| 1 | ! |
|---|
| 2 | ! $Id: acama_gwd_rando_m.f90 5274 2024-10-25 13:41:23Z abarral $ |
|---|
| 3 | ! |
|---|
| 4 | module ACAMA_GWD_rando_m |
|---|
| 5 | |
|---|
| 6 | implicit none |
|---|
| 7 | |
|---|
| 8 | contains |
|---|
| 9 | |
|---|
| 10 | SUBROUTINE ACAMA_GWD_rando(DTIME, pp, plat, tt, uu, vv, rot, & |
|---|
| 11 | zustr, zvstr, d_u, d_v,east_gwstress,west_gwstress) |
|---|
| 12 | |
|---|
| 13 | ! Parametrization of the momentum flux deposition due to a discrete |
|---|
| 14 | ! number of gravity waves. |
|---|
| 15 | ! Author: F. Lott, A. de la Camara |
|---|
| 16 | ! July, 24th, 2014 |
|---|
| 17 | ! Gaussian distribution of the source, source is vorticity squared |
|---|
| 18 | ! Reference: de la Camara and Lott (GRL, 2015, vol 42, 2071-2078 ) |
|---|
| 19 | ! Lott et al (JAS, 2010, vol 67, page 157-170) |
|---|
| 20 | ! Lott et al (JAS, 2012, vol 69, page 2134-2151) |
|---|
| 21 | |
|---|
| 22 | ! ONLINE: |
|---|
| 23 | USE yomcst_mod_h, ONLY: RPI, RCLUM, RHPLA, RKBOL, RNAVO & |
|---|
| 24 | , RDAY, REA, REPSM, RSIYEA, RSIDAY, ROMEGA & |
|---|
| 25 | , R_ecc, R_peri, R_incl & |
|---|
| 26 | , RA, RG, R1SA & |
|---|
| 27 | , RSIGMA & |
|---|
| 28 | , R, RMD, RMV, RD, RV, RCPD & |
|---|
| 29 | , RMO3, RMCO2, RMC, RMCH4, RMN2O, RMCFC11, RMCFC12 & |
|---|
| 30 | , RCPV, RCVD, RCVV, RKAPPA, RETV, eps_w & |
|---|
| 31 | , RCW, RCS & |
|---|
| 32 | , RLVTT, RLSTT, RLMLT, RTT, RATM & |
|---|
| 33 | , RESTT, RALPW, RBETW, RGAMW, RALPS, RBETS, RGAMS & |
|---|
| 34 | , RALPD, RBETD, RGAMD |
|---|
| 35 | use dimphy, only: klon, klev |
|---|
| 36 | use assert_m, only: assert |
|---|
| 37 | USE ioipsl_getin_p_mod, ONLY : getin_p |
|---|
| 38 | USE vertical_layers_mod, ONLY : presnivs |
|---|
| 39 | |
|---|
| 40 | |
|---|
| 41 | include "clesphys.h" |
|---|
| 42 | ! OFFLINE: |
|---|
| 43 | ! include "dimensions_mod.f90" |
|---|
| 44 | ! include "dimphy.h" |
|---|
| 45 | !END DIFFERENCE |
|---|
| 46 | include "YOEGWD.h" |
|---|
| 47 | |
|---|
| 48 | ! 0. DECLARATIONS: |
|---|
| 49 | |
|---|
| 50 | ! 0.1 INPUTS |
|---|
| 51 | REAL, intent(in)::DTIME ! Time step of the Physics |
|---|
| 52 | REAL, intent(in):: PP(:, :) ! (KLON, KLEV) Pressure at full levels |
|---|
| 53 | REAL, intent(in):: ROT(:,:) ! Relative vorticity |
|---|
| 54 | REAL, intent(in):: TT(:, :) ! (KLON, KLEV) Temp at full levels |
|---|
| 55 | REAL, intent(in):: UU(:, :) ! (KLON, KLEV) Zonal wind at full levels |
|---|
| 56 | REAL, intent(in):: VV(:, :) ! (KLON, KLEV) Merid wind at full levels |
|---|
| 57 | REAL, intent(in):: PLAT(:) ! (KLON) LATITUDE |
|---|
| 58 | |
|---|
| 59 | ! 0.2 OUTPUTS |
|---|
| 60 | REAL, intent(out):: zustr(:), zvstr(:) ! (KLON) Surface Stresses |
|---|
| 61 | |
|---|
| 62 | REAL, intent(inout):: d_u(:, :), d_v(:, :) |
|---|
| 63 | REAL, intent(inout):: east_gwstress(:, :) ! Profile of eastward stress |
|---|
| 64 | REAL, intent(inout):: west_gwstress(:, :) ! Profile of westward stress |
|---|
| 65 | ! (KLON, KLEV) tendencies on winds |
|---|
| 66 | |
|---|
| 67 | ! O.3 INTERNAL ARRAYS |
|---|
| 68 | REAL BVLOW(klon) ! LOW LEVEL BV FREQUENCY |
|---|
