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mode_ini_lima_cold_mixed.f90 77.7 KiB
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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
!MNH_LIC version 1. See LICENSE, CeCILL-C_V1-en.txt and CeCILL-C_V1-fr.txt
!MNH_LIC for details. version 1.
!-----------------------------------------------------------------
!      ###############################
       MODULE MODE_INI_LIMA_COLD_MIXED
!      ###############################
!
!
!     ###############################################
      SUBROUTINE INI_LIMA_COLD_MIXED (PTSTEP, PDZMIN)
!     ###############################################
!
!!    PURPOSE
!!    -------
!!      The purpose of this routine is to initialize the constants used in the 
!!    microphysical scheme LIMA for the cold and mixed phase variables
!!    and processes. 
!!
!!    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 
!!  Philippe Wautelet: 05/2016-04/2018: new data structures and calls for I/O
!  P. Wautelet 10/04/2019: replace ABORT and STOP calls by Print_msg
!  P. Wautelet 26/04/2019: replace non-standard FLOAT function by REAL function
!  C. Barthe   14/03/2022: add CIBU and RDSF
!  J. Wurtz       03/2022: new snow characteristics
!  M. Taufour     07/2022: add concentration for snow, graupel, hail
!
!-------------------------------------------------------------------------------
!
!*       0.    DECLARATIONS
!              ------------
!
USE MODD_CST
!USE MODD_LUNIT, ONLY: TLUOUT0
USE MODD_PARAMETERS
USE MODD_PARAM_LIMA
USE MODD_PARAM_LIMA_WARM
USE MODD_PARAM_LIMA_COLD
USE MODD_PARAM_LIMA_MIXED
!
use mode_msg
!
USE MODE_LIMA_FUNCTIONS, ONLY: MOMG, GAUHER
USE MODE_RRCOLSS, ONLY: RRCOLSS
USE MODE_RZCOLX, ONLY: RZCOLX
USE MODE_RSCOLRG, ONLY: RSCOLRG
USE MODE_NRCOLSS, ONLY: NRCOLSS
USE MODE_NZCOLX, ONLY: NZCOLX 
USE MODE_NSCOLRG, ONLY: NSCOLRG
USE MODE_LIMA_READ_XKER_RACCS, ONLY: LIMA_READ_XKER_RACCS
USE MODE_LIMA_READ_XKER_SDRYG, ONLY: LIMA_READ_XKER_SDRYG
USE MODE_LIMA_READ_XKER_RDRYG, ONLY: LIMA_READ_XKER_RDRYG
USE MODE_LIMA_READ_XKER_SWETH, ONLY: LIMA_READ_XKER_SWETH
USE MODE_LIMA_READ_XKER_GWETH, ONLY: LIMA_READ_XKER_GWETH
!
IMPLICIT NONE
!
!*       0.1   Declarations of dummy arguments :
!
REAL,                    INTENT(IN) :: PTSTEP    ! Effective Time step 
REAL,                    INTENT(IN) :: PDZMIN    ! minimun vertical mesh size
!
!*       0.2   Declarations of local variables :
!
character(len=13) :: yval     ! String for error message
INTEGER :: IKB                ! Coordinates of the first  physical 
                              ! points along z
INTEGER :: J1                 ! Internal loop indexes
!
REAL, DIMENSION(8)  :: ZGAMI  ! parameters involving various moments
REAL, DIMENSION(2)  :: ZGAMS  ! of the generalized gamma law
!
REAL :: ZRHO00                ! Surface reference air density
REAL :: ZRATE                 ! Geometrical growth of Lbda in the tabulated
                              ! functions and kernels
REAL :: ZBOUND                ! XDCSLIM*Lbda_s: upper bound for the partial
                              ! integration of the riming rate of the aggregates
REAL :: ZEGS, ZEGR, ZEHS, ZEHG! Bulk collection efficiencies
!
INTEGER :: IND                ! Number of interval to integrate the kernels
REAL :: ZESR, ZESS            ! Mean efficiency of rain-aggregate collection, aggregate-aggregate collection
REAL :: ZFDINFTY              ! Factor used to define the "infinite" diameter
!
!
!INTEGER  :: ILUOUT0 ! Logical unit number for output-listing
!LOGICAL  :: GFLAG   ! Logical flag for printing the constatnts on the output
!                    ! listing
REAL     :: ZCONC_MAX ! Maximal concentration for snow
REAL     :: ZFACT_NUCL! Amplification factor for the minimal ice concentration
!  
INTEGER  :: KND
INTEGER  :: KACCLBDAS,KACCLBDAR,KDRYLBDAG,KDRYLBDAS,KDRYLBDAR
REAL     :: PALPHAR,PALPHAS,PALPHAG,PALPHAH
REAL     :: PNUR,PNUS,PNUG,PNUH
REAL     :: PDR,PDS,PFVELOS,PDG,PDH
REAL     :: PESR,PEGS,PEGR,PEHS,PEHG
REAL     :: PFDINFTY
REAL     :: PACCLBDAS_MAX,PACCLBDAR_MAX,PACCLBDAS_MIN,PACCLBDAR_MIN
REAL     :: PDRYLBDAG_MAX,PDRYLBDAS_MAX,PDRYLBDAG_MIN,PDRYLBDAS_MIN
REAL     :: PDRYLBDAR_MAX,PDRYLBDAR_MIN
REAL     :: PWETLBDAS_MAX,PWETLBDAG_MAX,PWETLBDAS_MIN,PWETLBDAG_MIN
REAL     :: PWETLBDAH_MAX,PWETLBDAH_MIN
INTEGER  :: KWETLBDAS,KWETLBDAG,KWETLBDAH
!
REAL     :: ZFAC_ZRNIC ! Zrnic factor used to decrease Long Kernels
REAL :: ZBOUND_CIBU_SMIN    ! XDCSLIM*Lbda_s : lower bound used in the tabulated function
REAL :: ZBOUND_CIBU_GMIN    ! XDCGLIM*Lbda_g : lower bound used in the tabulated function
REAL :: ZRATE_S             ! Geometrical growth of Lbda_s in the tabulated function
REAL :: ZRATE_G             ! Geometrical growth of Lbda_g in the tabulated function
!
REAL :: ZBOUND_RDSF_RMIN    ! XDCRLIM*Lbda_r : lower bound used in the tabulated function
REAL :: ZRATE_R             ! Geometrical growth of Lbda_r in the tabulated function
REAL :: ZKHI_LWM            ! Coefficient of Lawson et al. (2015)
!
!-------------------------------------------------------------------------------
!
!
!ILUOUT0 = TLUOUT0%NLU
CALL PARAM_LIMA_COLD_ASSOCIATE()
CALL PARAM_LIMA_MIXED_ASSOCIATE()
!
!
!*       1.     CHARACTERISTICS OF THE SPECIES
!   	        ------------------------------
!
!CALL RAIN_ICE_PARAM_ASSOCIATE()
!
!*       1.2    Ice crystal characteristics
!
