GCC Code Coverage Report


Directory: ./
File: phys/hbtm_mod.f90
Date: 2022-01-11 19:19:34
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1 module hbtm_mod
2
3 IMPLICIT NONE
4
5 contains
6
7 40602618 SUBROUTINE hbtm(knon, paprs, pplay, t2m, t10m, q2m, q10m, ustar, wstar, &
8
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1920 flux_t, flux_q, u, v, t, q, pblh, cape, eauliq, ctei, pblt, therm, &
9 trmb1, trmb2, trmb3, plcl)
10 USE dimphy
11
12 ! ***************************************************************
13 ! * *
14 ! * HBTM2 D'apres Holstag&Boville et Troen&Mahrt *
15 ! * JAS 47 BLM *
16 ! * Algorithme These Anne Mathieu *
17 ! * Critere d'Entrainement Peter Duynkerke (JAS 50) *
18 ! * written by : Anne MATHIEU & Alain LAHELLEC, 22/11/99 *
19 ! * features : implem. exces Mathieu *
20 ! ***************************************************************
21 ! * mods : decembre 99 passage th a niveau plus bas. voir fixer *
22 ! * la prise du th a z/Lambda = -.2 (max Ray) *
23 ! * Autre algo : entrainement ~ Theta+v =cste mais comment=>The?*
24 ! * on peut fixer q a .7qsat(cf non adiab)=>T2 et The2 *
25 ! * voir aussi //KE pblh = niveau The_e ou l = env. *
26 ! ***************************************************************
27 ! * fin therm a la HBTM passage a forme Mathieu 12/09/2001 *
28 ! ***************************************************************
29 ! *
30
31
32 ! AM Fev 2003
33 ! Adaptation a LMDZ version couplee
34
35 ! Pour le moment on fait passer en argument les grdeurs de surface :
36 ! flux, t,q2m, t,q10m, on va utiliser systematiquement les grdeurs a 2m ms
37 ! on garde la possibilite de changer si besoin est (jusqu'a present la
38 ! forme de HB avec le 1er niveau modele etait conservee)
39
40
41
42
43
44 include "YOMCST.h"
45 REAL rlvcp, reps
46 ! Arguments:
47
48 INTEGER knon ! nombre de points a calculer
49 ! AM
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 wstar(klon) ! w*, convective velocity scale
