!WRF:MODEL_MP:PHYSICS
!
MODULE module_mp_etaold 2
!
!-----------------------------------------------------------------------
REAL,PRIVATE,SAVE :: ABFR, CBFR, CIACW, CIACR, C_N0r0, &
& CN0r0, CN0r_DMRmin, CN0r_DMRmax, CRACW, CRAUT, ESW0, &
& RFmax, RQR_DR1, RQR_DR2, RQR_DR3, RQR_DRmin, &
& RQR_DRmax, RR_DRmin, RR_DR1, RR_DR2, RR_DR3, RR_DRmax
!
INTEGER, PRIVATE,PARAMETER :: MY_T1=1, MY_T2=35
REAL,PRIVATE,DIMENSION(MY_T1:MY_T2),SAVE :: MY_GROWTH
!
REAL, PRIVATE,PARAMETER :: DMImin=.05e-3, DMImax=1.e-3, &
& DelDMI=1.e-6,XMImin=1.e6*DMImin
INTEGER, PUBLIC,PARAMETER :: XMImax=1.e6*DMImax, XMIexp=.0536, &
& MDImin=XMImin, MDImax=XMImax
REAL, PRIVATE,DIMENSION(MDImin:MDImax) :: &
& ACCRI,SDENS,VSNOWI,VENTI1,VENTI2
!
REAL, PRIVATE,PARAMETER :: DMRmin=.05e-3, DMRmax=.45e-3, &
& DelDMR=1.e-6,XMRmin=1.e6*DMRmin, XMRmax=1.e6*DMRmax
INTEGER, PRIVATE,PARAMETER :: MDRmin=XMRmin, MDRmax=XMRmax
REAL, PRIVATE,DIMENSION(MDRmin:MDRmax):: &
& ACCRR,MASSR,RRATE,VRAIN,VENTR1,VENTR2
!
INTEGER, PRIVATE,PARAMETER :: Nrime=40
REAL, DIMENSION(2:9,0:Nrime),PRIVATE,SAVE :: VEL_RF
!
INTEGER,PARAMETER :: NX=7501
REAL, PARAMETER :: XMIN=180.0,XMAX=330.0
REAL, DIMENSION(NX),SAVE :: TBPVS,TBPVS0
REAL, SAVE :: C1XPVS0,C2XPVS0,C1XPVS,C2XPVS
!
REAL, PRIVATE,PARAMETER :: &
!--- Physical constants follow:
& CP=1004.6, EPSQ=1.E-12, GRAV=9.806, RHOL=1000., RD=287.04 &
& ,RV=461.5, T0C=273.15, XLS=2.834E6 &
!--- Derived physical constants follow:
& ,EPS=RD/RV, EPS1=RV/RD-1., EPSQ1=1.001*EPSQ &
& ,RCP=1./CP, RCPRV=RCP/RV, RGRAV=1./GRAV, RRHOL=1./RHOL &
& ,XLS1=XLS*RCP, XLS2=XLS*XLS*RCPRV, XLS3=XLS*XLS/RV &
!--- Constants specific to the parameterization follow:
!--- CLIMIT/CLIMIT1 are lower limits for treating accumulated precipitation
& ,CLIMIT=10.*EPSQ, CLIMIT1=-CLIMIT &
& ,C1=1./3. &
& ,DMR1=.1E-3, DMR2=.2E-3, DMR3=.32E-3 &
& ,XMR1=1.e6*DMR1, XMR2=1.e6*DMR2, XMR3=1.e6*DMR3
INTEGER, PARAMETER :: MDR1=XMR1, MDR2=XMR2, MDR3=XMR3
!
! ======================================================================
!--- Important tunable parameters that are exported to other modules
! * RHgrd - threshold relative humidity for onset of condensation
! * T_ICE - temperature (C) threshold at which all remaining liquid water
! is glaciated to ice
! * T_ICE_init - maximum temperature (C) at which ice nucleation occurs
! * NLImax - maximum number concentrations (m**-3) of large ice (snow/graupel/sleet)
! * NLImin - minimum number concentrations (m**-3) of large ice (snow/graupel/sleet)
! * N0r0 - assumed intercept (m**-4) of rain drops if drop diameters are between 0.2 and 0.45 mm
! * N0rmin - minimum intercept (m**-4) for rain drops
! * NCW - number concentrations of cloud droplets (m**-3)
! * FLARGE1, FLARGE2 - number fraction of large ice to total (large+snow) ice
! at T>0C and in presence of sublimation (FLARGE1), otherwise in
! presence of ice saturated/supersaturated conditions
! ======================================================================
REAL, PUBLIC,PARAMETER :: &
& RHgrd=1. &
& ,T_ICE=-40. &
& ,T_ICEK=T0C+T_ICE &
& ,T_ICE_init=-5. &
& ,NLImax=5.E3 &
& ,NLImin=1.E3 &
& ,N0r0=8.E6 &
& ,N0rmin=1.E4 &
& ,NCW=100.E6 &
& ,FLARGE1=1. &
& ,FLARGE2=.03 ! Improved simulated GOES radiances
!--- Other public variables passed to other routines:
REAL,PUBLIC,SAVE :: QAUT0
REAL, PUBLIC,DIMENSION(MDImin:MDImax) :: MASSI
!
!
CONTAINS
!-----------------------------------------------------------------------
!-----------------------------------------------------------------------
SUBROUTINE ETAMP_OLD (itimestep,DT,DX,DY, & 1,1
& dz8w,rho_phy,p_phy,pi_phy,th_phy,qv,qt, &
& LOWLYR,SR, &
& F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY, &
& QC,QR,QS, &
& mp_restart_state,tbpvs_state,tbpvs0_state, &
& RAINNC,RAINNCV, &
& ids,ide, jds,jde, kds,kde, &
& ims,ime, jms,jme, kms,kme, &
& its,ite, jts,jte, kts,kte )
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
INTEGER, PARAMETER :: ITLO=-60, ITHI=40
INTEGER,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE &
& ,IMS,IME,JMS,JME,KMS,KME &
& ,ITS,ITE,JTS,JTE,KTS,KTE &
& ,ITIMESTEP
REAL, INTENT(IN) :: DT,DX,DY
REAL, INTENT(IN), DIMENSION(ims:ime, kms:kme, jms:jme):: &
& dz8w,p_phy,pi_phy,rho_phy
REAL, INTENT(INOUT), DIMENSION(ims:ime, kms:kme, jms:jme):: &
& th_phy,qv,qt
REAL, INTENT(INOUT), DIMENSION(ims:ime, kms:kme, jms:jme ) :: &
& qc,qr,qs
REAL, INTENT(INOUT), DIMENSION(ims:ime, kms:kme, jms:jme ) :: &
& F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY
REAL, INTENT(INOUT), DIMENSION(ims:ime,jms:jme) :: &
& RAINNC,RAINNCV
REAL, INTENT(OUT), DIMENSION(ims:ime,jms:jme):: SR
!
REAL,DIMENSION(*),INTENT(INOUT) :: MP_RESTART_STATE
!
REAL,DIMENSION(nx),INTENT(INOUT) :: TBPVS_STATE,TBPVS0_STATE
!
INTEGER, DIMENSION( ims:ime, jms:jme ),INTENT(INOUT) :: LOWLYR
!-----------------------------------------------------------------------
! LOCAL VARS
!-----------------------------------------------------------------------
! NSTATS,QMAX,QTOT are diagnostic vars
INTEGER,DIMENSION(ITLO:ITHI,4) :: NSTATS
REAL, DIMENSION(ITLO:ITHI,5) :: QMAX
REAL, DIMENSION(ITLO:ITHI,22):: QTOT
! SOME VARS WILL BE USED FOR DATA ASSIMILATION (DON'T NEED THEM NOW).
! THEY ARE TREATED AS LOCAL VARS, BUT WILL BECOME STATE VARS IN THE
! FUTURE. SO, WE DECLARED THEM AS MEMORY SIZES FOR THE FUTURE USE
! TLATGS_PHY,TRAIN_PHY,APREC,PREC,ACPREC,SR are not directly related
! the microphysics scheme. Instead, they will be used by Eta precip
! assimilation.
REAL, DIMENSION( ims:ime, kms:kme, jms:jme ) :: &
& TLATGS_PHY,TRAIN_PHY
REAL, DIMENSION(ims:ime,jms:jme):: APREC,PREC,ACPREC
REAL, DIMENSION(its:ite, kts:kte, jts:jte):: t_phy
INTEGER :: I,J,K,KFLIP
REAL :: WC
!
!-----------------------------------------------------------------------
!**********************************************************************
!-----------------------------------------------------------------------
!
MY_GROWTH(MY_T1:MY_T2)=MP_RESTART_STATE(MY_T1:MY_T2)
!
C1XPVS0=MP_RESTART_STATE(MY_T2+1)
C2XPVS0=MP_RESTART_STATE(MY_T2+2)
C1XPVS =MP_RESTART_STATE(MY_T2+3)
C2XPVS =MP_RESTART_STATE(MY_T2+4)
CIACW =MP_RESTART_STATE(MY_T2+5)
CIACR =MP_RESTART_STATE(MY_T2+6)
CRACW =MP_RESTART_STATE(MY_T2+7)
CRAUT =MP_RESTART_STATE(MY_T2+8)
!
TBPVS(1:NX) =TBPVS_STATE(1:NX)
TBPVS0(1:NX)=TBPVS0_STATE(1:NX)
!
DO j = jts,jte
DO k = kts,kte
DO i = its,ite
t_phy(i,k,j) = th_phy(i,k,j)*pi_phy(i,k,j)
qv(i,k,j)=qv(i,k,j)/(1.+qv(i,k,j)) !Convert to specific humidity
ENDDO
ENDDO
ENDDO
! initial diagnostic variables and data assimilation vars
! (will need to delete this part in the future)
DO k = 1,4
DO i = ITLO,ITHI
NSTATS(i,k)=0.
ENDDO
ENDDO
DO k = 1,5
DO i = ITLO,ITHI
QMAX(i,k)=0.
ENDDO
ENDDO
DO k = 1,22
DO i = ITLO,ITHI
QTOT(i,k)=0.
ENDDO
ENDDO
! initial data assimilation vars (will need to delete this part in the future)
DO j = jts,jte
DO k = kts,kte
DO i = its,ite
TLATGS_PHY (i,k,j)=0.
TRAIN_PHY (i,k,j)=0.
ENDDO
ENDDO
ENDDO
DO j = jts,jte
DO i = its,ite
ACPREC(i,j)=0.
APREC (i,j)=0.
PREC (i,j)=0.
SR (i,j)=0.
ENDDO
ENDDO
!-- NOTE: ARW QT has been advected, while QR, QS and QC have not
!
!-- Update QT, F_ice, F_rain arrays for WRF NMM only
#if (NMM_CORE==1)
!
!-- NOTE: The total ice array in this code is "QS" because the vast
! majority of the ice mass is in the form of snow, and using
! the "QS" array should result in better coupling with the
! Dudhia SW package. NMM calls microphysics after other
! physics, so use updated QR, QS and QC to update QT array.
!
DO j = jts,jte
DO k = kts,kte
DO i = its,ite
QT(I,K,J)=QC(I,K,J)+QR(I,K,J)+QS(I,K,J)
IF (QS(I,K,J) <= EPSQ) THEN
F_ICE_PHY(I,K,J)=0.
IF (T_PHY(I,K,J) < T_ICEK) F_ICE_PHY(I,K,J)=1.
ELSE
F_ICE_PHY(I,K,J)=MAX( 0., MIN(1., QS(I,K,J)/QT(I,K,J) ) )
ENDIF
IF (QR(I,K,J) <= EPSQ) THEN
F_RAIN_PHY(I,K,J)=0.
ELSE
F_RAIN_PHY(I,K,J)=QR(I,K,J)/(QC(I,K,J)+QR(I,K,J))
ENDIF
ENDDO
ENDDO
ENDDO
#endif
!-----------------------------------------------------------------------
CALL EGCP01DRV
(DT,LOWLYR, &
& APREC,PREC,ACPREC,SR,NSTATS,QMAX,QTOT, &
& dz8w,rho_phy,qt,t_phy,qv,F_ICE_PHY,P_PHY, &
& F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY,TRAIN_PHY, &
& ids,ide, jds,jde, kds,kde, &
& ims,ime, jms,jme, kms,kme, &
& its,ite, jts,jte, kts,kte )
!-----------------------------------------------------------------------
DO j = jts,jte
DO k = kts,kte
DO i = its,ite
th_phy(i,k,j) = t_phy(i,k,j)/pi_phy(i,k,j)
qv(i,k,j)=qv(i,k,j)/(1.-qv(i,k,j)) !Convert to mixing ratio
WC=qt(I,K,J)
QS(I,K,J)=0.
QR(I,K,J)=0.
QC(I,K,J)=0.
IF(F_ICE_PHY(I,K,J)>=1.)THEN
QS(I,K,J)=WC
ELSEIF(F_ICE_PHY(I,K,J)<=0.)THEN
QC(I,K,J)=WC
ELSE
QS(I,K,J)=F_ICE_PHY(I,K,J)*WC
QC(I,K,J)=WC-QS(I,K,J)
ENDIF
!
