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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.
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! ######spl
MODULE MODI_COMPUTE_UPDRAFT
! ###########################
!
INTERFACE
!
! #################################################################
SUBROUTINE COMPUTE_UPDRAFT(KKA,KKB,KKE,KKU,KKL, HFRAC_ICE, &
OENTR_DETR,OMIXUV, &
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)
! #################################################################
!
!* 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) :: 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
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(:,:,:), INTENT(OUT) :: PSV_UP ! updraft scalar var.
REAL, DIMENSION(:,:), INTENT(INOUT):: PEMF,PDETR,PENTR ! Mass_flux,
! entrainment, detrainment
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
END INTERFACE
!
END MODULE MODI_COMPUTE_UPDRAFT
! ######spl
SUBROUTINE COMPUTE_UPDRAFT(KKA,KKB,KKE,KKU,KKL,HFRAC_ICE, &
OENTR_DETR,OMIXUV, &
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 )
! #################################################################
!!
!!**** *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
!! --------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
!
USE MODD_CST
USE MODD_PARAM_MFSHALL_n
USE MODI_COMPUTE_ENTR_DETR
USE MODI_TH_R_FROM_THL_RT_1D
USE MODI_SHUMAN_MF
USE MODI_COMPUTE_BL89_ML
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
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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) :: 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
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(:,:,:), 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 ! Theta,rv of
! updraft environnement
REAL, DIMENSION(SIZE(PTHM,1),SIZE(PTHM,2)) :: &
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
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
ZRC_MIX, ZRI_MIX ! guess of Rc and Ri for KF mixture
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
INTEGER :: ISV ! Number of scalar variables
INTEGER :: JK,JI,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, ZRSATW, ZRSATI
REAL :: ZDEPTH_MAX1, ZDEPTH_MAX2 ! control auto-extinction process
REAL :: ZTMAX,ZRMAX ! 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
!------------------------------------------------------------------------
! INITIALISATION
! Initialisation of the constants
ZRDORV = XRD / XRV !=0.622
ZRVORD = (XRV / 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
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!number of scalar variables
ISV=SIZE(PSVM,3)
IF (OENTR_DETR) THEN
! 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.
PRI_UP(:,:)=0.
PW_UP(:,:)=0.
ZTH_UP(:,:)=0.
PFRAC_UP(:,:)=0.
PTHV_UP(:,:)=0.
PBUO_INTEG=0.
PFRAC_ICE_UP(:,:)=0.
PRSAT_UP(:,:)=PRVM(:,:) ! should be initialised correctly but is (normaly) not used
!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
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(:,:,JSV) = MZM_MF(KKA,KKU,KKL,PSVM(:,:,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(:,:,:)=ZSVM_F(:,:,:)
! Computation or initialisation of updraft characteristics at the KKB level
! thetal_up,rt_up,thetaV_up, w2,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))
IF (OENTR_DETR) THEN
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(:,:)
ZW_UP2(:,:)=0.
ZW_UP2(:,KKB) = MAX(0.0001,(2./3.)*ZTKEM_F(:,KKB))
! 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)
! Closure assumption for mass flux at KKB level
!
ZG_O_THVREF=XG/ZTHVM_F
! compute L_up
GLMIX=.TRUE.
ZTKEM_F(:,KKB)=0.
CALL COMPUTE_BL89_ML(KKA,KKB,KKE,KKU,KKL,PDZZ,ZTKEM_F,ZG_O_THVREF,ZTHVM_F,KKB,GLMIX,ZLUP)
ZLUP(:)=MAX(ZLUP(:),1.E-10)
! Compute Buoyancy flux at the ground
ZWTHVSURF(:) = (ZTHVM_F(:,KKB)/ZTHM_F(:,KKB))*PSFTH(:)+ &
(0.61*ZTHM_F(:,KKB))*PSFRV(:)
! Mass flux at KKB level (updraft triggered if PSFTH>0.)
WHERE (ZWTHVSURF(:)>0.)
PEMF(:,KKB) = XCMF * ZRHO_F(:,KKB) * ((ZG_O_THVREF(:,KKB))*ZWTHVSURF*ZLUP)**(1./3.)
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PFRAC_UP(:,KKB)=MIN(PEMF(:,KKB)/(SQRT(ZW_UP2(:,KKB))*ZRHO_F(:,KKB)),XFRAC_UP_MAX)
ZW_UP2(:,KKB)=(PEMF(:,KKB)/(PFRAC_UP(:,KKB)*ZRHO_F(:,KKB)))**2
GTEST(:)=.TRUE.
ELSEWHERE
PEMF(:,KKB) =0.
GTEST(:)=.FALSE.
ENDWHERE
ELSE
GTEST(:)=PEMF(:,KKB+KKL)>0.
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
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
IF (OENTR_DETR) THEN
IF(JK/=KKB) THEN
ZRC_MIX(:,JK) = ZRC_MIX(:,JK-KKL) ! guess of Rc of mixture
ZRI_MIX(:,JK) = ZRI_MIX(:,JK-KKL) ! guess of Ri of mixture
ENDIF
CALL COMPUTE_ENTR_DETR(JK,KKB,KKE,KKL,GTEST,GTESTLCL,HFRAC_ICE,PFRAC_ICE_UP(:,JK),&
PPABSM(:,:),PZZ(:,:),PDZZ(:,:),ZTHVM(:,:), &
PTHLM(:,JK),PRTM(:,JK),ZW_UP2(:,:), &
PTHL_UP(:,JK),PRT_UP(:,JK),ZLUP(:), &
PRC_UP(:,JK),PRI_UP(:,JK),ZRC_MIX(:,JK),ZRI_MIX(:,JK), &
PENTR(:,JK),PDETR(:,JK),PBUO_INTEG(:,JK) )
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IF (JK==KKB) THEN
PDETR(:,JK)=0.
