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SUBROUTINE ICE4_SEDIMENTATION_STAT(KIB, KIE, KIT, KJB, KJE, KJT, KKB, KKE, KKTB, KKTE, KKT, KKL, &
&PTSTEP, KRR, OSEDIC, &
&PDZZ, &
&PRHODREF, PPABST, PTHT, PRHODJ, &
&PRCS, PRCT, PRRS, PRRT, PRIS, PRIT, &
&PRSS, PRST, PRGS, PRGT,&
&PINPRC, PINPRR, PINPRI, PINPRS, PINPRG, &
&PSEA, PTOWN, PINPRH, PRHT, PRHS, PFPR)
!!
!!** PURPOSE
!! -------
!! Computes the sedimentation
!!
!! AUTHOR
!! ------
!! S. Riette from the plitting of rain_ice source code (nov. 2014)
!!
!! MODIFICATIONS
!! -------------
!!
!! Ryad El Khatib 09-Oct-2019 Substantial re-write for optimization
!! (outerunrolling, vectorization, memory cache saving, unrolling)
!
!
!* 0. DECLARATIONS
! ------------
!
USE PARKIND1, ONLY : JPRB
USE YOMHOOK , ONLY : LHOOK, DR_HOOK
USE MODD_CST
USE MODD_RAIN_ICE_DESCR
USE MODD_RAIN_ICE_PARAM
USE MODI_GAMMA
!
IMPLICIT NONE
!
!* 0.1 Declarations of dummy arguments :
!
INTEGER, INTENT(IN) :: KIB, KIE, KIT, KJB, KJE, KJT, KKB, KKE, KKTB, KKTE, KKT
INTEGER, INTENT(IN) :: KKL !vert. levels type 1=MNH -1=ARO
REAL, INTENT(IN) :: PTSTEP ! Double Time step (single if cold start)
INTEGER, INTENT(IN) :: KRR ! Number of moist variable
LOGICAL, INTENT(IN) :: OSEDIC ! Switch for droplet sedim.
REAL, DIMENSION(KIT,KJT,KKT), INTENT(IN) :: PDZZ ! Layer thikness (m)
REAL, DIMENSION(KIT,KJT,KKT), INTENT(IN) :: PRHODREF! Reference density
REAL, DIMENSION(KIT,KJT,KKT), INTENT(IN) :: PPABST ! absolute pressure at t
REAL, DIMENSION(KIT,KJT,KKT), INTENT(IN) :: PTHT ! Theta at time t
REAL, DIMENSION(KIT,KJT,KKT), INTENT(IN) :: PRHODJ ! Dry density * Jacobian
REAL, DIMENSION(KIT,KJT,KKT), INTENT(INOUT) :: PRCS ! Cloud water m.r. source
REAL, DIMENSION(KIT,KJT,KKT), INTENT(IN) :: PRCT ! Cloud water m.r. at t
REAL, DIMENSION(KIT,KJT,KKT), INTENT(INOUT) :: PRRS ! Rain water m.r. source
REAL, DIMENSION(KIT,KJT,KKT), INTENT(IN) :: PRRT ! Rain water m.r. at t
REAL, DIMENSION(KIT,KJT,KKT), INTENT(INOUT) :: PRIS ! Pristine ice m.r. source
REAL, DIMENSION(KIT,KJT,KKT), INTENT(IN) :: PRIT ! Pristine ice m.r. at t
REAL, DIMENSION(KIT,KJT,KKT), INTENT(INOUT) :: PRSS ! Snow/aggregate m.r. source
REAL, DIMENSION(KIT,KJT,KKT), INTENT(IN) :: PRST ! Snow/aggregate m.r. at t
REAL, DIMENSION(KIT,KJT,KKT), INTENT(INOUT) :: PRGS ! Graupel m.r. source
REAL, DIMENSION(KIT,KJT,KKT), INTENT(IN) :: PRGT ! Graupel/hail m.r. at t