54 REAL paprs(klon, klev+1) ! pression a inter-couche (Pa)
55 REAL pplay(klon, klev) ! pression au milieu de couche (Pa)
56 REAL flux_t(klon, klev), flux_q(klon, klev) ! Flux
57 REAL u(klon, klev) ! vitesse U (m/s)
58 REAL v(klon, klev) ! vitesse V (m/s)
59 REAL t(klon, klev) ! temperature (K)
60 REAL q(klon, klev) ! vapeur d'eau (kg/kg)
61 ! AM REAL cd_h(klon) ! coefficient de friction au sol pour chaleur
62 ! AM REAL cd_m(klon) ! coefficient de friction au sol pour vitesse
63
64 INTEGER isommet
65 ! um PARAMETER (isommet=klev) ! limite max sommet pbl
66 REAL, PARAMETER :: vk = 0.35 ! Von Karman => passer a .41 ! cf U.Olgstrom
67 REAL, PARAMETER :: ricr = 0.4
68 REAL, PARAMETER :: fak = 8.5 ! b calcul du Prandtl et de dTetas
69 REAL, PARAMETER :: fakn = 7.2 ! a
70 REAL, PARAMETER :: onet = 1.0/3.0
71 REAL, PARAMETER :: t_coup = 273.15
72 REAL, PARAMETER :: zkmin = 0.01
73 REAL, PARAMETER :: betam = 15.0 ! pour Phim / h dans la S.L stable
74 REAL, PARAMETER :: betah = 15.0
75
76 REAL, PARAMETER :: betas = 5.0
77 ! Phit dans la S.L. stable (mais 2 formes / z/OBL<>1
78
79 REAL, PARAMETER :: sffrac = 0.1 ! S.L. = z/h < .1
80 REAL, PARAMETER :: usmin = 1.E-12
81 REAL, PARAMETER :: binm = betam*sffrac
82 REAL, PARAMETER :: binh = betah*sffrac
83 REAL, PARAMETER :: ccon = fak*sffrac*vk
84 REAL, PARAMETER :: b1 = 70., b2 = 20.
85 REAL, PARAMETER :: zref = 2. ! Niveau de ref a 2m peut eventuellement
86 ! etre choisi a 10m
87 REAL q_star, t_star
88 REAL b212, b2sr ! Lambert correlations T' q' avec T* q*
89
90 3840 REAL z(klon, klev)
91 ! AM REAL pcfm(klon,klev), pcfh(klon,klev)
92 INTEGER i, k, j
93 REAL zxt
94 ! AM REAL zxt, zxq, zxu, zxv, zxmod, taux, tauy
95 ! AM REAL zx_alf1, zx_alf2 ! parametres pour extrapolation
96 3840 REAL khfs(klon) ! surface kinematic heat flux [mK/s]
97 3840 REAL kqfs(klon) ! sfc kinematic constituent flux [m/s]
98 3840 REAL heatv(klon) ! surface virtual heat flux
99 3840 REAL rhino(klon, klev) ! bulk Richardon no. mais en Theta_v
100 3840 LOGICAL unstbl(klon) ! pts w/unstbl pbl (positive virtual ht flx)
101 3840 LOGICAL stblev(klon) ! stable pbl with levels within pbl
102 3840 LOGICAL unslev(klon) ! unstbl pbl with levels within pbl
103 3840 LOGICAL unssrf(klon) ! unstb pbl w/lvls within srf pbl lyr
104 3840 LOGICAL unsout(klon) ! unstb pbl w/lvls in outer pbl lyr
105 3840 LOGICAL check(klon) ! True=>chk if Richardson no.>critcal
106 3840 LOGICAL omegafl(klon) ! flag de prolongerment cape pour pt Omega
107 REAL pblh(klon)
108 REAL pblt(klon)
109 REAL plcl(klon)
110 ! AM REAL cgh(klon,2:klev) ! counter-gradient term for heat [K/m]
111 ! AM REAL cgq(klon,2:klev) ! counter-gradient term for constituents
112 ! AM REAL cgs(klon,2:klev) ! counter-gradient star (cg/flux)
113 3840 REAL unsobklen(klon) ! Monin-Obukhov lengh
114 ! AM REAL ztvd, ztvu,
115 REAL zdu2
116 REAL, intent(out):: therm(:) ! (klon) thermal virtual temperature excess
117 REAL trmb1(klon), trmb2(klon), trmb3(klon)
118 ! Algorithme thermique
119 3840 REAL s(klon, klev) ! [P/Po]^Kappa milieux couches
120 3840 REAL th_th(klon) ! potential temperature of thermal
121 3840 REAL the_th(klon) ! equivalent potential temperature of thermal
122 3840 REAL qt_th(klon) ! total water of thermal
123 3840 REAL tbef(klon) ! T thermique niveau precedent
124 3840 REAL qsatbef(klon)
125 3840 LOGICAL zsat(klon) ! le thermique est sature
126 REAL cape(klon) ! Cape du thermique
127 3840 REAL kape(klon) ! Cape locale
128 REAL eauliq(klon) ! Eau liqu integr du thermique
129 REAL ctei(klon) ! Critere d'instab d'entrainmt des nuages de CL
130 REAL the1, the2, aa, bb, zthvd, zthvu, xintpos, qqsat
131 ! IM 091204 BEG
132 REAL a1, a2, a3
133 ! IM 091204 END
134 REAL xhis, rnum, denom, th1, th2, thv1, thv2, ql2
135 REAL dqsat_dt, qsat2, qt1, q2, t1, t2, xnull, delt_the
136 REAL delt_qt, delt_2, quadsat, spblh, reduc
137
138 3840 REAL phiminv(klon) ! inverse phi function for momentum
139 3840 REAL phihinv(klon) ! inverse phi function for heat
140 3840 REAL wm(klon) ! turbulent velocity scale for momentum
141 3840 REAL fak1(klon) ! k*ustar*pblh
142 3840 REAL fak2(klon) ! k*wm*pblh
143 3840 REAL fak3(klon) ! fakn*wstar/wm
144 3840 REAL pblk(klon) ! level eddy diffusivity for momentum
145 3840 REAL pr(klon) ! Prandtl number for eddy diffusivities
146 3840 REAL zl(klon) ! zmzp / Obukhov length
147 3840 REAL zh(klon) ! zmzp / pblh
148 3840 REAL zzh(klon) ! (1-(zmzp/pblh))**2
149 3840 REAL zm(klon) ! current level height
150 1920 REAL zp(klon) ! current level height + one level up
151 REAL zcor, zdelta, zcvm5
152 ! AM REAL zxqs
153 REAL fac, pblmin, zmzp, term
154
155 include "YOETHF.h"
156 include "FCTTRE.h"
157
158
159
160 ! initialisations (Anne)
161 isommet = klev
162
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1910400 th_th(:) = 0.
163 q_star = 0
164 t_star = 0
165
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1910400 therm = 0.
