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!MNH_LIC Copyright 2013-2019 CNRS, Meteo-France and Universite Paul Sabatier
!MNH_LIC This is part of the Meso-NH software governed by the CeCILL-C licence
WAUTELET Philippe
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!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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!-----------------------------------------------------------------
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! ###################################
MODULE MODI_LIMA_WARM_SEDIMENTATION
! ###################################
!
INTERFACE
SUBROUTINE LIMA_WARM_SEDIMENTATION (OSEDC, KSPLITR, PTSTEP, KMI, &
PZZ, PRHODREF, PPABST, ZT, &
ZWLBDC, &
PRCT, PRRT, PCCT, PCRT, &
PRCS, PRRS, PCCS, PCRS, &
PINPRC, PINPRR, PINPRR3D )
!
LOGICAL, INTENT(IN) :: OSEDC ! switch to activate the
! cloud droplet sedimentation
INTEGER, INTENT(IN) :: KSPLITR ! Number of small time step
! for sedimendation
REAL, INTENT(IN) :: PTSTEP ! Double Time step
! (single if cold start)
INTEGER, INTENT(IN) :: KMI ! Model index
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PZZ ! Height (z)
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRHODREF ! Reference density
REAL, DIMENSION(:,:,:), INTENT(IN) :: PPABST ! abs. pressure at time t
REAL, DIMENSION(:,:,:), INTENT(IN) :: ZT ! Temperature
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: ZWLBDC ! libre parcours moyen
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRCT ! Cloud water m.r. at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRRT ! Rain water m.r. at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PCCT ! Cloud water C. at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PCRT ! Rain water C. at t
!
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PRCS ! Cloud water m.r. source
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PRRS ! Rain water m.r. source
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PCCS ! Cloud water C. source
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PCRS ! Rain water C. source
!
REAL, DIMENSION(:,:), INTENT(INOUT) :: PINPRC ! Cloud instant precip
REAL, DIMENSION(:,:), INTENT(INOUT) :: PINPRR ! Rain instant precip
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PINPRR3D ! Rain inst precip 3D
!
END SUBROUTINE LIMA_WARM_SEDIMENTATION
END INTERFACE
END MODULE MODI_LIMA_WARM_SEDIMENTATION
! #####################################################################
SUBROUTINE LIMA_WARM_SEDIMENTATION (OSEDC, KSPLITR, PTSTEP, KMI, &
PZZ, PRHODREF, PPABST, ZT, &
ZWLBDC, &
PRCT, PRRT, PCCT, PCRT, &
PRCS, PRRS, PCCS, PCRS, &
PINPRC, PINPRR, PINPRR3D )
! #####################################################################
!
!!
!! PURPOSE
!! -------
!! The purpose of this routine is to compute the sedimentation
!! of cloud droplets and rain drops
!!
!!
!!** METHOD
!! ------
!! The sedimentation rates are computed with a time spliting technique:
!! an upstream scheme, written as a difference of non-advective fluxes.
!! This source term is added to the next coming time step (split-implicit
!! process).
!!
!!
!! REFERENCE
!! ---------
!!
!! Cohard, J.-M. and J.-P. Pinty, 2000: A comprehensive two-moment warm
!! microphysical bulk scheme.
!! Part I: Description and tests
!! Part II: 2D experiments with a non-hydrostatic model
!! Accepted for publication in Quart. J. Roy. Meteor. Soc.
!!
!! AUTHOR
!! ------
!! 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
WAUTELET Philippe
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! P. Wautelet 26/04/2019: replace non-standard FLOAT function by REAL function
! P. Wautelet 28/05/2019: move COUNTJV function to tools.f90
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!
!-------------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
!
USE MODD_CST, ONLY: XRHOLW
USE MODD_PARAMETERS, ONLY: JPHEXT, JPVEXT
USE MODD_PARAM_LIMA, ONLY: XRTMIN, XCTMIN, XALPHAC, XNUC, XCEXVT
USE MODD_PARAM_LIMA_WARM, ONLY: XLBC, XLBEXC, XLBR, XLBEXR, &
XFSEDRC, XFSEDCC, XFSEDRR, XFSEDCR,&
XDC, XDR
use mode_tools, only: Countjv
USE MODI_GAMMA, ONLY: GAMMA_X0D
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IMPLICIT NONE
!
