4 |
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5 |
contains |
contains |
6 |
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7 |
subroutine aaam_bud(rea, rg, ome, plat, plon, phis, dragu, liftu, phyu, & |
subroutine aaam_bud(rg, ome, plat, plon, phis, dragu, liftu, phyu, dragv, & |
8 |
dragv, liftv, phyv, p, u, v, aam, torsfc) |
liftv, phyv, p, u, v, aam, torsfc) |
9 |
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10 |
! Author: F. Lott (LMD/CNRS). Date: 2003/10/20. Object: Compute |
! Author: F. Lott (LMD/CNRS). Date: 2003/10/20. Object: Compute |
11 |
! different terms of the axial AAAM Budget and mountain torque. |
! different terms of the axial AAAM budget and mountain torque. |
12 |
! Only valid for regular rectangular grids. Should be called after |
! Only valid for regular rectangular grids. Should be called after |
13 |
! "lift_noro". |
! "lift_noro". |
14 |
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15 |
USE dimens_m, ONLY : iim, jjm |
USE dimens_m, ONLY : iim, jjm |
16 |
use nr_util, only: assert_eq, assert, pi |
use nr_util, only: assert_eq, assert, pi |
17 |
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USE suphec_m, ONLY: ra |
18 |
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real, intent(in):: rea ! Earth radius |
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19 |
real, intent(in):: rg ! gravity constant |
real, intent(in):: rg ! gravity constant |
20 |
real, intent(in):: ome ! Earth rotation rate |
real, intent(in):: ome ! Earth rotation rate |
21 |
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41 |
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42 |
INTEGER nlev ! number of vertical levels |
INTEGER nlev ! number of vertical levels |
43 |
INTEGER i, j, k, l |
INTEGER i, j, k, l |
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REAL hadley, hadday |
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44 |
REAL dlat, dlon ! latitude and longitude increments (radians) |
REAL dlat, dlon ! latitude and longitude increments (radians) |
45 |
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46 |
REAL raam(3) ! wind AAM (components 1 & 2: equatorial; component 3: axial) |
REAL raam(3) ! wind AAM (components 1 & 2: equatorial; component 3: axial) |
48 |
REAL tmou(3) ! resolved mountain torque (3 components) |
REAL tmou(3) ! resolved mountain torque (3 components) |
49 |
REAL tsso(3) ! parameterised moutain drag torque (3 components) |
REAL tsso(3) ! parameterised moutain drag torque (3 components) |
50 |
REAL tbls(3) ! parameterised boundary layer torque (3 components) |
REAL tbls(3) ! parameterised boundary layer torque (3 components) |
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integer iax |
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51 |
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52 |
REAL ZS(801, 401) ! topographic height |
REAL ZS(801, 401) ! topographic height |
53 |
REAL PS(801, 401) ! surface pressure |
REAL PS(801, 401) ! surface pressure |
68 |
stop 1 |
stop 1 |
69 |
endif |
endif |
70 |
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hadley = 1e18 |
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hadday = 1e18 * 24. * 3600. |
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71 |
dlat = pi / jjm |
dlat = pi / jjm |
72 |
dlon = 2 * pi / real(iim) |
dlon = 2 * pi / real(iim) |
73 |
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168 |
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169 |
DO j = 1, jjm |
DO j = 1, jjm |
170 |
DO i = 1, iim |
DO i = 1, iim |
171 |
raam(1) = raam(1) - rea**3 * dlon * dlat * 0.5 * (cos(zlon(i )) & |
