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!MNH_LIC Copyright 2004-2019 CNRS, Meteo-France and Universite Paul Sabatier
!MNH_LIC This is part of the Meso-NH software governed by the CeCILL-C licence
!MNH_LIC version 1. See LICENSE, CeCILL-C_V1-en.txt and CeCILL-C_V1-fr.txt
!MNH_LIC for details. version 1.
!-----------------------------------------------------------------
     MODULE MODE_COMPUTE_UPDRAFT
!    ###########################
!
IMPLICIT NONE
CONTAINS
      SUBROUTINE COMPUTE_UPDRAFT(D,CST,NEBN,PARAMMF,TURBN,CSTURB, &
                                 ONOMIXLG,KSV_LGBEG,KSV_LGEND,    &
                                 PZZ,PDZZ,                        &
                                 PSFTH,PSFRV,                     &
                                 PPABSM,PRHODREF,PUM,PVM, PTKEM,  &
                                 PTHM,PRVM,PTHLM,PRTM,            &
                                 PSVM,PTHL_UP,PRT_UP,             &
                                 PRV_UP,PRC_UP,PRI_UP,PTHV_UP,    &
                                 PW_UP,PU_UP, PV_UP, PSV_UP,      &
                                 PFRAC_UP,PFRAC_ICE_UP,PRSAT_UP,  &
                                 PEMF,PDETR,PENTR,                &
                                 PBUO_INTEG,KKLCL,KKETL,KKCTL,    &
                                 PDEPTH, PDX, PDY     )

!     #################################################################
!!
!!****  *COMPUTE_UPDRAFT* - calculates caracteristics of the updraft 
!!                         
!!
!!    PURPOSE
!!    -------
!!****  The purpose of this routine is to build the updraft model 
!!
!
!!**  METHOD
!!    ------
!!
!!    EXTERNAL
!!    --------
!!      
!!    IMPLICIT ARGUMENTS
!!    ------------------
!!
!!      !!     REFERENCE
!!     ---------
!!       Book 1 of Meso-NH documentation (chapter Turbulence)
!!       Soares et al. 2004 QJ
!!
!!     AUTHOR
!!     ------
!!     J.Pergaud
!!     V.Masson : Optimization 07/2010
!!     S. Riette : 07/2010 : modification for reproducibility  
!!     S. Riette may 2011: ice added, interface modified
!!     S. Riette Jan 2012: support for both order of vertical levels
!!     V.Masson, C.Lac : 02/2011 : SV_UP initialized by a non-zero value
!!     S. Riette Apr 2013: improvement of continuity at the condensation level
!!     R.Honnert Oct 2016 : Add ZSURF and Update with AROME
!!     Q.Rodier  01/2019 : support RM17 mixing length
!!     R.Honnert 01/2019 : add LGZ (reduction of the mass-flux surface closure with the resolution)
!!     S. Riette 06/2022: compute_entr_detr is inlined
!! --------------------------------------------------------------------------
!
!*      0. DECLARATIONS
!          ------------
!
USE MODD_DIMPHYEX,        ONLY: DIMPHYEX_t
USE MODD_CST,             ONLY: CST_t
USE MODD_NEB_n,           ONLY: NEB_t
USE MODD_PARAM_MFSHALL_n, ONLY: PARAM_MFSHALL_t
USE MODD_TURB_n,          ONLY: TURB_t
USE MODI_SHUMAN_MF, ONLY: MZM_MF, MZF_MF, GZ_M_W_MF
USE MODE_COMPUTE_BL89_ML, ONLY: COMPUTE_BL89_ML
USE MODE_MSG, ONLY: PRINT_MSG, NVERB_FATAL
USE PARKIND1, ONLY : JPRB
USE YOMHOOK , ONLY : LHOOK, DR_HOOK

IMPLICIT NONE

!*                    1.1  Declaration of Arguments
!
!
!
TYPE(DIMPHYEX_t),       INTENT(IN)   :: D
TYPE(CST_t),            INTENT(IN)   :: CST
TYPE(NEB_t),            INTENT(IN)   :: NEBN
TYPE(PARAM_MFSHALL_t),  INTENT(IN)   :: PARAMMF
INTEGER,                INTENT(IN)   :: KSV
CHARACTER(LEN=1),       INTENT(IN)   :: HFRAC_ICE    ! partition liquid/ice scheme
LOGICAL,                INTENT(IN) :: OENTR_DETR! flag to recompute entrainment, detrainment and mass flux
LOGICAL,                INTENT(IN)   :: ONOMIXLG  ! False if mixing of lagrangian tracer
INTEGER,                INTENT(IN)   :: KSV_LGBEG ! first index of lag. tracer
INTEGER,                INTENT(IN)   :: KSV_LGEND ! last  index of lag. tracer
REAL, DIMENSION(D%NIJT,D%NKT), INTENT(IN)   :: PZZ       !  Height at the flux point
REAL, DIMENSION(D%NIJT,D%NKT), INTENT(IN)   :: PDZZ      !  Metrics coefficient
REAL, DIMENSION(D%NIJT),   INTENT(IN)   ::  PSFTH,PSFRV
! normal surface fluxes of theta,rv,(u,v) parallel to the orography
!
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(IN) ::  PPABSM     ! Pressure at t-dt
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(IN) ::  PRHODREF   ! dry density of the
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(IN) ::  PUM        ! u mean wind
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(IN) ::  PVM        ! v mean wind
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(IN) ::  PTKEM      ! TKE at t-dt
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(IN)   ::  PTHM           ! liquid pot. temp. at t-dt
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(IN)   ::  PRVM           ! vapor mixing ratio at t-dt
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(IN)   ::  PTHLM,PRTM     ! cons. var. at t-dt
REAL, DIMENSION(D%NIJT,D%NKT,KSV), INTENT(IN)   ::  PSVM           ! scalar var. at t-dt
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(OUT)  ::  PTHL_UP,PRT_UP   ! updraft properties
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(OUT)  ::  PU_UP, PV_UP     ! updraft wind components
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(INOUT)::  PRV_UP,PRC_UP, & ! updraft rv, rc
                                         PRI_UP,PTHV_UP,& ! updraft ri, THv
                                         PW_UP,PFRAC_UP,& ! updraft w, fraction
                                         PFRAC_ICE_UP,&   ! liquid/solid fraction in updraft
                                         PRSAT_UP         ! Rsat