SELECT CASE (CPRISTINE_ICE_LIMA)
  CASE('PLAT')
    XAI = 0.82      ! Plates
    XBI = 2.5       ! Plates 
    XC_I = 747.     ! Plates
    XDI = 1.0       ! Plates
    XC1I = 1./XPI   ! Plates
  CASE('COLU')
    XAI = 2.14E-3   ! Columns
    XBI = 1.7       ! Columns
    XC_I = 1.96E5   ! Columns
    XDI = 1.585     ! Columns
    XC1I = 0.8      ! Columns 
  CASE('BURO')
    XAI = 44.0      ! Bullet rosettes
    XBI = 3.0       ! Bullet rosettes
    XC_I = 4.E5     ! Bullet rosettes
    XDI = 1.663     ! Bullet rosettes
  CASE('YPLA')
    XAI = 0.745      ! Plates_from Yang et al (2013)
    XBI = 2.47       ! Plates_from Yang et al (2013)
    XC_I = 63.     ! Plates_from Yang et al (2013)
    XDI = 0.68       ! Plates_from Yang et al (2013)
    XGAMMAI = 0.096
    XDELTAI = 1.83    
    XC1I = 1./XPI   ! Plates_from Yang et al (2013)
  CASE('YCOL')
    XAI = 261.102   ! Columns_from Yang et al (2013)
    XBI = 2.99       ! Columns_from Yang et al (2013)
    XC_I = 671   ! Columns_from Yang et al (2013)
    XDI = 0.62     ! Columns_from Yang et al (2013)
    XGAMMAI = 0.659
    XDELTAI = 2.0    
    XC1I = 0.8      ! Columns_from Yang et al (2013)
  CASE('YBUR')
    XAI = 1.268      ! Bullet rosettes_from Yang et al (2013)
    XBI = 2.59       ! Bullet rosettes_from Yang et al (2013)
    XC_I = 128     ! Bullet rosettes_from Yang et al (2013)
    XDI = 0.72     ! Bullet rosettes_from Yang et al (2013)
    XGAMMAI = 0.062
    XDELTAI = 1.81    
    XC1I = 0.5      ! Bullet rosettes_from Yang et al (2013)
  CASE('YDRO')
    XAI = 1.268      ! Droxtals_from Yang et al (2013)
    XBI = 2.59       ! Droxtals_from Yang et al (2013)
    XC_I = 128     ! Droxtals_from Yang et al (2013)
    XDI = 0.72     ! Droxtals_from Yang et al (2013)
    XGAMMAI = 0.673
    XDELTAI = 2.0    
    XC1I = 0.5      ! Droxtals_from Yang et al (2013)
  CASE('YHCO')
    XAI = 217.586   ! Hollow_Columns_from Yang et al (2013)
    XBI = 2.99       ! Hollow_Columns_from Yang et al (2013)
    XC_I = 641   ! Hollow_Columns_from Yang et al (2013)
    XDI = 0.63     ! Hollow_Columns_from Yang et al (2013)
    XGAMMAI = 0.659
    XDELTAI = 2.0    
    XC1I = 0.8      ! Hollow_Columns_from Yang et al (2013)
  CASE('YHBU')
    XAI = 1.258      ! Hollow_Bullet rosettes_from Yang et al (2013)
    XBI = 2.61       ! Hollow_Bullet rosettes_from Yang et al (2013)
    XC_I = 147     ! Hollow_Bullet rosettes_from Yang et al (2013)
    XDI = 0.73     ! Hollow_Bullet rosettes_from Yang et al (2013)
    XGAMMAI = 0.061
    XDELTAI = 1.81    
    XC1I = 0.5      ! Hollow_Bullet rosettes_from Yang et al (2013)    
END SELECT
!
!  Note that XCCI=N_i (a locally predicted value) and XCXI=0.0, implicitly
!
XF0I = 1.00
! Correction BVIE XF2I from Pruppacher 1997 eq 13-88
!XF2I = 0.103
XF2I = 0.14
XF0IS = 0.86
XF1IS = 0.28
!
!*       1.3    Snowflakes/aggregates characteristics
!
XAS = 0.02
XBS = 1.9

IF (LSNOW_T) THEN
!Cas Gamma generalisee
XCS = 11.52
XDS = 0.39
XFVELOS =0.097
!Cas MP
!XCS = 13.2
!XDS = 0.423       
!XFVELOS = 25.14
ELSE
XF0S = 0.86
XF1S = 0.28
!
XC1S = 1./XPI
!
!*       1.4    Graupel characteristics
!
XAG = 19.6  ! Lump graupel case
XBG = 2.8   ! Lump graupel case
XCG = 122.  ! Lump graupel case
XDG = 0.66  ! Lump graupel case
!
XCCG = 5.E5
XCXG = -0.5
! XCCG = 4.E4 ! Test of Ziegler (1988)
! XCXG = -1.0 ! Test of Ziegler (1988)
!
XF0G = 0.86
XF1G = 0.28
!
XC1G = 1./2.
!
!*       2.5    Hailstone characteristics
!
!
XAH = 470.
XBH = 3.0
XCH = 201.
XDH = 0.64
!
!XCCH = 5.E-4
!XCXH = 2.0
!!!!!!!!!!!!
XCCH = 4.E4 ! Test of Ziegler (1988)
XCXH = -1.0 ! Test of Ziegler (1988)
!!!    XCCH = 5.E5 ! Graupel_like
!!!    XCXH = -0.5 ! Graupel_like
!!!!!!!!!!!!
!
XF0H = 0.86
XF1H = 0.28
!
XC1H = 1./2.
!  
!-------------------------------------------------------------------------------
!
!
!*       2.     DIMENSIONAL DISTRIBUTIONS OF THE SPECIES
!   	        ----------------------------------------
!
!
!*       2.1    Ice, snow, graupel and hail distribution
!
!
XALPHAI = 3.0  ! Gamma law for the ice crystal volume
XNUI    = 3.0  ! Gamma law with little dispersion
!
IF (LSNOW_T) THEN
!Cas GAMMAGEN
   XALPHAS = .214   ! Generalized gamma law
   XNUS    = 43.7   ! Generalized gamma law
   XTRANS_MP_GAMMAS = SQRT( ( GAMMA(XNUS + 2./XALPHAS)*GAMMA(XNUS + 4./XALPHAS) ) / &
                            ( 8.* GAMMA(XNUS + 1./XALPHAS)*GAMMA(XNUS + 3./XALPHAS) ) )
ELSE IF (NMOM_S.EQ.2) THEN
   XALPHAS = 1.0  ! Gamma law 
   XNUS    = 2.0  !
   XTRANS_MP_GAMMAS = SQRT( ( GAMMA(XNUS + 2./XALPHAS)*GAMMA(XNUS + 4./XALPHAS) ) / &
                            ( 8.* GAMMA(XNUS + 1./XALPHAS)*GAMMA(XNUS + 3./XALPHAS) ) )
ELSE
   XALPHAS = 1.0  ! Exponential law
   XNUS    = 1.0  ! Exponential law
   XTRANS_MP_GAMMAS = 1.
