Skip to content
Snippets Groups Projects
compute_entr_detr.F90 18.6 KiB
Newer Older
  • Learn to ignore specific revisions
  • 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426
    !     ######spl
              SUBROUTINE COMPUTE_ENTR_DETR(KK,KKB,KKE,KKL,OTEST,OTESTLCL,&
                                HFRAC_ICE,PFRAC_ICE,PRHODREF,&
                                PPRE_MINUS_HALF,&
                                PPRE_PLUS_HALF,PZZ,PDZZ,&
                                PTHVM,PTHLM,PRTM,PW_UP2,PTH_UP,&
                                PTHL_UP,PRT_UP,PLUP,&
                                PRC_UP,PRI_UP,PTHV_UP,&
                                PRSAT_UP,PRC_MIX,PRI_MIX,      &
                                PENTR,PDETR,PENTR_CLD,PDETR_CLD,&
                                PBUO_INTEG_DRY,PBUO_INTEG_CLD,&
                                PPART_DRY)
    
              USE PARKIND1, ONLY : JPRB
              USE YOMHOOK , ONLY : LHOOK, DR_HOOK
    !         #############################################################
    
    !!
    !!***COMPUTE_ENTR_DETR* - calculates caracteristics of the updraft or downdraft
    !!                       using model of the EDMF scheme 
    !!
    !!    PURPOSE
    !!    -------
    !!****  The purpose of this routine is to compute entrainement and
    !!      detrainement at one level of the updraft
    !
    !!**  METHOD
    !!    ------
    !!
    !!    EXTERNAL
    !!    --------
    !!      
    !!    IMPLICIT ARGUMENTS
    !!    ------------------
    !!
    !!     REFERENCE
    !!     ---------
    !!       Book 1 of Meso-NH documentation (chapter Convection)
    !!       
    !!
    !!     AUTHOR
    !!     ------
    !!    J.Pergaud : 2009
    !!
    !!    MODIFICATIONS
    !!    -------------
    !!      Y.Seity (06/2010) Bug correction
    !!      V.Masson (09/2010) Optimization
    !!      S. Riette april 2011 : ice added, protection against zero divide by Yves Bouteloup
    !!                             protection against too big ZPART_DRY, interface modified
    !!      S. Riette Jan 2012: support for both order of vertical levels
    !!      P.Marguinaud Jun 2012: fix uninitialized variable
    !!      P.Marguinaud Nov 2012: fix gfortran bug
    !!      S. Riette Apr 2013: bugs correction, rewriting (for optimisation) and
    !!                          improvement of continuity at the condensation level
    !!      S. Riette Nov 2013: protection against zero divide for min value of dry PDETR
    !!      R. El Khatib 29-Apr-2019 portability fix : compiler may get confused by embricked WHERE statements
    !!                          eventually breaking tests with NaN initializations at compile time.
    !!                          Replace by IF conditions and traditional DO loops can only improve the performance.
    !! --------------------------------------------------------------------------
    !
    !*      0. DECLARATIONS
    !          ------------
    !                         
    USE MODD_CST
    !
    USE MODD_CMFSHALL
    !
    USE MODI_TH_R_FROM_THL_RT_1D 
    