REAL, DIMENSION(KIT,KJT), INTENT(OUT) :: PINPRC ! Cloud instant precip
REAL, DIMENSION(KIT,KJT), INTENT(OUT) :: PINPRR ! Rain instant precip
REAL, DIMENSION(KIT,KJT), INTENT(OUT) :: PINPRI ! Pristine ice instant precip
REAL, DIMENSION(KIT,KJT), INTENT(OUT) :: PINPRS ! Snow instant precip
REAL, DIMENSION(KIT,KJT), INTENT(OUT) :: PINPRG ! Graupel instant precip
REAL, DIMENSION(KIT,KJT), OPTIONAL, INTENT(IN) :: PSEA ! Sea Mask
REAL, DIMENSION(KIT,KJT), OPTIONAL, INTENT(IN) :: PTOWN ! Fraction that is town
REAL, DIMENSION(KIT,KJT), OPTIONAL, INTENT(OUT) :: PINPRH ! Hail instant precip
REAL, DIMENSION(KIT,KJT,KKT), OPTIONAL, INTENT(IN) :: PRHT ! Hail m.r. at t
REAL, DIMENSION(KIT,KJT,KKT), OPTIONAL, INTENT(INOUT) :: PRHS ! Hail m.r. source
REAL, DIMENSION(KIT,KJT,KKT,KRR), OPTIONAL, INTENT(OUT) :: PFPR ! upper-air precipitation fluxes
!
!* 0.2 declaration of local variables
!
LOGICAL :: LLSEA_AND_TOWN
INTEGER :: JRR, JI, JJ, JK
INTEGER :: ISHIFT, IK, IKPLUS
REAL :: ZQP, ZP1, ZINVTSTEP, ZGAC, ZGC, ZGAC2, ZGC2, ZRAYDEFO
REAL, DIMENSION(KIT) :: ZWSEDW1, ZWSEDW2 ! sedimentation speed
REAL, DIMENSION(KIT,KJT) :: ZTSORHODZ ! TimeStep Over (Rhodref times delta Z)
REAL, DIMENSION(KIT,KJT,0:1,2:KRR) :: ZSED ! sedimentation flux array for each species and for above and current levels
REAL :: FWSED1, FWSED2, PWSEDW, PWSEDWSUP, PINVTSTEP, PTSTEP1, PDZZ1, PRHODREF1, PRXT1
REAL(KIND=JPRB) :: ZHOOK_HANDLE
REAL(KIND=JPRB) :: ZHOOK_HANDLE_PRXS
REAL(KIND=JPRB) :: ZHOOK_HANDLE_PINPRX
!
#ifndef REK
! 5 multiplications + 1 division => cost = 7X
FWSED1(PWSEDW,PTSTEP1,PDZZ1,PRHODREF1,PRXT1,PINVTSTEP)=MIN(1.,PWSEDW*PTSTEP1/PDZZ1 )*PRHODREF1*PDZZ1*PRXT1*PINVTSTEP
#else
! 5 multiplications only => cost = 5X
FWSED1(PWSEDW,PTSTEP1,PDZZ1,PRHODREF1,PRXT1,PINVTSTEP)=MIN(PRHODREF1*PDZZ1*PRXT1*PINVTSTEP,PWSEDW*PRHODREF1*PRXT1)
#endif
FWSED2(PWSEDW,PTSTEP1,PDZZ1,PWSEDWSUP)=MAX(0.,1.-PDZZ1/(PTSTEP1*PWSEDW))*PWSEDWSUP
!-------------------------------------------------------------------------------
IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT',0,ZHOOK_HANDLE)
!-------------------------------------------------------------------------------
!
!* 1. compute the fluxes
!
ZINVTSTEP = 1./PTSTEP
ZGAC=GAMMA(XNUC+1.0/XALPHAC)
ZGC=GAMMA(XNUC)
ZGAC2=GAMMA(XNUC2+1.0/XALPHAC2)
ZGC2=GAMMA(XNUC2)
ZRAYDEFO=MAX(1.,0.5*(ZGAC/ZGC))
LLSEA_AND_TOWN=PRESENT(PSEA).AND.PRESENT(PTOWN)
!
