source: LMDZ6/trunk/libf/phylmd/coare30_flux_cnrm_mod.f90 @ 5433

Last change on this file since 5433 was 5285, checked in by abarral, 2 months ago

As discussed internally, remove generic ONLY: ... for new _mod_h modules
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1!SFX_LIC Copyright 1994-2014 CNRS, Meteo-France and Universite Paul Sabatier
2!SFX_LIC This is part of the SURFEX software governed by the CeCILL-C licence
3!SFX_LIC version 1. See LICENSE, CeCILL-C_V1-en.txt and CeCILL-C_V1-fr.txt 
4!SFX_LIC for details. version 1.
5!     #########
6
7module coare30_flux_cnrm_mod
8  implicit none
9  private
10  public COARE30_FLUX_CNRM
11
12contains
13
14
15SUBROUTINE COARE30_FLUX_CNRM(PZ0SEA,PTA,PSST,PQA,  &
16            PVMOD,PZREF,PUREF,PPS,PQSATA,PQSAT,PSFTH,PSFTQ,PUSTAR,PCD,PCDN,PCH,PCE,PRI,&
17            PRESA,PRAIN,PPA,PZ0HSEA,LPRECIP, LPWG,coeffs )
18!     #######################################################################
19!
20!
21!!****  *COARE25_FLUX*
22!!
23!!    PURPOSE
24!!    -------
25!      Calculate the surface fluxes of heat, moisture, and momentum over
26!      sea surface with bulk algorithm COARE3.0.
27!
28!!**  METHOD
29!!    ------
30!      transfer coefficients were obtained using a dataset which combined COARE
31!      data with those from three other ETL field experiments, and reanalysis of
32!      the HEXMAX data (DeCosmos et al. 1996).
33!      ITERMAX=3
34!      Take account of the surface gravity waves on the velocity roughness and
35!      hence the momentum transfer coefficient
36!        NGRVWAVES=0 no gravity waves action (Charnock) !default value
37!        NGRVWAVES=1 wave age parameterization of Oost et al. 2002
38!        NGRVWAVES=2 model of Taylor and Yelland 2001
39!
40!!    EXTERNAL
41!!    --------
42!!
43!!    IMPLICIT ARGUMENTS
44!!    ------------------
45!!
46!!    REFERENCE
47!!    ---------
48!!      Fairall et al (2003), J. of Climate, vol. 16, 571-591
49!!      Fairall et al (1996), JGR, 3747-3764
50!!      Gosnell et al (1995), JGR, 437-442
51!!      Fairall et al (1996), JGR, 1295-1308
52!!
53!!    AUTHOR
54!!    ------
55!!     C. Lebeaupin  *Météo-France* (adapted from C. Fairall's code)
56!!
57!!    MODIFICATIONS
58!!    -------------
59!!      Original     1/06/2006
60!!      B. Decharme    06/2009 limitation of Ri
61!!      B. Decharme    09/2012 Bug in Ri calculation and limitation of Ri in surface_ri.F90
62!!      B. Decharme    06/2013 bug in z0 (output) computation
63!!      J.Escobar      06/2013  for REAL4/8 add EPSILON management
64!!      C. Lebeaupin   03/2014 bug if PTA=PSST and PEXNA=PEXNS: set a minimum value
65!!                             add abort if no convergence
66!-------------------------------------------------------------------------------
67!
68!*       0.     DECLARATIONS
69!               ------------
70!
71!
72USE clesphys_mod_h
73!USE MODD_SEAFLUX_n, ONLY : SEAFLUX_t
74!
75
76!----------Rajout Olive ---------
77USE dimphy
78USE indice_sol_mod
79USE coare_cp_mod, ONLY: PSIFCTT=>psit_30, PSIFCTU=>psiuo
80
81!--------------------------------
82
83USE MODD_CSTS,       ONLY : XKARMAN, XG, XSTEFAN, XRD, XRV, XPI, &
84                            XLVTT, XCL, XCPD, XCPV, XRHOLW, XTT, &
85                            XP00
86
87!USE MODD_SURF_ATM,   ONLY : XVZ0CM
88!
89!USE MODD_SURF_PAR,   ONLY : XUNDEF, XSURF_EPSILON
90!USE MODD_WATER_PAR
91!
