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!MNH_LIC Copyright 2013-2018 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 MODI_LIMA_ADJUST
! #######################
!
INTERFACE
!
SUBROUTINE LIMA_ADJUST(KRR, KMI, TPFILE, HRAD, &
HTURBDIM, OCLOSE_OUT, OSUBG_COND, PTSTEP, &
PRHODREF, PRHODJ, PEXNREF, PPABSM, PSIGS, PPABST, &
PRT, PRS, PSVT, PSVS, &
PTHS, PSRCS, PCLDFR )
WAUTELET Philippe
committed
!
USE MODD_IO_ll, ONLY: TFILEDATA
!
INTEGER, INTENT(IN) :: KRR ! Number of moist variables
INTEGER, INTENT(IN) :: KMI ! Model index
WAUTELET Philippe
committed
TYPE(TFILEDATA), INTENT(IN) :: TPFILE ! Output file
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CHARACTER*4, INTENT(IN) :: HTURBDIM ! Dimensionality of the
! turbulence scheme
CHARACTER*4, INTENT(IN) :: HRAD ! Radiation scheme name
LOGICAL, INTENT(IN) :: OCLOSE_OUT ! Conditional closure of
! the OUTPUT FM-file
LOGICAL, INTENT(IN) :: OSUBG_COND ! Switch for Subgrid
! Condensation
REAL, INTENT(IN) :: PTSTEP ! Time step
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRHODREF ! Dry density of the
! reference state
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRHODJ ! Dry density * Jacobian
REAL, DIMENSION(:,:,:), INTENT(IN) :: PEXNREF ! Reference Exner function
REAL, DIMENSION(:,:,:), INTENT(IN) :: PPABSM ! Absolute Pressure at t-dt
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSIGS ! Sigma_s at time t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PPABST ! Absolute Pressure at t
!
REAL, DIMENSION(:,:,:,:), INTENT(IN) :: PRT ! m.r. at t
!
REAL, DIMENSION(:,:,:,:), INTENT(INOUT) :: PRS ! m.r. source
!
REAL, DIMENSION(:,:,:,:), INTENT(IN) :: PSVT ! Concentrations at t
!
REAL, DIMENSION(:,:,:,:), INTENT(INOUT) :: PSVS ! Concentration source
!
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PTHS ! Theta source
!
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PSRCS ! Second-order flux
! s'rc'/2Sigma_s2 at time t+1
! multiplied by Lambda_3
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PCLDFR ! Cloud fraction
!
END SUBROUTINE LIMA_ADJUST
!
END INTERFACE
!
END MODULE MODI_LIMA_ADJUST
!
! ##########################################################################
SUBROUTINE LIMA_ADJUST(KRR, KMI, TPFILE, HRAD, &
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HTURBDIM, OCLOSE_OUT, OSUBG_COND, PTSTEP, &
PRHODREF, PRHODJ, PEXNREF, PPABSM, PSIGS, PPABST, &
PRT, PRS, PSVT, PSVS, &
PTHS, PSRCS, PCLDFR )
! ##########################################################################
!
!!**** *MIMA_ADJUST* - compute the fast microphysical sources
!!
!! PURPOSE
!! -------
!! The purpose of this routine is to compute the fast microphysical sources
!! through an explict scheme and a saturation ajustement procedure.
!!
!!
!!** METHOD
!! ------
!! Reisin et al., 1996 for the explicit scheme when ice is present
!! Langlois, Tellus, 1973 for the implict adjustment for the cloud water
!! (refer also to book 1 of the documentation).
!!
!! Computations are done separately for three cases :
!! - ri>0 and rc=0
!! - rc>0 and ri=0
!! - ri>0 and rc>0
!!
!!
!! EXTERNAL
!! --------
!! None
!!
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!! Module MODD_CST
!! XP00 ! Reference pressure
!! XMD,XMV ! Molar mass of dry air and molar mass of vapor
!! XRD,XRV ! Gaz constant for dry air, gaz constant for vapor
!! XCPD,XCPV ! Cpd (dry air), Cpv (vapor)
!! XCL ! Cl (liquid)
!! XTT ! Triple point temperature
!! XLVTT ! Vaporization heat constant
!! XALPW,XBETAW,XGAMW ! Constants for saturation vapor
!! ! pressure function
!! Module MODD_CONF
!! CCONF
!! Module MODD_BUDGET:
!! NBUMOD
!! CBUTYPE
!! NBUPROCCTR
!! LBU_RTH
!! LBU_RRV
!! LBU_RRC
!! Module MODD_LES : NCTR_LES,LTURB_LES,NMODNBR_LES
!! XNA declaration (cloud fraction as global var)
!!
!! REFERENCE
!! ---------
!!
!! Book 1 and Book2 of documentation ( routine FAST_TERMS )
!! Langlois, Tellus, 1973
!!
!! AUTHOR
!! ------
!! E. Richard * Laboratoire d'Aerologie*
!! J.-M. Cohard * Laboratoire d'Aerologie*
!! J.-P. Pinty * Laboratoire d'Aerologie*
!! S. Berthet * Laboratoire d'Aerologie*
!! B. Vié * Laboratoire d'Aerologie*
!!
!! MODIFICATIONS
!! -------------
!! Original ??/??/13
!! C. Barthe * LACy* jan. 2014 add budgets
!! JP Chaboureau *LA* March 2014 fix the calculation of icy cloud fraction
!! Philippe Wautelet: 05/2016-04/2018: new data structures and calls for I/O
!!
!-------------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
!
USE MODD_BUDGET
USE MODD_CST
USE MODD_IO_ll, ONLY: TFILEDATA
USE MODD_LUNIT_n, ONLY: TLUOUT
USE MODD_NSV
USE MODD_PARAMETERS
USE MODD_PARAM_LIMA
USE MODD_PARAM_LIMA_COLD
USE MODD_PARAM_LIMA_MIXED
USE MODD_PARAM_LIMA_WARM
USE MODE_FIELD, ONLY : TFIELDDATA, TYPEREAL
USE MODI_BUDGET
USE MODI_CONDENS
USE MODI_LIMA_FUNCTIONS
!
IMPLICIT NONE
!
!* 0.1 Declarations of dummy arguments :
!
!
INTEGER, INTENT(IN) :: KRR ! Number of moist variables
INTEGER, INTENT(IN) :: KMI ! Model index
WAUTELET Philippe
committed
TYPE(TFILEDATA), INTENT(IN) :: TPFILE ! Output file
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CHARACTER*4, INTENT(IN) :: HTURBDIM ! Dimensionality of the
! turbulence scheme
CHARACTER*4, INTENT(IN) :: HRAD ! Radiation scheme name
LOGICAL, INTENT(IN) :: OCLOSE_OUT ! Conditional closure of
! the OUTPUT FM-file
LOGICAL, INTENT(IN) :: OSUBG_COND ! Switch for Subgrid
! Condensation
REAL, INTENT(IN) :: PTSTEP ! Time step
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRHODREF ! Dry density of the
! reference state
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRHODJ ! Dry density * Jacobian
REAL, DIMENSION(:,:,:), INTENT(IN) :: PEXNREF ! Reference Exner function
REAL, DIMENSION(:,:,:), INTENT(IN) :: PPABSM ! Absolute Pressure at t-dt
REAL, DIMENSION(:,:,:), INTENT(IN) :: PSIGS ! Sigma_s at time t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PPABST ! Absolute Pressure at t
!