REAL, DIMENSION(D%NIJT,D%NKT,KSV), INTENT(OUT)  ::  PSV_UP           ! updraft scalar var. 
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(INOUT)::  PEMF,PDETR,PENTR ! Mass_flux,
REAL, DIMENSION(D%NIJT,D%NKT),   INTENT(INOUT) :: PBUO_INTEG       ! Integrated Buoyancy 
INTEGER, DIMENSION(D%NIJT),  INTENT(INOUT) :: KKLCL,KKETL,KKCTL! LCL, ETL, CTL
REAL, DIMENSION(D%NIJT),     INTENT(OUT)   :: PDEPTH           ! Deepness of cloud
REAL,                   INTENT(IN)    :: PDX, PDY
!                       1.2  Declaration of local variables
!
!
! Mean environment variables at t-dt at flux point
REAL, DIMENSION(D%NIJT,D%NKT) ::    &
                        ZTHM_F,ZRVM_F                 ! Theta,rv of
                                                      ! updraft environnement
REAL, DIMENSION(D%NIJT,D%NKT) ::    &
                        ZRTM_F, ZTHLM_F, ZTKEM_F,&    ! rt, thetal,TKE,pressure,
                        ZUM_F,ZVM_F,ZRHO_F,      &    ! density,momentum
                        ZPRES_F,ZTHVM_F,ZTHVM,   &    ! interpolated at the flux point
                        ZG_O_THVREF,             &    ! g*ThetaV ref
                        ZW_UP2,                  &    ! w**2  of the updraft
                        ZBUO_INTEG_DRY, ZBUO_INTEG_CLD,&! Integrated Buoyancy
                        ZENTR_CLD,ZDETR_CLD           ! wet entrainment and detrainment

REAL, DIMENSION(D%NIJT,D%NKT,KSV) :: &
REAL, DIMENSION(D%NIJT,D%NKT) ::  &
                        ZTH_UP,                  &    ! updraft THETA 
                        ZRC_MIX, ZRI_MIX              ! guess of Rc and Ri for KF mixture

REAL, DIMENSION(D%NIJT,D%NKT) ::  ZCOEF  ! diminution coefficient for too high clouds 
REAL, DIMENSION(D%NIJT)            ::  ZWTHVSURF  ! Surface w'thetav'
REAL, DIMENSION(D%NIJT) :: ZMIX1,ZMIX2,ZMIX3_CLD,ZMIX2_CLD
REAL, DIMENSION(D%NIJT) :: ZLUP         ! Upward Mixing length from the ground
LOGICAL, DIMENSION(D%NIJT) ::  GTEST,GTESTLCL,GTESTETL
                               ! Test if the ascent continue, if LCL or ETL is reached
LOGICAL                          ::  GLMIX 
                               ! To choose upward or downward mixing length
LOGICAL, DIMENSION(D%NIJT)              :: GWORK1
LOGICAL, DIMENSION(D%NIJT,D%NKT) :: GWORK2
REAL, DIMENSION(D%NIJT) :: ZRC_UP, ZRI_UP, ZRV_UP,&
                                 ZRSATW, ZRSATI,&
                                 ZPART_DRY