    USE MODE_THERMO
    
    IMPLICIT NONE
    !
    !                         
    !*                    1.1  Declaration of Arguments
    !
    !
    INTEGER,                INTENT(IN)   :: KK
    INTEGER,                INTENT(IN)   :: KKB          ! near ground physical index
    INTEGER,                INTENT(IN)   :: KKE          ! uppest atmosphere physical index
    INTEGER,                INTENT(IN)   :: KKL          ! +1 if grid goes from ground to atmosphere top, -1 otherwise
    LOGICAL,DIMENSION(:),   INTENT(IN)   :: OTEST ! test to see if updraft is running
    LOGICAL,DIMENSION(:),   INTENT(IN)   :: OTESTLCL !test of condensation 
    CHARACTER*1,            INTENT(IN)   :: HFRAC_ICE ! frac_ice can be compute using
                                                  ! Temperature (T) or prescribed
                                                  ! (Y)
    REAL, DIMENSION(:), INTENT(IN)      :: PFRAC_ICE ! fraction of ice
    !
    !    prognostic variables at t- deltat
    !
    REAL, DIMENSION(:),     INTENT(IN) ::  PRHODREF  !rhodref
    REAL, DIMENSION(:),     INTENT(IN) ::  PPRE_MINUS_HALF ! Pressure at flux level KK
    REAL, DIMENSION(:),     INTENT(IN) ::  PPRE_PLUS_HALF ! Pressure at flux level KK+KKL
    REAL, DIMENSION(:,:),   INTENT(IN) ::  PZZ       !  Height at the flux point
    REAL, DIMENSION(:,:),   INTENT(IN) ::  PDZZ       !  metrics coefficient
    REAL, DIMENSION(:,:),   INTENT(IN) ::  PTHVM      ! ThetaV environment 
    
    !
    !   thermodynamical variables which are transformed in conservative var.
    !
    REAL, DIMENSION(:,:), INTENT(IN)     ::  PTHLM     ! Thetal
    REAL, DIMENSION(:,:), INTENT(IN)     ::  PRTM      ! total mixing ratio 
    REAL, DIMENSION(:,:), INTENT(IN)     ::  PW_UP2    ! Vertical velocity^2
    REAL, DIMENSION(:),   INTENT(IN)     ::  PTH_UP,PTHL_UP,PRT_UP  ! updraft properties
    REAL, DIMENSION(:),   INTENT(IN)     ::  PLUP      ! LUP compute from the ground
    REAL, DIMENSION(:),   INTENT(IN)     ::  PRC_UP,PRI_UP   ! Updraft cloud content
    REAL, DIMENSION(:),   INTENT(IN)     ::  PTHV_UP ! Thetav of updraft
    REAL, DIMENSION(:),   INTENT(IN)     ::  PRSAT_UP ! Mixing ratio at saturation in updraft
    REAL, DIMENSION(:),   INTENT(INOUT)  ::  PRC_MIX, PRI_MIX      ! Mixture cloud content
    REAL, DIMENSION(:),   INTENT(OUT)    ::  PENTR     ! Mass flux entrainment of the updraft
    REAL, DIMENSION(:),   INTENT(OUT)    ::  PDETR     ! Mass flux detrainment of the updraft
    REAL, DIMENSION(:),   INTENT(OUT)    ::  PENTR_CLD ! Mass flux entrainment of the updraft in cloudy part
    REAL, DIMENSION(:),   INTENT(OUT)    ::  PDETR_CLD ! Mass flux detrainment of the updraft in cloudy part
    REAL, DIMENSION(:),   INTENT(OUT)    ::  PBUO_INTEG_DRY, PBUO_INTEG_CLD! Integral Buoyancy
    REAL, DIMENSION(:),   INTENT(OUT)    ::  PPART_DRY ! ratio of dry part at the transition level
    !
    !
    !                       1.2  Declaration of local variables
    !
    !
    
    ! Variables for cloudy part
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZKIC, ZKIC_F2  ! fraction of env. mass in the muxtures
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZEPSI,ZDELTA   ! factor entrainment detrainment
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZEPSI_CLOUD    ! factor entrainment detrainment
    REAL                           :: ZCOEFFMF_CLOUD ! factor for compputing entr. detr.
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZMIXTHL,ZMIXRT ! Thetal and rt in the mixtures
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZTHMIX         ! Theta and Thetav  of mixtures
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZRVMIX,ZRCMIX,ZRIMIX ! mixing ratios in mixtures
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZTHVMIX, ZTHVMIX_F2 ! Theta and Thetav  of mixtures
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZTHV_UP_F2     ! thv_up at flux point kk+kkl
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZRSATW, ZRSATI ! working arrays (mixing ratio at saturation)
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZTHV           ! theta V of environment at the bottom of cloudy part  
    REAL                           :: ZKIC_INIT      !Initial value of ZKIC
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZCOTHVU              ! Variation of Thvup between bottom and top of cloudy part
    
