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!MNH_LIC Copyright 1994-2014 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.
! ######spl
! ######spl
MODULE MODI_COMPUTE_UPDRAFT_RAHA
! ###########################
!
INTERFACE
!
! #################################################################
SUBROUTINE COMPUTE_UPDRAFT_RAHA(KKA,KKB,KKE,KKU,KKL,HFRAC_ICE, &
OENTR_DETR,OMIXUV, &
ONOMIXLG,KSV_LGBEG,KSV_LGEND, &
PZZ,PDZZ, &
PSFTH,PSFRV, &
PPABSM,PRHODREF,PUM,PVM, PTKEM, &
PEXNM,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 )
! #################################################################
!
!* 1.1 Declaration of Arguments
!
!
INTEGER, INTENT(IN) :: KKA ! near ground array index
INTEGER, INTENT(IN) :: KKB ! near ground physical index
INTEGER, INTENT(IN) :: KKE ! uppest atmosphere physical index
INTEGER, INTENT(IN) :: KKU ! uppest atmosphere array index
INTEGER, INTENT(IN) :: KKL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
CHARACTER*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) :: OMIXUV ! True if mixing of momentum
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(:,:), INTENT(IN) :: PZZ ! Height at the flux point
REAL, DIMENSION(:,:), INTENT(IN) :: PDZZ ! Metrics coefficient
REAL, DIMENSION(:), INTENT(IN) :: PSFTH,PSFRV
! normal surface fluxes of theta,rv,(u,v) parallel to the orography
!
REAL, DIMENSION(:,:), INTENT(IN) :: PPABSM ! Pressure at t-dt
REAL, DIMENSION(:,:), INTENT(IN) :: PRHODREF ! dry density of the
! reference state
REAL, DIMENSION(:,:), INTENT(IN) :: PUM ! u mean wind
REAL, DIMENSION(:,:), INTENT(IN) :: PVM ! v mean wind
REAL, DIMENSION(:,:), INTENT(IN) :: PTKEM ! TKE at t-dt
REAL, DIMENSION(:,:), INTENT(IN) :: PEXNM ! Exner function at t-dt
REAL, DIMENSION(:,:), INTENT(IN) :: PTHM ! liquid pot. temp. at t-dt
REAL, DIMENSION(:,:), INTENT(IN) :: PRVM ! vapor mixing ratio at t-dt
REAL, DIMENSION(:,:), INTENT(IN) :: PTHLM,PRTM ! cons. var. at t-dt
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSVM ! scalar var. at t-dt
REAL, DIMENSION(:,:), INTENT(OUT) :: PTHL_UP,PRT_UP ! updraft properties
REAL, DIMENSION(:,:), INTENT(OUT) :: PU_UP, PV_UP ! updraft wind components
REAL, DIMENSION(:,:), INTENT(INOUT):: PRV_UP,PRC_UP ! updraft rv, rc
REAL, DIMENSION(:,:), INTENT(INOUT):: PRI_UP,PTHV_UP ! updraft ri, THv
REAL, DIMENSION(:,:), INTENT(INOUT):: PW_UP,PFRAC_UP ! updraft w, fraction
REAL, DIMENSION(:,:), INTENT(INOUT):: PFRAC_ICE_UP ! liquid/solid fraction in updraft
REAL, DIMENSION(:,:), INTENT(INOUT):: PRSAT_UP ! Rsat
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PSV_UP ! updraft scalar var.
REAL, DIMENSION(:,:), INTENT(INOUT):: PEMF,PDETR,PENTR ! Mass_flux,
! detrainment,entrainment
REAL, DIMENSION(:,:), INTENT(INOUT) :: PBUO_INTEG ! Integrated Buoyancy
INTEGER, DIMENSION(:), INTENT(INOUT):: KKLCL,KKETL,KKCTL! LCL, ETL, CTL
REAL, DIMENSION(:), INTENT(OUT) :: PDEPTH ! Deepness of cloud
END SUBROUTINE COMPUTE_UPDRAFT_RAHA
END INTERFACE
!
END MODULE MODI_COMPUTE_UPDRAFT_RAHA
!
! ######spl
SUBROUTINE COMPUTE_UPDRAFT_RAHA(KKA,KKB,KKE,KKU,KKL,HFRAC_ICE, &
OENTR_DETR,OMIXUV, &
ONOMIXLG,KSV_LGBEG,KSV_LGEND, &
PZZ,PDZZ, &
PSFTH,PSFRV, &
PPABSM,PRHODREF,PUM,PVM, PTKEM, &
PEXNM,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 )
! #################################################################
!!