166
167 b212 = sqrt(b1*b2)
168 b2sr = sqrt(b2)
169
170 ! ============================================================
171 ! Fonctions thermo implicites
172 ! ============================================================
173 ! +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
174 ! Tetens : pression partielle de vap d'eau e_sat(T)
175 ! =================================================
176 ! ++ e_sat(T) = r2*exp( r3*(T-Tf)/(T-r4) ) id a r2*FOEWE
177 ! ++ avec :
178 ! ++ Tf = 273.16 K (Temp de fusion de la glace)
179 ! ++ r2 = 611.14 Pa
180 ! ++ r3 = 17.269 (liquide) 21.875 (solide) adim
181 ! ++ r4 = 35.86 7.66 Kelvin
182 ! ++ q_sat = eps*e_sat/(p-(1-eps)*e_sat)
183 ! ++ deriv´┐Ż :
184 ! ++ =========
185 ! ++ r3*(Tf-r4)*q_sat(T,p)
186 ! ++ d_qsat_dT = --------------------------------
187 ! ++ (T-r4)^2*( 1-(1-eps)*e_sat(T)/p )
188 ! ++ pour zcvm5=Lv, c'est FOEDE
189 ! ++ Rq :(1.-REPS)*esarg/Parg id a RETV*Qsat
190 ! ------------------------------------------------------------------
191
192 ! Initialisation
193 1920 rlvcp = rlvtt/rcpd
194 reps = rd/rv
195
196
197 ! DO i = 1, klon
198 ! pcfh(i,1) = cd_h(i)
199 ! pcfm(i,1) = cd_m(i)
200 ! ENDDO
201 ! DO k = 2, klev
202 ! DO i = 1, klon
203 ! pcfh(i,k) = zkmin
204 ! pcfm(i,k) = zkmin
205 ! cgs(i,k) = 0.0
206 ! cgh(i,k) = 0.0
207 ! cgq(i,k) = 0.0
208 ! ENDDO
209 ! ENDDO
210
211 ! Calculer les hauteurs de chaque couche
212 ! (geopotentielle Int_dp/ro = Int_[Rd.T.dp/p] z = geop/g)
213 ! pourquoi ne pas utiliser Phi/RG ?
214
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790372 DO i = 1, knon
215 z(i, 1) = rd*t(i, 1)/(0.5*(paprs(i,1)+pplay(i,1)))&
216 788452 *(paprs(i,1)-pplay(i,1))/rg
217 790372 s(i, 1) = (pplay(i,1)/paprs(i,1))**rkappa
218 END DO
219 ! s(k) = [pplay(k)/ps]^kappa
220 ! + + + + + + + + + pplay <-> s(k) t dp=pplay(k-1)-pplay(k)
221
222 ! ----------------- paprs <-> sig(k)
223
224 ! + + + + + + + + + pplay <-> s(k-1)
225
226
227 ! + + + + + + + + + pplay <-> s(1) t dp=paprs-pplay z(1)
228
229 ! ----------------- paprs <-> sig(1)
230
231
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74880 DO k = 2, klev
232
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30036056 DO i = 1, knon
233 z(i, k) = z(i, k-1) + rd*0.5*(t(i,k-1)+t(i,k))/paprs(i, k)&
234 29961176 *(pplay(i,k-1)-pplay(i,k))/rg
235 30034136 s(i, k) = (pplay(i,k)/paprs(i,1))**rkappa
236 END DO
237 END DO
238 ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
239 ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
240 ! +++ Determination des grandeurs de surface +++++++++++++++++++++
241 ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
242 ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
243
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790372 DO i = 1, knon
244 ! AM IF (thermcep) THEN
245 ! AM zdelta=MAX(0.,SIGN(1.,RTT-tsol(i)))
246 ! zcvm5 = R5LES*RLVTT*(1.-zdelta) + R5IES*RLSTT*zdelta
247 ! zcvm5 = zcvm5 / RCPD / (1.0+RVTMP2*q(i,1))
248 ! AM zxqs= r2es * FOEEW(tsol(i),zdelta)/paprs(i,1)
249 ! AM zxqs=MIN(0.5,zxqs)
250 ! AM zcor=1./(1.-retv*zxqs)
251 ! AM zxqs=zxqs*zcor
252 ! AM ELSE
253 ! AM IF (tsol(i).LT.t_coup) THEN
254 ! AM zxqs = qsats(tsol(i)) / paprs(i,1)
255 ! AM ELSE
256 ! AM zxqs = qsatl(tsol(i)) / paprs(i,1)
257 ! AM ENDIF
258 ! AM ENDIF
259 ! niveau de reference bulk; mais ici, c,a pourrait etre le niveau de ref
260 ! du thermique
261 ! AM zx_alf1 = 1.0
262 ! AM zx_alf2 = 1.0 - zx_alf1
263 ! AM zxt = (t(i,1)+z(i,1)*RG/RCPD/(1.+RVTMP2*q(i,1)))
264 ! AM . *(1.+RETV*q(i,1))*zx_alf1
265 ! AM . + (t(i,2)+z(i,2)*RG/RCPD/(1.+RVTMP2*q(i,2)))
266 ! AM . *(1.+RETV*q(i,2))*zx_alf2
267 ! AM zxu = u(i,1)*zx_alf1+u(i,2)*zx_alf2
268 ! AM zxv = v(i,1)*zx_alf1+v(i,2)*zx_alf2
269 ! AM zxq = q(i,1)*zx_alf1+q(i,2)*zx_alf2
270 ! AM
271 ! AMAM zxu = u10m(i)
272 ! AMAM zxv = v10m(i)
273 ! AMAM zxmod = 1.0+SQRT(zxu**2+zxv**2)