    ! Variables for dry part
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZFOESW, ZFOESI       ! saturating vapor pressure
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZDRSATODP            ! d.Rsat/dP
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZT                   ! Temperature
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZWK                  ! Work array
    
    ! Variables for dry and cloudy parts
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZCOEFF_MINUS_HALF,&  ! Variation of Thv between mass points kk-kkl and kk
                                      ZCOEFF_PLUS_HALF     ! Variation of Thv between mass points kk and kk+kkl
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZPRE                 ! pressure at the bottom of the cloudy part
    REAL, DIMENSION(SIZE(PTHVM,1)) :: ZG_O_THVREF
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZFRAC_ICE            ! fraction of ice
    REAL                           :: ZRVORD               ! RV/RD
    REAL, DIMENSION(SIZE(PTHLM,1)) :: ZDZ_STOP,&           ! Exact Height of the LCL above flux level KK
                                      ZTHV_MINUS_HALF,&    ! Thv at flux point(kk)  
                                      ZTHV_PLUS_HALF,&     ! Thv at flux point(kk+kkl)
                                      ZDZ                  ! Delta Z used in computations
    INTEGER :: JI
    
    !----------------------------------------------------------------------------------
                            
    !                1.3 Initialisation
      REAL(KIND=JPRB) :: ZHOOK_HANDLE
      IF (LHOOK) CALL DR_HOOK('COMPUTE_ENTR_DETR',0,ZHOOK_HANDLE)
    
      
      ZRVORD   = XRV / XRD   !=1.607
      ZG_O_THVREF(:)=XG/PTHVM(:,KK)
      ZCOEFFMF_CLOUD=XENTR_MF * XG / XCRAD_MF
      
      ZFRAC_ICE(:)=PFRAC_ICE(:) ! to not modify fraction of ice
     
      ZPRE(:)=PPRE_MINUS_HALF(:)
      ZMIXTHL(:)=0.1
      ZMIXRT(:)=0.1
    
    !                1.4 Estimation of PPART_DRY
      WHERE(OTEST)
        WHERE(OTESTLCL)
          !No dry part when condensation level is reached
          PPART_DRY(:)=0.
          ZDZ_STOP(:)=0.
          ZPRE(:)=PPRE_MINUS_HALF(:)
        ELSEWHERE
          !Temperature at flux level KK
          ZT(:)=PTH_UP(:)*(PPRE_MINUS_HALF(:)/XP00) ** (XRD/XCPD)
          !Saturating vapor pressure at flux level KK
          ZFOESW(:) = MIN(EXP( XALPW - XBETAW/ZT(:) - XGAMW*LOG(ZT(:))  ), 0.99*PPRE_MINUS_HALF(:))
          ZFOESI(:) = MIN(EXP( XALPI - XBETAI/ZT(:) - XGAMI*LOG(ZT(:))  ), 0.99*PPRE_MINUS_HALF(:))
          !Computation of d.Rsat / dP (partial derivations with respect to P and T
          !and use of T=Theta*(P/P0)**(R/Cp) to transform dT into dP with theta_up
          !constant at the vertical)
          ZDRSATODP(:)=(XBETAW/ZT(:)-XGAMW)*(1-ZFRAC_ICE(:))+(XBETAI/ZT(:)-XGAMI)*ZFRAC_ICE(:)
          ZDRSATODP(:)=((XRD/XCPD)*ZDRSATODP(:)-1.)*PRSAT_UP(:)/ &
                      &(PPRE_MINUS_HALF(:)-(ZFOESW(:)*(1-ZFRAC_ICE(:)) + ZFOESI(:)*ZFRAC_ICE(:)))
          !Use of d.Rsat / dP and pressure at flux level KK to find pressure (ZPRE)
          !where Rsat is equal to PRT_UP
          ZPRE(:)=PPRE_MINUS_HALF(:)+(PRT_UP(:)-PRSAT_UP(:))/ZDRSATODP(:)
          !Fraction of dry part (computed with pressure and used with heights, no
          !impact found when using log function here and for pressure on flux levels
          !computation)
          PPART_DRY(:)=MAX(0., MIN(1., (PPRE_MINUS_HALF(:)-ZPRE(:))/(PPRE_MINUS_HALF(:)-PPRE_PLUS_HALF(:))))
          !Height above flux level KK of the cloudy part
          ZDZ_STOP(:) = (PZZ(:,KK+KKL)-PZZ(:,KK))*PPART_DRY(:)
        ENDWHERE
      ENDWHERE
    
