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Commit 50d8cac3 authored by RODIER Quentin's avatar RODIER Quentin
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Quentin 05/11/2021: Merge MNH->AROME add RM17, LOCEAN, correction of exponent...

Quentin 05/11/2021: Merge MNH->AROME add RM17, LOCEAN, correction of exponent on final length for bl89, add MNHREAL
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! ######spl
SUBROUTINE BL89(KKA,KKU,KKL,PZZ,PDZZ,PTHVREF,PTHLM,KRR,PRM,PTKEM,PSHEAR,PLM)
USE PARKIND1, ONLY : JPRB
USE YOMHOOK , ONLY : LHOOK, DR_HOOK
! #########################################################
!
!!**** *BL89* -
!!
!! PURPOSE
!! -------
!! This routine computes the mixing length from Bougeault-Lacarrere 89
!! formula.
!!
!!** METHOD
!! ------
!!
!! EXTERNAL
!! --------
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!!
!!
!! REFERENCE
!! ---------
!!
!! Book 2
!!
!! AUTHOR
!! ------
!!
!! J. Cuxart INM and Meteo-France
!!
!! MODIFICATIONS
!! -------------
!! Original 27/04/97 (V. Masson) separation from turb.f90
!! and optimization
!! 06/01/98 (V. Masson and P. Jabouille) optimization
!! 15/03/99 (V. Masson) new lup ldown averaging
!! 21/02/01 (P. Jabouille) improve vectorization
!! 2012-02 (Y. Seity) add possibility to run with
!! reversed vertical levels
!! Philippe 13/02/2018: use ifdef MNH_REAL to prevent problems with intrinsics on Blue Gene/Q
!! 01/2019 (Q. Rodier) support for RM17 mixing length
!! 03/2021 (JL Redelsperger) Ocean model case
!! 06/2021 (P. Marquet) correction of exponent on final length according to Lemarié et al. 2021
!-------------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
!
USE MODD_CONF, ONLY: CPROGRAM
USE MODD_CST
USE MODD_CTURB
USE MODD_DYN_n, ONLY: LOCEAN
USE MODD_PARAMETERS
USE MODD_PRECISION, ONLY: MNHREAL
!
!
IMPLICIT NONE
!
!* 0.1 Declaration of arguments
! ------------------------
!
INTEGER, INTENT(IN) :: KKA !near ground array index
INTEGER, INTENT(IN) :: KKU !uppest atmosphere array index
INTEGER, INTENT(IN) :: KKL !vert. levels type 1=MNH -1=ARO
REAL, DIMENSION(:,:,:), INTENT(IN) :: PZZ
REAL, DIMENSION(:,:,:), INTENT(IN) :: PDZZ
REAL, DIMENSION(:,:,:), INTENT(IN) :: PTHVREF
REAL, DIMENSION(:,:,:), INTENT(IN) :: PTHLM ! conservative pot. temp.
INTEGER, INTENT(IN) :: KRR
REAL, DIMENSION(:,:,:,:), INTENT(IN) :: PRM ! water var.
REAL, DIMENSION(:,:,:), INTENT(IN) :: PTKEM ! TKE
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSHEAR
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PLM ! Mixing length
! thermodynamical variables PTHLM=Theta at the begining
!
!* 0.2 Declaration of local variables
! ------------------------------
!
INTEGER :: IKB,IKE
INTEGER :: IKT ! array size in k direction
INTEGER :: IKTB,IKTE ! start, end of k loops in physical domain
REAL, DIMENSION(SIZE(PTKEM,1)*SIZE(PTKEM,2),SIZE(PTKEM,3)) :: ZVPT ! Virtual Potential Temp at half levels
REAL, DIMENSION(SIZE(PTKEM,1)*SIZE(PTKEM,2),SIZE(PTKEM,3)) :: ZDELTVPT
! Increment of Virtual Potential Temp between two following levels
REAL, DIMENSION(SIZE(PTKEM,1)*SIZE(PTKEM,2),SIZE(PTKEM,3)) :: ZHLVPT
! Virtual Potential Temp at half levels
REAL, DIMENSION(SIZE(PTKEM,1)*SIZE(PTKEM,2)) :: ZLWORK,ZINTE
! ! downwards then upwards vertical displacement,
! ! residual internal energy,
! ! residual potential energy
REAL, DIMENSION(SIZE(PTKEM,1)*SIZE(PTKEM,2),SIZE(PTKEM,3)) :: ZZZ,ZDZZ, &
ZG_O_THVREF, &
ZTHM,ZTKEM,ZLM, &
ZLMDN,ZSHEAR, &
ZSQRT_TKE
! ! input and output arrays packed according one horizontal coord.