!!**** *COMPUTE_UPDRAF_RAHA* - calculates caracteristics of the updraft
!!
!!
!! PURPOSE
!! -------
!!**** The purpose of this routine is to build the updraft following Rio et al (2010)
!! Same as compute_updraft_rhcj10 exept the use of Hourdin et al closure
!!
!
!!** METHOD
!! ------
!!
!! EXTERNAL
!! --------
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!!
!! !! REFERENCE
!! ---------
!! Rio et al (2010) (Boundary Layer Meteorol 135:469-483)
!! Hourdin et al (xxxx)
!!
!! AUTHOR
!! ------
!! Y. Bouteloup (2012)
!! R. Honnert Janv 2013 ==> corection of some coding bugs
!! Y. Bouteloup Janv 2014 ==> Allow the use of loops in the both direction
!! --------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
USE MODD_CST
USE MODD_PARAM_MFSHALL_n
USE MODI_TH_R_FROM_THL_RT_1D
USE MODI_SHUMAN_MF
IMPLICIT NONE
!* 1.1 Declaration of Arguments
!
!
!
INTEGER, INTENT(IN) :: KKA ! near ground array index
INTEGER, INTENT(IN) :: KKB ! near ground physical index
INTEGER, INTENT(IN) :: KKE ! uppest atmosphere physical index
INTEGER, INTENT(IN) :: KKU ! uppest atmosphere array index
INTEGER, INTENT(IN) :: KKL ! +1 if grid goes from ground to atmosphere top, -1 otherwise
CHARACTER*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) :: OMIXUV ! True if mixing of momentum
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(:,:), INTENT(IN) :: PZZ ! Height at the flux point
REAL, DIMENSION(:,:), INTENT(IN) :: PDZZ ! Metrics coefficient
REAL, DIMENSION(:), INTENT(IN) :: PSFTH,PSFRV
! normal surface fluxes of theta,rv,(u,v) parallel to the orography
!
REAL, DIMENSION(:,:), INTENT(IN) :: PPABSM ! Pressure at t-dt
REAL, DIMENSION(:,:), INTENT(IN) :: PRHODREF ! dry density of the
! reference state
REAL, DIMENSION(:,:), INTENT(IN) :: PUM ! u mean wind
REAL, DIMENSION(:,:), INTENT(IN) :: PVM ! v mean wind
REAL, DIMENSION(:,:), INTENT(IN) :: PTKEM ! TKE at t-dt
REAL, DIMENSION(:,:), INTENT(IN) :: PEXNM ! Exner function at t-dt
REAL, DIMENSION(:,:), INTENT(IN) :: PTHM ! liquid pot. temp. at t-dt
REAL, DIMENSION(:,:), INTENT(IN) :: PRVM ! vapor mixing ratio at t-dt
REAL, DIMENSION(:,:), INTENT(IN) :: PTHLM,PRTM ! cons. var. at t-dt
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSVM ! scalar var. at t-dt
REAL, DIMENSION(:,:), INTENT(OUT) :: PTHL_UP,PRT_UP ! updraft properties
REAL, DIMENSION(:,:), INTENT(OUT) :: PU_UP, PV_UP ! updraft wind components
REAL, DIMENSION(:,:), INTENT(INOUT):: PRV_UP,PRC_UP ! updraft rv, rc
REAL, DIMENSION(:,:), INTENT(INOUT):: PRI_UP,PTHV_UP ! updraft ri, THv
REAL, DIMENSION(:,:), INTENT(INOUT):: PW_UP,PFRAC_UP ! updraft w, fraction
REAL, DIMENSION(:,:), INTENT(INOUT):: PFRAC_ICE_UP ! liquid/solid fraction in updraft
REAL, DIMENSION(:,:), INTENT(INOUT):: PRSAT_UP ! Rsat
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PSV_UP ! updraft scalar var.
REAL, DIMENSION(:,:), INTENT(INOUT):: PEMF,PDETR,PENTR ! Mass_flux,
! detrainment,entrainment
REAL, DIMENSION(:,:), INTENT(INOUT) :: PBUO_INTEG ! Integrated Buoyancy
INTEGER, DIMENSION(:), INTENT(INOUT):: KKLCL,KKETL,KKCTL! LCL, ETL, CTL
REAL, DIMENSION(:), INTENT(OUT) :: PDEPTH ! Deepness of cloud
! 1.2 Declaration of local variables
!
!
