[3792] | 1 | |
---|
| 2 | |
---|
| 3 | |
---|
| 4 | |
---|
| 5 | subroutine SISVAT_TSo |
---|
| 6 | ! #e1. (ETSo_0,ETSo_1,ETSo_d) |
---|
| 7 | |
---|
| 8 | C +------------------------------------------------------------------------+ |
---|
| 9 | C | MAR SISVAT_TSo 06-10-2020 MAR | |
---|
| 10 | C | SubRoutine SISVAT_TSo computes the Soil/Snow Energy Balance | |
---|
| 11 | C +------------------------------------------------------------------------+ |
---|
| 12 | C | | |
---|
| 13 | C | PARAMETERS: knonv: Total Number of columns = | |
---|
| 14 | C | ^^^^^^^^^^ = Total Number of continental grid boxes | |
---|
| 15 | C | X Number of Mosaic Cell per grid box | |
---|
| 16 | C | | |
---|
| 17 | C | INPUT: isotSV = 0,...,11: Soil Type | |
---|
| 18 | C | ^^^^^ 0: Water, Solid or Liquid | |
---|
| 19 | C | isnoSV = total Nb of Ice/Snow Layers | |
---|
| 20 | C | dQa_SV = Limitation of Water Vapor Turbulent Flux | |
---|
| 21 | C | | |
---|
| 22 | C | INPUT: sol_SV : Downward Solar Radiation [W/m2] | |
---|
| 23 | C | ^^^^^ IRd_SV : Surface Downward Longwave Radiation [W/m2] | |
---|
| 24 | C | za__SV : SBL Top Height [m] | |
---|
| 25 | C | VV__SV : SBL Top Wind Speed [m/s] | |
---|
| 26 | C | TaT_SV : SBL Top Temperature [K] | |
---|
| 27 | C | rhT_SV : SBL Top Air Density [kg/m3] | |
---|
| 28 | C | QaT_SV : SBL Top Specific Humidity [kg/kg] | |
---|
| 29 | C | LSdzsv : Vertical Discretization Factor [-] | |
---|
| 30 | C | = 1. Soil | |
---|
| 31 | C | = 1000. Ocean | |
---|
| 32 | C | dzsnSV : Snow Layer Thickness [m] | |
---|
| 33 | C | ro__SV : Snow/Soil Volumic Mass [kg/m3] | |
---|
| 34 | C | eta_SV : Soil Water Content [m3/m3] | |
---|
| 35 | C | dt__SV : Time Step [s] | |
---|
| 36 | C | | |
---|
| 37 | C | SoSosv : Absorbed Solar Radiation by Surfac.(Normaliz)[-] | |
---|
| 38 | C | Eso_sv : Soil+Snow Emissivity [-] | |
---|
| 39 | C | rah_sv : Aerodynamic Resistance for Heat [s/m] | |
---|
| 40 | C | Lx_H2O : Latent Heat of Vaporization/Sublimation [J/kg] | |
---|
| 41 | C | sEX_sv : Verticaly Integrated Extinction Coefficient [-] | |
---|
| 42 | C | | |
---|
| 43 | C | INPUT / TsisSV : Soil/Ice Temperatures (layers -nsol,-nsol+1,..,0)| |
---|
| 44 | C | OUTPUT: & Snow Temperatures (layers 1,2,...,nsno) [K] | |
---|
| 45 | C | ^^^^^^ | |
---|
| 46 | C | | |
---|
| 47 | C | OUTPUT: IRs_SV : Soil IR Radiation [W/m2] | |
---|
| 48 | C | ^^^^^^ HSs_sv : Sensible Heat Flux [W/m2] | |
---|
| 49 | C | HLs_sv : Latent Heat Flux [W/m2] | |
---|
| 50 | C | ETSo_0 : Snow/Soil Energy Power, before Forcing [W/m2] | |
---|
| 51 | C | ETSo_1 : Snow/Soil Energy Power, after Forcing [W/m2] | |
---|
| 52 | C | ETSo_d : Snow/Soil Energy Power Forcing [W/m2] | |
---|
| 53 | C | | |
---|
| 54 | C | Internal Variables: | |
---|
| 55 | C | ^^^^^^^^^^^^^^^^^^ | |
---|
| 56 | C | | |
---|
| 57 | C | METHOD: NO Skin Surface Temperature | |
---|
| 58 | C | ^^^^^^ Semi-Implicit Crank Nicholson Scheme | |
---|
| 59 | C | | |
---|
| 60 | C | # OPTIONS: #E0: Energy Budget Verification | |
---|
| 61 | C | # ^^^^^^^ #kd: KDsvat Option:NO Flux Limitor on HL | |
---|
| 62 | C | # #KD: KDsvat Option:Explicit Formulation of HL | |
---|
| 63 | C | # #NC: OUTPUT for Stand Alone NetCDF File | |
---|
| 64 | C | | |
---|
