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!MNH_LIC Copyright 1994-2020 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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!-----------------------------------------------------------------
! #####################
MODULE MODI_CALCSOUND
! #####################
INTERFACE
SUBROUTINE CALCSOUND(PPRESS,PTEMPE,PRV, &
PCAPEP,PCINP,PDCAPE,PCAPEPMAX,PCINPMAX )
!
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PPRESS ! Pressure in hPa
REAL, DIMENSION(:,:,:), INTENT(IN) :: PTEMPE ! Temperature in Celcius
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRV ! vapour mixing ratio in g/kg
REAL, DIMENSION(:,:,:), INTENT(OUT) ::PCAPEP
REAL, DIMENSION(:,:,:), INTENT(OUT) ::PCINP
REAL, DIMENSION(:,:,:), INTENT(OUT) ::PDCAPE
REAL, DIMENSION(:,:), INTENT(OUT) ::PCAPEPMAX
REAL, DIMENSION(:,:), INTENT(OUT) ::PCINPMAX
!
END SUBROUTINE CALCSOUND
END INTERFACE
END MODULE MODI_CALCSOUND
! #############################################################
SUBROUTINE CALCSOUND(PPRESS,PTEMPE,PRV, &
PCAPEP,PCINP,PDCAPE,PCAPEPMAX,PCINPMAX )
!! PZVKE,PZFCL,PZFCLMAX,PZVKEMAX,PALTMAX)
! #############################################################
!
!!****
!!
!! PURPOSE
!! -------
! The purpose of this routine is to calculate various properties of
! samples of air raised or lowered to different levels.
!!
!!** METHOD
!! ------
!! The horizontal dimensions of model arrays are split in arrays of
!! 1000 columns. If there is at least 1000 elements, computation is
!! made in a static way, otherwise in a dynamical way.
!!
!! EXTERNAL
!! --------
!!
!! IMPLICIT ARGUMENTS
!! ------------------
!!
!! REFERENCE
!! ---------
!!
!! AUTHOR
!! ------
!! C. Lac, V. Ducrocq *Meteo France*
!!
!! MODIFICATIONS
!! -------------
!! Original from K. Emanuel
!! J. Stein Jan. 2001 optimisation by splitting arrays in 1000 columns
!! C.Lac May 2015 correction in downdraft loop
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!!
!-------------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
!
IMPLICIT NONE
!
!* 0.1 Declarations of arguments
!
REAL, DIMENSION(:,:,:), INTENT(IN) :: PPRESS ! Pressure in hPa
REAL, DIMENSION(:,:,:), INTENT(IN) :: PTEMPE ! Temperature in Celcius
REAL, DIMENSION(:,:,:), INTENT(IN) :: PRV ! Vapor mixing ratio in g/kg
REAL, DIMENSION(:,:,:), INTENT(OUT) ::PCAPEP
REAL, DIMENSION(:,:,:), INTENT(OUT) ::PCINP
REAL, DIMENSION(:,:,:), INTENT(OUT) ::PDCAPE
REAL, DIMENSION(:,:), INTENT(OUT) ::PCAPEPMAX
REAL, DIMENSION(:,:), INTENT(OUT) ::PCINPMAX
!
INTEGER, PARAMETER :: NPARAM=1000
!
!* 0.2 Declarations of local variables
!
REAL, DIMENSION(SIZE(PPRESS,1)*SIZE(PPRESS,2),SIZE(PPRESS,3)) :: ZPRESS2D, &
ZTEMPE2D,ZRV2D,ZCAPEP2D,ZCINP2D,ZDCAPE2D
REAL, DIMENSION(SIZE(PPRESS,1)*SIZE(PPRESS,2)) :: ZCAPEMAX2D,ZCINMAX2D
REAL, ALLOCATABLE, DIMENSION(:,:) :: ZP,ZT,ZR,ZCAPEP,ZCINP,ZDCAPE
REAL, ALLOCATABLE, DIMENSION(:) :: ZCAPEMAX,ZCINMAX
INTEGER :: IIU,IJU,IKU, IDIM,JLOOP
!
!-------------------------------------------------------------------------------
!
!* 1. INITIALIZATIONS
! ---------------
!
!
IIU=SIZE(PPRESS,1)
IJU=SIZE(PPRESS,2)
IKU=SIZE(PPRESS,3)
!