END IF
if (NMOM_G.GE.2) then
   XALPHAG = 1.0  ! 
   XNUG    = 2.0  !
else
   XALPHAG = 1.0  ! Exponential law
   XNUG    = 1.0  ! Exponential law
end if
!
if (NMOM_H.GE.2) then
   XALPHAH = 1.0  ! Gamma law
   XNUH    = 5.0  ! Gamma law with little dispersion
else
   XALPHAH = 1.0  ! Gamma law
   XNUH    = 8.0  ! Gamma law with little dispersion
end if
!
!*       2.2    Constants for shape parameter
!
XLBEXI = 1.0/XBI
XLBI   = XAI*MOMG(XALPHAI,XNUI,XBI)
!
XNS = 1.0/(XAS*MOMG(XALPHAS,XNUS,XBS))
IF (NMOM_S.EQ.1) THEN
   XLBEXS = 1.0/(XCXS-XBS)
   XLBS   = ( XAS*XCCS*MOMG(XALPHAS,XNUS,XBS) )**(-XLBEXS)
ELSE
   XLBEXS = 1./XBS
   XLBS   = XAS * MOMG(XALPHAS,XNUS,XBS)
END IF
XNG = 1.0/(XAG*MOMG(XALPHAG,XNUG,XBG))
IF (NMOM_G.EQ.1) THEN
   XLBEXG = 1.0/(XCXG-XBG)
   XLBG   = ( XAG*XCCG*MOMG(XALPHAG,XNUG,XBG))**(-XLBEXG)
ELSE
   XLBEXG = 1./XBG
   XLBG   = XAG * MOMG(XALPHAG,XNUG,XBG)
END IF
IF (NMOM_H.EQ.1) THEN
   XLBEXH = 1.0/(XCXH-XBH)
   XLBH   = ( XAH*XCCH*MOMG(XALPHAH,XNUH,XBH) )**(-XLBEXH)
ELSE
   XLBEXH = 1./XBH
   XLBH   = XAH * MOMG(XALPHAH,XNUH,XBH)
END IF
!!$GFLAG = .TRUE.
!!$IF (GFLAG) THEN
!!$  WRITE(UNIT=ILUOUT0,FMT='("      Shape Parameters")')
!!$  WRITE(UNIT=ILUOUT0,FMT='(" XLBEXI =",E13.6," XLBI =",E13.6)') XLBEXI,XLBI
!!$  WRITE(UNIT=ILUOUT0,FMT='(" XLBEXS =",E13.6," XLBS =",E13.6)') XLBEXS,XLBS
!!$  WRITE(UNIT=ILUOUT0,FMT='(" XLBEXG =",E13.6," XLBG =",E13.6)') XLBEXG,XLBG
!!$  WRITE(UNIT=ILUOUT0,FMT='(" XLBEXH =",E13.6," XLBH =",E13.6)') XLBEXH,XLBH
!!$END IF
XLBDAS_MAX = 1.E7 ! (eq to r~1E-7kg/kg) (for non MP PSD, use conversion XTRANS_MP_GAMMAS)
XLBDAS_MIN = 1.   ! (eq to r~0.18kg/kg) (for non MP PSD, use conversion XTRANS_MP_GAMMAS)
XLBDAG_MAX = 100000.0
!
ZCONC_MAX  = 1.E6 ! Maximal concentration for falling particules set to 1 per cc
!XLBDAS_MAX = ( ZCONC_MAX/XCCS )**(1./XCXS) 
!XLBDAG_MAX = ( ZCONC_MAX/XCCG )**(1./XCXG) 
!XLBDAH_MAX = ( ZCONC_MAX/XCCH )**(1./XCXH) 
!  
!    constante for ecRad effective radius
ZRHOIW = 0.917
XREFFI = (3*XAI/(2*ZRHOIW*10**3*XGAMMAI)*MOMG(XALPHAI,XNUI,XBI)/MOMG(XALPHAI,XNUI,XDELTAI))*1E6
!
!-------------------------------------------------------------------------------
!
!
!*       3.     CONSTANTS FOR THE SEDIMENTATION
!   	        -------------------------------
!
!
!*       3.1    Exponent of the fall-speed air density correction
!
IKB = 1 + JPVEXT
! Correction
! ZRHO00 = XP00/(XRD*XTHVREFZ(IKB))
ZRHO00 = 1.2041 ! at P=1013.25hPa and T=20°C
!
!*       3.2    Constants for sedimentation
!
!! XEXRSEDI = (XBI+XDI)/XBI
!! XEXCSEDI = 1.0-XEXRSEDI
!! XFSEDI   = (4.*XPI*900.)**(-XEXCSEDI) *                         &
!!            XC_I*XAI*MOMG(XALPHAI,XNUI,XBI+XDI) *                &
!!            ((XAI*MOMG(XALPHAI,XNUI,XBI)))**(-XEXRSEDI) *        &
!!            (ZRHO00)**XCEXVT
!! !
!! !  Computations made for Columns
!! !
!! XEXRSEDI = 1.9324
!! XEXCSEDI =-0.9324
!! XFSEDI   = 3.89745E11*MOMG(XALPHAI,XNUI,3.285)*                          &
!!                       MOMG(XALPHAI,XNUI,1.7)**(-XEXRSEDI)*(ZRHO00)**XCEXVT
!! XEXCSEDI =-0.9324*3.0
!! WRITE (ILUOUT0,FMT=*)' PRISTINE ICE SEDIMENTATION for columns XFSEDI=',XFSEDI
!
!
XFSEDRI  = XC_I*GAMMA_X0D(XNUI+(XDI+XBI)/XALPHAI)/GAMMA_X0D(XNUI+XBI/XALPHAI)*     &
            (ZRHO00)**XCEXVT
XFSEDCI  = XC_I*GAMMA_X0D(XNUI+XDI/XALPHAI)/GAMMA_X0D(XNUI)*     &
            (ZRHO00)**XCEXVT
!
IF (LSNOW_T) THEN
!HOUZE/HAIC
   !XEXSEDS = -XDS !(2*XBS+XDS)
   !XFSEDS  = XCS*MOMG(XALPHAS,XNUS,XBS+XDS)/(MOMG(XALPHAS,XNUS,XBS))    &
   !            *(ZRHO00)**XCEXVT
!LH_EXTENDED
   XEXSEDS = -XDS-XBS
   XFSEDS  = XCS*MOMG(XALPHAS,XNUS,XBS+XDS)/(MOMG(XALPHAS,XNUS,XBS))    &
            *(ZRHO00)**XCEXVT
ELSE
   XEXSEDS = (XBS+XDS-XCXS)/(XBS-XCXS)
   XFSEDS  = XCS*XAS*XCCS*MOMG(XALPHAS,XNUS,XBS+XDS)*                         &
            (XAS*XCCS*MOMG(XALPHAS,XNUS,XBS))**(-XEXSEDS)*(ZRHO00)**XCEXVT
!