| 65 | C +------------------------------------------------------------------------+ |
---|
| 66 | |
---|
| 67 | |
---|
| 68 | |
---|
| 69 | |
---|
| 70 | C +--Global Variables |
---|
| 71 | C + ================ |
---|
| 72 | |
---|
| 73 | use VARphy |
---|
| 74 | use VAR_SV |
---|
| 75 | use VARdSV |
---|
| 76 | use VARxSV |
---|
| 77 | use VARySV |
---|
| 78 | use VARtSV |
---|
| 79 | use VAR0SV |
---|
| 80 | |
---|
| 81 | |
---|
| 82 | IMPLICIT NONE |
---|
| 83 | |
---|
| 84 | |
---|
| 85 | C +--OUTPUT |
---|
| 86 | C + ------ |
---|
| 87 | |
---|
| 88 | ! #e1 real ETSo_0(knonv) ! Soil/Snow Power, before Forcing |
---|
| 89 | ! #e1 real ETSo_1(knonv) ! Soil/Snow Power, after Forcing |
---|
| 90 | ! #e1 real ETSo_d(knonv) ! Soil/Snow Power, Forcing |
---|
| 91 | |
---|
| 92 | |
---|
| 93 | C +--Internal Variables |
---|
| 94 | C + ================== |
---|
| 95 | |
---|
| 96 | integer ikl ,isl ,jsl ,ist ! |
---|
| 97 | integer ist__s,ist__w ! Soil/Water Body Identifier |
---|
| 98 | integer islsgn ! Soil/Snow Surfac.Identifier |
---|
| 99 | real eps__3 ! Arbitrary Low Number |
---|
| 100 | real etaMid,psiMid ! Layer Interface's Humidity |
---|
| 101 | real mu_eta ! Soil thermal Conductivity |
---|
| 102 | real mu_exp ! arg Soil thermal Conductivity |
---|
| 103 | real mu_min ! Min Soil thermal Conductivity |
---|
| 104 | real mu_max ! Max Soil thermal Conductivity |
---|
| 105 | real mu_sno(knonv),mu_aux ! Snow thermal Conductivity |
---|
| 106 | real mu__dz(knonv,-nsol:nsno+1) ! mu_(eta,sno) / dz |
---|
| 107 | real dtC_sv(knonv,-nsol:nsno) ! dt / C |
---|
| 108 | real IRs__D(knonv) ! UpwardIR Previous Iter.Contr. |
---|
| 109 | real dIRsdT(knonv) ! UpwardIR T Derivat. |
---|
| 110 | real f_HSHL(knonv) ! Factor common to HS and HL |
---|
| 111 | real dRidTs(knonv) ! d(Rib)/d(Ts) |
---|
| 112 | real HS___D(knonv) ! Sensible Heat Flux Atm.Contr. |
---|
| 113 | real f___HL(knonv) ! |
---|
| 114 | real HL___D(knonv) ! Latent Heat Flux Atm.Contr. |
---|
| 115 | REAL TSurf0(knonv),dTSurf ! Previous Surface Temperature |
---|
| 116 | real qsatsg(knonv) !,den_qs,arg_qs ! Soil Saturat. Spec. Humidity |
---|
| 117 | real dqs_dT(knonv) ! d(qsatsg)/dTv |
---|
| 118 | real Psi( knonv) ! 1st Soil Layer Water Potential |
---|
| 119 | real RHuSol(knonv) ! Soil Surface Relative Humidity |
---|
| 120 | real etaSol ! Soil Surface Humidity |
---|
| 121 | real d__eta ! Soil Surface Humidity Increm. |
---|
| 122 | real Elem_A,Elem_C ! Diagonal Coefficients |
---|
| 123 | real Diag_A(knonv,-nsol:nsno) ! A Diagonal |
---|
| 124 | real Diag_B(knonv,-nsol:nsno) ! B Diagonal |
---|
| 125 | real Diag_C(knonv,-nsol:nsno) ! C Diagonal |
---|
| 126 | real Term_D(knonv,-nsol:nsno) ! Independant Term |
---|
| 127 | real Aux__P(knonv,-nsol:nsno) ! P Auxiliary Variable |
---|
| 128 | real Aux__Q(knonv,-nsol:nsno) ! Q Auxiliary Variable |
---|
| 129 | real Ts_Min,Ts_Max ! Temperature Limits |
---|
| 130 | ! #e1 real Exist0 ! Existing Layer Switch |
---|
| 131 | real psat_wat, psat_ice, sp ! computation of qsat |
---|
| 132 | |
---|
| 133 | integer nt_srf,it_srf,itEuBk ! HL: Surface Scheme |
---|
| 134 | parameter(nt_srf=10) ! |
---|
| 135 | real agpsrf,xgpsrf,dt_srf,dt_ver ! |
---|
| 136 | real etaBAK(knonv) ! |
---|