CALL TRANSF_3D_2D(PPRESS,ZPRESS2D)
CALL TRANSF_3D_2D(PTEMPE,ZTEMPE2D)
CALL TRANSF_3D_2D(PRV,ZRV2D)
!
!-------------------------------------------------------------------------------
!
!* 2. COMPUTATION
! -----------
!
! loops of NPARAM points
!
DO JLOOP=1,1000000
IF (NPARAM*JLOOP< IIU*IJU) THEN
!
IF (.NOT. ALLOCATED(ZP)) THEN
ALLOCATE(ZP(NPARAM,IKU))
ALLOCATE(ZT(NPARAM,IKU))
ALLOCATE(ZR(NPARAM,IKU))
ALLOCATE(ZCAPEP(NPARAM,IKU))
ALLOCATE(ZCINP(NPARAM,IKU))
ALLOCATE(ZDCAPE(NPARAM,IKU))
ALLOCATE(ZCAPEMAX(NPARAM))
ALLOCATE(ZCINMAX(NPARAM))
ENDIF
!
ZP(1:NPARAM,:)=ZPRESS2D((JLOOP-1)*NPARAM +1:JLOOP*NPARAM,:)
ZT(1:NPARAM,:)=ZTEMPE2D((JLOOP-1)*NPARAM +1:JLOOP*NPARAM,:)
ZR(1:NPARAM,:)=ZRV2D((JLOOP-1)*NPARAM +1:JLOOP*NPARAM,:)
!
CALL CALC(NPARAM,IKU,ZP,ZT,ZR,ZCAPEP,ZCINP,ZDCAPE,ZCAPEMAX,ZCINMAX)
!
ZCAPEP2D((JLOOP-1)*NPARAM +1:JLOOP*NPARAM,:) = ZCAPEP(1:NPARAM,:)
ZCINP2D ((JLOOP-1)*NPARAM +1:JLOOP*NPARAM,:) = ZCINP(1:NPARAM,:)
ZDCAPE2D((JLOOP-1)*NPARAM +1:JLOOP*NPARAM,:) = ZDCAPE(1:NPARAM,:)
ZCAPEMAX2D((JLOOP-1)*NPARAM +1:JLOOP*NPARAM) = ZCAPEMAX(1:NPARAM)
ZCINMAX2D ((JLOOP-1)*NPARAM +1:JLOOP*NPARAM) = ZCINMAX(1:NPARAM)
!
ELSE
IF (ALLOCATED(ZP)) THEN
DEALLOCATE(ZP)
DEALLOCATE(ZT)
DEALLOCATE(ZR)
DEALLOCATE(ZCAPEP)
DEALLOCATE(ZCINP)
DEALLOCATE(ZDCAPE)
DEALLOCATE(ZCAPEMAX)
DEALLOCATE(ZCINMAX)
ENDIF
!
IDIM=IIU*IJU-NPARAM*(JLOOP-1)
ALLOCATE(ZP(1:IDIM,IKU))
ALLOCATE(ZT(1:IDIM,IKU))
ALLOCATE(ZR(1:IDIM,IKU))
ALLOCATE(ZCAPEP(1:IDIM,IKU))
ALLOCATE(ZCINP(1:IDIM,IKU))
ALLOCATE(ZDCAPE(1:IDIM,IKU))
ALLOCATE(ZCAPEMAX(1:IDIM))
ALLOCATE(ZCINMAX(1:IDIM))
!
ZP(1:IDIM,:)=ZPRESS2D(NPARAM*(JLOOP-1)+1:IIU*IJU,:)
ZT(1:IDIM,:)=ZTEMPE2D(NPARAM*(JLOOP-1)+1:IIU*IJU,:)
ZR(1:IDIM,:)=ZRV2D(NPARAM*(JLOOP-1)+1:IIU*IJU,:)
!
CALL CALC(IDIM,IKU,ZP,ZT,ZR,ZCAPEP,ZCINP,ZDCAPE,ZCAPEMAX,ZCINMAX)
!
ZCAPEP2D(NPARAM*(JLOOP-1)+1:IIU*IJU,:) = ZCAPEP(1:IDIM,:)
ZCINP2D (NPARAM*(JLOOP-1)+1:IIU*IJU,:) = ZCINP(1:IDIM,:)
ZDCAPE2D(NPARAM*(JLOOP-1)+1:IIU*IJU,:) = ZDCAPE(1:IDIM,:)
ZCAPEMAX2D(NPARAM*(JLOOP-1)+1:IIU*IJU) = ZCAPEMAX(1:IDIM)
ZCINMAX2D (NPARAM*(JLOOP-1)+1:IIU*IJU) = ZCINMAX(1:IDIM)
!