    !               1.5 Gradient and flux values of thetav
      IF(KK/=KKB)THEN
        ZCOEFF_MINUS_HALF(:)=((PTHVM(:,KK)-PTHVM(:,KK-KKL))/PDZZ(:,KK))
        ZTHV_MINUS_HALF(:) = PTHVM(:,KK) - ZCOEFF_MINUS_HALF(:)*0.5*(PZZ(:,KK+KKL)-PZZ(:,KK))
      ELSE
        ZCOEFF_MINUS_HALF(:)=0.
        ZTHV_MINUS_HALF(:) = PTHVM(:,KK)
      ENDIF
      ZCOEFF_PLUS_HALF(:)  = ((PTHVM(:,KK+KKL)-PTHVM(:,KK))/PDZZ(:,KK+KKL))
      ZTHV_PLUS_HALF(:)  = PTHVM(:,KK) + ZCOEFF_PLUS_HALF(:)*0.5*(PZZ(:,KK+KKL)-PZZ(:,KK))
    
    !               2  Dry part computation:
    !                  Integral buoyancy and computation of PENTR and PDETR for dry part
    !               --------------------------------------------------------------------
    
      DO JI=1,SIZE(PTHLM,1)
        IF(OTEST(JI)) THEN
          IF(PPART_DRY(JI)>0.) THEN
            !Buoyancy computation in two parts to use change of gradient of theta v of environment
            !Between flux level KK and min(mass level, bottom of cloudy part)
            ZDZ(JI)=MIN(ZDZ_STOP(JI),(PZZ(JI,KK+KKL)-PZZ(JI,KK))*0.5)
            PBUO_INTEG_DRY(JI) = ZG_O_THVREF(JI)*ZDZ(JI)*&
                        (0.5 * (  - ZCOEFF_MINUS_HALF(JI))*ZDZ(JI)  &
                          - ZTHV_MINUS_HALF(JI) + PTHV_UP(JI) )
      
            !Between mass flux KK and bottom of cloudy part (if above mass flux)
            ZDZ(JI)=MAX(0., ZDZ_STOP(JI)-(PZZ(JI,KK+KKL)-PZZ(JI,KK))*0.5)
            PBUO_INTEG_DRY(JI) = PBUO_INTEG_DRY(JI) + ZG_O_THVREF(JI)*ZDZ(JI)*&
                        (0.5 * (  - ZCOEFF_PLUS_HALF(JI))*ZDZ(JI) &
                          - PTHVM(JI,KK) + PTHV_UP(JI) )
      