| 137 | real etaNEW(knonv) ! |
---|
| 138 | real etEuBk(knonv) ! |
---|
| 139 | real fac_dt(knonv),faceta(knonv) ! |
---|
| 140 | real PsiArg(knonv),SHuSol(knonv) ! |
---|
| 141 | |
---|
| 142 | |
---|
| 143 | |
---|
| 144 | C +--Internal DATA |
---|
| 145 | C + ============= |
---|
| 146 | |
---|
| 147 | data eps__3 / 1.e-3 / ! Arbitrary Low Number |
---|
| 148 | data mu_exp / -0.4343 / ! Soil Thermal Conductivity |
---|
| 149 | data mu_min / 0.172 / ! Min Soil Thermal Conductivity |
---|
| 150 | data mu_max / 2.000 / ! Max Soil Thermal Conductivity |
---|
| 151 | data Ts_Min / 175. / ! Temperature Minimum |
---|
| 152 | data Ts_Max / 300. / ! Temperature Acceptable Maximum |
---|
| 153 | C + ! including Snow Melt Energy |
---|
| 154 | |
---|
| 155 | |
---|
| 156 | |
---|
| 157 | C +--Heat Conduction Coefficient (zero in the Layers over the highest one) |
---|
| 158 | C + =========================== |
---|
| 159 | C + ---------------- isl eta_SV, rho C (isl) |
---|
| 160 | C + |
---|
| 161 | C +--Soil ++++++++++++++++ etaMid, mu (isl) |
---|
| 162 | C + ---- |
---|
| 163 | C + ---------------- isl-1 eta_SV, rho C (isl-1) |
---|
| 164 | isl=-nsol |
---|
| 165 | DO ikl=1,knonv |
---|
| 166 | |
---|
| 167 | mu__dz(ikl,isl) = 0. |
---|
| 168 | |
---|
| 169 | dtC_sv(ikl,isl) = dtz_SV2(isl) * dt__SV ! dt / (dz X rho C) |
---|
| 170 | . /((rocsSV(isotSV(ikl)) ! [s / (m.J/m3/K)] |
---|
| 171 | . +rcwdSV*eta_SV(ikl,isl)) ! |
---|
| 172 | . *LSdzsv(ikl) ) ! |
---|
| 173 | END DO |
---|
| 174 | DO isl=-nsol+1,0 |
---|
| 175 | DO ikl=1,knonv |
---|
| 176 | ist = isotSV(ikl) ! Soil Type |
---|
| 177 | ist__s = min(ist, 1) ! 1 => Soil |
---|
| 178 | ist__w = 1 - ist__s ! 1 => Water Body |
---|
| 179 | |
---|
| 180 | etaMid = 0.5*(dz_dSV(isl-1)*eta_SV(ikl,isl-1) ! eta at layers |
---|
| 181 | . +dz_dSV(isl) *eta_SV(ikl,isl) ) ! interface |
---|
| 182 | . /dzmiSV(isl) ! LSdzsv implicit ! |
---|
| 183 | etaMid = max(etaMid,epsi) |
---|
| 184 | psiMid = psidSV(ist) |
---|
| 185 | . *(etadSV(ist)/etaMid)**bCHdSV(ist) |
---|
| 186 | mu_eta = 3.82 *(psiMid)**mu_exp ! Soil Thermal |
---|
| 187 | mu_eta = min(max(mu_eta, mu_min), mu_max) ! Conductivity |
---|
| 188 | C + ! DR97 eq.3.31 |
---|
| 189 | mu_eta = ist__s *mu_eta +ist__w * vK_dSV ! Water Bodies |
---|
| 190 | C + ! Correction |
---|
| 191 | mu__dz(ikl,isl) = mu_eta/(dzmiSV(isl) ! |
---|
| 192 | . *LSdzsv(ikl)) ! |
---|
| 193 | |
---|
| 194 | dtC_sv(ikl,isl) = dtz_SV2(isl)* dt__SV ! dt / (dz X rho C) |
---|
| 195 | . /((rocsSV(isotSV(ikl)) ! |
---|
| 196 | . +rcwdSV*eta_SV(ikl,isl)) ! |
---|
| 197 | . *LSdzsv(ikl) ) ! |
---|
| 198 | END DO |
---|
| 199 | END DO |
---|
| 200 | |
---|
| 201 | |
---|
| 202 | C +--Soil/Snow Interface |
---|
| 203 | C + ------------------- |
---|
| 204 | |
---|
| 205 | C +--Soil Contribution |
---|
| 206 | C + ^^^^^^^^^^^^^^^^^ |
---|
| 207 | isl=1 |
---|
| 208 | DO ikl=1,knonv |
---|
| 209 | ist = isotSV(ikl) ! Soil Type |
---|
| 210 | ist__s = min(ist, 1) ! 1 => Soil |
---|
| 211 | ist__w = 1 - ist__s ! 1 => Water Body |
---|
| 212 | psiMid = psidSV(ist) ! Snow => Saturation |
---|
| 213 | mu_eta = 3.82 *(psiMid)**mu_exp ! Soil Thermal |
---|
| 214 | mu_eta = min(max(mu_eta, mu_min), mu_max) ! Conductivity |
---|
| 215 | C + ! DR97 eq.3.31 |
