| 1 |
SUBROUTINE HBTM(knon, paprs, pplay, |
| 2 |
. t2m,t10m,q2m,q10m,ustar, |
| 3 |
. flux_t,flux_q,u,v,t,q, |
| 4 |
. pblh,cape,EauLiq,ctei,pblT, |
| 5 |
. therm,trmb1,trmb2,trmb3,plcl) |
| 6 |
use dimens_m |
| 7 |
use dimphy |
| 8 |
use YOMCST |
| 9 |
use yoethf |
| 10 |
use fcttre |
| 11 |
IMPLICIT none |
| 12 |
|
| 13 |
c*************************************************************** |
| 14 |
c* * |
| 15 |
c* HBTM2 D'apres Holstag&Boville et Troen&Mahrt * |
| 16 |
c* JAS 47 BLM * |
| 17 |
c* Algorithme These Anne Mathieu * |
| 18 |
c* Critere d'Entrainement Peter Duynkerke (JAS 50) * |
| 19 |
c* written by : Anne MATHIEU & Alain LAHELLEC, 22/11/99 * |
| 20 |
c* features : implem. exces Mathieu * |
| 21 |
c*************************************************************** |
| 22 |
c* mods : decembre 99 passage th a niveau plus bas. voir fixer * |
| 23 |
c* la prise du th a z/Lambda = -.2 (max Ray) * |
| 24 |
c* Autre algo : entrainement ~ Theta+v =cste mais comment=>The?* |
| 25 |
c* on peut fixer q a .7qsat(cf non adiab)=>T2 et The2 * |
| 26 |
c* voir aussi //KE pblh = niveau The_e ou l = env. * |
| 27 |
c*************************************************************** |
| 28 |
c* fin therm a la HBTM passage a forme Mathieu 12/09/2001 * |
| 29 |
c*************************************************************** |
| 30 |
c* |
| 31 |
c |
| 32 |
c |
| 33 |
cAM Fev 2003 |
| 34 |
c Adaptation a LMDZ version couplee |
| 35 |
c |
| 36 |
c Pour le moment on fait passer en argument les grdeurs de surface : |
| 37 |
c flux, t,q2m, t,q10m, on va utiliser systematiquement les grdeurs a 2m ms |
| 38 |
c on garde la possibilite de changer si besoin est (jusqu'a present la |
| 39 |
c forme de HB avec le 1er niveau modele etait conservee) |
| 40 |
c |
| 41 |
c |
| 42 |
c |
| 43 |
c |
| 44 |
c |
| 45 |
REAL RLvCp, REPS |
| 46 |
c Arguments: |
| 47 |
c |
| 48 |
INTEGER knon ! nombre de points a calculer |
| 49 |
cAM |
| 50 |
REAL t2m(klon), t10m(klon) ! temperature a 2 et 10m |
| 51 |
REAL q2m(klon), q10m(klon) ! q a 2 et 10m |
| 52 |
REAL ustar(klon) |
| 53 |
REAL paprs(klon,klev+1) ! pression a inter-couche (Pa) |
| 54 |
REAL pplay(klon,klev) ! pression au milieu de couche (Pa) |
| 55 |
REAL flux_t(klon,klev), flux_q(klon,klev) ! Flux |
| 56 |
REAL u(klon,klev) ! vitesse U (m/s) |
| 57 |
REAL v(klon,klev) ! vitesse V (m/s) |
| 58 |
REAL t(klon,klev) ! temperature (K) |
| 59 |
REAL q(klon,klev) ! vapeur d'eau (kg/kg) |
| 60 |
cAM REAL cd_h(klon) ! coefficient de friction au sol pour chaleur |
| 61 |
cAM REAL cd_m(klon) ! coefficient de friction au sol pour vitesse |
| 62 |
c |
| 63 |
INTEGER isommet |
| 64 |
PARAMETER (isommet=klev) ! limite max sommet pbl |
| 65 |
REAL vk |
| 66 |
PARAMETER (vk=0.35) ! Von Karman => passer a .41 ! cf U.Olgstrom |
| 67 |
REAL ricr |
| 68 |
PARAMETER (ricr=0.4) |
| 69 |
REAL fak |
| 70 |
PARAMETER (fak=8.5) ! b calcul du Prandtl et de dTetas |
| 71 |
REAL fakn |
| 72 |
PARAMETER (fakn=7.2) ! a |
| 73 |
REAL onet |
| 74 |
PARAMETER (onet=1.0/3.0) |
| 75 |
REAL t_coup |
| 76 |
PARAMETER(t_coup=273.15) |
| 77 |
REAL zkmin |
| 78 |
PARAMETER (zkmin=0.01) |
| 79 |
REAL betam |
| 80 |
PARAMETER (betam=15.0) ! pour Phim / h dans la S.L stable |
| 81 |
REAL betah |
| 82 |
PARAMETER (betah=15.0) |
| 83 |
REAL betas |
| 84 |
PARAMETER (betas=5.0) ! Phit dans la S.L. stable (mais 2 formes / z/OBL<>1 |
| 85 |
REAL sffrac |
| 86 |
PARAMETER (sffrac=0.1) ! S.L. = z/h < .1 |
| 87 |
REAL binm |
| 88 |
PARAMETER (binm=betam*sffrac) |
| 89 |
REAL binh |
| 90 |
PARAMETER (binh=betah*sffrac) |
| 91 |
REAL ccon |
| 92 |
PARAMETER (ccon=fak*sffrac*vk) |
| 93 |
c |
| 94 |
REAL q_star,t_star |
| 95 |
REAL b1,b2,b212,b2sr ! Lambert correlations T' q' avec T* q* |
| 96 |
PARAMETER (b1=70.,b2=20.) |
| 97 |
c |
| 98 |
REAL z(klon,klev) |
| 99 |