!* 0.1 Declarations of dummy arguments :
!
LOGICAL, INTENT(IN) :: OSEDC ! switch to activate the
! cloud droplet sedimentation
INTEGER, INTENT(IN) :: KSPLITR ! Number of small time step
! for sedimendation
REAL, INTENT(IN) :: PTSTEP ! Double Time step
! (single if cold start)
INTEGER, INTENT(IN) :: KMI ! Model index
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PZZ ! Height (z)
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRHODREF ! Reference density
REAL, DIMENSION(:,:,:), INTENT(IN) :: PPABST ! abs. pressure at time t
REAL, DIMENSION(:,:,:), INTENT(IN) :: ZT ! Temperature
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: ZWLBDC ! libre parcours moyen
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRCT ! Cloud water m.r. at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRRT ! Rain water m.r. at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PCCT ! Cloud water C. at t
REAL, DIMENSION(:,:,:), INTENT(IN) :: PCRT ! Rain water C. at t
!
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PRCS ! Cloud water m.r. source
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PRRS ! Rain water m.r. source
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PCCS ! Cloud water C. source
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PCRS ! Rain water C. source
!
REAL, DIMENSION(:,:), INTENT(INOUT) :: PINPRC ! Cloud instant precip
REAL, DIMENSION(:,:), INTENT(INOUT) :: PINPRR ! Rain instant precip
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PINPRR3D ! Rain inst precip 3D
!
!
!* 0.2 Declarations of local variables :
!
! Packing variables
LOGICAL, DIMENSION(SIZE(PRHODREF,1),SIZE(PRHODREF,2),SIZE(PRHODREF,3)) :: GSEDIM
INTEGER :: ISEDIM
INTEGER , DIMENSION(SIZE(GSEDIM)) :: I1,I2,I3 ! Used to replace the COUNT
INTEGER :: JL ! and PACK intrinsics
!
! Packed micophysical variables
REAL, DIMENSION(:) , ALLOCATABLE :: ZRCT ! Cloud water m.r. at t
REAL, DIMENSION(:) , ALLOCATABLE :: ZRRT ! Rain water m.r. at t
REAL, DIMENSION(:) , ALLOCATABLE :: ZCCT ! cloud conc. at t
REAL, DIMENSION(:) , ALLOCATABLE :: ZCRT ! rain conc. at t
!
REAL, DIMENSION(:) , ALLOCATABLE :: ZRCS ! Cloud water m.r. source
REAL, DIMENSION(:) , ALLOCATABLE :: ZRRS ! Rain water m.r. source
REAL, DIMENSION(:) , ALLOCATABLE :: ZCCS ! cloud conc. source
REAL, DIMENSION(:) , ALLOCATABLE :: ZCRS ! rain conc. source
!
! Other packed variables
REAL, DIMENSION(:) , ALLOCATABLE :: ZRHODREF ! RHO Dry REFerence
REAL, DIMENSION(:) , ALLOCATABLE :: ZLBDC
REAL, DIMENSION(:) , ALLOCATABLE :: ZLBDR
!
! Work arrays
REAL, DIMENSION(SIZE(PRHODREF,1),SIZE(PRHODREF,2),SIZE(PRHODREF,3)) &
:: ZW, &
ZWLBDA, & ! Mean free path
ZWSEDR, ZWSEDC, & ! Sedim. fluxes
ZRAY, & ! Mean volumic radius
ZCC ! Terminal vertical velocity
!
REAL, DIMENSION(:), ALLOCATABLE :: ZZW1, ZZW2, ZZW3, &
ZTCC, &
ZRTMIN, ZCTMIN
!
!