            !Entr//Detr. computation
            IF (PBUO_INTEG_DRY(JI)>=0.) THEN
              PENTR(JI) = 0.5/(XABUO-XBENTR*XENTR_DRY)*&
                         LOG(1.+ (2.*(XABUO-XBENTR*XENTR_DRY)/PW_UP2(JI,KK))* &
                         PBUO_INTEG_DRY(JI))
              PDETR(JI) = 0.
            ELSE
              PENTR(JI) = 0.
              PDETR(JI) = 0.5/(XABUO)*&
                         LOG(1.+ (2.*(XABUO)/PW_UP2(JI,KK))* &
                         (-PBUO_INTEG_DRY(JI)))
            ENDIF
            PENTR(JI) = XENTR_DRY*PENTR(JI)/(PZZ(JI,KK+KKL)-PZZ(JI,KK))    
            PDETR(JI) = XDETR_DRY*PDETR(JI)/(PZZ(JI,KK+KKL)-PZZ(JI,KK))
            !Minimum value of detrainment
            ZWK(JI)=PLUP(JI)-0.5*(PZZ(JI,KK)+PZZ(JI,KK+KKL))
            ZWK(JI)=SIGN(MAX(1., ABS(ZWK(JI))), ZWK(JI)) ! ZWK must not be zero
            PDETR(JI) = MAX(PPART_DRY(JI)*XDETR_LUP/ZWK(JI), PDETR(JI))
          ELSE
            !No dry part, consation reached (OTESTLCL)
            PBUO_INTEG_DRY(JI) = 0.
            PENTR(JI)=0.
            PDETR(JI)=0.
          ENDIF
        ELSE
          !No dry part, consation reached (OTESTLCL)
          PBUO_INTEG_DRY(JI) = 0.
          PENTR(JI)=0.
          PDETR(JI)=0.
        ENDIF
      ENDDO
    
    !               3  Wet part computation
    !               -----------------------
    
    !               3.1 Integral buoyancy for cloudy part
    
      ! Compute theta_v of updraft at flux level KK+KKL                   
      !MIX variables are used to avoid declaring new variables
      !but we are dealing with updraft and not mixture
      ZRCMIX(:)=PRC_UP(:)
      ZRIMIX(:)=PRI_UP(:)
      CALL TH_R_FROM_THL_RT_1D(HFRAC_ICE,ZFRAC_ICE,&
                   PPRE_PLUS_HALF,PTHL_UP,PRT_UP,&
                   ZTHMIX,ZRVMIX,ZRCMIX,ZRIMIX,&
                   ZRSATW, ZRSATI)
      ZTHV_UP_F2(:) = ZTHMIX(:)*(1.+ZRVORD*ZRVMIX(:))/(1.+PRT_UP(:))
    
      ! Integral buoyancy for cloudy part
      WHERE(OTEST)
        WHERE(PPART_DRY(:)<1.)
          !Gradient of Theta V updraft over the cloudy part, assuming that thetaV updraft don't change
          !between flux level KK and bottom of cloudy part
          ZCOTHVU(:)=(ZTHV_UP_F2(:)-PTHV_UP(:))/((PZZ(:,KK+KKL)-PZZ(:,KK))*(1-PPART_DRY(:)))
    
          !Computation in two parts to use change of gradient of theta v of environment
          !Between bottom of cloudy part (if under mass level) and mass level KK
          ZDZ(:)=MAX(0., 0.5*(PZZ(:,KK+KKL)-PZZ(:,KK))-ZDZ_STOP(:))
          PBUO_INTEG_CLD(:) = ZG_O_THVREF(:)*ZDZ(:)*&
                    (0.5*( ZCOTHVU(:) - ZCOEFF_MINUS_HALF(:))*ZDZ(:) &
                      - (PTHVM(:,KK)-ZDZ(:)*ZCOEFF_MINUS_HALF(:)) + PTHV_UP(:) )
    
          !Between max(mass level, bottom of cloudy part) and flux level KK+KKL
          ZDZ(:)=(PZZ(:,KK+KKL)-PZZ(:,KK))-MAX(ZDZ_STOP(:),0.5*(PZZ(:,KK+KKL)-PZZ(:,KK)))
          PBUO_INTEG_CLD(:) = PBUO_INTEG_CLD(:)+ZG_O_THVREF(:)*ZDZ(:)*&
                              (0.5*( ZCOTHVU(:) - ZCOEFF_PLUS_HALF(:))*ZDZ(:)&
                      - (PTHVM(:,KK)+(0.5*((PZZ(:,KK+KKL)-PZZ(:,KK)))-ZDZ(:))*ZCOEFF_PLUS_HALF(:)) +&
                      PTHV_UP(:) )
    
        ELSEWHERE
          !No cloudy part
          PBUO_INTEG_CLD(:)=0.
        ENDWHERE
      ELSEWHERE
        !No cloudy part
        PBUO_INTEG_CLD(:)=0.
      ENDWHERE
    