cAM REAL pcfm(klon,klev), pcfh(klon,klev) |
| 100 |
cAM |
| 101 |
REAL zref |
| 102 |
PARAMETER (zref=2.) ! Niveau de ref a 2m peut eventuellement |
| 103 |
c etre choisi a 10m |
| 104 |
cMA |
| 105 |
c |
| 106 |
INTEGER i, k, j |
| 107 |
REAL zxt |
| 108 |
cAM REAL zxt, zxq, zxu, zxv, zxmod, taux, tauy |
| 109 |
cAM REAL zx_alf1, zx_alf2 ! parametres pour extrapolation |
| 110 |
REAL khfs(klon) ! surface kinematic heat flux [mK/s] |
| 111 |
REAL kqfs(klon) ! sfc kinematic constituent flux [m/s] |
| 112 |
REAL heatv(klon) ! surface virtual heat flux |
| 113 |
REAL rhino(klon,klev) ! bulk Richardon no. mais en Theta_v |
| 114 |
LOGICAL unstbl(klon) ! pts w/unstbl pbl (positive virtual ht flx) |
| 115 |
LOGICAL stblev(klon) ! stable pbl with levels within pbl |
| 116 |
LOGICAL unslev(klon) ! unstbl pbl with levels within pbl |
| 117 |
LOGICAL unssrf(klon) ! unstb pbl w/lvls within srf pbl lyr |
| 118 |
LOGICAL unsout(klon) ! unstb pbl w/lvls in outer pbl lyr |
| 119 |
LOGICAL check(klon) ! True=>chk if Richardson no.>critcal |
| 120 |
LOGICAL omegafl(klon) ! flag de prolongerment cape pour pt Omega |
| 121 |
REAL pblh(klon) |
| 122 |
REAL pblT(klon) |
| 123 |
REAL plcl(klon) |
| 124 |
cAM REAL cgh(klon,2:klev) ! counter-gradient term for heat [K/m] |
| 125 |
cAM REAL cgq(klon,2:klev) ! counter-gradient term for constituents |
| 126 |
cAM REAL cgs(klon,2:klev) ! counter-gradient star (cg/flux) |
| 127 |
REAL obklen(klon) ! Monin-Obukhov lengh |
| 128 |
cAM REAL ztvd, ztvu, |
| 129 |
REAL zdu2 |
| 130 |
REAL therm(klon) ! thermal virtual temperature excess |
| 131 |
REAL trmb1(klon),trmb2(klon),trmb3(klon) |
| 132 |
C Algorithme thermique |
| 133 |
REAL s(klon,klev) ! [P/Po]^Kappa milieux couches |
| 134 |
REAL Th_th(klon) ! potential temperature of thermal |
| 135 |
REAL The_th(klon) ! equivalent potential temperature of thermal |
| 136 |
REAL qT_th(klon) ! total water of thermal |
| 137 |
REAL Tbef(klon) ! T thermique niveau precedent |
| 138 |
REAL qsatbef(klon) |
| 139 |
LOGICAL Zsat(klon) ! le thermique est sature |
| 140 |
REAL Cape(klon) ! Cape du thermique |
| 141 |
REAL Kape(klon) ! Cape locale |
| 142 |
REAL EauLiq(klon) ! Eau liqu integr du thermique |
| 143 |
REAL ctei(klon) ! Critere d'instab d'entrainmt des nuages de CL |
| 144 |
REAL the1,the2,aa,bb,zthvd,zthvu,xintpos,qqsat |
| 145 |
cIM 091204 BEG |
| 146 |
REAL a1,a2,a3 |
| 147 |
cIM 091204 END |
| 148 |
REAL xhis,rnum,denom,th1,th2,thv1,thv2,ql2 |
| 149 |
REAL dqsat_dt,qsat2,qT1,q2,t1,t2,xnull,delt_the |
| 150 |
REAL delt_qt,delt_2,quadsat,spblh,reduc |
| 151 |
c |
| 152 |
REAL phiminv(klon) ! inverse phi function for momentum |
| 153 |
REAL phihinv(klon) ! inverse phi function for heat |
| 154 |
REAL wm(klon) ! turbulent velocity scale for momentum |
| 155 |
REAL fak1(klon) ! k*ustar*pblh |
| 156 |
REAL fak2(klon) ! k*wm*pblh |
| 157 |
REAL fak3(klon) ! fakn*wstr/wm |
| 158 |
REAL pblk(klon) ! level eddy diffusivity for momentum |
| 159 |
REAL pr(klon) ! Prandtl number for eddy diffusivities |
| 160 |
REAL zl(klon) ! zmzp / Obukhov length |
| 161 |
REAL zh(klon) ! zmzp / pblh |
| 162 |
REAL zzh(klon) ! (1-(zmzp/pblh))**2 |
| 163 |
REAL wstr(klon) ! w*, convective velocity scale |
| 164 |
REAL zm(klon) ! current level height |
| 165 |
REAL zp(klon) ! current level height + one level up |
| 166 |
REAL zcor, zdelta, zcvm5 |
| 167 |
cAM REAL zxqs |
| 168 |
REAL fac, pblmin, zmzp, term |
| 169 |
c |
| 170 |
|
| 171 |
|
| 172 |
|
| 173 |
! initialisations (Anne) |
| 174 |
th_th(:) = 0. |
| 175 |
q_star = 0 |
| 176 |
t_star = 0 |
| 177 |
|
| 178 |
|
| 179 |
b212=sqrt(b1*b2) |
| 180 |
b2sr=sqrt(b2) |
| 181 |
c |
| 182 |
C ============================================================ |
| 183 |
C Fonctions thermo implicites |
| 184 |
C ============================================================ |