INTEGER :: JK ! Vertical loop index for the rain sedimentation
INTEGER :: JN ! Temporal loop index for the rain sedimentation
INTEGER :: IIB, IIE, IJB, IJE, IKB, IKE ! Physical domain
REAL :: ZTSPLITR ! Small time step for rain sedimentation
!
!-------------------------------------------------------------------------------
!
! 0. Prepare computations
! -----------------------
!
!
ALLOCATE(ZRTMIN(SIZE(XCTMIN)))
ALLOCATE(ZCTMIN(SIZE(XCTMIN)))
ZRTMIN(:) = XRTMIN(:) / PTSTEP
ZCTMIN(:) = XCTMIN(:) / PTSTEP
!
IIB=1+JPHEXT
IIE=SIZE(PZZ,1) - JPHEXT
IJB=1+JPHEXT
IJE=SIZE(PZZ,2) - JPHEXT
IKB=1+JPVEXT
IKE=SIZE(PZZ,3) - JPVEXT
!
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ZTSPLITR= PTSTEP / REAL(KSPLITR)
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!
PINPRC(:,:) = 0.
PINPRR(:,:) = 0.
PINPRR3D(:,:,:) = 0.
!
IF (OSEDC) THEN
ZWLBDA(:,:,:) = 0.
ZRAY(:,:,:) = 0.
ZCC(:,:,:) = 1.
DO JK=IKB,IKE
ZWLBDA(:,:,JK) = 6.6E-8*(101325./PPABST(:,:,JK))*(ZT(:,:,JK)/293.15)
END DO
WHERE (PRCT(:,:,:)>XRTMIN(2) .AND. PCCT(:,:,:)>XCTMIN(2))
ZRAY(:,:,:) = 0.5*GAMMA_X0D(XNUC+1./XALPHAC)/(GAMMA_X0D(XNUC)*ZWLBDC(:,:,:))
! ZCC : Corrective Cunningham term for the terminal velocity
ZCC(:,:,:)=1.+1.26*ZWLBDA(:,:,:)/ZRAY(:,:,:)
END WHERE
END IF
!
!-------------------------------------------------------------------------------
!
!
! 1. Computations only where necessary
! ------------------------------------
!
!
DO JN = 1 , KSPLITR
GSEDIM(:,:,:) = .FALSE.
GSEDIM(IIB:IIE,IJB:IJE,IKB:IKE) = PRRS(IIB:IIE,IJB:IJE,IKB:IKE)>ZRTMIN(3) &
.AND. PCRS(IIB:IIE,IJB:IJE,IKB:IKE)>ZCTMIN(3)
IF( OSEDC ) THEN
GSEDIM(IIB:IIE,IJB:IJE,IKB:IKE) = GSEDIM(IIB:IIE,IJB:IJE,IKB:IKE) .OR. &
(PRCS(IIB:IIE,IJB:IJE,IKB:IKE)>ZRTMIN(2) &
.AND. PCCS(IIB:IIE,IJB:IJE,IKB:IKE)>ZCTMIN(2) )
END IF
!
ISEDIM = COUNTJV( GSEDIM(:,:,:),I1(:),I2(:),I3(:))
IF( ISEDIM >= 1 ) THEN
!
IF( JN==1 ) THEN
IF( OSEDC ) THEN
PRCS(:,:,:) = PRCS(:,:,:) * PTSTEP
PCCS(:,:,:) = PCCS(:,:,:) * PTSTEP
END IF
PRRS(:,:,:) = PRRS(:,:,:) * PTSTEP
PCRS(:,:,:) = PCRS(:,:,:) * PTSTEP
DO JK = IKB , IKE
ZW(:,:,JK)=ZTSPLITR/(PZZ(:,:,JK+1)-PZZ(:,:,JK))
END DO
END IF
!
ALLOCATE(ZRHODREF(ISEDIM))
DO JL = 1,ISEDIM
ZRHODREF(JL) = PRHODREF(I1(JL),I2(JL),I3(JL))
END DO
!
ALLOCATE(ZZW1(ISEDIM))
ALLOCATE(ZZW2(ISEDIM))
ALLOCATE(ZZW3(ISEDIM))
!
!