REAL, DIMENSION(SIZE(PRM,1)*SIZE(PRM,2),SIZE(PRM,3),SIZE(PRM,4)) :: ZRM
! ! input array packed according one horizontal coord.
REAL, DIMENSION(SIZE(PRM,1)*SIZE(PRM,2),SIZE(PRM,3)) :: ZSUM ! to replace SUM function
!
INTEGER :: IIU,IJU
INTEGER :: J1D ! horizontal loop counter
INTEGER :: JK,JKK ! loop counters
INTEGER :: JRR ! moist loop counter
REAL :: ZRVORD ! Rv/Rd
REAL :: ZPOTE,ZLWORK1,ZLWORK2
REAL :: ZTEST,ZTEST0,ZTESTM ! test for vectorization
REAL :: Z2SQRT2,ZUSRBL89,ZBL89EXP
!-------------------------------------------------------------------------------
!
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('BL89',0,ZHOOK_HANDLE)
Z2SQRT2=2.*SQRT(2.)
IIU=SIZE(PTKEM,1)
IJU=SIZE(PTKEM,2)
!
IKB=KKA+JPVEXT_TURB*KKL
IKE=KKU-JPVEXT_TURB*KKL
!
IKTB = JPVEXT_TURB + 1
IKT = SIZE(PTKEM,3)
IKTE = IKT-JPVEXT_TURB
ZRVORD = XRV / XRD
!
!-------------------------------------------------------------------------------
!
!* 1. pack the horizontal dimensions into one
! ---------------------------------------
!
IF (CPROGRAM=='AROME ') THEN
DO JK=1,IKT
ZZZ (:,JK) = PZZ (:,1,JK)
ZDZZ (:,JK) = PDZZ (:,1,JK)
ZTHM (:,JK) = PTHLM (:,1,JK)
ZTKEM (:,JK) = PTKEM (:,1,JK)
ZG_O_THVREF(:,JK) = XG/PTHVREF(:,1,JK)
END DO
DO JK=1,IKT
DO JRR=1,KRR
ZRM (:,JK,JRR) = PRM (:,1,JK,JRR)
END DO
END DO
ELSE
DO JK=1,IKT
ZZZ (:,JK) = RESHAPE(PZZ (:,:,JK),(/ IIU*IJU /) )
ZDZZ (:,JK) = RESHAPE(PDZZ (:,:,JK),(/ IIU*IJU /) )
ZTHM (:,JK) = RESHAPE(PTHLM (:,:,JK),(/ IIU*IJU /) )
ZSHEAR (:,JK) = RESHAPE(PSHEAR (:,:,JK),(/ IIU*IJU /) )
ZTKEM (:,JK) = RESHAPE(PTKEM (:,:,JK),(/ IIU*IJU /) )
ZG_O_THVREF(:,JK) = RESHAPE(XG/PTHVREF(:,:,JK),(/ IIU*IJU /) )
IF (LOCEAN) ZG_O_THVREF(:,JK) = XG * XALPHAOC
DO JRR=1,KRR
ZRM (:,JK,JRR) = RESHAPE(PRM (:,:,JK,JRR),(/ IIU*IJU /) )
END DO
END DO
END IF
!
ZSQRT_TKE = SQRT(ZTKEM)
!
!ZBL89EXP is defined here because (and not in ini_cturb) because XCED is defined in read_exseg (depending on BL89/RM17)
ZBL89EXP = LOG(16.)/(4.*LOG(XKARMAN)+LOG(XCED)-3.*LOG(XCMFS))
ZUSRBL89 = 1./ZBL89EXP
!-------------------------------------------------------------------------------
!