---|
| 216 | mu_eta = ist__s *mu_eta +ist__w * vK_dSV ! Water Bodies |
---|
| 217 | |
---|
| 218 | C +--Snow Contribution |
---|
| 219 | C + ^^^^^^^^^^^^^^^^^ |
---|
| 220 | mu_sno(ikl) = CdidSV ! |
---|
| 221 | . *(ro__SV(ikl,isl) /ro_Wat) ** 1.88 ! |
---|
| 222 | mu_sno(ikl) = max(epsi,mu_sno(ikl)) ! |
---|
| 223 | C +... mu_sno : Snow Heat Conductivity Coefficient [Wm/K] |
---|
| 224 | C + (Yen 1981, CRREL Rep., 81-10) |
---|
| 225 | |
---|
| 226 | C +--Combined Heat Conductivity |
---|
| 227 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 228 | mu__dz(ikl,isl) = 2./(dzsnSV(ikl,isl ) ! Combined Heat |
---|
| 229 | . /mu_sno(ikl) ! Conductivity |
---|
| 230 | . +LSdzsv(ikl) ! |
---|
| 231 | . *dz_dSV( isl-1)/mu_eta) ! Coefficient |
---|
| 232 | |
---|
| 233 | C +--Inverted Heat Capacity |
---|
| 234 | C + ^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 235 | dtC_sv(ikl,isl) = dt__SV/max(epsi, ! dt / (dz X rho C) |
---|
| 236 | . dzsnSV(ikl,isl) * ro__SV(ikl,isl) *Cn_dSV) ! |
---|
| 237 | END DO |
---|
| 238 | |
---|
| 239 | |
---|
| 240 | C +--Snow |
---|
| 241 | C + ---- |
---|
| 242 | |
---|
| 243 | DO ikl=1,knonv |
---|
| 244 | DO isl=1,min(nsno,isnoSV(ikl)+1) |
---|
| 245 | ro__SV(ikl,isl) = ! |
---|
| 246 | . ro__SV(ikl ,isl) ! |
---|
| 247 | . * max(0,min(isnoSV(ikl)-isl+1,1)) ! |
---|
| 248 | |
---|
| 249 | END DO |
---|
| 250 | END DO |
---|
| 251 | |
---|
| 252 | DO ikl=1,knonv |
---|
| 253 | DO isl=1,min(nsno,isnoSV(ikl)+1) |
---|
| 254 | |
---|
| 255 | C +--Combined Heat Conductivity |
---|
| 256 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 257 | mu_aux = CdidSV ! |
---|
| 258 | . *(ro__SV(ikl,isl) /ro_Wat) ** 1.88 ! |
---|
| 259 | mu__dz(ikl,isl) = ! |
---|
| 260 | . 2. *mu_aux*mu_sno(ikl) ! Combined Heat |
---|
| 261 | . /max(epsi,dzsnSV(ikl,isl )*mu_sno(ikl) ! Conductivity |
---|
| 262 | . +dzsnSV(ikl,isl-1)*mu_aux ) ! For upper Layer |
---|
| 263 | mu_sno(ikl) = mu_aux ! |
---|
| 264 | |
---|
| 265 | C +--Inverted Heat Capacity |
---|
| 266 | C + ^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 267 | dtC_sv(ikl,isl) = dt__SV/max(eps__3, ! dt / (dz X rho C) |
---|
| 268 | . dzsnSV(ikl,isl) * ro__SV(ikl,isl) *Cn_dSV) ! |
---|
| 269 | END DO |
---|
| 270 | END DO |
---|
| 271 | |
---|
| 272 | |
---|
| 273 | C +--Uppermost Effective Layer: NO conduction |
---|
| 274 | C + ---------------------------------------- |
---|
| 275 | |
---|
| 276 | DO ikl=1,knonv |
---|
| 277 | mu__dz(ikl,isnoSV(ikl)+1) = 0.0 |
---|
| 278 | END DO |
---|
| 279 | |
---|
| 280 | |
---|
| 281 | C +--Energy Budget (IN) |
---|
| 282 | C + ================== |
---|
| 283 | |
---|
| 284 | ! #e1 DO ikl=1,knonv |
---|
| 285 | ! #e1 ETSo_0(ikl) = 0. |
---|
| 286 | ! #e1 END DO |
---|
| 287 | ! #e1 DO isl= -nsol,nsno |
---|
| 288 | ! #e1 DO ikl=1,knonv |
---|
| 289 | ! #e1 Exist0 = isl - isnoSV(ikl) |
---|
| 290 | ! #e1 Exist0 = 1. - max(zero,min(unun,Exist0)) |
---|
| 291 | ! #e1 ETSo_0(ikl) = ETSo_0(ikl) |
---|
| 292 | ! #e1. +(TsisSV(ikl,isl)-TfSnow)*Exist0 |
---|
| 293 | ! #e1. /dtC_sv(ikl,isl) |
---|
| 294 | ! #e1 END DO |
---|
| 295 | ! #e1 END DO |
---|
| 296 | |
---|
| 297 | |
---|
| 298 | C +--Tridiagonal Elimination: Set Up |
---|
| 299 | C + =============================== |
