C and jGl(J,bj) since we take mod(a+OLx*Nx,Nx) and mod(b+OLy*Ny,Ny). |
84 |
|
C But in case a or b is negative, then the FORTRAN function "mod" |
85 |
|
C does not return the matematical value of the "modulus" function, |
86 |
|
C and this is not good for your purpose. |
87 |
|
C This is why I add +OLx*Nx and +OLy*Ny to be sure that the 1rst |
88 |
|
C argument of the mod function is positive. |
89 |
|
INTEGER iGl,jGl |
90 |
|
iGl(I,bi) = 1+mod(myXGlobalLo-1+(bi-1)*sNx+I+Olx*Nx-1,Nx) |
91 |
|
jGl(J,bj) = 1+mod(myYGlobalLo-1+(bj-1)*sNy+J+Oly*Ny-1,Ny) |
92 |
|
CEOP |
93 |
|
|
94 |
C-- Example of inialisation for spherical polar grid |
|
95 |
C-- First set coordinates of cell centers |
C For each tile ... |
|
C This operation is only performed at start up so for more |
|
|
C complex configurations it is usually OK to pass iG, jG to a custom |
|
|
C function and have it return xG and yG. |
|
|
C Set up my local grid first |
|
|
C Note: In the spherical polar case delX and delY are given in |
|
|
C degrees and are relative to some starting latitude and |
|
|
C longitude - phiMin and thetaMin. |
|
96 |
DO bj = myByLo(myThid), myByHi(myThid) |
DO bj = myByLo(myThid), myByHi(myThid) |
|
jG = myYGlobalLo + (bj-1)*sNy |
|
97 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
DO bi = myBxLo(myThid), myBxHi(myThid) |
98 |
|
|
99 |
|
C-- "Global" index (place holder) |
100 |
|
jG = myYGlobalLo + (bj-1)*sNy |
101 |
iG = myXGlobalLo + (bi-1)*sNx |
iG = myXGlobalLo + (bi-1)*sNx |
|
yBase = phiMin |
|
|
xBase = thetaMin |
|
|
DO i=1,iG-1 |
|
|
xBase = xBase + delX(i) |
|
|
ENDDO |
|
|
DO j=1,jG-1 |
|
|
yBase = yBase + delY(j) |
|
|
ENDDO |
|
|
yG = yBase |
|
|
DO J=1,sNy |
|
|
xG = xBase |
|
|
DO I=1,sNx |
|
|
xc(I,J,bi,bj) = xG + delX(iG+i-1)*0.5 _d 0 |
|
|
yc(I,J,bi,bj) = yG + delY(jG+j-1)*0.5 _d 0 |
|
|
xG = xG + delX(iG+I-1) |
|
|
dxF(I,J,bi,bj) = delX(iG+i-1)*deg2rad*rSphere*COS(yc(I,J,bi,bj)*deg2rad) |
|
|
dyF(I,J,bi,bj) = delY(jG+j-1)*deg2rad*rSphere |
|
|
ENDDO |
|
|
yG = yG + delY(jG+J-1) |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDDO |
|
|
C Now sync. and get edge regions from other threads and/or processes. |
|
|
C Note: We could just set the overlap regions ourselves here but |
|
|
C exchanging edges is safer and is good practice! |
|
|
_EXCH_XY_R4( xc, myThid ) |
|
|
_EXCH_XY_R4( yc, myThid ) |
|
|
