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, phis, dragu, liftu, phyu, dragv, liftv, phyv, & |
8 |
dragv, liftv, phyv, p, u, v, aam, torsfc) |
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. |
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 phyetat0_m, only: rlat, rlon |
18 |
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USE suphec_m, ONLY: ra |
19 |
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real, intent(in):: rea ! Earth radius |
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20 |
real, intent(in):: rg ! gravity constant |
real, intent(in):: rg ! gravity constant |
21 |
real, intent(in):: ome ! Earth rotation rate |
real, intent(in):: ome ! Earth rotation rate |
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REAL, intent(in):: plat(:), plon(:) |
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! (nlon) latitude and longitude in degrees |
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22 |
real, intent(in):: phis(:) ! (nlon) Geopotential at the ground |
real, intent(in):: phis(:) ! (nlon) Geopotential at the ground |
23 |
REAL, intent(in):: dragu(:) ! (nlon) orodrag stress (zonal) |
REAL, intent(in):: dragu(:) ! (nlon) orodrag stress (zonal) |
24 |
REAL, intent(in):: liftu(:) ! (nlon) orolift stress (zonal) |
REAL, intent(in):: liftu(:) ! (nlon) orolift stress (zonal) |
38 |
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39 |
INTEGER nlev ! number of vertical levels |
INTEGER nlev ! number of vertical levels |
40 |
INTEGER i, j, k, l |
INTEGER i, j, k, l |
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REAL hadley, hadday |
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41 |
REAL dlat, dlon ! latitude and longitude increments (radians) |
REAL dlat, dlon ! latitude and longitude increments (radians) |
42 |
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43 |
REAL raam(3) ! wind AAM (components 1 & 2: equatorial; component 3: axial) |
REAL raam(3) ! wind AAM (components 1 & 2: equatorial; component 3: axial) |
45 |
REAL tmou(3) ! resolved mountain torque (3 components) |
REAL tmou(3) ! resolved mountain torque (3 components) |
46 |
REAL tsso(3) ! parameterised moutain drag torque (3 components) |
REAL tsso(3) ! parameterised moutain drag torque (3 components) |
47 |
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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48 |
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49 |
REAL ZS(801, 401) ! topographic height |
REAL ZS(801, 401) ! topographic height |
50 |
REAL PS(801, 401) ! surface pressure |
REAL PS(801, 401) ! surface pressure |
55 |
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56 |
!------------------------------------------------------------------- |
!------------------------------------------------------------------- |
57 |
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58 |
call assert(size(plat) == (/size(plon), size(phis), size(dragu), & |
call assert(size(phis) == (/size(dragu), size(liftu), size(phyu), & |
59 |
size(liftu), size(phyu), size(dragv), size(liftv), size(phyv), & |
size(dragv), size(liftv), size(phyv), size(p, 1), size(u, 1), & |
60 |
size(p, 1), size(u, 1), size(v, 1)/), "aaam_bud nlon") |