REAL  :: ZDEPTH_MAX1, ZDEPTH_MAX2 ! control auto-extinction process

REAL  :: ZTMAX,ZRMAX  ! control value
REAL, DIMENSION(D%NIJT) :: ZSURF
REAL, DIMENSION(D%NIJT,D%NKT) :: ZSHEAR,ZDUDZ,ZDVDZ ! vertical wind shear
REAL, DIMENSION(D%NIJT,D%NKT) :: ZWK
REAL, DIMENSION(D%NIJT,16) :: ZBUF
REAL(KIND=JPRB) :: ZHOOK_HANDLE
!
!                       1.3  Declaration of additional local variables for compute_entr_detr
!
! Variables for cloudy part
REAL, DIMENSION(D%NIJT) :: ZKIC, ZKIC_F2  ! fraction of env. mass in the muxtures
REAL, DIMENSION(D%NIJT) :: ZEPSI,ZDELTA   ! factor entrainment detrainment
REAL                   :: ZEPSI_CLOUD    ! factor entrainment detrainment
REAL                   :: ZCOEFFMF_CLOUD ! factor for compputing entr. detr.
REAL, DIMENSION(D%NIJT) :: ZMIXTHL,ZMIXRT ! Thetal and rt in the mixtures
REAL, DIMENSION(D%NIJT) :: ZTHMIX         ! Theta and Thetav  of mixtures
REAL, DIMENSION(D%NIJT) :: ZRVMIX,ZRCMIX,ZRIMIX ! mixing ratios in mixtures
REAL, DIMENSION(D%NIJT) :: ZTHVMIX, ZTHVMIX_F2 ! Theta and Thetav  of mixtures
REAL, DIMENSION(D%NIJT) :: ZTHV_UP_F2     ! thv_up at flux point kk+kkl
REAL, DIMENSION(D%NIJT) :: ZRSATW_ED, ZRSATI_ED ! working arrays (mixing ratio at saturation)
REAL, DIMENSION(D%NIJT) :: ZTHV           ! theta V of environment at the bottom of cloudy part  
REAL                   :: ZKIC_INIT      !Initial value of ZKIC
REAL                   :: ZCOTHVU              ! Variation of Thvup between bottom and top of cloudy part

! Variables for dry part
REAL                   :: ZFOESW, ZFOESI       ! saturating vapor pressure
REAL                   :: ZDRSATODP            ! d.Rsat/dP
REAL                   :: ZT                   ! Temperature
REAL                   :: ZWK0D                ! Work array

! Variables for dry and cloudy parts
REAL, DIMENSION(D%NIJT) :: 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(D%NIJT) :: ZPRE                 ! pressure at the bottom of the cloudy part
REAL, DIMENSION(D%NIJT) :: ZG_O_THVREF_ED
REAL, DIMENSION(D%NIJT) :: ZFRAC_ICE            ! fraction of ice
REAL, DIMENSION(D%NIJT) :: 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)
REAL                   :: ZDZ                  ! Delta Z used in computations
INTEGER :: JKLIM
INTEGER :: IIJB,IIJE ! physical horizontal domain indices
INTEGER :: IKT,IKB,IKE,IKL
IF (LHOOK) CALL DR_HOOK('COMPUTE_UPDRAFT',0,ZHOOK_HANDLE)
!
IIJE=D%NIJE
IIJB=D%NIJB
IKT=D%NKT
IKB=D%NKB
IKE=D%NKE
IKL=D%NKL
!
! Thresholds for the  perturbation of
! theta_l and r_t at the first level of the updraft
ZTMAX=2.0
ZRMAX=1.E-3
!------------------------------------------------------------------------

!                     INITIALISATION

! Initialisation of the constants   
ZRDORV   = CST%XRD / CST%XRV   !=0.622
ZRVORD   = (CST%XRV / CST%XRD) 

ZDEPTH_MAX1=3000. ! clouds with depth inferior to this value are keeped untouched
ZDEPTH_MAX2=4000. ! clouds with depth superior to this value are suppressed

!                 Local variables, internal domain

IF (OENTR_DETR) THEN
  ! Initialisation of intersesting Level :LCL,ETL,CTL

  !
  ! Initialisation
  !* udraft governing variables
  PEMF(:,:)=0.
  PDETR(:,:)=0.
  PENTR(:,:)=0.

  ! Initialisation
  !* updraft core variables
  PRV_UP(:,:)=0.
  PRC_UP(:,:)=0.
  PRI_UP(:,:)=0.
  PW_UP(:,:)=0.
  ZTH_UP(:,:)=0.
  PFRAC_UP(:,:)=0.
  PTHV_UP(:,:)=0.

  PBUO_INTEG=0.

  PFRAC_ICE_UP(:,:)=0.
  !$mnh_expand_array(JIJ=IIJB:IIJE,JK=1:IKT)
  PRSAT_UP(IIJB:IIJE,1:IKT)=PRVM(IIJB:IIJE,1:IKT) ! should be initialised correctly but is (normaly) not used
  !$mnh_end_expand_array(JIJ=IIJB:IIJE,JK=1:IKT)

  !cloud/dry air mixture cloud content
  ZRC_MIX = 0.
  ZRI_MIX = 0.