IF(QC(I,K,J)>0..AND.F_RAIN_PHY(I,K,J)>0.)THEN
IF(F_RAIN_PHY(I,K,J).GE.1.)THEN
QR(I,K,J)=QC(I,K,J)
QC(I,K,J)=0.
ELSE
QR(I,K,J)=F_RAIN_PHY(I,K,J)*QC(I,K,J)
QC(I,K,J)=QC(I,K,J)-QR(I,K,J)
ENDIF
ENDIF
ENDDO
ENDDO
ENDDO
!
! update rain (from m to mm)
DO j=jts,jte
DO i=its,ite
RAINNC(i,j)=APREC(i,j)*1000.+RAINNC(i,j)
RAINNCV(i,j)=APREC(i,j)*1000.
ENDDO
ENDDO
!
MP_RESTART_STATE(MY_T1:MY_T2)=MY_GROWTH(MY_T1:MY_T2)
MP_RESTART_STATE(MY_T2+1)=C1XPVS0
MP_RESTART_STATE(MY_T2+2)=C2XPVS0
MP_RESTART_STATE(MY_T2+3)=C1XPVS
MP_RESTART_STATE(MY_T2+4)=C2XPVS
MP_RESTART_STATE(MY_T2+5)=CIACW
MP_RESTART_STATE(MY_T2+6)=CIACR
MP_RESTART_STATE(MY_T2+7)=CRACW
MP_RESTART_STATE(MY_T2+8)=CRAUT
!
TBPVS_STATE(1:NX) =TBPVS(1:NX)
TBPVS0_STATE(1:NX)=TBPVS0(1:NX)
!-----------------------------------------------------------------------
END SUBROUTINE ETAMP_OLD
!-----------------------------------------------------------------------
SUBROUTINE EGCP01DRV( & 3,3
& DTPH,LOWLYR,APREC,PREC,ACPREC,SR, &
& NSTATS,QMAX,QTOT, &
& dz8w,RHO_PHY,CWM_PHY,T_PHY,Q_PHY,F_ICE_PHY,P_PHY, &
& F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY,TRAIN_PHY, &
& ids,ide, jds,jde, kds,kde, &
& ims,ime, jms,jme, kms,kme, &
& its,ite, jts,jte, kts,kte)
!-----------------------------------------------------------------------
! DTPH Physics time step (s)
! CWM_PHY (qt) Mixing ratio of the total condensate. kg/kg
! Q_PHY Mixing ratio of water vapor. kg/kg
! F_RAIN_PHY Fraction of rain.
! F_ICE_PHY Fraction of ice.
! F_RIMEF_PHY Mass ratio of rimed ice (rime factor).
!
!TLATGS_PHY,TRAIN_PHY,APREC,PREC,ACPREC,SR are not directly related the
!micrphysics sechme. Instead, they will be used by Eta precip assimilation.
!
!NSTATS,QMAX,QTOT are used for diagnosis purposes.
!
!-----------------------------------------------------------------------
!--- Variables APREC,PREC,ACPREC,SR are calculated for precip assimilation
! and/or ZHAO's scheme in Eta and are not required by this microphysics
! scheme itself.
!--- NSTATS,QMAX,QTOT are used for diagnosis purposes only. They will be
! printed out when PRINT_diag is true.
!
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
!
INTEGER, PARAMETER :: ITLO=-60, ITHI=40
LOGICAL, PARAMETER :: PRINT_diag=.FALSE.
! VARIABLES PASSED IN/OUT
INTEGER,INTENT(IN ) :: ids,ide, jds,jde, kds,kde &
& ,ims,ime, jms,jme, kms,kme &
& ,its,ite, jts,jte, kts,kte
REAL,INTENT(IN) :: DTPH
INTEGER, DIMENSION( ims:ime, jms:jme ),INTENT(INOUT) :: LOWLYR
INTEGER,DIMENSION(ITLO:ITHI,4),INTENT(INOUT) :: NSTATS
REAL,DIMENSION(ITLO:ITHI,5),INTENT(INOUT) :: QMAX
REAL,DIMENSION(ITLO:ITHI,22),INTENT(INOUT) :: QTOT
REAL,DIMENSION(ims:ime,jms:jme),INTENT(INOUT) :: &
& APREC,PREC,ACPREC,SR
REAL,DIMENSION( its:ite, kts:kte, jts:jte ),INTENT(INOUT) :: t_phy
REAL,DIMENSION( ims:ime, kms:kme, jms:jme ),INTENT(IN) :: &
& dz8w,P_PHY,RHO_PHY
REAL,DIMENSION( ims:ime, kms:kme, jms:jme ),INTENT(INOUT) :: &
& CWM_PHY, F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY &
& ,Q_PHY,TRAIN_PHY
!
!-----------------------------------------------------------------------
!LOCAL VARIABLES
!-----------------------------------------------------------------------
!
#define CACHE_FRIENDLY_MP_ETAOLD
#ifdef CACHE_FRIENDLY_MP_ETAOLD
# define TEMP_DIMS kts:kte,its:ite,jts:jte
# define TEMP_DEX L,I,J
#else
# define TEMP_DIMS its:ite,jts:jte,kts:kte
# define TEMP_DEX I,J,L
#endif
!
INTEGER :: LSFC,I,J,I_index,J_index,L,K,KFLIP
REAL,DIMENSION(TEMP_DIMS) :: CWM,T,Q,TRAIN,TLATGS,P
REAL,DIMENSION(kts:kte,its:ite,jts:jte) :: F_ice,F_rain,F_RimeF
INTEGER,DIMENSION(its:ite,jts:jte) :: LMH
REAL :: TC,WC,QI,QR,QW,Fice,Frain,DUM,ASNOW,ARAIN
REAL,DIMENSION(kts:kte) :: P_col,Q_col,T_col,QV_col,WC_col, &
RimeF_col,QI_col,QR_col,QW_col, THICK_col,DPCOL
REAL,DIMENSION(2) :: PRECtot,PRECmax
!-----------------------------------------------------------------------
!
DO J=JTS,JTE
DO I=ITS,ITE
LMH(I,J) = KTE-LOWLYR(I,J)+1
ENDDO
ENDDO
DO 98 J=JTS,JTE
DO 98 I=ITS,ITE
DO L=KTS,KTE
KFLIP=KTE+1-L
CWM(TEMP_DEX)=CWM_PHY(I,KFLIP,J)
T(TEMP_DEX)=T_PHY(I,KFLIP,J)
Q(TEMP_DEX)=Q_PHY(I,KFLIP,J)
P(TEMP_DEX)=P_PHY(I,KFLIP,J)
TLATGS(TEMP_DEX)=TLATGS_PHY(I,KFLIP,J)
TRAIN(TEMP_DEX)=TRAIN_PHY(I,KFLIP,J)
F_ice(L,I,J)=F_ice_PHY(I,KFLIP,J)
F_rain(L,I,J)=F_rain_PHY(I,KFLIP,J)
F_RimeF(L,I,J)=F_RimeF_PHY(I,KFLIP,J)
ENDDO
98 CONTINUE
DO 100 J=JTS,JTE
DO 100 I=ITS,ITE
LSFC=LMH(I,J) ! "L" of surface
!
DO K=KTS,KTE
KFLIP=KTE+1-K
DPCOL(K)=RHO_PHY(I,KFLIP,J)*GRAV*dz8w(I,KFLIP,J)
ENDDO
!
!
!--- Initialize column data (1D arrays)
!
L=1
IF (CWM(TEMP_DEX) .LE. EPSQ) CWM(TEMP_DEX)=EPSQ
F_ice(1,I,J)=1.
F_rain(1,I,J)=0.
F_RimeF(1,I,J)=1.
DO L=1,LSFC
!
!--- Pressure (Pa) = (Psfc-Ptop)*(ETA/ETA_sfc)+Ptop
!
P_col(L)=P(TEMP_DEX)
!
!--- Layer thickness = RHO*DZ = -DP/G = (Psfc-Ptop)*D_ETA/(G*ETA_sfc)
!
THICK_col(L)=DPCOL(L)*RGRAV
T_col(L)=T(TEMP_DEX)
TC=T_col(L)-T0C
QV_col(L)=max(EPSQ, Q(TEMP_DEX))
IF (CWM(TEMP_DEX) .LE. EPSQ1) THEN
WC_col(L)=0.
IF (TC .LT. T_ICE) THEN
F_ice(L,I,J)=1.
ELSE
F_ice(L,I,J)=0.
ENDIF
F_rain(L,I,J)=0.
F_RimeF(L,I,J)=1.
ELSE
WC_col(L)=CWM(TEMP_DEX)
ENDIF
!
!--- Determine composition of condensate in terms of
! cloud water, ice, & rain
!
WC=WC_col(L)
QI=0.
QR=0.
QW=0.
Fice=F_ice(L,I,J)
Frain=F_rain(L,I,J)
IF (Fice .GE. 1.) THEN
QI=WC
ELSE IF (Fice .LE. 0.) THEN
QW=WC
ELSE
QI=Fice*WC
QW=WC-QI
ENDIF
IF (QW.GT.0. .AND. Frain.GT.0.) THEN
IF (Frain .GE. 1.) THEN
QR=QW
QW=0.
ELSE
QR=Frain*QW
QW=QW-QR
ENDIF
ENDIF
IF (QI .LE. 0.) F_RimeF(L,I,J)=1.
RimeF_col(L)=F_RimeF(L,I,J) ! (real)
QI_col(L)=QI
QR_col(L)=QR
QW_col(L)=QW
ENDDO
!
!#######################################################################
!
!--- Perform the microphysical calculations in this column
!
I_index=I
J_index=J
CALL EGCP01COLUMN ( ARAIN, ASNOW, DTPH, I_index, J_index, LSFC, &
& P_col, QI_col, QR_col, QV_col, QW_col, RimeF_col, T_col, &
& THICK_col, WC_col,KTS,KTE,NSTATS,QMAX,QTOT )
!
!#######################################################################
!
!
!--- Update storage arrays
!
DO L=1,LSFC
TRAIN(TEMP_DEX)=(T_col(L)-T(TEMP_DEX))/DTPH
TLATGS(TEMP_DEX)=T_col(L)-T(TEMP_DEX)
T(TEMP_DEX)=T_col(L)
Q(TEMP_DEX)=QV_col(L)
CWM(TEMP_DEX)=WC_col(L)
!
!--- REAL*4 array storage
!
IF (QI_col(L) .LE. EPSQ) THEN
F_ice(L,I,J)=0.
IF (T_col(L) .LT. T_ICEK) F_ice(L,I,J)=1.
F_RimeF(L,I,J)=1.
ELSE
F_ice(L,I,J)=MAX( 0., MIN(1., QI_col(L)/WC_col(L)) )
F_RimeF(L,I,J)=MAX(1., RimeF_col(L))
ENDIF
IF (QR_col(L) .LE. EPSQ) THEN
DUM=0
ELSE
DUM=QR_col(L)/(QR_col(L)+QW_col(L))
ENDIF
F_rain(L,I,J)=DUM
!
ENDDO
!
!--- Update accumulated precipitation statistics
!
!--- Surface precipitation statistics; SR is fraction of surface
! precipitation (if >0) associated with snow
!
APREC(I,J)=(ARAIN+ASNOW)*RRHOL ! Accumulated surface precip (depth in m) !<--- Ying
PREC(I,J)=PREC(I,J)+APREC(I,J)
ACPREC(I,J)=ACPREC(I,J)+APREC(I,J)
IF(APREC(I,J) .LT. 1.E-8) THEN
SR(I,J)=0.
ELSE
SR(I,J)=RRHOL*ASNOW/APREC(I,J)
ENDIF
!
!--- Debug statistics
!
IF (PRINT_diag) THEN
PRECtot(1)=PRECtot(1)+ARAIN
PRECtot(2)=PRECtot(2)+ASNOW
PRECmax(1)=MAX(PRECmax(1), ARAIN)
PRECmax(2)=MAX(PRECmax(2), ASNOW)
ENDIF
!#######################################################################
!#######################################################################
!
100 CONTINUE ! End "I" & "J" loops
DO 101 J=JTS,JTE
DO 101 I=ITS,ITE
DO L=KTS,KTE
KFLIP=KTE+1-L
CWM_PHY(I,KFLIP,J)=CWM(TEMP_DEX)
T_PHY(I,KFLIP,J)=T(TEMP_DEX)
Q_PHY(I,KFLIP,J)=Q(TEMP_DEX)
TLATGS_PHY(I,KFLIP,J)=TLATGS(TEMP_DEX)
TRAIN_PHY(I,KFLIP,J)=TRAIN(TEMP_DEX)
F_ice_PHY(I,KFLIP,J)=F_ice(L,I,J)
F_rain_PHY(I,KFLIP,J)=F_rain(L,I,J)
F_RimeF_PHY(I,KFLIP,J)=F_RimeF(L,I,J)
ENDDO
101 CONTINUE
END SUBROUTINE EGCP01DRV
!
!
!###############################################################################
! ***** VERSION OF MICROPHYSICS DESIGNED FOR HIGHER RESOLUTION MESO ETA MODEL
! (1) Represents sedimentation by preserving a portion of the precipitation
! through top-down integration from cloud-top. Modified procedure to
! Zhao and Carr (1997).
! (2) Microphysical equations are modified to be less sensitive to time
! steps by use of Clausius-Clapeyron equation to account for changes in
! saturation mixing ratios in response to latent heating/cooling.