| 69 | REAL ROTBA(KLON),CORIO(KLON) ! BAROTROPIC REL. VORTICITY AND PLANETARY |
|---|
| 70 | REAL UZ(KLON, KLEV + 1) |
|---|
| 71 | |
|---|
| 72 | INTEGER II, JJ, LL |
|---|
| 73 | |
|---|
| 74 | ! 0.3.0 TIME SCALE OF THE LIFE CYCLE OF THE WAVES PARAMETERIZED |
|---|
| 75 | |
|---|
| 76 | REAL DELTAT |
|---|
| 77 | |
|---|
| 78 | ! 0.3.1 GRAVITY-WAVES SPECIFICATIONS |
|---|
| 79 | |
|---|
| 80 | INTEGER, PARAMETER:: NK = 2, NP = 2, NO = 2, NW = NK * NP * NO |
|---|
| 81 | INTEGER JK, JP, JO, JW |
|---|
| 82 | INTEGER, PARAMETER:: NA = 5 !number of realizations to get the phase speed |
|---|
| 83 | REAL KMIN, KMAX ! Min and Max horizontal wavenumbers |
|---|
| 84 | REAL CMIN, CMAX ! Min and Max absolute ph. vel. |
|---|
| 85 | REAL CPHA ! absolute PHASE VELOCITY frequency |
|---|
| 86 | REAL ZK(NW, KLON) ! Horizontal wavenumber amplitude |
|---|
| 87 | REAL ZP(NW, KLON) ! Horizontal wavenumber angle |
|---|
| 88 | REAL ZO(NW, KLON) ! Absolute frequency ! |
|---|
| 89 | |
|---|
| 90 | ! Waves Intr. freq. at the 1/2 lev surrounding the full level |
|---|
| 91 | REAL ZOM(NW, KLON), ZOP(NW, KLON) |
|---|
| 92 | |
|---|
| 93 | ! Wave EP-fluxes at the 2 semi levels surrounding the full level |
|---|
| 94 | REAL WWM(NW, KLON), WWP(NW, KLON) |
|---|
| 95 | |
|---|
| 96 | REAL RUW0(NW, KLON) ! Fluxes at launching level |
|---|
| 97 | |
|---|
| 98 | REAL RUWP(NW, KLON), RVWP(NW, KLON) |
|---|
| 99 | ! Fluxes X and Y for each waves at 1/2 Levels |
|---|
| 100 | |
|---|
| 101 | INTEGER LAUNCH, LTROP ! Launching altitude and tropo altitude |
|---|
| 102 | |
|---|
| 103 | REAL XLAUNCH ! Controle the launching altitude |
|---|
| 104 | REAL XTROP ! SORT of Tropopause altitude |
|---|
| 105 | REAL RUW(KLON, KLEV + 1) ! Flux x at semi levels |
|---|
| 106 | REAL RVW(KLON, KLEV + 1) ! Flux y at semi levels |
|---|
| 107 | |
|---|
| 108 | REAL PRMAX ! Maximum value of PREC, and for which our linear formula |
|---|
| 109 | ! for GWs parameterisation apply |
|---|
| 110 | |
|---|
| 111 | ! 0.3.2 PARAMETERS OF WAVES DISSIPATIONS |
|---|
| 112 | |
|---|
| 113 | REAL RDISS, ZOISEC ! COEFF DE DISSIPATION, SECURITY FOR INTRINSIC FREQ |
|---|
| 114 | REAL CORSEC ! SECURITY FOR INTRINSIC CORIOLIS |
|---|
| 115 | REAL RUWFRT,SATFRT |
|---|
| 116 | |
|---|
| 117 | ! 0.3.3 BACKGROUND FLOW AT 1/2 LEVELS AND VERTICAL COORDINATE |
|---|
| 118 | |
|---|
| 119 | REAL H0 ! Characteristic Height of the atmosphere |
|---|
| 120 | REAL DZ ! Characteristic depth of the source! |
|---|
| 121 | REAL PR, TR ! Reference Pressure and Temperature |
|---|
| 122 | |
|---|
| 123 | REAL ZH(KLON, KLEV + 1) ! Log-pressure altitude |
|---|
| 124 | |
|---|
| 125 | REAL UH(KLON, KLEV + 1), VH(KLON, KLEV + 1) ! Winds at 1/2 levels |
|---|
| 126 | REAL PH(KLON, KLEV + 1) ! Pressure at 1/2 levels |
|---|
| 127 | REAL PSEC ! Security to avoid division by 0 pressure |
|---|
| 128 | REAL PHM1(KLON, KLEV + 1) ! 1/Press at 1/2 levels |
|---|
| 129 | REAL BV(KLON, KLEV + 1) ! Brunt Vaisala freq. (BVF) at 1/2 levels |
|---|
| 130 | REAL BVSEC ! Security to avoid negative BVF |
|---|
| 131 | |
|---|
| 132 | REAL, DIMENSION(klev+1) ::HREF |
|---|
| 133 | LOGICAL, SAVE :: gwd_reproductibilite_mpiomp=.true. |