END IF

! Initialisation of environment variables at t-dt
! variables at flux level
CALL MZM_MF(D, PTHLM(:,:), ZTHLM_F(:,:))
CALL MZM_MF(D, PRTM(:,:), ZRTM_F (:,:))
CALL MZM_MF(D, PUM(:,:), ZUM_F  (:,:))
CALL MZM_MF(D, PVM(:,:), ZVM_F  (:,:))
CALL MZM_MF(D, PTKEM(:,:), ZTKEM_F(:,:))
  IF (ONOMIXLG .AND. JSV >= KSV_LGBEG .AND. JSV<= KSV_LGEND) CYCLE
  CALL MZM_MF(D, PSVM(:,:,JSV), ZSVM_F(:,:,JSV))
END DO
!                     
!          Initialisation of updraft characteristics 
!$mnh_expand_array(JIJ=IIJB:IIJE,JK=1:IKT)
PTHL_UP(IIJB:IIJE,1:IKT)=ZTHLM_F(IIJB:IIJE,1:IKT)
PRT_UP(IIJB:IIJE,1:IKT)=ZRTM_F(IIJB:IIJE,1:IKT)
PU_UP(IIJB:IIJE,1:IKT)=ZUM_F(IIJB:IIJE,1:IKT)
PV_UP(IIJB:IIJE,1:IKT)=ZVM_F(IIJB:IIJE,1:IKT)
!$mnh_end_expand_array(JIJ=IIJB:IIJE,JK=1:IKT)
!$mnh_expand_array(JIJ=IIJB:IIJE,JK=1:IKT,JSV=1:KSV)
PSV_UP(IIJB:IIJE,1:IKT,:)=ZSVM_F(IIJB:IIJE,1:IKT,:)
!$mnh_end_expand_array(JIJ=IIJB:IIJE,JK=1:IKT,JSV=1:KSV)

! Computation or initialisation of updraft characteristics at the KKB level
! thetal_up,rt_up,thetaV_up, w2,Buoyancy term and mass flux (PEMF)
!$mnh_expand_array(JIJ=IIJB:IIJE)
PTHL_UP(IIJB:IIJE,IKB)= ZTHLM_F(IIJB:IIJE,IKB)+ &
                            & MAX(0.,MIN(ZTMAX,(PSFTH(IIJB:IIJE)/SQRT(ZTKEM_F(IIJB:IIJE,IKB)))* PARAMMF%XALP_PERT))
PRT_UP(IIJB:IIJE,IKB) = ZRTM_F(IIJB:IIJE,IKB)+ &
                            & MAX(0.,MIN(ZRMAX,(PSFRV(IIJB:IIJE)/SQRT(ZTKEM_F(IIJB:IIJE,IKB)))* PARAMMF%XALP_PERT)) 
!$mnh_end_expand_array(JIJ=IIJB:IIJE)
  CALL MZM_MF(D, PTHM (:,:), ZTHM_F (:,:))
  CALL MZM_MF(D, PPABSM(:,:), ZPRES_F(:,:))
  CALL MZM_MF(D, PRHODREF(:,:), ZRHO_F (:,:))
  CALL MZM_MF(D, PRVM(:,:), ZRVM_F (:,:))
  !$mnh_expand_array(JIJ=IIJB:IIJE,JK=1:IKT)
  ! thetav at mass and flux levels
  ZTHVM_F(IIJB:IIJE,1:IKT)=ZTHM_F(IIJB:IIJE,1:IKT)* &
                                    &((1.+ZRVORD*ZRVM_F(IIJB:IIJE,1:IKT))/(1.+ZRTM_F(IIJB:IIJE,1:IKT)))
  ZTHVM(IIJB:IIJE,1:IKT)=PTHM(IIJB:IIJE,1:IKT)* &
                                    &((1.+ZRVORD*PRVM(IIJB:IIJE,1:IKT))/(1.+PRTM(IIJB:IIJE,1:IKT)))
  PTHV_UP(IIJB:IIJE,1:IKT)=ZTHVM_F(IIJB:IIJE,1:IKT)
  !$mnh_end_expand_array(JIJ=IIJB:IIJE,JK=1:IKT)
  !$mnh_expand_array(JIJ=IIJB:IIJE)
  ZW_UP2(IIJB:IIJE,IKB) = MAX(0.0001,(2./3.)*ZTKEM_F(IIJB:IIJE,IKB))

  ! Computation of non conservative variable for the KKB level of the updraft
  ! (all or nothing ajustement)
  PRC_UP(:,IKB)=0.
  PRI_UP(:,IKB)=0.
  !$mnh_end_expand_array(JIJ=IIJB:IIJE)
  CALL TH_R_FROM_THL_RT(CST, NEBN, D%NIJT, HFRAC_ICE,PFRAC_ICE_UP(:,IKB),ZPRES_F(:,IKB), &
             PTHL_UP(:,IKB),PRT_UP(:,IKB),ZTH_UP(:,IKB), &
             PRV_UP(:,IKB),PRC_UP(:,IKB),PRI_UP(:,IKB),ZRSATW(:),ZRSATI(:), OOCEAN=.FALSE., &
             PBUF=ZBUF(:,:), KB=D%NIJB, KE=D%NIJE)
  ! compute updraft thevav and buoyancy term at KKB level
  PTHV_UP(IIJB:IIJE,IKB) = ZTH_UP(IIJB:IIJE,IKB)*&
                               & ((1+ZRVORD*PRV_UP(IIJB:IIJE,IKB))/(1+PRT_UP(IIJB:IIJE,IKB)))
  ! compute mean rsat in updraft
  PRSAT_UP(IIJB:IIJE,IKB) = ZRSATW(IIJB:IIJE)*(1-PFRAC_ICE_UP(IIJB:IIJE,IKB)) + &
                              & ZRSATI(IIJB:IIJE)*PFRAC_ICE_UP(IIJB:IIJE,IKB)
  !$mnh_end_expand_array(JIJ=IIJB:IIJE)
  ! Closure assumption for mass flux at KKB level
  !