ENDIF
! Computation of updraft characteristics at level JK+KKL
WHERE(GTEST)
ZMIX1(:)=0.5*(PZZ(:,JK+KKL)-PZZ(:,JK))*(PENTR(:,JK)-PDETR(:,JK))
PEMF(:,JK+KKL)=PEMF(:,JK)*EXP(2*ZMIX1(:))
ENDWHERE
ELSE
GTEST(:) = (PEMF(:,JK+KKL)>0.)
END IF
! stop the updraft if MF becomes negative
WHERE (GTEST.AND.(PEMF(:,JK+KKL)<=0.))
PEMF(:,JK+KKL)=0.
KKCTL(:) = JK+KKL
GTEST(:)=.FALSE.
PFRAC_ICE_UP(:,JK+KKL)=PFRAC_ICE_UP(:,JK)
PRSAT_UP(:,JK+KKL)=PRSAT_UP(:,JK)
ENDWHERE
! If the updraft did not stop, compute cons updraft characteritics at jk+KKL
WHERE(GTEST)
ZMIX2(:) = (PZZ(:,JK+KKL)-PZZ(:,JK))*PENTR(:,JK) !&
ZMIX3(:) = (PZZ(:,JK+KKL)-PZZ(:,JK))*PDETR(:,JK) !&
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PTHL_UP(:,JK+KKL)=(PTHL_UP(:,JK)*(1.-0.5*ZMIX2(:)) + PTHLM(:,JK)*ZMIX2(:)) &
/(1.+0.5*ZMIX2(:))
PRT_UP(:,JK+KKL) =(PRT_UP (:,JK)*(1.-0.5*ZMIX2(:)) + PRTM(:,JK)*ZMIX2(:)) &
/(1.+0.5*ZMIX2(:))
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
END DO
IF (OENTR_DETR) THEN
! 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
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)
PRC_UP(:,JK+KKL)=ZRC_UP(:)
PRV_UP(:,JK+KKL)=ZRV_UP(:)
PRI_UP(:,JK+KKL)=ZRI_UP(:)
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+KKL
WHERE(GTEST)
PTHV_UP(:,JK+KKL) = ZTH_UP(:,JK+KKL)*((1+ZRVORD*PRV_UP(:,JK+KKL))/(1+PRT_UP(:,JK+KKL)))
WHERE (.NOT.(GTESTLCL))
WHERE (PBUO_INTEG(:,JK)>0.)
ZW_UP2(:,JK+KKL) = ZW_UP2(:,JK) + 2.*(XABUO-XBENTR*XENTR_DRY)* PBUO_INTEG(:,JK)
ENDWHERE
WHERE (PBUO_INTEG(:,JK)<=0.)
ZW_UP2(:,JK+KKL) = ZW_UP2(:,JK) + 2.*XABUO* PBUO_INTEG(:,JK)
ENDWHERE
ENDWHERE
WHERE (GTESTLCL)
ZW_UP2(:,JK+KKL) = ZW_UP2(:,JK)*(1.-(XBDETR*ZMIX3(:)+XBENTR*ZMIX2(:)))&
/(1.+(XBDETR*ZMIX3(:)+XBENTR*ZMIX2(:))) &
+2.*(XABUO)*PBUO_INTEG(:,JK)/(1.+(XBDETR*ZMIX3(:)+XBENTR*ZMIX2(:)))
ENDWHERE
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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)<=0.).OR.(PEMF(:,JK+KKL)<=0.)))
ZW_UP2(:,JK+KKL)=0.
PEMF(:,JK+KKL)=0.
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
! compute frac_up at JK+KKL
WHERE (GTEST)
PFRAC_UP(:,JK+KKL)=PEMF(:,JK+KKL)/(SQRT(ZW_UP2(:,JK+KKL))*ZRHO_F(:,JK+KKL))
ENDWHERE
! Updraft fraction must be smaller than XFRAC_UP_MAX
WHERE (GTEST)
PFRAC_UP(:,JK+KKL)=MIN(XFRAC_UP_MAX,PFRAC_UP(:,JK+KKL))
ENDWHERE
! When cloudy and non-buoyant, updraft fraction must decrease
WHERE ((GTEST.AND.GTESTETL).AND.GTESTLCL)
PFRAC_UP(:,JK+KKL)=MIN(PFRAC_UP(:,JK+KKL),PFRAC_UP(:,JK))
ENDWHERE
! Mass flux is updated with the new updraft fraction
IF (OENTR_DETR) PEMF(:,JK+KKL)=PFRAC_UP(:,JK+KKL)*SQRT(ZW_UP2(:,JK+KKL))*ZRHO_F(:,JK+KKL)
END IF
ENDDO
IF(OENTR_DETR) THEN
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 ZDEPTH_MAX1 m of depth) to 0 (for clouds of ZDEPTH_MAX2 m 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
ENDIF
GWORK1(:)= (GTESTLCL(:) .AND. (PDEPTH(:) > ZDEPTH_MAX1) )
GWORK2(:,:) = SPREAD( GWORK1(:), DIM=2, NCOPIES=MAX(KKU,KKA) )
ZCOEF(:,:) = SPREAD( (1.-(PDEPTH(:)-ZDEPTH_MAX1)/(ZDEPTH_MAX2-ZDEPTH_MAX1)), DIM=2, NCOPIES=SIZE(ZCOEF,2))