DEALLOCATE(ZP)
DEALLOCATE(ZT)
DEALLOCATE(ZR)
DEALLOCATE(ZCAPEP)
DEALLOCATE(ZCINP)
DEALLOCATE(ZDCAPE)
DEALLOCATE(ZCAPEMAX)
DEALLOCATE(ZCINMAX)
!
EXIT
!
ENDIF
ENDDO
!
! back to 3D and 2D arrays
!
CALL TRANSF_2D_3D(ZCAPEP2D,PCAPEP)
CALL TRANSF_2D_3D(ZCINP2D,PCINP)
CALL TRANSF_2D_3D(ZDCAPE2D,PDCAPE)
CALL TRANSF_1D_2D(ZCAPEMAX2D,PCAPEPMAX)
CALL TRANSF_1D_2D(ZCINMAX2D,PCINPMAX)
!
!-------------------------------------------------------------------------------
!-------------------------------------------------------------------------------
!
CONTAINS
!
!-------------------------------------------------------------------------------
!
SUBROUTINE TRANSF_3D_2D(PTAB3D,PTAB2D)
REAL, DIMENSION (:,:) :: PTAB2D
REAL, DIMENSION (:,:,:) :: PTAB3D
!
INTEGER :: JIJ,JI,JJ,JK
!
DO JK=1,SIZE(PTAB3D,3)
JIJ = 0
DO JJ=1,SIZE(PTAB3D,2)
DO JI=1,SIZE(PTAB3D,1)
JIJ = JIJ + 1
PTAB2D(JIJ,JK) = PTAB3D(JI,JJ,JK)
ENDDO
ENDDO
ENDDO
!
END SUBROUTINE TRANSF_3D_2D
!
!-------------------------------------------------------------------------------
!
SUBROUTINE TRANSF_2D_3D(PTAB2D,PTAB3D)
REAL, DIMENSION (:,:) :: PTAB2D
REAL, DIMENSION (:,:,:) :: PTAB3D
!
INTEGER :: JIJ,JI,JJ,JK
!
DO JK=1,SIZE(PTAB3D,3)
JIJ = 0
DO JJ=1,SIZE(PTAB3D,2)
DO JI=1,SIZE(PTAB3D,1)
JIJ = JIJ + 1
PTAB3D(JI,JJ,JK) = PTAB2D(JIJ,JK)
ENDDO
ENDDO
ENDDO
!
END SUBROUTINE TRANSF_2D_3D
!
!-------------------------------------------------------------------------------
!
SUBROUTINE TRANSF_1D_2D(PTAB1D,PTAB2D)
REAL, DIMENSION (:) :: PTAB1D
REAL, DIMENSION (:,:) :: PTAB2D
!
INTEGER :: JIJ, JI, JJ
!
JIJ = 0
DO JJ=1,SIZE(PTAB2D,2)
DO JI=1,SIZE(PTAB2D,1)
JIJ = JIJ + 1
PTAB2D(JI,JJ) = PTAB1D(JIJ)
ENDDO
ENDDO
!
END SUBROUTINE TRANSF_1D_2D
!
!-------------------------------------------------------------------------------
!
! ###########################################################
SUBROUTINE CALC(KIU,KKU,PP,PT,PR, &
PCAPEP,PCINP,PDCAPE,PCAPEPMAX,PCINPMAX)
! ###########################################################
!
!
!* 0. DECLARATIONS
! ------------
!
USE MODD_CST
IMPLICIT NONE
!
!* 0.1 Declarations of arguments
!
INTEGER, INTENT(IN) :: KIU,KKU
REAL, DIMENSION(KIU,KKU), INTENT(IN) :: PP ! Pressure in hPa
REAL, DIMENSION(KIU,KKU), INTENT(INOUT) :: PT ! Temperature in Celcius
REAL, DIMENSION(KIU,KKU), INTENT(INOUT) :: PR ! vapor mixing ratio in g/kg
REAL, DIMENSION(KIU,KKU), INTENT(OUT) :: PCAPEP
REAL, DIMENSION(KIU,KKU), INTENT(OUT) :: PCINP
REAL, DIMENSION(KIU,KKU), INTENT(OUT) :: PDCAPE
REAL, DIMENSION(KIU), INTENT(OUT) :: PCAPEPMAX
REAL, DIMENSION(KIU), INTENT(OUT) :: PCINPMAX
!