! Mean environment variables at t-dt at flux point
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: ZTHM_F,ZRVM_F,ZRCM_F ! Theta,rv of
! updraft environnement
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: ZRTM_F, ZTHLM_F, ZTKEM_F ! rt, thetal,TKE,pressure,
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: ZUM_F,ZVM_F,ZRHO_F ! density,momentum
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: ZPRES_F,ZTHVM_F,ZTHVM ! interpolated at the flux point
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: ZG_O_THVREF ! g*ThetaV ref
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: ZW_UP2 ! w**2 of the updraft
REAL, DIMENSION(SIZE(PSVM,1),SIZE(PTHM,2),SIZE(PSVM,3)) :: ZSVM_F ! scalar variables
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: ZTH_UP ! updraft THETA
REAL, DIMENSION(SIZE(PTHM,1)) :: ZT_UP ! updraft T
REAL, DIMENSION(SIZE(PTHM,1)) :: ZLVOCPEXN ! updraft L
REAL, DIMENSION(SIZE(PTHM,1)) :: ZCP ! updraft cp
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: ZBUO ! Buoyancy
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: ZTHS_UP,ZTHSM
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: ZCOEF ! diminution coefficient for too high clouds
REAL, DIMENSION(SIZE(PSFTH,1) ) :: ZWTHVSURF ! Surface w'thetav'
REAL :: ZRDORV ! RD/RV
REAL :: ZRVORD ! RV/RD
REAL, DIMENSION(SIZE(PTHM,1)) :: ZMIX1,ZMIX2,ZMIX3
REAL, DIMENSION(SIZE(PTHM,1)) :: ZLUP ! Upward Mixing length from the ground
REAL, DIMENSION(SIZE(PTHM,1)) :: ZDEPTH ! Deepness limit for cloud
INTEGER :: ISV ! Number of scalar variables
INTEGER :: IKU,IIJU ! array size in k
INTEGER :: JK,JI,JJ,JSV ! loop counters
LOGICAL, DIMENSION(SIZE(PTHM,1)) :: 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(SIZE(PTHM,1)) :: GWORK1
LOGICAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: GWORK2
INTEGER :: ITEST
REAL, DIMENSION(SIZE(PTHM,1)) :: ZRC_UP, ZRI_UP, ZRV_UP, ZWP2, ZRSATW, ZRSATI
LOGICAL, DIMENSION(SIZE(PTHM,1)) :: GTEST_FER
REAL, DIMENSION(SIZE(PTHM,1)) :: ZPHI,ZALIM_STAR_TOT
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: ZDTHETASDZ,ZALIM_STAR,ZZDZ,ZZZ
INTEGER, DIMENSION(SIZE(PTHM,1)) :: IALIM
REAL, DIMENSION(SIZE(PTHM,1)) :: ZTEST,ZDZ,ZWUP_MEAN !
REAL, DIMENSION(SIZE(PTHM,1)) :: ZCOE,ZWCOE,ZBUCOE
REAL, DIMENSION(SIZE(PTHM,1)) :: ZDETR_BUO, ZDETR_RT
REAL, DIMENSION(SIZE(PTHM,1)) :: ZW_MAX ! w**2 max of the updraft
REAL, DIMENSION(SIZE(PTHM,1)) :: ZZTOP ! Top of the updraft
REAL, DIMENSION(SIZE(PTHM,1)) :: ZA,ZB,ZQTM,ZQT_UP
REAL :: ZDEPTH_MAX1, ZDEPTH_MAX2 ! control auto-extinction process
REAL :: ZTMAX,ZRMAX, ZEPS ! control value
! Thresholds for the perturbation of
! theta_l and r_t at the first level of the updraft
ZTMAX=2.0
ZRMAX=1.E-3
ZEPS=1.E-15
!------------------------------------------------------------------------
! INITIALISATION
! Initialisation of the constants
ZRDORV = XRD / XRV !=0.622
ZRVORD = (XRV / XRD)
ZDEPTH_MAX1=4500. ! clouds with depth infeRIOr to this value are keeped untouched
ZDEPTH_MAX2=5000. ! clouds with depth superior to this value are suppressed
! Local variables, internal domain
! Internal Domain
IKU=SIZE(PTHM,2)
IIJU =SIZE(PTHM,1)
!number of scalar variables
ISV=SIZE(PSVM,3)
! Initialisation of intersesting Level :LCL,ETL,CTL
KKLCL(:)=KKE
KKETL(:)=KKE
KKCTL(:)=KKE
!
! Initialisation
!* udraft governing variables
PEMF(:,:)=0.