!* 2. compute the fluxes
!
! Start shift mechanism:
ISHIFT=0
CALL SHIFT
! Initialize vertical loop
DO JRR=2,KRR
ZSED(:,:,IKPLUS,JRR) = 0.
ENDDO
! calculation sedimentation flux
DO JK = KKE , KKB, -1*KKL
DO JJ = KJB, KJE
DO JI = KIB, KIE
ZTSORHODZ(JI,JJ) =PTSTEP/(PRHODREF(JI,JJ,JK)*PDZZ(JI,JJ,JK))
ENDDO
ENDDO
!
DO JRR=2,KRR
IF (JRR==2) THEN
!******* for cloud
IF (OSEDIC) THEN
CALL CLOUD(PRCT(:,:,JK))
ELSE
ZSED(:,:,IK,JRR)=0.
ENDIF
ELSEIF (JRR==3) THEN
!* 2.2 for rain
CALL OTHER_SPECIES(XFSEDR,XEXSEDR,PRRT(:,:,JK))
ELSEIF (JRR==4) THEN
CALL PRISTINE_ICE(PRIT(:,:,JK))
ELSEIF (JRR==5) THEN
!* 2.4 for aggregates/snow
CALL OTHER_SPECIES(XFSEDS,XEXSEDS,PRST(:,:,JK))
ELSEIF (JRR==6) THEN
!* 2.5 for graupeln
CALL OTHER_SPECIES(XFSEDG,XEXSEDG,PRGT(:,:,JK))
ELSEIF (JRR==7) THEN
!* 2.6 for hail
IF (PRESENT(PRHT)) THEN
CALL OTHER_SPECIES(XFSEDH,XEXSEDH,PRHT(:,:,JK))
ENDIF
ENDIF
ENDDO ! JRR
! Wrap-up
IF(PRESENT(PFPR)) THEN
DO JRR=2,KRR
PFPR(:,:,JK,JRR)=ZSED(:,:,IK,JRR)
ENDDO
ENDIF
!IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT:UPDATE_PRXS',0,ZHOOK_HANDLE_PRXS)
DO JJ = KJB, KJE
DO JI = KIB, KIE
PRCS(JI,JJ,JK) = PRCS(JI,JJ,JK)+ZTSORHODZ(JI,JJ)*(ZSED(JI,JJ,IKPLUS,2)-ZSED(JI,JJ,IK,2))*ZINVTSTEP
PRRS(JI,JJ,JK) = PRRS(JI,JJ,JK)+ZTSORHODZ(JI,JJ)*(ZSED(JI,JJ,IKPLUS,3)-ZSED(JI,JJ,IK,3))*ZINVTSTEP
PRIS(JI,JJ,JK) = PRIS(JI,JJ,JK)+ZTSORHODZ(JI,JJ)*(ZSED(JI,JJ,IKPLUS,4)-ZSED(JI,JJ,IK,4))*ZINVTSTEP
PRSS(JI,JJ,JK) = PRSS(JI,JJ,JK)+ZTSORHODZ(JI,JJ)*(ZSED(JI,JJ,IKPLUS,5)-ZSED(JI,JJ,IK,5))*ZINVTSTEP
PRGS(JI,JJ,JK) = PRGS(JI,JJ,JK)+ZTSORHODZ(JI,JJ)*(ZSED(JI,JJ,IKPLUS,6)-ZSED(JI,JJ,IK,6))*ZINVTSTEP
IF (PRESENT(PRHS)) THEN
PRHS(JI,JJ,JK) = PRHS(JI,JJ,JK)+ZTSORHODZ(JI,JJ)*(ZSED(JI,JJ,IKPLUS,7)-ZSED(JI,JJ,IK,7))*ZINVTSTEP
ENDIF
ENDDO
ENDDO
!IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT:UPDATE_PRXS',1,ZHOOK_HANDLE_PRXS)
IF (JK==KKB) THEN
!IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT:CP_INSTANT_PRECIP',0,ZHOOK_HANDLE_PINPRX)