  !$mnh_expand_array(JIJ=IIJB:IIJE,JK=1:IKT)
  ZG_O_THVREF(IIJB:IIJE,1:IKT)=CST%XG/ZTHVM_F(IIJB:IIJE,1:IKT)
  !$mnh_end_expand_array(JIJ=IIJB:IIJE,JK=1:IKT)
  !$mnh_expand_array(JIJ=IIJB:IIJE)
  ZTKEM_F(IIJB:IIJE,IKB)=0.
  !$mnh_end_expand_array(JIJ=IIJB:IIJE)
    CALL GZ_M_W_MF(D, PUM, PDZZ, ZWK)
    CALL MZF_MF(D, ZWK, ZDUDZ)
    CALL GZ_M_W_MF(D, PVM, PDZZ, ZWK)
    CALL MZF_MF(D, ZWK, ZDVDZ)
    !$mnh_expand_array(JIJ=IIJB:IIJE,JK=1:IKT)
    ZSHEAR(IIJB:IIJE,1:IKT) = SQRT(ZDUDZ(IIJB:IIJE,1:IKT)**2 + ZDVDZ(IIJB:IIJE,1:IKT)**2)
    !$mnh_end_expand_array(JIJ=IIJB:IIJE,JK=1:IKT)
  ELSE
    ZSHEAR = 0. !no shear in bl89 mixing length
  END IF
  CALL COMPUTE_BL89_ML(D, CST, CSTURB, PDZZ,ZTKEM_F(:,IKB),&
                      &ZG_O_THVREF(:,IKB),ZTHVM,IKB,GLMIX,.TRUE.,ZSHEAR,ZLUP)
  CALL COMPUTE_BL89_ML(D, CST, CSTURB, PDZZ,ZTKEM_F(:,IKB),&
                      &ZG_O_THVREF(:,IKB),ZTHVM,IKB,GLMIX,.FALSE.,ZSHEAR,ZLUP)
  !$mnh_expand_where(JIJ=IIJB:IIJE)
  ZLUP(IIJB:IIJE)=MAX(ZLUP(IIJB:IIJE),1.E-10)

  ! Compute Buoyancy flux at the ground
  ZWTHVSURF(IIJB:IIJE) = (ZTHVM_F(IIJB:IIJE,IKB)/ZTHM_F(IIJB:IIJE,IKB))*PSFTH(IIJB:IIJE)+     &
                (0.61*ZTHM_F(IIJB:IIJE,IKB))*PSFRV(IIJB:IIJE)

  ! Mass flux at KKB level (updraft triggered if PSFTH>0.)
    IF(PDX==0. .OR. PDY==0.) THEN                                                                                                   
      CALL PRINT_MSG(NVERB_FATAL, 'GEN', 'COMPUTE_UPDRAFT', 'PDX or PDY is NULL with option LGZ!')                                  
    ZSURF(IIJB:IIJE)=TANH(PARAMMF%XGZ*SQRT(PDX*PDY)/ZLUP(IIJB:IIJE))
  WHERE (ZWTHVSURF(IIJB:IIJE)>0.)
    PEMF(IIJB:IIJE,IKB) = PARAMMF%XCMF * ZSURF(IIJB:IIJE) * ZRHO_F(IIJB:IIJE,IKB) *  &
            ((ZG_O_THVREF(IIJB:IIJE,IKB))*ZWTHVSURF(IIJB:IIJE)*ZLUP(IIJB:IIJE))**(1./3.)
    PFRAC_UP(IIJB:IIJE,IKB)=MIN(PEMF(IIJB:IIJE,IKB)/(SQRT(ZW_UP2(IIJB:IIJE,IKB))*ZRHO_F(IIJB:IIJE,IKB)), &
    ZW_UP2(IIJB:IIJE,IKB)=(PEMF(IIJB:IIJE,IKB)/(PFRAC_UP(IIJB:IIJE,IKB)*ZRHO_F(IIJB:IIJE,IKB)))**2
    GTEST(IIJB:IIJE)=.TRUE.
    PEMF(IIJB:IIJE,IKB) =0.
    GTEST(IIJB:IIJE)=.FALSE.
  !$mnh_end_expand_where(JIJ=IIJB:IIJE)
  !$mnh_expand_array(JIJ=IIJB:IIJE)
  GTEST(IIJB:IIJE)=PEMF(IIJB:IIJE,IKB+IKL)>0.
  !$mnh_end_expand_array(JIJ=IIJB:IIJE)
END IF

!--------------------------------------------------------------------------

!                        3. Vertical ascending loop
!                           -----------------------
!
! If GTEST = T the updraft starts from the KKB level and stops when GTEST becomes F
!
!
GTESTLCL(:)=.FALSE.
GTESTETL(:)=.FALSE.