XEXSEDG = (XBG+XDG-XCXG)/(XBG-XCXG)
XFSEDG  = XCG*XAG*XCCG*MOMG(XALPHAG,XNUG,XBG+XDG)*                         &
            (XAG*XCCG*MOMG(XALPHAG,XNUG,XBG))**(-XEXSEDG)*(ZRHO00)**XCEXVT
!
XEXSEDH = (XBH+XDH-XCXH)/(XBH-XCXH)
XFSEDH  = XCH*XAH*XCCH*MOMG(XALPHAH,XNUH,XBH+XDH)*                         &
            (XAH*XCCH*MOMG(XALPHAH,XNUH,XBH))**(-XEXSEDH)*(ZRHO00)**XCEXVT
IF (NMOM_S.GE.2) THEN
  XFSEDRS  = XCS*GAMMA_X0D(XNUS+(XDS+XBS)/XALPHAS)/GAMMA_X0D(XNUS+XBS/XALPHAS)*  &   
            (ZRHO00)**XCEXVT                                                       
  XFSEDCS  = XCS*GAMMA_X0D(XNUS+XDS/XALPHAS)/GAMMA_X0D(XNUS)*                     & 
            (ZRHO00)**XCEXVT
END IF
IF (NMOM_G.GE.2) THEN
  XFSEDRG  = XCG*GAMMA_X0D(XNUG+(XDG+XBG)/XALPHAG)/GAMMA_X0D(XNUG+XBG/XALPHAG)*  &  
               (ZRHO00)**XCEXVT                                                      
  XFSEDCG  = XCG*GAMMA_X0D(XNUG+XDG/XALPHAG)/GAMMA_X0D(XNUG)*                     & 
               (ZRHO00)**XCEXVT 
END IF
IF (NMOM_H.GE.2) THEN
  XFSEDRH  = XCH*GAMMA_X0D(XNUH+(XDH+XBH)/XALPHAH)/GAMMA_X0D(XNUH+XBH/XALPHAH)*  &  
            (ZRHO00)**XCEXVT                                                        
  XFSEDCH  = XCH*GAMMA_X0D(XNUH+XDH/XALPHAH)/GAMMA_X0D(XNUH)*                     & 
            (ZRHO00)**XCEXVT
END IF
!
!
!
XLB(4)    = XLBI
XLBEX(4)  = XLBEXI
XD(4)     = XDI
XFSEDR(4) = XFSEDRI
XFSEDC(4) = XFSEDCI
!
XLB(5)    = XLBS
XLBEX(5)  = XLBEXS
XD(5)     = XDS
XFSEDR(5) = XCS*GAMMA_X0D(XNUS+(XDS+XBS)/XALPHAS)/GAMMA_X0D(XNUS+XBS/XALPHAS)*     &
            (ZRHO00)**XCEXVT
XFSEDC(5) = XCS*GAMMA_X0D(XNUS+XDS/XALPHAS)/GAMMA_X0D(XNUS)*                     & 
            (ZRHO00)**XCEXVT
!
XLB(6)    = XLBG
XLBEX(6)  = XLBEXG
XD(6)     = XDG
XFSEDR(6) = XCG*GAMMA_X0D(XNUG+(XDG+XBG)/XALPHAG)/GAMMA_X0D(XNUG+XBG/XALPHAG)*     &
            (ZRHO00)**XCEXVT
XFSEDC(6) = XCG*GAMMA_X0D(XNUG+XDG/XALPHAG)/GAMMA_X0D(XNUG)*                     & 
            (ZRHO00)**XCEXVT
!
XLB(7)    = XLBH
XLBEX(7)  = XLBEXH
XD(7)     = XDH
XFSEDR(7) = XCH*GAMMA_X0D(XNUH+(XDH+XBH)/XALPHAH)/GAMMA_X0D(XNUH+XBH/XALPHAH)*     &
            (ZRHO00)**XCEXVT
XFSEDC(7) = XCH*GAMMA_X0D(XNUH+XDH/XALPHAH)/GAMMA_X0D(XNUH)*                     & 
            (ZRHO00)**XCEXVT
!
!-------------------------------------------------------------------------------
!
!
!*       4.     CONSTANTS FOR HETEROGENEOUS NUCLEATION
!   	        --------------------------------------
!
!
!                 ***************
!*          4.1   LIMA_NUCLEATION
!                 ***************   
!*               4.1.1  Constants for the computation of the number concentration
!                       of active IN 
!
XRHO_CFDC  = 0.76 
!
XGAMMA     = 2.
!
IF (NPHILLIPS == 13) THEN
   XAREA1(1)  = 2.0E-6    !DM1
   XAREA1(2)  = XAREA1(1) !DM2
   XAREA1(3)  = 1.0E-7    !BC
   XAREA1(4)  = 8.9E-7    !BIO
ELSE IF (NPHILLIPS == 8) THEN
   XAREA1(1)  = 2.0E-6    !DM1
   XAREA1(2)  = XAREA1(1) !DM2
   XAREA1(3)  = 2.7E-7    !BC
   XAREA1(4)  = 9.1E-7    !BIO
ELSE
  call Print_msg( NVERB_FATAL, 'GEN', 'INI_LIMA_COLD_MIXED', 'NPHILLIPS should be equal to 8 or 13' )
END IF
!
!*               4.1.2  Constants for the computation of H_X (the fraction-redu-
!                       cing IN activity at low S_i and warm T) for X={DM1,DM2,BC,BIO} 
!                       
!
IF (NPHILLIPS == 13) THEN
   XDT0(1)   =   5.  !DM1
   XDT0(2)   =   5.  !DM2
   XDT0(3)   =  10.  !BC
   XDT0(4)   =   5.  !BIOO
!
   XT0(1) = -40. +273.15 !DM1
   XT0(2) = XT0(1)       !DM2
   XT0(3) = -50. +273.15 !BC
   XT0(4) = -20. +273.15 !BIO
!
   XSW0   = 0.97
!
   XDSI0(1)  = 0.1 !DM1
   XDSI0(2)  = 0.1 !DM2
   XDSI0(3)  = 0.1 !BC
   XDSI0(4)  = 0.2 !BIO
!
   XH(1) = 0.15          !DM1
   XH(2) = 0.15          !DM2
   XH(3) = 0.            !BC
   XH(4) = 0.            !O
!
   XTX1(1) = -30. +273.15 !DM1
   XTX1(2) = XTX1(1)      !DM2
   XTX1(3) = -25. +273.15 !BC
   XTX1(4) =  -5. +273.15 !BIO
!
   XTX2(1) = -10. +273.15 !DM1
   XTX2(2) = XTX2(1)      !DM2
   XTX2(3) = -15. +273.15 !BC
   XTX2(4) =  -2. +273.15 !BIO
ELSE IF (NPHILLIPS == 8) THEN
   XDT0(1)   =   5.  !DM1
   XDT0(2)   =   5.  !DM2
   XDT0(3)   =   5.  !BC
   XDT0(4)   =   5.  !O
!