|---|
| 134 | LOGICAL, SAVE :: firstcall = .TRUE. |
|---|
| 135 | !$OMP THREADPRIVATE(firstcall,gwd_reproductibilite_mpiomp) |
|---|
| 136 | |
|---|
| 137 | CHARACTER (LEN=20) :: modname='acama_gwd_rando_m' |
|---|
| 138 | CHARACTER (LEN=80) :: abort_message |
|---|
| 139 | |
|---|
| 140 | |
|---|
| 141 | |
|---|
| 142 | IF (firstcall) THEN |
|---|
| 143 | ! Cle introduite pour resoudre un probleme de non reproductibilite |
|---|
| 144 | ! Le but est de pouvoir tester de revenir a la version precedenete |
|---|
| 145 | ! A eliminer rapidement |
|---|
| 146 | CALL getin_p('gwd_reproductibilite_mpiomp',gwd_reproductibilite_mpiomp) |
|---|
| 147 | IF (NW+4*(NA-1)+NA>=KLEV) THEN |
|---|
| 148 | abort_message = 'NW+3*NA>=KLEV Probleme pour generation des ondes' |
|---|
| 149 | CALL abort_physic (modname,abort_message,1) |
|---|
| 150 | ENDIF |
|---|
| 151 | firstcall=.false. |
|---|
| 152 | ! CALL iophys_ini(dtime) |
|---|
| 153 | ENDIF |
|---|
| 154 | |
|---|
| 155 | !----------------------------------------------------------------- |
|---|
| 156 | |
|---|
| 157 | ! 1. INITIALISATIONS |
|---|
| 158 | |
|---|
| 159 | ! 1.1 Basic parameter |
|---|
| 160 | |
|---|
| 161 | ! Are provided from elsewhere (latent heat of vaporization, dry |
|---|
| 162 | ! gaz constant for air, gravity constant, heat capacity of dry air |
|---|
| 163 | ! at constant pressure, earth rotation rate, pi). |
|---|
| 164 | |
|---|
| 165 | ! 1.2 Tuning parameters of V14 |
|---|
| 166 | |
|---|
| 167 | ! Values for linear in rot (recommended): |
|---|
| 168 | ! RUWFRT=0.005 ! As RUWMAX but for frontal waves |
|---|
| 169 | ! SATFRT=1.00 ! As SAT but for frontal waves |
|---|
| 170 | ! Values when rot^2 is used |
|---|
| 171 | ! RUWFRT=0.02 ! As RUWMAX but for frontal waves |
|---|
| 172 | ! SATFRT=1.00 ! As SAT but for frontal waves |
|---|
| 173 | ! CMAX = 30. ! Characteristic phase speed |
|---|
| 174 | ! Values when rot^2*EXP(-pi*sqrt(J)) is used |
|---|
| 175 | ! RUWFRT=2.5 ! As RUWMAX but for frontal waves ~ N0*F0/4*DZ |
|---|
| 176 | ! SATFRT=0.60 ! As SAT but for frontal waves |
|---|
| 177 | RUWFRT=gwd_front_ruwmax |
|---|
| 178 | SATFRT=gwd_front_sat |
|---|
| 179 | CMAX = 50. ! Characteristic phase speed |
|---|
| 180 | ! Phase speed test |
|---|
| 181 | ! RUWFRT=0.01 |
|---|
| 182 | ! CMAX = 50. ! Characteristic phase speed (TEST) |
|---|
| 183 | ! Values when rot^2 and exp(-m^2*dz^2) are used |
|---|
| 184 | ! RUWFRT=0.03 ! As RUWMAX but for frontal waves |
|---|
| 185 | ! SATFRT=1.00 ! As SAT but for frontal waves |
|---|
| 186 | ! CRUCIAL PARAMETERS FOR THE WIND FILTERING |
|---|
| 187 | XLAUNCH=0.95 ! Parameter that control launching altitude |
|---|
| 188 | RDISS = 0.5 ! Diffusion parameter |
|---|
| 189 | |
|---|
| 190 | ! maximum of rain for which our theory applies (in kg/m^2/s) |
|---|
| 191 | |
|---|
| 192 | DZ = 1000. ! Characteristic depth of the source |
|---|
| 193 | XTROP=0.2 ! Parameter that control tropopause altitude |
|---|
| 194 | DELTAT=24.*3600. ! Time scale of the waves (first introduced in 9b) |
|---|
| 195 | ! DELTAT=DTIME ! No AR-1 Accumulation, OR OFFLINE |
|---|