PDETR(:,:)=0.
PENTR(:,:)=0.
! Initialisation
!* updraft core variables
PRV_UP(:,:)=0.
PRC_UP(:,:)=0.
PW_UP(:,:)=0.
ZTH_UP(:,:)=0.
PFRAC_UP(:,:)=0.
PTHV_UP(:,:)=0.
PBUO_INTEG=0.
ZBUO =0.
!no ice cloud coded yet
PRI_UP(:,:)=0.
PFRAC_ICE_UP(:,:)=0.
PRSAT_UP(:,:)=PRVM(:,:) ! should be initialised correctly but is (normaly) not used
! Initialisation of environment variables at t-dt
! variables at flux level
ZTHLM_F(:,:) = MZM_MF(KKA,KKU,KKL,PTHLM(:,:))
ZRTM_F (:,:) = MZM_MF(KKA,KKU,KKL,PRTM(:,:))
ZUM_F (:,:) = MZM_MF(KKA,KKU,KKL,PUM(:,:))
ZVM_F (:,:) = MZM_MF(KKA,KKU,KKL,PVM(:,:))
ZTKEM_F(:,:) = MZM_MF(KKA,KKU,KKL,PTKEM(:,:))
!DO JSV=1,ISV
! IF (ONOMIXLG .AND. JSV >= KSV_LGBEG .AND. JSV<= KSV_LGEND) CYCLE
! ZSVM_F(:,KKB:IKU,JSV) = 0.5*(PSVM(:,KKB:IKU,JSV)+PSVM(:,1:IKU-1,JSV))
! ZSVM_F(:,1,JSV) = ZSVM_F(:,KKB,JSV)
!END DO
! Initialisation of updraft characteristics
PTHL_UP(:,:)=ZTHLM_F(:,:)
PRT_UP(:,:)=ZRTM_F(:,:)
PU_UP(:,:)=ZUM_F(:,:)
PV_UP(:,:)=ZVM_F(:,:)
PSV_UP(:,:,:)=0.
!IF (ONOMIXLG .AND. JSV >= KSV_LGBEG .AND. JSV<= KSV_LGEND) then
! PSV_UP(:,:,:)=ZSVM_F(:,:,:)
!ENDIF
! Computation or initialisation of updraft characteristics at the KKB level
! thetal_up,rt_up,thetaV_up, w�,Buoyancy term and mass flux (PEMF)
PTHL_UP(:,KKB)= ZTHLM_F(:,KKB)+MAX(0.,MIN(ZTMAX,(PSFTH(:)/SQRT(ZTKEM_F(:,KKB)))*XALP_PERT))
PRT_UP(:,KKB) = ZRTM_F(:,KKB)+MAX(0.,MIN(ZRMAX,(PSFRV(:)/SQRT(ZTKEM_F(:,KKB)))*XALP_PERT))
ZQT_UP(:) = PRT_UP(:,KKB)/(1.+PRT_UP(:,KKB))
ZTHS_UP(:,KKB)=PTHL_UP(:,KKB)*(1.+XLAMBDA_MF*ZQT_UP(:))
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ZTHM_F (:,:) = MZM_MF(KKA,KKU,KKL,PTHM (:,:))
ZPRES_F(:,:) = MZM_MF(KKA,KKU,KKL,PPABSM(:,:))
ZRHO_F (:,:) = MZM_MF(KKA,KKU,KKL,PRHODREF(:,:))
ZRVM_F (:,:) = MZM_MF(KKA,KKU,KKL,PRVM(:,:))
! thetav at mass and flux levels
ZTHVM_F(:,:)=ZTHM_F(:,:)*((1.+ZRVORD*ZRVM_F(:,:))/(1.+ZRTM_F(:,:)))
ZTHVM(:,:)=PTHM(:,:)*((1.+ZRVORD*PRVM(:,:))/(1.+PRTM(:,:)))
PTHV_UP(:,:)= ZTHVM_F(:,:)
PRV_UP (:,:)= ZRVM_F (:,:)
ZW_UP2(:,:)=ZEPS
ZW_UP2(:,KKB) = MAX(0.0001,(1./6.)*ZTKEM_F(:,KKB))
GTEST = (ZW_UP2(:,KKB) > ZEPS)
! Computation of non conservative variable for the KKB level of the updraft
! (all or nothing ajustement)
PRC_UP(:,KKB)=0.
PRI_UP(:,KKB)=0.