DO JJ = KJB, KJE
DO JI = KIB, KIE
PINPRC(JI,JJ) = ZSED(JI,JJ,IK,2)/XRHOLW
PINPRR(JI,JJ) = ZSED(JI,JJ,IK,3)/XRHOLW
PINPRI(JI,JJ) = ZSED(JI,JJ,IK,4)/XRHOLW
PINPRS(JI,JJ) = ZSED(JI,JJ,IK,5)/XRHOLW
PINPRG(JI,JJ) = ZSED(JI,JJ,IK,6)/XRHOLW
IF (PRESENT(PINPRH)) THEN
PINPRH(JI,JJ) = ZSED(JI,JJ,IK,7)/XRHOLW
ENDIF
ENDDO
ENDDO
!IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT:CP_INSTANT_PRECIP',1,ZHOOK_HANDLE_PINPRX)
ENDIF
! shift mechanism : current level now takes the place of previous one
CALL SHIFT
ENDDO ! JK
IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT',1,ZHOOK_HANDLE)
CONTAINS
SUBROUTINE CLOUD(PRXT)
REAL, INTENT(IN) :: PRXT(KIT,KJT) ! mr of specy X
REAL :: ZLBC ! XLBC weighted by sea fraction
REAL :: ZFSEDC
REAL :: ZCONC3D ! droplet condensation
REAL :: ZRAY ! Cloud Mean radius
REAL :: ZZWLBDA, ZZWLBDC, ZZCC
REAL(KIND=JPRB) :: ZHOOK_HANDLE
!!IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT:CLOUD',0,ZHOOK_HANDLE)
DO JJ = KJB, KJE
DO JI = KIB, KIE
!estimation of q' taking into account incoming ZWSED from previous vertical level
ZQP=ZSED(JI,JJ,IKPLUS,JRR)*ZTSORHODZ(JI,JJ)
IF ((PRXT(JI,JJ) > XRTMIN(JRR)) .OR. (ZQP > XRTMIN(JRR))) THEN
IF (LLSEA_AND_TOWN) THEN
ZRAY = MAX(1.,0.5*((1.-PSEA(JI,JJ))*ZGAC/ZGC+PSEA(JI,JJ)*ZGAC2/ZGC2))
ZLBC = MAX(MIN(XLBC(1),XLBC(2)),(PSEA(JI,JJ)*XLBC(2)+(1.-PSEA(JI,JJ))*XLBC(1)) )
ZFSEDC = MAX(MIN(XFSEDC(1),XFSEDC(2)), (PSEA(JI,JJ)*XFSEDC(2)+(1.-PSEA(JI,JJ))*XFSEDC(1)) )
ZCONC3D= (1.-PTOWN(JI,JJ))*(PSEA(JI,JJ)*XCONC_SEA+(1.-PSEA(JI,JJ))*XCONC_LAND) + PTOWN(JI,JJ) *XCONC_URBAN
ELSE
ZRAY = ZRAYDEFO
ZLBC = XLBC(1)
ZFSEDC = XFSEDC(1)
ZCONC3D= XCONC_LAND
ENDIF
!calculation of w
IF(PRXT(JI,JJ) > XRTMIN(JRR)) THEN
ZZWLBDA=6.6E-8*(101325./PPABST(JI,JJ,JK))*(PTHT(JI,JJ,JK)/293.15)
ZZWLBDC=(ZLBC*ZCONC3D/(PRHODREF(JI,JJ,JK)*PRXT(JI,JJ)))**XLBEXC
ZZCC=XCC*(1.+1.26*ZZWLBDA*ZZWLBDC/ZRAY) !! ZCC : Fall speed
ZWSEDW1(JI)=PRHODREF(JI,JJ,JK)**(-XCEXVT ) * ZZWLBDC**(-XDC)*ZZCC*ZFSEDC
ELSE
ZWSEDW1(JI)=0.