_EXCH_XY_R4(dxF, myThid ) |
|
|
_EXCH_XY_R4(dyF, myThid ) |
|
102 |
|
|
103 |
C-- Calculate separation between other points |
C-- First find coordinate of tile corner (meaning outer corner of halo) |
104 |
C dxG, dyG are separations between cell corners along cell faces. |
xG0 = thetaMin |
105 |
DO bj = myByLo(myThid), myByHi(myThid) |
C Find the X-coordinate of the outer grid-line of the "real" tile |
106 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
DO i=1, iG-1 |
107 |
DO J=1,sNy |
xG0 = xG0 + delX(i) |
108 |
DO I=1,sNx |
ENDDO |
109 |
jG = myYGlobalLo + (bj-1)*sNy + J-1 |
C Back-step to the outer grid-line of the "halo" region |
110 |
iG = myXGlobalLo + (bi-1)*sNx + I-1 |
DO i=1, Olx |
111 |
lat = yc(I,J,bi,bj)-delY(jG) * 0.5 _d 0 |
xG0 = xG0 - delX( 1+mod(Olx*Nx-1+iG-i,Nx) ) |
112 |
dxG(I,J,bi,bj) = rSphere*COS(lat*deg2rad)*delX(iG)*deg2rad |
ENDDO |
113 |
dyG(I,J,bi,bj) = (dyF(I,J,bi,bj)+dyF(I-1,J,bi,bj))*0.5 _d 0 |
C Find the Y-coordinate of the outer grid-line of the "real" tile |
114 |
|
yG0 = phiMin |
115 |
|
DO j=1, jG-1 |
116 |
|
yG0 = yG0 + delY(j) |
117 |
|
ENDDO |
118 |
|
C Back-step to the outer grid-line of the "halo" region |
119 |
|
DO j=1, Oly |
120 |
|
yG0 = yG0 - delY( 1+mod(Oly*Ny-1+jG-j,Ny) ) |
121 |
|
ENDDO |
122 |
|
|
123 |
|
C-- Calculate coordinates of cell corners for N+1 grid-lines |
124 |
|
DO J=1-Oly,sNy+Oly +1 |
125 |
|
xGloc(1-Olx,J) = xG0 |
126 |
|
DO I=1-Olx,sNx+Olx |
127 |
|
c xGloc(I+1,J) = xGloc(I,J) + delX(1+mod(Nx-1+iG-1+i,Nx)) |
128 |
|
xGloc(I+1,J) = xGloc(I,J) + delX( iGl(I,bi) ) |
129 |
ENDDO |
ENDDO |
130 |
ENDDO |
ENDDO |
131 |
ENDDO |
DO I=1-Olx,sNx+Olx +1 |
132 |
ENDDO |
yGloc(I,1-Oly) = yG0 |
133 |
_EXCH_XY_R4(dxG, myThid ) |
DO J=1-Oly,sNy+Oly |
134 |
_EXCH_XY_R4(dyG, myThid ) |
c yGloc(I,J+1) = yGloc(I,J) + delY(1+mod(Ny-1+jG-1+j,Ny)) |
135 |
C dxV, dyU are separations between velocity points along cell faces. |
yGloc(I,J+1) = yGloc(I,J) + delY( jGl(J,bj) ) |
|
DO bj = myByLo(myThid), myByHi(myThid) |
|
|
DO bi = myBxLo(myThid), myBxHi(myThid) |
|
|
DO J=1,sNy |
|
|
DO I=1,sNx |
|
|
dxV(I,J,bi,bj) = (dxG(I,J,bi,bj)+dxG(I-1,J,bi,bj))*0.5 _d 0 |
|
|
dyU(I,J,bi,bj) = (dyG(I,J,bi,bj)+dyG(I,J-1,bi,bj))*0.5 _d 0 |
|
136 |
ENDDO |
ENDDO |
137 |
ENDDO |
ENDDO |
138 |
ENDDO |
|
139 |
ENDDO |
C-- Make a permanent copy of [xGloc,yGloc] in [xG,yG] |
140 |
_EXCH_XY_R4(dxV, myThid ) |