CALL TH_R_FROM_THL_RT_1D(HFRAC_ICE,PFRAC_ICE_UP(:,KKB),ZPRES_F(:,KKB), &
PTHL_UP(:,KKB),PRT_UP(:,KKB),ZTH_UP(:,KKB), &
PRV_UP(:,KKB),PRC_UP(:,KKB),PRI_UP(:,KKB),ZRSATW(:),ZRSATI(:))
! compute updraft thevav and buoyancy term at KKB level
PTHV_UP(:,KKB) = ZTH_UP(:,KKB)*((1+ZRVORD*PRV_UP(:,KKB))/(1+PRT_UP(:,KKB)))
! compute mean rsat in updraft
PRSAT_UP(:,KKB) = ZRSATW(:)*(1-PFRAC_ICE_UP(:,KKB)) + ZRSATI(:)*PFRAC_ICE_UP(:,KKB)
!Tout est commente pour tester dans un premier temps la s�paration en deux de la
! boucle verticale, une pour w et une pour PEMF
ZG_O_THVREF=XG/ZTHVM_F
! Definition de l'alimentation au sens de la fermeture de Hourdin et al
ZALIM_STAR(:,:) = 0.
ZALIM_STAR_TOT(:) = 0. ! <== Normalization of ZALIM_STAR
IALIM(:) = KKB ! <== Top level of the alimentation layer
DO JK=KKB,KKE-KKL,KKL ! Vertical loop
ZZDZ(:,JK) = MAX(ZEPS,PZZ(:,JK+KKL)-PZZ(:,JK)) ! <== Delta Z between two flux level
ZZZ(:,JK) = MAX(0.,0.5*(PZZ(:,JK+KKL)+PZZ(:,JK)) ) ! <== Hight of mass levels
ZDTHETASDZ(:,JK) = (ZTHVM_F(:,JK)-ZTHVM_F(:,JK+KKL)) ! <== Delta theta_v
WHERE ((ZTHVM_F(:,JK+KKL)<ZTHVM_F(:,JK)) .AND. (ZTHVM_F(:,KKB)>=ZTHVM_F(:,JK)))
ZALIM_STAR(:,JK) = SQRT(ZZZ(:,JK))*ZDTHETASDZ(:,JK)/ZZDZ(:,JK)
ZALIM_STAR_TOT(:) = ZALIM_STAR_TOT(:)+ZALIM_STAR(:,JK)*ZZDZ(:,JK)
IALIM(:) = JK
ENDWHERE
ENDDO
! Normalization of ZALIM_STAR
DO JK=KKB,KKE-KKL,KKL ! Vertical loop
WHERE (ZALIM_STAR_TOT > ZEPS)
ZALIM_STAR(:,JK) = ZALIM_STAR(:,JK)/ZALIM_STAR_TOT(:)
ENDWHERE
ENDDO
ZALIM_STAR_TOT(:) = 0.
! --------- END of alimentation calculation ---------------------------------------
!--------------------------------------------------------------------------
! 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 to compute W
ZW_MAX(:) = 0.
ZZTOP(:) = 0.
ZPHI(:) = 0.
DO JK=KKB,KKE-KKL,KKL
! IF the updraft top is reached for all column, stop the loop on levels
! ITEST=COUNT(GTEST)
! IF (ITEST==0) CYCLE
! 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)
WHERE ((PRC_UP(:,JK)+PRI_UP(:,JK)>0.).AND.(.NOT.(GTESTLCL)))
KKLCL(:) = JK
GTESTLCL(:)=.TRUE.
ENDWHERE
! COMPUTE PENTR and PDETR at mass level JK
! Buoyancy is computed on "flux" levels where updraft variables are known
! Compute theta_v of updraft at flux level JK
ZRC_UP(:) = PRC_UP(:,JK)
ZRI_UP(:) = PRI_UP(:,JK) ! guess
ZRV_UP(:) = PRV_UP(:,JK)
ZBUO (:,JK) = ZG_O_THVREF(:,JK)*(PTHV_UP(:,JK) - ZTHVM_F(:,JK))
PBUO_INTEG(:,JK) = ZBUO(:,JK)*(PZZ(:,JK+KKL)-PZZ(:,JK))
ZDZ(:) = MAX(ZEPS,PZZ(:,JK+KKL)-PZZ(:,JK))
ZTEST(:) = XA1*ZBUO(:,JK) - XB*ZW_UP2(:,JK)
ZCOE(:) = ZDZ(:)
WHERE (ZTEST(:)>0.)