! (3) Prevent spurious temperature oscillations across 0C due to
! microphysics.
! (4) Uses lookup tables for: calculating two different ventilation
! coefficients in condensation and deposition processes; accretion of
! cloud water by precipitation; precipitation mass; precipitation rate
! (and mass-weighted precipitation fall speeds).
! (5) Assumes temperature-dependent variation in mean diameter of large ice
! (Houze et al., 1979; Ryan et al., 1996).
! -> 8/22/01: This relationship has been extended to colder temperatures
! to parameterize smaller large-ice particles down to mean sizes of MDImin,
! which is 50 microns reached at -55.9C.
! (6) Attempts to differentiate growth of large and small ice, mainly for
! improved transition from thin cirrus to thick, precipitating ice
! anvils.
! -> 8/22/01: This feature has been diminished by effectively adjusting to
! ice saturation during depositional growth at temperatures colder than
! -10C. Ice sublimation is calculated more explicitly. The logic is
! that sources of are either poorly understood (e.g., nucleation for NWP)
! or are not represented in the Eta model (e.g., detrainment of ice from
! convection). Otherwise the model is too wet compared to the radiosonde
! observations based on 1 Feb - 18 March 2001 retrospective runs.
! (7) Top-down integration also attempts to treat mixed-phase processes,
! allowing a mixture of ice and water. Based on numerous observational
! studies, ice growth is based on nucleation at cloud top &
! subsequent growth by vapor deposition and riming as the ice particles
! fall through the cloud. Effective nucleation rates are a function
! of ice supersaturation following Meyers et al. (JAM, 1992).
! -> 8/22/01: The simulated relative humidities were far too moist compared
! to the rawinsonde observations. This feature has been substantially
! diminished, limited to a much narrower temperature range of 0 to -10C.
! (8) Depositional growth of newly nucleated ice is calculated for large time
! steps using Fig. 8 of Miller and Young (JAS, 1979), at 1 deg intervals
! using their ice crystal masses calculated after 600 s of growth in water
! saturated conditions. The growth rates are normalized by time step
! assuming 3D growth with time**1.5 following eq. (6.3) in Young (1993).
! -> 8/22/01: This feature has been effectively limited to 0 to -10C.
! (9) Ice precipitation rates can increase due to increase in response to
! cloud water riming due to (a) increased density & mass of the rimed
! ice, and (b) increased fall speeds of rimed ice.
! -> 8/22/01: This feature has been effectively limited to 0 to -10C.
!###############################################################################
!###############################################################################
!
SUBROUTINE EGCP01COLUMN ( ARAIN, ASNOW, DTPH, I_index, J_index, & 3
& LSFC, P_col, QI_col, QR_col, QV_col, QW_col, RimeF_col, T_col, &
& THICK_col, WC_col ,KTS,KTE,NSTATS,QMAX,QTOT)
!
!###############################################################################
!###############################################################################
!
!-------------------------------------------------------------------------------
!----- NOTE: Code is currently set up w/o threading!
!-------------------------------------------------------------------------------
!$$$ SUBPROGRAM DOCUMENTATION BLOCK
! . . .
! SUBPROGRAM: Grid-scale microphysical processes - condensation & precipitation
! PRGRMMR: Ferrier ORG: W/NP22 DATE: 08-2001
! PRGRMMR: Jin (Modification for WRF structure)
!-------------------------------------------------------------------------------
! ABSTRACT:
! * Merges original GSCOND & PRECPD subroutines.
! * Code has been substantially streamlined and restructured.
! * Exchange between water vapor & small cloud condensate is calculated using
! the original Asai (1965, J. Japan) algorithm. See also references to
! Yau and Austin (1979, JAS), Rutledge and Hobbs (1983, JAS), and Tao et al.
! (1989, MWR). This algorithm replaces the Sundqvist et al. (1989, MWR)
! parameterization.
!-------------------------------------------------------------------------------
!
! USAGE:
! * CALL EGCP01COLUMN FROM SUBROUTINE EGCP01DRV
!
! INPUT ARGUMENT LIST:
! DTPH - physics time step (s)
! I_index - I index
! J_index - J index
! LSFC - Eta level of level above surface, ground
! P_col - vertical column of model pressure (Pa)
! QI_col - vertical column of model ice mixing ratio (kg/kg)
! QR_col - vertical column of model rain ratio (kg/kg)
! QV_col - vertical column of model water vapor specific humidity (kg/kg)
! QW_col - vertical column of model cloud water mixing ratio (kg/kg)
! RimeF_col - vertical column of rime factor for ice in model (ratio, defined below)
! T_col - vertical column of model temperature (deg K)
! THICK_col - vertical column of model mass thickness (density*height increment)
! WC_col - vertical column of model mixing ratio of total condensate (kg/kg)
!
!
! OUTPUT ARGUMENT LIST:
! ARAIN - accumulated rainfall at the surface (kg)
! ASNOW - accumulated snowfall at the surface (kg)
! QV_col - vertical column of model water vapor specific humidity (kg/kg)
! WC_col - vertical column of model mixing ratio of total condensate (kg/kg)
! QW_col - vertical column of model cloud water mixing ratio (kg/kg)
! QI_col - vertical column of model ice mixing ratio (kg/kg)
! QR_col - vertical column of model rain ratio (kg/kg)
! RimeF_col - vertical column of rime factor for ice in model (ratio, defined below)
! T_col - vertical column of model temperature (deg K)
!
! OUTPUT FILES:
! NONE
!
! Subprograms & Functions called:
! * Real Function CONDENSE - cloud water condensation
! * Real Function DEPOSIT - ice deposition (not sublimation)
!
! UNIQUE: NONE
!
! LIBRARY: NONE
!
! COMMON BLOCKS:
! CMICRO_CONS - key constants initialized in GSMCONST
! CMICRO_STATS - accumulated and maximum statistics
! CMY_GROWTH - lookup table for growth of ice crystals in
! water saturated conditions (Miller & Young, 1979)
! IVENT_TABLES - lookup tables for ventilation effects of ice
! IACCR_TABLES - lookup tables for accretion rates of ice
! IMASS_TABLES - lookup tables for mass content of ice
! IRATE_TABLES - lookup tables for precipitation rates of ice
! IRIME_TABLES - lookup tables for increase in fall speed of rimed ice
! RVENT_TABLES - lookup tables for ventilation effects of rain
! RACCR_TABLES - lookup tables for accretion rates of rain
! RMASS_TABLES - lookup tables for mass content of rain
! RVELR_TABLES - lookup tables for fall speeds of rain
! RRATE_TABLES - lookup tables for precipitation rates of rain
!
! ATTRIBUTES:
! LANGUAGE: FORTRAN 90
! MACHINE : IBM SP
!
!
!-------------------------------------------------------------------------
!--------------- Arrays & constants in argument list ---------------------
!-------------------------------------------------------------------------
!
IMPLICIT NONE
!
INTEGER,INTENT(IN) :: KTS,KTE,I_index, J_index, LSFC
REAL,INTENT(INOUT) :: ARAIN, ASNOW
REAL,DIMENSION(KTS:KTE),INTENT(INOUT) :: P_col, QI_col,QR_col &
& ,QV_col ,QW_col, RimeF_col, T_col, THICK_col,WC_col
!
!-------------------------------------------------------------------------
!-------------- Common blocks for microphysical statistics ---------------
!-------------------------------------------------------------------------
!
!-------------------------------------------------------------------------
!--------- Common blocks for constants initialized in GSMCONST ----------
!
INTEGER, PARAMETER :: ITLO=-60, ITHI=40
INTEGER,INTENT(INOUT) :: NSTATS(ITLO:ITHI,4)
REAL,INTENT(INOUT) :: QMAX(ITLO:ITHI,5),QTOT(ITLO:ITHI,22)
!
!-------------------------------------------------------------------------
!--------------- Common blocks for various lookup tables -----------------
!
!--- Discretized growth rates of small ice crystals after their nucleation
! at 1 C intervals from -1 C to -35 C, based on calculations by Miller
! and Young (1979, JAS) after 600 s of growth. Resultant growth rates
! are multiplied by physics time step in GSMCONST.
!
!-------------------------------------------------------------------------
!
!--- Mean ice-particle diameters varying from 50 microns to 1000 microns
! (1 mm), assuming an exponential size distribution.
!
!---- Meaning of the following arrays:
! - mdiam - mean diameter (m)
! - VENTI1 - integrated quantity associated w/ ventilation effects
! (capacitance only) for calculating vapor deposition onto ice
! - VENTI2 - integrated quantity associated w/ ventilation effects
! (with fall speed) for calculating vapor deposition onto ice
! - ACCRI - integrated quantity associated w/ cloud water collection by ice
! - MASSI - integrated quantity associated w/ ice mass
! - VSNOWI - mass-weighted fall speed of snow (large ice), used to calculate
! precipitation rates
!
!
!-------------------------------------------------------------------------
!
!--- VEL_RF - velocity increase of rimed particles as functions of crude
! particle size categories (at 0.1 mm intervals of mean ice particle
! sizes) and rime factor (different values of Rime Factor of 1.1**N,
! where N=0 to Nrime).
!
!-------------------------------------------------------------------------
!
!--- Mean rain drop diameters varying from 50 microns (0.05 mm) to 450 microns
! (0.45 mm), assuming an exponential size distribution.
!
!-------------------------------------------------------------------------
!------- Key parameters, local variables, & important comments ---------
!-----------------------------------------------------------------------
!
!--- TOLER => Tolerance or precision for accumulated precipitation
!
REAL, PARAMETER :: TOLER=5.E-7, C2=1./6., RHO0=1.194, Xratio=.025
!
!--- If BLEND=1:
! precipitation (large) ice amounts are estimated at each level as a
! blend of ice falling from the grid point above and the precip ice
! present at the start of the time step (see TOT_ICE below).
!--- If BLEND=0:
! precipitation (large) ice amounts are estimated to be the precip
! ice present at the start of the time step.
!
!--- Extended to include sedimentation of rain on 2/5/01
!
REAL, PARAMETER :: BLEND=1.
!
!--- This variable is for debugging purposes (if .true.)
!
LOGICAL, PARAMETER :: PRINT_diag=.FALSE.
!
!-----------------------------------------------------------------------
!--- Local variables
!-----------------------------------------------------------------------
!
REAL EMAIRI, N0r, NLICE, NSmICE
LOGICAL CLEAR, ICE_logical, DBG_logical, RAIN_logical
INTEGER :: IDR,INDEX_MY,INDEXR,INDEXR1,INDEXS,IPASS,ITDX,IXRF, &
& IXS,LBEF,L
!
REAL :: ABI,ABW,AIEVP,ARAINnew,ASNOWnew,BLDTRH,BUDGET, &
& CREVP,DELI,DELR,DELT,DELV,DELW,DENOMF, &
& DENOMI,DENOMW,DENOMWI,DIDEP, &
& DIEVP,DIFFUS,DLI,DTPH,DTRHO,DUM,DUM1, &
& DUM2,DWV0,DWVI,DWVR,DYNVIS,ESI,ESW,FIR,FLARGE,FLIMASS, &
& FSMALL,FWR,FWS,GAMMAR,GAMMAS, &
& PCOND,PIACR,PIACW,PIACWI,PIACWR,PICND,PIDEP,PIDEP_max, &
& PIEVP,PILOSS,PIMLT,PP,PRACW,PRAUT,PREVP,PRLOSS, &
& QI,QInew,QLICE,QR,QRnew,QSI,QSIgrd,QSInew,QSW,QSW0, &
& QSWgrd,QSWnew,QT,QTICE,QTnew,QTRAIN,QV,QW,QW0,QWnew, &
& RFACTOR,RHO,RIMEF,RIMEF1,RQR,RR,RRHO,SFACTOR, &
& TC,TCC,TFACTOR,THERM_COND,THICK,TK,TK2,TNEW, &
& TOT_ICE,TOT_ICEnew,TOT_RAIN,TOT_RAINnew, &
& VEL_INC,VENTR,VENTIL,VENTIS,VRAIN1,VRAIN2,VRIMEF,VSNOW, &
& WC,WCnew,WSgrd,WS,WSnew,WV,WVnew,WVQW, &
& XLF,XLF1,XLI,XLV,XLV1,XLV2,XLIMASS,XRF,XSIMASS
!
!#######################################################################
!########################## Begin Execution ############################
!#######################################################################
!
!
ARAIN=0. ! Accumulated rainfall into grid box from above (kg/m**2)
ASNOW=0. ! Accumulated snowfall into grid box from above (kg/m**2)
!
!-----------------------------------------------------------------------
!------------ Loop from top (L=1) to surface (L=LSFC) ------------------
!-----------------------------------------------------------------------
!
DO 10 L=1,LSFC
!--- Skip this level and go to the next lower level if no condensate
! and very low specific humidities
!
IF (QV_col(L).LE.EPSQ .AND. WC_col(L).LE.EPSQ) GO TO 10
!
!-----------------------------------------------------------------------
!------------ Proceed with cloud microphysics calculations -------------
!-----------------------------------------------------------------------
!
TK=T_col(L) ! Temperature (deg K)
TC=TK-T0C ! Temperature (deg C)
PP=P_col(L) ! Pressure (Pa)
QV=QV_col(L) ! Specific humidity of water vapor (kg/kg)
WV=QV/(1.-QV) ! Water vapor mixing ratio (kg/kg)
WC=WC_col(L) ! Grid-scale mixing ratio of total condensate (water or ice; kg/kg)
!