REAL, DIMENSION(:,:,:,:), INTENT(IN) :: PRT ! m.r. at t
!
REAL, DIMENSION(:,:,:,:), INTENT(INOUT) :: PRS ! m.r. source
!
REAL, DIMENSION(:,:,:,:), INTENT(IN) :: PSVT ! Concentrations at t
!
REAL, DIMENSION(:,:,:,:), INTENT(INOUT) :: PSVS ! Concentration source
!
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PTHS ! Theta source
!
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PSRCS ! Second-order flux
! s'rc'/2Sigma_s2 at time t+1
! multiplied by Lambda_3
REAL, DIMENSION(:,:,:), INTENT(OUT) :: PCLDFR ! Cloud fraction
!
!
!* 0.2 Declarations of local variables :
!
! 3D Microphysical variables
REAL, DIMENSION(SIZE(PRHODJ,1),SIZE(PRHODJ,2),SIZE(PRHODJ,3)) &
:: PRVT, & ! Water vapor m.r. at t
PRCT, & ! Cloud water m.r. at t
PRRT, & ! Rain water m.r. at t
PRIT, & ! Cloud ice m.r. at t
PRST, & ! Aggregate m.r. at t
PRGT, & ! Graupel m.r. at t
!
PRVS, & ! Water vapor m.r. source
PRCS, & ! Cloud water m.r. source
PRRS, & ! Rain water m.r. source
PRIS, & ! Cloud ice m.r. source
PRSS, & ! Aggregate m.r. source
PRGS, & ! Graupel m.r. source
!
PCCT, & ! Cloud water conc. at t
PCIT, & ! Cloud ice conc. at t
!
PCCS, & ! Cloud water C. source
PMAS, & ! Mass of scavenged AP
PCIS ! Ice crystal C. source
!
REAL, DIMENSION(:,:,:,:), ALLOCATABLE &
:: PNFS, & ! Free CCN C. source
PNAS, & ! Activated CCN C. source
PIFS, & ! Free IFN C. source
PINS, & ! Nucleated IFN C. source
PNIS ! Acti. IMM. nuclei C. source
!
!
!
REAL :: ZEPS ! Mv/Md
REAL :: ZDT ! Time increment (2*Delta t or Delta t if cold start)
REAL, DIMENSION(SIZE(PRHODJ,1),SIZE(PRHODJ,2),SIZE(PRHODJ,3)) &
:: ZEXNS,& ! guess of the Exner function at t+1
ZT, & ! guess of the temperature at t+1
ZCPH, & ! guess of the CPh for the mixing
ZW, &
ZW1, &
ZW2, &
ZLV, & ! guess of the Lv at t+1
ZLS, & ! guess of the Ls at t+1
ZMASK
LOGICAL, DIMENSION(SIZE(PRHODJ,1),SIZE(PRHODJ,2),SIZE(PRHODJ,3)) &
:: GMICRO, GMICRO_RI, GMICRO_RC ! Test where to compute cond/dep proc.
INTEGER :: IMICRO
REAL, DIMENSION(:), ALLOCATABLE &
:: ZRVT, ZRCT, ZRIT, ZRVS, ZRCS, ZRIS, ZTHS, &
ZCCT, ZCIT, ZCCS, ZCIS, &
ZRHODREF, ZZT, ZPRES, ZEXNREF, ZZCPH, &
ZZW, ZLVFACT, ZLSFACT, &
ZRVSATW, ZRVSATI, ZRVSATW_PRIME, ZRVSATI_PRIME, &
ZAW, ZAI, ZCJ, ZKA, ZDV, ZITW, ZITI, ZAWW, ZAIW, &
ZAWI, ZAII, ZFACT, ZDELTW, &
ZDELTI, ZDELT1, ZDELT2, ZCND, ZDEP
!
INTEGER :: IRESP ! Return code of FM routines
INTEGER :: IKB ! K index value of the first inner mass point
INTEGER :: IKE ! K index value of the last inner mass point
INTEGER :: IIB,IJB ! Horz index values of the first inner mass points
INTEGER :: IIE,IJE ! Horz index values of the last inner mass points
INTEGER :: JITER,ITERMAX ! iterative loop for first order adjustment
INTEGER :: ILUOUT ! Logical unit of output listing
!
INTEGER :: ISIZE
REAL, DIMENSION(:), ALLOCATABLE :: ZRTMIN
REAL, DIMENSION(:), ALLOCATABLE :: ZCTMIN
!
INTEGER , DIMENSION(SIZE(GMICRO)) :: I1,I2,I3 ! Used to replace the COUNT
INTEGER :: JL ! and PACK intrinsics
INTEGER :: JMOD, JMOD_IFN, JMOD_IMM
!
INTEGER , DIMENSION(3) :: BV
WAUTELET Philippe
committed
TYPE(TFIELDDATA) :: TZFIELD
!
!-------------------------------------------------------------------------------
!
!* 1. PRELIMINARIES
! -------------
!
ILUOUT = TLUOUT%NLU
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!
IIB = 1 + JPHEXT
IIE = SIZE(PRHODJ,1) - JPHEXT
IJB = 1 + JPHEXT
IJE = SIZE(PRHODJ,2) - JPHEXT
IKB = 1 + JPVEXT
IKE = SIZE(PRHODJ,3) - JPVEXT
!
ZEPS= XMV / XMD
!
IF (OSUBG_COND) THEN
ITERMAX=2
ELSE
ITERMAX=1
END IF
!
ZDT = PTSTEP
!
ISIZE = SIZE(XRTMIN)
ALLOCATE(ZRTMIN(ISIZE))
ZRTMIN(:) = XRTMIN(:) / ZDT
ISIZE = SIZE(XCTMIN)
ALLOCATE(ZCTMIN(ISIZE))
ZCTMIN(:) = XCTMIN(:) / ZDT
!
! Prepare 3D water mixing ratios
PRVT(:,:,:) = PRT(:,:,:,1)
PRVS(:,:,:) = PRS(:,:,:,1)
!
PRCT(:,:,:) = 0.
PRCS(:,:,:) = 0.
PRRT(:,:,:) = 0.
PRRS(:,:,:) = 0.
PRIT(:,:,:) = 0.
PRIS(:,:,:) = 0.
PRST(:,:,:) = 0.
PRSS(:,:,:) = 0.
PRGT(:,:,:) = 0.
PRGS(:,:,:) = 0.
!
IF ( KRR .GE. 2 ) PRCT(:,:,:) = PRT(:,:,:,2)
IF ( KRR .GE. 2 ) PRCS(:,:,:) = PRS(:,:,:,2)
IF ( KRR .GE. 3 ) PRRT(:,:,:) = PRT(:,:,:,3)
IF ( KRR .GE. 3 ) PRRS(:,:,:) = PRS(:,:,:,3)
IF ( KRR .GE. 4 ) PRIT(:,:,:) = PRT(:,:,:,4)
IF ( KRR .GE. 4 ) PRIS(:,:,:) = PRS(:,:,:,4)
IF ( KRR .GE. 5 ) PRST(:,:,:) = PRT(:,:,:,5)
IF ( KRR .GE. 5 ) PRSS(:,:,:) = PRS(:,:,:,5)
IF ( KRR .GE. 6 ) PRGT(:,:,:) = PRT(:,:,:,6)
IF ( KRR .GE. 6 ) PRGS(:,:,:) = PRS(:,:,:,6)
!