92!USE MODI_SURFACE_RI
93!USE MODI_WIND_THRESHOLD
94!USE MODE_COARE30_PSI
95!
96!USE MODE_THERMOS
97!
98!
99!USE MODI_ABOR1_SFX
100!
101!
102!USE YOMHOOK   ,ONLY : LHOOK,   DR_HOOK
103!USE PARKIND1  ,ONLY : JPRB
104USE yomcst_mod_h
105IMPLICIT NONE
106!
107!*      0.1    declarations of arguments
108!
109!
110!
111!TYPE(SEAFLUX_t), INTENT(INOUT) :: S
112!
113REAL, DIMENSION(klon), INTENT(IN)       :: PTA   ! air temperature at atm. level (K)
114REAL, DIMENSION(klon), INTENT(IN)       :: PQA   ! air humidity at atm. level (kg/kg)
115!REAL, DIMENSION(:), INTENT(IN)       :: PEXNA ! Exner function at atm. level
116!REAL, DIMENSION(:), INTENT(IN)       :: PRHOA ! air density at atm. level
117REAL, DIMENSION(klon), INTENT(IN)       :: PVMOD ! module of wind at atm. wind level (m/s)
118REAL, DIMENSION(klon), INTENT(IN)       :: PZREF ! atm. level for temp. and humidity (m)
119REAL, DIMENSION(klon), INTENT(IN)       :: PUREF ! atm. level for wind (m)
120REAL, DIMENSION(klon), INTENT(IN)       :: PSST  ! Sea Surface Temperature (K)
121!REAL, DIMENSION(:), INTENT(IN)       :: PEXNS ! Exner function at sea surface
122REAL, DIMENSION(klon), INTENT(IN)       :: PPS   ! air pressure at sea surface (Pa)
123REAL, DIMENSION(klon), INTENT(IN)       :: PRAIN !precipitation rate (kg/s/m2)
124REAL, DIMENSION(klon), INTENT(IN)       :: PPA        ! air pressure at atm level (Pa)
125REAL, DIMENSION(klon), INTENT(IN)       :: PQSATA        ! air pressure at atm level (Pa)
126!
127REAL, DIMENSION(klon), INTENT(INOUT)    :: PZ0SEA! roughness length over the ocean
128!
129!  surface fluxes : latent heat, sensible heat, friction fluxes
130REAL, DIMENSION(klon), INTENT(OUT)      :: PSFTH ! heat flux (W/m2)
131REAL, DIMENSION(klon), INTENT(OUT)      :: PSFTQ ! water flux (kg/m2/s)
132REAL, DIMENSION(klon), INTENT(OUT)      :: PUSTAR! friction velocity (m/s)
133!
134! diagnostics
135REAL, DIMENSION(klon), INTENT(OUT)      :: PQSAT ! humidity at saturation
136REAL, DIMENSION(klon), INTENT(OUT)      :: PCD   ! heat drag coefficient
137REAL, DIMENSION(klon), INTENT(OUT)      :: PCDN  ! momentum drag coefficient
138REAL, DIMENSION(klon), INTENT(OUT)      :: PCH   ! neutral momentum drag coefficient
139REAL, DIMENSION(klon), INTENT(OUT)      :: PCE  !transfer coef. for latent heat flux
140REAL, DIMENSION(klon), INTENT(OUT)      :: PRI   ! Richardson number
141REAL, DIMENSION(klon), INTENT(OUT)      :: PRESA ! aerodynamical resistance
142REAL, DIMENSION(klon), INTENT(OUT)      :: PZ0HSEA ! heat roughness length
143
144LOGICAL,            INTENT(IN)    :: LPRECIP   !
145LOGICAL,            INTENT(IN)    :: LPWG    !
146real, dimension(3), intent(inout)      :: coeffs
147
148!*      0.2    declarations of local variables
149!
150REAL, DIMENSION(SIZE(PTA))      :: ZVMOD    ! wind intensity
151REAL, DIMENSION(SIZE(PTA))      :: ZPA      ! Pressure at atm. level
152REAL, DIMENSION(SIZE(PTA))      :: ZTA      ! Temperature at atm. level
153REAL, DIMENSION(SIZE(PTA))      :: ZQASAT   ! specific humidity at saturation  at atm. level (kg/kg)
154!