!* 2. Virtual potential temperature on the model grid
! -----------------------------------------------
!
IF(KRR /= 0) THEN
ZSUM(:,:) = 0.
DO JRR=1,KRR
ZSUM(:,:) = ZSUM(:,:)+ZRM(:,:,JRR)
ENDDO
ZVPT(:,1:)=ZTHM(:,:) * ( 1. + ZRVORD*ZRM(:,:,1) ) &
/ ( 1. + ZSUM(:,:) )
ELSE
ZVPT(:,1:)=ZTHM(:,:)
END IF
!
!!!!!!!!!!!!
!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!! WARNING !!
!!!!!!!!!!!!
!!!!!!!!!!!!
!Any modification done to the following lines and to the sections 4 and
!6 must be copied in compute_bl89_ml routine.
!We do not call directly this routine for numerical performance reasons
!but algorithm must remain the same.
!!!!!!!!!!!!
ZDELTVPT(:,IKTB:IKTE)=ZVPT(:,IKTB:IKTE)-ZVPT(:,IKTB-KKL:IKTE-KKL)
ZDELTVPT(:,KKU)=ZVPT(:,KKU)-ZVPT(:,KKU-KKL)
ZDELTVPT(:,KKA)=0.
WHERE (ABS(ZDELTVPT(:,:))<XLINF)
ZDELTVPT(:,:)=XLINF
END WHERE
!
ZHLVPT(:,IKTB:IKTE)= 0.5 * ( ZVPT(:,IKTB:IKTE)+ZVPT(:,IKTB-KKL:IKTE-KKL) )
ZHLVPT(:,KKU)= 0.5 * ( ZVPT(:,KKU)+ZVPT(:,KKU-KKL) )
ZHLVPT(:,KKA) = ZVPT(:,KKA)
!-------------------------------------------------------------------------------
!
!* 3. loop on model levels
! --------------------
!
DO JK=IKTB,IKTE
!
!-------------------------------------------------------------------------------
!
!* 4. mixing length for a downwards displacement
! ------------------------------------------
ZINTE(:)=ZTKEM(:,JK)
ZLWORK=0.
ZTESTM=1.
DO JKK=JK,IKB,-KKL
IF(ZTESTM > 0.) THEN
ZTESTM=0.
DO J1D=1,IIU*IJU
ZTEST0=0.5+SIGN(0.5,ZINTE(J1D))
!--------- SHEAR + STABILITY -----------
ZPOTE = ZTEST0* &
(-ZG_O_THVREF(J1D,JK)*(ZHLVPT(J1D,JKK)-ZVPT(J1D,JK)) &
+ XRM17*ZSHEAR(J1D,JKK)*ZSQRT_TKE(J1D,JK) &
)*ZDZZ(J1D,JKK)
ZTEST =0.5+SIGN(0.5,ZINTE(J1D)-ZPOTE)
ZTESTM=ZTESTM+ZTEST0
ZLWORK1=ZDZZ(J1D,JKK)
!--------- SHEAR + STABILITY -----------
ZLWORK2 = (ZG_O_THVREF(J1D,JK) *(ZVPT(J1D,JKK) - ZVPT(J1D,JK)) &
-XRM17*ZSHEAR(J1D,JKK)*ZSQRT_TKE(J1D,JK) &
+ sqrt(abs( (XRM17*ZSHEAR(J1D,JKK)*ZSQRT_TKE(J1D,JK) &
+ ( -ZG_O_THVREF(J1D,JK) * (ZVPT(J1D,JKK) - ZVPT(J1D,JK)) ))**2.0 + &
2. * ZINTE(J1D) * &
(ZG_O_THVREF(J1D,JK) * ZDELTVPT(J1D,JKK)/ ZDZZ(J1D,JKK))))) / &
(ZG_O_THVREF(J1D,JK) * ZDELTVPT(J1D,JKK) / ZDZZ(J1D,JKK))
ZLWORK(J1D)=ZLWORK(J1D)+ZTEST0*(ZTEST*ZLWORK1+(1-ZTEST)*ZLWORK2)
ZINTE(J1D) = ZINTE(J1D) - ZPOTE
END DO
ENDIF
END DO
!-------------------------------------------------------------------------------
!