!-----------------------------------------------------------------------
!--- Moisture variables below are mixing ratios & not specifc humidities
!-----------------------------------------------------------------------
!
CLEAR=.TRUE.
!
!--- This check is to determine grid-scale saturation when no condensate is present
!
ESW=MIN(1000.*FPVS0(TK),0.99*PP) ! Saturation vapor pressure w/r/t water
QSW=EPS*ESW/(PP-ESW) ! Saturation mixing ratio w/r/t water
WS=QSW ! General saturation mixing ratio (water/ice)
IF (TC .LT. 0.) THEN
ESI=MIN(1000.*FPVS(TK),0.99*PP) ! Saturation vapor pressure w/r/t ice
QSI=EPS*ESI/(PP-ESI) ! Saturation mixing ratio w/r/t water
WS=QSI ! General saturation mixing ratio (water/ice)
ENDIF
!
!--- Effective grid-scale Saturation mixing ratios
!
QSWgrd=RHgrd*QSW
QSIgrd=RHgrd*QSI
WSgrd=RHgrd*WS
!
!--- Check if air is subsaturated and w/o condensate
!
IF (WV.GT.WSgrd .OR. WC.GT.EPSQ) CLEAR=.FALSE.
!
!--- Check if any rain is falling into layer from above
!
IF (ARAIN .GT. CLIMIT) THEN
CLEAR=.FALSE.
ELSE
ARAIN=0.
ENDIF
!
!--- Check if any ice is falling into layer from above
!
!--- NOTE that "SNOW" in variable names is synonomous with
! large, precipitation ice particles
!
IF (ASNOW .GT. CLIMIT) THEN
CLEAR=.FALSE.
ELSE
ASNOW=0.
ENDIF
!
!-----------------------------------------------------------------------
!-- Loop to the end if in clear, subsaturated air free of condensate ---
!-----------------------------------------------------------------------
!
IF (CLEAR) GO TO 10
!
!-----------------------------------------------------------------------
!--------- Initialize RHO, THICK & microphysical processes -------------
!-----------------------------------------------------------------------
!
!
!--- Virtual temperature, TV=T*(1./EPS-1)*Q, Q is specific humidity;
! (see pp. 63-65 in Fleagle & Businger, 1963)
!
RHO=PP/(RD*TK*(1.+EPS1*QV)) ! Air density (kg/m**3)
RRHO=1./RHO ! Reciprocal of air density
DTRHO=DTPH*RHO ! Time step * air density
BLDTRH=BLEND*DTRHO ! Blend parameter * time step * air density
THICK=THICK_col(L) ! Layer thickness = RHO*DZ = -DP/G = (Psfc-Ptop)*D_ETA/(G*ETA_sfc)
!
ARAINnew=0. ! Updated accumulated rainfall
ASNOWnew=0. ! Updated accumulated snowfall
QI=QI_col(L) ! Ice mixing ratio
QInew=0. ! Updated ice mixing ratio
QR=QR_col(L) ! Rain mixing ratio
QRnew=0. ! Updated rain ratio
QW=QW_col(L) ! Cloud water mixing ratio
QWnew=0. ! Updated cloud water ratio
!
PCOND=0. ! Condensation (>0) or evaporation (<0) of cloud water (kg/kg)
PIDEP=0. ! Deposition (>0) or sublimation (<0) of ice crystals (kg/kg)
PIACW=0. ! Cloud water collection (riming) by precipitation ice (kg/kg; >0)
PIACWI=0. ! Growth of precip ice by riming (kg/kg; >0)
PIACWR=0. ! Shedding of accreted cloud water to form rain (kg/kg; >0)
PIACR=0. ! Freezing of rain onto large ice at supercooled temps (kg/kg; >0)
PICND=0. ! Condensation (>0) onto wet, melting ice (kg/kg)
PIEVP=0. ! Evaporation (<0) from wet, melting ice (kg/kg)
PIMLT=0. ! Melting ice (kg/kg; >0)
PRAUT=0. ! Cloud water autoconversion to rain (kg/kg; >0)
PRACW=0. ! Cloud water collection (accretion) by rain (kg/kg; >0)
PREVP=0. ! Rain evaporation (kg/kg; <0)
!
!--- Double check input hydrometeor mixing ratios
!
! DUM=WC-(QI+QW+QR)
! DUM1=ABS(DUM)
! DUM2=TOLER*MIN(WC, QI+QW+QR)
! IF (DUM1 .GT. DUM2) THEN
! WRITE(6,"(/2(a,i4),a,i2)") '{@ i=',I_index,' j=',J_index,
! & ' L=',L
! WRITE(6,"(4(a12,g11.4,1x))")
! & '{@ TCold=',TC,'P=',.01*PP,'DIFF=',DUM,'WCold=',WC,
! & '{@ QIold=',QI,'QWold=',QW,'QRold=',QR
! ENDIF
!
!***********************************************************************
!*********** MAIN MICROPHYSICS CALCULATIONS NOW FOLLOW! ****************
!***********************************************************************
!
!--- Calculate a few variables, which are used more than once below
!
!--- Latent heat of vaporization as a function of temperature from
! Bolton (1980, JAS)
!
XLV=3.148E6-2370*TK ! Latent heat of vaporization (Lv)
XLF=XLS-XLV ! Latent heat of fusion (Lf)
XLV1=XLV*RCP ! Lv/Cp
XLF1=XLF*RCP ! Lf/Cp
TK2=1./(TK*TK) ! 1./TK**2
XLV2=XLV*XLV*QSW*TK2/RV ! Lv**2*Qsw/(Rv*TK**2)
DENOMW=1.+XLV2*RCP ! Denominator term, Clausius-Clapeyron correction
!
!--- Basic thermodynamic quantities
! * DYNVIS - dynamic viscosity [ kg/(m*s) ]
! * THERM_COND - thermal conductivity [ J/(m*s*K) ]
! * DIFFUS - diffusivity of water vapor [ m**2/s ]
!
TFACTOR=TK**1.5/(TK+120.)
DYNVIS=1.496E-6*TFACTOR
THERM_COND=2.116E-3*TFACTOR
DIFFUS=8.794E-5*TK**1.81/PP
!
!--- Air resistance term for the fall speed of ice following the
! basic research by Heymsfield, Kajikawa, others
!
GAMMAS=(1.E5/PP)**C1
!
!--- Air resistance for rain fall speed (Beard, 1985, JAS, p.470)
!
GAMMAR=(RHO0/RHO)**.4
!
!----------------------------------------------------------------------
!------------- IMPORTANT MICROPHYSICS DECISION TREE -----------------
!----------------------------------------------------------------------
!
!--- Determine if conditions supporting ice are present
!
IF (TC.LT.0. .OR. QI.GT. EPSQ .OR. ASNOW.GT.CLIMIT) THEN
ICE_logical=.TRUE.
ELSE
ICE_logical=.FALSE.
QLICE=0.
QTICE=0.
ENDIF
!
!--- Determine if rain is present
!
RAIN_logical=.FALSE.
IF (ARAIN.GT.CLIMIT .OR. QR.GT.EPSQ) RAIN_logical=.TRUE.
!
IF (ICE_logical) THEN
!
!--- IMPORTANT: Estimate time-averaged properties.
!
!---
! * FLARGE - ratio of number of large ice to total (large & small) ice
! * FSMALL - ratio of number of small ice crystals to large ice particles
! -> Small ice particles are assumed to have a mean diameter of 50 microns.
! * XSIMASS - used for calculating small ice mixing ratio
!---
! * TOT_ICE - total mass (small & large) ice before microphysics,
! which is the sum of the total mass of large ice in the
! current layer and the input flux of ice from above
! * PILOSS - greatest loss (<0) of total (small & large) ice by
! sublimation, removing all of the ice falling from above
! and the ice within the layer
! * RimeF1 - Rime Factor, which is the mass ratio of total (unrimed & rimed)
! ice mass to the unrimed ice mass (>=1)
! * VrimeF - the velocity increase due to rime factor or melting (ratio, >=1)
! * VSNOW - Fall speed of rimed snow w/ air resistance correction
! * EMAIRI - equivalent mass of air associated layer and with fall of snow into layer
! * XLIMASS - used for calculating large ice mixing ratio
! * FLIMASS - mass fraction of large ice
! * QTICE - time-averaged mixing ratio of total ice
! * QLICE - time-averaged mixing ratio of large ice
! * NLICE - time-averaged number concentration of large ice
! * NSmICE - number concentration of small ice crystals at current level
!---
!--- Assumed number fraction of large ice particles to total (large & small)
! ice particles, which is based on a general impression of the literature.
!
WVQW=WV+QW ! Water vapor & cloud water
!
IF (TC.GE.0. .OR. WVQW.LT.QSIgrd) THEN
!
!--- Eliminate small ice particle contributions for melting & sublimation
!
FLARGE=FLARGE1
ELSE
!
!--- Enhanced number of small ice particles during depositional growth
! (effective only when 0C > T >= T_ice [-10C] )
!
FLARGE=FLARGE2
!
!--- Larger number of small ice particles due to rime splintering
!
IF (TC.GE.-8. .AND. TC.LE.-3.) FLARGE=.5*FLARGE
!
ENDIF ! End IF (TC.GE.0. .OR. WVQW.LT.QSIgrd)
FSMALL=(1.-FLARGE)/FLARGE
XSIMASS=RRHO*MASSI(MDImin)*FSMALL
IF (QI.LE.EPSQ .AND. ASNOW.LE.CLIMIT) THEN
INDEXS=MDImin
TOT_ICE=0.
PILOSS=0.
RimeF1=1.
VrimeF=1.
VEL_INC=GAMMAS
VSNOW=0.
EMAIRI=THICK
XLIMASS=RRHO*RimeF1*MASSI(INDEXS)
FLIMASS=XLIMASS/(XLIMASS+XSIMASS)
QLICE=0.
QTICE=0.
NLICE=0.
NSmICE=0.
ELSE
!
!--- For T<0C mean particle size follows Houze et al. (JAS, 1979, p. 160),
! converted from Fig. 5 plot of LAMDAs. Similar set of relationships
! also shown in Fig. 8 of Ryan (BAMS, 1996, p. 66).
!
DUM=XMImax*EXP(.0536*TC)
INDEXS=MIN(MDImax, MAX(MDImin, INT(DUM) ) )
TOT_ICE=THICK*QI+BLEND*ASNOW
PILOSS=-TOT_ICE/THICK
LBEF=MAX(1,L-1)
DUM1=RimeF_col(LBEF)
DUM2=RimeF_col(L)
RimeF1=(DUM2*THICK*QI+DUM1*BLEND*ASNOW)/TOT_ICE
RimeF1=MIN(RimeF1, RFmax)
DO IPASS=0,1
IF (RimeF1 .LE. 1.) THEN
RimeF1=1.
VrimeF=1.
ELSE
IXS=MAX(2, MIN(INDEXS/100, 9))
XRF=10.492*ALOG(RimeF1)
IXRF=MAX(0, MIN(INT(XRF), Nrime))
IF (IXRF .GE. Nrime) THEN
VrimeF=VEL_RF(IXS,Nrime)
ELSE
VrimeF=VEL_RF(IXS,IXRF)+(XRF-FLOAT(IXRF))* &
& (VEL_RF(IXS,IXRF+1)-VEL_RF(IXS,IXRF))
ENDIF
ENDIF ! End IF (RimeF1 .LE. 1.)
VEL_INC=GAMMAS*VrimeF
VSNOW=VEL_INC*VSNOWI(INDEXS)
EMAIRI=THICK+BLDTRH*VSNOW
XLIMASS=RRHO*RimeF1*MASSI(INDEXS)
FLIMASS=XLIMASS/(XLIMASS+XSIMASS)
QTICE=TOT_ICE/EMAIRI
QLICE=FLIMASS*QTICE
NLICE=QLICE/XLIMASS
NSmICE=Fsmall*NLICE
!
IF ( (NLICE.GE.NLImin .AND. NLICE.LE.NLImax) &
& .OR. IPASS.EQ.1) THEN
EXIT
ELSE
IF (TC < 0) THEN
XLI=RHO*(QTICE/DUM-XSIMASS)/RimeF1
IF (XLI .LE. MASSI(MDImin) ) THEN
INDEXS=MDImin
ELSE IF (XLI .LE. MASSI(450) ) THEN
DLI=9.5885E5*XLI**.42066 ! DLI in microns
INDEXS=MIN(MDImax, MAX(MDImin, INT(DLI) ) )
ELSE IF (XLI .LE. MASSI(MDImax) ) THEN
DLI=3.9751E6*XLI**.49870 ! DLI in microns
INDEXS=MIN(MDImax, MAX(MDImin, INT(DLI) ) )
ELSE
INDEXS=MDImax
ENDIF ! End IF (XLI .LE. MASSI(MDImin) )
ENDIF ! End IF (TC < 0)
!
!--- Reduce excessive accumulation of ice at upper levels
! associated with strong grid-resolved ascent
!
!--- Force NLICE to be between NLImin and NLImax
!
!
!--- 8/22/01: Increase density of large ice if maximum limits
! are reached for number concentration (NLImax) and mean size
! (MDImax). Done to increase fall out of ice.