---|
| 300 | |
---|
| 301 | C +--Soil/Snow Interior |
---|
| 302 | C + ^^^^^^^^^^^^^^^^^^ |
---|
| 303 | DO ikl=1,knonv |
---|
| 304 | DO isl=-nsol+1,min(nsno-1,isnoSV(ikl)+1) |
---|
| 305 | |
---|
| 306 | Elem_A = dtC_sv(ikl,isl) *mu__dz(ikl,isl) |
---|
| 307 | Elem_C = dtC_sv(ikl,isl) *mu__dz(ikl,isl+1) |
---|
| 308 | Diag_A(ikl,isl) = -Elem_A *Implic |
---|
| 309 | Diag_C(ikl,isl) = -Elem_C *Implic |
---|
| 310 | Diag_B(ikl,isl) = 1.0d+0 -Diag_A(ikl,isl)-Diag_C(ikl,isl) |
---|
| 311 | Term_D(ikl,isl) = Explic *(Elem_A *TsisSV(ikl,isl-1) |
---|
| 312 | . +Elem_C *TsisSV(ikl,isl+1)) |
---|
| 313 | . +(1.0d+0 -Explic *(Elem_A+Elem_C))*TsisSV(ikl,isl) |
---|
| 314 | . + dtC_sv(ikl,isl) * sol_SV(ikl) *SoSosv(ikl) |
---|
| 315 | . *(sEX_sv(ikl,isl+1) |
---|
| 316 | . -sEX_sv(ikl,isl )) |
---|
| 317 | END DO |
---|
| 318 | END DO |
---|
| 319 | |
---|
| 320 | C +--Soil lowest Layer |
---|
| 321 | C + ^^^^^^^^^^^^^^^^^^ |
---|
| 322 | isl= -nsol |
---|
| 323 | DO ikl=1,knonv |
---|
| 324 | Elem_A = 0. |
---|
| 325 | Elem_C = dtC_sv(ikl,isl) *mu__dz(ikl,isl+1) |
---|
| 326 | Diag_A(ikl,isl) = 0. |
---|
| 327 | Diag_C(ikl,isl) = -Elem_C *Implic |
---|
| 328 | Diag_B(ikl,isl) = 1.0d+0 -Diag_A(ikl,isl)-Diag_C(ikl,isl) |
---|
| 329 | Term_D(ikl,isl) = Explic * Elem_C *TsisSV(ikl,isl+1) |
---|
| 330 | . +(1.0d+0 -Explic * Elem_C) *TsisSV(ikl,isl) |
---|
| 331 | . + dtC_sv(ikl,isl) * sol_SV(ikl) *SoSosv(ikl) |
---|
| 332 | . *(sEX_sv(ikl,isl+1) |
---|
| 333 | . -sEX_sv(ikl,isl )) |
---|
| 334 | END DO |
---|
| 335 | |
---|
| 336 | C +--Snow highest Layer (dummy!) |
---|
| 337 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 338 | isl= min(isnoSV(1)+1,nsno) |
---|
| 339 | DO ikl=1,knonv |
---|
| 340 | Elem_A = dtC_sv(ikl,isl) *mu__dz(ikl,isl) |
---|
| 341 | Elem_C = 0. |
---|
| 342 | Diag_A(ikl,isl) = -Elem_A *Implic |
---|
| 343 | Diag_C(ikl,isl) = 0. |
---|
| 344 | Diag_B(ikl,isl) = 1.0d+0 -Diag_A(ikl,isl) |
---|
| 345 | Term_D(ikl,isl) = Explic * Elem_A *TsisSV(ikl,isl-1) |
---|
| 346 | . +(1.0d+0 -Explic * Elem_A) *TsisSV(ikl,isl) |
---|
| 347 | . + dtC_sv(ikl,isl) * (sol_SV(ikl) *SoSosv(ikl) |
---|
| 348 | . *(sEX_sv(ikl,isl+1) |
---|
| 349 | . -sEX_sv(ikl,isl ))) |
---|
| 350 | END DO |
---|
| 351 | |
---|
| 352 | C +--Surface: UPwardIR Heat Flux |
---|
| 353 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 354 | DO ikl=1,knonv |
---|
| 355 | isl = isnoSV(ikl) |
---|
| 356 | dIRsdT(ikl) = Eso_sv(ikl)* StefBo * 4. ! - d(IR)/d(T) |
---|
| 357 | . * TsisSV(ikl,isl) ! |
---|
| 358 | . * TsisSV(ikl,isl) ! |
---|
| 359 | . * TsisSV(ikl,isl) ! |
---|
| 360 | IRs__D(ikl) = dIRsdT(ikl)* TsisSV(ikl,isl) * 0.75 ! |
---|
| 361 | |
---|
| 362 | C +--Surface: Richardson Number: T Derivative |
---|
| 363 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 364 | c #RC dRidTs(ikl) =-gravit * za__SV(ikl) |
---|
| 365 | c #RC. /(TaT_SV(ikl) * VV__SV(ikl) |
---|
| 366 | c #RC. * VV__SV(ikl)) |
---|
| 367 | |
---|
| 368 | C +--Surface: Turbulent Heat Flux: Factors |
---|
| 369 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 370 | f_HSHL(ikl) = rhT_SV(ikl) / rah_sv(ikl) ! to HS, HL |
---|
| 371 | f___HL(ikl) = f_HSHL(ikl) * Lx_H2O(ikl) |
---|
| 372 | |
---|
| 373 | C +--Surface: Sensible Heat Flux: T Derivative |