size(v, 1)/), "aaam_bud nlon") |
61 |
nlev = assert_eq(size(p, 2) - 1, size(u, 2), size(v, 2), "aaam_bud nlev") |
nlev = assert_eq(size(p, 2) - 1, size(u, 2), size(v, 2), "aaam_bud nlev") |
62 |
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63 |
if (iim + 1 > 801 .or. jjm + 1 > 401) then |
if (iim + 1 > 801 .or. jjm + 1 > 401) then |
65 |
stop 1 |
stop 1 |
66 |
endif |
endif |
67 |
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hadley = 1e18 |
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hadday = 1e18 * 24. * 3600. |
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68 |
dlat = pi / jjm |
dlat = pi / jjm |
69 |
dlon = 2 * pi / real(iim) |
dlon = 2 * pi / real(iim) |
70 |
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85 |
vb(1, 1) = vb(1, 1) + v(1, k) * (p(1, k) - p(1, k + 1)) / rg |
vb(1, 1) = vb(1, 1) + v(1, k) * (p(1, k) - p(1, k + 1)) / rg |
86 |
enddo |
enddo |
87 |
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88 |
zlat(1) = plat(1) * pi / 180. |
zlat(1) = rlat(1) * pi / 180. |
89 |
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90 |
do i = 1, iim + 1 |
do i = 1, iim + 1 |
91 |
zs(i, 1) = phis(1) / rg |
zs(i, 1) = phis(1) / rg |
108 |
ssov(iim + 1, j) = dragv(l + 1) + liftv(l + 1) |
ssov(iim + 1, j) = dragv(l + 1) + liftv(l + 1) |
109 |
blsu(iim + 1, j) = phyu(l + 1) - dragu(l + 1) - liftu(l + 1) |
blsu(iim + 1, j) = phyu(l + 1) - dragu(l + 1) - liftu(l + 1) |
110 |
blsv(iim + 1, j) = phyv(l + 1) - dragv(l + 1) - liftv(l + 1) |
blsv(iim + 1, j) = phyv(l + 1) - dragv(l + 1) - liftv(l + 1) |
111 |
zlon(iim + 1) = - plon(l + 1) * pi / 180. |
zlon(iim + 1) = - rlon(l + 1) * pi / 180. |
112 |
zlat(j) = plat(l + 1) * pi / 180. |
zlat(j) = rlat(l + 1) * pi / 180. |
113 |
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114 |
ub(iim + 1, j) = 0. |
ub(iim + 1, j) = 0. |
115 |
vb(iim + 1, j) = 0. |
vb(iim + 1, j) = 0. |
128 |
ssov(i, j) = dragv(l) + liftv(l) |
ssov(i, j) = dragv(l) + liftv(l) |
129 |
blsu(i, j) = phyu(l) - dragu(l) - liftu(l) |
blsu(i, j) = phyu(l) - dragu(l) - liftu(l) |
130 |
blsv(i, j) = phyv(l) - dragv(l) - liftv(l) |
blsv(i, j) = phyv(l) - dragv(l) - liftv(l) |
131 |
zlon(i) = plon(l) * pi / 180. |
zlon(i) = rlon(l) * pi / 180. |
132 |
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133 |
ub(i, j) = 0. |
ub(i, j) = 0. |
134 |
vb(i, j) = 0. |
vb(i, j) = 0. |
148 |
ub(1, jjm + 1) = ub(1, jjm + 1) + u(l, k) * (p(l, k) - p(l, k + 1)) / rg |
ub(1, jjm + 1) = ub(1, jjm + 1) + u(l, k) * (p(l, k) - p(l, k + 1)) / rg |
149 |
vb(1, jjm + 1) = vb(1, jjm + 1) + v(l, k) * (p(l, k) - p(l, k + 1)) / rg |
vb(1, jjm + 1) = vb(1, jjm + 1) + v(l, k) * (p(l, k) - p(l, k + 1)) / rg |
150 |
enddo |
enddo |
151 |
zlat(jjm + 1) = plat(l) * pi / 180. |
zlat(jjm + 1) = rlat(l) * pi / 180. |
152 |
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153 |
do i = 1, iim + 1 |
do i = 1, iim + 1 |
154 |
zs(i, jjm + 1) = phis(l) / rg |
zs(i, jjm + 1) = phis(l) / rg |
165 |
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166 |
DO j = 1, jjm |
DO j = 1, jjm |
167 |
DO i = 1, iim |
DO i = 1, iim |
168 |
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 )) & |
169 |
* sin(zlat(j )) * cos(zlat(j )) * ub(i , j ) + cos(zlon(i )) & |
