| 1 | MODULE sulfate_aer_mod |
|---|
| 2 | |
|---|
| 3 | ! microphysical routines based on UPMC aerosol model by Slimane Bekki |
|---|
| 4 | ! adapted for stratospheric sulfate aerosol in LMDZ by Christoph Kleinschmitt |
|---|
| 5 | |
|---|
| 6 | CONTAINS |
|---|
| 7 | |
|---|
| 8 | !******************************************************************** |
|---|
| 9 | SUBROUTINE STRACOMP(sh,t_seri,pplay) |
|---|
| 10 | |
|---|
| 11 | ! AEROSOL H2SO4 WEIGHT FRACTION AS A FUNCTION OF PH2O AND TEMPERATURE |
|---|
| 12 | ! ---------------------------------------------------------------- |
|---|
| 13 | ! INPUT: |
|---|
| 14 | ! H2O: VMR of H2O |
|---|
| 15 | ! t_seri: temperature (K) |
|---|
| 16 | ! PMB: pressure (mb) |
|---|
| 17 | ! klon: number of latitude bands in the model domain |
|---|
| 18 | ! klev: number of altitude bands in the model domain |
|---|
| 19 | ! for IFS: perhaps add another dimension for longitude |
|---|
| 20 | ! |
|---|
| 21 | ! OUTPUT: |
|---|
| 22 | ! R2SO4: aerosol H2SO4 weight fraction (percent) |
|---|
| 23 | |
|---|
| 24 | USE dimphy, ONLY : klon,klev |
|---|
| 25 | USE aerophys |
|---|
| 26 | USE phys_local_var_mod, ONLY: R2SO4 |
|---|
| 27 | |
|---|
| 28 | IMPLICIT NONE |
|---|
| 29 | |
|---|
| 30 | REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature |
|---|
| 31 | REAL,DIMENSION(klon,klev),INTENT(IN) :: pplay ! pression pour le mileu de chaque couche (en Pa) |
|---|
| 32 | REAL,DIMENSION(klon,klev),INTENT(IN) :: sh ! humidite specifique |
|---|
| 33 | |
|---|
| 34 | REAL PMB(klon,klev), H2O(klon,klev) |
|---|
| 35 | ! |
|---|
| 36 | ! working variables |
|---|
| 37 | INTEGER I,J,K |
|---|
| 38 | REAL TP, PH2O, VAL, A, B |
|---|
| 39 | ! local variables to be saved on exit |
|---|
| 40 | INTEGER INSTEP |
|---|
| 41 | INTEGER, PARAMETER :: N=16, M=28 |
|---|
| 42 | DATA INSTEP/0/ |
|---|
| 43 | REAL F(N,M) |
|---|
| 44 | REAL XC(N) |
|---|
| 45 | REAL YC(M) |
|---|
| 46 | REAL XC1, XC16, YC1, YC28 |
|---|
| 47 | ! |
|---|
| 48 | SAVE INSTEP,F,XC,YC,XC1,XC16,YC1,YC28 |
|---|
| 49 | |
|---|
| 50 | ! convert pplay (in Pa) to PMB (in mb) |
|---|
| 51 | PMB(:,:)=pplay(:,:)/100.0 |
|---|
| 52 | |
|---|
| 53 | ! convert specific humidity sh (in kg/kg) to VMR H2O |
|---|
| 54 | H2O(:,:)=sh(:,:)*mAIRmol/mH2Omol |
|---|
| 55 | |
|---|
| 56 | IF(INSTEP.EQ.0) THEN |
|---|
| 57 | |
|---|
| 58 | INSTEP=1 |
|---|
| 59 | XC(1)=0.01 |
|---|
| 60 | XC(2)=0.1 |
|---|
| 61 | XC(3)=0.5 |
|---|
| 62 | XC(4)=1.0 |
|---|
| 63 | XC(5)=1.5 |
|---|
| 64 | XC(6)=2.0 |
|---|
| 65 | XC(7)=3.0 |
|---|
| 66 | XC(8)=5.0 |
|---|
| 67 | XC(9)=6.0 |
|---|
| 68 | XC(10)=8.0 |
|---|
| 69 | XC(11)=10.0 |
|---|
| 70 | XC(12)=12.0 |
|---|
| 71 | XC(13)=15.0 |
|---|
| 72 | XC(14)=20.0 |
|---|