| 196 | |
|---|
| 197 | KMIN = 2.E-5 |
|---|
| 198 | ! minimum horizontal wavenumber (inverse of the subgrid scale resolution) |
|---|
| 199 | |
|---|
| 200 | KMAX = 1.E-3 ! Max horizontal wavenumber |
|---|
| 201 | CMIN = 1. ! Min phase velocity |
|---|
| 202 | |
|---|
| 203 | TR = 240. ! Reference Temperature |
|---|
| 204 | PR = 101300. ! Reference pressure |
|---|
| 205 | H0 = RD * TR / RG ! Characteristic vertical scale height |
|---|
| 206 | |
|---|
| 207 | BVSEC = 5.E-3 ! Security to avoid negative BVF |
|---|
| 208 | PSEC = 1.E-6 ! Security to avoid division by 0 pressure |
|---|
| 209 | ZOISEC = 1.E-6 ! Security FOR 0 INTRINSIC FREQ |
|---|
| 210 | CORSEC = ROMEGA*2.*SIN(2.*RPI/180.)! Security for CORIO |
|---|
| 211 | |
|---|
| 212 | ! ONLINE |
|---|
| 213 | call assert(klon == (/size(pp, 1), size(tt, 1), size(uu, 1), & |
|---|
| 214 | size(vv, 1), size(rot,1), size(zustr), size(zvstr), size(d_u, 1), & |
|---|
| 215 | size(d_v, 1), & |
|---|
| 216 | size(east_gwstress,1), size(west_gwstress,1) /), & |
|---|
| 217 | "ACAMA_GWD_RANDO klon") |
|---|
| 218 | call assert(klev == (/size(pp, 2), size(tt, 2), size(uu, 2), & |
|---|
| 219 | size(vv, 2), size(d_u, 2), size(d_v, 2), & |
|---|
| 220 | size(east_gwstress,2), size(west_gwstress,2) /), & |
|---|
| 221 | "ACAMA_GWD_RANDO klev") |
|---|
| 222 | ! END ONLINE |
|---|
| 223 | |
|---|
| 224 | IF(DELTAT < DTIME)THEN |
|---|
| 225 | ! PRINT *, 'flott_gwd_rando: deltat < dtime!' |
|---|
| 226 | ! STOP 1 |
|---|
| 227 | abort_message=' deltat < dtime! ' |
|---|
| 228 | CALL abort_physic(modname,abort_message,1) |
|---|
| 229 | ENDIF |
|---|
| 230 | |
|---|
| 231 | IF (KLEV < NW) THEN |
|---|
| 232 | ! PRINT *, 'flott_gwd_rando: you will have problem with random numbers' |
|---|
| 233 | ! STOP 1 |
|---|
| 234 | abort_message=' you will have problem with random numbers' |
|---|
| 235 | CALL abort_physic(modname,abort_message,1) |
|---|
| 236 | ENDIF |
|---|
| 237 | |
|---|
| 238 | ! 2. EVALUATION OF THE BACKGROUND FLOW AT SEMI-LEVELS |
|---|
| 239 | |
|---|
| 240 | ! Pressure and Inv of pressure |
|---|
| 241 | DO LL = 2, KLEV |
|---|
| 242 | PH(:, LL) = EXP((LOG(PP(:, LL)) + LOG(PP(:, LL - 1))) / 2.) |
|---|
| 243 | PHM1(:, LL) = 1. / PH(:, LL) |
|---|
| 244 | end DO |
|---|
| 245 | |
|---|
| 246 | PH(:, KLEV + 1) = 0. |
|---|
| 247 | PHM1(:, KLEV + 1) = 1. / PSEC |
|---|
| 248 | PH(:, 1) = 2. * PP(:, 1) - PH(:, 2) |
|---|
| 249 | |
|---|
| 250 | ! Launching altitude |
|---|
| 251 | |
|---|
| 252 | IF (gwd_reproductibilite_mpiomp) THEN |
|---|
| 253 | ! Reprend la formule qui calcule PH en fonction de PP=play |
|---|
| 254 | DO LL = 2, KLEV |
|---|
| 255 | HREF(LL) = EXP((LOG(presnivs(LL)) + LOG(presnivs(LL - 1))) / 2.) |
|---|
| 256 | end DO |
|---|
| 257 | HREF(KLEV + 1) = 0. |
|---|
| 258 | HREF(1) = 2. * presnivs(1) - HREF(2) |
|---|
| 259 | ELSE |
|---|
| 260 | HREF(1:KLEV)=PH(KLON/2,1:KLEV) |
|---|
| 261 | ENDIF |
|---|
| 262 | |
|---|
| 263 | LAUNCH=0 |
|---|
| 264 | LTROP =0 |
|---|
| 265 | DO LL = 1, KLEV |
|---|
| 266 | IF (HREF(LL) / HREF(1) > XLAUNCH) LAUNCH = LL |
|---|
| 267 | ENDDO |
|---|
| 268 | DO LL = 1, KLEV |