!* 5. intermediate storage of the final mixing length
! -----------------------------------------------
!
ZLMDN(:,JK)=MIN(ZLWORK(:),0.5*(ZZZ(:,JK)+ZZZ(:,JK+KKL))-ZZZ(:,IKB))
!
!-------------------------------------------------------------------------------
!
!* 6. mixing length for an upwards displacement
! -----------------------------------------
!
ZINTE(:)=ZTKEM(:,JK)
ZLWORK=0.
ZTESTM=1.
!
DO JKK=JK+KKL,IKE,KKL
IF(ZTESTM > 0.) THEN
ZTESTM=0.
DO J1D=1,IIU*IJU
!--------- SHEAR + STABILITY -----------
ZPOTE = ZTEST0* &
(ZG_O_THVREF(J1D,JK)*(ZHLVPT(J1D,JKK)-ZVPT(J1D,JK)) &
+XRM17*ZSHEAR(J1D,JKK)*ZSQRT_TKE(J1D,JK) &
)*ZDZZ(J1D,JKK)
ZTEST =0.5+SIGN(0.5,ZINTE(J1D)-ZPOTE)
ZTESTM=ZTESTM+ZTEST0
ZLWORK1=ZDZZ(J1D,JKK)
!--------- SHEAR + STABILITY -----------
ZLWORK2= ( - ZG_O_THVREF(J1D,JK) *(ZVPT(J1D,JKK-KKL) - ZVPT(J1D,JK) ) &
- XRM17*ZSHEAR(J1D,JKK)*ZSQRT_TKE(J1D,JK) &
+ SQRT (ABS( &
(XRM17*ZSHEAR(J1D,JKK)*ZSQRT_TKE(J1D,JK) &
+ ( ZG_O_THVREF(J1D,JK) * (ZVPT(J1D,JKK-KKL) - ZVPT(J1D,JK))) )**2 &
+ 2. * ZINTE(J1D) * &
( ZG_O_THVREF(J1D,JK)* ZDELTVPT(J1D,JKK)/ZDZZ(J1D,JKK))))) / &
(ZG_O_THVREF(J1D,JK) * ZDELTVPT(J1D,JKK) / ZDZZ(J1D,JKK))
ZLWORK(J1D)=ZLWORK(J1D)+ZTEST0*(ZTEST*ZLWORK1+(1-ZTEST)*ZLWORK2)
ZINTE(J1D) = ZINTE(J1D) - ZPOTE
END DO
ENDIF
END DO
!
!-------------------------------------------------------------------------------
!
!* 7. final mixing length
!
DO J1D=1,IIU*IJU
ZLWORK1=MAX(ZLMDN(J1D,JK),1.E-10_MNHREAL)
ZLWORK2=MAX(ZLWORK(J1D),1.E-10_MNHREAL)
ZPOTE = ZLWORK1 / ZLWORK2
ZLWORK2=1.d0 + ZPOTE**ZBL89EXP
ZLM(J1D,JK) = ZLWORK1*(2./ZLWORK2)**ZUSRBL89
END DO
ZLM(:,JK)=MAX(ZLM(:,JK),XLINI)
!-------------------------------------------------------------------------------
!* 8. end of the loop on the vertical levels
! --------------------------------------
!
END DO
!
!-------------------------------------------------------------------------------
!
!* 9. boundaries
! ----------
!
ZLM(:,KKA)=ZLM(:,IKB)
ZLM(:,IKE)=ZLM(:,IKE-KKL)
ZLM(:,KKU)=ZLM(:,IKE-KKL)
!
!-------------------------------------------------------------------------------
!
!* 10. retrieve output array in model coordinates
! ------------------------------------------
!
IF (CPROGRAM=='AROME ') THEN
DO JK=1,IKT
PLM (:,1,JK) = ZLM (:,JK)
END DO
ELSE
DO JK=1,IKT
PLM (:,:,JK) = RESHAPE(ZLM (:,JK), (/ IIU,IJU /) )
END DO
END IF
!