| 73 | XC(15)=30.0 |
|---|
| 74 | XC(16)=100.0 |
|---|
| 75 | ! |
|---|
| 76 | YC(1)=175.0 |
|---|
| 77 | DO I=2,28 |
|---|
| 78 | YC(I)=YC(I-1)+5.0 |
|---|
| 79 | ENDDO |
|---|
| 80 | |
|---|
| 81 | ! CONVERSION mb IN 1.0E-4mB |
|---|
| 82 | DO I=1,16 |
|---|
| 83 | XC(I)=XC(I)*1.0E-4 |
|---|
| 84 | ENDDO |
|---|
| 85 | ! |
|---|
| 86 | XC1=XC(1)+1.E-10 |
|---|
| 87 | XC16=XC(16)-1.E-8 |
|---|
| 88 | YC1=YC(1)+1.E-5 |
|---|
| 89 | YC28=YC(28)-1.E-5 |
|---|
| 90 | |
|---|
| 91 | F(6,4)=43.45 |
|---|
| 92 | F(6,5)=53.96 |
|---|
| 93 | F(6,6)=60.62 |
|---|
| 94 | F(6,7)=65.57 |
|---|
| 95 | F(6,8)=69.42 |
|---|
| 96 | F(6,9)=72.56 |
|---|
| 97 | F(6,10)=75.17 |
|---|
| 98 | F(6,11)=77.38 |
|---|
| 99 | F(6,12)=79.3 |
|---|
| 100 | F(6,13)=80.99 |
|---|
| 101 | F(6,14)=82.5 |
|---|
| 102 | F(6,15)=83.92 |
|---|
| 103 | F(6,16)=85.32 |
|---|
| 104 | F(6,17)=86.79 |
|---|
| 105 | F(6,18)=88.32 |
|---|
| 106 | ! |
|---|
| 107 | ! ADD FACTOR BECAUSE THE SLOP IS TOO IMPORTANT |
|---|
| 108 | ! NOT FOR THIS ONE BUT THE REST |
|---|
| 109 | ! LOG DOESN'T WORK |
|---|
| 110 | A=(F(6,5)-F(6,4))/( (YC(5)-YC(4))*2.0) |
|---|
| 111 | B=-A*YC(4) + F(6,4) |
|---|
| 112 | F(6,1)=A*YC(1) + B |
|---|
| 113 | F(6,2)=A*YC(2) + B |
|---|
| 114 | F(6,3)=A*YC(3) + B |
|---|
| 115 | ! |
|---|
| 116 | F(7,4)=37.02 |
|---|
| 117 | F(7,5)=49.46 |
|---|
| 118 | F(7,6)=57.51 |
|---|
| 119 | F(7,7)=63.12 |
|---|
| 120 | F(7,8)=67.42 |
|---|
| 121 | F(7,9)=70.85 |
|---|
| 122 | F(7,10)=73.70 |
|---|
| 123 | F(7,11)=76.09 |
|---|
| 124 | F(7,12)=78.15 |
|---|
| 125 | F(7,13)=79.96 |
|---|
| 126 | F(7,14)=81.56 |
|---|
| 127 | F(7,15)=83.02 |
|---|
| 128 | F(7,16)=84.43 |
|---|
| 129 | F(7,17)=85.85 |
|---|
| 130 | F(7,18)=87.33 |
|---|
| 131 | ! |
|---|
| 132 | A=(F(7,5)-F(7,4))/( (YC(5)-YC(4))*2.0) |
|---|
| 133 | B=-A*YC(4) + F(7,4) |
|---|
| 134 | F(7,1)=A*YC(1) + B |
|---|
| 135 | F(7,2)=A*YC(2) + B |
|---|
| 136 | F(7,3)=A*YC(3) + B |
|---|
| 137 | ! |
|---|
| 138 | F(8,4)=25.85 |
|---|
| 139 | F(8,5)=42.26 |
|---|
| 140 | F(8,6)=52.78 |
|---|
| 141 | F(8,7)=59.55 |
|---|
| 142 | F(8,8)=64.55 |
|---|
| 143 | F(8,9)=68.45 |
|---|
| 144 | F(8,10)=71.63 |
|---|
| 145 | F(8,11)=74.29 |
|---|
| 146 | F(8,12)=76.56 |
|---|
| 147 | F(8,13)=78.53 |
|---|
| 148 | F(8,14)=80.27 |
|---|
| 149 | F(8,15)=81.83 |
|---|
| 150 | F(8,16)=83.27 |
|---|
| 151 | F(8,17)=84.67 |
|---|
| 152 | F(8,18)=86.10 |
|---|
| 153 | ! |
|---|
| 154 | A=(F(8,5)-F(8,4))/( (YC(5)-YC(4))*2.5 ) |
|---|
| 155 | B=-A*YC(4) + F(8,4) |
|---|
| 156 | F(8,1)=A*YC(1) + B |
|---|
| 157 | F(8,2)=A*YC(2) + B |
|---|
| 158 | F(8,3)=A*YC(3) + B |
|---|
| 159 | ! |
|---|
| 160 | F(9,4)=15.38 |
|---|
| 161 | F(9,5)=39.35 |
|---|
| 162 | F(9,6)=50.73 |
|---|