! Prepare 3D number concentrations
PCCT(:,:,:) = 0.
PCIT(:,:,:) = 0.
PCCS(:,:,:) = 0.
PCIS(:,:,:) = 0.
!
IF ( LWARM ) PCCT(:,:,:) = PSVT(:,:,:,NSV_LIMA_NC)
IF ( LCOLD ) PCIT(:,:,:) = PSVT(:,:,:,NSV_LIMA_NI)
!
IF ( LWARM ) PCCS(:,:,:) = PSVS(:,:,:,NSV_LIMA_NC)
IF ( LCOLD ) PCIS(:,:,:) = PSVS(:,:,:,NSV_LIMA_NI)
!
IF ( LSCAV .AND. LAERO_MASS ) PMAS(:,:,:) = PSVS(:,:,:,NSV_LIMA_SCAVMASS)
!
IF ( LWARM .AND. NMOD_CCN.GE.1 ) THEN
ALLOCATE( PNFS(SIZE(PRHODJ,1),SIZE(PRHODJ,2),SIZE(PRHODJ,3),NMOD_CCN) )
ALLOCATE( PNAS(SIZE(PRHODJ,1),SIZE(PRHODJ,2),SIZE(PRHODJ,3),NMOD_CCN) )
PNFS(:,:,:,:) = PSVS(:,:,:,NSV_LIMA_CCN_FREE:NSV_LIMA_CCN_FREE+NMOD_CCN-1)
PNAS(:,:,:,:) = PSVS(:,:,:,NSV_LIMA_CCN_ACTI:NSV_LIMA_CCN_ACTI+NMOD_CCN-1)
END IF
!
IF ( LCOLD .AND. NMOD_IFN .GE. 1 ) THEN
ALLOCATE( PIFS(SIZE(PRHODJ,1),SIZE(PRHODJ,2),SIZE(PRHODJ,3),NMOD_IFN) )
ALLOCATE( PINS(SIZE(PRHODJ,1),SIZE(PRHODJ,2),SIZE(PRHODJ,3),NMOD_IFN) )
PIFS(:,:,:,:) = PSVS(:,:,:,NSV_LIMA_IFN_FREE:NSV_LIMA_IFN_FREE+NMOD_IFN-1)
PINS(:,:,:,:) = PSVS(:,:,:,NSV_LIMA_IFN_NUCL:NSV_LIMA_IFN_NUCL+NMOD_IFN-1)
END IF
!
IF ( NMOD_IMM .GE. 1 ) THEN
ALLOCATE( PNIS(SIZE(PRHODJ,1),SIZE(PRHODJ,2),SIZE(PRHODJ,3),NMOD_IMM) )
PNIS(:,:,:,:) = PSVS(:,:,:,NSV_LIMA_IMM_NUCL:NSV_LIMA_IMM_NUCL+NMOD_IMM-1)
END IF
!
!
!-------------------------------------------------------------------------------
!
!
!* 2. COMPUTE QUANTITIES WITH THE GUESS OF THE FUTURE INSTANT
! -------------------------------------------------------
!
!* 2.1 remove negative non-precipitating negative water
! ------------------------------------------------
!
IF (ANY(PRVS(:,:,:)+PRCS(:,:,:)+PRIS(:,:,:) < 0.) .AND. NVERB>5) THEN
WRITE(ILUOUT,*) 'LIMA_ADJUST: negative values of total water (reset to zero)'
WRITE(ILUOUT,*) ' location of minimum PRVS+PRCS+PRIS:',MINLOC(PRVS+PRCS+PRIS)
WRITE(ILUOUT,*) ' value of minimum PRVS+PRCS+PRIS:',MINVAL(PRVS+PRCS+PRIS)
END IF
!
WHERE ( PRVS(:,:,:)+PRCS(:,:,:)+PRIS(:,:,:) < 0.)
PRVS(:,:,:) = - PRCS(:,:,:) - PRIS(:,:,:)
END WHERE
!
!* 2.2 estimate the Exner function at t+1
!
ZEXNS(:,:,:) = ( (2. * PPABST(:,:,:) - PPABSM(:,:,:)) / XP00 ) ** (XRD/XCPD)
!
! beginning of the iterative loop
!
DO JITER =1,ITERMAX
!
!* 2.3 compute the intermediate temperature at t+1, T*
!
ZT(:,:,:) = ( PTHS(:,:,:) * ZDT ) * ZEXNS(:,:,:)
!
!* 2.4 compute the specific heat for moist air (Cph) at t+1
!
ZCPH(:,:,:) = XCPD + XCPV *ZDT* PRVS(:,:,:) &
+ XCL *ZDT* ( PRCS(:,:,:) + PRRS(:,:,:) ) &
+ XCI *ZDT* ( PRIS(:,:,:) + PRSS(:,:,:) + PRGS(:,:,:) )
!
!* 2.5 compute the latent heat of vaporization Lv(T*) at t+1
! and of sublimation Ls(T*) at t+1
!
ZLV(:,:,:) = XLVTT + ( XCPV - XCL ) * ( ZT(:,:,:) -XTT )
ZLS(:,:,:) = XLSTT + ( XCPV - XCI ) * ( ZT(:,:,:) -XTT )
!
!
!-------------------------------------------------------------------------------
!
!* 3. FIRST ORDER SUBGRID CONDENSATION SCHEME
! ---------------------------------------
!
IF ( OSUBG_COND ) THEN
!
! not yet available
!
STOP
ELSE
!
!-------------------------------------------------------------------------------
!
!
!* 4. FULLY EXPLICIT SCHEME FROM TZIVION et al. (1989)
! -----------------------------------------------
!
!* select cases where r_i>0 and r_c=0
!
GMICRO(:,:,:) = .FALSE.
GMICRO(IIB:IIE,IJB:IJE,IKB:IKE) = &
(PRIS(IIB:IIE,IJB:IJE,IKB:IKE)>ZRTMIN(4) .AND. &
PCIS(IIB:IIE,IJB:IJE,IKB:IKE)>ZCTMIN(4) ) &
.AND. .NOT. (PRCS(IIB:IIE,IJB:IJE,IKB:IKE)>ZRTMIN(2) .AND. &
PCCS(IIB:IIE,IJB:IJE,IKB:IKE)>ZCTMIN(2) )
GMICRO_RI(:,:,:) = GMICRO(:,:,:)
IMICRO = COUNTJV( GMICRO(:,:,:),I1(:),I2(:),I3(:))
IF( IMICRO >= 1 ) THEN
ALLOCATE(ZRVT(IMICRO))
ALLOCATE(ZRIT(IMICRO))
ALLOCATE(ZCIT(IMICRO))
!
ALLOCATE(ZRVS(IMICRO))
ALLOCATE(ZRIS(IMICRO))
ALLOCATE(ZCIS(IMICRO)) !!!BVIE!!!
ALLOCATE(ZTHS(IMICRO))
!