!       Loop on vertical level

  ! IF the updraft top is reached for all column, stop the loop on levels
  !       Computation of entrainment and detrainment with KF90
  !       parameterization in clouds and LR01 in subcloud layer
  ! to find the LCL (check if JK is LCL or not)
  !$mnh_expand_where(JIJ=IIJB:IIJE)
  WHERE ((PRC_UP(IIJB:IIJE,JK)+PRI_UP(IIJB:IIJE,JK)>0.).AND.(.NOT.(GTESTLCL(IIJB:IIJE))))
      KKLCL(IIJB:IIJE) = JK           
      GTESTLCL(IIJB:IIJE)=.TRUE.
  !$mnh_end_expand_where(JIJ=IIJB:IIJE)
  ! COMPUTE PENTR and PDETR at mass level JK
    IF(JK/=IKB) THEN
      !$mnh_expand_array(JIJ=IIJB:IIJE)
      ZRC_MIX(IIJB:IIJE,JK) = ZRC_MIX(IIJB:IIJE,JK-IKL) ! guess of Rc of mixture
      ZRI_MIX(IIJB:IIJE,JK) = ZRI_MIX(IIJB:IIJE,JK-IKL) ! guess of Ri of mixture
      !$mnh_end_expand_array(JIJ=IIJB:IIJE)
    CALL COMPUTE_ENTR_DETR(D, CST, NEBN, PARAMMF, JK,IKB,IKE,IKL,GTEST,GTESTLCL,HFRAC_ICE,PFRAC_ICE_UP(:,JK),&
                           PRHODREF(:,JK),ZPRES_F(:,JK),ZPRES_F(:,JK+IKL),&
                           PZZ(:,:),PDZZ(:,:),ZTHVM(:,:),  &
                           PTHLM(:,:),PRTM(:,:),ZW_UP2(:,:),ZTH_UP(:,JK),   &
                           PTHL_UP(:,JK),PRT_UP(:,JK),ZLUP(:),         &
                           PRC_UP(:,JK),PRI_UP(:,JK),PTHV_UP(:,JK),&
                           PRSAT_UP(:,JK),ZRC_MIX(:,JK),ZRI_MIX(:,JK),                 &
                           PENTR(:,JK),PDETR(:,JK),ZENTR_CLD(:,JK),ZDETR_CLD(:,JK),&
                           ZBUO_INTEG_DRY(:,JK), ZBUO_INTEG_CLD(:,JK), &
                           ZPART_DRY(:)   )
    !$mnh_expand_where(JIJ=IIJB:IIJE)
    PBUO_INTEG(IIJB:IIJE,JK)=ZBUO_INTEG_DRY(IIJB:IIJE,JK)+ZBUO_INTEG_CLD(IIJB:IIJE,JK)
    IF (JK==IKB) THEN
       PDETR(IIJB:IIJE,JK)=0.
       ZDETR_CLD(IIJB:IIJE,JK)=0.
    !       Computation of updraft characteristics at level JK+KKL
    WHERE(GTEST(IIJB:IIJE))
      ZMIX1(IIJB:IIJE)=0.5*(PZZ(IIJB:IIJE,JK+IKL)-PZZ(IIJB:IIJE,JK))*&
                          &(PENTR(IIJB:IIJE,JK)-PDETR(IIJB:IIJE,JK))
      PEMF(IIJB:IIJE,JK+IKL)=PEMF(IIJB:IIJE,JK)*EXP(2*ZMIX1(IIJB:IIJE))
    !$mnh_end_expand_where(JIJ=IIJB:IIJE)
    !$mnh_expand_array(JIJ=IIJB:IIJE)
    GTEST(IIJB:IIJE) = (PEMF(IIJB:IIJE,JK+IKL)>0.)
    !$mnh_end_expand_array(JIJ=IIJB:IIJE)
  ! stop the updraft if MF becomes negative
  !$mnh_expand_where(JIJ=IIJB:IIJE)
  WHERE (GTEST(IIJB:IIJE).AND.(PEMF(IIJB:IIJE,JK+IKL)<=0.))
    PEMF(IIJB:IIJE,JK+IKL)=0.
    KKCTL(IIJB:IIJE) = JK+IKL
    GTEST(IIJB:IIJE)=.FALSE.
    PFRAC_ICE_UP(IIJB:IIJE,JK+IKL)=PFRAC_ICE_UP(IIJB:IIJE,JK)
    PRSAT_UP(IIJB:IIJE,JK+IKL)=PRSAT_UP(IIJB:IIJE,JK)
  !$mnh_end_expand_where(JIJ=IIJB:IIJE)