|---|
| 269 | IF (HREF(LL) / HREF(1) > XTROP) LTROP = LL |
|---|
| 270 | ENDDO |
|---|
| 271 | !LAUNCH=22 ; LTROP=33 |
|---|
| 272 | ! print*,'LAUNCH=',LAUNCH,'LTROP=',LTROP |
|---|
| 273 | |
|---|
| 274 | |
|---|
| 275 | ! PRINT *,'LAUNCH IN ACAMARA:',LAUNCH |
|---|
| 276 | |
|---|
| 277 | ! Log pressure vert. coordinate |
|---|
| 278 | DO LL = 1, KLEV + 1 |
|---|
| 279 | ZH(:, LL) = H0 * LOG(PR / (PH(:, LL) + PSEC)) |
|---|
| 280 | end DO |
|---|
| 281 | |
|---|
| 282 | ! BV frequency |
|---|
| 283 | DO LL = 2, KLEV |
|---|
| 284 | ! BVSEC: BV Frequency (UH USED IS AS A TEMPORARY ARRAY DOWN TO WINDS) |
|---|
| 285 | UH(:, LL) = 0.5 * (TT(:, LL) + TT(:, LL - 1)) & |
|---|
| 286 | * RD**2 / RCPD / H0**2 + (TT(:, LL) & |
|---|
| 287 | - TT(:, LL - 1)) / (ZH(:, LL) - ZH(:, LL - 1)) * RD / H0 |
|---|
| 288 | end DO |
|---|
| 289 | BVLOW = 0.5 * (TT(:, LTROP )+ TT(:, LAUNCH)) & |
|---|
| 290 | * RD**2 / RCPD / H0**2 + (TT(:, LTROP ) & |
|---|
| 291 | - TT(:, LAUNCH))/(ZH(:, LTROP )- ZH(:, LAUNCH)) * RD / H0 |
|---|
| 292 | |
|---|
| 293 | UH(:, 1) = UH(:, 2) |
|---|
| 294 | UH(:, KLEV + 1) = UH(:, KLEV) |
|---|
| 295 | BV(:, 1) = UH(:, 2) |
|---|
| 296 | BV(:, KLEV + 1) = UH(:, KLEV) |
|---|
| 297 | ! SMOOTHING THE BV HELPS |
|---|
| 298 | DO LL = 2, KLEV |
|---|
| 299 | BV(:, LL)=(UH(:, LL+1)+2.*UH(:, LL)+UH(:, LL-1))/4. |
|---|
| 300 | end DO |
|---|
| 301 | |
|---|
| 302 | BV=MAX(SQRT(MAX(BV, 0.)), BVSEC) |
|---|
| 303 | BVLOW=MAX(SQRT(MAX(BVLOW, 0.)), BVSEC) |
|---|
| 304 | |
|---|
| 305 | ! WINDS |
|---|
| 306 | DO LL = 2, KLEV |
|---|
| 307 | UH(:, LL) = 0.5 * (UU(:, LL) + UU(:, LL - 1)) ! Zonal wind |
|---|
| 308 | VH(:, LL) = 0.5 * (VV(:, LL) + VV(:, LL - 1)) ! Meridional wind |
|---|
| 309 | UZ(:, LL) = ABS((SQRT(UU(:, LL)**2+VV(:, LL)**2) & |
|---|
| 310 | - SQRT(UU(:,LL-1)**2+VV(:, LL-1)**2)) & |
|---|
| 311 | /(ZH(:, LL)-ZH(:, LL-1)) ) |
|---|
| 312 | end DO |
|---|
| 313 | UH(:, 1) = 0. |
|---|
| 314 | VH(:, 1) = 0. |
|---|
| 315 | UH(:, KLEV + 1) = UU(:, KLEV) |
|---|
| 316 | VH(:, KLEV + 1) = VV(:, KLEV) |
|---|
| 317 | |
|---|
| 318 | UZ(:, 1) = UZ(:, 2) |
|---|
| 319 | UZ(:, KLEV + 1) = UZ(:, KLEV) |
|---|
| 320 | UZ(:, :) = MAX(UZ(:,:), PSEC) |
|---|
| 321 | |
|---|
| 322 | ! BAROTROPIC VORTICITY AND INTEGRATED CORIOLIS PARAMETER |
|---|
| 323 | |
|---|
| 324 | CORIO(:) = MAX(ROMEGA*2.*ABS(SIN(PLAT(:)*RPI/180.)),CORSEC) |
|---|
| 325 | ROTBA(:)=0. |
|---|
| 326 | DO LL = 1,KLEV-1 |
|---|
| 327 | !ROTBA(:) = ROTBA(:) + (ROT(:,LL)+ROT(:,LL+1))/2./RG*(PP(:,LL)-PP(:,LL+1)) |
|---|
| 328 | ! Introducing the complete formula (exp of Richardson number): |
|---|
| 329 | ROTBA(:) = ROTBA(:) + & |
|---|
| 330 | !((ROT(:,LL)+ROT(:,LL+1))/2.)**2 & |
|---|
| 331 | (CORIO(:)*TANH(ABS(ROT(:,LL)+ROT(:,LL+1))/2./CORIO(:)))**2 & |
|---|
| 332 | /RG*(PP(:,LL)-PP(:,LL+1)) & |
|---|
| 333 | * EXP(-RPI*BV(:,LL+1)/UZ(:,LL+1)) & |
|---|
| 334 | ! * DZ*BV(:,LL+1)/4./ABS(CORIO(:)) |
|---|
| 335 | * DZ*BV(:,LL+1)/4./1.E-4 ! Changes after 1991 |
|---|
| 336 | !ARRET |
|---|
| 337 | ENDDO |
|---|
| 338 | ! PRINT *,'MAX ROTBA:',MAXVAL(ROTBA) |
|---|
| 339 | ! ROTBA(:)=(1.*ROTBA(:) & ! Testing zone |