!-------------------------------------------------------------------------------
!
!
! 2. Cloud droplets sedimentation
! -------------------------------
!
!
IF( OSEDC .AND. MAXVAL(PRCS(:,:,:))>ZRTMIN(2) ) THEN
ZZW1(:) = 0.0
ZZW2(:) = 0.0
ZZW3(:) = 0.0
ALLOCATE(ZRCS(ISEDIM))
ALLOCATE(ZCCS(ISEDIM))
ALLOCATE(ZRCT(ISEDIM))
ALLOCATE(ZCCT(ISEDIM))
ALLOCATE(ZTCC(ISEDIM))
ALLOCATE(ZLBDC(ISEDIM))
DO JL = 1,ISEDIM
ZRCS(JL) = PRCS(I1(JL),I2(JL),I3(JL))
ZCCS(JL) = PCCS(I1(JL),I2(JL),I3(JL))
ZRCT(JL) = PRCT(I1(JL),I2(JL),I3(JL))
ZCCT(JL) = PCCT(I1(JL),I2(JL),I3(JL))
ZTCC(JL) = ZCC (I1(JL),I2(JL),I3(JL))
END DO
ZLBDC(:) = 1.E15
WHERE (ZRCS(:)>XRTMIN(2) .AND. ZCCS(:)>XCTMIN(2))
ZLBDC(:) = ( XLBC*ZCCS(:) / ZRCS(:) )**XLBEXC
ZZW3(:) = ZRHODREF(:)**(-XCEXVT) * ZLBDC(:)**(-XDC)
ZZW1(:) = ZTCC(:) * XFSEDRC * ZRCS(:) * ZZW3(:) * ZRHODREF(:)
ZZW2(:) = ZTCC(:) * XFSEDCC * ZCCS(:) * ZZW3(:) * ZRHODREF(:)
END WHERE
ZWSEDR(:,:,:) = UNPACK( ZZW1(:),MASK=GSEDIM(:,:,:),FIELD=0.0 )
ZWSEDR(:,:,IKB:IKE) = MIN( ZWSEDR(:,:,IKB:IKE), PRCS(:,:,IKB:IKE) * PRHODREF(:,:,IKB:IKE) / ZW(:,:,IKB:IKE) )
ZWSEDC(:,:,:) = UNPACK( ZZW2(:),MASK=GSEDIM(:,:,:),FIELD=0.0 )
ZWSEDC(:,:,IKB:IKE) = MIN( ZWSEDC(:,:,IKB:IKE), PCCS(:,:,IKB:IKE) * PRHODREF(:,:,IKB:IKE) / ZW(:,:,IKB:IKE) )
DO JK = IKB , IKE
PRCS(:,:,JK) = PRCS(:,:,JK) + ZW(:,:,JK)* &
(ZWSEDR(:,:,JK+1)-ZWSEDR(:,:,JK))/PRHODREF(:,:,JK)
PCCS(:,:,JK) = PCCS(:,:,JK) + ZW(:,:,JK)* &
(ZWSEDC(:,:,JK+1)-ZWSEDC(:,:,JK))/PRHODREF(:,:,JK)
END DO
DEALLOCATE(ZRCS)
DEALLOCATE(ZCCS)
DEALLOCATE(ZRCT)
DEALLOCATE(ZCCT)
DEALLOCATE(ZTCC)
DEALLOCATE(ZLBDC)
!
PINPRC(:,:) = PINPRC(:,:) + ZWSEDR(:,:,IKB)/XRHOLW/KSPLITR ! in m/s
ELSE
ZWSEDR(:,:,IKB) = 0.0
END IF ! OSEDC
!
!
!-------------------------------------------------------------------------------
!
!
! 2. Rain drops sedimentation
! ---------------------------
!
!