---|
| 374 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 375 | dSdTSV(ikl) = f_HSHL(ikl) * Cp !#- d(HS)/d(T) |
---|
| 376 | c #RC. *(1.0 -(TsisSV(ikl,isl) -TaT_SV(ikl)) !#Richardson |
---|
| 377 | c #RC. * dRidTs(ikl)*dFh_sv(ikl)/rah_sv(ikl)) ! Nb. Correct. |
---|
| 378 | HS___D(ikl) = dSdTSV(ikl) * TaT_SV(ikl) ! |
---|
| 379 | |
---|
| 380 | C +--Surface: Latent Heat Flux: Saturation Specific Humidity |
---|
| 381 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 382 | c den_qs = TsisSV(ikl,isl)- 35.8 ! |
---|
| 383 | c arg_qs = 17.27 *(TsisSV(ikl,isl)-273.16) ! |
---|
| 384 | c . / den_qs ! |
---|
| 385 | c qsatsg(ikl) = .0038 * exp(arg_qs) ! |
---|
| 386 | |
---|
| 387 | ! sp = (pst_SV(ikl) + ptopSV) * 10. |
---|
| 388 | |
---|
| 389 | sp=ps__SV(ikl) |
---|
| 390 | psat_ice = 6.1070 * exp(6150. *(1./273.16 - |
---|
| 391 | . 1./TsisSV(ikl,isl))) |
---|
| 392 | |
---|
| 393 | psat_wat = 6.1078 * exp (5.138*log(273.16 /TsisSV(ikl,isl))) |
---|
| 394 | . * exp (6827.*(1. /273.16-1./TsisSV(ikl,isl))) |
---|
| 395 | |
---|
| 396 | if(TsisSV(ikl,isl)<=273.16) then |
---|
| 397 | qsatsg(ikl) = 0.622 * psat_ice / (sp - 0.378 * psat_ice) |
---|
| 398 | else |
---|
| 399 | qsatsg(ikl) = 0.622 * psat_wat / (sp - 0.378 * psat_wat) |
---|
| 400 | endif |
---|
| 401 | |
---|
| 402 | c dqs_dT(ikl) = qsatsg(ikl)* 4099.2 /(den_qs *den_qs)! |
---|
| 403 | fac_dt(ikl) = f_HSHL(ikl)/(ro_Wat * dz_dSV(0)) ! |
---|
| 404 | END DO |
---|
| 405 | |
---|
| 406 | C +--Surface: Latent Heat Flux: Surface Relative Humidity |
---|
| 407 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 408 | xgpsrf = 1.05 ! |
---|
| 409 | agpsrf = dt__SV*( 1.0-xgpsrf ) ! |
---|
| 410 | . /( 1.0-xgpsrf**nt_srf) ! |
---|
| 411 | dt_srf = agpsrf ! |
---|
| 412 | dt_ver = 0. ! |
---|
| 413 | DO ikl=1,knonv |
---|
| 414 | isl = isnoSV(ikl) ! |
---|
| 415 | etaBAK(ikl) = max(epsi,eta_SV(ikl ,isl)) ! |
---|
| 416 | etaNEW(ikl) = etaBAK(ikl) ! |
---|
| 417 | etEuBk(ikl) = etaNEW(ikl) ! |
---|
| 418 | END DO ! |
---|
| 419 | DO it_srf=1,nt_srf ! |
---|
| 420 | dt_ver = dt_ver +dt_srf ! |
---|
| 421 | DO ikl=1,knonv ! |
---|
| 422 | faceta(ikl) = fac_dt(ikl)*dt_srf ! |
---|
| 423 | c #VX faceta(ikl) = faceta(ikl) ! |
---|
| 424 | c #VX. /(1.+faceta(ikl)*dQa_SV(ikl)) ! Limitation |
---|
| 425 | ! by Atm.Conten |
---|
| 426 | c #??. *max(0,sign(1.,qsatsg(ikl)-QaT_SV(ikl)))) ! NO Limitation |
---|
| 427 | ! of Downw.Flux |
---|
| 428 | END DO ! |
---|
| 429 | DO itEuBk=1,2 ! |
---|
| 430 | DO ikl=1,knonv |
---|
| 431 | ist = max(0,isotSV(ikl)-100*isnoSV(ikl)) ! 0 if H2O |
---|
| 432 | ! |
---|
| 433 | Psi(ikl) = ! |
---|
| 434 | . psidSV(ist) ! DR97, Eqn 3.34 |
---|
| 435 | . *(etadSV(ist) ! |
---|
| 436 | . /max(etEuBk(ikl),epsi)) ! |
---|
| 437 | . **bCHdSV(ist) ! |
---|
| 438 | PsiArg(ikl) = 7.2E-5*Psi(ikl) ! |
---|
| 439 | RHuSol(ikl) = exp(-min(0.,PsiArg(ikl))) ! |
---|
| 440 | SHuSol(ikl) = qsatsg(ikl) *RHuSol(ikl) ! DR97, Eqn 3.15 |
---|
| 441 | etEuBk(ikl) = ! |
---|
| 442 | . (etaNEW(ikl) + faceta(ikl)*(QaT_SV(ikl) ! |
---|
| 443 | . -SHuSol(ikl) ! |
---|
| 444 | . *(1. -bCHdSV(ist) ! |
---|
| 445 | . *PsiArg(ikl)) )) ! |
---|
| 446 | . /(1. + faceta(ikl)* SHuSol(ikl) ! |
---|
| 447 | . *bCHdSV(ist) ! |