155!rajout
156REAL, DIMENSION(SIZE(PTA))       :: PEXNA      ! Exner function at atm level
157REAL, DIMENSION(SIZE(PTA))       :: PEXNS      ! Exner function at atm level
158!
159REAL, DIMENSION(SIZE(PTA))      :: ZO       ! rougness length ref
160REAL, DIMENSION(SIZE(PTA))      :: ZWG      ! gustiness factor (m/s)
161!
162REAL, DIMENSION(SIZE(PTA))      :: ZDU,ZDT,ZDQ,ZDUWG !differences
163!
164REAL, DIMENSION(SIZE(PTA))      :: ZUSR        !velocity scaling parameter "ustar" (m/s) = friction velocity
165REAL, DIMENSION(SIZE(PTA))      :: ZTSR        !temperature sacling parameter "tstar" (degC)
166REAL, DIMENSION(SIZE(PTA))      :: ZQSR        !humidity scaling parameter "qstar" (kg/kg)
167!
168REAL, DIMENSION(SIZE(PTA))      :: ZU10,ZT10   !vertical profils (10-m height)
169REAL, DIMENSION(SIZE(PTA))      :: ZVISA       !kinematic viscosity of dry air
170REAL, DIMENSION(SIZE(PTA))      :: ZO10,ZOT10  !roughness length at 10m
171REAL, DIMENSION(SIZE(PTA))      :: ZCD,ZCT,ZCC
172REAL, DIMENSION(SIZE(PTA))      :: ZCD10,ZCT10 !transfer coef. at 10m
173REAL, DIMENSION(SIZE(PTA))      :: ZRIBU,ZRIBCU
174REAL, DIMENSION(SIZE(PTA))      :: ZETU,ZL10
175!
176REAL, DIMENSION(SIZE(PTA))      :: ZCHARN                      !Charnock number depends on wind module
177REAL, DIMENSION(SIZE(PTA))      :: ZTWAVE,ZHWAVE,ZCWAVE,ZLWAVE !to compute gravity waves' impact
178!
179REAL, DIMENSION(SIZE(PTA))      :: ZZL,ZZTL!,ZZQL    !Obukhovs stability
180                                                     !param. z/l for u,T,q
181REAL, DIMENSION(SIZE(PTA))      :: ZRR
182REAL, DIMENSION(SIZE(PTA))      :: ZOT,ZOQ           !rougness length ref
183REAL, DIMENSION(SIZE(PTA))      :: ZPUZ,ZPTZ,ZPQZ    !PHI funct. for u,T,q
184!
185REAL, DIMENSION(SIZE(PTA))      :: ZBF               !constants to compute gustiness factor
186!
187REAL, DIMENSION(SIZE(PTA))      :: ZTAU       !momentum flux (W/m2)
188REAL, DIMENSION(SIZE(PTA))      :: ZHF        !sensible heat flux (W/m2)
189REAL, DIMENSION(SIZE(PTA))      :: ZEF        !latent heat flux (W/m2)
190REAL, DIMENSION(SIZE(PTA))      :: ZWBAR      !diag for webb correction but not used here after
191REAL, DIMENSION(SIZE(PTA))      :: ZTAUR      !momentum flux due to rain (W/m2)
192REAL, DIMENSION(SIZE(PTA))      :: ZRF        !sensible heat flux due to rain (W/m2)
193REAL, DIMENSION(SIZE(PTA))      :: ZCHN,ZCEN  !neutral coef. for heat and vapor
194!
195REAL, DIMENSION(SIZE(PTA))      :: ZLV      !latent heat constant
196!
197REAL, DIMENSION(SIZE(PTA))      :: ZTAC,ZDQSDT,ZDTMP,ZDWAT,ZALFAC ! for precipitation impact
198REAL, DIMENSION(SIZE(PTA))      :: ZXLR                           ! vaporisation  heat  at a given temperature
199REAL, DIMENSION(SIZE(PTA))      :: ZCPLW                          ! specific heat for water at a given temperature
200!
201REAL, DIMENSION(SIZE(PTA))      :: ZUSTAR2  ! square of friction velocity
202!