| 163 | F(9,7)=58.11 |
|---|
| 164 | F(9,8)=63.41 |
|---|
| 165 | F(9,9)=67.52 |
|---|
| 166 | F(9,10)=70.83 |
|---|
| 167 | F(9,11)=73.6 |
|---|
| 168 | F(9,12)=75.95 |
|---|
| 169 | F(9,13)=77.98 |
|---|
| 170 | F(9,14)=79.77 |
|---|
| 171 | F(9,15)=81.38 |
|---|
| 172 | F(9,16)=82.84 |
|---|
| 173 | F(9,17)=84.25 |
|---|
| 174 | F(9,18)=85.66 |
|---|
| 175 | ! |
|---|
| 176 | A=(F(9,5)-F(9,4))/( (YC(5)-YC(4))*7.0) |
|---|
| 177 | B=-A*YC(4) + F(9,4) |
|---|
| 178 | F(9,1)=A*YC(1) + B |
|---|
| 179 | F(9,2)=A*YC(2) + B |
|---|
| 180 | F(9,3)=A*YC(3) + B |
|---|
| 181 | ! |
|---|
| 182 | F(10,4)=0.0 |
|---|
| 183 | F(10,5)=34.02 |
|---|
| 184 | F(10,6)=46.93 |
|---|
| 185 | F(10,7)=55.61 |
|---|
| 186 | F(10,8)=61.47 |
|---|
| 187 | F(10,9)=65.94 |
|---|
| 188 | F(10,10)=69.49 |
|---|
| 189 | F(10,11)=72.44 |
|---|
| 190 | F(10,12)=74.93 |
|---|
| 191 | F(10,13)=77.08 |
|---|
| 192 | F(10,14)=78.96 |
|---|
| 193 | F(10,15)=80.63 |
|---|
| 194 | F(10,16)=82.15 |
|---|
| 195 | F(10,17)=83.57 |
|---|
| 196 | F(10,18)=84.97 |
|---|
| 197 | ! |
|---|
| 198 | A=(F(10,6)-F(10,5))/( (YC(6)-YC(5))*1.5) |
|---|
| 199 | B=-A*YC(5) + F(10,5) |
|---|
| 200 | F(10,1)=A*YC(1) + B |
|---|
| 201 | F(10,2)=A*YC(2) + B |
|---|
| 202 | F(10,3)=A*YC(3) + B |
|---|
| 203 | F(10,4)=A*YC(4) + B |
|---|
| 204 | ! |
|---|
| 205 | F(11,4)=0.0 |
|---|
| 206 | F(11,5)=29.02 |
|---|
| 207 | F(11,6)=43.69 |
|---|
| 208 | F(11,7)=53.44 |
|---|
| 209 | F(11,8)=59.83 |
|---|
| 210 | F(11,9)=64.62 |
|---|
| 211 | F(11,10)=68.39 |
|---|
| 212 | F(11,11)=71.48 |
|---|
| 213 | F(11,12)=74.10 |
|---|
| 214 | F(11,13)=76.33 |
|---|
| 215 | F(11,14)=78.29 |
|---|
| 216 | F(11,15)=80.02 |
|---|
| 217 | F(11,16)=81.58 |
|---|
| 218 | F(11,17)=83.03 |
|---|
| 219 | F(11,18)=84.44 |
|---|
| 220 | ! |
|---|
| 221 | A=(F(11,6)-F(11,5))/( (YC(6)-YC(5))*2.5 ) |
|---|
| 222 | B=-A*YC(5) + F(11,5) |
|---|
| 223 | F(11,1)=A*YC(1) + B |
|---|
| 224 | F(11,2)=A*YC(2) + B |
|---|
| 225 | F(11,3)=A*YC(3) + B |
|---|
| 226 | F(11,4)=A*YC(4) + B |
|---|
| 227 | ! |
|---|
| 228 | F(12,4)=0.0 |
|---|
| 229 | F(12,5)=23.13 |
|---|
| 230 | F(12,6)=40.86 |
|---|
| 231 | F(12,7)=51.44 |
|---|
| 232 | F(12,8)=58.38 |
|---|
| 233 | F(12,9)=63.47 |
|---|
| 234 | F(12,10)=67.43 |
|---|
| 235 | F(12,11)=70.66 |
|---|
| 236 | F(12,12)=73.38 |
|---|
| 237 | F(12,13)=75.70 |
|---|
| 238 | F(12,14)=77.72 |
|---|
| 239 | F(12,15)=79.51 |
|---|
| 240 | F(12,16)=81.11 |
|---|
| 241 | F(12,17)=82.58 |
|---|
| 242 | F(12,18)=83.99 |
|---|
| 243 | ! |
|---|
| 244 | A=(F(12,6)-F(12,5))/( (YC(6)-YC(5))*3.5 ) |
|---|
| 245 | B=-A*YC(5) + F(12,5) |
|---|
| 246 | F(12,1)=A*YC(1) + B |
|---|
| 247 | F(12,2)=A*YC(2) + B |
|---|
| 248 | F(12,3)=A*YC(3) + B |
|---|
| 249 | F(12,4)=A*YC(4) + B |