ZCOE(:) = ZDZ(:)/(1.+ XBETA1)
ENDWHERE
! Calcul de la vitesse
ZWCOE(:) = (1.-XB*ZCOE(:))/(1.+XB*ZCOE(:))
ZBUCOE(:) = 2.*ZCOE(:)/(1.+XB*ZCOE(:))
ZW_UP2(:,JK+KKL) = MAX(ZEPS,ZW_UP2(:,JK)*ZWCOE(:) + XA1*ZBUO(:,JK)*ZBUCOE(:) )
ZW_MAX(:) = MAX(ZW_MAX(:), SQRT(ZW_UP2(:,JK+KKL)))
ZWUP_MEAN(:) = MAX(ZEPS,0.5*(ZW_UP2(:,JK+KKL)+ZW_UP2(:,JK)))
! Entrainement et detrainement
PENTR(:,JK) = MAX(0.,(XBETA1/(1.+XBETA1))*(XA1*ZBUO(:,JK)/ZWUP_MEAN(:)-XB))
ZDETR_BUO(:) = MAX(0., -(XBETA1/(1.+XBETA1))*XA1*ZBUO(:,JK)/ZWUP_MEAN(:))
ZDETR_RT(:) = XC*SQRT(MAX(0.,(PRT_UP(:,JK) - ZRTM_F(:,JK))) / MAX(ZEPS,ZRTM_F(:,JK)) / ZWUP_MEAN(:))
PDETR(:,JK) = ZDETR_RT(:)+ZDETR_BUO(:)
! If the updraft did not stop, compute cons updraft characteritics at jk+1
WHERE(GTEST)
ZZTOP(:) = MAX(ZZTOP(:),PZZ(:,JK+KKL))
ZMIX2(:) = (PZZ(:,JK+KKL)-PZZ(:,JK))*PENTR(:,JK) !&
ZMIX3(:) = (PZZ(:,JK+KKL)-PZZ(:,JK))*PDETR(:,JK) !&
ZQTM(:) = PRTM(:,JK)/(1.+PRTM(:,JK))
ZTHSM(:,JK) = PTHLM(:,JK)*(1.+XLAMBDA_MF*ZQTM(:))
ZTHS_UP(:,JK+KKL)=(ZTHS_UP(:,JK)*(1.-0.5*ZMIX2(:)) + ZTHSM(:,JK)*ZMIX2(:)) &
/(1.+0.5*ZMIX2(:))
PRT_UP(:,JK+KKL)=(PRT_UP (:,JK)*(1.-0.5*ZMIX2(:)) + PRTM(:,JK)*ZMIX2(:)) &
/(1.+0.5*ZMIX2(:))
ZQT_UP(:) = PRT_UP(:,JK+KKL)/(1.+PRT_UP(:,JK+KKL))
PTHL_UP(:,JK+KKL)=ZTHS_UP(:,JK+KKL)/(1.+XLAMBDA_MF*ZQT_UP(:))
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ENDWHERE
IF(OMIXUV) THEN
IF(JK/=KKB) THEN
WHERE(GTEST)
PU_UP(:,JK+KKL) = (PU_UP (:,JK)*(1-0.5*ZMIX2(:)) + PUM(:,JK)*ZMIX2(:)+ &
0.5*XPRES_UV*(PZZ(:,JK+KKL)-PZZ(:,JK))*&
((PUM(:,JK+KKL)-PUM(:,JK))/PDZZ(:,JK+KKL)+&
(PUM(:,JK)-PUM(:,JK-KKL))/PDZZ(:,JK)) ) &
/(1+0.5*ZMIX2(:))
PV_UP(:,JK+KKL) = (PV_UP (:,JK)*(1-0.5*ZMIX2(:)) + PVM(:,JK)*ZMIX2(:)+ &
0.5*XPRES_UV*(PZZ(:,JK+KKL)-PZZ(:,JK))*&
((PVM(:,JK+KKL)-PVM(:,JK))/PDZZ(:,JK+KKL)+&
(PVM(:,JK)-PVM(:,JK-KKL))/PDZZ(:,JK)) ) &
/(1+0.5*ZMIX2(:))
ENDWHERE
ELSE
WHERE(GTEST)
PU_UP(:,JK+KKL) = (PU_UP (:,JK)*(1-0.5*ZMIX2(:)) + PUM(:,JK)*ZMIX2(:)+ &
0.5*XPRES_UV*(PZZ(:,JK+KKL)-PZZ(:,JK))*&
((PUM(:,JK+KKL)-PUM(:,JK))/PDZZ(:,JK+KKL)) ) &
/(1+0.5*ZMIX2(:))