274 ! AM Niveau de ref choisi a 2m
275 788452 zxt = t2m(i)
276
277 ! ***************************************************
278 ! attention, il doit s'agir de <w'theta'>
279 ! ;Calcul de tcls virtuel et de w'theta'virtuel
280 ! ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
281 ! tcls=tcls*(1+.608*qcls)
282
283 ! ;Pour avoir w'theta',
284 ! ; il faut diviser par ro.Cp
285 ! Cp=Cpd*(1+0.84*qcls)
286 ! fcs=fcs/(ro_surf*Cp)
287 ! ;On transforme w'theta' en w'thetav'
288 ! Lv=(2.501-0.00237*(tcls-273.15))*1.E6
289 ! xle=xle/(ro_surf*Lv)
290 ! fcsv=fcs+.608*xle*tcls
291 ! ***************************************************
292 ! AM khfs(i) = (tsol(i)*(1.+RETV*q(i,1))-zxt) *zxmod*cd_h(i)
293 ! AM kqfs(i) = (zxqs-zxq) *zxmod*cd_h(i) * beta(i)
294 ! AM
295 ! dif khfs est deja w't'_v / heatv(i) = khfs(i) + RETV*zxt*kqfs(i)
296 ! AM calcule de Ro = paprs(i,1)/Rd zxt
297 ! AM convention >0 vers le bas ds lmdz
298 788452 khfs(i) = -flux_t(i, 1)*zxt*rd/(rcpd*paprs(i,1))
299 788452 kqfs(i) = -flux_q(i, 1)*zxt*rd/(paprs(i,1))
300 ! AM verifier que khfs et kqfs sont bien de la forme w'l'
301 788452 heatv(i) = khfs(i) + 0.608*zxt*kqfs(i)
302 ! a comparer aussi aux sorties de clqh : flux_T/RoCp et flux_q/RoLv
303 ! AM heatv(i) = khfs(i)
304 ! AM ustar est en entree
305 ! AM taux = zxu *zxmod*cd_m(i)
306 ! AM tauy = zxv *zxmod*cd_m(i)
307 ! AM ustar(i) = SQRT(taux**2+tauy**2)
308 ! AM ustar(i) = MAX(SQRT(ustar(i)),0.01)
309 ! Theta et qT du thermique sans exces (interpolin vers surf)
310 ! chgt de niveau du thermique (jeudi 30/12/1999)
311 ! (interpolation lineaire avant integration phi_h)
312 ! AM qT_th(i) = zxqs*beta(i) + 4./z(i,1)*(q(i,1)-zxqs*beta(i))
313 ! AM qT_th(i) = max(qT_th(i),q(i,1))
314 788452 qt_th(i) = q2m(i)
315 ! n The_th restera la Theta du thermique sans exces jusqu'a 2eme calcul
316 ! n reste a regler convention P) pour Theta
317 ! The_th(i) = tsol(i) + 4./z(i,1)*(t(i,1)-tsol(i))
318 ! - + RLvCp*qT_th(i)
319 ! AM Th_th(i) = tsol(i) + 4./z(i,1)*(t(i,1)-tsol(i))
320 790372 th_th(i) = t2m(i)
321 END DO
322
323
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790372 DO i = 1, knon
324 788452 rhino(i, 1) = 0.0 ! Global Richardson
325 788452 check(i) = .TRUE.
326 788452 pblh(i) = z(i, 1) ! on initialise pblh a l'altitude du 1er niveau
327 788452 plcl(i) = 6000.
328 ! Lambda = -u*^3 / (alpha.g.kvon.<w'Theta'v>
329 788452 unsobklen(i) = -rg*vk*heatv(i)/(t(i,1)*max(ustar(i),usmin)**3)
330 788452 trmb1(i) = 0.
331 788452 trmb2(i) = 0.
332 790372 trmb3(i) = 0.
333 END DO
334
335
336 ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
337 ! PBL height calculation:
338 ! Search for level of pbl. Scan upward until the Richardson number between
339 ! the first level and the current level exceeds the "critical" value.
340 ! (bonne idee Nu de separer le Ric et l'exces de temp du thermique)
341 ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
342 fac = 100.0
343
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344
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30036056 DO i = 1, knon
345
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30034136 IF (check(i)) THEN
346 ! pourquoi / niveau 1 (au lieu du sol) et le terme en u*^2 ?
347 ! test zdu2 =
348 ! (u(i,k)-u(i,1))**2+(v(i,k)-v(i,1))**2+fac*ustar(i)**2
349 3139740 zdu2 = u(i, k)**2 + v(i, k)**2
350 3139740 zdu2 = max(zdu2, 1.0E-20)
351 ! Theta_v environnement
352 3139740 zthvd = t(i, k)/s(i, k)*(1.+retv*q(i,k))
353
354 ! therm Theta_v sans exces (avec hypothese fausse de H&B, sinon,
355 ! passer par Theta_e et virpot)
356 ! zthvu=t(i,1)/s(i,1)*(1.+RETV*q(i,1))
357 ! AM zthvu = Th_th(i)*(1.+RETV*q(i,1))
358 3139740 zthvu = th_th(i)*(1.+retv*qt_th(i))
359 ! Le Ri par Theta_v
360 ! AM rhino(i,k) = (z(i,k)-z(i,1))*RG*(zthvd-zthvu)
361 ! AM . /(zdu2*0.5*(zthvd+zthvu))
362 ! AM On a nveau de ref a 2m ???