IF( MAXVAL(PRRS(:,:,:))>ZRTMIN(3) ) THEN
ZZW1(:) = 0.0
ZZW2(:) = 0.0
ZZW3(:) = 0.0
ALLOCATE(ZRRS(ISEDIM))
ALLOCATE(ZCRS(ISEDIM))
ALLOCATE(ZRRT(ISEDIM))
ALLOCATE(ZCRT(ISEDIM))
ALLOCATE(ZLBDR(ISEDIM))
DO JL = 1,ISEDIM
ZRRS(JL) = PRRS(I1(JL),I2(JL),I3(JL))
ZCRS(JL) = PCRS(I1(JL),I2(JL),I3(JL))
ZRRT(JL) = PRRT(I1(JL),I2(JL),I3(JL))
ZCRT(JL) = PCRT(I1(JL),I2(JL),I3(JL))
END DO
ZLBDR(:) = 1.E10
WHERE (ZRRS(:)>XRTMIN(3) .AND. ZCRS(:)>XCTMIN(3))
ZLBDR(:) = ( XLBR*ZCRS(:) / ZRRS(:) )**XLBEXR
ZZW3(:) = ZRHODREF(:)**(-XCEXVT) * (ZLBDR(:)**(-XDR))
ZZW1(:) = XFSEDRR * ZRRS(:) * ZZW3(:) * ZRHODREF(:)
ZZW2(:) = XFSEDCR * ZCRS(:) * ZZW3(:) * ZRHODREF(:)
END WHERE
ZWSEDR(:,:,:) = UNPACK( ZZW1(:),MASK=GSEDIM(:,:,:),FIELD=0.0 )
ZWSEDR(:,:,IKB:IKE) = MIN( ZWSEDR(:,:,IKB:IKE), PRRS(:,:,IKB:IKE) * PRHODREF(:,:,IKB:IKE) / ZW(:,:,IKB:IKE) )
ZWSEDC(:,:,:) = UNPACK( ZZW2(:),MASK=GSEDIM(:,:,:),FIELD=0.0 )
ZWSEDC(:,:,IKB:IKE) = MIN( ZWSEDC(:,:,IKB:IKE), PCRS(:,:,IKB:IKE) * PRHODREF(:,:,IKB:IKE) / ZW(:,:,IKB:IKE) )
DO JK = IKB , IKE
PRRS(:,:,JK) = PRRS(:,:,JK) + ZW(:,:,JK)* &
(ZWSEDR(:,:,JK+1)-ZWSEDR(:,:,JK))/PRHODREF(:,:,JK)
PCRS(:,:,JK) = PCRS(:,:,JK) + ZW(:,:,JK)* &
(ZWSEDC(:,:,JK+1)-ZWSEDC(:,:,JK))/PRHODREF(:,:,JK)
END DO
DEALLOCATE(ZRRS)
DEALLOCATE(ZCRS)
DEALLOCATE(ZRRT)
DEALLOCATE(ZCRT)
DEALLOCATE(ZLBDR)
ELSE
ZWSEDR(:,:,IKB) = 0.0
END IF ! max PRRS > ZRTMIN(3)
!
PINPRR(:,:) = PINPRR(:,:) + ZWSEDR(:,:,IKB)/XRHOLW/KSPLITR ! in m/s
PINPRR3D(:,:,:) = PINPRR3D(:,:,:) + ZWSEDR(:,:,:)/XRHOLW/KSPLITR ! in m/s
!
DEALLOCATE(ZRHODREF)
DEALLOCATE(ZZW1)
DEALLOCATE(ZZW2)
DEALLOCATE(ZZW3)
IF( JN==KSPLITR ) THEN
IF( OSEDC ) THEN
PRCS(:,:,:) = PRCS(:,:,:) / PTSTEP
PCCS(:,:,:) = PCCS(:,:,:) / PTSTEP
END IF
PRRS(:,:,:) = PRRS(:,:,:) / PTSTEP
PCRS(:,:,:) = PCRS(:,:,:) / PTSTEP
END IF
END IF ! ISEDIM
END DO ! KSPLITR
!
!++cb++
DEALLOCATE(ZRTMIN)
DEALLOCATE(ZCTMIN)
!--cb--
!
!-------------------------------------------------------------------------------
!
END SUBROUTINE LIMA_WARM_SEDIMENTATION