    !               3.2 Critical mixed fraction for KK+KKL flux level (ZKIC_F2) and
    !                   for bottom of cloudy part (ZKIC), then a mean for the cloudy part
    !                   (put also in ZKIC)
    !
    !                   computation by estimating unknown  
    !                   T^mix r_c^mix and r_i^mix from enthalpy^mix and r_w^mix
    !                   We determine the zero crossing of the linear curve
    !                   evaluating the derivative using ZMIXF=0.1
                    
      ZKIC_INIT=0.1  ! starting value for critical mixed fraction for CLoudy Part
    
      !  Compute thetaV of environment at the bottom of cloudy part
      !    and cons then non cons. var. of mixture at the bottom of cloudy part
    
      !   JI computed to avoid KKL(KK-KKL) being < KKL*KKB
      JI=KKL*MAX(KKL*(KK-KKL),KKL*KKB)
    
      WHERE(OTEST .AND. PPART_DRY(:)>0.5)
        ZDZ(:)=ZDZ_STOP(:)-0.5*(PZZ(:,KK+KKL)-PZZ(:,KK))
        ZTHV(:)= PTHVM(:,KK)+ZCOEFF_PLUS_HALF(:)*ZDZ(:)
        ZMIXTHL(:) = ZKIC_INIT * &
                     (PTHLM(:,KK)+ZDZ(:)*(PTHLM(:,KK+KKL)-PTHLM(:,KK))/PDZZ(:,KK+KKL)) + &
                     (1. - ZKIC_INIT)*PTHL_UP(:)
        ZMIXRT(:)  = ZKIC_INIT * &
                     (PRTM(:,KK)+ZDZ(:)*(PRTM(:,KK+KKL)-PRTM(:,KK))/PDZZ(:,KK+KKL)) +   &
                     (1. - ZKIC_INIT)*PRT_UP(:)
      ELSEWHERE(OTEST)
        ZDZ(:)=0.5*(PZZ(:,KK+KKL)-PZZ(:,KK))-ZDZ_STOP(:)
        ZTHV(:)= PTHVM(:,KK)-ZCOEFF_MINUS_HALF(:)*ZDZ(:)
        ZMIXTHL(:) = ZKIC_INIT * &
                     (PTHLM(:,KK)-ZDZ(:)*(PTHLM(:,KK)-PTHLM(:,JI))/PDZZ(:,KK)) + &
                     (1. - ZKIC_INIT)*PTHL_UP(:)
        ZMIXRT(:)  = ZKIC_INIT * &
                     (PRTM(:,KK)-ZDZ(:)*(PRTM(:,KK)-PRTM(:,JI))/PDZZ(:,KK)) + &
                     (1. - ZKIC_INIT)*PRT_UP(:)
      ENDWHERE
      CALL TH_R_FROM_THL_RT_1D(HFRAC_ICE,ZFRAC_ICE,&
                   ZPRE,ZMIXTHL,ZMIXRT,&
                   ZTHMIX,ZRVMIX,PRC_MIX,PRI_MIX,&
                   ZRSATW, ZRSATI)
      ZTHVMIX(:) = ZTHMIX(:)*(1.+ZRVORD*ZRVMIX(:))/(1.+ZMIXRT(:))
    
      !  Compute cons then non cons. var. of mixture at the flux level KK+KKL  with initial ZKIC
      ZMIXTHL(:) = ZKIC_INIT * 0.5*(PTHLM(:,KK)+PTHLM(:,KK+KKL))+(1. - ZKIC_INIT)*PTHL_UP(:)
      ZMIXRT(:)  = ZKIC_INIT * 0.5*(PRTM(:,KK)+PRTM(:,KK+KKL))+(1. - ZKIC_INIT)*PRT_UP(:)
      CALL TH_R_FROM_THL_RT_1D(HFRAC_ICE,ZFRAC_ICE,&
                   PPRE_PLUS_HALF,ZMIXTHL,ZMIXRT,&
                   ZTHMIX,ZRVMIX,PRC_MIX,PRI_MIX,&
                   ZRSATW, ZRSATI)
      ZTHVMIX_F2(:) = ZTHMIX(:)*(1.+ZRVORD*ZRVMIX(:))/(1.+ZMIXRT(:))
    