!
DUM=MAX(NLImin, MIN(NLImax, NLICE) )
IF (DUM.GE.NLImax .AND. INDEXS.GE.MDImax) &
& RimeF1=RHO*(QTICE/NLImax-XSIMASS)/MASSI(INDEXS)
! WRITE(6,"(4(a12,g11.4,1x))")
! & '{$ TC=',TC,'P=',.01*PP,'NLICE=',NLICE,'DUM=',DUM,
! & '{$ XLI=',XLI,'INDEXS=',FLOAT(INDEXS),'RHO=',RHO,'QTICE=',QTICE,
! & '{$ XSIMASS=',XSIMASS,'RimeF1=',RimeF1
ENDIF ! End IF ( (NLICE.GE.NLImin .AND. NLICE.LE.NLImax) ...
ENDDO ! End DO IPASS=0,1
ENDIF ! End IF (QI.LE.EPSQ .AND. ASNOW.LE.CLIMIT)
ENDIF ! End IF (ICE_logical)
!
!----------------------------------------------------------------------
!--------------- Calculate individual processes -----------------------
!----------------------------------------------------------------------
!
!--- Cloud water autoconversion to rain and collection by rain
!
IF (QW.GT.EPSQ .AND. TC.GE.T_ICE) THEN
!
!--- QW0 could be modified based on land/sea properties,
! presence of convection, etc. This is why QAUT0 and CRAUT
! are passed into the subroutine as externally determined
! parameters. Can be changed in the future if desired.
!
QW0=QAUT0*RRHO
PRAUT=MAX(0., MIN(QW-QW0, QW0) )*CRAUT
IF (QLICE .GT. EPSQ) THEN
!
!--- Collection of cloud water by large ice particles ("snow")
! PIACWI=PIACW for riming, PIACWI=0 for shedding
!
FWS=MIN(1., CIACW*VEL_INC*NLICE*ACCRI(INDEXS)/PP**C1)
PIACW=FWS*QW
IF (TC .LT. 0.) PIACWI=PIACW ! Large ice riming
ENDIF ! End IF (QLICE .GT. EPSQ)
ENDIF ! End IF (QW.GT.EPSQ .AND. TC.GE.T_ICE)
!
!----------------------------------------------------------------------
!--- Loop around some of the ice-phase processes if no ice should be present
!----------------------------------------------------------------------
!
IF (ICE_logical .EQV. .FALSE.) GO TO 20
!
!--- Now the pretzel logic of calculating ice deposition
!
IF (TC.LT.T_ICE .AND. (WV.GT.QSIgrd .OR. QW.GT.EPSQ)) THEN
!
!--- Adjust to ice saturation at T<T_ICE (-10C) if supersaturated.
! Sources of ice due to nucleation and convective detrainment are
! either poorly understood, poorly resolved at typical NWP
! resolutions, or are not represented (e.g., no detrained
! condensate in BMJ Cu scheme).
!
PCOND=-QW
DUM1=TK+XLV1*PCOND ! Updated (dummy) temperature (deg K)
DUM2=WV+QW ! Updated (dummy) water vapor mixing ratio
DUM=MIN(1000.*FPVS(DUM1),0.99*PP) ! Updated (dummy) saturation vapor pressure w/r/t ice
DUM=RHgrd*EPS*DUM/(PP-DUM) ! Updated (dummy) saturation mixing ratio w/r/t ice
IF (DUM2 .GT. DUM) PIDEP=DEPOSIT (PP, DUM1, DUM2)
DWVi=0. ! Used only for debugging
!
ELSE IF (TC .LT. 0.) THEN
!
!--- These quantities are handy for ice deposition/sublimation
! PIDEP_max - max deposition or minimum sublimation to ice saturation
!
DENOMI=1.+XLS2*QSI*TK2
DWVi=MIN(WVQW,QSW)-QSI
PIDEP_max=MAX(PILOSS, DWVi/DENOMI)
IF (QTICE .GT. 0.) THEN
!
!--- Calculate ice deposition/sublimation
! * SFACTOR - [VEL_INC**.5]*[Schmidt**(1./3.)]*[(RHO/DYNVIS)**.5],
! where Schmidt (Schmidt Number) =DYNVIS/(RHO*DIFFUS)
! * Units: SFACTOR - s**.5/m ; ABI - m**2/s ; NLICE - m**-3 ;
! VENTIL, VENTIS - m**-2 ; VENTI1 - m ;
! VENTI2 - m**2/s**.5 ; DIDEP - unitless
!
SFACTOR=VEL_INC**.5*(RHO/(DIFFUS*DIFFUS*DYNVIS))**C2
ABI=1./(RHO*XLS3*QSI*TK2/THERM_COND+1./DIFFUS)
!
!--- VENTIL - Number concentration * ventilation factors for large ice
!--- VENTIS - Number concentration * ventilation factors for small ice
!
!--- Variation in the number concentration of ice with time is not
! accounted for in these calculations (could be in the future).
!
VENTIL=(VENTI1(INDEXS)+SFACTOR*VENTI2(INDEXS))*NLICE
VENTIS=(VENTI1(MDImin)+SFACTOR*VENTI2(MDImin))*NSmICE
DIDEP=ABI*(VENTIL+VENTIS)*DTPH
!
!--- Account for change in water vapor supply w/ time
!
IF (DIDEP .GE. Xratio)then
DIDEP=(1.-EXP(-DIDEP*DENOMI))/DENOMI
endif
IF (DWVi .GT. 0.) THEN
PIDEP=MIN(DWVi*DIDEP, PIDEP_max)
ELSE IF (DWVi .LT. 0.) THEN
PIDEP=MAX(DWVi*DIDEP, PIDEP_max)
ENDIF
!
ELSE IF (WVQW.GT.QSI .AND. TC.LE.T_ICE_init) THEN
!
!--- Ice nucleation in near water-saturated conditions. Ice crystal
! growth during time step calculated using Miller & Young (1979, JAS).
!--- These deposition rates could drive conditions below water saturation,
! which is the basis of these calculations. Intended to approximate
! more complex & computationally intensive calculations.
!
INDEX_MY=MAX(MY_T1, MIN( INT(.5-TC), MY_T2 ) )
!
!--- DUM1 is the supersaturation w/r/t ice at water-saturated conditions
!
!--- DUM2 is the number of ice crystals nucleated at water-saturated
! conditions based on Meyers et al. (JAM, 1992).
!
!--- Prevent unrealistically large ice initiation (limited by PIDEP_max)
! if DUM2 values are increased in future experiments
!
DUM1=QSW/QSI-1.
DUM2=1.E3*EXP(12.96*DUM1-.639)
PIDEP=MIN(PIDEP_max, DUM2*MY_GROWTH(INDEX_MY)*RRHO)
!
ENDIF ! End IF (QTICE .GT. 0.)
!
ENDIF ! End IF (TC.LT.T_ICE .AND. (WV.GT.QSIgrd .OR. QW.GT.EPSQ))
!
!------------------------------------------------------------------------
!
20 CONTINUE ! Jump here if conditions for ice are not present
!
!------------------------------------------------------------------------
!
!--- Cloud water condensation
!
IF (TC.GE.T_ICE .AND. (QW.GT.EPSQ .OR. WV.GT.QSWgrd)) THEN
IF (PIACWI.EQ.0. .AND. PIDEP.EQ.0.) THEN
PCOND=CONDENSE (PP, QW, TK, WV)
ELSE
!
!--- Modify cloud condensation in response to ice processes
!
DUM=XLV*QSWgrd*RCPRV*TK2
DENOMWI=1.+XLS*DUM
DENOMF=XLF*DUM
DUM=MAX(0., PIDEP)
PCOND=(WV-QSWgrd-DENOMWI*DUM-DENOMF*PIACWI)/DENOMW
DUM1=-QW
DUM2=PCOND-PIACW
IF (DUM2 .LT. DUM1) THEN
!
!--- Limit cloud water sinks
!
DUM=DUM1/DUM2
PCOND=DUM*PCOND
PIACW=DUM*PIACW
PIACWI=DUM*PIACWI
ENDIF ! End IF (DUM2 .LT. DUM1)
ENDIF ! End IF (PIACWI.EQ.0. .AND. PIDEP.EQ.0.)
ENDIF ! End IF (TC.GE.T_ICE .AND. (QW.GT.EPSQ .OR. WV.GT.QSWgrd))
!
!--- Limit freezing of accreted rime to prevent temperature oscillations,
! a crude Schumann-Ludlam limit (p. 209 of Young, 1993).
!
TCC=TC+XLV1*PCOND+XLS1*PIDEP+XLF1*PIACWI
IF (TCC .GT. 0.) THEN
PIACWI=0.
TCC=TC+XLV1*PCOND+XLS1*PIDEP
ENDIF
IF (TC.GT.0. .AND. TCC.GT.0. .AND. ICE_logical) THEN
!
!--- Calculate melting and evaporation/condensation
! * Units: SFACTOR - s**.5/m ; ABI - m**2/s ; NLICE - m**-3 ;
! VENTIL - m**-2 ; VENTI1 - m ;
! VENTI2 - m**2/s**.5 ; CIEVP - /s
!
SFACTOR=VEL_INC**.5*(RHO/(DIFFUS*DIFFUS*DYNVIS))**C2
VENTIL=NLICE*(VENTI1(INDEXS)+SFACTOR*VENTI2(INDEXS))
AIEVP=VENTIL*DIFFUS*DTPH
IF (AIEVP .LT. Xratio) THEN
DIEVP=AIEVP
ELSE
DIEVP=1.-EXP(-AIEVP)
ENDIF
QSW0=EPS*ESW0/(PP-ESW0)
DWV0=MIN(WV,QSW)-QSW0
DUM=QW+PCOND
IF (WV.LT.QSW .AND. DUM.LE.EPSQ) THEN
!
!--- Evaporation from melting snow (sink of snow) or shedding
! of water condensed onto melting snow (source of rain)
!
DUM=DWV0*DIEVP
PIEVP=MAX( MIN(0., DUM), PILOSS)
PICND=MAX(0., DUM)
ENDIF ! End IF (WV.LT.QSW .AND. DUM.LE.EPSQ)
PIMLT=THERM_COND*TCC*VENTIL*RRHO*DTPH/XLF
!
!--- Limit melting to prevent temperature oscillations across 0C
!
DUM1=MAX( 0., (TCC+XLV1*PIEVP)/XLF1 )
PIMLT=MIN(PIMLT, DUM1)
!
!--- Limit loss of snow by melting (>0) and evaporation
!
DUM=PIEVP-PIMLT
IF (DUM .LT. PILOSS) THEN
DUM1=PILOSS/DUM
PIMLT=PIMLT*DUM1
PIEVP=PIEVP*DUM1
ENDIF ! End IF (DUM .GT. QTICE)
ENDIF ! End IF (TC.GT.0. .AND. TCC.GT.0. .AND. ICE_logical)
!
!--- IMPORTANT: Estimate time-averaged properties.
!
! * TOT_RAIN - total mass of rain before microphysics, which is the sum of
! the total mass of rain in the current layer and the input
! flux of rain from above
! * VRAIN1 - fall speed of rain into grid from above (with air resistance correction)
! * QTRAIN - time-averaged mixing ratio of rain (kg/kg)
! * PRLOSS - greatest loss (<0) of rain, removing all rain falling from
! above and the rain within the layer
! * RQR - rain content (kg/m**3)
! * INDEXR - mean size of rain drops to the nearest 1 micron in size
! * N0r - intercept of rain size distribution (typically 10**6 m**-4)
!
TOT_RAIN=0.
VRAIN1=0.
QTRAIN=0.
PRLOSS=0.
RQR=0.
N0r=0.
INDEXR=MDRmin
INDEXR1=INDEXR !-- For debugging only
IF (RAIN_logical) THEN
IF (ARAIN .LE. 0.) THEN
INDEXR=MDRmin
VRAIN1=0.
ELSE
!
!--- INDEXR (related to mean diameter) & N0r could be modified
! by land/sea properties, presence of convection, etc.
!
!--- Rain rate normalized to a density of 1.194 kg/m**3
!
RR=ARAIN/(DTPH*GAMMAR)
!
IF (RR .LE. RR_DRmin) THEN
!
!--- Assume fixed mean diameter of rain (0.2 mm) for low rain rates,
! instead vary N0r with rain rate
!
INDEXR=MDRmin
ELSE IF (RR .LE. RR_DR1) THEN
!
!--- Best fit to mass-weighted fall speeds (V) from rain lookup tables
! for mean diameters (Dr) between 0.05 and 0.10 mm:
! V(Dr)=5.6023e4*Dr**1.136, V in m/s and Dr in m
! RR = PI*1000.*N0r0*5.6023e4*Dr**(4+1.136) = 1.408e15*Dr**5.136,
! RR in kg/(m**2*s)
! Dr (m) = 1.123e-3*RR**.1947 -> Dr (microns) = 1.123e3*RR**.1947
!
INDEXR=INT( 1.123E3*RR**.1947 + .5 )
INDEXR=MAX( MDRmin, MIN(INDEXR, MDR1) )
ELSE IF (RR .LE. RR_DR2) THEN
!