   XT0(1) = -40. +273.15 !DM1
   XT0(2) = XT0(1)       !DM2
   XT0(3) = -50. +273.15 !BC
   XT0(4) = -50. +273.15 !BIO
!
   XSW0   = 0.97
!
   XDSI0(1)  = 0.1 !DM1
   XDSI0(2)  = 0.1 !DM2
   XDSI0(3)  = 0.1 !BC
   XDSI0(4)  = 0.1 !BIO
!
   XH(1) = 0.15          !DM1
   XH(2) = 0.15          !DM2
   XH(3) = 0.            !BC
   XH(4) = 0.            !O
!
   XTX1(1) =  -5. +273.15 !DM1
   XTX1(2) = XTX1(1)      !DM2
   XTX1(3) =  -5. +273.15 !BC
   XTX1(4) =  -5. +273.15 !BIO
!
   XTX2(1) =  -2. +273.15 !DM1
   XTX2(2) = XTX2(1)      !DM2
   XTX2(3) =  -2. +273.15 !BC
   XTX2(4) =  -2. +273.15 !BIO
END IF
!
!*               4.1.3  Constants for the computation of the Gauss Hermitte 
!                       quadrature method used for the integration of the total
!                       crystal number over T>-35°C
!
NDIAM = 70
!
CALL PARAM_LIMA_ALLOCATE('XABSCISS', NDIAM)
CALL PARAM_LIMA_ALLOCATE('XWEIGHT',  NDIAM)
!
CALL GAUHER(XABSCISS, XWEIGHT, NDIAM)
!
!                 ***************** 
!*          4.2   MEYERS NUCLEATION
!                 ***************** 
!
ZFACT_NUCL =  1.0    ! Plates, Columns and Bullet rosettes
!
!*               5.2.1  Constants for nucleation from ice nuclei
!
XNUC_DEP  = XFACTNUC_DEP*1000.*ZFACT_NUCL
XEXSI_DEP = 12.96E-2
XEX_DEP   = -0.639
!
XNUC_CON   = XFACTNUC_CON*1000.*ZFACT_NUCL
XEXTT_CON  = -0.262
XEX_CON    = -2.8
!
XMNU0 = 6.88E-13
!
!!$IF (LMEYERS) THEN
!!$  WRITE(UNIT=ILUOUT0,FMT='("      Heterogeneous nucleation")')
!!$  WRITE(UNIT=ILUOUT0,FMT='(" XNUC_DEP=",E13.6," XEXSI=",E13.6," XEX=",E13.6)') &
!!$                                                      XNUC_DEP,XEXSI_DEP,XEX_DEP
!!$  WRITE(UNIT=ILUOUT0,FMT='(" XNUC_CON=",E13.6," XEXTT=",E13.6," XEX=",E13.6)') &
!!$                                                      XNUC_CON,XEXTT_CON,XEX_CON
!!$  WRITE(UNIT=ILUOUT0,FMT='(" mass of embryo XMNU0=",E13.6)') XMNU0
!!$END IF
!
!                 ***************** 
!*          4.3   NUCLEATION for NMOM_I=1
!                 ***************** 
!
XNU10 = 50.*ZFACT_NUCL
XALPHA1 = 4.5
XBETA1 = 0.6
!
XNU20 = 1000.*ZFACT_NUCL
XALPHA2 = 12.96
XBETA2 = 0.639
!
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!XMNU0 = 6.88E-13
!-------------------------------------------------------------------------------
!
!
!*       5.     CONSTANTS FOR THE SLOW COLD PROCESSES
!   	        -------------------------------------
!
!
!*       5.1.2  Constants for homogeneous nucleation from haze particules
!
XRHOI_HONH = 925.0
XCEXP_DIFVAP_HONH = 1.94
XCOEF_DIFVAP_HONH = (2.0*XPI)*0.211E-4*XP00/XTT**XCEXP_DIFVAP_HONH
XCRITSAT1_HONH = 2.583
XCRITSAT2_HONH = 207.83
XTMIN_HONH = 180.0
XTMAX_HONH = 240.0
XDLNJODT1_HONH = 4.37
XDLNJODT2_HONH = 0.03
XC1_HONH = 100.0
XC2_HONH = 22.6
XC3_HONH = 0.1
XRCOEF_HONH = (XPI/6.0)*XRHOI_HONH
!
!
!*       5.1.3  Constants for homogeneous nucleation from cloud droplets
!
XTEXP1_HONC = -606.3952*LOG(10.0)
XTEXP2_HONC =  -52.6611*LOG(10.0)
XTEXP3_HONC =   -1.7439*LOG(10.0)
XTEXP4_HONC =   -0.0265*LOG(10.0)
XTEXP5_HONC = -1.536E-4*LOG(10.0)
IF (XALPHAC == 3.0) THEN
  XC_HONC   = XPI/6.0
  XR_HONC   = XPI/6.0
ELSE
  write ( yval, '( E13.6 )' ) xalphac
  call Print_msg( NVERB_FATAL, 'GEN', 'INI_LIMA_COLD_MIXED', 'homogeneous nucleation: XALPHAC='//trim(yval)// &
                  '/= 3. No algorithm developed for this case' )
END IF
!
!!$GFLAG = .TRUE.
!!$IF (GFLAG) THEN
!!$  WRITE(UNIT=ILUOUT0,FMT='("      Homogeneous nucleation")')
!!$  WRITE(UNIT=ILUOUT0,FMT='(" XTEXP1_HONC=",E13.6)') XTEXP1_HONC
!!$  WRITE(UNIT=ILUOUT0,FMT='(" XTEXP2_HONC=",E13.6)') XTEXP2_HONC
!!$  WRITE(UNIT=ILUOUT0,FMT='(" XTEXP3_HONC=",E13.6)') XTEXP3_HONC
!!$  WRITE(UNIT=ILUOUT0,FMT='(" XTEXP4_HONC=",E13.6)') XTEXP4_HONC
!!$  WRITE(UNIT=ILUOUT0,FMT='(" XTEXP5_HONC=",E13.6)') XTEXP5_HONC
!!$  WRITE(UNIT=ILUOUT0,FMT='("XC_HONC=",E13.6," XR_HONC=",E13.6)') XC_HONC,XR_HONC
!!$END IF
!
!
!*       5.2    Constants for vapor deposition on ice
!
XSCFAC = (0.63**(1./3.))*SQRT((ZRHO00)**XCEXVT) ! One assumes Sc=0.63
!
X0DEPI = (4.0*XPI)*XC1I*XF0I*MOMG(XALPHAI,XNUI,1.)
X2DEPI = (4.0*XPI)*XC1I*XF2I*XC_I*MOMG(XALPHAI,XNUI,XDI+2.0)
!
! Harrington parameterization for ice to snow conversion
!