IF (LHOOK) CALL DR_HOOK('BL89',1,ZHOOK_HANDLE)
END SUBROUTINE BL89
! ######spl
SUBROUTINE COMPUTE_BL89_ML(KKA,KKB,KKE,KKU,KKL,PDZZ2D, &
PTKEM_DEP,PG_O_THVREF,PVPT,KK,OUPORDN,OFLUX,PSHEAR,PLWORK)
USE PARKIND1, ONLY : JPRB
USE YOMHOOK , ONLY : LHOOK, DR_HOOK
! ###################################################################
!!
!! COMPUTE_BL89_ML routine to:
!! 1/ compute upward or downward mixing length with BL89 formulation
!!
!! AUTHOR
!! ------
!! J. PERGAUD
!!
!! MODIFICATIONS
!! -------------
!! Original 19/01/06
!! S. Riette Jan 2012: support for both order of vertical levels and cleaning
!! R.Honnert Oct 2016 : Update with AROME
!! Q.Rodier 01/2019 : support RM17 mixing length as in bl89.f90
! P. Wautelet 10/04/2019: replace ABORT and STOP calls by Print_msg
!!
!-------------------------------------------------------------------------------
!
!* 0. DECLARATIONS
!
! ------------
!
!!!!!!!!!!!!
!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!! WARNING !!
!!!!!!!!!!!!
!!!!!!!!!!!!
!Any modification done to this routine must be copied in bl89.f90.
!This routine was inlined in bl89 for numerical performance reasons
!but algorithm must remain the same.
!!!!!!!!!!!!
!
USE MODD_CTURB
USE MODD_PARAMETERS, ONLY: JPVEXT
!
USE MODE_MSG
!
USE MODI_SHUMAN_MF
!
IMPLICIT NONE
!
! 0.1 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
REAL, DIMENSION(:,:), INTENT(IN) :: PDZZ2D ! height difference between two mass levels
REAL, DIMENSION(:), INTENT(IN) :: PTKEM_DEP ! TKE to consume
REAL, DIMENSION(:), INTENT(IN) :: PG_O_THVREF ! g/ThetaVRef at the departure point
REAL, DIMENSION(:,:), INTENT(IN) :: PVPT ! ThetaV on mass levels
INTEGER, INTENT(IN) :: KK ! index of departure level
LOGICAL, INTENT(IN) :: OUPORDN ! switch to compute upward (true) or
! downward (false) mixing length
LOGICAL, INTENT(IN) :: OFLUX ! Computation must be done from flux level
REAL, DIMENSION(:), INTENT(OUT) :: PLWORK ! Resulting mixing length
REAL, DIMENSION(:,:), INTENT(IN) :: PSHEAR ! vertical wind shear for RM17 mixing length
! 0.2 Local variable
!
REAL, DIMENSION(SIZE(PVPT,1)) :: ZLWORK1,ZLWORK2 ! Temporary mixing length
REAL, DIMENSION(SIZE(PVPT,1)) :: ZINTE,ZPOTE ! TKE and potential energy
! between 2 levels
REAL, DIMENSION(SIZE(PVPT,1)) :: ZVPT_DEP ! Thetav on departure point
!
REAL, DIMENSION(SIZE(PVPT,1),SIZE(PVPT,2)) :: ZDELTVPT,ZHLVPT
!Virtual Potential Temp at Half level and DeltaThv between
!2 mass levels
INTEGER :: IIJU !Internal Domain
INTEGER :: J1D !horizontal loop counter
INTEGER :: JKK !loop counters
REAL :: ZTEST,ZTEST0,ZTESTM !test for vectorization
!-------------------------------------------------------------------------------------
!
!* 1. INITIALISATION
! --------------
REAL(KIND=JPRB) :: ZHOOK_HANDLE
IF (LHOOK) CALL DR_HOOK('COMPUTE_BL89_ML',0,ZHOOK_HANDLE)
IIJU=SIZE(PVPT,1)
!
ZDELTVPT(:,:)=DZM_MF(KKA,KKU,KKL,PVPT(:,:))
ZDELTVPT(:,KKA)=0.