|---|
| 340 | ! +0.15*CORIO(:)**2 & |
|---|
| 341 | ! /(COS(PLAT(:)*RPI/180.)+0.02) & |
|---|
| 342 | ! )*DZ*0.01/0.0001/4. ! & ! Testing zone |
|---|
| 343 | ! MODIF GWD4 AFTER 1985 |
|---|
| 344 | ! *(1.25+SIN(PLAT(:)*RPI/180.))/(1.05+SIN(PLAT(:)*RPI/180.))/1.25 |
|---|
| 345 | ! *1./(COS(PLAT(:)*RPI/180.)+0.02) |
|---|
| 346 | ! CORIO(:) = MAX(ROMEGA*2.*ABS(SIN(PLAT(:)*RPI/180.)),ZOISEC)/RG*PP(:,1) |
|---|
| 347 | |
|---|
| 348 | ! 3 WAVES CHARACTERISTICS CHOSEN RANDOMLY AT THE LAUNCH ALTITUDE |
|---|
| 349 | |
|---|
| 350 | ! The mod functions of weird arguments are used to produce the |
|---|
| 351 | ! waves characteristics in an almost stochastic way |
|---|
| 352 | |
|---|
| 353 | JW = 0 |
|---|
| 354 | DO JW = 1, NW |
|---|
| 355 | ! Angle |
|---|
| 356 | DO II = 1, KLON |
|---|
| 357 | ! Angle (0 or PI so far) |
|---|
| 358 | ! ZP(JW, II) = (SIGN(1., 0.5 - MOD(TT(II, JW) * 10., 1.)) + 1.) & |
|---|
| 359 | ! * RPI / 2. |
|---|
| 360 | ! Angle between 0 and pi |
|---|
| 361 | ZP(JW, II) = MOD(TT(II, JW) * 10., 1.) * RPI |
|---|
| 362 | ! TEST WITH POSITIVE WAVES ONLY (Part I/II) |
|---|
| 363 | ! ZP(JW, II) = 0. |
|---|
| 364 | ! Horizontal wavenumber amplitude |
|---|
| 365 | ZK(JW, II) = KMIN + (KMAX - KMIN) * MOD(TT(II, JW) * 100., 1.) |
|---|
| 366 | ! Horizontal phase speed |
|---|
| 367 | CPHA = 0. |
|---|
| 368 | DO JJ = 1, NA |
|---|
| 369 | CPHA = CPHA + & |
|---|
| 370 | CMAX*2.*(MOD(TT(II, JW+4*(JJ-1)+JJ)**2, 1.)-0.5)*SQRT(3.)/SQRT(NA*1.) |
|---|
| 371 | END DO |
|---|
| 372 | IF (CPHA.LT.0.) THEN |
|---|
| 373 | CPHA = -1.*CPHA |
|---|
| 374 | ZP(JW,II) = ZP(JW,II) + RPI |
|---|
| 375 | ! TEST WITH POSITIVE WAVES ONLY (Part II/II) |
|---|
| 376 | ! ZP(JW, II) = 0. |
|---|
| 377 | ENDIF |
|---|
| 378 | CPHA = CPHA + CMIN !we dont allow |c|<1m/s |
|---|
| 379 | ! Absolute frequency is imposed |
|---|
| 380 | ZO(JW, II) = CPHA * ZK(JW, II) |
|---|
| 381 | ! Intrinsic frequency is imposed |
|---|
| 382 | ZO(JW, II) = ZO(JW, II) & |
|---|
| 383 | + ZK(JW, II) * COS(ZP(JW, II)) * UH(II, LAUNCH) & |
|---|
| 384 | + ZK(JW, II) * SIN(ZP(JW, II)) * VH(II, LAUNCH) |
|---|
| 385 | ! Momentum flux at launch lev |
|---|
| 386 | ! LAUNCHED RANDOM WAVES WITH LOG-NORMAL AMPLITUDE |
|---|
| 387 | ! RIGHT IN THE SH (GWD4 after 1990) |
|---|
| 388 | RUW0(JW, II) = 0. |
|---|
| 389 | DO JJ = 1, NA |
|---|
| 390 | RUW0(JW, II) = RUW0(JW,II) + & |
|---|
| 391 | 2.*(MOD(TT(II, JW+4*(JJ-1)+JJ)**2, 1.)-0.5)*SQRT(3.)/SQRT(NA*1.) |
|---|
| 392 | END DO |
|---|
| 393 | RUW0(JW, II) = RUWFRT & |
|---|
| 394 | * EXP(RUW0(JW,II))/1250. & ! 2 mpa at south pole |
|---|
| 395 | *((1.05+SIN(PLAT(II)*RPI/180.))/(1.01+SIN(PLAT(II)*RPI/180.))-2.05/2.01) |
|---|
| 396 | ! RUW0(JW, II) = RUWFRT |
|---|
| 397 | ENDDO |
|---|
| 398 | end DO |
|---|
| 399 | |
|---|
| 400 | ! 4. COMPUTE THE FLUXES |
|---|
| 401 | |
|---|
| 402 | ! 4.0 |
|---|
| 403 | |
|---|
| 404 | ! 4.1 Vertical velocity at launching altitude to ensure |
|---|
| 405 | ! the correct value to the imposed fluxes. |
|---|
| 406 | |
|---|
| 407 | DO JW = 1, NW |
|---|
| 408 | |
|---|
| 409 | ! Evaluate intrinsic frequency at launching altitude: |