XDICNVS_LIM = 125.E-6  ! size in microns
XLBDAICNVS_LIM = (50.0**(1.0/(XALPHAI)))/XDICNVS_LIM  ! ZLBDAI Limitation
XC0DEPIS = ((4.0*XPI)/(XAI*XBI))*XC1I*XF0IS*                        &
           (XALPHAI/GAMMA_X0D(XNUI))*XDICNVS_LIM**(1.0-XBI)
XC1DEPIS = ((4.0*XPI)/(XAI*XBI))*XC1I*XF1IS*SQRT(XC_I)*             &
           (XALPHAI/GAMMA_X0D(XNUI))*XDICNVS_LIM**(1.0-XBI+(XDI+1.0)/2.0)
XR0DEPIS = XC0DEPIS *(XAI*XDICNVS_LIM**XBI)
XR1DEPIS = XC1DEPIS *(XAI*XDICNVS_LIM**XBI)
!
! Harrington parameterization for snow to ice conversion
!
XLBDASCNVI_MAX = 6000.*XTRANS_MP_GAMMAS ! lbdas max after Field (1999)
!
XDSCNVI_LIM    = 125.E-6  ! size in microns
XLBDASCNVI_LIM = (50.0**(1.0/(XALPHAS)))/XDSCNVI_LIM  ! ZLBDAS Limitation
XC0DEPSI = ((4.0*XPI)/(XAS*XBS))*XC1S*XF0IS*                        &
           (XALPHAS/GAMMA_X0D(XNUS))*XDSCNVI_LIM**(1.0-XBS)
XC1DEPSI = ((4.0*XPI)/(XAS*XBS))*XC1S*XF1IS*SQRT(XCS)*             &
           (XALPHAS/GAMMA_X0D(XNUS))*XDSCNVI_LIM**(1.0-XBS+(XDS+1.0)/2.0)
XR0DEPSI = XC0DEPSI *(XAS*XDSCNVI_LIM**XBS)
XR1DEPSI = XC1DEPSI *(XAS*XDSCNVI_LIM**XBS)
!
! Vapor deposition on snow and graupel and hail
!
X0DEPS = (4.0*XPI)*XC1S*XF0S*MOMG(XALPHAS,XNUS,1.)
X1DEPS = (4.0*XPI)*XC1S*XF1S*SQRT(XCS)*MOMG(XALPHAS,XNUS,0.5*XDS+1.5)
XEX0DEPS = -1.0
XEX1DEPS = -0.5*(XDS+3.0)
X0DEPG = (4.0*XPI)*XC1G*XF0G*MOMG(XALPHAG,XNUG,1.)  
X1DEPG = (4.0*XPI)*XC1G*XF1G*SQRT(XCG)*MOMG(XALPHAG,XNUG,0.5*XDG+1.5) 
XEX0DEPG = -1.0                                                       
XEX1DEPG = -0.5*(XDG+3.0)
!
X0DEPH = (4.0*XPI)*XC1H*XF0H*MOMG(XALPHAH,XNUH,1.)   
X1DEPH = (4.0*XPI)*XC1H*XF1H*SQRT(XCH)*MOMG(XALPHAH,XNUH,0.5*XDH+1.5) 
XEX0DEPH = -1.0                                                        
XEX1DEPH = -0.5*(XDH+3.0)
!
!-------------------------------------------------------------------------------
!
!
!*       6.     CONSTANTS FOR THE COALESCENCE PROCESSES
!   	        ---------------------------------------
!
!
!*       6.0    Precalculation of the gamma function momentum
!
ZGAMI(1) = GAMMA_X0D(XNUI)
ZGAMI(2) = MOMG(XALPHAI,XNUI,3.)
ZGAMI(3) = MOMG(XALPHAI,XNUI,6.)
ZGAMI(4) = ZGAMI(3)-ZGAMI(2)**2  ! useful for Sig_I
ZGAMI(5) = MOMG(XALPHAI,XNUI,9.)
ZGAMI(6) = MOMG(XALPHAI,XNUI,3.+XBI)
ZGAMI(7) = MOMG(XALPHAI,XNUI,XBI)
ZGAMI(8) = MOMG(XALPHAI,XNUI,3.)/MOMG(XALPHAI,XNUI,2.)
!
ZGAMS(1) = GAMMA_X0D(XNUS)
ZGAMS(2) = MOMG(XALPHAS,XNUS,3.)
!
!
!*       6.1    Csts for the coalescence processes
!
ZFAC_ZRNIC = 0.1
XKER_ZRNIC_A1 = 2.59E15*ZFAC_ZRNIC**2! From Long  a1=9.44E9 cm-3 
                                     ! so XKERA1= 9.44E9*1E6*(PI/6)**2
XKER_ZRNIC_A2 = 3.03E3*ZFAC_ZRNIC    ! From Long  a2=5.78E3      
                                     ! so XKERA2= 5.78E3*    (PI/6)
!
!
!*       6.2    Csts for the pristine ice selfcollection process
!
XSELFI = XKER_ZRNIC_A1*ZGAMI(3)
XCOLEXII = 0.025   !  Temperature factor of the I+I collection efficiency
!
!
!*       6.3    Constants for pristine ice autoconversion
!
XTEXAUTI = 0.025   !  Temperature factor of the I+I collection efficiency
!
!!$GFLAG = .TRUE.
!!$IF (GFLAG) THEN
!!$  WRITE(UNIT=ILUOUT0,FMT='("      pristine ice autoconversion")')
!!$  WRITE(UNIT=ILUOUT0,FMT='(" Temp. factor    XTEXAUTI=",E13.6)') XTEXAUTI
!!$END IF
!
XAUTO3 = 6.25E18*(ZGAMI(2))**(1./3.)*SQRT(ZGAMI(4))
XAUTO4 = 0.5E6*(ZGAMI(4))**(1./6.)
XLAUTS = 2.7E-2
XLAUTS_THRESHOLD  = 0.4
XITAUTS= 0.27 ! (Notice that T2 of BR74 is uncorrect and that 0.27=1./3.7
XITAUTS_THRESHOLD = 7.5
!
!
!*       6.4    Constants for snow aggregation
!
XCOLEXIS = 0.05    ! Temperature factor of the I+S collection efficiency
XFIAGGS  = (XPI/4.0)*0.25*XCS*(ZRHO00**XCEXVT)*MOMG(XALPHAS,XNUS,XDS+2.0)
XEXIAGGS = -XDS - 2.0
XAGGS_CLARGE1 = XKER_ZRNIC_A2*ZGAMI(2)
XAGGS_CLARGE2 = XKER_ZRNIC_A2*ZGAMS(2)
XAGGS_RLARGE1 = XKER_ZRNIC_A2*ZGAMI(6)*XAI
XAGGS_RLARGE2 = XKER_ZRNIC_A2*ZGAMI(7)*ZGAMS(2)*XAI
!
!!$GFLAG = .TRUE.
!!$IF (GFLAG) THEN
!!$  WRITE(UNIT=ILUOUT0,FMT='("      snow aggregation")')
!!$  WRITE(UNIT=ILUOUT0,FMT='(" Temp. factor     XCOLEXIS=",E13.6)') XCOLEXIS
!!$END IF
!  