| 185 |
c +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 186 |
c Tetens : pression partielle de vap d'eau e_sat(T) |
| 187 |
c ================================================= |
| 188 |
C++ e_sat(T) = r2*exp( r3*(T-Tf)/(T-r4) ) id a r2*FOEWE |
| 189 |
C++ avec : |
| 190 |
C++ Tf = 273.16 K (Temp de fusion de la glace) |
| 191 |
C++ r2 = 611.14 Pa |
| 192 |
C++ r3 = 17.269 (liquide) 21.875 (solide) adim |
| 193 |
C++ r4 = 35.86 7.66 Kelvin |
| 194 |
C++ q_sat = eps*e_sat/(p-(1-eps)*e_sat) |
| 195 |
C++ derivée : |
| 196 |
C++ ========= |
| 197 |
C++ r3*(Tf-r4)*q_sat(T,p) |
| 198 |
C++ d_qsat_dT = -------------------------------- |
| 199 |
C++ (T-r4)^2*( 1-(1-eps)*e_sat(T)/p ) |
| 200 |
c++ pour zcvm5=Lv, c'est FOEDE |
| 201 |
c++ Rq :(1.-REPS)*esarg/Parg id a RETV*Qsat |
| 202 |
C ------------------------------------------------------------------ |
| 203 |
c |
| 204 |
c Initialisation |
| 205 |
RLvCp = RLVTT/RCPD |
| 206 |
REPS = RD/RV |
| 207 |
|
| 208 |
c |
| 209 |
c DO i = 1, klon |
| 210 |
c pcfh(i,1) = cd_h(i) |
| 211 |
c pcfm(i,1) = cd_m(i) |
| 212 |
c ENDDO |
| 213 |
c DO k = 2, klev |
| 214 |
c DO i = 1, klon |
| 215 |
c pcfh(i,k) = zkmin |
| 216 |
c pcfm(i,k) = zkmin |
| 217 |
c cgs(i,k) = 0.0 |
| 218 |
c cgh(i,k) = 0.0 |
| 219 |
c cgq(i,k) = 0.0 |
| 220 |
c ENDDO |
| 221 |
c ENDDO |
| 222 |
c |
| 223 |
c Calculer les hauteurs de chaque couche |
| 224 |
c (geopotentielle Int_dp/ro = Int_[Rd.T.dp/p] z = geop/g) |
| 225 |
c pourquoi ne pas utiliser Phi/RG ? |
| 226 |
DO i = 1, knon |
| 227 |
z(i,1) = RD * t(i,1) / (0.5*(paprs(i,1)+pplay(i,1))) |
| 228 |
. * (paprs(i,1)-pplay(i,1)) / RG |
| 229 |
s(i,1) = (pplay(i,1)/paprs(i,1))**RKappa |
| 230 |
ENDDO |
| 231 |
c s(k) = [pplay(k)/ps]^kappa |
| 232 |
c + + + + + + + + + pplay <-> s(k) t dp=pplay(k-1)-pplay(k) |
| 233 |
c |
| 234 |
c ----------------- paprs <-> sig(k) |
| 235 |
c |
| 236 |
c + + + + + + + + + pplay <-> s(k-1) |
| 237 |
c |
| 238 |
c |
| 239 |
c + + + + + + + + + pplay <-> s(1) t dp=paprs-pplay z(1) |
| 240 |
c |
| 241 |
c ----------------- paprs <-> sig(1) |
| 242 |
c |
| 243 |
DO k = 2, klev |
| 244 |
DO i = 1, knon |
| 245 |
z(i,k) = z(i,k-1) |
| 246 |
. + RD * 0.5*(t(i,k-1)+t(i,k)) / paprs(i,k) |
| 247 |
. * (pplay(i,k-1)-pplay(i,k)) / RG |
| 248 |
s(i,k) = (pplay(i,k)/paprs(i,1))**RKappa |
| 249 |
ENDDO |
| 250 |
ENDDO |
| 251 |
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 252 |
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 253 |
c +++ Determination des grandeurs de surface +++++++++++++++++++++ |
| 254 |
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 255 |
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 256 |
DO i = 1, knon |
| 257 |
cAM IF (thermcep) THEN |
| 258 |
cAM zdelta=MAX(0.,SIGN(1.,RTT-tsol(i))) |
| 259 |
c zcvm5 = R5LES*RLVTT*(1.-zdelta) + R5IES*RLSTT*zdelta |
| 260 |
c zcvm5 = zcvm5 / RCPD / (1.0+RVTMP2*q(i,1)) |
| 261 |
cAM zxqs= r2es * FOEEW(tsol(i),zdelta)/paprs(i,1) |
| 262 |
cAM zxqs=MIN(0.5,zxqs) |
| 263 |
cAM zcor=1./(1.-retv*zxqs) |
| 264 |
cAM zxqs=zxqs*zcor |
| 265 |
cAM ELSE |
| 266 |
cAM IF (tsol(i).LT.t_coup) THEN |
| 267 |
cAM zxqs = qsats(tsol(i)) / paprs(i,1) |
| 268 |
cAM ELSE |
| 269 |
cAM zxqs = qsatl(tsol(i)) / paprs(i,1) |
| 270 |
cAM ENDIF |
| 271 |
cAM ENDIF |
| 272 |
c niveau de reference bulk; mais ici, c,a pourrait etre le niveau de ref du thermique |
| 273 |
cAM zx_alf1 = 1.0 |
| 274 |
cAM zx_alf2 = 1.0 - zx_alf1 |
| 275 |
cAM zxt = (t(i,1)+z(i,1)*RG/RCPD/(1.+RVTMP2*q(i,1))) |
| 276 |
cAM . *(1.+RETV*q(i,1))*zx_alf1 |
| 277 |
cAM . + (t(i,2)+z(i,2)*RG/RCPD/(1.+RVTMP2*q(i,2))) |
| 278 |
cAM . *(1.+RETV*q(i,2))*zx_alf2 |
| 279 |
cAM zxu = u(i,1)*zx_alf1+u(i,2)*zx_alf2 |
| 280 |
cAM zxv = v(i,1)*zx_alf1+v(i,2)*zx_alf2 |
| 281 |
cAM zxq = q(i,1)*zx_alf1+q(i,2)*zx_alf2 |
| 282 |
cAM |
| 283 |