DO J=1-Oly,sNy+Oly |
141 |
_EXCH_XY_R4(dyU, myThid ) |
DO I=1-Olx,sNx+Olx |
142 |
C dxC, dyC is separation between cell centers |
xG(I,J,bi,bj) = xGloc(I,J) |
143 |
DO bj = myByLo(myThid), myByHi(myThid) |
yG(I,J,bi,bj) = yGloc(I,J) |
|
DO bi = myBxLo(myThid), myBxHi(myThid) |
|
|
DO J=1,sNy |
|
|
DO I=1,sNx |
|
|
dxC(I,J,bi,bj) = (dxF(I,J,bi,bj)+dxF(I-1,J,bi,bj))*0.5 _d 0 |
|
|
dyC(I,J,bi,bj) = (dyF(I,J,bi,bj)+dyF(I,J-1,bi,bj))*0.5 _d 0 |
|
144 |
ENDDO |
ENDDO |
145 |
ENDDO |
ENDDO |
146 |
ENDDO |
|
147 |
ENDDO |
C-- Calculate [xC,yC], coordinates of cell centers |
148 |
_EXCH_XY_R4(dxC, myThid ) |
DO J=1-Oly,sNy+Oly |
149 |
_EXCH_XY_R4(dyC, myThid ) |
DO I=1-Olx,sNx+Olx |
150 |
C Calculate recipricols |
C by averaging |
151 |
DO bj = myByLo(myThid), myByHi(myThid) |
xC(I,J,bi,bj) = 0.25*( |
152 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
& xGloc(I,J)+xGloc(I+1,J)+xGloc(I,J+1)+xGloc(I+1,J+1) ) |
153 |
DO J=1,sNy |
yC(I,J,bi,bj) = 0.25*( |
154 |
DO I=1,sNx |
& yGloc(I,J)+yGloc(I+1,J)+yGloc(I,J+1)+yGloc(I+1,J+1) ) |
|
rDxG(I,J,bi,bj)=1.d0/dxG(I,J,bi,bj) |
|
|
rDyG(I,J,bi,bj)=1.d0/dyG(I,J,bi,bj) |
|
|
rDxC(I,J,bi,bj)=1.d0/dxC(I,J,bi,bj) |
|
|
rDyC(I,J,bi,bj)=1.d0/dyC(I,J,bi,bj) |
|
|
rDxF(I,J,bi,bj)=1.d0/dxF(I,J,bi,bj) |
|
|
rDyF(I,J,bi,bj)=1.d0/dyF(I,J,bi,bj) |
|
|
rDxV(I,J,bi,bj)=1.d0/dxV(I,J,bi,bj) |
|
|
rDyU(I,J,bi,bj)=1.d0/dyU(I,J,bi,bj) |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDDO |
|
|
_EXCH_XY_R4(rDxG, myThid ) |
|
|
_EXCH_XY_R4(rDyG, myThid ) |
|
|
_EXCH_XY_R4(rDxC, myThid ) |
|
|
_EXCH_XY_R4(rDyC, myThid ) |
|
|
_EXCH_XY_R4(rDxF, myThid ) |
|
|
_EXCH_XY_R4(rDyF, myThid ) |
|
|
_EXCH_XY_R4(rDxV, myThid ) |
|
|
_EXCH_XY_R4(rDyU, myThid ) |
|
|
C Calculate vertical face area |
|
|
DO bj = myByLo(myThid), myByHi(myThid) |
|
|
DO bi = myBxLo(myThid), myBxHi(myThid) |
|
|
DO J=1,sNy |
|
|
DO I=1,sNx |
|
|
jG = myYGlobalLo + (bj-1)*sNy + J-1 |
|
|
latS = yc(i,j,bi,bj)-delY(jG)*0.5 _d 0 |
|
|
latN = yc(i,j,bi,bj)+delY(jG)*0.5 _d 0 |
|
|
zA(I,J,bi,bj) = dyF(I,J,bi,bj) |
|
|
& *rSphere*(SIN(latN*deg2rad)-SIN(latS*deg2rad)) |
|
155 |
ENDDO |
ENDDO |
156 |
ENDDO |
ENDDO |
157 |
ENDDO |
|
158 |
ENDDO |
C-- Calculate [dxF,dyF], lengths between cell faces (through center) |
159 |
C |
DO J=1-Oly,sNy+Oly |
160 |
|
DO I=1-Olx,sNx+Olx |
161 |
|
C by averaging |
162 |
|