!--- Best fit to mass-weighted fall speeds (V) from rain lookup tables
! for mean diameters (Dr) between 0.10 and 0.20 mm:
! V(Dr)=1.0867e4*Dr**.958, V in m/s and Dr in m
! RR = PI*1000.*N0r0*1.0867e4*Dr**(4+.958) = 2.731e14*Dr**4.958,
! RR in kg/(m**2*s)
! Dr (m) = 1.225e-3*RR**.2017 -> Dr (microns) = 1.225e3*RR**.2017
!
INDEXR=INT( 1.225E3*RR**.2017 + .5 )
INDEXR=MAX( MDR1, MIN(INDEXR, MDR2) )
ELSE IF (RR .LE. RR_DR3) THEN
!
!--- Best fit to mass-weighted fall speeds (V) from rain lookup tables
! for mean diameters (Dr) between 0.20 and 0.32 mm:
! V(Dr)=2831.*Dr**.80, V in m/s and Dr in m
! RR = PI*1000.*N0r0*2831.*Dr**(4+.80) = 7.115e13*Dr**4.80,
! RR in kg/(m**2*s)
! Dr (m) = 1.3006e-3*RR**.2083 -> Dr (microns) = 1.3006e3*RR**.2083
!
INDEXR=INT( 1.3006E3*RR**.2083 + .5 )
INDEXR=MAX( MDR2, MIN(INDEXR, MDR3) )
ELSE IF (RR .LE. RR_DRmax) THEN
!
!--- Best fit to mass-weighted fall speeds (V) from rain lookup tables
! for mean diameters (Dr) between 0.32 and 0.45 mm:
! V(Dr)=944.8*Dr**.6636, V in m/s and Dr in m
! RR = PI*1000.*N0r0*944.8*Dr**(4+.6636) = 2.3745e13*Dr**4.6636,
! RR in kg/(m**2*s)
! Dr (m) = 1.355e-3*RR**.2144 -> Dr (microns) = 1.355e3*RR**.2144
!
INDEXR=INT( 1.355E3*RR**.2144 + .5 )
INDEXR=MAX( MDR3, MIN(INDEXR, MDRmax) )
ELSE
!
!--- Assume fixed mean diameter of rain (0.45 mm) for high rain rates,
! instead vary N0r with rain rate
!
INDEXR=MDRmax
ENDIF ! End IF (RR .LE. RR_DRmin) etc.
VRAIN1=GAMMAR*VRAIN(INDEXR)
ENDIF ! End IF (ARAIN .LE. 0.)
INDEXR1=INDEXR ! For debugging only
TOT_RAIN=THICK*QR+BLEND*ARAIN
QTRAIN=TOT_RAIN/(THICK+BLDTRH*VRAIN1)
PRLOSS=-TOT_RAIN/THICK
RQR=RHO*QTRAIN
!
!--- RQR - time-averaged rain content (kg/m**3)
!
IF (RQR .LE. RQR_DRmin) THEN
N0r=MAX(N0rmin, CN0r_DMRmin*RQR)
INDEXR=MDRmin
ELSE IF (RQR .GE. RQR_DRmax) THEN
N0r=CN0r_DMRmax*RQR
INDEXR=MDRmax
ELSE
N0r=N0r0
INDEXR=MAX( XMRmin, MIN(CN0r0*RQR**.25, XMRmax) )
ENDIF
!
IF (TC .LT. T_ICE) THEN
PIACR=-PRLOSS
ELSE
DWVr=WV-PCOND-QSW
DUM=QW+PCOND
IF (DWVr.LT.0. .AND. DUM.LE.EPSQ) THEN
!
!--- Rain evaporation
!
! * RFACTOR - [GAMMAR**.5]*[Schmidt**(1./3.)]*[(RHO/DYNVIS)**.5],
! where Schmidt (Schmidt Number) =DYNVIS/(RHO*DIFFUS)
!
! * Units: RFACTOR - s**.5/m ; ABW - m**2/s ; VENTR - m**-2 ;
! N0r - m**-4 ; VENTR1 - m**2 ; VENTR2 - m**3/s**.5 ;
! CREVP - unitless
!
RFACTOR=GAMMAR**.5*(RHO/(DIFFUS*DIFFUS*DYNVIS))**C2
ABW=1./(RHO*XLV2/THERM_COND+1./DIFFUS)
!
!--- Note that VENTR1, VENTR2 lookup tables do not include the
! 1/Davg multiplier as in the ice tables
!
VENTR=N0r*(VENTR1(INDEXR)+RFACTOR*VENTR2(INDEXR))
CREVP=ABW*VENTR*DTPH
IF (CREVP .LT. Xratio) THEN
DUM=DWVr*CREVP
ELSE
DUM=DWVr*(1.-EXP(-CREVP*DENOMW))/DENOMW
ENDIF
PREVP=MAX(DUM, PRLOSS)
ELSE IF (QW .GT. EPSQ) THEN
FWR=CRACW*GAMMAR*N0r*ACCRR(INDEXR)
PRACW=MIN(1.,FWR)*QW
ENDIF ! End IF (DWVr.LT.0. .AND. DUM.LE.EPSQ)
!
IF (TC.LT.0. .AND. TCC.LT.0.) THEN
!
!--- Biggs (1953) heteorogeneous freezing (e.g., Lin et al., 1983)
! - Rescaled mean drop diameter from microns (INDEXR) to mm (DUM) to prevent underflow
!
DUM=.001*FLOAT(INDEXR)
DUM=(EXP(ABFR*TC)-1.)*DUM*DUM*DUM*DUM*DUM*DUM*DUM
PIACR=MIN(CBFR*N0r*RRHO*DUM, QTRAIN)
IF (QLICE .GT. EPSQ) THEN
!
!--- Freezing of rain by collisions w/ large ice
!
DUM=GAMMAR*VRAIN(INDEXR)
DUM1=DUM-VSNOW
!
!--- DUM2 - Difference in spectral fall speeds of rain and
! large ice, parameterized following eq. (48) on p. 112 of
! Murakami (J. Meteor. Soc. Japan, 1990)
!
DUM2=(DUM1*DUM1+.04*DUM*VSNOW)**.5
DUM1=5.E-12*INDEXR*INDEXR+2.E-12*INDEXR*INDEXS &
& +.5E-12*INDEXS*INDEXS
FIR=MIN(1., CIACR*NLICE*DUM1*DUM2)
!
!--- Future? Should COLLECTION BY SMALL ICE SHOULD BE INCLUDED???
!
PIACR=MIN(PIACR+FIR*QTRAIN, QTRAIN)
ENDIF ! End IF (QLICE .GT. EPSQ)
DUM=PREVP-PIACR
If (DUM .LT. PRLOSS) THEN
DUM1=PRLOSS/DUM
PREVP=DUM1*PREVP
PIACR=DUM1*PIACR
ENDIF ! End If (DUM .LT. PRLOSS)
ENDIF ! End IF (TC.LT.0. .AND. TCC.LT.0.)
ENDIF ! End IF (TC .LT. T_ICE)
ENDIF ! End IF (RAIN_logical)
!
!----------------------------------------------------------------------
!---------------------- Main Budget Equations -------------------------
!----------------------------------------------------------------------
!
!
!-----------------------------------------------------------------------
!--- Update fields, determine characteristics for next lower layer ----
!-----------------------------------------------------------------------
!
!--- Carefully limit sinks of cloud water
!
DUM1=PIACW+PRAUT+PRACW-MIN(0.,PCOND)
IF (DUM1 .GT. QW) THEN
DUM=QW/DUM1
PIACW=DUM*PIACW
PIACWI=DUM*PIACWI
PRAUT=DUM*PRAUT
PRACW=DUM*PRACW
IF (PCOND .LT. 0.) PCOND=DUM*PCOND
ENDIF
PIACWR=PIACW-PIACWI ! TC >= 0C
!
!--- QWnew - updated cloud water mixing ratio
!
DELW=PCOND-PIACW-PRAUT-PRACW
QWnew=QW+DELW
IF (QWnew .LE. EPSQ) QWnew=0.
IF (QW.GT.0. .AND. QWnew.NE.0.) THEN
DUM=QWnew/QW
IF (DUM .LT. TOLER) QWnew=0.
ENDIF
!
!--- Update temperature and water vapor mixing ratios
!
DELT= XLV1*(PCOND+PIEVP+PICND+PREVP) &
& +XLS1*PIDEP+XLF1*(PIACWI+PIACR-PIMLT)
Tnew=TK+DELT
!
DELV=-PCOND-PIDEP-PIEVP-PICND-PREVP
WVnew=WV+DELV
!
!--- Update ice mixing ratios
!
!---
! * TOT_ICEnew - total mass (small & large) ice after microphysics,
! which is the sum of the total mass of large ice in the
! current layer and the flux of ice out of the grid box below
! * RimeF - Rime Factor, which is the mass ratio of total (unrimed &
! rimed) ice mass to the unrimed ice mass (>=1)
! * QInew - updated mixing ratio of total (large & small) ice in layer
! -> TOT_ICEnew=QInew*THICK+BLDTRH*QLICEnew*VSNOW
! -> But QLICEnew=QInew*FLIMASS, so
! -> TOT_ICEnew=QInew*(THICK+BLDTRH*FLIMASS*VSNOW)
! * ASNOWnew - updated accumulation of snow at bottom of grid cell
!---
!
DELI=0.
RimeF=1.
IF (ICE_logical) THEN
DELI=PIDEP+PIEVP+PIACWI+PIACR-PIMLT
TOT_ICEnew=TOT_ICE+THICK*DELI
IF (TOT_ICE.GT.0. .AND. TOT_ICEnew.NE.0.) THEN
DUM=TOT_ICEnew/TOT_ICE
IF (DUM .LT. TOLER) TOT_ICEnew=0.
ENDIF
IF (TOT_ICEnew .LE. CLIMIT) THEN
TOT_ICEnew=0.
RimeF=1.
QInew=0.
ASNOWnew=0.
ELSE
!
!--- Update rime factor if appropriate
!
DUM=PIACWI+PIACR
IF (DUM.LE.EPSQ .AND. PIDEP.LE.EPSQ) THEN
RimeF=RimeF1
ELSE
!
!--- Rime Factor, RimeF = (Total ice mass)/(Total unrimed ice mass)
! DUM1 - Total ice mass, rimed & unrimed
! DUM2 - Estimated mass of *unrimed* ice
!
DUM1=TOT_ICE+THICK*(PIDEP+DUM)
DUM2=TOT_ICE/RimeF1+THICK*PIDEP
IF (DUM2 .LE. 0.) THEN
RimeF=RFmax
ELSE
RimeF=MIN(RFmax, MAX(1., DUM1/DUM2) )
ENDIF
ENDIF ! End IF (DUM.LE.EPSQ .AND. PIDEP.LE.EPSQ)
QInew=TOT_ICEnew/(THICK+BLDTRH*FLIMASS*VSNOW)
IF (QInew .LE. EPSQ) QInew=0.
IF (QI.GT.0. .AND. QInew.NE.0.) THEN
DUM=QInew/QI
IF (DUM .LT. TOLER) QInew=0.
ENDIF
ASNOWnew=BLDTRH*FLIMASS*VSNOW*QInew
IF (ASNOW.GT.0. .AND. ASNOWnew.NE.0.) THEN
DUM=ASNOWnew/ASNOW
IF (DUM .LT. TOLER) ASNOWnew=0.
ENDIF
ENDIF ! End IF (TOT_ICEnew .LE. CLIMIT)
ENDIF ! End IF (ICE_logical)
!
!--- Update rain mixing ratios
!
!---
! * TOT_RAINnew - total mass of rain after microphysics
! current layer and the input flux of ice from above
! * VRAIN2 - time-averaged fall speed of rain in grid and below
! (with air resistance correction)
! * QRnew - updated rain mixing ratio in layer
! -> TOT_RAINnew=QRnew*(THICK+BLDTRH*VRAIN2)
! * ARAINnew - updated accumulation of rain at bottom of grid cell
!---
!
DELR=PRAUT+PRACW+PIACWR-PIACR+PIMLT+PREVP+PICND
TOT_RAINnew=TOT_RAIN+THICK*DELR
IF (TOT_RAIN.GT.0. .AND. TOT_RAINnew.NE.0.) THEN
DUM=TOT_RAINnew/TOT_RAIN
IF (DUM .LT. TOLER) TOT_RAINnew=0.
ENDIF
IF (TOT_RAINnew .LE. CLIMIT) THEN
TOT_RAINnew=0.
VRAIN2=0.
QRnew=0.
ARAINnew=0.
ELSE
!
!--- 1st guess time-averaged rain rate at bottom of grid box
!
RR=TOT_RAINnew/(DTPH*GAMMAR)
!
!--- Use same algorithm as above for calculating mean drop diameter
! (IDR, in microns), which is used to estimate the time-averaged
! fall speed of rain drops at the bottom of the grid layer. This
! isn't perfect, but the alternative is solving a transcendental
! equation that is numerically inefficient and nasty to program
! (coded in earlier versions of GSMCOLUMN prior to 8-22-01).
!