WHERE (ABS(ZDELTVPT(:,:))<XLINF)
ZDELTVPT(:,:)=XLINF
END WHERE
!
ZHLVPT(:,:)=MZM_MF(KKA,KKU,KKL,PVPT(:,:))
!
!We consider that gradient between mass levels KKB and KKB+KKL is the same as
!the gradient between flux level KKB and mass level KKB
ZDELTVPT(:,KKB)=PDZZ2D(:,KKB)*ZDELTVPT(:,KKB+KKL)/PDZZ2D(:,KKB+KKL)
ZHLVPT(:,KKB)=PVPT(:,KKB)-ZDELTVPT(:,KKB)*0.5
!
!
!
!* 2. CALCULATION OF THE UPWARD MIXING LENGTH
! ---------------------------------------
!
IF (OUPORDN.EQV..TRUE.) THEN
ZINTE(:)=PTKEM_DEP(:)
PLWORK=0.
ZTESTM=1.
IF(OFLUX)THEN
ZVPT_DEP(:)=ZHLVPT(:,KK) ! departure point is on flux level
!We must compute what happens between flux level KK and mass level KK
DO J1D=1,IIJU
ZTEST0=0.5+SIGN(0.5,ZINTE(J1D)) ! test if there's energy to consume
! Energy consumed if parcel cross the entire layer
ZPOTE(J1D) = ZTEST0*(PG_O_THVREF(J1D) * &
(0.5*(ZHLVPT(J1D,KK)+ PVPT(J1D,KK)) - ZVPT_DEP(J1D)) + &
XRM17*PSHEAR(J1D,KK)*SQRT(ABS(PTKEM_DEP(J1D)))) * &
PDZZ2D(J1D,KK)*0.5
! Test if it rests some energy to consume
ZTEST =0.5+SIGN(0.5,ZINTE(J1D)-ZPOTE(J1D))
! Length travelled by parcel if it rests energy to consume
ZLWORK1(J1D)=PDZZ2D(J1D,KK)*0.5
! Lenght travelled by parcel to nullify energy
ZLWORK2(J1D)= ( - PG_O_THVREF(J1D) * &
( ZHLVPT(J1D,KK) - ZVPT_DEP(J1D) ) &
- XRM17*PSHEAR(J1D,JKK)*SQRT(ABS(PTKEM_DEP(J1D))) &
+ SQRT (ABS( &
(XRM17*PSHEAR(J1D,JKK)*SQRT(ABS(PTKEM_DEP(J1D))) + &
PG_O_THVREF(J1D) * (ZHLVPT(J1D,KK) - ZVPT_DEP(J1D)) )**2 &
+ 2. * ZINTE(J1D) * PG_O_THVREF(J1D) &
* ZDELTVPT(J1D,KK) / PDZZ2D(J1D,KK) )) ) / &
( PG_O_THVREF(J1D) * ZDELTVPT(J1D,KK) / PDZZ2D(J1D,KK) )
! Effective length travelled by parcel
PLWORK(J1D)=PLWORK(J1D)+ZTEST0*(ZTEST*ZLWORK1(J1D)+ &
(1-ZTEST)*ZLWORK2(J1D))
! Rest of energy to consume
ZINTE(J1D) = ZINTE(J1D) - ZPOTE(J1D)
ENDDO
ELSE
ZVPT_DEP(:)=PVPT(:,KK) ! departure point is on mass level
ENDIF
DO JKK=KK+KKL,KKE,KKL
IF(ZTESTM > 0.) THEN
ZTESTM=0
DO J1D=1,IIJU
ZTEST0=0.5+SIGN(0.5,ZINTE(J1D))
ZPOTE(J1D) = ZTEST0*(PG_O_THVREF(J1D) * &
(ZHLVPT(J1D,JKK) - ZVPT_DEP(J1D)) &
+ XRM17*PSHEAR(J1D,JKK)*SQRT(ABS(PTKEM_DEP(J1D))))* PDZZ2D(J1D,JKK)
ZTEST =0.5+SIGN(0.5,ZINTE(J1D)-ZPOTE(J1D))
ZTESTM=ZTESTM+ZTEST0
ZLWORK1(J1D)=PDZZ2D(J1D,JKK)
!ZLWORK2 jump of the last reached level
ZLWORK2(J1D)= ( - PG_O_THVREF(J1D) * &
( PVPT(J1D,JKK-KKL) - ZVPT_DEP(J1D) ) &
- XRM17*PSHEAR(J1D,JKK)*sqrt(abs(PTKEM_DEP(J1D))) &
+ SQRT (ABS( &
(XRM17*PSHEAR(J1D,JKK)*sqrt(abs(PTKEM_DEP(J1D))) + &
PG_O_THVREF(J1D) * (PVPT(J1D,JKK-KKL) - ZVPT_DEP(J1D)) )**2 &
+ 2. * ZINTE(J1D) * PG_O_THVREF(J1D) &
* ZDELTVPT(J1D,JKK) / PDZZ2D(J1D,JKK) )) ) / &
( PG_O_THVREF(J1D) * ZDELTVPT(J1D,JKK) / PDZZ2D(J1D,JKK) )
!