c dXF(I,J,bi,bj) = 0.5*(dXG(I,J,bi,bj)+dXG(I,J+1,bi,bj)) |
163 |
|
c dYF(I,J,bi,bj) = 0.5*(dYG(I,J,bi,bj)+dYG(I+1,J,bi,bj)) |
164 |
|
C by formula |
165 |
|
lat = yC(I,J,bi,bj) |
166 |
|
dlon = delX( iGl(I,bi) ) |
167 |
|
dlat = delY( jGl(J,bj) ) |
168 |
|
dXF(I,J,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
169 |
|
#ifdef USE_BACKWARD_COMPATIBLE_GRID |
170 |
|
dXF(I,J,bi,bj) = delX(iGl(I,bi))*deg2rad*rSphere* |
171 |
|
& COS(yc(I,J,bi,bj)*deg2rad) |
172 |
|
#endif /* USE_BACKWARD_COMPATIBLE_GRID */ |
173 |
|
dYF(I,J,bi,bj) = rSphere*dlat*deg2rad |
174 |
|
ENDDO |
175 |
|
ENDDO |
176 |
|
|
177 |
|
C-- Calculate [dxG,dyG], lengths along cell boundaries |
178 |
|
DO J=1-Oly,sNy+Oly |
179 |
|
DO I=1-Olx,sNx+Olx |
180 |
|
C by averaging |
181 |
|
c dXG(I,J,bi,bj) = 0.5*(dXF(I,J,bi,bj)+dXF(I,J-1,bi,bj)) |
182 |
|
c dYG(I,J,bi,bj) = 0.5*(dYF(I,J,bi,bj)+dYF(I-1,J,bi,bj)) |
183 |
|
C by formula |
184 |
|
lat = 0.5*(yGloc(I,J)+yGloc(I+1,J)) |
185 |
|
dlon = delX( iGl(I,bi) ) |
186 |
|
dlat = delY( jGl(J,bj) ) |
187 |
|
dXG(I,J,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
188 |
|
if (dXG(I,J,bi,bj).LT.1.) dXG(I,J,bi,bj)=0. |
189 |
|
dYG(I,J,bi,bj) = rSphere*dlat*deg2rad |
190 |
|
ENDDO |
191 |
|
ENDDO |
192 |
|
|
193 |
|
C-- The following arrays are not defined in some parts of the halo |
194 |
|
C region. We set them to zero here for safety. If they are ever |
195 |
|
C referred to, especially in the denominator then it is a mistake! |
196 |
|
DO J=1-Oly,sNy+Oly |
197 |
|
DO I=1-Olx,sNx+Olx |
198 |
|
dXC(I,J,bi,bj) = 0. |
199 |
|
dYC(I,J,bi,bj) = 0. |
200 |
|
dXV(I,J,bi,bj) = 0. |
201 |
|
dYU(I,J,bi,bj) = 0. |
202 |
|
rAw(I,J,bi,bj) = 0. |
203 |
|
rAs(I,J,bi,bj) = 0. |
204 |
|
ENDDO |
205 |
|
ENDDO |
206 |
|
|
207 |
|
C-- Calculate [dxC], zonal length between cell centers |
208 |
|
DO J=1-Oly,sNy+Oly |
209 |
|
DO I=1-Olx+1,sNx+Olx ! NOTE range |
210 |
|
C by averaging |
211 |
|
dXC(I,J,bi,bj) = 0.5D0*(dXF(I,J,bi,bj)+dXF(I-1,J,bi,bj)) |
212 |
|
C by formula |
213 |
|
c lat = 0.5*(yC(I,J,bi,bj)+yC(I-1,J,bi,bj)) |
214 |
|
c dlon = 0.5*(delX( iGl(I,bi) ) + delX( iGl(I-1,bi) )) |
215 |
|
c dXC(I,J,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
216 |
|
C by difference |
217 |
|
c lat = 0.5*(yC(I,J,bi,bj)+yC(I-1,J,bi,bj)) |
218 |
|
c dlon = (xC(I,J,bi,bj)+xC(I-1,J,bi,bj)) |
219 |
|
c dXC(I,J,bi,bj) = rSphere*COS(deg2rad*lat)*dlon*deg2rad |