raam(1) = raam(1) - ra**3 * dlon * dlat * 0.5 * (cos(zlon(i )) & |
172 |
* sin(zlat(j )) * cos(zlat(j )) * ub(i , j ) + cos(zlon(i )) & |
* sin(zlat(j )) * cos(zlat(j )) * ub(i , j ) + cos(zlon(i )) & |
173 |
* sin(zlat(j + 1)) * cos(zlat(j + 1)) * ub(i , j + 1)) & |
* sin(zlat(j + 1)) * cos(zlat(j + 1)) * ub(i , j + 1)) & |
174 |
+ rea**3 * dlon * dlat * 0.5 * (sin(zlon(i )) * cos(zlat(j )) & |
+ ra**3 * dlon * dlat * 0.5 * (sin(zlon(i )) * cos(zlat(j )) & |
175 |
* vb(i , j ) + sin(zlon(i )) * cos(zlat(j + 1)) * vb(i , j + 1)) |
* vb(i , j ) + sin(zlon(i )) * cos(zlat(j + 1)) * vb(i , j + 1)) |
176 |
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177 |
oaam(1) = oaam(1) - ome * rea**4 * dlon * dlat / rg * 0.5 & |
oaam(1) = oaam(1) - ome * ra**4 * dlon * dlat / rg * 0.5 & |
178 |
* (cos(zlon(i )) * cos(zlat(j ))**2 * sin(zlat(j )) & |
* (cos(zlon(i )) * cos(zlat(j ))**2 * sin(zlat(j )) & |
179 |
* ps(i , j ) + cos(zlon(i )) * cos(zlat(j + 1))**2 & |
* ps(i , j ) + cos(zlon(i )) * cos(zlat(j + 1))**2 & |
180 |
* sin(zlat(j + 1)) * ps(i , j + 1)) |
* sin(zlat(j + 1)) * ps(i , j + 1)) |
181 |
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182 |
raam(2) = raam(2) - rea**3 * dlon * dlat * 0.5 * (sin(zlon(i )) & |
raam(2) = raam(2) - ra**3 * dlon * dlat * 0.5 * (sin(zlon(i )) & |
183 |
* sin(zlat(j )) * cos(zlat(j )) * ub(i , j ) + sin(zlon(i )) & |
* sin(zlat(j )) * cos(zlat(j )) * ub(i , j ) + sin(zlon(i )) & |
184 |
* sin(zlat(j + 1)) * cos(zlat(j + 1)) * ub(i , j + 1)) & |
* sin(zlat(j + 1)) * cos(zlat(j + 1)) * ub(i , j + 1)) & |
185 |
- rea**3 * dlon * dlat * 0.5 * (cos(zlon(i )) * cos(zlat(j )) & |
- ra**3 * dlon * dlat * 0.5 * (cos(zlon(i )) * cos(zlat(j )) & |
186 |
* vb(i , j ) + cos(zlon(i )) * cos(zlat(j + 1)) * vb(i , j + 1)) |
* vb(i , j ) + cos(zlon(i )) * cos(zlat(j + 1)) * vb(i , j + 1)) |
187 |
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188 |
oaam(2) = oaam(2) - ome * rea**4 * dlon * dlat / rg * 0.5 & |
oaam(2) = oaam(2) - ome * ra**4 * dlon * dlat / rg * 0.5 & |
189 |
* (sin(zlon(i )) * cos(zlat(j ))**2 * sin(zlat(j )) & |
* (sin(zlon(i )) * cos(zlat(j ))**2 * sin(zlat(j )) & |
190 |
* ps(i , j ) + sin(zlon(i )) * cos(zlat(j + 1))**2 & |
* ps(i , j ) + sin(zlon(i )) * cos(zlat(j + 1))**2 & |
191 |
* sin(zlat(j + 1)) * ps(i , j + 1)) |
* sin(zlat(j + 1)) * ps(i , j + 1)) |
192 |
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193 |
raam(3) = raam(3) + rea**3 * dlon * dlat * 0.5 * (cos(zlat(j))**2 & |
raam(3) = raam(3) + ra**3 * dlon * dlat * 0.5 * (cos(zlat(j))**2 & |
194 |
* ub(i, j) + cos(zlat(j + 1))**2 * ub(i, j + 1)) |
* ub(i, j) + cos(zlat(j + 1))**2 * ub(i, j + 1)) |
195 |
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196 |
oaam(3) = oaam(3) + ome * rea**4 * dlon * dlat / rg * 0.5 & |
oaam(3) = oaam(3) + ome * ra**4 * dlon * dlat / rg * 0.5 & |
197 |
* (cos(zlat(j))**3 * ps(i, j) + cos(zlat(j + 1))**3 & |
* (cos(zlat(j))**3 * ps(i, j) + cos(zlat(j + 1))**3 & |
198 |
* ps(i, j + 1)) |
* ps(i, j + 1)) |
199 |
ENDDO |
ENDDO |
203 |
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204 |
DO j = 1, jjm |
DO j = 1, jjm |
205 |
DO i = 1, iim |
DO i = 1, iim |
206 |
tmou(1) = tmou(1) - rea**2 * dlon * 0.5 * sin(zlon(i)) & |
tmou(1) = tmou(1) - ra**2 * dlon * 0.5 * sin(zlon(i)) & |
207 |
* (zs(i, j) - zs(i, j + 1)) & |
* (zs(i, j) - zs(i, j + 1)) & |
208 |
* (cos(zlat(j + 1)) * ps(i, j + 1) + cos(zlat(j)) * ps(i, j)) |
* (cos(zlat(j + 1)) * ps(i, j + 1) + cos(zlat(j)) * ps(i, j)) |
209 |
tmou(2) = tmou(2) + rea**2 * dlon * 0.5 * cos(zlon(i)) & |
tmou(2) = tmou(2) + ra**2 * dlon * 0.5 * cos(zlon(i)) & |
210 |