INTEGER, PARAMETER :: NBITER=4
!
!* 0.2 Declarations of local variables
!
REAL, DIMENSION(KIU,KKU) :: ZEV, ZES ! vapor pressure and saturation vapor pressure
REAL, DIMENSION(KIU,KKU,KKU) :: ZTVPDIF, ZTLP, ZTLVP
REAL, DIMENSION(KIU,KKU) :: ZTVD
REAL, DIMENSION(KIU,KKU) :: ZPAP
!
REAL :: ZCPVMCL ! CPV - CL
REAL :: ZEPS ! Rd/Rv
REAL, DIMENSION(KIU) :: ZRS ! saturation vapor mixing ratio
REAL, DIMENSION(KIU) :: ZALV ! Latent heat
REAL, DIMENSION(KIU) :: ZSP ! total entropy conserved under psueudo-adiabatic transformations
REAL, DIMENSION(KIU) :: ZAH ! enthalpie
REAL, DIMENSION(KIU) :: ZEM,ZSLOPE,ZTG,ZRG,ZALV1,ZAHG,ZTC,ZENEW
REAL, DIMENSION(KIU) :: ZEG,ZSPD,ZRGD0,ZTGD0,ZPM,ZTVM,ZSPG,ZTVDIFM
REAL, DIMENSION(KIU) :: ZRH ! relative humidity
REAL, DIMENSION(KIU) :: ZPLCL ! pressure of condensation level
REAL, DIMENSION(KIU) :: ZCHI,ZSUM,ZRG0,ZTG0,ZSLP,ZCPW,ZSUM2
INTEGER :: JKLOOP,J,K,JH
INTEGER, DIMENSION(KIU) :: ICB,INBP, IMAX
!
!-------------------------------------------------------------------------------
!
!* 1. INITIALIZATIONS
! ---------------
!
!* 1.1 Assign values of thermodynamic constants
!
ZCPVMCL=2320.0
ZEPS=XRD/XRV
!
PR =PR*0.001
ZEV=PR*PP/(ZEPS+PR)
ZES=6.112*EXP(17.67*PT/(243.5+PT)) ! Eq (4.4.14)
PT =PT+XTT ! PT is now in Kelvin
!
!-------------------------------------------------------------------------------
!
!* 2. COMPUTATION OF PROPERTIES OF SAMPLES OF AIR
! -------------------------------------------
!
! Begin outer loop, which cycles through parcel origin levels I
!
DO JKLOOP=1,KKU ! loop 2 on vertical levels
! Calculation limited to air parcels origin below 100 hPa
IF (MINVAL(PP(:,JKLOOP))<100.) EXIT
!
!* 2.1 Various conserved parcel quantities
!
ZRS(:)=ZEPS*ZES(:,JKLOOP)/(PP(:,JKLOOP)-ZES(:,JKLOOP))
ZALV(:)=XLVTT-ZCPVMCL*(PT(:,JKLOOP)-XTT) ! Eq (4.4.4)
WHERE(ZEV(:,JKLOOP)<1.0E-6)
ZEM(:)=1.E-6
ELSEWHERE
ZEM(:)=ZEV(:,JKLOOP)
ENDWHERE
! pseudo-adiabatic entropy
ZSP(:)=XCPD*LOG(PT(:,JKLOOP)) &
- XRD*LOG(PP(:,JKLOOP)-ZEV(:,JKLOOP)) &
+ ZALV*PR(:,JKLOOP)/PT(:,JKLOOP)-PR(:,JKLOOP)*XRV*LOG(ZEM(:)/ZES(:,JKLOOP))
! enthalpy
ZAH(:)=(XCPD+PR(:,JKLOOP)*XCL)*PT(:,JKLOOP)+ZALV*PR(:,JKLOOP) ! Eq (4.5.23)
!
!* 2.2 Temperature and mixing ratio of the parcel at
! level JKLOOP saturated by a wet bulb process
!