cAMAM zxu = u10m(i) |
| 284 |
cAMAM zxv = v10m(i) |
| 285 |
cAMAM zxmod = 1.0+SQRT(zxu**2+zxv**2) |
| 286 |
cAM Niveau de ref choisi a 2m |
| 287 |
zxt = t2m(i) |
| 288 |
|
| 289 |
c *************************************************** |
| 290 |
c attention, il doit s'agir de <w'theta'> |
| 291 |
c ;Calcul de tcls virtuel et de w'theta'virtuel |
| 292 |
c ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
| 293 |
c tcls=tcls*(1+.608*qcls) |
| 294 |
c |
| 295 |
c ;Pour avoir w'theta', |
| 296 |
c ; il faut diviser par ro.Cp |
| 297 |
c Cp=Cpd*(1+0.84*qcls) |
| 298 |
c fcs=fcs/(ro_surf*Cp) |
| 299 |
c ;On transforme w'theta' en w'thetav' |
| 300 |
c Lv=(2.501-0.00237*(tcls-273.15))*1.E6 |
| 301 |
c xle=xle/(ro_surf*Lv) |
| 302 |
c fcsv=fcs+.608*xle*tcls |
| 303 |
c *************************************************** |
| 304 |
cAM khfs(i) = (tsol(i)*(1.+RETV*q(i,1))-zxt) *zxmod*cd_h(i) |
| 305 |
cAM kqfs(i) = (zxqs-zxq) *zxmod*cd_h(i) * beta(i) |
| 306 |
cAM |
| 307 |
cdif khfs est deja w't'_v / heatv(i) = khfs(i) + RETV*zxt*kqfs(i) |
| 308 |
cAM calcule de Ro = paprs(i,1)/Rd zxt |
| 309 |
cAM convention >0 vers le bas ds lmdz |
| 310 |
khfs(i) = - flux_t(i,1)*zxt*Rd / (RCPD*paprs(i,1)) |
| 311 |
kqfs(i) = - flux_q(i,1)*zxt*Rd / (paprs(i,1)) |
| 312 |
cAM verifier que khfs et kqfs sont bien de la forme w'l' |
| 313 |
heatv(i) = khfs(i) + 0.608*zxt*kqfs(i) |
| 314 |
c a comparer aussi aux sorties de clqh : flux_T/RoCp et flux_q/RoLv |
| 315 |
cAM heatv(i) = khfs(i) |
| 316 |
cAM ustar est en entree |
| 317 |
cAM taux = zxu *zxmod*cd_m(i) |
| 318 |
cAM tauy = zxv *zxmod*cd_m(i) |
| 319 |
cAM ustar(i) = SQRT(taux**2+tauy**2) |
| 320 |
cAM ustar(i) = MAX(SQRT(ustar(i)),0.01) |
| 321 |
c Theta et qT du thermique sans exces (interpolin vers surf) |
| 322 |
c chgt de niveau du thermique (jeudi 30/12/1999) |
| 323 |
c (interpolation lineaire avant integration phi_h) |
| 324 |
cAM qT_th(i) = zxqs*beta(i) + 4./z(i,1)*(q(i,1)-zxqs*beta(i)) |
| 325 |
cAM qT_th(i) = max(qT_th(i),q(i,1)) |
| 326 |
qT_th(i) = q2m(i) |
| 327 |
cn The_th restera la Theta du thermique sans exces jusqu'a 2eme calcul |
| 328 |
cn reste a regler convention P) pour Theta |
| 329 |
c The_th(i) = tsol(i) + 4./z(i,1)*(t(i,1)-tsol(i)) |
| 330 |
c - + RLvCp*qT_th(i) |
| 331 |
cAM Th_th(i) = tsol(i) + 4./z(i,1)*(t(i,1)-tsol(i)) |
| 332 |
Th_th(i) = t2m(i) |
| 333 |
ENDDO |
| 334 |
c |
| 335 |
DO i = 1, knon |
| 336 |
rhino(i,1) = 0.0 ! Global Richardson |
| 337 |
check(i) = .TRUE. |
| 338 |
pblh(i) = z(i,1) ! on initialise pblh a l'altitude du 1er niveau |
| 339 |
plcl(i) = 6000. |
| 340 |
c Lambda = -u*^3 / (alpha.g.kvon.<w'Theta'v> |
| 341 |
obklen(i) = -t(i,1)*ustar(i)**3/(RG*vk*heatv(i)) |
| 342 |
trmb1(i) = 0. |
| 343 |
trmb2(i) = 0. |
| 344 |
trmb3(i) = 0. |
| 345 |
ENDDO |
| 346 |
|
| 347 |
C |
| 348 |
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 349 |
C PBL height calculation: |
| 350 |
C Search for level of pbl. Scan upward until the Richardson number between |
| 351 |
C the first level and the current level exceeds the "critical" value. |
| 352 |
C (bonne idee Nu de separer le Ric et l'exces de temp du thermique) |
| 353 |
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 354 |
fac = 100.0 |
| 355 |
DO k = 2, isommet |
| 356 |
DO i = 1, knon |
| 357 |
IF (check(i)) THEN |
| 358 |
! pourquoi / niveau 1 (au lieu du sol) et le terme en u*^2 ? |
| 359 |
ctest zdu2 = (u(i,k)-u(i,1))**2+(v(i,k)-v(i,1))**2+fac*ustar(i)**2 |
| 360 |
zdu2 = u(i,k)**2+v(i,k)**2 |
| 361 |
zdu2 = max(zdu2,1.0e-20) |
| 362 |
c Theta_v environnement |
| 363 |
zthvd=t(i,k)/s(i,k)*(1.+RETV*q(i,k)) |
| 364 |
c |
| 365 |
c therm Theta_v sans exces (avec hypothese fausse de H&B, sinon, |
| 366 |
c passer par Theta_e et virpot) |
| 367 |
c zthvu=t(i,1)/s(i,1)*(1.+RETV*q(i,1)) |
| 368 |