203REAL, DIMENSION(SIZE(PTA))      :: ZDIRCOSZW! orography slope cosine (=1 on water!)
204REAL, DIMENSION(SIZE(PTA))      :: ZAC      ! Aerodynamical conductance
205!
206!
207INTEGER, DIMENSION(SIZE(PTA))   :: ITERMAX             ! maximum number of iterations
208!
209REAL    :: ZRVSRDM1,ZRDSRV,ZR2 ! thermodynamic constants
210REAL    :: ZBETAGUST           !gustiness factor
211REAL    :: ZZBL                !atm. boundary layer depth (m)
212REAL    :: ZVISW               !m2/s kinematic viscosity of water
213REAL    :: ZS                  !height of rougness length ref
214REAL    :: ZCH10               !transfer coef. at 10m
215
216REAL    :: QSAT_SEAWATER
217REAL    :: QSATSEAW_1D
218!
219INTEGER :: J, JLOOP    !loop indice
220!REAL(KIND=JPRB) :: ZHOOK_HANDLE
221
222!--------- Modif Olive -----------------
223REAL, DIMENSION(SIZE(PTA))        :: PRHOA
224REAL, PARAMETER                   :: XUNDEF = 1.E+20
225
226REAL       :: XVCHRNK = 0.021
227REAL       :: XVZ0CM = 1.0E-5
228!REAL       :: XRIMAX
229
230
231INTEGER :: PREF             ! reference pressure for exner function
232INTEGER :: NGRVWAVES        ! Pour le choix du z0
233
234
235!--------------------------------------
236
237
238PRHOA(:) = PPS(:) / (287.1 * PTA(:) * (1.+.61*PQA(:)))
239
240PREF = 100000.                     ! = 1000 hPa
241NGRVWAVES = 1
242
243PEXNA = (PPA/PREF)**(RD/RCPD)
244PEXNS = (PPS/PREF)**(RD/RCPD)
245
246!
247!-------------------------------------------------------------------------------
248!
249!       1.     Initializations
250!              ---------------
251!
252!       1.1   Constants and parameters
253!
254!IF (LHOOK) CALL DR_HOOK('COARE30_FLUX',0,ZHOOK_HANDLE)
255!
256ZRVSRDM1  = XRV/XRD-1. ! 0.607766
257ZRDSRV    = XRD/XRV    ! 0.62198
258ZR2       = 1.-ZRDSRV  ! pas utilisé dans cette routine
259ZBETAGUST = 1.2        ! value based on TOGA-COARE experiment
260ZZBL      = 600.       ! Set a default value for boundary layer depth
261ZS        = 10.        ! Standard heigth =10m
262ZCH10     = 0.00115
263!
264ZVISW     = 1.E-6
265!
266!       1.2   Array initialization by undefined values
267!
268PSFTH (:)=XUNDEF
269PSFTQ (:)=XUNDEF
270PUSTAR(:)=XUNDEF
271!
272PCD(:) = XUNDEF
273PCDN(:) = XUNDEF
274PCH(:) = XUNDEF
275PCE(:) =XUNDEF
276PRI(:) = XUNDEF
277!
278PRESA(:)=XUNDEF
279!
280!-------------------------------------------------------------------------------
281!       2. INITIAL GUESS FOR THE ITERATIVE METHOD
282!          -------------------------------------
283!
284!       2.0     Temperature
285!
286! Set a non-zero value for the temperature gradient
287!
288WHERE((PTA(:)*PEXNS(:)/PEXNA(:)-PSST(:))==0.)
289      ZTA(:)=PTA(:)-1E-3
290ELSEWHERE
291      ZTA(:)=PTA(:)
292ENDWHERE
293
294!       2.1     Wind and humidity
295!
296! Sea surface specific humidity
297!
298!PQSAT(:)=QSAT_SEAWATER(PSST(:),PPS(:))
299PQSAT(:)=QSATSEAW_1D(PSST(:),PPS(:))
300
301
302
303!
304! Set a minimum value to wind
305!