|---|
| 250 | ! |
|---|
| 251 | F(13,4)=0.0 |
|---|
| 252 | F(13,5)=0.0 |
|---|
| 253 | F(13,6)=36.89 |
|---|
| 254 | F(13,7)=48.63 |
|---|
| 255 | F(13,8)=56.46 |
|---|
| 256 | F(13,9)=61.96 |
|---|
| 257 | F(13,10)=66.19 |
|---|
| 258 | F(13,11)=69.6 |
|---|
| 259 | F(13,12)=72.45 |
|---|
| 260 | F(13,13)=74.89 |
|---|
| 261 | F(13,14)=76.99 |
|---|
| 262 | F(13,15)=78.85 |
|---|
| 263 | F(13,16)=80.50 |
|---|
| 264 | F(13,17)=82.02 |
|---|
| 265 | F(13,18)=83.44 |
|---|
| 266 | ! |
|---|
| 267 | A=(F(13,7)-F(13,6))/( (YC(7)-YC(6))*2.0) |
|---|
| 268 | B=-A*YC(6) + F(13,6) |
|---|
| 269 | F(13,1)=A*YC(1) + B |
|---|
| 270 | F(13,2)=A*YC(2) + B |
|---|
| 271 | F(13,3)=A*YC(3) + B |
|---|
| 272 | F(13,4)=A*YC(4) + B |
|---|
| 273 | F(13,5)=A*YC(5) + B |
|---|
| 274 | ! |
|---|
| 275 | F(14,4)=0.0 |
|---|
| 276 | F(14,5)=0.0 |
|---|
| 277 | F(14,6)=30.82 |
|---|
| 278 | F(14,7)=44.49 |
|---|
| 279 | F(14,8)=53.69 |
|---|
| 280 | F(14,9)=59.83 |
|---|
| 281 | F(14,10)=64.47 |
|---|
| 282 | F(14,11)=68.15 |
|---|
| 283 | F(14,12)=71.19 |
|---|
| 284 | F(14,13)=73.77 |
|---|
| 285 | F(14,14)=76.0 |
|---|
| 286 | F(14,15)=77.95 |
|---|
| 287 | F(14,16)=79.69 |
|---|
| 288 | F(14,17)=81.26 |
|---|
| 289 | F(14,18)=82.72 |
|---|
| 290 | ! |
|---|
| 291 | A=(F(14,7)-F(14,6))/( (YC(7)-YC(6))*2.5 ) |
|---|
| 292 | B=-A*YC(6) + F(14,6) |
|---|
| 293 | F(14,1)=A*YC(1) + B |
|---|
| 294 | F(14,2)=A*YC(2) + B |
|---|
| 295 | F(14,3)=A*YC(3) + B |
|---|
| 296 | F(14,4)=A*YC(4) + B |
|---|
| 297 | F(14,5)=A*YC(5) + B |
|---|
| 298 | ! |
|---|
| 299 | F(15,4)=0.0 |
|---|
| 300 | F(15,5)=0.0 |
|---|
| 301 | F(15,6)=0.0 |
|---|
| 302 | F(15,7)=37.71 |
|---|
| 303 | F(15,8)=48.49 |
|---|
| 304 | F(15,9)=56.40 |
|---|
| 305 | F(15,10)=61.75 |
|---|
| 306 | F(15,11)=65.89 |
|---|
| 307 | F(15,12)=69.25 |
|---|
| 308 | F(15,13)=72.07 |
|---|
| 309 | F(15,14)=74.49 |
|---|
| 310 | F(15,15)=76.59 |
|---|
| 311 | F(15,16)=78.45 |
|---|
| 312 | F(15,17)=80.12 |
|---|
| 313 | F(15,18)=81.64 |
|---|
| 314 | ! |
|---|
| 315 | A=(F(15,8)-F(15,7))/( (YC(8)-YC(7))*1.5) |
|---|
| 316 | B=-A*YC(7) + F(15,7) |
|---|
| 317 | F(15,1)=A*YC(1) + B |
|---|
| 318 | F(15,2)=A*YC(2) + B |
|---|
| 319 | F(15,3)=A*YC(3) + B |
|---|
| 320 | F(15,4)=A*YC(4) + B |
|---|
| 321 | F(15,5)=A*YC(5) + B |
|---|
| 322 | F(15,6)=A*YC(6) + B |
|---|
| 323 | |
|---|
| 324 | ! SUPPOSE THAT AT GIVEN AND PH2O<2mB, |
|---|
| 325 | ! %H2SO4 = A *LOG(PH2O) +B |
|---|
| 326 | ! XC(1-5) :EXTENSION LEFT (LOW H2O) |
|---|
| 327 | DO J=1,18 |
|---|
| 328 | A=(F(6,J)-F(7,J))/(LOG(XC(6))-LOG(XC(7))) |
|---|
| 329 | B=-A*LOG(XC(6)) + F(6,J) |
|---|
| 330 | DO K=1,5 |
|---|
| 331 | F(K,J)=A*LOG(XC(K)) + B |
|---|
| 332 | ENDDO |
|---|
| 333 | ENDDO |