cAM zthvu = Th_th(i)*(1.+RETV*q(i,1)) |
| 369 |
zthvu = Th_th(i)*(1.+RETV*qT_th(i)) |
| 370 |
c Le Ri par Theta_v |
| 371 |
cAM rhino(i,k) = (z(i,k)-z(i,1))*RG*(zthvd-zthvu) |
| 372 |
cAM . /(zdu2*0.5*(zthvd+zthvu)) |
| 373 |
cAM On a nveau de ref a 2m ??? |
| 374 |
rhino(i,k) = (z(i,k)-zref)*RG*(zthvd-zthvu) |
| 375 |
. /(zdu2*0.5*(zthvd+zthvu)) |
| 376 |
c |
| 377 |
IF (rhino(i,k).GE.ricr) THEN |
| 378 |
pblh(i) = z(i,k-1) + (z(i,k-1)-z(i,k)) * |
| 379 |
. (ricr-rhino(i,k-1))/(rhino(i,k-1)-rhino(i,k)) |
| 380 |
c test04 |
| 381 |
pblh(i) = pblh(i) + 100. |
| 382 |
pblT(i) = t(i,k-1) + (t(i,k)-t(i,k-1)) * |
| 383 |
. (pblh(i)-z(i,k-1))/(z(i,k)-z(i,k-1)) |
| 384 |
check(i) = .FALSE. |
| 385 |
ENDIF |
| 386 |
ENDIF |
| 387 |
ENDDO |
| 388 |
ENDDO |
| 389 |
|
| 390 |
C |
| 391 |
C Set pbl height to maximum value where computation exceeds number of |
| 392 |
C layers allowed |
| 393 |
C |
| 394 |
DO i = 1, knon |
| 395 |
if (check(i)) pblh(i) = z(i,isommet) |
| 396 |
ENDDO |
| 397 |
C |
| 398 |
C Improve estimate of pbl height for the unstable points. |
| 399 |
C Find unstable points (sensible heat flux is upward): |
| 400 |
C |
| 401 |
DO i = 1, knon |
| 402 |
IF (heatv(i) .GT. 0.) THEN |
| 403 |
unstbl(i) = .TRUE. |
| 404 |
check(i) = .TRUE. |
| 405 |
ELSE |
| 406 |
unstbl(i) = .FALSE. |
| 407 |
check(i) = .FALSE. |
| 408 |
ENDIF |
| 409 |
ENDDO |
| 410 |
C |
| 411 |
C For the unstable case, compute velocity scale and the |
| 412 |
C convective temperature excess: |
| 413 |
C |
| 414 |
DO i = 1, knon |
| 415 |
IF (check(i)) THEN |
| 416 |
phiminv(i) = (1.-binm*pblh(i)/obklen(i))**onet |
| 417 |
c *************************************************** |
| 418 |
c Wm ? et W* ? c'est la formule pour z/h < .1 |
| 419 |
c ;Calcul de w* ;; |
| 420 |
c ;;;;;;;;;;;;;;;; |
| 421 |
c w_star=((g/tcls)*fcsv*z(ind))^(1/3.) [ou prendre la premiere approx de h) |
| 422 |
c ;; CALCUL DE wm ;; |
| 423 |
c ;;;;;;;;;;;;;;;;;; |
| 424 |
c ; Ici on considerera que l'on est dans la couche de surf jusqu'a 100m |
| 425 |
c ; On prend svt couche de surface=0.1*h mais on ne connait pas h |
| 426 |
c ;;;;;;;;;;;Dans la couche de surface |
| 427 |
c if (z(ind) le 20) then begin |
| 428 |
c Phim=(1.-15.*(z(ind)/L))^(-1/3.) |
| 429 |
c wm=u_star/Phim |
| 430 |
c ;;;;;;;;;;;En dehors de la couche de surface |
| 431 |
c endif else if (z(ind) gt 20) then begin |
| 432 |
c wm=(u_star^3+c1*w_star^3)^(1/3.) |
| 433 |
c endif |
| 434 |
c *************************************************** |
| 435 |
wm(i)= ustar(i)*phiminv(i) |
| 436 |
c====================================================================== |
| 437 |
cvaleurs de Dominique Lambert de la campagne SEMAPHORE : |
| 438 |
c <T'^2> = 100.T*^2; <q'^2> = 20.q*^2 a 10m |
| 439 |
c <Tv'^2> = (1+1.2q).100.T* + 1.2Tv.sqrt(20*100).T*.q* + (.608*Tv)^2*20.q*^2; |
| 440 |
c et dTetavS = sqrt(<Tv'^2>) ainsi calculee. |
| 441 |
c avec : T*=<w'T'>_s/w* et q*=<w'q'>/w* |
| 442 |
c !!! on peut donc utiliser w* pour les fluctuations <-> Lambert |
| 443 |
c(leur corellation pourrait dependre de beta par ex) |
| 444 |
c if fcsv(i,j) gt 0 then begin |
| 445 |
c dTetavs=b1*(1.+2.*.608*q_10(i,j))*(fcs(i,j)/wm(i,j))^2+$ |
| 446 |
c (.608*Thetav_10(i,j))^2*b2*(xle(i,j)/wm(i,j))^2+$ |
| 447 |
c 2.*.608*thetav_10(i,j)*sqrt(b1*b2)*(xle(i,j)/wm(i,j))*(fcs(i,j)/wm(i,j)) |
| 448 |
c dqs=b2*(xle(i,j)/wm(i,j))^2 |
| 449 |
c theta_s(i,j)=thetav_10(i,j)+sqrt(dTetavs) |
| 450 |
c q_s(i,j)=q_10(i,j)+sqrt(dqs) |
| 451 |
c endif else begin |
| 452 |
c Theta_s(i,j)=thetav_10(i,j) |
| 453 |
c q_s(i,j)=q_10(i,j) |
| 454 |
c endelse |
| 455 |
c====================================================================== |
| 456 |
c |
| 457 |
cHBTM therm(i) = heatv(i)*fak/wm(i) |
| 458 |
c forme Mathieu : |
| 459 |
q_star = kqfs(i)/wm(i) |
| 460 |
t_star = khfs(i)/wm(i) |
| 461 |
cIM 091204 BEG |