306!ZVMOD(:) = WIND_THRESHOLD(PVMOD(:),PUREF(:))
307
308
309ZVMOD = MAX(PVMOD , 0.1 * MIN(10.,PUREF) )    !set a minimum value to wind
310!ZVMOD = PVMOD    !set a minimum value to wind
311
312!
313! Specific humidity at saturation at the atm. level
314!
315ZPA(:) = XP00* (PEXNA(:)**(XCPD/XRD))
316!ZQASAT(:) = QSAT_SEAWATER(ZTA(:),ZPA(:))
317ZQASAT = QSATSEAW_1D(ZTA(:),ZPA(:))
318
319
320!
321!
322ZO(:)  = 0.0001
323ZWG(:) = 0.
324IF (LPWG) ZWG(:) = 0.5
325!
326ZCHARN(:) = 0.011
327!
328DO J=1,SIZE(PTA)
329  !
330  !      2.2       initial guess
331  !
332  ZDU(J) = ZVMOD(J)   !wind speed difference with surface current(=0) (m/s)
333                      !initial guess for gustiness factor
334  ZDT(J) = -(ZTA(J)/PEXNA(J)) + (PSST(J)/PEXNS(J)) !potential temperature difference
335  ZDQ(J) = PQSAT(J)-PQA(J)                         !specific humidity difference
336  !
337  ZDUWG(J) = SQRT(ZDU(J)**2+ZWG(J)**2)     !wind speed difference including gustiness ZWG
338  !
339  !      2.3   initialization of neutral coefficients
340  !
341  ZU10(J)  = ZDUWG(J)*LOG(ZS/ZO(J))/LOG(PUREF(J)/ZO(J))
342  ZUSR(J)  = 0.035*ZU10(J)
343  ZVISA(J) = 1.326E-5*(1.+6.542E-3*(ZTA(J)-XTT)+&
344             8.301E-6*(ZTA(J)-XTT)**2-4.84E-9*(ZTA(J)-XTT)**3) !Andrea (1989) CRREL Rep. 89-11
345  !
346  ZO10(J) = ZCHARN(J)*ZUSR(J)*ZUSR(J)/XG+0.11*ZVISA(J)/ZUSR(J)
347  ZCD(J)  = (XKARMAN/LOG(PUREF(J)/ZO10(J)))**2  !drag coefficient
348  ZCD10(J)= (XKARMAN/LOG(ZS/ZO10(J)))**2
349  ZCT10(J)= ZCH10/SQRT(ZCD10(J))
350  ZOT10(J)= ZS/EXP(XKARMAN/ZCT10(J))
351  !
352  !-------------------------------------------------------------------------------
353  !             Grachev and Fairall (JAM, 1997)
354  ZCT(J) = XKARMAN/LOG(PZREF(J)/ZOT10(J))      !temperature transfer coefficient
355  ZCC(J) = XKARMAN*ZCT(J)/ZCD(J)               !z/L vs Rib linear coef.
356  !
357  ZRIBCU(J) = -PUREF(J)/(ZZBL*0.004*ZBETAGUST**3) !saturation or plateau Rib
358  !ZRIBU(J) =-XG*PUREF(J)*(ZDT(J)+ZRVSRDM1*(ZTA(J)-XTT)*ZDQ)/&
359  !     &((ZTA(J)-XTT)*ZDUWG(J)**2)
360  ZRIBU(J)  = -XG*PUREF(J)*(ZDT(J)+ZRVSRDM1*ZTA(J)*ZDQ(J))/&
361               (ZTA(J)*ZDUWG(J)**2)
362  !
363  IF (ZRIBU(J)<0.) THEN
364    ZETU(J) = ZCC(J)*ZRIBU(J)/(1.+ZRIBU(J)/ZRIBCU(J))    !Unstable G and F
365  ELSE
366    ZETU(J) = ZCC(J)*ZRIBU(J)/(1.+27./9.*ZRIBU(J)/ZCC(J))!Stable
367  ENDIF
368  !
369  ZL10(J) = PUREF(J)/ZETU(J) !MO length
370  !
371ENDDO
372!