363 rhino(i, k) = (z(i,k)-zref)*rg*(zthvd-zthvu)/(zdu2*0.5&
364 3139740 *(zthvd+zthvu))
365
366
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3139740 IF (rhino(i,k)>=ricr) THEN
367 pblh(i) = z(i, k-1) + (z(i,k-1)-z(i,k))*(ricr-rhino(i,k-1))&
368 788452 /(rhino(i,k-1)-rhino(i,k))
369 ! test04
370 788452 pblh(i) = pblh(i) + 100.
371 pblt(i) = t(i, k-1) + (t(i,k)-t(i,k-1))*(pblh(i)-z(i,k-1))&
372 788452 /(z(i,k)- z(i,k-1))
373 788452 check(i) = .FALSE.
374 END IF
375 END IF
376 END DO
377 END DO
378
379
380 ! Set pbl height to maximum value where computation exceeds number of
381 ! layers allowed
382
383
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790372 DO i = 1, knon
384
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790372 IF (check(i)) pblh(i) = z(i, isommet)
385 END DO
386
387 ! Improve estimate of pbl height for the unstable points.
388 ! Find unstable points (sensible heat flux is upward):
389
390
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790372 DO i = 1, knon
391
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790372 IF (heatv(i)>0.) THEN
392 525309 unstbl(i) = .TRUE.
393 525309 check(i) = .TRUE.
394 ELSE
395 263143 unstbl(i) = .FALSE.
396 263143 check(i) = .FALSE.
397 END IF
398 END DO
399
400 ! For the unstable case, compute velocity scale and the
401 ! convective temperature excess:
402
403
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790372 DO i = 1, knon
404
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790372 IF (check(i)) THEN
405 525309 phiminv(i) = (1.-binm*pblh(i)*unsobklen(i))**onet
406 ! ***************************************************
407 ! Wm ? et W* ? c'est la formule pour z/h < .1
408 ! ;Calcul de w* ;;
409 ! ;;;;;;;;;;;;;;;;
410 ! w_star=((g/tcls)*fcsv*z(ind))^(1/3.) [ou prendre la premiere approx
411 ! de h)
412 ! ;; CALCUL DE wm ;;
413 ! ;;;;;;;;;;;;;;;;;;
414 ! ; Ici on considerera que l'on est dans la couche de surf jusqu'a
415 ! 100 m
416 ! ; On prend svt couche de surface=0.1*h mais on ne connait pas h
417 ! ;;;;;;;;;;;Dans la couche de surface
418 ! if (z(ind) le 20) then begin
419 ! Phim=(1.-15.*(z(ind)/L))^(-1/3.)
420 ! wm=u_star/Phim
421 ! ;;;;;;;;;;;En dehors de la couche de surface
422 ! endif else if (z(ind) gt 20) then begin
423 ! wm=(u_star^3+c1*w_star^3)^(1/3.)
424 ! endif
425 ! ***************************************************
426 525309 wm(i) = ustar(i)*phiminv(i)
427 ! ===================================================================
428 ! valeurs de Dominique Lambert de la campagne SEMAPHORE :
429 ! <T'^2> = 100.T*^2; <q'^2> = 20.q*^2 a 10m
430 ! <Tv'^2> = (1+1.2q).100.T* + 1.2Tv.sqrt(20*100).T*.q* +
431 ! (.608*Tv)^2*20.q*^2;
432 ! et dTetavS = sqrt(<Tv'^2>) ainsi calculee.
433 ! avec : T*=<w'T'>_s/w* et q*=<w'q'>/w*
434 ! !!! on peut donc utiliser w* pour les fluctuations <-> Lambert
435 ! (leur corellation pourrait dependre de beta par ex)
436 ! if fcsv(i,j) gt 0 then begin
437 ! dTetavs=b1*(1.+2.*.608*q_10(i,j))*(fcs(i,j)/wm(i,j))^2+$
438 ! (.608*Thetav_10(i,j))^2*b2*(xle(i,j)/wm(i,j))^2+$
439 ! 2.*.608*thetav_10(i,j)*sqrt(b1*b2)*(xle(i,j)/wm(i,j))*(fcs(i,j)
440 ! /wm(i,j))
441 ! dqs=b2*(xle(i,j)/wm(i,j))^2
442 ! theta_s(i,j)=thetav_10(i,j)+sqrt(dTetavs)
443 ! q_s(i,j)=q_10(i,j)+sqrt(dqs)
444 ! endif else begin
445 ! Theta_s(i,j)=thetav_10(i,j)
446 ! q_s(i,j)=q_10(i,j)
447 ! endelse