ZSLOPE(:)=XCPD+ZALV(:)*ZALV(:)*ZRS(:)/(XRV*PT(:,JKLOOP)*PT(:,JKLOOP))
ZTG(:)=PT(:,JKLOOP)
ZRG(:)=ZRS(:)
DO J=1,NBITER
ZALV1(:)=XLVTT-ZCPVMCL*(ZTG(:)-XTT)
ZAHG(:)=(XCPD+XCL*ZRG(:))*ZTG(:)+ZALV1(:)*ZRG(:)
ZTG(:)=ZTG(:)+(ZAH(:)-ZAHG(:))/ZSLOPE(:)
ZTC(:)=ZTG(:)-XTT
ZENEW(:)=6.112*EXP(17.67*ZTC(:)/(243.5+ZTC(:)))
ZRG(:)=ZEPS*ZENEW(:)/(PP(:,JKLOOP)-ZENEW(:))
ENDDO
!
!* 2.3 Calculate conserved variable at top of downdraft
!
ZEG(:)=ZRG(:)*PP(:,JKLOOP)/(ZEPS+ZRG(:))
ZSPD(:)=XCPD*LOG(ZTG(:))-XRD*LOG(PP(:,JKLOOP)-ZEG(:))+ ZALV1(:)*ZRG(:)/ZTG(:)
ZTVD(:,JKLOOP)=ZTG(:)*(1.+ZRG(:)/ZEPS)/(1.+ZRG(:)) &
-PT(:,JKLOOP)*(1.+PR(:,JKLOOP)/ZEPS)/ (1.+PR(:,JKLOOP))
WHERE(PP(:,JKLOOP).LT.100.0)
ZTVD(:,JKLOOP)=0.0
ENDWHERE
ZRGD0(:)=ZRG(:)
ZTGD0(:)=ZTG(:)
!
!* 2.4 Find lifted condensation pressure
!
ZRH(:)=PR(:,JKLOOP)/ZRS(:)
WHERE(ZRH(:)>1.)
ZRH(:)=1.0
ENDWHERE
ZCHI(:)=PT(:,JKLOOP)/(1669.0-122.0*ZRH(:)-PT(:,JKLOOP))
ZPLCL(:)=1.0
WHERE(ZRH(:).GT.0.0)
ZPLCL=PP(:,JKLOOP)*(ZRH**ZCHI)
ENDWHERE
!
!* 2.5 Begin updraft loop
!
ZSUM(:)=0.0
ZRG0(:)=PR(:,JKLOOP)
ZTG0(:)=PT(:,JKLOOP)
DO J=JKLOOP,KKU ! inner loop of the ascent for parcel JKLOOP
!
! estimates of the rates of change of the entropies
! with temperature at constant pressure
!
ZRS(:)=ZEPS*ZES(:,J)/(PP(:,J)-ZES(:,J))
ZALV=XLVTT-ZCPVMCL*(PT(:,J)-XTT)
ZSLP=(XCPD+ZRS*XCL+ZALV*ZALV*ZRS/(XRV*PT(:,J)*PT(:,J)))/PT(:,J)
!
! lifted parcel temperature below its LCL
DO JH=1,KIU
!
IF(PP(JH,J).GE.ZPLCL(JH)) THEN
ZTLP(JH,JKLOOP,J)=PT(JH,JKLOOP)*(PP(JH,J)/PP(JH,JKLOOP))**(XRD/XCPD) ! dry adiabat
ZTLVP(JH,JKLOOP,J)=ZTLP(JH,JKLOOP,J)*(1.+PR(JH,JKLOOP)/ZEPS)/(1.+PR(JH,JKLOOP))
! vapor mixing of parcel JKLOOP
ZTVPDIF(JH,JKLOOP,J)=ZTLVP(JH,JKLOOP,J)-PT(JH,J)*(1.+PR(JH,J)/ZEPS)/(1.+PR(JH,J)) ! Tvp -Tva
ELSE
!