373!  First guess M-O stability dependent scaling params. (u*,T*,q*) to estimate ZO and z/L (ZZL)
374ZUSR(:) = ZDUWG(:)*XKARMAN/(LOG(PUREF(:)/ZO10(:))-PSIFCTU(PUREF(1)/ZL10(1)))
375ZTSR(:) = -ZDT(:)*XKARMAN/(LOG(PZREF(:)/ZOT10(:))-PSIFCTT(PZREF(1)/ZL10(1)))
376ZQSR(:) = -ZDQ(:)*XKARMAN/(LOG(PZREF(:)/ZOT10(:))-PSIFCTT(PZREF(1)/ZL10(1)))
377!
378ZZL(:) = 0.0
379!
380DO J=1,SIZE(PTA)
381  !
382  IF (ZETU(J)>50.) THEN
383    ITERMAX(J) = 1
384  ELSE
385    ITERMAX(J) = 3 !number of iterations
386  ENDIF
387  !
388  !then modify Charnork for high wind speeds Chris Fairall's data
389  IF (ZDUWG(J)>10.) ZCHARN(J) = 0.011 + (0.018-0.011)*(ZDUWG(J)-10.)/(18.-10.)
390  IF (ZDUWG(J)>18.) ZCHARN(J) = 0.018
391  !
392  !                3.  ITERATIVE LOOP TO COMPUTE USR, TSR, QSR
393  !                -------------------------------------------
394  !
395  ZHWAVE(J) = 0.018*ZVMOD(J)*ZVMOD(J)*(1.+0.015*ZVMOD(J))
396  ZTWAVE(J) = 0.729*ZVMOD(J)
397  ZCWAVE(J) = XG*ZTWAVE(J)/(2.*XPI)
398  ZLWAVE(J) = ZTWAVE(J)*ZCWAVE(J)
399  !
400ENDDO
401!
402
403!
404DO JLOOP=1,MAXVAL(ITERMAX) ! begin of iterative loop
405  !
406  DO J=1,SIZE(PTA)
407    !
408    IF (JLOOP>ITERMAX(J)) CYCLE
409    !
410    IF (NGRVWAVES==0) THEN
411      ZO(J) = ZCHARN(J)*ZUSR(J)*ZUSR(J)/XG + 0.11*ZVISA(J)/ZUSR(J) !Smith 1988
412    ELSE IF (NGRVWAVES==1) THEN
413      ZO(J) = (50./(2.*XPI))*ZLWAVE(J)*(ZUSR(J)/ZCWAVE(J))**4.5 &
414              + 0.11*ZVISA(J)/ZUSR(J)                       !Oost et al. 2002
415    ELSE IF (NGRVWAVES==2) THEN
416      ZO(J) = 1200.*ZHWAVE(J)*(ZHWAVE(J)/ZLWAVE(J))**4.5 &
417              + 0.11*ZVISA(J)/ZUSR(J)                       !Taulor and Yelland 2001
418    ENDIF
419    !
420    ZRR(J) = ZO(J)*ZUSR(J)/ZVISA(J)
421    ZOQ(J) = MIN(1.15E-4 , 5.5E-5/ZRR(J)**0.6)
422    ZOT(J) = ZOQ(J)
423    !
424    ZZL(J) = XKARMAN * XG * PUREF(J) * &
425              ( ZTSR(J)*(1.+ZRVSRDM1*PQA(J)) + ZRVSRDM1*ZTA(J)*ZQSR(J) ) / &
426              ( ZTA(J)*ZUSR(J)*ZUSR(J)*(1.+ZRVSRDM1*PQA(J)) )
427    ZZTL(J)= ZZL(J)*PZREF(J)/PUREF(J)  ! for T
428!    ZZQL(J)=ZZL(J)*PZREF(J)/PUREF(J)  ! for Q
429  ENDDO
430  !
431  ZPUZ(:) = PSIFCTU(ZZL(1))
432  ZPTZ(:) = PSIFCTT(ZZTL(1))
433  !
434  DO J=1,SIZE(PTA)
435    !
436    ! ZPQZ(J)=PSIFCTT(ZZQL(J))
437    ZPQZ(J) = ZPTZ(J)
438    !
439    !             3.1 scale parameters
440    !