PV_UP(:,JK+KKL) = (PV_UP (:,JK)*(1-0.5*ZMIX2(:)) + PVM(:,JK)*ZMIX2(:)+ &
0.5*XPRES_UV*(PZZ(:,JK+KKL)-PZZ(:,JK))*&
((PVM(:,JK+KKL)-PVM(:,JK))/PDZZ(:,JK+KKL)) ) &
/(1+0.5*ZMIX2(:))
ENDWHERE
ENDIF
ENDIF
! DO JSV=1,ISV
! IF (ONOMIXLG .AND. JSV >= KSV_LGBEG .AND. JSV<= KSV_LGEND) CYCLE
! WHERE(GTEST)
! PSV_UP(:,JK+KKL,JSV) = (PSV_UP (:,JK,JSV)*(1-0.5*ZMIX2(:)) + &
! PSVM(:,JK,JSV)*ZMIX2(:)) /(1+0.5*ZMIX2(:))
! ENDWHERE
! ENDDO
! Compute non cons. var. at level JK+KKL
ZRC_UP(:)=PRC_UP(:,JK) ! guess = level just below
ZRI_UP(:)=PRI_UP(:,JK) ! guess = level just below
ZRV_UP(:)=PRV_UP(:,JK)
CALL TH_R_FROM_THL_RT_1D(HFRAC_ICE,PFRAC_ICE_UP(:,JK+KKL),ZPRES_F(:,JK+KKL), &
PTHL_UP(:,JK+KKL),PRT_UP(:,JK+KKL),ZTH_UP(:,JK+KKL), &
ZRV_UP(:),ZRC_UP(:),ZRI_UP(:),ZRSATW(:),ZRSATI(:))
WHERE(GTEST)
ZT_UP(:) = ZTH_UP(:,JK+KKL)*PEXNM(:,JK+KKL)
ZCP(:) = XCPD + XCL * ZRC_UP(:)
ZLVOCPEXN(:)=(XLVTT + (XCPV-XCL) * (ZT_UP(:)-XTT) ) / ZCP(:) / PEXNM(:,JK+KKL)
PRC_UP(:,JK+KKL)=MIN(0.5E-3,ZRC_UP(:)) ! On ne peut depasser 0.5 g/kg (autoconversion donc elimination !)
PTHL_UP(:,JK+KKL) = PTHL_UP(:,JK+KKL)+ZLVOCPEXN(:)*(ZRC_UP(:)-PRC_UP(:,JK+KKL))
PRV_UP(:,JK+KKL)=ZRV_UP(:)
PRI_UP(:,JK+KKL)=ZRI_UP(:)
PRT_UP(:,JK+KKL) = PRC_UP(:,JK+KKL) + PRV_UP(:,JK+KKL)
PRSAT_UP(:,JK+KKL) = ZRSATW(:)*(1-PFRAC_ICE_UP(:,JK+KKL)) + ZRSATI(:)*PFRAC_ICE_UP(:,JK+KKL)
ENDWHERE
! Compute the updraft theta_v, buoyancy and w**2 for level JK+1
WHERE(GTEST)
! PTHV_UP(:,JK+KKL) = ZTH_UP(:,JK+KKL)*((1+ZRVORD*PRV_UP(:,JK+KKL))/(1+PRT_UP(:,JK+KKL)))
PTHV_UP(:,JK+KKL) = ZTH_UP(:,JK+KKL)*(1.+0.608*PRV_UP(:,JK+KKL) - PRC_UP(:,JK+KKL))
ENDWHERE
! Test if the updraft has reach the ETL
GTESTETL(:)=.FALSE.
WHERE (GTEST.AND.(PBUO_INTEG(:,JK)<=0.))
KKETL(:) = JK+KKL
GTESTETL(:)=.TRUE.
ENDWHERE
! Test is we have reached the top of the updraft
WHERE (GTEST.AND.((ZW_UP2(:,JK+KKL)<=ZEPS)))
ZW_UP2(:,JK+KKL)=ZEPS
GTEST(:)=.FALSE.
PTHL_UP(:,JK+KKL)=ZTHLM_F(:,JK+KKL)
PRT_UP(:,JK+KKL)=ZRTM_F(:,JK+KKL)
PRC_UP(:,JK+KKL)=0.
PRI_UP(:,JK+KKL)=0.
PRV_UP(:,JK+KKL)=0.
PTHV_UP(:,JK+KKL)=ZTHVM_F(:,JK+KKL)
PFRAC_UP(:,JK+KKL)=0.