* sin(zlat(j )) * cos(zlat(j )) * ub(i , j ) + cos(zlon(i )) & |
170 |
* sin(zlat(j + 1)) * cos(zlat(j + 1)) * ub(i , j + 1)) & |
* sin(zlat(j + 1)) * cos(zlat(j + 1)) * ub(i , j + 1)) & |
171 |
+ rea**3 * dlon * dlat * 0.5 * (sin(zlon(i )) * cos(zlat(j )) & |
+ ra**3 * dlon * dlat * 0.5 * (sin(zlon(i )) * cos(zlat(j )) & |
172 |
* 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)) |
173 |
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174 |
oaam(1) = oaam(1) - ome * rea**4 * dlon * dlat / rg * 0.5 & |
oaam(1) = oaam(1) - ome * ra**4 * dlon * dlat / rg * 0.5 & |
175 |
* (cos(zlon(i )) * cos(zlat(j ))**2 * sin(zlat(j )) & |
* (cos(zlon(i )) * cos(zlat(j ))**2 * sin(zlat(j )) & |
176 |
* ps(i , j ) + cos(zlon(i )) * cos(zlat(j + 1))**2 & |
* ps(i , j ) + cos(zlon(i )) * cos(zlat(j + 1))**2 & |
177 |
* sin(zlat(j + 1)) * ps(i , j + 1)) |
* sin(zlat(j + 1)) * ps(i , j + 1)) |
178 |
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179 |
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 )) & |
180 |
* sin(zlat(j )) * cos(zlat(j )) * ub(i , j ) + sin(zlon(i )) & |
* sin(zlat(j )) * cos(zlat(j )) * ub(i , j ) + sin(zlon(i )) & |
181 |
* sin(zlat(j + 1)) * cos(zlat(j + 1)) * ub(i , j + 1)) & |
* sin(zlat(j + 1)) * cos(zlat(j + 1)) * ub(i , j + 1)) & |
182 |
- rea**3 * dlon * dlat * 0.5 * (cos(zlon(i )) * cos(zlat(j )) & |
- ra**3 * dlon * dlat * 0.5 * (cos(zlon(i )) * cos(zlat(j )) & |
183 |
* 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)) |
184 |
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185 |
oaam(2) = oaam(2) - ome * rea**4 * dlon * dlat / rg * 0.5 & |
oaam(2) = oaam(2) - ome * ra**4 * dlon * dlat / rg * 0.5 & |
186 |
* (sin(zlon(i )) * cos(zlat(j ))**2 * sin(zlat(j )) & |
* (sin(zlon(i )) * cos(zlat(j ))**2 * sin(zlat(j )) & |
187 |
* ps(i , j ) + sin(zlon(i )) * cos(zlat(j + 1))**2 & |
* ps(i , j ) + sin(zlon(i )) * cos(zlat(j + 1))**2 & |
188 |
* sin(zlat(j + 1)) * ps(i , j + 1)) |
* sin(zlat(j + 1)) * ps(i , j + 1)) |
189 |
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190 |
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 & |
191 |
* ub(i, j) + cos(zlat(j + 1))**2 * ub(i, j + 1)) |
* ub(i, j) + cos(zlat(j + 1))**2 * ub(i, j + 1)) |
192 |
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193 |
oaam(3) = oaam(3) + ome * rea**4 * dlon * dlat / rg * 0.5 & |
oaam(3) = oaam(3) + ome * ra**4 * dlon * dlat / rg * 0.5 & |
194 |
* (cos(zlat(j))**3 * ps(i, j) + cos(zlat(j + 1))**3 & |
* (cos(zlat(j))**3 * ps(i, j) + cos(zlat(j + 1))**3 & |
195 |
* ps(i, j + 1)) |
* ps(i, j + 1)) |
196 |
ENDDO |
ENDDO |
200 |
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201 |
DO j = 1, jjm |
DO j = 1, jjm |
202 |
DO i = 1, iim |
DO i = 1, iim |
203 |
tmou(1) = tmou(1) - rea**2 * dlon * 0.5 * sin(zlon(i)) & |
tmou(1) = tmou(1) - ra**2 * dlon * 0.5 * sin(zlon(i)) & |
204 |
* (zs(i, j) - zs(i, j + 1)) & |
* (zs(i, j) - zs(i, j + 1)) & |
205 |
* (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)) |
206 |
tmou(2) = tmou(2) + rea**2 * dlon * 0.5 * cos(zlon(i)) & |
tmou(2) = tmou(2) + ra**2 * dlon * 0.5 * cos(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 |
ENDDO |
ENDDO |
211 |