441    ZUSR(J) = ZDUWG(J)*XKARMAN/(LOG(PUREF(J)/ZO(J)) -ZPUZ(J))
442    ZTSR(J) = -ZDT(J)  *XKARMAN/(LOG(PZREF(J)/ZOT(J))-ZPTZ(J))
443    ZQSR(J) = -ZDQ(J)  *XKARMAN/(LOG(PZREF(J)/ZOQ(J))-ZPQZ(J))
444    !
445    !             3.2 Gustiness factor (ZWG)
446    !
447    IF(LPWG) THEN
448      ZBF(J) = -XG/ZTA(J)*ZUSR(J)*(ZTSR(J)+ZRVSRDM1*ZTA(J)*ZQSR(J))
449      IF (ZBF(J)>0.) THEN
450        ZWG(J) = ZBETAGUST*(ZBF(J)*ZZBL)**(1./3.)
451      ELSE
452        ZWG(J) = 0.2
453      ENDIF
454    ENDIF
455    ZDUWG(J) = SQRT(ZVMOD(J)**2 + ZWG(J)**2)
456    !
457  ENDDO
458  !
459ENDDO
460!-------------------------------------------------------------------------------
461!
462!            4.  COMPUTE transfer coefficients PCD, PCH, ZCE and SURFACE FLUXES
463!                --------------------------------------------------------------
464!
465ZTAU(:) = XUNDEF
466ZHF(:)  = XUNDEF
467ZEF(:)  = XUNDEF
468!
469ZWBAR(:) = 0.
470ZTAUR(:) = 0.
471ZRF(:)   = 0.
472!
473DO J=1,SIZE(PTA)
474  !
475  !
476  !            4. transfert coefficients PCD, PCH and PCE
477  !                 and neutral PCDN, ZCHN, ZCEN
478  !
479  PCD(J) = (ZUSR(J)/ZDUWG(J))**2.
480  PCH(J) = ZUSR(J)*ZTSR(J)/(ZDUWG(J)*(ZTA(J)*PEXNS(J)/PEXNA(J)-PSST(J)))
481  PCE(J) = ZUSR(J)*ZQSR(J)/(ZDUWG(J)*(PQA(J)-PQSAT(J)))
482  !
483  PCDN(J) = (XKARMAN/LOG(ZS/ZO(J)))**2.
484  ZCHN(J) = (XKARMAN/LOG(ZS/ZO(J)))*(XKARMAN/LOG(ZS/ZOT(J)))
485  ZCEN(J) = (XKARMAN/LOG(ZS/ZO(J)))*(XKARMAN/LOG(ZS/ZOQ(J)))
486  !
487  ZLV(J) = XLVTT + (XCPV-XCL)*(PSST(J)-XTT)
488  !
489  !            4. 2 surface fluxes
490  !
491  IF (ABS(PCDN(J))>1.E-2) THEN   !!!! secure COARE3.0 CODE
492    write(*,*) 'pb PCDN in COARE30: ',PCDN(J)
493    write(*,*) 'point: ',J,"/",SIZE(PTA)
494    write(*,*) 'roughness: ', ZO(J)
495    write(*,*) 'ustar: ',ZUSR(J)
496    write(*,*) 'wind: ',ZDUWG(J)
497    CALL abort_physic('COARE30',': PCDN too large -> no convergence',1)
498  ELSE
499    ZTSR(J) = -ZTSR(J)
500    ZQSR(J) = -ZQSR(J)
501    ZTAU(J) = -PRHOA(J)*ZUSR(J)*ZUSR(J)*ZVMOD(J)/ZDUWG(J)
502    ZHF(J)  =  PRHOA(J)*XCPD*ZUSR(J)*ZTSR(J)
503    ZEF(J)  =  PRHOA(J)*ZLV(J)*ZUSR(J)*ZQSR(J)
504    !
505    !           4.3 Contributions to surface  fluxes due to rainfall
506    !
507    ! SB: a priori, le facteur ZRDSRV=XRD/XRV est introduit pour
508    !     adapter la formule de Clausius-Clapeyron (pour l'air
509    !     sec) au cas humide.
510    IF (LPRECIP) THEN
511      !
512      ! heat surface  fluxes
513      !
514      ZTAC(J)  = ZTA(J)-XTT
515      !