---|
| 448 | . *PsiArg(ikl) ! |
---|
| 449 | . /etaNEW(ikl)) ! |
---|
| 450 | etEuBk(ikl) = etEuBk(ikl) ! |
---|
| 451 | c . /(Ro_Wat*dz_dSV(0)) ! |
---|
| 452 | . * dt_srf /(Ro_Wat*dz_dSV(0)) ! |
---|
| 453 | cXF 15/05/2017 BUG |
---|
| 454 | END DO ! |
---|
| 455 | END DO ! |
---|
| 456 | DO ikl=1,knonv ! |
---|
| 457 | etaNEW(ikl) = max(etEuBk(ikl),epsi) ! |
---|
| 458 | END DO ! |
---|
| 459 | dt_srf = dt_srf * xgpsrf ! |
---|
| 460 | END DO ! |
---|
| 461 | |
---|
| 462 | C +--Surface: Latent Heat Flux: Soil/Water Surface Contributions |
---|
| 463 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 464 | DO ikl=1,knonv ! |
---|
| 465 | isl = isnoSV(ikl) ! |
---|
| 466 | ist = max(0,isotSV(ikl)-100*isnoSV(ikl)) ! 0 if H2O |
---|
| 467 | ist__s= min(1,ist) ! 1 if no H2O |
---|
| 468 | ist__w= 1-ist__s ! 1 if H2O |
---|
| 469 | d__eta = eta_SV(ikl,isl)-etaNEW(ikl) ! |
---|
| 470 | ! latent heat flux computation |
---|
| 471 | HL___D(ikl)=( ist__s *ro_Wat *dz_dSV(0) ! Soil Contrib. |
---|
| 472 | . *(etaNEW(ikl) -etaBAK(ikl)) / dt__SV ! |
---|
| 473 | . +ist__w *f_HSHL(ikl) ! H2O Contrib. |
---|
| 474 | . *(QaT_SV(ikl) - qsatsg(ikl)) ) ! |
---|
| 475 | . * Lx_H2O(ikl) ! common factor |
---|
| 476 | |
---|
| 477 | c #DL RHuSol(ikl) =(QaT_SV(ikl) ! |
---|
| 478 | c #DL. -HL___D(ikl) / f___HL(ikl)) ! |
---|
| 479 | c #DL. / qsatsg(ikl) ! |
---|
| 480 | |
---|
| 481 | C +--Surface: Latent Heat Flux: T Derivative |
---|
| 482 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 483 | dLdTSV(ikl) = 0. |
---|
| 484 | c #DL dLdTSV(ikl) = f___HL(ikl) * RHuSol(ikl) *dqs_dT(ikl) ! - d(HL)/d(T) |
---|
| 485 | c #DL HL___D(ikl) = HL___D(ikl) ! |
---|
| 486 | c #DL. +dLdTSV(ikl) * TsisSV(ikl,isl) ! |
---|
| 487 | END DO ! |
---|
| 488 | |
---|
| 489 | C +--Surface: Tridiagonal Matrix Set Up |
---|
| 490 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 491 | DO ikl=1,knonv |
---|
| 492 | isl = isnoSV(ikl) |
---|
| 493 | TSurf0(ikl) = TsisSV(ikl,isl) |
---|
| 494 | |
---|
| 495 | Elem_A = dtC_sv(ikl,isl)*mu__dz(ikl,isl) |
---|
| 496 | Elem_C = 0. |
---|
| 497 | Diag_A(ikl,isl) = -Elem_A *Implic |
---|
| 498 | Diag_C(ikl,isl) = 0. |
---|
| 499 | Diag_B(ikl,isl) = 1.0d+0 -Diag_A(ikl,isl) |
---|
| 500 | Diag_B(ikl,isl) = Diag_B(ikl,isl) |
---|
| 501 | . + dtC_sv(ikl,isl) * (dIRsdT(ikl) ! Upw. Sol IR |
---|
| 502 | . +dSdTSV(ikl) ! HS/Surf.Contr. |
---|
| 503 | . +dLdTSV(ikl)) ! HL/Surf.Contr. |
---|
| 504 | |
---|
| 505 | Term_D(ikl,isl) = Explic *Elem_A *TsisSV(ikl,isl-1) |
---|
| 506 | . +(1.0d+0 -Explic *Elem_A)*TsisSV(ikl,isl) |
---|
| 507 | |
---|
| 508 | |
---|
| 509 | |
---|
| 510 | Term_D(ikl,isl) = Term_D(ikl,isl) |
---|
| 511 | . + dtC_sv(ikl,isl) * (sol_SV(ikl) *SoSosv(ikl) ! Absorbed |
---|
| 512 | . *(sEX_sv(ikl,isl+1) ! Solar |
---|
| 513 | . -sEX_sv(ikl,isl ))! |
---|
| 514 | . + IRd_SV(ikl)*Eso_sv(ikl) ! Down Atm IR |
---|
| 515 | . +IRs__D(ikl) ! Upw. Sol IR |
---|
| 516 | . +HS___D(ikl) ! HS/Atmo.Contr. |
---|
| 517 | . +HL___D(ikl) )! HL/Atmo.Contr. |
---|
| 518 | |
---|
| 519 | END DO |
---|
| 520 | |
---|
| 521 | |
---|
| 522 | C +--Tridiagonal Elimination |
---|
| 523 | C + ======================= |
---|
| 524 | |
---|
| 525 | C +--Forward Sweep |
---|
| 526 | C + ^^^^^^^^^^^^^^ |