ENDIF
IF ( ZQP > XRTMIN(JRR) ) THEN
ZZWLBDA=6.6E-8*(101325./PPABST(JI,JJ,JK))*(PTHT(JI,JJ,JK)/293.15)
ZZWLBDC=(ZLBC*ZCONC3D/(PRHODREF(JI,JJ,JK)*ZQP))**XLBEXC
ZZCC=XCC*(1.+1.26*ZZWLBDA*ZZWLBDC/ZRAY) !! ZCC : Fall speed
ZWSEDW2(JI)=PRHODREF(JI,JJ,JK)**(-XCEXVT ) * ZZWLBDC**(-XDC)*ZZCC*ZFSEDC
ELSE
ZWSEDW2(JI)=0.
ENDIF
ELSE
ZWSEDW1(JI)=0.
ZWSEDW2(JI)=0.
ENDIF
!- duplicated code -------------------------------------------------------------------------
IF (ZWSEDW2(JI) /= 0.) THEN
ZSED(JI,JJ,IK,JRR)=FWSED1(ZWSEDW1(JI),PTSTEP,PDZZ(JI,JJ,JK),PRHODREF(JI,JJ,JK),PRXT(JI,JJ),ZINVTSTEP) &
& + FWSED2(ZWSEDW2(JI),PTSTEP,PDZZ(JI,JJ,JK),ZSED(JI,JJ,IKPLUS,JRR))
ELSE
ZSED(JI,JJ,IK,JRR)=FWSED1(ZWSEDW1(JI),PTSTEP,PDZZ(JI,JJ,JK),PRHODREF(JI,JJ,JK),PRXT(JI,JJ),ZINVTSTEP)
ENDIF
!-------------------------------------------------------------------------------------------
ENDDO
ENDDO
!!IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT:CLOUD',1,ZHOOK_HANDLE)
END SUBROUTINE CLOUD
SUBROUTINE PRISTINE_ICE(PRXT)
REAL, INTENT(IN) :: PRXT(KIT,KJT) ! mr of specy X
REAL(KIND=JPRB) :: ZHOOK_HANDLE
!!IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT:PRISTINE_ICE',0,ZHOOK_HANDLE)
! ******* for pristine ice
DO JJ = KJB, KJE
DO JI = KIB, KIE
ZQP=ZSED(JI,JJ,IKPLUS,JRR)*ZTSORHODZ(JI,JJ)
IF ((PRXT(JI,JJ) > XRTMIN(JRR)) .OR. (ZQP > XRTMIN(JRR))) THEN
!calculation of w
IF ( PRXT(JI,JJ) > MAX(XRTMIN(JRR),1.0E-7 ) ) THEN
ZWSEDW1(JI)= XFSEDI * &
& PRHODREF(JI,JJ,JK)**(-XCEXVT) * & ! McF&H
& MAX( 0.05E6,-0.15319E6-0.021454E6* &
& ALOG(PRHODREF(JI,JJ,JK)*PRXT(JI,JJ)) )**XEXCSEDI
ELSE
ZWSEDW1(JI)=0.
ENDIF
IF ( ZQP > MAX(XRTMIN(JRR),1.0E-7 ) ) THEN
ZWSEDW2(JI)= XFSEDI * &
& PRHODREF(JI,JJ,JK)**(-XCEXVT) * & ! McF&H
& MAX( 0.05E6,-0.15319E6-0.021454E6* &
& ALOG(PRHODREF(JI,JJ,JK)*ZQP) )**XEXCSEDI
ELSE
ZWSEDW2(JI)=0.
ENDIF
ELSE
ZWSEDW1(JI)=0.
ZWSEDW2(JI)=0.