IF (RR .LE. RR_DRmin) THEN
IDR=MDRmin
ELSE IF (RR .LE. RR_DR1) THEN
IDR=INT( 1.123E3*RR**.1947 + .5 )
IDR=MAX( MDRmin, MIN(IDR, MDR1) )
ELSE IF (RR .LE. RR_DR2) THEN
IDR=INT( 1.225E3*RR**.2017 + .5 )
IDR=MAX( MDR1, MIN(IDR, MDR2) )
ELSE IF (RR .LE. RR_DR3) THEN
IDR=INT( 1.3006E3*RR**.2083 + .5 )
IDR=MAX( MDR2, MIN(IDR, MDR3) )
ELSE IF (RR .LE. RR_DRmax) THEN
IDR=INT( 1.355E3*RR**.2144 + .5 )
IDR=MAX( MDR3, MIN(IDR, MDRmax) )
ELSE
IDR=MDRmax
ENDIF ! End IF (RR .LE. RR_DRmin)
VRAIN2=GAMMAR*VRAIN(IDR)
QRnew=TOT_RAINnew/(THICK+BLDTRH*VRAIN2)
IF (QRnew .LE. EPSQ) QRnew=0.
IF (QR.GT.0. .AND. QRnew.NE.0.) THEN
DUM=QRnew/QR
IF (DUM .LT. TOLER) QRnew=0.
ENDIF
ARAINnew=BLDTRH*VRAIN2*QRnew
IF (ARAIN.GT.0. .AND. ARAINnew.NE.0.) THEN
DUM=ARAINnew/ARAIN
IF (DUM .LT. TOLER) ARAINnew=0.
ENDIF
ENDIF
!
WCnew=QWnew+QRnew+QInew
!
!----------------------------------------------------------------------
!-------------- Begin debugging & verification ------------------------
!----------------------------------------------------------------------
!
!--- QT, QTnew - total water (vapor & condensate) before & after microphysics, resp.
!
QT=THICK*(WV+WC)+ARAIN+ASNOW
QTnew=THICK*(WVnew+WCnew)+ARAINnew+ASNOWnew
BUDGET=QT-QTnew
!
!--- Additional check on budget preservation, accounting for truncation effects
!
DBG_logical=.FALSE.
! DUM=ABS(BUDGET)
! IF (DUM .GT. TOLER) THEN
! DUM=DUM/MIN(QT, QTnew)
! IF (DUM .GT. TOLER) DBG_logical=.TRUE.
! ENDIF
!!
! DUM=(RHgrd+.001)*QSInew
! IF ( (QWnew.GT.EPSQ) .OR. QRnew.GT.EPSQ .OR. WVnew.GT.DUM)
! & .AND. TC.LT.T_ICE ) DBG_logical=.TRUE.
!
! IF (TC.GT.5. .AND. QInew.GT.EPSQ) DBG_logical=.TRUE.
!
IF ((WVnew.LT.EPSQ .OR. DBG_logical) .AND. PRINT_diag) THEN
!
WRITE(6,"(/2(a,i4),2(a,i2))") '{} i=',I_index,' j=',J_index,&
& ' L=',L,' LSFC=',LSFC
!
ESW=MIN(1000.*FPVS0(Tnew),0.99*PP)
QSWnew=EPS*ESW/(PP-ESW)
IF (TC.LT.0. .OR. Tnew .LT. 0.) THEN
ESI=MIN(1000.*FPVS(Tnew),0.99*PP)
QSInew=EPS*ESI/(PP-ESI)
ELSE
QSI=QSW
QSInew=QSWnew
ENDIF
WSnew=QSInew
WRITE(6,"(4(a12,g11.4,1x))") &
& '{} TCold=',TC,'TCnew=',Tnew-T0C,'P=',.01*PP,'RHO=',RHO, &
& '{} THICK=',THICK,'RHold=',WV/WS,'RHnew=',WVnew/WSnew, &
& 'RHgrd=',RHgrd, &
& '{} RHWold=',WV/QSW,'RHWnew=',WVnew/QSWnew,'RHIold=',WV/QSI, &
& 'RHInew=',WVnew/QSInew, &
& '{} QSWold=',QSW,'QSWnew=',QSWnew,'QSIold=',QSI,'QSInew=',QSInew, &
& '{} WSold=',WS,'WSnew=',WSnew,'WVold=',WV,'WVnew=',WVnew, &
& '{} WCold=',WC,'WCnew=',WCnew,'QWold=',QW,'QWnew=',QWnew, &
& '{} QIold=',QI,'QInew=',QInew,'QRold=',QR,'QRnew=',QRnew, &
& '{} ARAINold=',ARAIN,'ARAINnew=',ARAINnew,'ASNOWold=',ASNOW, &
& 'ASNOWnew=',ASNOWnew, &
& '{} TOT_RAIN=',TOT_RAIN,'TOT_RAINnew=',TOT_RAINnew, &
& 'TOT_ICE=',TOT_ICE,'TOT_ICEnew=',TOT_ICEnew, &
& '{} BUDGET=',BUDGET,'QTold=',QT,'QTnew=',QTnew
!
WRITE(6,"(4(a12,g11.4,1x))") &
& '{} DELT=',DELT,'DELV=',DELV,'DELW=',DELW,'DELI=',DELI, &
& '{} DELR=',DELR,'PCOND=',PCOND,'PIDEP=',PIDEP,'PIEVP=',PIEVP, &
& '{} PICND=',PICND,'PREVP=',PREVP,'PRAUT=',PRAUT,'PRACW=',PRACW, &
& '{} PIACW=',PIACW,'PIACWI=',PIACWI,'PIACWR=',PIACWR,'PIMLT=', &
& PIMLT, &
& '{} PIACR=',PIACR
!
IF (ICE_logical) WRITE(6,"(4(a12,g11.4,1x))") &
& '{} RimeF1=',RimeF1,'GAMMAS=',GAMMAS,'VrimeF=',VrimeF, &
& 'VSNOW=',VSNOW, &
& '{} INDEXS=',FLOAT(INDEXS),'FLARGE=',FLARGE,'FSMALL=',FSMALL, &
& 'FLIMASS=',FLIMASS, &
& '{} XSIMASS=',XSIMASS,'XLIMASS=',XLIMASS,'QLICE=',QLICE, &
& 'QTICE=',QTICE, &
& '{} NLICE=',NLICE,'NSmICE=',NSmICE,'PILOSS=',PILOSS, &
& 'EMAIRI=',EMAIRI, &
& '{} RimeF=',RimeF
!
IF (TOT_RAIN.GT.0. .OR. TOT_RAINnew.GT.0.) &
& WRITE(6,"(4(a12,g11.4,1x))") &
& '{} INDEXR1=',FLOAT(INDEXR1),'INDEXR=',FLOAT(INDEXR), &
& 'GAMMAR=',GAMMAR,'N0r=',N0r, &
& '{} VRAIN1=',VRAIN1,'VRAIN2=',VRAIN2,'QTRAIN=',QTRAIN,'RQR=',RQR, &
& '{} PRLOSS=',PRLOSS,'VOLR1=',THICK+BLDTRH*VRAIN1, &
& 'VOLR2=',THICK+BLDTRH*VRAIN2
!
IF (PRAUT .GT. 0.) WRITE(6,"(a12,g11.4,1x)") '{} QW0=',QW0
!
IF (PRACW .GT. 0.) WRITE(6,"(a12,g11.4,1x)") '{} FWR=',FWR
!
IF (PIACR .GT. 0.) WRITE(6,"(a12,g11.4,1x)") '{} FIR=',FIR
!
DUM=PIMLT+PICND-PREVP-PIEVP
IF (DUM.GT.0. .or. DWVi.NE.0.) &
& WRITE(6,"(4(a12,g11.4,1x))") &
& '{} TFACTOR=',TFACTOR,'DYNVIS=',DYNVIS, &
& 'THERM_CON=',THERM_COND,'DIFFUS=',DIFFUS
!
IF (PREVP .LT. 0.) WRITE(6,"(4(a12,g11.4,1x))") &
& '{} RFACTOR=',RFACTOR,'ABW=',ABW,'VENTR=',VENTR,'CREVP=',CREVP, &
& '{} DWVr=',DWVr,'DENOMW=',DENOMW
!
IF (PIDEP.NE.0. .AND. DWVi.NE.0.) &
& WRITE(6,"(4(a12,g11.4,1x))") &
& '{} DWVi=',DWVi,'DENOMI=',DENOMI,'PIDEP_max=',PIDEP_max, &
& 'SFACTOR=',SFACTOR, &
& '{} ABI=',ABI,'VENTIL=',VENTIL,'VENTIL1=',VENTI1(INDEXS), &
& 'VENTIL2=',SFACTOR*VENTI2(INDEXS), &
& '{} VENTIS=',VENTIS,'DIDEP=',DIDEP
!
IF (PIDEP.GT.0. .AND. PCOND.NE.0.) &
& WRITE(6,"(4(a12,g11.4,1x))") &
& '{} DENOMW=',DENOMW,'DENOMWI=',DENOMWI,'DENOMF=',DENOMF, &
& 'DUM2=',PCOND-PIACW
!
IF (FWS .GT. 0.) WRITE(6,"(4(a12,g11.4,1x))") &
& '{} FWS=',FWS
!
DUM=PIMLT+PICND-PIEVP
IF (DUM.GT. 0.) WRITE(6,"(4(a12,g11.4,1x))") &
& '{} SFACTOR=',SFACTOR,'VENTIL=',VENTIL,'VENTIL1=',VENTI1(INDEXS), &
& 'VENTIL2=',SFACTOR*VENTI2(INDEXS), &
& '{} AIEVP=',AIEVP,'DIEVP=',DIEVP,'QSW0=',QSW0,'DWV0=',DWV0
!
ENDIF
!
!-----------------------------------------------------------------------
!--------------- Water budget statistics & maximum values --------------
!-----------------------------------------------------------------------
!
IF (PRINT_diag) THEN
ITdx=MAX( ITLO, MIN( INT(Tnew-T0C), ITHI ) )
IF (QInew .GT. EPSQ) NSTATS(ITdx,1)=NSTATS(ITdx,1)+1
IF (QInew.GT.EPSQ .AND. QRnew+QWnew.GT.EPSQ) &
& NSTATS(ITdx,2)=NSTATS(ITdx,2)+1
IF (QWnew .GT. EPSQ) NSTATS(ITdx,3)=NSTATS(ITdx,3)+1
IF (QRnew .GT. EPSQ) NSTATS(ITdx,4)=NSTATS(ITdx,4)+1
!
QMAX(ITdx,1)=MAX(QMAX(ITdx,1), QInew)
QMAX(ITdx,2)=MAX(QMAX(ITdx,2), QWnew)
QMAX(ITdx,3)=MAX(QMAX(ITdx,3), QRnew)
QMAX(ITdx,4)=MAX(QMAX(ITdx,4), ASNOWnew)
QMAX(ITdx,5)=MAX(QMAX(ITdx,5), ARAINnew)
QTOT(ITdx,1)=QTOT(ITdx,1)+QInew*THICK
QTOT(ITdx,2)=QTOT(ITdx,2)+QWnew*THICK
QTOT(ITdx,3)=QTOT(ITdx,3)+QRnew*THICK
!
QTOT(ITdx,4)=QTOT(ITdx,4)+PCOND*THICK
QTOT(ITdx,5)=QTOT(ITdx,5)+PICND*THICK
QTOT(ITdx,6)=QTOT(ITdx,6)+PIEVP*THICK
QTOT(ITdx,7)=QTOT(ITdx,7)+PIDEP*THICK
QTOT(ITdx,8)=QTOT(ITdx,8)+PREVP*THICK
QTOT(ITdx,9)=QTOT(ITdx,9)+PRAUT*THICK
QTOT(ITdx,10)=QTOT(ITdx,10)+PRACW*THICK
QTOT(ITdx,11)=QTOT(ITdx,11)+PIMLT*THICK
QTOT(ITdx,12)=QTOT(ITdx,12)+PIACW*THICK
QTOT(ITdx,13)=QTOT(ITdx,13)+PIACWI*THICK
QTOT(ITdx,14)=QTOT(ITdx,14)+PIACWR*THICK
QTOT(ITdx,15)=QTOT(ITdx,15)+PIACR*THICK
!
QTOT(ITdx,16)=QTOT(ITdx,16)+(WVnew-WV)*THICK
QTOT(ITdx,17)=QTOT(ITdx,17)+(QWnew-QW)*THICK
QTOT(ITdx,18)=QTOT(ITdx,18)+(QInew-QI)*THICK
QTOT(ITdx,19)=QTOT(ITdx,19)+(QRnew-QR)*THICK
QTOT(ITdx,20)=QTOT(ITdx,20)+(ARAINnew-ARAIN)
QTOT(ITdx,21)=QTOT(ITdx,21)+(ASNOWnew-ASNOW)
IF (QInew .GT. 0.) &
& QTOT(ITdx,22)=QTOT(ITdx,22)+QInew*THICK/RimeF
!
ENDIF
!
!----------------------------------------------------------------------
!------------------------- Update arrays ------------------------------
!----------------------------------------------------------------------
!
T_col(L)=Tnew ! Updated temperature
!
QV_col(L)=max(EPSQ, WVnew/(1.+WVnew)) ! Updated specific humidity
WC_col(L)=max(EPSQ, WCnew) ! Updated total condensate mixing ratio
QI_col(L)=max(EPSQ, QInew) ! Updated ice mixing ratio
QR_col(L)=max(EPSQ, QRnew) ! Updated rain mixing ratio
QW_col(L)=max(EPSQ, QWnew) ! Updated cloud water mixing ratio
RimeF_col(L)=RimeF ! Updated rime factor
ASNOW=ASNOWnew ! Updated accumulated snow
ARAIN=ARAINnew ! Updated accumulated rain
!