| 462 |
IF(1.EQ.0) THEN |
| 463 |
IF(t_star.LT.0..OR.q_star.LT.0.) THEN |
| 464 |
print*,'i t_star q_star khfs kqfs wm',i,t_star,q_star, |
| 465 |
$ khfs(i),kqfs(i),wm(i) |
| 466 |
ENDIF |
| 467 |
ENDIF |
| 468 |
cIM 091204 END |
| 469 |
cAM Nveau cde ref 2m => |
| 470 |
cAM therm(i) = sqrt( b1*(1.+2.*RETV*q(i,1))*t_star**2 |
| 471 |
cAM + + (RETV*T(i,1))**2*b2*q_star**2 |
| 472 |
cAM + + 2.*RETV*T(i,1)*b212*q_star*t_star |
| 473 |
cAM + ) |
| 474 |
cIM 091204 BEG |
| 475 |
a1=b1*(1.+2.*RETV*qT_th(i))*t_star**2 |
| 476 |
a2=(RETV*Th_th(i))**2*b2*q_star**2 |
| 477 |
a3=2.*RETV*Th_th(i)*b212*q_star*t_star |
| 478 |
aa=a1+a2+a3 |
| 479 |
IF(1.EQ.0) THEN |
| 480 |
IF (aa.LT.0.) THEN |
| 481 |
print*,'i a1 a2 a3 aa',i,a1,a2,a3,aa |
| 482 |
print*,'i qT_th Th_th t_star q_star RETV b1 b2 b212', |
| 483 |
$ i,qT_th(i),Th_th(i),t_star,q_star,RETV,b1,b2,b212 |
| 484 |
ENDIF |
| 485 |
ENDIF |
| 486 |
cIM 091204 END |
| 487 |
therm(i) = sqrt( b1*(1.+2.*RETV*qT_th(i))*t_star**2 |
| 488 |
+ + (RETV*Th_th(i))**2*b2*q_star**2 |
| 489 |
cIM 101204 + + 2.*RETV*Th_th(i)*b212*q_star*t_star |
| 490 |
+ + max(0.,2.*RETV*Th_th(i)*b212*q_star*t_star) |
| 491 |
+ ) |
| 492 |
c |
| 493 |
c Theta et qT du thermique (forme H&B) avec exces |
| 494 |
c (attention, on ajoute therm(i) qui est virtuelle ...) |
| 495 |
c pourquoi pas sqrt(b1)*t_star ? |
| 496 |
c dqs = b2sr*kqfs(i)/wm(i) |
| 497 |
qT_th(i) = qT_th(i) + b2sr*q_star |
| 498 |
cnew on differre le calcul de Theta_e |
| 499 |
c The_th(i) = The_th(i) + therm(i) + RLvCp*qT_th(i) |
| 500 |
c ou: The_th(i) = The_th(i) + sqrt(b1)*khfs(i)/wm(i) + RLvCp*qT_th(i) |
| 501 |
rhino(i,1) = 0.0 |
| 502 |
ENDIF |
| 503 |
ENDDO |
| 504 |
C |
| 505 |
c +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 506 |
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 507 |
C ++ Improve pblh estimate for unstable conditions using the +++++++ |
| 508 |
C ++ convective temperature excess : +++++++ |
| 509 |
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 510 |
c +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 511 |
C |
| 512 |
DO k = 2, isommet |
| 513 |
DO i = 1, knon |
| 514 |
IF (check(i)) THEN |
| 515 |
ctest zdu2 = (u(i,k)-u(i,1))**2+(v(i,k)-v(i,1))**2+fac*ustar(i)**2 |
| 516 |
zdu2 = u(i,k)**2+v(i,k)**2 |
| 517 |
zdu2 = max(zdu2,1.0e-20) |
| 518 |
c Theta_v environnement |
| 519 |
zthvd=t(i,k)/s(i,k)*(1.+RETV*q(i,k)) |
| 520 |
c |
| 521 |
c et therm Theta_v (avec hypothese de constance de H&B, |
| 522 |
c zthvu=(t(i,1)+therm(i))/s(i,1)*(1.+RETV*q(i,1)) |
| 523 |
zthvu = Th_th(i)*(1.+RETV*qT_th(i)) + therm(i) |
| 524 |
|
| 525 |
c |
| 526 |
c Le Ri par Theta_v |
| 527 |
cAM Niveau de ref 2m |
| 528 |
cAM rhino(i,k) = (z(i,k)-z(i,1))*RG*(zthvd-zthvu) |
| 529 |
cAM . /(zdu2*0.5*(zthvd+zthvu)) |
| 530 |
rhino(i,k) = (z(i,k)-zref)*RG*(zthvd-zthvu) |
| 531 |
. /(zdu2*0.5*(zthvd+zthvu)) |
| 532 |
c |
| 533 |
c |
| 534 |
IF (rhino(i,k).GE.ricr) THEN |
| 535 |
pblh(i) = z(i,k-1) + (z(i,k-1)-z(i,k)) * |
| 536 |
. (ricr-rhino(i,k-1))/(rhino(i,k-1)-rhino(i,k)) |
| 537 |
c test04 |
| 538 |
pblh(i) = pblh(i) + 100. |
| 539 |
pblT(i) = t(i,k-1) + (t(i,k)-t(i,k-1)) * |
| 540 |
. (pblh(i)-z(i,k-1))/(z(i,k)-z(i,k-1)) |
| 541 |
check(i) = .FALSE. |
| 542 |
cIM 170305 BEG |
| 543 |
IF(1.EQ.0) THEN |
| 544 |
c debug print -120;34 -34- 58 et 0;26 wamp |
| 545 |
if (i.eq.950.or.i.eq.192.or.i.eq.624.or.i.eq.118) then |
| 546 |
print*,' i,Th_th,Therm,qT :',i,Th_th(i),therm(i),qT_th(i) |
| 547 |
q_star = kqfs(i)/wm(i) |
| 548 |
t_star = khfs(i)/wm(i) |
| 549 |
print*,'q* t*, b1,b2,b212 ',q_star,t_star |
| 550 |
- , b1*(1.+2.*RETV*qT_th(i))*t_star**2 |
| 551 |
- , (RETV*Th_th(i))**2*b2*q_star**2 |
| 552 |
- , 2.*RETV*Th_th(i)*b212*q_star*t_star |
| 553 |
print*,'zdu2 ,100.*ustar(i)**2',zdu2 ,fac*ustar(i)**2 |
| 554 |
endif |
| 555 |