ALLOCATE(ZRHODREF(IMICRO))
ALLOCATE(ZZT(IMICRO))
ALLOCATE(ZPRES(IMICRO))
ALLOCATE(ZEXNREF(IMICRO))
ALLOCATE(ZZCPH(IMICRO))
DO JL=1,IMICRO
ZRVT(JL) = PRVT(I1(JL),I2(JL),I3(JL))
ZRIT(JL) = PRIT(I1(JL),I2(JL),I3(JL))
ZCIT(JL) = PCIT(I1(JL),I2(JL),I3(JL))
!
ZRVS(JL) = PRVS(I1(JL),I2(JL),I3(JL))
ZRIS(JL) = PRIS(I1(JL),I2(JL),I3(JL))
ZCIS(JL) = PCIS(I1(JL),I2(JL),I3(JL)) !!!BVIE!!!
ZTHS(JL) = PTHS(I1(JL),I2(JL),I3(JL))
!
ZRHODREF(JL) = PRHODREF(I1(JL),I2(JL),I3(JL))
ZZT(JL) = ZT(I1(JL),I2(JL),I3(JL))
ZPRES(JL) = 2.0*PPABST(I1(JL),I2(JL),I3(JL))-PPABSM(I1(JL),I2(JL),I3(JL))
ZEXNREF(JL) = PEXNREF(I1(JL),I2(JL),I3(JL))
ZZCPH(JL) = ZCPH(I1(JL),I2(JL),I3(JL))
ENDDO
ALLOCATE(ZZW(IMICRO))
ALLOCATE(ZLSFACT(IMICRO))
ZLSFACT(:) = (XLSTT+(XCPV-XCI)*(ZZT(:)-XTT))/ZZCPH(:) ! L_s/C_ph
ALLOCATE(ZRVSATI(IMICRO))
ALLOCATE(ZRVSATI_PRIME(IMICRO))
ALLOCATE(ZDELTI(IMICRO))
ALLOCATE(ZAI(IMICRO))
ALLOCATE(ZCJ(IMICRO))
ALLOCATE(ZKA(IMICRO))
ALLOCATE(ZDV(IMICRO))
ALLOCATE(ZITI(IMICRO))
!
ZKA(:) = 2.38E-2 + 0.0071E-2 * ( ZZT(:) - XTT ) ! k_a
ZDV(:) = 0.211E-4 * (ZZT(:)/XTT)**1.94 * (XP00/ZPRES(:)) ! D_v
ZCJ(:) = XSCFAC * ZRHODREF(:)**0.3 / SQRT( 1.718E-5+0.0049E-5*(ZZT(:)-XTT) )
!
ZZW(:) = EXP( XALPI - XBETAI/ZZT(:) - XGAMI*ALOG(ZZT(:) ) ) ! es_i
ZRVSATI(:) = ZEPS*ZZW(:) / ( ZPRES(:)-ZZW(:) ) ! r_si
ZRVSATI_PRIME(:) = (( XBETAI/ZZT(:) - XGAMI ) / ZZT(:)) & ! r'_si
* ZRVSATI(:) * ( 1. + ZRVSATI(:)/ZEPS )
!
ZDELTI(:) = ZRVS(:)*ZDT - ZRVSATI(:)
ZAI(:) = ( XLSTT + (XCPV-XCI)*(ZZT(:)-XTT) )**2 / (ZKA(:)*XRV*ZZT(:)**2) &
+ ( XRV*ZZT(:) ) / (ZDV(:)*ZZW(:))
ZZW(:) = MIN(1.E8,( XLBI* MAX(ZCIT(:),XCTMIN(4)) &
/(MAX(ZRIT(:),XRTMIN(4))) )**XLBEXI)
! Lbda_I
ZITI(:) = ZCIT(:) * (X0DEPI/ZZW(:) + X2DEPI*ZCJ(:)*ZCJ(:)/ZZW(:)**(XDI+2.0)) &
/ (ZRVSATI(:)*ZAI(:))
!
ALLOCATE(ZAII(IMICRO))
ALLOCATE(ZDEP(IMICRO))
!
ZAII(:) = 1.0 + ZRVSATI_PRIME(:)*ZLSFACT(:)
ZDEP(:) = 0.0
!
ZZW(:) = ZAII(:)*ZITI(:)*ZDT ! R*delta_T
WHERE( ZZW(:)<1.0E-2 )
ZDEP(:) = ZITI(:)*ZDELTI(:)*(1.0 - (ZZW(:)/2.0)*(1.0-ZZW(:)/3.0))
ELSEWHERE
ZDEP(:) = ZITI(:)*ZDELTI(:)*(1.0 - EXP(-ZZW(:)))/ZZW(:)
END WHERE
!
! Integration
!
WHERE( ZDEP(:) < 0.0 )
ZDEP(:) = MAX ( ZDEP(:), -ZRIS(:) )
ELSEWHERE
ZDEP(:) = MIN ( ZDEP(:), ZRVS(:) )
! ZDEP(:) = MIN ( ZDEP(:), ZCIS(:)*5.E-10 ) !!!BVIE!!!
END WHERE
WHERE( ZRIS(:) < ZRTMIN(4) )
ZDEP(:) = 0.0
END WHERE
ZRVS(:) = ZRVS(:) - ZDEP(:)
ZRIS(:) = ZRIS(:) + ZDEP(:)
ZTHS(:) = ZTHS(:) + ZDEP(:) * ZLSFACT(:) / ZEXNREF(:)
!
! Implicit ice crystal sublimation if ice saturated conditions are not met
!
ZZT(:) = ( ZTHS(:) * ZDT ) * ( ZPRES(:) / XP00 ) ** (XRD/XCPD)
ZZW(:) = EXP( XALPI - XBETAI/ZZT(:) - XGAMI*ALOG(ZZT(:) ) ) ! es_i
ZRVSATI(:) = ZEPS*ZZW(:) / ( ZPRES(:)-ZZW(:) ) ! r_si
WHERE( ZRVS(:)*ZDT<ZRVSATI(:) )
ZZW(:) = ZRVS(:) + ZRIS(:)
ZRVS(:) = MIN( ZZW(:),ZRVSATI(:)/ZDT )
ZTHS(:) = ZTHS(:) + ( MAX( 0.0,ZZW(:)-ZRVS(:) )-ZRIS(:) ) &
* ZLSFACT(:) / ZEXNREF(:)
ZRIS(:) = MAX( 0.0,ZZW(:)-ZRVS(:) )
END WHERE
!
!
ZW(:,:,:) = PRVS(:,:,:)
PRVS(:,:,:) = UNPACK( ZRVS(:),MASK=GMICRO(:,:,:),FIELD=ZW(:,:,:) )
ZW(:,:,:) = PRIS(:,:,:)
PRIS(:,:,:) = UNPACK( ZRIS(:),MASK=GMICRO(:,:,:),FIELD=ZW(:,:,:) )
ZW(:,:,:) = PTHS(:,:,:)
PTHS(:,:,:) = UNPACK( ZTHS(:),MASK=GMICRO(:,:,:),FIELD=ZW(:,:,:) )
!
DEALLOCATE(ZRVT)
DEALLOCATE(ZRIT)
DEALLOCATE(ZCIT)
DEALLOCATE(ZRVS)
DEALLOCATE(ZRIS)
DEALLOCATE(ZCIS) !!!BVIE!!!