|---|
| 334 | |
|---|
| 335 | ! XC(16) :EXTENSION RIGHT (HIGH H2O) |
|---|
| 336 | DO J=1,18 |
|---|
| 337 | A=(F(15,J)-F(14,J))/(XC(15)-XC(14)) |
|---|
| 338 | B=-A*XC(15) + F(15,J) |
|---|
| 339 | F(16,J)=A*XC(16) + B |
|---|
| 340 | ! F(16,2)=1.0 |
|---|
| 341 | ENDDO |
|---|
| 342 | |
|---|
| 343 | ! YC(16-25) :EXTENSION DOWN (HIGH T) |
|---|
| 344 | DO I=1,16 |
|---|
| 345 | A=(F(I,18)-F(I,17))/(YC(18)-YC(17)) |
|---|
| 346 | B=-A*YC(18) + F(I,18) |
|---|
| 347 | DO K=19,28 |
|---|
| 348 | F(I,K)=A*YC(K) + B |
|---|
| 349 | ENDDO |
|---|
| 350 | ENDDO |
|---|
| 351 | |
|---|
| 352 | ! MANUAL CORRECTIONS |
|---|
| 353 | DO J=1,10 |
|---|
| 354 | F(1,J)=94.0 |
|---|
| 355 | ENDDO |
|---|
| 356 | |
|---|
| 357 | DO J=1,6 |
|---|
| 358 | F(2,J)=77.0 +REAL(J) |
|---|
| 359 | ENDDO |
|---|
| 360 | |
|---|
| 361 | DO J=1,7 |
|---|
| 362 | F(16,J)=9.0 |
|---|
| 363 | ENDDO |
|---|
| 364 | |
|---|
| 365 | DO I=1,16 |
|---|
| 366 | DO J=1,28 |
|---|
| 367 | IF (F(I,J).LT.9.0) F(I,J)=30.0 |
|---|
| 368 | IF (F(I,J).GT.99.99) F(I,J)=99.99 |
|---|
| 369 | ENDDO |
|---|
| 370 | ENDDO |
|---|
| 371 | |
|---|
| 372 | ENDIF |
|---|
| 373 | |
|---|
| 374 | DO I=1,klon |
|---|
| 375 | DO J=1,klev |
|---|
| 376 | TP=t_seri(I,J) |
|---|
| 377 | IF (TP.LT.175.1) TP=175.1 |
|---|
| 378 | ! Partial pressure of H2O (mb) |
|---|
| 379 | PH2O =PMB(I,J)*H2O(I,J) |
|---|
| 380 | IF (PH2O.LT.XC1) THEN |
|---|
| 381 | R2SO4(I,J)=99.99 |
|---|
| 382 | ! PH2O=XC(1)+1.0E-10 |
|---|
| 383 | ELSE |
|---|
| 384 | IF (PH2O.GT.XC16) PH2O=XC16 |
|---|
| 385 | ! SIMPLE LINEAR INTERPOLATIONS |
|---|
| 386 | CALL FIND(PH2O,TP,XC,YC,F,VAL,N,M) |
|---|
| 387 | IF (PMB(I,J).GE.10.0.AND.VAL.LT.60.0) VAL=60.0 |
|---|
| 388 | R2SO4(I,J)=VAL |
|---|
| 389 | ENDIF |
|---|
| 390 | ENDDO |
|---|
| 391 | ENDDO |
|---|
| 392 | |
|---|
| 393 | END SUBROUTINE |
|---|
| 394 | |
|---|
| 395 | !**************************************************************** |
|---|
| 396 | SUBROUTINE STRAACT(ACTSO4) |
|---|
| 397 | |
|---|
| 398 | ! H2SO4 ACTIVITY (GIAUQUE) AS A FUNCTION OF H2SO4 WP |
|---|
| 399 | ! ---------------------------------------- |
|---|
| 400 | ! INPUT: |
|---|
| 401 | ! H2SO4: VMR of H2SO4 |
|---|
| 402 | ! klon: number of latitude bands in the model domain |
|---|
| 403 | ! klev: number of altitude bands in the model domain |
|---|
| 404 | ! for IFS: perhaps add another dimension for longitude |
|---|
| 405 | ! |
|---|
| 406 | ! OUTPUT: |
|---|
| 407 | ! ACTSO4: H2SO4 activity (percent) |
|---|
| 408 | |
|---|
| 409 | USE dimphy, ONLY : klon,klev |
|---|
| 410 | USE phys_local_var_mod, ONLY: R2SO4 |
|---|
| 411 | |
|---|
| 412 | IMPLICIT NONE |
|---|
| 413 | |
|---|
| 414 | REAL ACTSO4(klon,klev) |
|---|
| 415 | |
|---|