! iteratively calculate lifted parcel temperature and mixing ratios
! for both reversible and pseudo-adiabatic ascent:
! do pseudo-adiabatic ascent
ZTG(JH)=PT(JH,J)
ZRG(JH)=ZRS(JH)
DO K=1,NBITER
ZCPW(JH)=0.0
IF(J.GT.1)THEN
ZCPW(JH)=ZSUM(JH)+XCL*0.5*(ZRG0(JH)+ZRG(JH))*(LOG(ZTG(JH))-LOG(ZTG0(JH)))
END IF
ZEM(JH)=ZRG(JH)*PP(JH,J)/(ZEPS+ZRG(JH))
ZALV(JH)=XLVTT-ZCPVMCL*(ZTG(JH)-XTT)
ZSPG(JH)=XCPD*LOG(ZTG(JH))-XRD*LOG(PP(JH,J)-ZEM(JH))+ZCPW(JH)+ZALV(JH)*ZRG(JH)/ZTG(JH)
ZTG(JH)=ZTG(JH)+(ZSP(JH)-ZSPG(JH))/ZSLP(JH)
ZTC(JH)=ZTG(JH)-XTT
ZENEW(JH)=6.112*EXP(17.67*ZTC(JH)/(243.5+ZTC(JH)))
ZRG(JH)=ZEPS*ZENEW(JH)/(PP(JH,J)-ZENEW(JH))
END DO
ZTLVP(JH,JKLOOP,J)=ZTG(JH)*(1.+ZRG(JH)/ZEPS)/(1.+ZRG(JH))
ZTVPDIF(JH,JKLOOP,J)=ZTLVP(JH,JKLOOP,J)-PT(JH,J)*(1.+PR(JH,J)/ZEPS)/(1.+PR(JH,J))
ZRG0(JH)=ZRG(JH)
ZTG0(JH)=ZTG(JH)
ZSUM(JH)=ZCPW(JH)
END IF
END DO ! end of the loop for the horiz. index
END DO ! end of inner loop of the ascent for parcel JKLOOP
IF(JKLOOP.EQ.1) CYCLE
!
!* 2.5 Begin downdraft loop
!
ZSUM2=0.0
DO J=JKLOOP-1,1,-1 ! loop 3 from top to bottom
!
! estimate of the rate of change of entropy
! with temperature at constant pressure
!
ZRS=ZEPS*ZES(:,J)/(PP(:,J)-ZES(:,J))
ZALV=XLVTT-ZCPVMCL*(PT(:,J)-XTT)
ZSLP=(XCPD+ZRS*XCL+ZALV*ZALV*ZRS/(XRV*PT(:,J)*PT(:,J)))/PT(:,J)
ZTG=PT(:,J)
ZRG=ZRS
!
! downdraft temperature
!
DO K=1,NBITER
DO JH=1,KIU
ZEM(JH)=ZRG(JH)*PP(JH,J)/(ZEPS+ZRG(JH))
IF (PP(JH,J) >= ZEM(JH)) THEN
ZCPW(JH)=ZSUM2(JH)+XCL*0.5*(ZRGD0(JH)+ZRG(JH))*(LOG(ZTG(JH))-LOG(ZTGD0(JH)))
ZALV(JH)=XLVTT-ZCPVMCL*(ZTG(JH)-XTT)
ZSPG(JH)=XCPD*LOG(ZTG(JH))-XRD*LOG(PP(JH,J)-ZEM(JH))+ZCPW(JH)+ZALV(JH)*ZRG(JH)/ZTG(JH)
ZTG(JH)=ZTG(JH)+(ZSPD(JH)-ZSPG(JH))/ZSLP(JH)
ZTC(JH)=ZTG(JH)-XTT
ZENEW(JH)=6.112*EXP(17.67*ZTC(JH)/(243.5+ZTC(JH)))
ZRG(JH)=ZEPS*ZENEW(JH)/(PP(JH,J)-ZENEW(JH))
END IF
END DO
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END DO
ZSUM2=ZCPW
ZTGD0=ZTG
ZRGD0=ZRG
ZTLVP(:,JKLOOP,J)=ZTG*(1.+ZRG/ZEPS)/(1.+ZRG)
ZTVPDIF(:,JKLOOP,J)=ZTLVP(:,JKLOOP,J)-PT(:,J)*(1.+PR(:,J)/ZEPS)/(1.+PR(:,J))
WHERE(PP(:,JKLOOP).LT.100.0)
ZTVPDIF(:,JKLOOP,J)=0.0
ENDWHERE
WHERE(ZTVPDIF(:,JKLOOP,J)>0)
ZTVPDIF(:,JKLOOP,J)=0.0
ENDWHERE
END DO ! loop 3 from top to bottom
END DO ! end loop 2 on vertical levels
!
!-------------------------------------------------------------------------------
!