ENDIF
!- duplicated code -------------------------------------------------------------------------
IF (ZWSEDW2(JI) /= 0.) THEN
ZSED(JI,JJ,IK,JRR)=FWSED1(ZWSEDW1(JI),PTSTEP,PDZZ(JI,JJ,JK),PRHODREF(JI,JJ,JK),PRXT(JI,JJ),ZINVTSTEP) &
& + FWSED2(ZWSEDW2(JI),PTSTEP,PDZZ(JI,JJ,JK),ZSED(JI,JJ,IKPLUS,JRR))
ELSE
ZSED(JI,JJ,IK,JRR)=FWSED1(ZWSEDW1(JI),PTSTEP,PDZZ(JI,JJ,JK),PRHODREF(JI,JJ,JK),PRXT(JI,JJ),ZINVTSTEP)
ENDIF
!-------------------------------------------------------------------------------------------
ENDDO
ENDDO
!!IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT:PRISTINE_ICE',1,ZHOOK_HANDLE)
END SUBROUTINE PRISTINE_ICE
SUBROUTINE OTHER_SPECIES(PFSED,PEXSED,PRXT)
REAL, INTENT(IN) :: PFSED
REAL, INTENT(IN) :: PEXSED
REAL, INTENT(IN) :: PRXT(KIT,KJT) ! mr of specy X
REAL(KIND=JPRB) :: ZHOOK_HANDLE
!!IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT:OTHER_SPECIES',0,ZHOOK_HANDLE)
! for all but cloud and pristine ice :
DO JJ = KJB, KJE
DO JI = KIB, KIE
ZQP=ZSED(JI,JJ,IKPLUS,JRR)*ZTSORHODZ(JI,JJ)
IF ((PRXT(JI,JJ) > XRTMIN(JRR)) .OR. (ZQP > XRTMIN(JRR))) THEN
!calculation of w
IF ( PRXT(JI,JJ) > XRTMIN(JRR) ) THEN
ZWSEDW1(JI)= PFSED *PRXT(JI,JJ)**(PEXSED-1)*PRHODREF(JI,JJ,JK)**(PEXSED-XCEXVT-1)
ELSE
ZWSEDW1(JI)=0.
ENDIF
IF ( ZQP > XRTMIN(JRR) ) THEN
ZWSEDW2(JI)= PFSED *ZQP**(PEXSED-1)*PRHODREF(JI,JJ,JK)**(PEXSED-XCEXVT-1)
ELSE
ZWSEDW2(JI)=0.
ENDIF
ELSE
ZWSEDW1(JI)=0.
ZWSEDW2(JI)=0.
ENDIF
!- duplicated code -------------------------------------------------------------------------
IF (ZWSEDW2(JI) /= 0.) THEN
ZSED(JI,JJ,IK,JRR)=FWSED1(ZWSEDW1(JI),PTSTEP,PDZZ(JI,JJ,JK),PRHODREF(JI,JJ,JK),PRXT(JI,JJ),ZINVTSTEP) &
& + FWSED2(ZWSEDW2(JI),PTSTEP,PDZZ(JI,JJ,JK),ZSED(JI,JJ,IKPLUS,JRR))
ELSE
ZSED(JI,JJ,IK,JRR)=FWSED1(ZWSEDW1(JI),PTSTEP,PDZZ(JI,JJ,JK),PRHODREF(JI,JJ,JK),PRXT(JI,JJ),ZINVTSTEP)
ENDIF
!-------------------------------------------------------------------------------------------
ENDDO
ENDDO
!!IF (LHOOK) CALL DR_HOOK('ICE4_SEDIMENTATION_STAT:OTHER_SPECIES',1,ZHOOK_HANDLE)
END SUBROUTINE OTHER_SPECIES
SUBROUTINE SHIFT
IKPLUS=ISHIFT
IK=1-ISHIFT
ISHIFT=1-ISHIFT
END SUBROUTINE SHIFT
END SUBROUTINE ICE4_SEDIMENTATION_STAT