!-------------------------------------------------------------------------------
!
!
!*       7.     CONSTANTS FOR THE FAST COLD PROCESSES FOR THE AGGREGATES
!   	        --------------------------------------------------------
!
!
!*       7.1    Constants for the riming of the aggregates
!
XDCSLIM  = 0.007 ! D_cs^lim = 7 mm as suggested by Farley et al. (1989)
XCOLCS   = 1.0
XEXCRIMSS= -XDS-2.0
XCRIMSS  = (XPI/4.0)*XCOLCS*XCS*(ZRHO00**XCEXVT)*MOMG(XALPHAS,XNUS,XDS+2.0)

XEXCRIMSG= XEXCRIMSS
XCRIMSG  = XCRIMSS
XSRIMCG  = XAS*MOMG(XALPHAS,XNUS,XBS)
XEXSRIMCG= -XBS
!Pour Murakami 1990
XSRIMCG2 = XAG*MOMG(XALPHAS,XNUS,XBG)
XSRIMCG3 = 0.1
XEXSRIMCG2=XBG
!!$GFLAG = .TRUE.
!!$IF (GFLAG) THEN
!!$  WRITE(UNIT=ILUOUT0,FMT='("      riming of the aggregates")')
!!$  WRITE(UNIT=ILUOUT0,FMT='(" D_cs^lim (Farley et al.) XDCSLIM=",E13.6)') XDCSLIM
!!$  WRITE(UNIT=ILUOUT0,FMT='(" Coll. efficiency          XCOLCS=",E13.6)') XCOLCS
!!$END IF
!!$!
PARAM_LIMA_MIXED%NGAMINC = 80
PARAM_LIMA_MIXED%XGAMINC_BOUND_MIN = (1000.*XTRANS_MP_GAMMAS*XDCSLIM)**XALPHAS !1.0E-1 ! Minimal value of (Lbda * D_cs^lim)**alpha
PARAM_LIMA_MIXED%XGAMINC_BOUND_MAX = (50000.*XTRANS_MP_GAMMAS*XDCSLIM)**XALPHAS !1.0E7 ! Maximal value of (Lbda * D_cs^lim)**alpha
ZRATE = EXP(LOG(PARAM_LIMA_MIXED%XGAMINC_BOUND_MAX/PARAM_LIMA_MIXED%XGAMINC_BOUND_MIN)/FLOAT(PARAM_LIMA_MIXED%NGAMINC-1))
CALL PARAM_LIMA_MIXED_ALLOCATE('XGAMINC_RIM1', NGAMINC)
CALL PARAM_LIMA_MIXED_ALLOCATE('XGAMINC_RIM2', NGAMINC)
CALL PARAM_LIMA_MIXED_ALLOCATE('XGAMINC_RIM4', NGAMINC)
  ZBOUND = PARAM_LIMA_MIXED%XGAMINC_BOUND_MIN*ZRATE**(J1-1)
  XGAMINC_RIM1(J1) = GAMMA_INC(XNUS+(2.0+XDS)/XALPHAS,ZBOUND)
  XGAMINC_RIM2(J1) = GAMMA_INC(XNUS+XBS/XALPHAS      ,ZBOUND)
  XGAMINC_RIM4(J1) = GAMMA_INC(XNUS+XBG/XALPHAS      ,ZBOUND) ! Pour Murakami 1990
END DO
!
XRIMINTP1 = XALPHAS / LOG(ZRATE)
XRIMINTP2 = 1.0 + XRIMINTP1*LOG( XDCSLIM/(XGAMINC_BOUND_MIN)**(1.0/XALPHAS) )
!
!*       7.1.1  Defining the constants for the Hallett-Mossop 
!               secondary ice nucleation process
!
XHMTMIN = XTT - 8.0
XHMTMAX = XTT - 3.0
XHM1 = 9.3E-3            ! Obsolete parameterization
XHM2 = 1.5E-3/LOG(10.0)  ! from Ferrier (1995)
XHM_YIELD = 5.E-3 ! A splinter is produced after the riming of 200 droplets
XHM_COLLCS= 1.0   ! Collision efficiency snow/droplet (with Dc>25 microns)
XHM_FACTS = XHM_YIELD*(XHM_COLLCS/XCOLCS)
!
! Notice: One magnitude of lambda discretized over 10 points for the droplets 
!
PARAM_LIMA_MIXED%XGAMINC_HMC_BOUND_MIN = 1.0E-3 ! Min value of (Lbda * (12,25) microns)**alpha
PARAM_LIMA_MIXED%XGAMINC_HMC_BOUND_MAX = 1.0E5  ! Max value of (Lbda * (12,25) microns)**alpha
ZRATE = EXP(LOG(PARAM_LIMA_MIXED%XGAMINC_HMC_BOUND_MAX/PARAM_LIMA_MIXED%XGAMINC_HMC_BOUND_MIN)/REAL(PARAM_LIMA_MIXED%NGAMINC-1))
CALL PARAM_LIMA_MIXED_ALLOCATE('XGAMINC_HMC', NGAMINC)
  ZBOUND = PARAM_LIMA_MIXED%XGAMINC_HMC_BOUND_MIN*ZRATE**(J1-1)
  XGAMINC_HMC(J1) = GAMMA_INC(XNUC,ZBOUND)
END DO
!
XHMSINTP1 = XALPHAC / LOG(ZRATE)
XHMSINTP2 = 1.0 + XHMSINTP1*LOG( 12.E-6/(XGAMINC_HMC_BOUND_MIN)**(1.0/XALPHAC) )
XHMLINTP1 = XALPHAC / LOG(ZRATE)
XHMLINTP2 = 1.0 + XHMLINTP1*LOG( 25.E-6/(XGAMINC_HMC_BOUND_MIN)**(1.0/XALPHAC) )
!
!
!*       7.2    Constants for the accretion of raindrops onto aggregates
!
XFRACCSS  = XPI/4.0*XAR*(ZRHO00**XCEXVT)
XFNRACCSS = XPI/4.0*(ZRHO00**XCEXVT)
!
XLBRACCS1   =    MOMG(XALPHAS,XNUS,2.)*MOMG(XALPHAR,XNUR,3.)
XLBRACCS2   = 2.*MOMG(XALPHAS,XNUS,1.)*MOMG(XALPHAR,XNUR,4.)
XLBRACCS3   =                          MOMG(XALPHAR,XNUR,5.)
XLBNRACCS1  =    MOMG(XALPHAS,XNUS,2.)                             
XLBNRACCS2  = 2.*MOMG(XALPHAS,XNUS,1.)*MOMG(XALPHAR,XNUR,1.)       
XLBNRACCS3  =                          MOMG(XALPHAR,XNUR,2.)
XFSACCRG  = (XPI/4.0)*XAS*(ZRHO00**XCEXVT)
XFNSACCRG = (XPI/4.0)*(ZRHO00**XCEXVT)
!