220 |
|
ENDDO |
221 |
|
ENDDO |
222 |
|
|
223 |
|
C-- Calculate [dyC], meridional length between cell centers |
224 |
|
DO J=1-Oly+1,sNy+Oly ! NOTE range |
225 |
|
DO I=1-Olx,sNx+Olx |
226 |
|
C by averaging |
227 |
|
dYC(I,J,bi,bj) = 0.5*(dYF(I,J,bi,bj)+dYF(I,J-1,bi,bj)) |
228 |
|
C by formula |
229 |
|
c dlat = 0.5*(delY( jGl(J,bj) ) + delY( jGl(J-1,bj) )) |
230 |
|
c dYC(I,J,bi,bj) = rSphere*dlat*deg2rad |
231 |
|
C by difference |
232 |
|
c dlat = (yC(I,J,bi,bj)+yC(I,J-1,bi,bj)) |
233 |
|
c dYC(I,J,bi,bj) = rSphere*dlat*deg2rad |
234 |
|
ENDDO |
235 |
|
ENDDO |
236 |
|
|
237 |
|
C-- Calculate [dxV,dyU], length between velocity points (through corners) |
238 |
|
DO J=1-Oly+1,sNy+Oly ! NOTE range |
239 |
|
DO I=1-Olx+1,sNx+Olx ! NOTE range |
240 |
|
C by averaging (method I) |
241 |
|
dXV(I,J,bi,bj) = 0.5*(dXG(I,J,bi,bj)+dXG(I-1,J,bi,bj)) |
242 |
|
dYU(I,J,bi,bj) = 0.5*(dYG(I,J,bi,bj)+dYG(I,J-1,bi,bj)) |
243 |
|
C by averaging (method II) |
244 |
|
c dXV(I,J,bi,bj) = 0.5*(dXG(I,J,bi,bj)+dXG(I-1,J,bi,bj)) |
245 |
|
c dYU(I,J,bi,bj) = 0.5*(dYC(I,J,bi,bj)+dYC(I-1,J,bi,bj)) |
246 |
|
ENDDO |
247 |
|
ENDDO |
248 |
|
|
249 |
|
C-- Calculate vertical face area (tracer cells) |
250 |
|
DO J=1-Oly,sNy+Oly |
251 |
|
DO I=1-Olx,sNx+Olx |
252 |
|
lat=0.5*(yGloc(I,J)+yGloc(I+1,J)) |
253 |
|
dlon=delX( iGl(I,bi) ) |
254 |
|
dlat=delY( jGl(J,bj) ) |
255 |
|
rA(I,J,bi,bj) = rSphere*rSphere*dlon*deg2rad |
256 |
|
& *abs( sin((lat+dlat)*deg2rad)-sin(lat*deg2rad) ) |
257 |
|
#ifdef USE_BACKWARD_COMPATIBLE_GRID |
258 |
|
lat=yC(I,J,bi,bj)-delY( jGl(J,bj) )*0.5 _d 0 |
259 |
|
lon=yC(I,J,bi,bj)+delY( jGl(J,bj) )*0.5 _d 0 |
260 |
|
rA(I,J,bi,bj) = dyF(I,J,bi,bj) |
261 |
|
& *rSphere*(SIN(lon*deg2rad)-SIN(lat*deg2rad)) |
262 |
|
#endif /* USE_BACKWARD_COMPATIBLE_GRID */ |
263 |
|
ENDDO |
264 |
|
ENDDO |
265 |
|
|
266 |
|
C-- Calculate vertical face area (u cells) |
267 |
|
DO J=1-Oly,sNy+Oly |
268 |
|
DO I=1-Olx+1,sNx+Olx ! NOTE range |
269 |
|
C by averaging |
270 |
|
rAw(I,J,bi,bj) = 0.5*(rA(I,J,bi,bj)+rA(I-1,J,bi,bj)) |
271 |
|
C by formula |
272 |
|
c lat=yGloc(I,J) |
273 |
|
c dlon=0.5*( delX( iGl(I,bi) ) + delX( iGl(I-1,bi) ) ) |
274 |
|
c dlat=delY( jGl(J,bj) ) |
275 |
|
c rAw(I,J,bi,bj) = rSphere*rSphere*dlon*deg2rad |
276 |
|
c & *abs( sin((lat+dlat)*deg2rad)-sin(lat*deg2rad) ) |
277 |
|
ENDDO |
278 |
|
ENDDO |