| 416 | ! Working variables |
|---|
| 417 | INTEGER NN,I,J,JX,JX1 |
|---|
| 418 | REAL TC,TB,TA,XT |
|---|
| 419 | PARAMETER (NN=109) |
|---|
| 420 | REAL XC(NN), X(NN) |
|---|
| 421 | |
|---|
| 422 | ! H2SO4 activity |
|---|
| 423 | DATA X/ & |
|---|
| 424 | & 0.0,0.25,0.78,1.437,2.19,3.07,4.03,5.04,6.08 & |
|---|
| 425 | & ,7.13,8.18,14.33,18.59,28.59,39.17,49.49 & |
|---|
| 426 | & ,102.4,157.8,215.7,276.9,341.6,409.8,481.5,556.6 & |
|---|
| 427 | & ,635.5,719.,808.,902.,1000.,1103.,1211.,1322.,1437.,1555. & |
|---|
| 428 | & ,1677.,1800.,1926.,2054.,2183.,2312.,2442.,2572.,2701.,2829. & |
|---|
| 429 | & ,2955.,3080.,3203.,3325.,3446.,3564.,3681.,3796.,3910.,4022. & |
|---|
| 430 | & ,4134.,4351.,4564.,4771.,4974.,5171.,5364.,5551.,5732.,5908. & |
|---|
| 431 | & ,6079.,6244.,6404.,6559.,6709.,6854.,6994.,7131.,7264.,7393. & |
|---|
| 432 | & ,7520.,7821.,8105.,8373.,8627.,8867.,9093.,9308.,9511.,9703. & |
|---|
| 433 | & ,9885.,10060.,10225.,10535.,10819.,11079.,11318.,11537. & |
|---|
| 434 | & ,11740.,12097.,12407.,12676.,12915.,13126.,13564.,13910. & |
|---|
| 435 | & ,14191.,14423.,14617.,14786.,10568.,15299.,15491.,15654. & |
|---|
| 436 | & ,15811./ |
|---|
| 437 | ! H2SO4 weight fraction (percent) |
|---|
| 438 | DATA XC/ & |
|---|
| 439 | & 100.0,99.982,99.963,99.945,99.927,99.908,99.890,99.872 & |
|---|
| 440 | & ,99.853,99.835,99.817,99.725,99.634,99.452,99.270 & |
|---|
| 441 | & ,99.090,98.196,97.319,96.457,95.610,94.777,93.959,93.156 & |
|---|
| 442 | & ,92.365,91.588,90.824,90.073,89.334,88.607,87.892,87.188 & |
|---|
| 443 | & ,86.495,85.814,85.143,84.482,83.832,83.191,82.560,81.939 & |
|---|
| 444 | & ,81.327,80.724,80.130,79.545,78.968,78.399,77.839,77.286 & |
|---|
| 445 | & ,76.741,76.204,75.675,75.152,74.637,74.129,73.628,73.133 & |
|---|
| 446 | & ,72.164,71.220,70.300,69.404,68.530,67.678,66.847,66.037 & |
|---|
| 447 | & ,65.245,64.472,63.718,62.981,62.261,61.557,60.868,60.195 & |
|---|
| 448 | & ,59.537,58.893,58.263,57.646,56.159,54.747,53.405,52.126 & |
|---|
| 449 | & ,50.908,49.745,48.634,47.572,46.555,45.580,44.646,43.749 & |
|---|
| 450 | & ,42.059,40.495,39.043,37.691,36.430,35.251,33.107,31.209 & |
|---|
| 451 | & ,29.517,27.999,26.629,23.728,21.397,19.482,17.882,16.525 & |
|---|
| 452 | & ,15.360,13.461,11.980,10.792,9.819,8.932/ |
|---|
| 453 | |
|---|
| 454 | DO I=1,klon |
|---|
| 455 | DO J=1,klev |
|---|
| 456 | ! HERE LINEAR INTERPOLATIONS |
|---|
| 457 | XT=R2SO4(I,J) |
|---|
| 458 | CALL POSACT(XT,XC,NN,JX) |
|---|
| 459 | JX1=JX+1 |
|---|
| 460 | IF(JX.EQ.0) THEN |
|---|
| 461 | ACTSO4(I,J)=0.0 |
|---|
| 462 | ELSE IF(JX.GE.NN) THEN |
|---|
| 463 | ACTSO4(I,J)=15811.0 |
|---|
| 464 | ELSE |
|---|
| 465 | TC=XT -XC(JX) |
|---|
| 466 | TB=X(JX1) -X(JX) |