ENDIF !(1.EQ.0) THEN |
| 556 |
cIM 170305 END |
| 557 |
c q_star = kqfs(i)/wm(i) |
| 558 |
c t_star = khfs(i)/wm(i) |
| 559 |
c trmb1(i) = b1*(1.+2.*RETV*q(i,1))*t_star**2 |
| 560 |
c trmb2(i) = (RETV*T(i,1))**2*b2*q_star**2 |
| 561 |
c Omega now trmb3(i) = 2.*RETV*T(i,1)*b212*q_star*t_star |
| 562 |
ENDIF |
| 563 |
ENDIF |
| 564 |
ENDDO |
| 565 |
ENDDO |
| 566 |
C |
| 567 |
C Set pbl height to maximum value where computation exceeds number of |
| 568 |
C layers allowed |
| 569 |
C |
| 570 |
DO i = 1, knon |
| 571 |
if (check(i)) pblh(i) = z(i,isommet) |
| 572 |
ENDDO |
| 573 |
C |
| 574 |
C PBL height must be greater than some minimum mechanical mixing depth |
| 575 |
C Several investigators have proposed minimum mechanical mixing depth |
| 576 |
C relationships as a function of the local friction velocity, u*. We |
| 577 |
C make use of a linear relationship of the form h = c u* where c=700. |
| 578 |
C The scaling arguments that give rise to this relationship most often |
| 579 |
C represent the coefficient c as some constant over the local coriolis |
| 580 |
C parameter. Here we make use of the experimental results of Koracin |
| 581 |
C and Berkowicz (1988) [BLM, Vol 43] for wich they recommend 0.07/f |
| 582 |
C where f was evaluated at 39.5 N and 52 N. Thus we use a typical mid |
| 583 |
C latitude value for f so that c = 0.07/f = 700. |
| 584 |
C |
| 585 |
DO i = 1, knon |
| 586 |
pblmin = 700.0*ustar(i) |
| 587 |
pblh(i) = MAX(pblh(i),pblmin) |
| 588 |
c par exemple : |
| 589 |
pblT(i) = t(i,2) + (t(i,3)-t(i,2)) * |
| 590 |
. (pblh(i)-z(i,2))/(z(i,3)-z(i,2)) |
| 591 |
ENDDO |
| 592 |
|
| 593 |
C ******************************************************************** |
| 594 |
C pblh is now available; do preparation for diffusivity calculation : |
| 595 |
C ******************************************************************** |
| 596 |
DO i = 1, knon |
| 597 |
check(i) = .TRUE. |
| 598 |
Zsat(i) = .FALSE. |
| 599 |
c omegafl utilise pour prolongement CAPE |
| 600 |
omegafl(i) = .FALSE. |
| 601 |
Cape(i) = 0. |
| 602 |
Kape(i) = 0. |
| 603 |
EauLiq(i) = 0. |
| 604 |
CTEI(i) = 0. |
| 605 |
pblk(i) = 0.0 |
| 606 |
fak1(i) = ustar(i)*pblh(i)*vk |
| 607 |
C |
| 608 |
C Do additional preparation for unstable cases only, set temperature |
| 609 |
C and moisture perturbations depending on stability. |
| 610 |
C *** Rq: les formule sont prises dans leur forme CS *** |
| 611 |
IF (unstbl(i)) THEN |
| 612 |
cAM Niveau de ref du thermique |
| 613 |
cAM zxt=(t(i,1)-z(i,1)*0.5*RG/RCPD/(1.+RVTMP2*q(i,1))) |
| 614 |
cAM . *(1.+RETV*q(i,1)) |
| 615 |
zxt=(Th_th(i)-zref*0.5*RG/RCPD/(1.+RVTMP2*qT_th(i))) |
| 616 |
. *(1.+RETV*qT_th(i)) |
| 617 |
phiminv(i) = (1. - binm*pblh(i)/obklen(i))**onet |
| 618 |
phihinv(i) = sqrt(1. - binh*pblh(i)/obklen(i)) |
| 619 |
wm(i) = ustar(i)*phiminv(i) |
| 620 |
fak2(i) = wm(i)*pblh(i)*vk |
| 621 |
wstr(i) = (heatv(i)*RG*pblh(i)/zxt)**onet |
| 622 |
fak3(i) = fakn*wstr(i)/wm(i) |
| 623 |
ENDIF |
| 624 |
c Computes Theta_e for thermal (all cases : to be modified) |
| 625 |
c attention ajout therm(i) = virtuelle |
| 626 |
The_th(i) = Th_th(i) + therm(i) + RLvCp*qT_th(i) |
| 627 |
c ou: The_th(i) = Th_th(i) + sqrt(b1)*khfs(i)/wm(i) + RLvCp*qT_th(i) |
| 628 |
ENDDO |
| 629 |
|
| 630 |
C Main level loop to compute the diffusivities and |
| 631 |
C counter-gradient terms: |
| 632 |
C |
| 633 |
DO 1000 k = 2, isommet |
| 634 |
C |
| 635 |
C Find levels within boundary layer: |
| 636 |
C |
| 637 |
DO i = 1, knon |
| 638 |
unslev(i) = .FALSE. |
| 639 |
stblev(i) = .FALSE. |
| 640 |
zm(i) = z(i,k-1) |
| 641 |
zp(i) = z(i,k) |
| 642 |
IF (zkmin.EQ.0.0 .AND. zp(i).GT.pblh(i)) zp(i) = pblh(i) |
| 643 |
IF (zm(i) .LT. pblh(i)) THEN |
| 644 |
zmzp = 0.5*(zm(i) + zp(i)) |
| 645 |
C debug |
| 646 |
c if (i.EQ.1864) then |
| 647 |