|---|
| 410 | ZOP(JW, :) = ZO(JW, :) & |
|---|
| 411 | - ZK(JW, :) * COS(ZP(JW, :)) * UH(:, LAUNCH) & |
|---|
| 412 | - ZK(JW, :) * SIN(ZP(JW, :)) * VH(:, LAUNCH) |
|---|
| 413 | |
|---|
| 414 | ! VERSION WITH FRONTAL SOURCES |
|---|
| 415 | |
|---|
| 416 | ! Momentum flux at launch level imposed by vorticity sources |
|---|
| 417 | |
|---|
| 418 | ! tanh limitation for values above CORIO (inertial instability). |
|---|
| 419 | ! WWP(JW, :) = RUW0(JW, :) & |
|---|
| 420 | WWP(JW, :) = RUWFRT & |
|---|
| 421 | ! * (CORIO(:)*TANH(ROTBA(:)/CORIO(:)))**2 & |
|---|
| 422 | ! * ABS((CORIO(:)*TANH(ROTBA(:)/CORIO(:)))*CORIO(:)) & |
|---|
| 423 | ! CONSTANT FLUX |
|---|
| 424 | ! * (CORIO(:)*CORIO(:)) & |
|---|
| 425 | ! MODERATION BY THE DEPTH OF THE SOURCE (DZ HERE) |
|---|
| 426 | ! *EXP(-BVLOW(:)**2/MAX(ABS(ZOP(JW, :)),ZOISEC)**2 & |
|---|
| 427 | ! *ZK(JW, :)**2*DZ**2) & |
|---|
| 428 | ! COMPLETE FORMULA: |
|---|
| 429 | !* CORIO(:)**2*TANH(ROTBA(:)/CORIO(:)**2) & |
|---|
| 430 | * ROTBA(:) & |
|---|
| 431 | ! RESTORE DIMENSION OF A FLUX |
|---|
| 432 | ! *RD*TR/PR |
|---|
| 433 | ! *1. + RUW0(JW, :) |
|---|
| 434 | *1. |
|---|
| 435 | |
|---|
| 436 | ! Factor related to the characteristics of the waves: NONE |
|---|
| 437 | |
|---|
| 438 | ! Moderation by the depth of the source (dz here): NONE |
|---|
| 439 | |
|---|
| 440 | ! Put the stress in the right direction: |
|---|
| 441 | |
|---|
| 442 | RUWP(JW, :) = SIGN(1., ZOP(JW, :))*COS(ZP(JW, :)) * WWP(JW, :) |
|---|
| 443 | RVWP(JW, :) = SIGN(1., ZOP(JW, :))*SIN(ZP(JW, :)) * WWP(JW, :) |
|---|
| 444 | |
|---|
| 445 | end DO |
|---|
| 446 | |
|---|
| 447 | ! 4.2 Uniform values below the launching altitude |
|---|
| 448 | |
|---|
| 449 | DO LL = 1, LAUNCH |
|---|
| 450 | RUW(:, LL) = 0 |
|---|
| 451 | RVW(:, LL) = 0 |
|---|
| 452 | DO JW = 1, NW |
|---|
| 453 | RUW(:, LL) = RUW(:, LL) + RUWP(JW, :) |
|---|
| 454 | RVW(:, LL) = RVW(:, LL) + RVWP(JW, :) |
|---|
| 455 | end DO |
|---|
| 456 | end DO |
|---|
| 457 | |
|---|
| 458 | ! 4.3 Loop over altitudes, with passage from one level to the next |
|---|
| 459 | ! done by i) conserving the EP flux, ii) dissipating a little, |
|---|
| 460 | ! iii) testing critical levels, and vi) testing the breaking. |
|---|
| 461 | |
|---|
| 462 | DO LL = LAUNCH, KLEV - 1 |
|---|
| 463 | ! Warning: all the physics is here (passage from one level |
|---|
| 464 | ! to the next) |
|---|
| 465 | DO JW = 1, NW |
|---|
| 466 | ZOM(JW, :) = ZOP(JW, :) |
|---|
| 467 | WWM(JW, :) = WWP(JW, :) |
|---|
| 468 | ! Intrinsic Frequency |
|---|
| 469 | ZOP(JW, :) = ZO(JW, :) - ZK(JW, :) * COS(ZP(JW, :)) * UH(:, LL + 1) & |
|---|
| 470 | - ZK(JW, :) * SIN(ZP(JW, :)) * VH(:, LL + 1) |
|---|
| 471 | |
|---|
| 472 | ! No breaking (Eq.6) |
|---|
| 473 | ! Dissipation (Eq. 8) |
|---|
| 474 | WWP(JW, :) = WWM(JW, :) * EXP(- 4. * RDISS * PR / (PH(:, LL + 1) & |
|---|
| 475 | + PH(:, LL)) * ((BV(:, LL + 1) + BV(:, LL)) / 2.)**3 & |
|---|
| 476 | / MAX(ABS(ZOP(JW, :) + ZOM(JW, :)) / 2., ZOISEC)**4 & |
|---|
| 477 | * ZK(JW, :)**3 * (ZH(:, LL + 1) - ZH(:, LL))) |
|---|
| 478 | |
|---|