* (zs(i, j) - zs(i, j + 1)) & |
* (zs(i, j) - zs(i, j + 1)) & |
211 |
* (cos(zlat(j + 1)) * ps(i, j + 1) + cos(zlat(j)) * ps(i, j)) |
* (cos(zlat(j + 1)) * ps(i, j + 1) + cos(zlat(j)) * ps(i, j)) |
212 |
ENDDO |
ENDDO |
214 |
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215 |
DO j = 2, jjm |
DO j = 2, jjm |
216 |
DO i = 1, iim |
DO i = 1, iim |
217 |
tmou(1) = tmou(1) + rea**2 * dlat * 0.5 * sin(zlat(j)) & |
tmou(1) = tmou(1) + ra**2 * dlat * 0.5 * sin(zlat(j)) & |
218 |
* (zs(i + 1, j) - zs(i, j)) & |
* (zs(i + 1, j) - zs(i, j)) & |
219 |
* (cos(zlon(i + 1)) * ps(i + 1, j) + cos(zlon(i)) * ps(i, j)) |
* (cos(zlon(i + 1)) * ps(i + 1, j) + cos(zlon(i)) * ps(i, j)) |
220 |
tmou(2) = tmou(2) + rea**2 * dlat * 0.5 * sin(zlat(j)) & |
tmou(2) = tmou(2) + ra**2 * dlat * 0.5 * sin(zlat(j)) & |
221 |
* (zs(i + 1, j) - zs(i, j)) & |
* (zs(i + 1, j) - zs(i, j)) & |
222 |
* (sin(zlon(i + 1)) * ps(i + 1, j) + sin(zlon(i)) * ps(i, j)) |
* (sin(zlon(i + 1)) * ps(i + 1, j) + sin(zlon(i)) * ps(i, j)) |
223 |
tmou(3) = tmou(3) - rea**2 * dlat * 0.5* cos(zlat(j)) & |
tmou(3) = tmou(3) - ra**2 * dlat * 0.5* cos(zlat(j)) & |
224 |
* (zs(i + 1, j) - zs(i, j)) * (ps(i + 1, j) + ps(i, j)) |
* (zs(i + 1, j) - zs(i, j)) * (ps(i + 1, j) + ps(i, j)) |
225 |
ENDDO |
ENDDO |
226 |
ENDDO |
ENDDO |
229 |
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230 |
DO j = 2, jjm |
DO j = 2, jjm |
231 |
DO i = 1, iim |
DO i = 1, iim |
232 |
tsso(1) = tsso(1) - rea**3 * cos(zlat(j)) * dlon * dlat* & |
tsso(1) = tsso(1) - ra**3 * cos(zlat(j)) * dlon * dlat* & |
233 |
ssou(i, j) * sin(zlat(j)) * cos(zlon(i)) & |
ssou(i, j) * sin(zlat(j)) * cos(zlon(i)) & |
234 |
+ rea**3 * cos(zlat(j)) * dlon * dlat* & |
+ ra**3 * cos(zlat(j)) * dlon * dlat* & |
235 |
ssov(i, j) * sin(zlon(i)) |
ssov(i, j) * sin(zlon(i)) |
236 |
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237 |
tsso(2) = tsso(2) - rea**3 * cos(zlat(j)) * dlon * dlat* & |
tsso(2) = tsso(2) - ra**3 * cos(zlat(j)) * dlon * dlat* & |
238 |
ssou(i, j) * sin(zlat(j)) * sin(zlon(i)) & |
ssou(i, j) * sin(zlat(j)) * sin(zlon(i)) & |
239 |
- rea**3 * cos(zlat(j)) * dlon * dlat* & |
- ra**3 * cos(zlat(j)) * dlon * dlat* & |
240 |
ssov(i, j) * cos(zlon(i)) |
ssov(i, j) * cos(zlon(i)) |
241 |
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242 |
tsso(3) = tsso(3) + rea**3 * cos(zlat(j)) * dlon * dlat* & |
tsso(3) = tsso(3) + ra**3 * cos(zlat(j)) * dlon * dlat* & |
243 |
ssou(i, j) * cos(zlat(j)) |
ssou(i, j) * cos(zlat(j)) |
244 |
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245 |
tbls(1) = tbls(1) - rea**3 * cos(zlat(j)) * dlon * dlat* & |
tbls(1) = tbls(1) - ra**3 * cos(zlat(j)) * dlon * dlat* & |
246 |
blsu(i, j) * sin(zlat(j)) * cos(zlon(i)) & |
blsu(i, j) * sin(zlat(j)) * cos(zlon(i)) & |
247 |
+ rea**3 * cos(zlat(j)) * dlon * dlat* & |
+ ra**3 * cos(zlat(j)) * dlon * dlat* & |
248 |
blsv(i, j) * sin(zlon(i)) |
blsv(i, j) * sin(zlon(i)) |
249 |
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250 |
tbls(2) = tbls(2) - rea**3 * cos(zlat(j)) * dlon * dlat* & |
tbls(2) = tbls(2) - ra**3 * cos(zlat(j)) * dlon * dlat* & |
251 |
blsu(i, j) * sin(zlat(j)) * sin(zlon(i)) & |
blsu(i, j) * sin(zlat(j)) * sin(zlon(i)) & |
252 |
- rea**3 * cos(zlat(j)) * dlon * dlat* & |
- ra**3 * cos(zlat(j)) * dlon * dlat* & |
253 |
blsv(i, j) * cos(zlon(i)) |
blsv(i, j) * cos(zlon(i)) |
254 |
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255 |
tbls(3) = tbls(3) + rea**3 * cos(zlat(j)) * dlon * dlat* & |
tbls(3) = tbls(3) + ra**3 * cos(zlat(j)) * dlon * dlat* & |
256 |
blsu(i, j) * cos(zlat(j)) |
blsu(i, j) * cos(zlat(j)) |
257 |
ENDDO |
ENDDO |
258 |
ENDDO |
ENDDO |