c print*,'i,pblh(1864),obklen(1864)',i,pblh(i),obklen(i) |
| 648 |
c endif |
| 649 |
|
| 650 |
zh(i) = zmzp/pblh(i) |
| 651 |
zl(i) = zmzp/obklen(i) |
| 652 |
zzh(i) = 0. |
| 653 |
IF (zh(i).LE.1.0) zzh(i) = (1. - zh(i))**2 |
| 654 |
C |
| 655 |
C stblev for points zm < plbh and stable and neutral |
| 656 |
C unslev for points zm < plbh and unstable |
| 657 |
C |
| 658 |
IF (unstbl(i)) THEN |
| 659 |
unslev(i) = .TRUE. |
| 660 |
ELSE |
| 661 |
stblev(i) = .TRUE. |
| 662 |
ENDIF |
| 663 |
ENDIF |
| 664 |
ENDDO |
| 665 |
c print*,'fin calcul niveaux' |
| 666 |
C |
| 667 |
C Stable and neutral points; set diffusivities; counter-gradient |
| 668 |
C terms zero for stable case: |
| 669 |
C |
| 670 |
DO i = 1, knon |
| 671 |
IF (stblev(i)) THEN |
| 672 |
IF (zl(i).LE.1.) THEN |
| 673 |
pblk(i) = fak1(i)*zh(i)*zzh(i)/(1. + betas*zl(i)) |
| 674 |
ELSE |
| 675 |
pblk(i) = fak1(i)*zh(i)*zzh(i)/(betas + zl(i)) |
| 676 |
ENDIF |
| 677 |
c pcfm(i,k) = pblk(i) |
| 678 |
c pcfh(i,k) = pcfm(i,k) |
| 679 |
ENDIF |
| 680 |
ENDDO |
| 681 |
C |
| 682 |
C unssrf, unstable within surface layer of pbl |
| 683 |
C unsout, unstable within outer layer of pbl |
| 684 |
C |
| 685 |
DO i = 1, knon |
| 686 |
unssrf(i) = .FALSE. |
| 687 |
unsout(i) = .FALSE. |
| 688 |
IF (unslev(i)) THEN |
| 689 |
IF (zh(i).lt.sffrac) THEN |
| 690 |
unssrf(i) = .TRUE. |
| 691 |
ELSE |
| 692 |
unsout(i) = .TRUE. |
| 693 |
ENDIF |
| 694 |
ENDIF |
| 695 |
ENDDO |
| 696 |
C |
| 697 |
C Unstable for surface layer; counter-gradient terms zero |
| 698 |
C |
| 699 |
DO i = 1, knon |
| 700 |
IF (unssrf(i)) THEN |
| 701 |
term = (1. - betam*zl(i))**onet |
| 702 |
pblk(i) = fak1(i)*zh(i)*zzh(i)*term |
| 703 |
pr(i) = term/sqrt(1. - betah*zl(i)) |
| 704 |
ENDIF |
| 705 |
ENDDO |
| 706 |
c print*,'fin counter-gradient terms zero' |
| 707 |
C |
| 708 |
C Unstable for outer layer; counter-gradient terms non-zero: |
| 709 |
C |
| 710 |
DO i = 1, knon |
| 711 |
IF (unsout(i)) THEN |
| 712 |
pblk(i) = fak2(i)*zh(i)*zzh(i) |
| 713 |
c cgs(i,k) = fak3(i)/(pblh(i)*wm(i)) |
| 714 |
c cgh(i,k) = khfs(i)*cgs(i,k) |
| 715 |
pr(i) = phiminv(i)/phihinv(i) + ccon*fak3(i)/fak |
| 716 |
c cgq(i,k) = kqfs(i)*cgs(i,k) |
| 717 |
ENDIF |
| 718 |
ENDDO |
| 719 |
c print*,'fin counter-gradient terms non zero' |
| 720 |
C |
| 721 |
C For all unstable layers, compute diffusivities and ctrgrad ter m |
| 722 |
C |
| 723 |
c DO i = 1, knon |
| 724 |
c IF (unslev(i)) THEN |
| 725 |
c pcfm(i,k) = pblk(i) |
| 726 |
c pcfh(i,k) = pblk(i)/pr(i) |
| 727 |
c etc cf original |
| 728 |
c ENDIF |
| 729 |
c ENDDO |
| 730 |
C |
| 731 |
C For all layers, compute integral info and CTEI |
| 732 |
C |
| 733 |
DO i = 1, knon |
| 734 |
if (check(i).or.omegafl(i)) then |
| 735 |
if (.not.Zsat(i)) then |
| 736 |
c Th2 = The_th(i) - RLvCp*qT_th(i) |
| 737 |
Th2 = Th_th(i) |
| 738 |
T2 = Th2*s(i,k) |
| 739 |
c thermodyn functions |
| 740 |
zdelta=MAX(0.,SIGN(1.,RTT-T2)) |
| 741 |
qqsat= r2es * FOEEW(T2,zdelta)/pplay(i,k) |
| 742 |
qqsat=MIN(0.5,qqsat) |
| 743 |
zcor=1./(1.-retv*qqsat) |
| 744 |
qqsat=qqsat*zcor |
| 745 |
c |
| 746 |
if (qqsat.lt.qT_th(i)) then |
| 747 |
c on calcule lcl |
| 748 |
if (k.eq.2) then |
| 749 |
plcl(i) = z(i,k) |
| 750 |
else |
| 751 |
plcl(i) = z(i,k-1) + (z(i,k-1)-z(i,k)) * |
| 752 |
. (qT_th(i)-qsatbef(i))/(qsatbef(i)-qqsat) |
| 753 |
endif |
| 754 |
Zsat(i) = .true. |
| 755 |
Tbef(i) = T2 |
| 756 |
endif |
| 757 |
c |
| 758 |
endif |
| 759 |
qsatbef(i) = qqsat |
| 760 |
camn ???? cette ligne a deja ete faite normalement ? |
| 761 |
endif |
| 762 |
c print*,'hbtm2 i,k=',i,k |
| 763 |
ENDDO |
| 764 |
1000 continue ! end of level loop |
| 765 |
cIM 170305 BEG |
| 766 |
IF(1.EQ.0) THEN |
| 767 |
print*,'hbtm2 ok' |
| 768 |
ENDIF !(1.EQ.0) THEN |
| 769 |
cIM 170305 END |
| 770 |
RETURN |
| 771 |
END |
Parent Directory
| 
Revision Log