  ! If the updraft did not stop, compute cons updraft characteritics at jk+KKL
  DO JIJ=IIJB,IIJE
    IF(GTEST(JIJ)) THEN
      ZMIX2(JIJ) = (PZZ(JIJ,JK+IKL)-PZZ(JIJ,JK))*PENTR(JIJ,JK) !&
      ZMIX3_CLD(JIJ) = (PZZ(JIJ,JK+IKL)-PZZ(JIJ,JK))*(1.-ZPART_DRY(JIJ))*ZDETR_CLD(JIJ,JK) !&                   
      ZMIX2_CLD(JIJ) = (PZZ(JIJ,JK+IKL)-PZZ(JIJ,JK))*(1.-ZPART_DRY(JIJ))*ZENTR_CLD(JIJ,JK)
      PTHL_UP(JIJ,JK+IKL)=(PTHL_UP(JIJ,JK)*(1.-0.5*ZMIX2(JIJ)) + PTHLM(JIJ,JK)*ZMIX2(JIJ)) &
                            /(1.+0.5*ZMIX2(JIJ))   
      PRT_UP(JIJ,JK+IKL) =(PRT_UP (JIJ,JK)*(1.-0.5*ZMIX2(JIJ)) + PRTM(JIJ,JK)*ZMIX2(JIJ))  &
                            /(1.+0.5*ZMIX2(JIJ))
      PTHL_UP(JIJ,JK+IKL)=PTHL_UP(JIJ,JK)*EXP(-ZMIX2(JIJ)) + PTHLM(JIJ,JK)*(1-EXP(-ZMIX2(JIJ)))
      PRT_UP(JIJ,JK+IKL) =PRT_UP (JIJ,JK)*EXP(-ZMIX2(JIJ)) +  PRTM(JIJ,JK)*(1-EXP(-ZMIX2(JIJ)))
    IF(JK/=IKB) THEN
      !$mnh_expand_where(JIJ=IIJB:IIJE)
      WHERE(GTEST(IIJB:IIJE))
        PU_UP(IIJB:IIJE,JK+IKL) = (PU_UP(IIJB:IIJE,JK)*(1-0.5*ZMIX2(IIJB:IIJE)) + &
                                        &PUM(IIJB:IIJE,JK)*ZMIX2(IIJB:IIJE)+ &
                          0.5*PARAMMF%XPRES_UV*(PZZ(IIJB:IIJE,JK+IKL)-PZZ(IIJB:IIJE,JK))*&
                          ((PUM(IIJB:IIJE,JK+IKL)-PUM(IIJB:IIJE,JK))/PDZZ(IIJB:IIJE,JK+IKL)+&
                           (PUM(IIJB:IIJE,JK)-PUM(IIJB:IIJE,JK-IKL))/PDZZ(IIJB:IIJE,JK))        )   &
                          /(1+0.5*ZMIX2(IIJB:IIJE))
        PV_UP(IIJB:IIJE,JK+IKL) = (PV_UP(IIJB:IIJE,JK)*(1-0.5*ZMIX2(IIJB:IIJE)) + &
                                        &PVM(IIJB:IIJE,JK)*ZMIX2(IIJB:IIJE)+ &
                          0.5*PARAMMF%XPRES_UV*(PZZ(IIJB:IIJE,JK+IKL)-PZZ(IIJB:IIJE,JK))*&
                          ((PVM(IIJB:IIJE,JK+IKL)-PVM(IIJB:IIJE,JK))/PDZZ(IIJB:IIJE,JK+IKL)+&
                           (PVM(IIJB:IIJE,JK)-PVM(IIJB:IIJE,JK-IKL))/PDZZ(IIJB:IIJE,JK))    )   &
                          /(1+0.5*ZMIX2(IIJB:IIJE))
      !$mnh_end_expand_where(JIJ=IIJB:IIJE)
      !$mnh_expand_where(JIJ=IIJB:IIJE)
      WHERE(GTEST(IIJB:IIJE))
        PU_UP(IIJB:IIJE,JK+IKL) = (PU_UP(IIJB:IIJE,JK)*(1-0.5*ZMIX2(IIJB:IIJE)) + &
                                        &PUM(IIJB:IIJE,JK)*ZMIX2(IIJB:IIJE)+ &
                          0.5*PARAMMF%XPRES_UV*(PZZ(IIJB:IIJE,JK+IKL)-PZZ(IIJB:IIJE,JK))*&
                          ((PUM(IIJB:IIJE,JK+IKL)-PUM(IIJB:IIJE,JK))/PDZZ(IIJB:IIJE,JK+IKL))        )   &
                          /(1+0.5*ZMIX2(IIJB:IIJE))
        PV_UP(IIJB:IIJE,JK+IKL) = (PV_UP(IIJB:IIJE,JK)*(1-0.5*ZMIX2(IIJB:IIJE)) + &
                                        &PVM(IIJB:IIJE,JK)*ZMIX2(IIJB:IIJE)+ &
                          0.5*PARAMMF%XPRES_UV*(PZZ(IIJB:IIJE,JK+IKL)-PZZ(IIJB:IIJE,JK))*&
                          ((PVM(IIJB:IIJE,JK+IKL)-PVM(IIJB:IIJE,JK))/PDZZ(IIJB:IIJE,JK+IKL))    )   &
                          /(1+0.5*ZMIX2(IIJB:IIJE))
      !$mnh_end_expand_where(JIJ=IIJB:IIJE)
    IF (ONOMIXLG .AND. JSV >= KSV_LGBEG .AND. JSV<= KSV_LGEND) CYCLE
    !$mnh_expand_where(JIJ=IIJB:IIJE)
    WHERE(GTEST(IIJB:IIJE)) 