516      ZXLR(J)  = XLVTT + (XCPV-XCL)* ZTAC(J)                            ! latent heat of rain vaporization
517      ZDQSDT(J)= ZQASAT(J) * ZXLR(J) / (XRD*ZTA(J)**2)                  ! Clausius-Clapeyron relation
518      ZDTMP(J) = (1.0 + 3.309e-3*ZTAC(J) -1.44e-6*ZTAC(J)*ZTAC(J)) * &  !heat diffusivity
519                  0.02411 / (PRHOA(J)*XCPD)
520      !
521      ZDWAT(J) = 2.11e-5 * (XP00/ZPA(J)) * (ZTA(J)/XTT)**1.94           ! water vapour diffusivity from eq (13.3)
522      !                                                                 ! of Pruppacher and Klett (1978)
523      ZALFAC(J)= 1.0 / (1.0 + &                                         ! Eq.11 in GoF95
524                   ZRDSRV*ZDQSDT(J)*ZXLR(J)*ZDWAT(J)/(ZDTMP(J)*XCPD))   ! ZALFAC=wet-bulb factor (sans dim)
525      ZCPLW(J) = 4224.8482 + ZTAC(J) * &
526                              ( -4.707 + ZTAC(J) * &
527                                (0.08499 + ZTAC(J) * &
528                                  (1.2826e-3 + ZTAC(J) * &
529                                    (4.7884e-5 - 2.0027e-6* ZTAC(J))))) ! specific heat
530      !
531      ZRF(J)   = PRAIN(J) * ZCPLW(J) * ZALFAC(J) * &                    !Eq.12 in GoF95 !SIGNE?
532                   (PSST(J) - ZTA(J) + (PQSAT(J)-PQA(J))*ZXLR(J)/XCPD )
533      !
534      ! Momentum flux due to rainfall
535      !
536      ZTAUR(J)=-0.85*(PRAIN(J) *ZVMOD(J)) !pp3752 in FBR96
537      !
538    ENDIF
539    !
540    !             4.4   Webb correction to latent heat flux
541    !
542    ZWBAR(J)=- (1./ZRDSRV)*ZUSR(J)*ZQSR(J) / (1.0+(1./ZRDSRV)*PQA(J)) &
543               - ZUSR(J)*ZTSR(J)/ZTA(J)                        ! Eq.21*rhoa in FBR96
544    !
545    !             4.5   friction velocity which contains correction du to rain
546    !
547    ZUSTAR2(J)= - (ZTAU(J) + ZTAUR(J)) / PRHOA(J)
548    PUSTAR(J) =  SQRT(ZUSTAR2(J))
549    !
550    !             4.6   Total surface fluxes
551    !
552    PSFTH (J) =  ZHF(J) + ZRF(J)
553    PSFTQ (J) =  ZEF(J) / ZLV(J)
554    !
555  ENDIF
556ENDDO
557
558
559coeffs = [PCD,&
560       PCE,&
561       PCH]
562
563!-------------------------------------------------------------------------------
564!
565!       5.  FINAL STEP : TOTAL SURFACE FLUXES AND DERIVED DIAGNOSTICS
566!           -----------
567!       5.1    Richardson number
568!
569!
570!------------STOP LA --------------------
571!ZDIRCOSZW(:) = 1.
572! CALL SURFACE_RI(PSST,PQSAT,PEXNS,PEXNA,ZTA,ZQASAT,&
573!                PZREF,PUREF,ZDIRCOSZW,PVMOD,PRI   )
574!!
575!!       5.2     Aerodynamical conductance and resistance
576!!
577!ZAC(:) = PCH(:)*ZVMOD(:)
578!PRESA(:) = 1. / MAX(ZAC(:),XSURF_EPSILON)
579!
580!!       5.3 Z0 and Z0H over sea
581!!
582!PZ0SEA(:) =  ZCHARN(:) * ZUSTAR2(:) / XG + XVZ0CM * PCD(:) / PCDN(:)
583!!
584!!PZ0HSEA(:) = PZ0SEA(:)
585!!
586!IF (LHOOK) CALL DR_HOOK('COARE30_FLUX',1,ZHOOK_HANDLE)
587!
588!-------------------------------------------------------------------------------
589!
590END SUBROUTINE COARE30_FLUX_CNRM
591
592end module coare30_flux_cnrm_mod
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