!* 3. COMPUTATION OF DCAPE, PA, NA (from pseudo-adiabatic ascent), CAPE
! ----------------------------------------------------------------
!
!
PCAPEP(:,:)=0.0
PDCAPE(:,:)=0.0
ZPAP(:,:)=0.0
PCINP(:,:)=0.0
DO JKLOOP=1,KKU ! loop 4
! Calculation limited to air parcels origin below 100 hPa
IF (MINVAL(PP(:,JKLOOP))<100.) EXIT
!
!* 3.1 lifted condensation pressure
!
ZRS=ZEPS*ZES(:,JKLOOP)/(PP(:,JKLOOP)-ZES(:,JKLOOP)) !saturation vapor mixing ratio
ZRH=PR(:,JKLOOP)/ZRS ! relative humidity
WHERE(ZRH>1)
ZRH=1.
ENDWHERE
ZCHI=PT(:,JKLOOP)/(1669.0-122.0*ZRH-PT(:,JKLOOP))
ZPLCL=1.0
WHERE(ZRH.GT.0.0)
ZPLCL=PP(:,JKLOOP)*(ZRH**ZCHI)
ENDWHERE
!
!* 3.2 lifted condensation level and maximum level of positive buoyancy
!
ICB=KKU ! condensation level
INBP=1 ! level of neutral buoyancy for pseudo-adiabatic ascent
DO J=KKU,JKLOOP,-1
DO JH=1,KIU
IF(PP(JH,J).LT.ZPLCL(JH)) ICB(JH)=MIN(ICB(JH),J)
IF(ZTVPDIF(JH,JKLOOP,J).GT.0.0) INBP(JH)=MAX(INBP(JH),J)
END DO
END DO
DO JH=1,KIU
IMAX(JH)=MAX(INBP(JH),JKLOOP)
END DO
DO JH=1,KIU
ZTVPDIF(JH,JKLOOP,IMAX(JH))=0.0
END DO
!
!* 3.3 updraft loops
!
DO JH=1,KIU
IF(INBP(JH).GT.JKLOOP)THEN
DO J=JKLOOP+1,INBP(JH)
ZTVM(JH)=0.5*(ZTVPDIF(JH,JKLOOP,J)+ZTVPDIF(JH,JKLOOP,J-1))
ZPM(JH)=0.5*(PP(JH,J)+PP(JH,J-1))
IF(ZTVM(JH).LE.0.0)THEN
PCINP(JH,JKLOOP)=PCINP(JH,JKLOOP)-XRD*ZTVM(JH)*(PP(JH,J-1)-PP(JH,J))/ZPM(JH)
ELSE
ZPAP(JH,JKLOOP)=ZPAP(JH,JKLOOP)+XRD*ZTVM(JH)*(PP(JH,J-1)-PP(JH,J))/ZPM(JH)
END IF
END DO
PCAPEP(JH,JKLOOP)=ZPAP(JH,JKLOOP)-PCINP(JH,JKLOOP)
END IF
ENDDO ! loop on the horiz. index
!
!* 3.4 find DCAPE
!
IF(JKLOOP.EQ.1) CYCLE
DO J=JKLOOP-1,1,-1
ZTVDIFM=ZTVPDIF(:,JKLOOP,J+1)
IF(JKLOOP.EQ.(J+1)) ZTVDIFM=ZTVD(:,JKLOOP)
ZTVM=0.5*(ZTVPDIF(:,JKLOOP,J)+ZTVDIFM)
ZPM=0.5*(PP(:,J)+PP(:,J+1))
WHERE(ZTVM.LT.0.0)
PDCAPE(:,JKLOOP)=PDCAPE(:,JKLOOP)-XRD*ZTVM*(PP(:,J)-PP(:,J+1))/ZPM
ENDWHERE
END DO
!
END DO ! end loop 4
!
!* 3.5 find CAPEMAX, CINMAX
!
PCAPEPMAX = 0.0
PCINPMAX = 0.0
!
DO JKLOOP=1,KKU
WHERE (PCAPEP(:,JKLOOP) > PCAPEPMAX(:) )
PCAPEPMAX= PCAPEP(:,JKLOOP)
PCINPMAX = PCINP(:,JKLOOP)
ENDWHERE
END DO
!
END SUBROUTINE CALC
!-------------------------------------------------------------------------------
!
!
END SUBROUTINE CALCSOUND