DEALLOCATE(ZTHS)
DEALLOCATE(ZRHODREF)
DEALLOCATE(ZZT)
DEALLOCATE(ZPRES)
DEALLOCATE(ZEXNREF)
DEALLOCATE(ZZCPH)
DEALLOCATE(ZZW)
DEALLOCATE(ZLSFACT)
DEALLOCATE(ZRVSATI)
DEALLOCATE(ZRVSATI_PRIME)
DEALLOCATE(ZDELTI)
DEALLOCATE(ZAI)
DEALLOCATE(ZCJ)
DEALLOCATE(ZKA)
DEALLOCATE(ZDV)
DEALLOCATE(ZITI)
DEALLOCATE(ZAII)
DEALLOCATE(ZDEP)
END IF ! IMICRO
!
!
!-------------------------------------------------------------------------------
!
!
!* 5. FULLY IMPLICIT CONDENSATION SCHEME
! ---------------------------------
!
!* select cases where r_c>0 and r_i=0
!
!
GMICRO(IIB:IIE,IJB:IJE,IKB:IKE) = &
.NOT. GMICRO_RI(IIB:IIE,IJB:IJE,IKB:IKE) &
.AND. ( PRCS(IIB:IIE,IJB:IJE,IKB:IKE)>ZRTMIN(2) .AND. &
PCCS(IIB:IIE,IJB:IJE,IKB:IKE)>ZCTMIN(2) ) &
.AND. .NOT. ( PRIS(IIB:IIE,IJB:IJE,IKB:IKE)>ZRTMIN(4) .AND. &
PCIS(IIB:IIE,IJB:IJE,IKB:IKE)>ZCTMIN(4) )
GMICRO_RC(:,:,:) = GMICRO(:,:,:)
IMICRO = COUNTJV( GMICRO(:,:,:),I1(:),I2(:),I3(:))
IF( IMICRO >= 1 ) THEN
ALLOCATE(ZRVT(IMICRO))
ALLOCATE(ZRCT(IMICRO))
!
ALLOCATE(ZRVS(IMICRO))
ALLOCATE(ZRCS(IMICRO))
ALLOCATE(ZTHS(IMICRO))
!
ALLOCATE(ZRHODREF(IMICRO))
ALLOCATE(ZZT(IMICRO))
ALLOCATE(ZPRES(IMICRO))
ALLOCATE(ZEXNREF(IMICRO))
ALLOCATE(ZZCPH(IMICRO))
DO JL=1,IMICRO
ZRVT(JL) = PRVT(I1(JL),I2(JL),I3(JL))
ZRCT(JL) = PRCT(I1(JL),I2(JL),I3(JL))
!
ZRVS(JL) = PRVS(I1(JL),I2(JL),I3(JL))
ZRCS(JL) = PRCS(I1(JL),I2(JL),I3(JL))
ZTHS(JL) = PTHS(I1(JL),I2(JL),I3(JL))
!
ZRHODREF(JL) = PRHODREF(I1(JL),I2(JL),I3(JL))
ZZT(JL) = ZT(I1(JL),I2(JL),I3(JL))
ZPRES(JL) = 2.0*PPABST(I1(JL),I2(JL),I3(JL))-PPABSM(I1(JL),I2(JL),I3(JL))
ZEXNREF(JL) = PEXNREF(I1(JL),I2(JL),I3(JL))
ZZCPH(JL) = ZCPH(I1(JL),I2(JL),I3(JL))
ENDDO
ALLOCATE(ZZW(IMICRO))
ALLOCATE(ZLVFACT(IMICRO))
ZLVFACT(:) = (XLVTT+(XCPV-XCL)*(ZZT(:)-XTT))/ZZCPH(:) ! L_v/C_ph
ALLOCATE(ZRVSATW(IMICRO))
ALLOCATE(ZRVSATW_PRIME(IMICRO))
!
ZZW(:) = EXP( XALPW - XBETAW/ZZT(:) - XGAMW*ALOG(ZZT(:) ) ) ! es_w
ZRVSATW(:) = ZEPS*ZZW(:) / ( ZPRES(:)-ZZW(:) ) ! r_sw
ZRVSATW_PRIME(:) = (( XBETAW/ZZT(:) - XGAMW ) / ZZT(:)) & ! r'_sw
* ZRVSATW(:) * ( 1. + ZRVSATW(:)/ZEPS )
ALLOCATE(ZAWW(IMICRO))
ALLOCATE(ZDELT1(IMICRO))
ALLOCATE(ZDELT2(IMICRO))
ALLOCATE(ZCND(IMICRO))
!
ZAWW(:) = 1.0 + ZRVSATW_PRIME(:)*ZLVFACT(:)
ZDELT2(:) = (ZRVSATW_PRIME(:)*ZLVFACT(:)/ZAWW(:)) * &
( ((-2.*XBETAW+XGAMW*ZZT(:))/(XBETAW-XGAMW*ZZT(:)) &
+ (XBETAW/ZZT(:)-XGAMW)*(1.0+2.0*ZRVSATW(:)/ZEPS))/ZZT(:) )
ZDELT1(:) = (ZLVFACT(:)/ZAWW(:)) * ( ZRVSATW(:) - ZRVS(:)*ZDT )
ZCND(:) = - ZDELT1(:)*( 1.0 + 0.5*ZDELT1(:)*ZDELT2(:) ) / (ZLVFACT(:)*ZDT)
!
! Integration
!
WHERE( ZCND(:) < 0.0 )
ZCND(:) = MAX ( ZCND(:), -ZRCS(:) )
ELSEWHERE
ZCND(:) = MIN ( ZCND(:), ZRVS(:) )
END WHERE
ZRVS(:) = ZRVS(:) - ZCND(:)
ZRCS(:) = ZRCS(:) + ZCND(:)
ZTHS(:) = ZTHS(:) + ZCND(:) * ZLVFACT(:) / ZEXNREF(:)
!
ZW(:,:,:) = PRVS(:,:,:)
PRVS(:,:,:) = UNPACK( ZRVS(:),MASK=GMICRO(:,:,:),FIELD=ZW(:,:,:) )
ZW(:,:,:) = PRCS(:,:,:)
PRCS(:,:,:) = UNPACK( ZRCS(:),MASK=GMICRO(:,:,:),FIELD=ZW(:,:,:) )
ZW(:,:,:) = PTHS(:,:,:)
PTHS(:,:,:) = UNPACK( ZTHS(:),MASK=GMICRO(:,:,:),FIELD=ZW(:,:,:) )
!
DEALLOCATE(ZRVT)
DEALLOCATE(ZRCT)
DEALLOCATE(ZRVS)
DEALLOCATE(ZRCS)
DEALLOCATE(ZTHS)
DEALLOCATE(ZRHODREF)
DEALLOCATE(ZZT)
DEALLOCATE(ZPRES)
DEALLOCATE(ZEXNREF)
DEALLOCATE(ZZCPH)
DEALLOCATE(ZZW)
DEALLOCATE(ZLVFACT)
DEALLOCATE(ZRVSATW)
DEALLOCATE(ZRVSATW_PRIME)
DEALLOCATE(ZAWW)
DEALLOCATE(ZDELT1)
DEALLOCATE(ZDELT2)
DEALLOCATE(ZCND)
END IF ! IMICRO
!
!
!-------------------------------------------------------------------------------
!
!