PLWORK(J1D)=PLWORK(J1D)+ZTEST0*(ZTEST*ZLWORK1(J1D)+ &
(1-ZTEST)*ZLWORK2(J1D))
ZINTE(J1D) = ZINTE(J1D) - ZPOTE(J1D)
END DO
ENDIF
END DO
ENDIF
!!
!* 2. CALCULATION OF THE DOWNWARD MIXING LENGTH
! ---------------------------------------
!
IF (OUPORDN.EQV..FALSE.) THEN
IF(OFLUX) CALL PRINT_MSG(NVERB_FATAL,'GEN','COMPUTE_BL89_ML','OFLUX option not coded for downward mixing length')
ZINTE(:)=PTKEM_DEP(:)
PLWORK=0.
ZTESTM=1.
DO JKK=KK,KKB,-KKL
IF(ZTESTM > 0.) THEN
ZTESTM=0
DO J1D=1,IIJU
ZTEST0=0.5+SIGN(0.5,ZINTE(J1D))
ZPOTE(J1D) = ZTEST0*(-PG_O_THVREF(J1D) * &
(ZHLVPT(J1D,JKK) - PVPT(J1D,KK)) &
+ XRM17*PSHEAR(J1D,JKK)*SQRT(ABS(PTKEM_DEP(J1D))))* PDZZ2D(J1D,JKK)
ZTEST =0.5+SIGN(0.5,ZINTE(J1D)-ZPOTE(J1D))
ZTESTM=ZTESTM+ZTEST0
ZLWORK1(J1D)=PDZZ2D(J1D,JKK)
ZLWORK2(J1D)= ( + PG_O_THVREF(J1D) * &
( PVPT(J1D,JKK) - PVPT(J1D,KK) ) &
-XRM17*PSHEAR(J1D,JKK)*sqrt(abs(PTKEM_DEP(J1D))) &
+ SQRT (ABS( &
(XRM17*PSHEAR(J1D,JKK)*sqrt(abs(PTKEM_DEP(J1D))) - &
PG_O_THVREF(J1D) * (PVPT(J1D,JKK) - PVPT(J1D,KK)) )**2 &
+ 2. * ZINTE(J1D) * PG_O_THVREF(J1D) &
* ZDELTVPT(J1D,JKK) / PDZZ2D(J1D,JKK) )) ) / &
( PG_O_THVREF(J1D) * ZDELTVPT(J1D,JKK) / PDZZ2D(J1D,JKK) )
!
PLWORK(J1D)=PLWORK(J1D)+ZTEST0*(ZTEST*ZLWORK1(J1D)+ &
(1-ZTEST)*ZLWORK2(J1D))
ZINTE(J1D) = ZINTE(J1D) - ZPOTE(J1D)
END DO
ENDIF
END DO
ENDIF
IF (LHOOK) CALL DR_HOOK('COMPUTE_BL89_ML',1,ZHOOK_HANDLE)
END SUBROUTINE COMPUTE_BL89_ML
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