448 ! ===================================================================
449
450 ! HBTM therm(i) = heatv(i)*fak/wm(i)
451 ! forme Mathieu :
452 525309 q_star = kqfs(i)/wm(i)
453 525309 t_star = khfs(i)/wm(i)
454 ! IM 091204 BEG
455 IF (1==0) THEN
456 IF (t_star<0. .OR. q_star<0.) THEN
457 PRINT *, 'i t_star q_star khfs kqfs wm', i, t_star, q_star, &
458 khfs(i), kqfs(i), wm(i)
459 END IF
460 END IF
461 ! IM 091204 END
462 ! AM Nveau cde ref 2m =>
463 ! AM therm(i) = sqrt( b1*(1.+2.*RETV*q(i,1))*t_star**2
464 ! AM + + (RETV*T(i,1))**2*b2*q_star**2
465 ! AM + + 2.*RETV*T(i,1)*b212*q_star*t_star
466 ! AM + )
467 ! IM 091204 BEG
468 525309 a1 = b1*(1.+2.*retv*qt_th(i))*t_star**2
469 525309 a2 = (retv*th_th(i))**2*b2*q_star*q_star
470 525309 a3 = 2.*retv*th_th(i)*b212*q_star*t_star
471 525309 aa = a1 + a2 + a3
472 IF (1==0) THEN
473 IF (aa<0.) THEN
474 PRINT *, 'i a1 a2 a3 aa', i, a1, a2, a3, aa
475 PRINT *, 'i qT_th Th_th t_star q_star RETV b1 b2 b212', i, &
476 qt_th(i), th_th(i), t_star, q_star, retv, b1, b2, b212
477 END IF
478 END IF
479 ! IM 091204 END
480 therm(i) = sqrt(b1*(1.+2.*retv*qt_th(i))*t_star**2+(retv*th_th( &
481 i))**2*b2*q_star*q_star & ! IM 101204 + +
482 ! 2.*RETV*Th_th(i)*b212*q_star*t_star
483 525309 +max(0.,2.*retv*th_th(i)*b212*q_star*t_star))
484
485 ! Theta et qT du thermique (forme H&B) avec exces
486 ! (attention, on ajoute therm(i) qui est virtuelle ...)
487 ! pourquoi pas sqrt(b1)*t_star ?
488 ! dqs = b2sr*kqfs(i)/wm(i)
489 525309 qt_th(i) = qt_th(i) + b2sr*q_star
490 ! new on differre le calcul de Theta_e
491 ! The_th(i) = The_th(i) + therm(i) + RLvCp*qT_th(i)
492 ! ou: The_th(i) = The_th(i) + sqrt(b1)*khfs(i)/wm(i) +
493 ! RLvCp*qT_th(i)
494 525309 rhino(i, 1) = 0.0
495 END IF
496 END DO
497
498 ! +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
499 ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
500 ! ++ Improve pblh estimate for unstable conditions using the +++++++
501 ! ++ convective temperature excess : +++++++
502 ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
503 ! +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
504
505
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74880 DO k = 2, isommet
506
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507
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30034136 IF (check(i)) THEN
508 ! test zdu2 =
509 ! (u(i,k)-u(i,1))**2+(v(i,k)-v(i,1))**2+fac*ustar(i)**2
510 2701897 zdu2 = u(i, k)**2 + v(i, k)**2
511 2701897 zdu2 = max(zdu2, 1.0E-20)
512 ! Theta_v environnement
513 2701897 zthvd = t(i, k)/s(i, k)*(1.+retv*q(i,k))
514
515 ! et therm Theta_v (avec hypothese de constance de H&B,
516 ! zthvu=(t(i,1)+therm(i))/s(i,1)*(1.+RETV*q(i,1))
517 2701897 zthvu = th_th(i)*(1.+retv*qt_th(i)) + therm(i)
518
519
520 ! Le Ri par Theta_v
521 ! AM Niveau de ref 2m
522 ! AM rhino(i,k) = (z(i,k)-z(i,1))*RG*(zthvd-zthvu)
523 ! AM . /(zdu2*0.5*(zthvd+zthvu))
524 rhino(i, k) = (z(i,k)-zref)*rg*(zthvd-zthvu)/(zdu2*0.5&
525 2701897 *(zthvd+zthvu))
526
527
528
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2701897 IF (rhino(i,k)>=ricr) THEN
529 pblh(i) = z(i, k-1) + (z(i,k-1)-z(i,k))*(ricr-rhino(i,k-1))&
530 525309 /(rhino(i,k-1)-rhino(i,k))
531 ! test04
532 525309 pblh(i) = pblh(i) + 100.
533 pblt(i) = t(i, k-1) + (t(i,k)-t(i,k-1))*(pblh(i)-z(i,k-1))&
534 525309 /(z(i,k)- z(i,k-1))
535 525309 check(i) = .FALSE.