| 479 | ! Critical levels (forced to zero if intrinsic frequency changes sign) |
|---|
| 480 | ! Saturation (Eq. 12) |
|---|
| 481 | WWP(JW, :) = min(WWP(JW, :), MAX(0., & |
|---|
| 482 | SIGN(1., ZOP(JW, :) * ZOM(JW, :))) * ABS(ZOP(JW, :))**3 & |
|---|
| 483 | ! / BV(:, LL + 1) * EXP(- ZH(:, LL + 1) / H0) * SATFRT**2 * KMIN**2 & |
|---|
| 484 | / BV(:, LL + 1) * EXP(- ZH(:, LL + 1) / H0) * KMIN**2 & |
|---|
| 485 | ! *(SATFRT*(2.5+1.5*TANH((ZH(:,LL+1)/H0-8.)/2.)))**2 & |
|---|
| 486 | *SATFRT**2 & |
|---|
| 487 | / ZK(JW, :)**4) |
|---|
| 488 | end DO |
|---|
| 489 | |
|---|
| 490 | ! Evaluate EP-flux from Eq. 7 and give the right orientation to |
|---|
| 491 | ! the stress |
|---|
| 492 | |
|---|
| 493 | DO JW = 1, NW |
|---|
| 494 | RUWP(JW, :) = SIGN(1., ZOP(JW, :))*COS(ZP(JW, :)) * WWP(JW, :) |
|---|
| 495 | RVWP(JW, :) = SIGN(1., ZOP(JW, :))*SIN(ZP(JW, :)) * WWP(JW, :) |
|---|
| 496 | end DO |
|---|
| 497 | |
|---|
| 498 | RUW(:, LL + 1) = 0. |
|---|
| 499 | RVW(:, LL + 1) = 0. |
|---|
| 500 | |
|---|
| 501 | DO JW = 1, NW |
|---|
| 502 | RUW(:, LL + 1) = RUW(:, LL + 1) + RUWP(JW, :) |
|---|
| 503 | RVW(:, LL + 1) = RVW(:, LL + 1) + RVWP(JW, :) |
|---|
| 504 | EAST_GWSTRESS(:, LL)=EAST_GWSTRESS(:, LL)+MAX(0.,RUWP(JW,:))/FLOAT(NW) |
|---|
| 505 | WEST_GWSTRESS(:, LL)=WEST_GWSTRESS(:, LL)+MIN(0.,RUWP(JW,:))/FLOAT(NW) |
|---|
| 506 | end DO |
|---|
| 507 | end DO |
|---|
| 508 | |
|---|
| 509 | ! 5 CALCUL DES TENDANCES: |
|---|
| 510 | |
|---|
| 511 | ! 5.1 Rectification des flux au sommet et dans les basses couches |
|---|
| 512 | |
|---|
| 513 | RUW(:, KLEV + 1) = 0. |
|---|
| 514 | RVW(:, KLEV + 1) = 0. |
|---|
| 515 | RUW(:, 1) = RUW(:, LAUNCH) |
|---|
| 516 | RVW(:, 1) = RVW(:, LAUNCH) |
|---|
| 517 | DO LL = 1, LAUNCH |
|---|
| 518 | RUW(:, LL) = RUW(:, LAUNCH+1) |
|---|
| 519 | RVW(:, LL) = RVW(:, LAUNCH+1) |
|---|
| 520 | EAST_GWSTRESS(:, LL)=EAST_GWSTRESS(:, LAUNCH) |
|---|
| 521 | WEST_GWSTRESS(:, LL)=WEST_GWSTRESS(:, LAUNCH) |
|---|
| 522 | end DO |
|---|
| 523 | |
|---|
| 524 | ! AR-1 RECURSIVE FORMULA (13) IN VERSION 4 |
|---|
| 525 | DO LL = 1, KLEV |
|---|
| 526 | D_U(:, LL) = (1.-DTIME/DELTAT) * D_U(:, LL) + DTIME/DELTAT/REAL(NW) * & |
|---|
| 527 | RG * (RUW(:, LL + 1) - RUW(:, LL)) & |
|---|
| 528 | / (PH(:, LL + 1) - PH(:, LL)) * DTIME |
|---|
| 529 | ! NO AR1 FOR MERIDIONAL TENDENCIES |
|---|
| 530 | ! D_V(:, LL) = (1.-DTIME/DELTAT) * D_V(:, LL) + DTIME/DELTAT/REAL(NW) * & |
|---|
| 531 | D_V(:, LL) = 1./REAL(NW) * & |
|---|
| 532 | RG * (RVW(:, LL + 1) - RVW(:, LL)) & |
|---|
| 533 | / (PH(:, LL + 1) - PH(:, LL)) * DTIME |
|---|
| 534 | ENDDO |
|---|
| 535 | |
|---|
| 536 | ! Cosmetic: evaluation of the cumulated stress |
|---|
| 537 | ZUSTR = 0. |
|---|
| 538 | ZVSTR = 0. |
|---|
| 539 | DO LL = 1, KLEV |
|---|
| 540 | ZUSTR = ZUSTR + D_U(:, LL) / RG * (PH(:, LL + 1) - PH(:, LL))/DTIME |
|---|
| 541 | ! ZVSTR = ZVSTR + D_V(:, LL) / RG * (PH(:, LL + 1) - PH(:, LL))/DTIME |
|---|
| 542 | ENDDO |
|---|
| 543 | ! COSMETICS TO VISUALIZE ROTBA |
|---|
| 544 | ZVSTR = ROTBA |
|---|
| 545 | |
|---|
| 546 | END SUBROUTINE ACAMA_GWD_RANDO |
|---|
| 547 | |
|---|
| 548 | end module ACAMA_GWD_rando_m |
|---|