      PSV_UP(IIJB:IIJE,JK+IKL,JSV) = (PSV_UP(IIJB:IIJE,JK,JSV)*(1-0.5*ZMIX2(IIJB:IIJE)) + &
                   PSVM(IIJB:IIJE,JK,JSV)*ZMIX2(IIJB:IIJE))  /(1+0.5*ZMIX2(IIJB:IIJE))
    !$mnh_end_expand_where(JIJ=IIJB:IIJE)
    ! Compute non cons. var. at level JK+KKL
    !$mnh_expand_array(JIJ=IIJB:IIJE)
    ZRC_UP(IIJB:IIJE)=PRC_UP(IIJB:IIJE,JK) ! guess = level just below
    ZRI_UP(IIJB:IIJE)=PRI_UP(IIJB:IIJE,JK) ! guess = level just below
    !$mnh_end_expand_array(JIJ=IIJB:IIJE)
    CALL TH_R_FROM_THL_RT(CST, NEBN, D%NIJT, HFRAC_ICE,PFRAC_ICE_UP(:,JK+IKL),ZPRES_F(:,JK+IKL), &
            PTHL_UP(:,JK+IKL),PRT_UP(:,JK+IKL),ZTH_UP(:,JK+IKL),              &
            ZRV_UP(:),ZRC_UP(:),ZRI_UP(:),ZRSATW(:),ZRSATI(:), OOCEAN=.FALSE., &
            PBUF=ZBUF(:,:), KB=D%NIJB, KE=D%NIJE)
    !$mnh_expand_where(JIJ=IIJB:IIJE)
    WHERE(GTEST(IIJB:IIJE))
      PRC_UP(IIJB:IIJE,JK+IKL)=ZRC_UP(IIJB:IIJE)
      PRV_UP(IIJB:IIJE,JK+IKL)=ZRV_UP(IIJB:IIJE)
      PRI_UP(IIJB:IIJE,JK+IKL)=ZRI_UP(IIJB:IIJE)
      PRSAT_UP(IIJB:IIJE,JK+IKL) = ZRSATW(IIJB:IIJE)*(1-PFRAC_ICE_UP(IIJB:IIJE,JK+IKL)) + &
                                     & ZRSATI(IIJB:IIJE)*PFRAC_ICE_UP(IIJB:IIJE,JK+IKL)
    ! Compute the updraft theta_v, buoyancy and w**2 for level JK+KKL
    WHERE(GTEST(IIJB:IIJE))
      PTHV_UP(IIJB:IIJE,JK+IKL) = ZTH_UP(IIJB:IIJE,JK+IKL)* &
                                    & ((1+ZRVORD*PRV_UP(IIJB:IIJE,JK+IKL))/(1+PRT_UP(IIJB:IIJE,JK+IKL)))
      WHERE (ZBUO_INTEG_DRY(IIJB:IIJE,JK)>0.)
        ZW_UP2(IIJB:IIJE,JK+IKL)  = ZW_UP2(IIJB:IIJE,JK) + 2.*(PARAMMF%XABUO-PARAMMF%XBENTR*PARAMMF%XENTR_DRY)* &
                                                                &ZBUO_INTEG_DRY(IIJB:IIJE,JK)
        ZW_UP2(IIJB:IIJE,JK+IKL)  = ZW_UP2(IIJB:IIJE,JK) + 2.*PARAMMF%XABUO* ZBUO_INTEG_DRY(IIJB:IIJE,JK)
      ZW_UP2(IIJB:IIJE,JK+IKL)  = ZW_UP2(IIJB:IIJE,JK+IKL)*(1.-(PARAMMF%XBDETR*ZMIX3_CLD(IIJB:IIJE)+ &
                                                                       &PARAMMF%XBENTR*ZMIX2_CLD(IIJB:IIJE)))&
              /(1.+(PARAMMF%XBDETR*ZMIX3_CLD(IIJB:IIJE)+PARAMMF%XBENTR*ZMIX2_CLD(IIJB:IIJE))) &
              +2.*(PARAMMF%XABUO)*ZBUO_INTEG_CLD(IIJB:IIJE,JK)/ &
              &(1.+(PARAMMF%XBDETR*ZMIX3_CLD(IIJB:IIJE)+PARAMMF%XBENTR*ZMIX2_CLD(IIJB:IIJE)))
    ! Test if the updraft has reach the ETL
    WHERE (GTEST(IIJB:IIJE).AND.(PBUO_INTEG(IIJB:IIJE,JK)<=0.))
      KKETL(IIJB:IIJE) = JK+IKL
      GTESTETL(IIJB:IIJE)=.TRUE.
    ! Test is we have reached the top of the updraft
    WHERE (GTEST(IIJB:IIJE).AND.((ZW_UP2(IIJB:IIJE,JK+IKL)<=0.).OR.(PEMF(IIJB:IIJE,JK+IKL)<=0.)))
        ZW_UP2(IIJB:IIJE,JK+IKL)=0.
        PEMF(IIJB:IIJE,JK+IKL)=0.
        GTEST(IIJB:IIJE)=.FALSE.
        PTHL_UP(IIJB:IIJE,JK+IKL)=ZTHLM_F(IIJB:IIJE,JK+IKL)
        PRT_UP(IIJB:IIJE,JK+IKL)=ZRTM_F(IIJB:IIJE,JK+IKL)
        PRC_UP(IIJB:IIJE,JK+IKL)=0.
        PRI_UP(IIJB:IIJE,JK+IKL)=0.
        PRV_UP(IIJB:IIJE,JK+IKL)=0.
        PTHV_UP(IIJB:IIJE,JK+IKL)=ZTHVM_F(IIJB:IIJE,JK+IKL)
        PFRAC_UP(IIJB:IIJE,JK+IKL)=0.
        KKCTL(IIJB:IIJE)=JK+IKL
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