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212 |
DO j = 2, jjm |
DO j = 2, jjm |
213 |
DO i = 1, iim |
DO i = 1, iim |
214 |
tmou(1) = tmou(1) + rea**2 * dlat * 0.5 * sin(zlat(j)) & |
tmou(1) = tmou(1) + ra**2 * dlat * 0.5 * sin(zlat(j)) & |
215 |
* (zs(i + 1, j) - zs(i, j)) & |
* (zs(i + 1, j) - zs(i, j)) & |
216 |
* (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)) |
217 |
tmou(2) = tmou(2) + rea**2 * dlat * 0.5 * sin(zlat(j)) & |
tmou(2) = tmou(2) + ra**2 * dlat * 0.5 * sin(zlat(j)) & |
218 |
* (zs(i + 1, j) - zs(i, j)) & |
* (zs(i + 1, j) - zs(i, j)) & |
219 |
* (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)) |
220 |
tmou(3) = tmou(3) - rea**2 * dlat * 0.5* cos(zlat(j)) & |
tmou(3) = tmou(3) - ra**2 * dlat * 0.5* cos(zlat(j)) & |
221 |
* (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)) |
222 |
ENDDO |
ENDDO |
223 |
ENDDO |
ENDDO |
226 |
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227 |
DO j = 2, jjm |
DO j = 2, jjm |
228 |
DO i = 1, iim |
DO i = 1, iim |
229 |
tsso(1) = tsso(1) - rea**3 * cos(zlat(j)) * dlon * dlat* & |
tsso(1) = tsso(1) - ra**3 * cos(zlat(j)) * dlon * dlat* & |
230 |
ssou(i, j) * sin(zlat(j)) * cos(zlon(i)) & |
ssou(i, j) * sin(zlat(j)) * cos(zlon(i)) & |
231 |
+ rea**3 * cos(zlat(j)) * dlon * dlat* & |
+ ra**3 * cos(zlat(j)) * dlon * dlat* & |
232 |
ssov(i, j) * sin(zlon(i)) |
ssov(i, j) * sin(zlon(i)) |
233 |
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234 |
tsso(2) = tsso(2) - rea**3 * cos(zlat(j)) * dlon * dlat* & |
tsso(2) = tsso(2) - ra**3 * cos(zlat(j)) * dlon * dlat* & |
235 |
ssou(i, j) * sin(zlat(j)) * sin(zlon(i)) & |
ssou(i, j) * sin(zlat(j)) * sin(zlon(i)) & |
236 |
- rea**3 * cos(zlat(j)) * dlon * dlat* & |
- ra**3 * cos(zlat(j)) * dlon * dlat* & |
237 |
ssov(i, j) * cos(zlon(i)) |
ssov(i, j) * cos(zlon(i)) |
238 |
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|
239 |
tsso(3) = tsso(3) + rea**3 * cos(zlat(j)) * dlon * dlat* & |
tsso(3) = tsso(3) + ra**3 * cos(zlat(j)) * dlon * dlat* & |
240 |
ssou(i, j) * cos(zlat(j)) |
ssou(i, j) * cos(zlat(j)) |
241 |
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242 |
tbls(1) = tbls(1) - rea**3 * cos(zlat(j)) * dlon * dlat* & |
tbls(1) = tbls(1) - ra**3 * cos(zlat(j)) * dlon * dlat* & |
243 |
blsu(i, j) * sin(zlat(j)) * cos(zlon(i)) & |
blsu(i, j) * sin(zlat(j)) * cos(zlon(i)) & |
244 |
+ rea**3 * cos(zlat(j)) * dlon * dlat* & |
+ ra**3 * cos(zlat(j)) * dlon * dlat* & |
245 |
blsv(i, j) * sin(zlon(i)) |
blsv(i, j) * sin(zlon(i)) |
246 |
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247 |
tbls(2) = tbls(2) - rea**3 * cos(zlat(j)) * dlon * dlat* & |
tbls(2) = tbls(2) - ra**3 * cos(zlat(j)) * dlon * dlat* & |
248 |
blsu(i, j) * sin(zlat(j)) * sin(zlon(i)) & |
blsu(i, j) * sin(zlat(j)) * sin(zlon(i)) & |
249 |
- rea**3 * cos(zlat(j)) * dlon * dlat* & |
- ra**3 * cos(zlat(j)) * dlon * dlat* & |
250 |
blsv(i, j) * cos(zlon(i)) |
blsv(i, j) * cos(zlon(i)) |
251 |
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|
252 |
tbls(3) = tbls(3) + rea**3 * cos(zlat(j)) * dlon * dlat* & |
tbls(3) = tbls(3) + ra**3 * cos(zlat(j)) * dlon * dlat* & |
253 |
blsu(i, j) * cos(zlat(j)) |
blsu(i, j) * cos(zlat(j)) |
254 |
ENDDO |
ENDDO |
255 |
ENDDO |
ENDDO |