|---|
| 467 | TA=XC(JX1) -XC(JX) |
|---|
| 468 | TA=TB/TA |
|---|
| 469 | ACTSO4(I,J)=X(JX) + TA*TC |
|---|
| 470 | ENDIF |
|---|
| 471 | ENDDO |
|---|
| 472 | ENDDO |
|---|
| 473 | |
|---|
| 474 | END SUBROUTINE |
|---|
| 475 | |
|---|
| 476 | !**************************************************************** |
|---|
| 477 | SUBROUTINE DENH2SA(t_seri) |
|---|
| 478 | |
|---|
| 479 | ! AERSOL DENSITY AS A FUNCTION OF H2SO4 WEIGHT PERCENT AND T |
|---|
| 480 | ! --------------------------------------------- |
|---|
| 481 | ! VERY ROUGH APPROXIMATION (SEE FOR WATER IN HANDBOOK |
|---|
| 482 | ! LINEAR 2% FOR 30 DEGREES with RESPECT TO WATER) |
|---|
| 483 | ! |
|---|
| 484 | ! INPUT: |
|---|
| 485 | ! R2SO4: aerosol H2SO4 weight fraction (percent) |
|---|
| 486 | ! t_seri: temperature (K) |
|---|
| 487 | ! klon: number of latitude bands in the model domain |
|---|
| 488 | ! klev: number of altitude bands in the model domain |
|---|
| 489 | ! for IFS: perhaps add another dimension for longitude |
|---|
| 490 | ! |
|---|
| 491 | ! OUTPUT: |
|---|
| 492 | ! DENSO4: aerosol mass density (gr/cm3 = aerosol mass/aerosol volume) |
|---|
| 493 | ! |
|---|
| 494 | USE dimphy, ONLY : klon,klev |
|---|
| 495 | USE phys_local_var_mod, ONLY: R2SO4, DENSO4 |
|---|
| 496 | |
|---|
| 497 | IMPLICIT NONE |
|---|
| 498 | |
|---|
| 499 | REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature |
|---|
| 500 | |
|---|
| 501 | INTEGER I,J |
|---|
| 502 | |
|---|
| 503 | ! Loop on model domain (2 dimension for UPMC model; 3 for IFS) |
|---|
| 504 | DO I=1,klon |
|---|
| 505 | DO J=1,klev |
|---|
| 506 | ! RO AT 20C |
|---|
| 507 | DENSO4(I,J)=0.78681252E-5*R2SO4(I,J)*R2SO4(I,J)+ 0.82185978E-2*R2SO4(I,J)+0.97968381 |
|---|
| 508 | DENSO4(I,J)=DENSO4(I,J)* ( 1.0 - (t_seri(I,J)-293.0)*0.02/30.0 ) |
|---|
| 509 | ENDDO |
|---|
| 510 | ENDDO |
|---|
| 511 | |
|---|
| 512 | END SUBROUTINE |
|---|
| 513 | |
|---|
| 514 | !*********************************************************** |
|---|
| 515 | SUBROUTINE FIND(X,Y,XC,YC,F,VAL,N,M) |
|---|
| 516 | ! |
|---|
| 517 | ! BI-LINEAR INTERPOLATION |
|---|
| 518 | |
|---|
| 519 | ! INPUT: |
|---|
| 520 | ! X: Partial pressure of H2O (mb) |
|---|
| 521 | ! Y: temperature (K) |
|---|
| 522 | ! XC: Table partial pressure of H2O (mb) |
|---|
| 523 | ! YC: Table temperature (K) |
|---|
| 524 | ! F: Table aerosol H2SO4 weight fraction=f(XC,YC) (percent) |
|---|
| 525 | ! |
|---|
| 526 | ! OUTPUT: |
|---|
| 527 | ! VAL: aerosol H2SO4 weight fraction (percent) |
|---|
| 528 | |
|---|
| 529 | IMPLICIT NONE |
|---|
| 530 | |
|---|
| 531 | INTEGER N,M |
|---|
| 532 | REAL X,Y,XC(N),YC(M),F(N,M),VAL |
|---|
| 533 | ! |
|---|
| 534 | ! working variables |
|---|