536 ! IM 170305 BEG
537 IF (1==0) THEN
538 ! debug print -120;34 -34- 58 et 0;26 wamp
539 IF (i==950 .OR. i==192 .OR. i==624 .OR. i==118) THEN
540 PRINT *, ' i,Th_th,Therm,qT :', i, th_th(i), therm(i), &
541 qt_th(i)
542 q_star = kqfs(i)/wm(i)
543 t_star = khfs(i)/wm(i)
544 PRINT *, 'q* t*, b1,b2,b212 ', q_star, t_star, &
545 b1*(1.+2.*retv*qt_th(i))*t_star**2, &
546 (retv*th_th(i))**2*b2*q_star**2, 2.*retv*th_th(i)&
547 *b212*q_star *t_star
548 PRINT *, 'zdu2 ,100.*ustar(i)**2', zdu2, fac*ustar(i)**2
549 END IF
550 END IF !(1.EQ.0) THEN
551 ! IM 170305 END
552 ! q_star = kqfs(i)/wm(i)
553 ! t_star = khfs(i)/wm(i)
554 ! trmb1(i) = b1*(1.+2.*RETV*q(i,1))*t_star**2
555 ! trmb2(i) = (RETV*T(i,1))**2*b2*q_star**2
556 ! Omega now trmb3(i) = 2.*RETV*T(i,1)*b212*q_star*t_star
557 END IF
558 END IF
559 END DO
560 END DO
561
562 ! Set pbl height to maximum value where computation exceeds number of
563 ! layers allowed
564
565
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566
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790372 IF (check(i)) pblh(i) = z(i, isommet)
567 END DO
568
569 ! PBL height must be greater than some minimum mechanical mixing depth
570 ! Several investigators have proposed minimum mechanical mixing depth
571 ! relationships as a function of the local friction velocity, u*. We
572 ! make use of a linear relationship of the form h = c u* where c=700.
573 ! The scaling arguments that give rise to this relationship most often
574 ! represent the coefficient c as some constant over the local coriolis
575 ! parameter. Here we make use of the experimental results of Koracin
576 ! and Berkowicz (1988) [BLM, Vol 43] for wich they recommend 0.07/f
577 ! where f was evaluated at 39.5 N and 52 N. Thus we use a typical mid
578 ! latitude value for f so that c = 0.07/f = 700.
579
580
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790372 DO i = 1, knon
581 788452 pblmin = 700.0*ustar(i)
582 788452 pblh(i) = max(pblh(i), pblmin)
583 ! par exemple :
584 790372 pblt(i) = t(i, 2) + (t(i,3)-t(i,2))*(pblh(i)-z(i,2))/(z(i,3)-z(i,2))
585 END DO
586
587 ! ********************************************************************
588 ! pblh is now available; do preparation for diffusivity calculation :
589 ! ********************************************************************
590
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790372 DO i = 1, knon
591 788452 check(i) = .TRUE.
592 788452 zsat(i) = .FALSE.
593 ! omegafl utilise pour prolongement CAPE
594 788452 omegafl(i) = .FALSE.
595 788452 cape(i) = 0.
596 788452 kape(i) = 0.
597 788452 eauliq(i) = 0.
598 788452 ctei(i) = 0.
599 788452 pblk(i) = 0.0
600 788452 fak1(i) = ustar(i)*pblh(i)*vk
601
602 ! Do additional preparation for unstable cases only, set temperature
603 ! and moisture perturbations depending on stability.
604 ! *** Rq: les formule sont prises dans leur forme CS ***
605
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788452 IF (unstbl(i)) THEN
606 ! AM Niveau de ref du thermique
607 ! AM zxt=(t(i,1)-z(i,1)*0.5*RG/RCPD/(1.+RVTMP2*q(i,1)))
608 ! AM . *(1.+RETV*q(i,1))
609 zxt = (th_th(i)-zref*0.5*rg/rcpd/(1.+rvtmp2*qt_th(i)))* &
610 525309 (1.+retv*qt_th(i))
611 525309 phiminv(i) = (1.-binm*pblh(i)*unsobklen(i))**onet
612 525309 phihinv(i) = sqrt(1.-binh*pblh(i)*unsobklen(i))
613 525309 wm(i) = ustar(i)*phiminv(i)
614 525309 fak2(i) = wm(i)*pblh(i)*vk
615 525309 wstar(i) = (heatv(i)*rg*pblh(i)/zxt)**onet
616 525309 fak3(i) = fakn*wstar(i)/wm(i)
617 ELSE
618 263143 wstar(i) = 0.
619 END IF
620 ! Computes Theta_e for thermal (all cases : to be modified)
621 ! attention ajout therm(i) = virtuelle
622 790372 the_th(i) = th_th(i) + therm(i) + rlvcp*qt_th(i)
623 ! ou: The_th(i) = Th_th(i) + sqrt(b1)*khfs(i)/wm(i) + RLvCp*qT_th(i)
624 END DO
625
626 ! Main level loop to compute the diffusivities and
627 ! counter-gradient terms:
628
629
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74880 DO k = 2, isommet
630
631 ! Find levels within boundary layer:
632
633
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30034136 DO i = 1, knon
634 29961176 unslev(i) = .FALSE.
635 29961176 stblev(i) = .FALSE.
636 29961176 zm(i) = z(i, k-1)
637 29961176 zp(i) = z(i, k)
638 IF (zkmin==0.0 .AND. zp(i)>pblh(i)) zp(i) = pblh(i)
639
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30034136 IF (zm(i)<pblh(i)) THEN
640 3674587 zmzp = 0.5*(zm(i)+zp(i))
641 ! debug
642 ! if (i.EQ.1864) then
643 ! print*,'i,pblh(1864),obklen(1864)',i,pblh(i),obklen(i)
644 ! endif
645
646 3674587 zh(i) = zmzp/pblh(i)
647 3674587 zl(i) = zmzp*unsobklen(i)
648 3674587 zzh(i) = 0.