      !Computation of mean ZKIC over the cloudy part
      WHERE (OTEST)
        ! Compute ZKIC at the bottom of cloudy part
        ! Thetav_up at bottom is equal to Thetav_up at flux level KK
        WHERE (ABS(PTHV_UP(:)-ZTHVMIX(:))<1.E-10)
          ZKIC(:)=1.
        ELSEWHERE
          ZKIC(:) = MAX(0.,PTHV_UP(:)-ZTHV(:))*ZKIC_INIT /  &  
                       (PTHV_UP(:)-ZTHVMIX(:))
        ENDWHERE
        ! Compute ZKIC_F2 at flux level KK+KKL
        WHERE (ABS(ZTHV_UP_F2(:)-ZTHVMIX_F2(:))<1.E-10)
          ZKIC_F2(:)=1.
        ELSEWHERE
          ZKIC_F2(:) = MAX(0.,ZTHV_UP_F2(:)-ZTHV_PLUS_HALF(:))*ZKIC_INIT /  &  
                       (ZTHV_UP_F2(:)-ZTHVMIX_F2(:))
        ENDWHERE
        !Mean ZKIC over the cloudy part
        ZKIC(:)=MAX(MIN(0.5*(ZKIC(:)+ZKIC_F2(:)),1.),0.)
      ENDWHERE
    
    !               3.3 Integration of PDF
    !                   According to Kain and Fritsch (1990), we replace delta Mt
    !                   in eq. (7) and (8) using eq. (5). Here we compute the ratio
    !                   of integrals without computing delta Me
    
      !Constant PDF
      !For this PDF, eq. (5) is delta Me=0.5*delta Mt
      WHERE(OTEST)
        ZEPSI(:) = ZKIC(:)**2. !integration multiplied by 2
        ZDELTA(:) = (1.-ZKIC(:))**2. !idem
      ENDWHERE
    
      !Triangular PDF
      !Calculus must be verified before activating this part, but in this state,
      !results on ARM case are almost identical
      !For this PDF, eq. (5) is also delta Me=0.5*delta Mt
      !WHERE(OTEST)
      !  !Integration multiplied by 2
      !  WHERE(ZKIC<0.5)
      !    ZEPSI(:)=8.*ZKIC(:)**3/3.
      !    ZDELTA(:)=1.-4.*ZKIC(:)**2+8.*ZKIC(:)**3/3.
      !  ELSEWHERE
      !    ZEPSI(:)=5./3.-4*ZKIC(:)**2+8.*ZKIC(:)**3/3.
      !    ZDELTA(:)=8.*(1.-ZKIC(:))**3/3.
      !  ENDWHERE
      !ENDWHERE
    
    !               3.4 Computation of PENTR and PDETR
      WHERE (OTEST)
        ZEPSI_CLOUD=MIN(ZDELTA,ZEPSI)
        PENTR_CLD(:) = (1.-PPART_DRY(:))*ZCOEFFMF_CLOUD*PRHODREF(:)*ZEPSI_CLOUD(:)
        PDETR_CLD(:) = (1.-PPART_DRY(:))*ZCOEFFMF_CLOUD*PRHODREF(:)*ZDELTA(:)
        PENTR(:) = PENTR(:)+PENTR_CLD(:)
        PDETR(:) = PDETR(:)+PDETR_CLD(:)
      ELSEWHERE
        PENTR_CLD(:) = 0.
        PDETR_CLD(:) = 0.
      ENDWHERE
    
    IF (LHOOK) CALL DR_HOOK('COMPUTE_ENTR_DETR',1,ZHOOK_HANDLE)
    END SUBROUTINE COMPUTE_ENTR_DETR