---|
| 527 | DO ikl= 1,knonv |
---|
| 528 | Aux__P(ikl,-nsol) = Diag_B(ikl,-nsol) |
---|
| 529 | Aux__Q(ikl,-nsol) =-Diag_C(ikl,-nsol)/Aux__P(ikl,-nsol) |
---|
| 530 | END DO |
---|
| 531 | |
---|
| 532 | DO ikl= 1,knonv |
---|
| 533 | |
---|
| 534 | DO isl=-nsol+1,min(nsno,isnoSV(ikl)+1) |
---|
| 535 | Aux__P(ikl,isl) = Diag_A(ikl,isl) *Aux__Q(ikl,isl-1) |
---|
| 536 | . +Diag_B(ikl,isl) |
---|
| 537 | Aux__Q(ikl,isl) =-Diag_C(ikl,isl) /Aux__P(ikl,isl) |
---|
| 538 | END DO |
---|
| 539 | END DO |
---|
| 540 | |
---|
| 541 | DO ikl= 1,knonv |
---|
| 542 | TsisSV(ikl,-nsol) = Term_D(ikl,-nsol)/Aux__P(ikl,-nsol) |
---|
| 543 | END DO |
---|
| 544 | |
---|
| 545 | DO ikl= 1,knonv |
---|
| 546 | DO isl=-nsol+1,min(nsno,isnoSV(ikl)+1) |
---|
| 547 | TsisSV(ikl,isl) =(Term_D(ikl,isl) |
---|
| 548 | . -Diag_A(ikl,isl) *TsisSV(ikl,isl-1)) |
---|
| 549 | . /Aux__P(ikl,isl) |
---|
| 550 | |
---|
| 551 | |
---|
| 552 | END DO |
---|
| 553 | END DO |
---|
| 554 | |
---|
| 555 | C +--Backward Sweep |
---|
| 556 | C + ^^^^^^^^^^^^^^ |
---|
| 557 | DO ikl= 1,knonv |
---|
| 558 | DO isl=min(nsno-1,isnoSV(ikl)+1),-nsol,-1 |
---|
| 559 | |
---|
| 560 | |
---|
| 561 | TsisSV(ikl,isl) = Aux__Q(ikl,isl) *TsisSV(ikl,isl+1) |
---|
| 562 | . +TsisSV(ikl,isl) |
---|
| 563 | if(isl==0.and.isnoSV(ikl)==0) then |
---|
| 564 | |
---|
| 565 | TsisSV(ikl,isl) = min(TaT_SV(ikl)+30,TsisSV(ikl,isl)) |
---|
| 566 | TsisSV(ikl,isl) = max(TaT_SV(ikl)-30,TsisSV(ikl,isl)) |
---|
| 567 | |
---|
| 568 | |
---|
| 569 | c #EU TsisSV(ikl,isl) = max(TaT_SV(ikl)-15.,TsisSV(ikl,isl)) |
---|
| 570 | |
---|
| 571 | !XF 18/11/2018 to avoid ST reaching 70�C!! |
---|
| 572 | !It is an error compensation but does not work over tundra |
---|
| 573 | |
---|
| 574 | endif |
---|
| 575 | |
---|
| 576 | |
---|
| 577 | |
---|
| 578 | END DO |
---|
| 579 | |
---|
| 580 | END DO |
---|
| 581 | |
---|
| 582 | C +--Temperature Limits (avoids problems in case of no Snow Layers) |
---|
| 583 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 584 | DO ikl= 1,knonv |
---|
| 585 | isl = isnoSV(ikl) |
---|
| 586 | dTSurf = TsisSV(ikl,isl) - TSurf0(ikl) |
---|
| 587 | TsisSV(ikl,isl) = TSurf0(ikl) + sign(1.,dTSurf) ! 180.0 dgC/hr |
---|
| 588 | . * min(abs(dTSurf),5.e-2*dt__SV) ! =0.05 dgC/s |
---|
| 589 | |
---|
| 590 | |
---|
| 591 | |
---|
| 592 | END DO |
---|
| 593 | |
---|
| 594 | DO ikl= 1,knonv |
---|
| 595 | DO isl=min(nsno,isnoSV(ikl)+1),1 ,-1 |
---|
| 596 | TsisSV(ikl,isl) = max(Ts_Min, TsisSV(ikl,isl)) |
---|
| 597 | TsisSV(ikl,isl) = min(Ts_Max, TsisSV(ikl,isl)) |
---|
| 598 | END DO |
---|
| 599 | |
---|
| 600 | END DO |
---|
| 601 | |
---|
| 602 | C +--Update Surface Fluxes |
---|
| 603 | C + ======================== |
---|
| 604 | |
---|
| 605 | DO ikl= 1,knonv |
---|
| 606 | isl = isnoSV(ikl) |
---|
| 607 | IRs_SV(ikl) = IRs__D(ikl) ! |
---|
| 608 | . - dIRsdT(ikl) * TsisSV(ikl,isl) ! |
---|
| 609 | HSs_sv(ikl) = HS___D(ikl) ! Sensible Heat |
---|
| 610 | . - dSdTSV(ikl) * TsisSV(ikl,isl) ! Downward > 0 |
---|
| 611 | HLs_sv(ikl) = HL___D(ikl) ! Latent Heat |
---|
| 612 | . - dLdTSV(ikl) * TsisSV(ikl,isl) ! Downward > 0 |
---|
| 613 | END DO |
---|
| 614 | |
---|
| 615 | |
---|
| 616 | |
---|
| 617 | return |
---|
| 618 | end |
---|