| 535 | INTEGER IERX,IERY,JX,JY,JXP1,JYP1 |
|---|
| 536 | REAL SXY,SX1Y,SX1Y1,SXY1,TA,TB,T,UA,UB,U |
|---|
| 537 | |
|---|
| 538 | IERX=0 |
|---|
| 539 | IERY=0 |
|---|
| 540 | CALL POSITION(XC,X,N,JX,IERX) |
|---|
| 541 | CALL POSITION(YC,Y,M,JY,IERY) |
|---|
| 542 | |
|---|
| 543 | IF(JX.EQ.0.OR.IERY.EQ.1) THEN |
|---|
| 544 | VAL=99.99 |
|---|
| 545 | RETURN |
|---|
| 546 | ENDIF |
|---|
| 547 | |
|---|
| 548 | IF(JY.EQ.0.OR.IERX.EQ.1) THEN |
|---|
| 549 | VAL=9.0 |
|---|
| 550 | RETURN |
|---|
| 551 | ENDIF |
|---|
| 552 | |
|---|
| 553 | JXP1=JX+1 |
|---|
| 554 | JYP1=JY+1 |
|---|
| 555 | SXY=F(JX, JY ) |
|---|
| 556 | SX1Y=F(JXP1,JY ) |
|---|
| 557 | SX1Y1=F(JXP1,JYP1) |
|---|
| 558 | SXY1=F(JX, JYP1) |
|---|
| 559 | |
|---|
| 560 | ! x-slope. |
|---|
| 561 | TA=X -XC(JX) |
|---|
| 562 | TB=XC(JXP1)-XC(JX) |
|---|
| 563 | T=TA/TB |
|---|
| 564 | |
|---|
| 565 | ! y-slope. |
|---|
| 566 | UA=Y -YC(JY) |
|---|
| 567 | UB=YC(JYP1)-YC(JY) |
|---|
| 568 | U=UA/UB |
|---|
| 569 | |
|---|
| 570 | ! Use bilinear interpolation to determine function at point X,Y. |
|---|
| 571 | VAL=(1.-T)*(1.-U)*SXY + T*(1.0-U)*SX1Y + T*U*SX1Y1 + (1.0-T)*U*SXY1 |
|---|
| 572 | |
|---|
| 573 | IF(VAL.LT.9.0) VAL=9.0 |
|---|
| 574 | IF(VAL.GT.99.99) VAL=99.99 |
|---|
| 575 | |
|---|
| 576 | RETURN |
|---|
| 577 | END SUBROUTINE |
|---|
| 578 | !**************************************************************** |
|---|
| 579 | SUBROUTINE POSITION(XC,X,N,JX,IER) |
|---|
| 580 | |
|---|
| 581 | IMPLICIT NONE |
|---|
| 582 | |
|---|
| 583 | INTEGER N,JX,IER,I |
|---|
| 584 | REAL X,XC(N) |
|---|
| 585 | |
|---|
| 586 | IER=0 |
|---|
| 587 | IF(X.LT.XC(1)) THEN |
|---|
| 588 | JX=0 |
|---|
| 589 | ELSE |
|---|
| 590 | DO 10 I=1,N |
|---|
| 591 | IF (X.LT.XC(I)) GO TO 20 |
|---|
| 592 | 10 CONTINUE |
|---|
| 593 | IER=1 |
|---|
| 594 | 20 JX=I-1 |
|---|
| 595 | ENDIF |
|---|
| 596 | |
|---|
| 597 | RETURN |
|---|
| 598 | END SUBROUTINE |
|---|
| 599 | !******************************************************************** |
|---|
| 600 | SUBROUTINE POSACT(XT,X,N,JX) |
|---|
| 601 | |
|---|
| 602 | ! POSITION OF XT IN THE ARRAY X |
|---|
| 603 | ! ----------------------------------------------- |
|---|
| 604 | |
|---|
| 605 | IMPLICIT NONE |
|---|
| 606 | |
|---|
| 607 | INTEGER N |
|---|
| 608 | REAL XT,X(N) |
|---|
| 609 | ! Working variables |
|---|
| 610 | INTEGER JX,I |
|---|
| 611 | |
|---|
| 612 | IF(XT.GT.X(1)) THEN |
|---|
| 613 | JX=0 |
|---|
| 614 | ELSE |
|---|
| 615 | DO 10 I=1,N |
|---|
| 616 | IF (XT.GT.X(I)) GO TO 20 |
|---|
| 617 | 10 CONTINUE |
|---|
| 618 | 20 JX=I |
|---|
| 619 | ENDIF |
|---|
| 620 | |
|---|
| 621 | RETURN |
|---|
| 622 | END SUBROUTINE |
|---|
| 623 | |
|---|
| 624 | END MODULE sulfate_aer_mod |
|---|