XLBSACCR1   =    MOMG(XALPHAR,XNUR,2.)*MOMG(XALPHAS,XNUS,XBS)
XLBSACCR2   = 2.*MOMG(XALPHAR,XNUR,1.)*MOMG(XALPHAS,XNUS,XBS+1.)
XLBSACCR3   =                          MOMG(XALPHAS,XNUS,XBS+2.)
XLBNSACCR1  =    MOMG(XALPHAR,XNUR,2.)                             
XLBNSACCR2  = 2.*MOMG(XALPHAR,XNUR,1.)*MOMG(XALPHAS,XNUS,1.)      
XLBNSACCR3  =                          MOMG(XALPHAS,XNUS,2.)
!
!*       7.2.1  Defining the ranges for the computation of the kernels
!
! Notice: One magnitude of lambda discretized over 10 points for rain
! Notice: One magnitude of lambda discretized over 10 points for snow
!
PARAM_LIMA_MIXED%NACCLBDAS = 40
PARAM_LIMA_MIXED%XACCLBDAS_MIN = 5.0E1*XTRANS_MP_GAMMAS !5.0E1*XTRANS_MP_GAMMAS ! Minimal value of Lbda_s to tabulate XKER_RACCS
PARAM_LIMA_MIXED%XACCLBDAS_MAX = 5.0E5*XTRANS_MP_GAMMAS !5.0E5*XTRANS_MP_GAMMAS ! Maximal value of Lbda_s to tabulate XKER_RACCS
ZRATE = LOG(XACCLBDAS_MAX/XACCLBDAS_MIN)/FLOAT(NACCLBDAS-1)
PARAM_LIMA_MIXED%XACCINTP1S = 1.0 / ZRATE
PARAM_LIMA_MIXED%XACCINTP2S = 1.0 - LOG( XACCLBDAS_MIN ) / ZRATE
PARAM_LIMA_MIXED%NACCLBDAR = 40
PARAM_LIMA_MIXED%XACCLBDAR_MIN = 1.0E3 ! Minimal value of Lbda_r to tabulate XKER_RACCS
PARAM_LIMA_MIXED%XACCLBDAR_MAX = 1.0E7 ! Maximal value of Lbda_r to tabulate XKER_RACCS
ZRATE = LOG(PARAM_LIMA_MIXED%XACCLBDAR_MAX/PARAM_LIMA_MIXED%XACCLBDAR_MIN)/REAL(NACCLBDAR-1)
XACCINTP2R = 1.0 - LOG( PARAM_LIMA_MIXED%XACCLBDAR_MIN ) / ZRATE
!
!*       7.2.2  Computations of the tabulated normalized kernels
!
IND      = 50    ! Interval number, collection efficiency and infinite diameter
ZESR     = 1.0   ! factor used to integrate the dimensional distributions when
ZFDINFTY = 20.0  ! computing the kernels XKER_RACCSS, XKER_RACCS and XKER_SACCRG
!
CALL PARAM_LIMA_MIXED_ALLOCATE('XKER_RACCSS', NACCLBDAS,NACCLBDAR)
CALL PARAM_LIMA_MIXED_ALLOCATE('XKER_RACCS', NACCLBDAS,NACCLBDAR)
CALL PARAM_LIMA_MIXED_ALLOCATE('XKER_SACCRG', NACCLBDAR,NACCLBDAS)
CALL PARAM_LIMA_MIXED_ALLOCATE('XKER_N_RACCSS', NACCLBDAS,NACCLBDAR)
CALL PARAM_LIMA_MIXED_ALLOCATE('XKER_N_RACCS', NACCLBDAS,NACCLBDAR)
CALL PARAM_LIMA_MIXED_ALLOCATE('XKER_N_SACCRG', NACCLBDAR,NACCLBDAS)
CALL NRCOLSS ( IND, XALPHAS, XNUS, XALPHAR, XNUR,                        & 
               ZESR, XCS, XDS, XFVELOS, XCR, XDR,                        & 
               XACCLBDAS_MAX, XACCLBDAR_MAX, XACCLBDAS_MIN, XACCLBDAR_MIN, & 
               ZFDINFTY, XKER_N_RACCSS, XAG, XBS, XAS                      )
CALL NZCOLX  ( IND, XALPHAS, XNUS, XALPHAR, XNUR,                          & 
               ZESR, XCS, XDS, XFVELOS, XCR, XDR, 0.,                      & ! 
               XACCLBDAS_MAX, XACCLBDAR_MAX, XACCLBDAS_MIN, XACCLBDAR_MIN, & 
               ZFDINFTY, XKER_N_RACCS                                      )
CALL NSCOLRG ( IND, XALPHAS, XNUS, XALPHAR, XNUR,                          & 
               ZESR, XCS, XDS, XFVELOS, XCR, XDR,                          & 
               XACCLBDAS_MAX, XACCLBDAR_MAX, XACCLBDAS_MIN, XACCLBDAR_MIN, & 
               ZFDINFTY, XKER_N_SACCRG,XAG, XBS, XAS                       )
!!$WRITE(UNIT=ILUOUT0,FMT='("!")')
!!$WRITE(UNIT=ILUOUT0,FMT='("IF( PRESENT(PKER_N_RACCSS) ) THEN")')          
!!$DO J1 = 1 , NACCLBDAS                                                    
!!$  DO J2 = 1 , NACCLBDAR                                                  
!!$  WRITE(UNIT=ILUOUT0,FMT='("  PKER_N_RACCSS(",I3,",",I3,") = ",E13.6)') &
!!$                    J1,J2,XKER_N_RACCSS(J1,J2)                          
!!$  END DO                                                                
!!$END DO                                                                   
!!$WRITE(UNIT=ILUOUT0,FMT='("!")')                                           
!!$WRITE(UNIT=ILUOUT0,FMT='("!")')
!!$WRITE(UNIT=ILUOUT0,FMT='("IF( PRESENT(PKER_N_RACCS) ) THEN")')          
!!$DO J1 = 1 , NACCLBDAS                                                    
!!$  DO J2 = 1 , NACCLBDAR                                                  
!!$  WRITE(UNIT=ILUOUT0,FMT='("  PKER_N_RACCS(",I3,",",I3,") = ",E13.6)') &
!!$                    J1,J2,XKER_N_RACCS(J1,J2)                          
!!$  END DO                                                                
!!$END DO                                                                   
!!$WRITE(UNIT=ILUOUT0,FMT='("!")') 
!!$WRITE(UNIT=ILUOUT0,FMT='("!")')
!!$WRITE(UNIT=ILUOUT0,FMT='("IF( PRESENT(PKER_N_SACCRG) ) THEN")')          
!!$DO J1 = 1 , NACCLBDAR                                                    
!!$  DO J2 = 1 , NACCLBDAS                                                  
!!$  WRITE(UNIT=ILUOUT0,FMT='("  PKER_N_SACCRG(",I3,",",I3,") = ",E13.6)') &
!!$                    J1,J2,XKER_N_SACCRG(J1,J2)