279 |
|
|
280 |
|
C-- Calculate vertical face area (v cells) |
281 |
|
DO J=1-Oly,sNy+Oly |
282 |
|
DO I=1-Olx,sNx+Olx |
283 |
|
C by formula |
284 |
|
lat=yC(I,J,bi,bj) |
285 |
|
dlon=delX( iGl(I,bi) ) |
286 |
|
dlat=0.5*( delY( jGl(J,bj) ) + delY( jGl(J-1,bj) ) ) |
287 |
|
rAs(I,J,bi,bj) = rSphere*rSphere*dlon*deg2rad |
288 |
|
& *abs( sin(lat*deg2rad)-sin((lat-dlat)*deg2rad) ) |
289 |
|
#ifdef USE_BACKWARD_COMPATIBLE_GRID |
290 |
|
lon=yC(I,J,bi,bj)-delY( jGl(J,bj) ) |
291 |
|
lat=yC(I,J,bi,bj) |
292 |
|
rAs(I,J,bi,bj) = rSphere*delX(iGl(I,bi))*deg2rad |
293 |
|
& *rSphere*(SIN(lat*deg2rad)-SIN(lon*deg2rad)) |
294 |
|
#endif /* USE_BACKWARD_COMPATIBLE_GRID */ |
295 |
|
IF (abs(lat).GT.90..OR.abs(lat-dlat).GT.90.) rAs(I,J,bi,bj)=0. |
296 |
|
ENDDO |
297 |
|
ENDDO |
298 |
|
|
299 |
|
C-- Calculate vertical face area (vorticity points) |
300 |
|
DO J=1-Oly,sNy+Oly |
301 |
|
DO I=1-Olx,sNx+Olx |
302 |
|
C by formula |
303 |
|
lat=yC(I,J,bi,bj) |
304 |
|
dlon=delX( iGl(I,bi) ) |
305 |
|
dlat=0.5*( delY( jGl(J,bj) ) + delY( jGl(J-1,bj) ) ) |
306 |
|
rAz(I,J,bi,bj) = rSphere*rSphere*dlon*deg2rad |
307 |
|
& *abs( sin(lat*deg2rad)-sin((lat-dlat)*deg2rad) ) |
308 |
|
IF (abs(lat).GT.90..OR.abs(lat-dlat).GT.90.) rAz(I,J,bi,bj)=0. |
309 |
|
ENDDO |
310 |
|
ENDDO |
311 |
|
|
312 |
|
C-- Calculate trigonometric terms |
313 |
|
DO J=1-Oly,sNy+Oly |
314 |
|
DO I=1-Olx,sNx+Olx |
315 |
|
lat=0.5*(yGloc(I,J)+yGloc(I,J+1)) |
316 |
|
tanPhiAtU(i,j,bi,bj)=tan(lat*deg2rad) |
317 |
|
lat=0.5*(yGloc(I,J)+yGloc(I+1,J)) |
318 |
|
tanPhiAtV(i,j,bi,bj)=tan(lat*deg2rad) |
319 |
|
ENDDO |
320 |
|
ENDDO |
321 |
|
|
322 |
|
C-- Cosine(lat) scaling |
323 |
|
DO J=1-OLy,sNy+OLy |
324 |
|
jG = myYGlobalLo + (bj-1)*sNy + J-1 |
325 |
|
jG = min(max(1,jG),Ny) |
326 |
|
IF (cosPower.NE.0.) THEN |
327 |
|
cosFacU(J,bi,bj)=COS(yC(1,J,bi,bj)*deg2rad) |
328 |
|
& **cosPower |
329 |
|
cosFacV(J,bi,bj)=COS((yC(1,J,bi,bj)-0.5*delY(jG))*deg2rad) |
330 |
|
& **cosPower |
331 |
|
sqcosFacU(J,bi,bj)=sqrt(cosFacU(J,bi,bj)) |
332 |
|
sqcosFacV(J,bi,bj)=sqrt(cosFacV(J,bi,bj)) |
333 |
|
ELSE |
334 |
|
cosFacU(J,bi,bj)=1. |
335 |
|
cosFacV(J,bi,bj)=1. |
336 |
|
sqcosFacU(J,bi,bj)=1. |
337 |
|
sqcosFacV(J,bi,bj)=1. |
338 |
|
ENDIF |
339 |
|
ENDDO |
340 |
|
|
341 |
|
ENDDO ! bi |
342 |
|
ENDDO ! bj |
343 |
|
|
344 |
RETURN |
RETURN |
345 |
END |
END |
|
|
|
|
C $Id$ |
|