649
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3674587 IF (zh(i)<=1.0) zzh(i) = (1.-zh(i))**2
650
651 ! stblev for points zm < plbh and stable and neutral
652 ! unslev for points zm < plbh and unstable
653
654
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3674587 IF (unstbl(i)) THEN
655 2888851 unslev(i) = .TRUE.
656 ELSE
657 785736 stblev(i) = .TRUE.
658 END IF
659 END IF
660 END DO
661 ! print*,'fin calcul niveaux'
662
663 ! Stable and neutral points; set diffusivities; counter-gradient
664 ! terms zero for stable case:
665
666
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667
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30034136 IF (stblev(i)) THEN
668
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785736 IF (zl(i)<=1.) THEN
669 223565 pblk(i) = fak1(i)*zh(i)*zzh(i)/(1.+betas*zl(i))
670 ELSE
671 562171 pblk(i) = fak1(i)*zh(i)*zzh(i)/(betas+zl(i))
672 END IF
673 ! pcfm(i,k) = pblk(i)
674 ! pcfh(i,k) = pcfm(i,k)
675 END IF
676 END DO
677
678 ! unssrf, unstable within surface layer of pbl
679 ! unsout, unstable within outer layer of pbl
680
681
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30034136 DO i = 1, knon
682 29961176 unssrf(i) = .FALSE.
683 29961176 unsout(i) = .FALSE.
684
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685
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2888851 IF (zh(i)<sffrac) THEN
686 431477 unssrf(i) = .TRUE.
687 ELSE
688 2457374 unsout(i) = .TRUE.
689 END IF
690 END IF
691 END DO
692
693 ! Unstable for surface layer; counter-gradient terms zero
694
695
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696
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30034136 IF (unssrf(i)) THEN
697 431477 term = (1.-betam*zl(i))**onet
698 431477 pblk(i) = fak1(i)*zh(i)*zzh(i)*term
699 431477 pr(i) = term/sqrt(1.-betah*zl(i))
700 END IF
701 END DO
702 ! print*,'fin counter-gradient terms zero'
703
704 ! Unstable for outer layer; counter-gradient terms non-zero:
705
706
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707
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30034136 IF (unsout(i)) THEN
708 2457374 pblk(i) = fak2(i)*zh(i)*zzh(i)
709 ! cgs(i,k) = fak3(i)/(pblh(i)*wm(i))
710 ! cgh(i,k) = khfs(i)*cgs(i,k)
711 2457374 pr(i) = phiminv(i)/phihinv(i) + ccon*fak3(i)/fak
712 ! cgq(i,k) = kqfs(i)*cgs(i,k)
713 END IF
714 END DO
715 ! print*,'fin counter-gradient terms non zero'
716
717 ! For all unstable layers, compute diffusivities and ctrgrad ter m
718
719 ! DO i = 1, knon
720 ! IF (unslev(i)) THEN
721 ! pcfm(i,k) = pblk(i)
722 ! pcfh(i,k) = pblk(i)/pr(i)
723 ! etc cf original
724 ! ENDIF
725 ! ENDDO
726
727 ! For all layers, compute integral info and CTEI
728
729
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730
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30034136 IF (check(i) .OR. omegafl(i)) THEN
731
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29961176 IF (.NOT. zsat(i)) THEN
732 ! Th2 = The_th(i) - RLvCp*qT_th(i)
733 2166523 th2 = th_th(i)
734 2166523 t2 = th2*s(i, k)
735 ! thermodyn functions
736 2166523 zdelta = max(0., sign(1.,rtt-t2))
737 2166523 qqsat = r2es*foeew(t2, zdelta)/pplay(i, k)
738 2166523 qqsat = min(0.5, qqsat)
739 2166523 zcor = 1./(1.-retv*qqsat)
740 2166523 qqsat = qqsat*zcor
741
742
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2166523 IF (qqsat<qt_th(i)) THEN
743 ! on calcule lcl
744
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788452 IF (k==2) THEN
745 346404 plcl(i) = z(i, k)
746 ELSE
747 plcl(i) = z(i, k-1) + (z(i,k-1)-z(i,k))*(qt_th(i)&
748 442048 -qsatbef(i))/(qsatbef(i)-qqsat)
749 END IF
750 788452 zsat(i) = .TRUE.
751 788452 tbef(i) = t2
752 END IF
753
754 2166523 qsatbef(i) = qqsat ! bug dans la version orig ???
755 END IF
756 ! amn ???? cette ligne a deja ete faite normalement ?
757 END IF
758 ! print*,'hbtm2 i,k=',i,k
759 END DO
760 END DO ! end of level loop
761 ! IM 170305 BEG
762 IF (1==0) THEN
763 PRINT *, 'hbtm2 ok'
764 END IF !(1.EQ.0) THEN
765 ! IM 170305 END
766
767 1920 END SUBROUTINE hbtm
768
769 end module hbtm_mod
770