!* 6. IMPLICIT-EXPLICIT SCHEME USING REISIN et al. (1996)
! ---------------------------------------------------
!
!* select cases where r_i>0 and r_c>0 (supercooled water)
!
!
GMICRO(IIB:IIE,IJB:IJE,IKB:IKE) = &
.NOT. GMICRO_RI(IIB:IIE,IJB:IJE,IKB:IKE) &
.AND. .NOT. GMICRO_RC(IIB:IIE,IJB:IJE,IKB:IKE) &
.AND. ( PRIS(IIB:IIE,IJB:IJE,IKB:IKE)>ZRTMIN(4) .AND. &
PCIS(IIB:IIE,IJB:IJE,IKB:IKE)>ZCTMIN(4) ) &
.AND. ( PRCS(IIB:IIE,IJB:IJE,IKB:IKE)>ZRTMIN(2) .AND. &
PCCS(IIB:IIE,IJB:IJE,IKB:IKE)>ZCTMIN(2) )
IMICRO = COUNTJV( GMICRO(:,:,:),I1(:),I2(:),I3(:))
IF( IMICRO >= 1 ) THEN
ALLOCATE(ZRVT(IMICRO))
ALLOCATE(ZRCT(IMICRO))
ALLOCATE(ZRIT(IMICRO))
ALLOCATE(ZCCT(IMICRO))
ALLOCATE(ZCIT(IMICRO))
!
ALLOCATE(ZRVS(IMICRO))
ALLOCATE(ZRCS(IMICRO))
ALLOCATE(ZRIS(IMICRO))
ALLOCATE(ZCCS(IMICRO))
ALLOCATE(ZCIS(IMICRO))
ALLOCATE(ZTHS(IMICRO))
!
ALLOCATE(ZRHODREF(IMICRO))
ALLOCATE(ZZT(IMICRO))
ALLOCATE(ZPRES(IMICRO))
ALLOCATE(ZEXNREF(IMICRO))
ALLOCATE(ZZCPH(IMICRO))
DO JL=1,IMICRO
ZRVT(JL) = PRVT(I1(JL),I2(JL),I3(JL))
ZRCT(JL) = PRCT(I1(JL),I2(JL),I3(JL))
ZRIT(JL) = PRIT(I1(JL),I2(JL),I3(JL))
ZCCT(JL) = PCCT(I1(JL),I2(JL),I3(JL))
ZCIT(JL) = PCIT(I1(JL),I2(JL),I3(JL))
!
ZRVS(JL) = PRVS(I1(JL),I2(JL),I3(JL))
ZRCS(JL) = PRCS(I1(JL),I2(JL),I3(JL))
ZRIS(JL) = PRIS(I1(JL),I2(JL),I3(JL))
ZCCS(JL) = PCCS(I1(JL),I2(JL),I3(JL))
ZCIS(JL) = PCIS(I1(JL),I2(JL),I3(JL))
ZTHS(JL) = PTHS(I1(JL),I2(JL),I3(JL))
!
ZRHODREF(JL) = PRHODREF(I1(JL),I2(JL),I3(JL))
ZZT(JL) = ZT(I1(JL),I2(JL),I3(JL))
ZPRES(JL) = 2.0*PPABST(I1(JL),I2(JL),I3(JL))-PPABSM(I1(JL),I2(JL),I3(JL))
ZEXNREF(JL) = PEXNREF(I1(JL),I2(JL),I3(JL))
ZZCPH(JL) = ZCPH(I1(JL),I2(JL),I3(JL))
ENDDO
ALLOCATE(ZZW(IMICRO))
ALLOCATE(ZLVFACT(IMICRO))
ALLOCATE(ZLSFACT(IMICRO))
ZLVFACT(:) = (XLVTT+(XCPV-XCL)*(ZZT(:)-XTT))/ZZCPH(:) ! L_v/C_ph
ZLSFACT(:) = (XLSTT+(XCPV-XCI)*(ZZT(:)-XTT))/ZZCPH(:) ! L_s/C_ph
ALLOCATE(ZRVSATW(IMICRO))
ALLOCATE(ZRVSATI(IMICRO))
ALLOCATE(ZRVSATW_PRIME(IMICRO))
ALLOCATE(ZRVSATI_PRIME(IMICRO))
ALLOCATE(ZDELTW(IMICRO))
ALLOCATE(ZDELTI(IMICRO))
ALLOCATE(ZAW(IMICRO))
ALLOCATE(ZAI(IMICRO))
ALLOCATE(ZCJ(IMICRO))
ALLOCATE(ZKA(IMICRO))
ALLOCATE(ZDV(IMICRO))
ALLOCATE(ZITW(IMICRO))
ALLOCATE(ZITI(IMICRO))
!
ZKA(:) = 2.38E-2 + 0.0071E-2 * ( ZZT(:) - XTT ) ! k_a
ZDV(:) = 0.211E-4 * (ZZT(:)/XTT)**1.94 * (XP00/ZPRES(:)) ! D_v
ZCJ(:) = XSCFAC * ZRHODREF(:)**0.3 / SQRT( 1.718E-5+0.0049E-5*(ZZT(:)-XTT) )
!
!* 6.2 implicit adjustment at water saturation
!
ZZW(:) = EXP( XALPW - XBETAW/ZZT(:) - XGAMW*ALOG(ZZT(:) ) ) ! es_w
ZRVSATW(:) = ZEPS*ZZW(:) / ( ZPRES(:)-ZZW(:) ) ! r_sw
ZRVSATW_PRIME(:) = (( XBETAW/ZZT(:) - XGAMW ) / ZZT(:)) & ! r'_sw
* ZRVSATW(:) * ( 1. + ZRVSATW(:)/ZEPS )
ZDELTW(:) = ABS( ZRVS(:)*ZDT - ZRVSATW(:) )
ZAW(:) = ( XLSTT + (XCPV-XCL)*(ZZT(:)-XTT) )**2 / (ZKA(:)*XRV*ZZT(:)**2) &
+ ( XRV*ZZT(:) ) / (ZDV(:)*ZZW(:))
ZZW(:) = EXP( XALPI - XBETAI/ZZT(:) - XGAMI*ALOG(ZZT(:) ) ) ! es_i
ZRVSATI(:) = ZEPS*ZZW(:) / ( ZPRES(:)-ZZW(:) ) ! r_si
ZRVSATI_PRIME(:) = (( XBETAI/ZZT(:) - XGAMI ) / ZZT(:)) & ! r'_si
* ZRVSATI(:) * ( 1. + ZRVSATI(:)/ZEPS )
ZDELTI(:) = ABS( ZRVS(:)*ZDT - ZRVSATI(:) )
ZAI(:) = ( XLSTT + (XCPV-XCI)*(ZZT(:)-XTT) )**2 / (ZKA(:)*XRV*ZZT(:)**2) &
+ ( XRV*ZZT(:) ) / (ZDV(:)*ZZW(:))
!