KKCTL(:)=JK+KKL
ENDWHERE
ENDDO
! Closure assumption for mass flux at KKB+1 level (Mass flux is supposed to be 0 at KKB level !)
! Hourdin et al 2002 formulation
ZZTOP(:) = MAX(ZZTOP(:),ZEPS)
DO JK=KKB+KKL,KKE-KKL,KKL ! Vertical loop
WHERE(JK<=IALIM)
ZALIM_STAR_TOT(:) = ZALIM_STAR_TOT(:) + ZALIM_STAR(:,JK)*ZALIM_STAR(:,JK)*ZZDZ(:,JK)/PRHODREF(:,JK)
ENDWHERE
ENDDO
WHERE (ZALIM_STAR_TOT*ZZTOP > ZEPS)
ZPHI(:) = ZW_MAX(:)/(XR*ZZTOP(:)*ZALIM_STAR_TOT(:))
ENDWHERE
GTEST(:) = .TRUE.
PEMF(:,KKB+KKL) = ZPHI(:)*ZZDZ(:,KKB)*ZALIM_STAR(:,KKB)
! Updraft fraction must be smaller than XFRAC_UP_MAX
PFRAC_UP(:,KKB+KKL)=PEMF(:,KKB+KKL)/(SQRT(ZW_UP2(:,KKB+KKL))*ZRHO_F(:,KKB+KKL))
PFRAC_UP(:,KKB+KKL)=MIN(XFRAC_UP_MAX,PFRAC_UP(:,KKB+KKL))
PEMF(:,KKB+KKL) = ZRHO_F(:,KKB+KKL)*PFRAC_UP(:,KKB+KKL)*SQRT(ZW_UP2(:,KKB+KKL))
DO JK=KKB+KKL,KKE-KKL,KKL ! Vertical loop
GTEST = (ZW_UP2(:,JK) > ZEPS)
WHERE (GTEST)
WHERE(JK<IALIM)
PEMF(:,JK+KKL) = MAX(0.,PEMF(:,JK) + ZPHI(:)*ZZDZ(:,JK)*(PENTR(:,JK) - PDETR(:,JK)))
ELSEWHERE
ZMIX1(:)=ZZDZ(:,JK)*(PENTR(:,JK)-PDETR(:,JK))
PEMF(:,JK+KKL)=PEMF(:,JK)*EXP(ZMIX1(:))
ENDWHERE
! Updraft fraction must be smaller than XFRAC_UP_MAX
PFRAC_UP(:,JK+KKL)=PEMF(:,JK+KKL)/(SQRT(ZW_UP2(:,JK+KKL))*ZRHO_F(:,JK+KKL))
PFRAC_UP(:,JK+KKL)=MIN(XFRAC_UP_MAX,PFRAC_UP(:,JK+KKL))
PEMF(:,JK+KKL) = ZRHO_F(:,JK+KKL)*PFRAC_UP(:,JK+KKL)*SQRT(ZW_UP2(:,JK+KKL))
ENDWHERE
ENDDO
PW_UP(:,:)=SQRT(ZW_UP2(:,:))
PEMF(:,KKB) =0.
! Limits the shallow convection scheme when cloud heigth is higher than 3000m.
! To do this, mass flux is multiplied by a coefficient decreasing linearly
! from 1 (for clouds of 3000m of depth) to 0 (for clouds of 4000m of depth).
! This way, all MF fluxes are diminished by this amount.
! Diagnosed cloud fraction is also multiplied by the same coefficient.
!
DO JI=1,SIZE(PTHM,1)
PDEPTH(JI) = MAX(0., PZZ(JI,KKCTL(JI)) - PZZ(JI,KKLCL(JI)) )
END DO
GWORK1(:)= (GTESTLCL(:) .AND. (PDEPTH(:) > ZDEPTH_MAX1) )
GWORK2(:,:) = SPREAD( GWORK1(:), DIM=2, NCOPIES=IKU )
ZCOEF(:,:) = SPREAD( (1.-(PDEPTH(:)-ZDEPTH_MAX1)/(ZDEPTH_MAX2-ZDEPTH_MAX1)), DIM=2, NCOPIES=IKU)
ZCOEF=MIN(MAX(ZCOEF,0.),1.)
WHERE (GWORK2)
PEMF(:,:) = PEMF(:,:) * ZCOEF(:,:)
PFRAC_UP(:,:) = PFRAC_UP(:,:) * ZCOEF(:,:)
ENDWHERE
END SUBROUTINE COMPUTE_UPDRAFT_RAHA