ZZW(:) = MIN(1.E8,( XLBC* MAX(ZCCT(:),XCTMIN(2)) &
/(MAX(ZRCT(:),XRTMIN(2))) )**XLBEXC)
! Lbda_c
ZITW(:) = ZCCT(:) * (X0CNDC/ZZW(:) + X2CNDC*ZCJ(:)*ZCJ(:)/ZZW(:)**(XDC+2.0)) &
/ (ZRVSATW(:)*ZAW(:))
ZZW(:) = MIN(1.E8,( XLBI* MAX(ZCIT(:),XCTMIN(4)) &
/(MAX(ZRIT(:),XRTMIN(4))) )**XLBEXI)
! Lbda_I
ZITI(:) = ZCIT(:) * (X0DEPI/ZZW(:) + X2DEPI*ZCJ(:)*ZCJ(:)/ZZW(:)**(XDI+2.0)) &
/ (ZRVSATI(:)*ZAI(:))
!
ALLOCATE(ZAWW(IMICRO))
ALLOCATE(ZAIW(IMICRO))
ALLOCATE(ZAWI(IMICRO))
ALLOCATE(ZAII(IMICRO))
!
ALLOCATE(ZFACT(IMICRO))
ALLOCATE(ZDELT1(IMICRO))
ALLOCATE(ZDELT2(IMICRO))
!
ZAII(:) = ZITI(:)*ZDELTI(:)
WHERE( ZAII(:)<1.0E-15 )
ZFACT(:) = ZLVFACT(:)
ELSEWHERE
ZFACT(:) = (ZLVFACT(:)*ZITW(:)*ZDELTW(:)+ZLSFACT(:)*ZITI(:)*ZDELTI(:)) &
/ (ZITW(:)*ZDELTW(:)+ZITI(:)*ZDELTI(:))
END WHERE
ZAWW(:) = 1.0 + ZRVSATW_PRIME(:)*ZFACT(:)
!
ZDELT2(:) = (ZRVSATW_PRIME(:)*ZFACT(:)/ZAWW(:)) * &
( ((-2.*XBETAW+XGAMW*ZZT(:))/(XBETAW-XGAMW*ZZT(:)) &
+ (XBETAW/ZZT(:)-XGAMW)*(1.0+2.0*ZRVSATW(:)/ZEPS))/ZZT(:) )
ZDELT1(:) = (ZFACT(:)/ZAWW(:)) * ( ZRVSATW(:) - ZRVS(:)*ZDT )
!
ALLOCATE(ZCND(IMICRO))
ALLOCATE(ZDEP(IMICRO))
ZCND(:) = 0.0
ZDEP(:) = 0.0
!
ZZW(:) = - ZDELT1(:)*( 1.0 + 0.5*ZDELT1(:)*ZDELT2(:) ) / (ZFACT(:)*ZDT)
WHERE( ZAII(:)<1.0E-15 )
ZCND(:) = ZZW(:)
ZDEP(:) = 0.0
ELSEWHERE
ZCND(:) = ZZW(:)*ZITW(:)*ZDELTW(:) / (ZITW(:)*ZDELTW(:)+ZITI(:)*ZDELTI(:))
ZDEP(:) = ZZW(:)*ZITI(:)*ZDELTI(:) / (ZITW(:)*ZDELTW(:)+ZITI(:)*ZDELTI(:))
END WHERE
!
! Integration
!
WHERE( ZCND(:) < 0.0 )
ZCND(:) = MAX ( ZCND(:), -ZRCS(:) )
ELSEWHERE
ZCND(:) = MIN ( ZCND(:), ZRVS(:) )
END WHERE
ZRVS(:) = ZRVS(:) - ZCND(:)
ZRCS(:) = ZRCS(:) + ZCND(:)
ZTHS(:) = ZTHS(:) + ZCND(:) * ZLVFACT(:) / ZEXNREF(:)
!
WHERE( ZDEP(:) < 0.0 )
ZDEP(:) = MAX ( ZDEP(:), -ZRIS(:) )
ELSEWHERE
ZDEP(:) = MIN ( ZDEP(:), ZRVS(:) )
END WHERE
ZRVS(:) = ZRVS(:) - ZDEP(:)
ZRIS(:) = ZRIS(:) + ZDEP(:)
ZTHS(:) = ZTHS(:) + ZDEP(:) * ZLSFACT(:) / ZEXNREF(:)
!
!* 6.3 explicit integration of the final eva/dep rates
!
ZZT(:) = ( ZTHS(:) * ZDT ) * ( ZPRES(:) / XP00 ) ** (XRD/XCPD)
ZZW(:) = EXP( XALPI - XBETAI/ZZT(:) - XGAMI*ALOG(ZZT(:) ) ) ! es_i
ZRVSATI(:) = ZEPS*ZZW(:) / ( ZPRES(:)-ZZW(:) ) ! r_si
!
! If Si < 0, implicit adjustment to Si=0 using ice only
!
WHERE( ZRVS(:)*ZDT<ZRVSATI(:) )
ZZW(:) = ZRVS(:) + ZRIS(:)
ZRVS(:) = MIN( ZZW(:),ZRVSATI(:)/ZDT )
ZTHS(:) = ZTHS(:) + ( MAX( 0.0,ZZW(:)-ZRVS(:) )-ZRIS(:) ) &
* ZLSFACT(:) / ZEXNREF(:)
ZRIS(:) = MAX( 0.0,ZZW(:)-ZRVS(:) )
END WHERE
!
! Following the previous adjustment, the real procedure begins
!
ZZT(:) = ( ZTHS(:) * ZDT ) * ( ZPRES(:) / XP00 ) ** (XRD/XCPD)
!
ZLVFACT(:) = (XLVTT+(XCPV-XCL)*(ZZT(:)-XTT))/ZZCPH(:) ! L_v/C_ph
ZLSFACT(:) = (XLSTT+(XCPV-XCI)*(ZZT(:)-XTT))/ZZCPH(:) ! L_s/C_ph
!
ZKA(:) = 2.38E-2 + 0.0071E-2 * ( ZZT(:) - XTT ) ! k_a
ZDV(:) = 0.211E-4 * (ZZT(:)/XTT)**1.94 * (XP00/ZPRES(:)) ! D_v
ZCJ(:) = XSCFAC * ZRHODREF(:)**0.3 / SQRT( 1.718E-5+0.0049E-5*(ZZT(:)-XTT) )
!
ZZW(:) = EXP( XALPW - XBETAW/ZZT(:) - XGAMW*ALOG(ZZT(:) ) ) ! es_w
ZRVSATW(:) = ZEPS*ZZW(:) / ( ZPRES(:)-ZZW(:) ) ! r_sw
ZRVSATW_PRIME(:) = (( XBETAW/ZZT(:) - XGAMW ) / ZZT(:)) & ! r'_sw
* ZRVSATW(:) * ( 1. + ZRVSATW(:)/ZEPS )
ZDELTW(:) = ZRVS(:)*ZDT - ZRVSATW(:)
ZAW(:) = ( XLSTT + (XCPV-XCL)*(ZZT(:)-XTT) )**2 / (ZKA(:)*XRV*ZZT(:)**2) &
+ ( XRV*ZZT(:) ) / (ZDV(:)*ZZW(:))
!
ZZW(:) = EXP( XALPI - XBETAI/ZZT(:) - XGAMI*ALOG(ZZT(:) ) ) ! es_i
ZRVSATI(:) = ZEPS*ZZW(:) / ( ZPRES(:)-ZZW(:) ) ! r_si
ZRVSATI_PRIME(:) = (( XBETAI/ZZT(:) - XGAMI ) / ZZT(:)) & ! r'_si
* ZRVSATI(:) * ( 1. + ZRVSATI(:)/ZEPS )
ZDELTI(:) = ZRVS(:)*ZDT - ZRVSATI(:)
ZAI(:) = ( XLSTT + (XCPV-XCI)*(ZZT(:)-XTT) )**2 / (ZKA(:)*XRV*ZZT(:)**2) &
+ ( XRV*ZZT(:) ) / (ZDV(:)*ZZW(:))
!
ZZW(:) = MIN(1.E8,( XLBC* MAX(ZCCS(:),ZCTMIN(2)) &
/(MAX(ZRCS(:),ZRTMIN(2))) )**XLBEXC)
! Lbda_c
ZITW(:) = ZCCT(:) * (X0CNDC/ZZW(:) + X2CNDC*ZCJ(:)*ZCJ(:)/ZZW(:)**(XDC+2.0)) &
/ (ZRVSATW(:)*ZAW(:))
ZZW(:) = MIN(1.E8,( XLBI* MAX(ZCIS(:),ZCTMIN(4)) &
/(MAX(ZRIS(:),ZRTMIN(4))) )**XLBEXI)
! Lbda_I
ZITI(:) = ZCIT(:) * (X0DEPI/ZZW(:) + X2DEPI*ZCJ(:)*ZCJ(:)/ZZW(:)**(XDI+2.0)) &
/ (ZRVSATI(:)*ZAI(:))
!
ZAWW(:) = 1.0 + ZRVSATW_PRIME(:)*ZLVFACT(:)
ZAIW(:) = 1.0 + ZRVSATI_PRIME(:)*ZLVFACT(:)
ZAWI(:) = 1.0 + ZRVSATW_PRIME(:)*ZLSFACT(:)
ZAII(:) = 1.0 + ZRVSATI_PRIME(:)*ZLSFACT(:)
!
ZCND(:) = 0.0
ZDEP(:) = 0.0
ZZW(:) = ZAWW(:)*ZITW(:) + ZAII(:)*ZITI(:) ! R
WHERE( ZZW(:)<1.0E-2 )
ZFACT(:) = ZDT*(0.5 - (ZZW(:)*ZDT)/6.0)
ELSEWHERE
ZFACT(:) = (1.0/ZZW(:))*(1.0-(1.0-EXP(-ZZW(:)*ZDT))/(ZZW(:)*ZDT))
END WHERE
ZCND(:) = ZITW(:)*(ZDELTW(:)-( ZAWW(:)*ZITW(:)*ZDELTW(:) &
+ ZAWI(:)*ZITI(:)*ZDELTI(:) )*ZFACT(:))
ZDEP(:) = ZITI(:)*(ZDELTI(:)-( ZAIW(:)*ZITW(:)*ZDELTW(:) &
+ ZAII(:)*ZITI(:)*ZDELTI(:) )*ZFACT(:))
!
! Integration
!
WHERE( ZCND(:) < 0.0 )
ZCND(:) = MAX ( ZCND(:), -ZRCS(:) )
ELSEWHERE
ZCND(:) = MIN ( ZCND(:), ZRVS(:) )
END WHERE
WHERE( ZRCS(:) < ZRTMIN(2) )
ZCND(:) = 0.0
END WHERE
ZRVS(:) = ZRVS(:) - ZCND(:)
ZRCS(:) = ZRCS(:) + ZCND(:)
ZTHS(:) = ZTHS(:) + ZCND(:) * ZLVFACT(:) / ZEXNREF(:)
!
WHERE( ZDEP(:) < 0.0 )
ZDEP(:) = MAX ( ZDEP(:), -ZRIS(:) )
ELSEWHERE
ZDEP(:) = MIN ( ZDEP(:), ZRVS(:) )
END WHERE
WHERE( ZRIS(:) < ZRTMIN(4) )
ZDEP(:) = 0.0
END WHERE
ZRVS(:) = ZRVS(:) - ZDEP(:)
ZRIS(:) = ZRIS(:) + ZDEP(:)
ZTHS(:) = ZTHS(:) + ZDEP(:) * ZLSFACT(:) / ZEXNREF(:)
!
! Implicit ice crystal sublimation if ice saturated conditions are not met
!
ZZT(:) = ( ZTHS(:) * ZDT ) * ( ZPRES(:) / XP00 ) ** (XRD/XCPD)
ZLVFACT(:) = (XLVTT+(XCPV-XCL)*(ZZT(:)-XTT))/ZZCPH(:) ! L_v/C_ph
ZLSFACT(:) = (XLSTT+(XCPV-XCI)*(ZZT(:)-XTT))/ZZCPH(:) ! L_s/C_ph
ZZW(:) = EXP( XALPI - XBETAI/ZZT(:) - XGAMI*ALOG(ZZT(:) ) ) ! es_i
ZRVSATI(:) = ZEPS*ZZW(:) / ( ZPRES(:)-ZZW(:) ) ! r_si
WHERE( ZRVS(:)*ZDT<ZRVSATI(:) )
ZZW(:) = ZRVS(:) + ZRIS(:)
ZRVS(:) = MIN( ZZW(:),ZRVSATI(:)/ZDT )
ZTHS(:) = ZTHS(:) + ( MAX( 0.0,ZZW(:)-ZRVS(:) )-ZRIS(:) ) &
* ZLSFACT(:) / ZEXNREF(:)
ZRIS(:) = MAX( 0.0,ZZW(:)-ZRVS(:) )
END WHERE
!
!
!
ZW(:,:,:) = PRVS(:,:,:)
PRVS(:,:,:) = UNPACK( ZRVS(:),MASK=GMICRO(:,:,:),FIELD=ZW(:,:,:) )
ZW(:,:,:) = PRCS(:,:,:)
PRCS(:,:,:) = UNPACK( ZRCS(:),MASK=GMICRO(:,:,:),FIELD=ZW(:,:,:) )
ZW(:,:,:) = PRIS(:,:,:)
PRIS(:,:,:) = UNPACK( ZRIS(:),MASK=GMICRO(:,:,:),FIELD=ZW(:,:,:) )
ZW(:,:,:) = PTHS(:,:,:)
PTHS(:,:,:) = UNPACK( ZTHS(:),MASK=GMICRO(:,:,:),FIELD=ZW(:,:,:) )
!
DEALLOCATE(ZRVT)
DEALLOCATE(ZRCT)
DEALLOCATE(ZRIT)
DEALLOCATE(ZCCT)
DEALLOCATE(ZCIT)
DEALLOCATE(ZRVS)
DEALLOCATE(ZRCS)
DEALLOCATE(ZRIS)
DEALLOCATE(ZCCS)
DEALLOCATE(ZCIS)
DEALLOCATE(ZTHS)
DEALLOCATE(ZRHODREF)
DEALLOCATE(ZZT)
DEALLOCATE(ZPRES)
DEALLOCATE(ZEXNREF)
DEALLOCATE(ZZCPH)
DEALLOCATE(ZZW)
DEALLOCATE(ZLVFACT)
DEALLOCATE(ZLSFACT)
DEALLOCATE(ZRVSATW)
DEALLOCATE(ZRVSATI)
DEALLOCATE(ZRVSATW_PRIME)
DEALLOCATE(ZRVSATI_PRIME)
DEALLOCATE(ZDELTW)
DEALLOCATE(ZDELTI)