!#######################################################################
!
10 CONTINUE ! ##### End "L" loop through model levels #####
!
!#######################################################################
!
!-----------------------------------------------------------------------
!--------------------------- Return to GSMDRIVE -----------------------
!-----------------------------------------------------------------------
!
CONTAINS
!#######################################################################
!--------- Produces accurate calculation of cloud condensation ---------
!#######################################################################
!
REAL FUNCTION CONDENSE (PP, QW, TK, WV)
!
!---------------------------------------------------------------------------------
!------ The Asai (1965) algorithm takes into consideration the release of ------
!------ latent heat in increasing the temperature & in increasing the ------
!------ saturation mixing ratio (following the Clausius-Clapeyron eqn.). ------
!---------------------------------------------------------------------------------
!
IMPLICIT NONE
!
INTEGER, PARAMETER :: HIGH_PRES=Selected_Real_Kind(15)
REAL (KIND=HIGH_PRES), PARAMETER :: &
& RHLIMIT=.001, RHLIMIT1=-RHLIMIT
REAL (KIND=HIGH_PRES) :: COND, SSAT, WCdum
!
REAL,INTENT(IN) :: QW,PP,WV,TK
REAL WVdum,Tdum,XLV2,DWV,WS,ESW,XLV1,XLV
integer nsteps
!
!-----------------------------------------------------------------------
!
!--- LV (T) is from Bolton (JAS, 1980)
!
XLV=3.148E6-2370.*TK
XLV1=XLV*RCP
XLV2=XLV*XLV*RCPRV
Tdum=TK
WVdum=WV
WCdum=QW
ESW=MIN(1000.*FPVS0(Tdum),0.99*PP) ! Saturation vapor press w/r/t water
WS=RHgrd*EPS*ESW/(PP-ESW) ! Saturation mixing ratio w/r/t water
DWV=WVdum-WS ! Deficit grid-scale water vapor mixing ratio
SSAT=DWV/WS ! Supersaturation ratio
CONDENSE=0.
nsteps = 0
DO WHILE ((SSAT.LT.RHLIMIT1 .AND. WCdum.GT.EPSQ) &
& .OR. SSAT.GT.RHLIMIT)
nsteps = nsteps + 1
COND=DWV/(1.+XLV2*WS/(Tdum*Tdum)) ! Asai (1965, J. Japan)
COND=MAX(COND, -WCdum) ! Limit cloud water evaporation
Tdum=Tdum+XLV1*COND ! Updated temperature
WVdum=WVdum-COND ! Updated water vapor mixing ratio
WCdum=WCdum+COND ! Updated cloud water mixing ratio
CONDENSE=CONDENSE+COND ! Total cloud water condensation
ESW=MIN(1000.*FPVS0(Tdum),0.99*PP) ! Updated saturation vapor press w/r/t water
WS=RHgrd*EPS*ESW/(PP-ESW) ! Updated saturation mixing ratio w/r/t water
DWV=WVdum-WS ! Deficit grid-scale water vapor mixing ratio
SSAT=DWV/WS ! Grid-scale supersaturation ratio
ENDDO
!
END FUNCTION CONDENSE
!
!#######################################################################
!---------------- Calculate ice deposition at T<T_ICE ------------------
!#######################################################################
!
REAL FUNCTION DEPOSIT (PP, Tdum, WVdum)
!
!--- Also uses the Asai (1965) algorithm, but uses a different target
! vapor pressure for the adjustment
!
IMPLICIT NONE
!
INTEGER, PARAMETER :: HIGH_PRES=Selected_Real_Kind(15)
REAL (KIND=HIGH_PRES), PARAMETER :: RHLIMIT=.001, &
& RHLIMIT1=-RHLIMIT
REAL (KIND=HIGH_PRES) :: DEP, SSAT
!
real,INTENT(IN) :: PP
real,INTENT(INOUT) :: WVdum,Tdum
real ESI,WS,DWV
!
!-----------------------------------------------------------------------
!
ESI=MIN(1000.*FPVS(Tdum),0.99*PP) ! Saturation vapor press w/r/t ice
WS=RHgrd*EPS*ESI/(PP-ESI) ! Saturation mixing ratio
DWV=WVdum-WS ! Deficit grid-scale water vapor mixing ratio
SSAT=DWV/WS ! Supersaturation ratio
DEPOSIT=0.
DO WHILE (SSAT.GT.RHLIMIT .OR. SSAT.LT.RHLIMIT1)
!
!--- Note that XLVS2=LS*LV/(CP*RV)=LV*WS/(RV*T*T)*(LS/CP*DEP1),
! where WS is the saturation mixing ratio following Clausius-
! Clapeyron (see Asai,1965; Young,1993,p.405)
!
DEP=DWV/(1.+XLS2*WS/(Tdum*Tdum)) ! Asai (1965, J. Japan)
Tdum=Tdum+XLS1*DEP ! Updated temperature
WVdum=WVdum-DEP ! Updated ice mixing ratio
DEPOSIT=DEPOSIT+DEP ! Total ice deposition
ESI=MIN(1000.*FPVS(Tdum),0.99*PP) ! Updated saturation vapor press w/r/t ice
WS=RHgrd*EPS*ESI/(PP-ESI) ! Updated saturation mixing ratio w/r/t ice
DWV=WVdum-WS ! Deficit grid-scale water vapor mixing ratio
SSAT=DWV/WS ! Grid-scale supersaturation ratio
ENDDO
!
END FUNCTION DEPOSIT
!
END SUBROUTINE EGCP01COLUMN
!#######################################################################
!------- Initialize constants & lookup tables for microphysics ---------
!#######################################################################
!
! SH 0211/2002
!-----------------------------------------------------------------------
SUBROUTINE ETAOLDinit (GSMDT,DT,DELX,DELY,LOWLYR,restart, & 1,17
& F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY, &
& MP_RESTART_STATE,TBPVS_STATE,TBPVS0_STATE, &
& ALLOWED_TO_READ, &
& IDS,IDE,JDS,JDE,KDS,KDE, &
& IMS,IME,JMS,JME,KMS,KME, &
& ITS,ITE,JTS,JTE,KTS,KTE )
!-----------------------------------------------------------------------
!-------------------------------------------------------------------------------
!--- SUBPROGRAM DOCUMENTATION BLOCK
! PRGRMMR: Ferrier ORG: W/NP22 DATE: February 2001
! Jin ORG: W/NP22 DATE: January 2002
! (Modification for WRF structure)
!
!-------------------------------------------------------------------------------
! ABSTRACT:
! * Reads various microphysical lookup tables used in COLUMN_MICRO
! * Lookup tables were created "offline" and are read in during execution
! * Creates lookup tables for saturation vapor pressure w/r/t water & ice
!-------------------------------------------------------------------------------
!
! USAGE: CALL ETAOLDinit FROM SUBROUTINE GSMDRIVE AT MODEL START TIME
!
! INPUT ARGUMENT LIST:
! DTPH - physics time step (s)
!
! OUTPUT ARGUMENT LIST:
! NONE
!
! OUTPUT FILES:
! NONE
!
! SUBROUTINES:
! MY_GROWTH_RATES - lookup table for growth of nucleated ice
! GPVS - lookup tables for saturation vapor pressure (water, ice)
!
! UNIQUE: NONE
!
! LIBRARY: NONE
!
! COMMON BLOCKS:
! CMICRO_CONS - constants used in GSMCOLUMN
! CMY600 - lookup table for growth of ice crystals in
! water saturated conditions (Miller & Young, 1979)
! IVENT_TABLES - lookup tables for ventilation effects of ice
! IACCR_TABLES - lookup tables for accretion rates of ice
! IMASS_TABLES - lookup tables for mass content of ice
! IRATE_TABLES - lookup tables for precipitation rates of ice
! IRIME_TABLES - lookup tables for increase in fall speed of rimed ice
! MAPOT - Need lat/lon grid resolution
! RVENT_TABLES - lookup tables for ventilation effects of rain
! RACCR_TABLES - lookup tables for accretion rates of rain
! RMASS_TABLES - lookup tables for mass content of rain
! RVELR_TABLES - lookup tables for fall speeds of rain
! RRATE_TABLES - lookup tables for precipitation rates of rain
!
! ATTRIBUTES:
! LANGUAGE: FORTRAN 90
! MACHINE : IBM SP
!
!-----------------------------------------------------------------------
!
!
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
!-------------------------------------------------------------------------
!-------------- Parameters & arrays for lookup tables --------------------
!-------------------------------------------------------------------------
!
!--- Common block of constants used in column microphysics
!
!WRF
! real DLMD,DPHD
!WRF
!
!-----------------------------------------------------------------------
!--- Parameters & data statement for local calculations
!-----------------------------------------------------------------------
!
INTEGER, PARAMETER :: MDR1=XMR1, MDR2=XMR2, MDR3=XMR3
!
! VARIABLES PASSED IN
integer,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE &
& ,IMS,IME,JMS,JME,KMS,KME &
& ,ITS,ITE,JTS,JTE,KTS,KTE
!WRF
INTEGER, DIMENSION(ims:ime,jms:jme),INTENT(INOUT) :: LOWLYR
!
real, INTENT(IN) :: DELX,DELY
real,DIMENSION(*), INTENT(INOUT) :: MP_RESTART_STATE
real,DIMENSION(NX), INTENT(INOUT) :: TBPVS_STATE,TBPVS0_STATE
real,DIMENSION(ims:ime, kms:kme, jms:jme),INTENT(OUT) :: &
& F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY
INTEGER, PARAMETER :: ITLO=-60, ITHI=40
! integer,DIMENSION(ITLO:ITHI,4),INTENT(INOUT) :: NSTATS
! real,DIMENSION(ITLO:ITHI,5),INTENT(INOUT) :: QMAX
! real,DIMENSION(ITLO:ITHI,22),INTENT(INOUT) :: QTOT
! real,INTENT(INOUT) :: PRECtot(2),PRECmax(2)
real,INTENT(IN) :: DT,GSMDT
LOGICAL,INTENT(IN) :: allowed_to_read,restart
!
!-----------------------------------------------------------------------
! LOCAL VARIABLES
!-----------------------------------------------------------------------
REAL :: BBFR,DTPH,PI,DX,Thour_print
INTEGER :: I,IM,J,L,K,JTF,KTF,ITF
INTEGER :: etampnew_unit1
LOGICAL, PARAMETER :: PRINT_diag=.FALSE.
LOGICAL :: opened
LOGICAL , EXTERNAL :: wrf_dm_on_monitor
CHARACTER*80 errmess
!
!-----------------------------------------------------------------------
!
JTF=MIN0(JTE,JDE-1)
KTF=MIN0(KTE,KDE-1)
ITF=MIN0(ITE,IDE-1)
!
DO J=JTS,JTF
DO I=ITS,ITF
LOWLYR(I,J)=1
ENDDO
ENDDO
!
IF(.NOT.RESTART)THEN
DO J = jts,jte
DO K = kts,kte
DO I= its,ite
F_ICE_PHY(i,k,j)=0.
F_RAIN_PHY(i,k,j)=0.
F_RIMEF_PHY(i,k,j)=1.
ENDDO
ENDDO
ENDDO
ENDIF
!
!-----------------------------------------------------------------------
IF(ALLOWED_TO_READ)THEN
!-----------------------------------------------------------------------
!
DX=((DELX)**2+(DELY)**2)**.5/1000. ! Model resolution at equator (km)
DX=MIN(100., MAX(5., DX) )
!
!-- Relative humidity threshold for the onset of grid-scale condensation
!!-- 9/1/01: Assume the following functional dependence for 5 - 100 km resolution:
!! RHgrd=0.90 for dx=100 km, 0.98 for dx=5 km, where
! RHgrd=0.90+.08*((100.-DX)/95.)**.5
!
DTPH=MAX(GSMDT*60.,DT)
DTPH=NINT(DTPH/DT)*DT
!
!--- Create lookup tables for saturation vapor pressure w/r/t water & ice
!
CALL GPVS
!
!--- Read in various lookup tables
!
IF ( wrf_dm_on_monitor() ) THEN
DO i = 31,99
INQUIRE ( i , OPENED = opened )
IF ( .NOT. opened ) THEN
etampnew_unit1 = i
GOTO 2061
ENDIF
ENDDO
etampnew_unit1 = -1
2061 CONTINUE
ENDIF
!
CALL wrf_dm_bcast_bytes ( etampnew_unit1 , IWORDSIZE )
!
IF ( etampnew_unit1 < 0 ) THEN
CALL wrf_error_fatal ( 'module_mp_etaold: ETAOLDinit: Can not find '// &
'unused fortran unit to read in lookup table.' )
ENDIF
!
IF ( wrf_dm_on_monitor() ) THEN
OPEN(UNIT=etampnew_unit1,FILE="ETAMPNEW_DATA", &
& FORM="UNFORMATTED",STATUS="OLD",ERR=9061)
!
READ(etampnew_unit1) VENTR1
READ(etampnew_unit1) VENTR2
READ(etampnew_unit1) ACCRR
READ(etampnew_unit1) MASSR
READ(etampnew_unit1) VRAIN
READ(etampnew_unit1) RRATE
READ(etampnew_unit1) VENTI1
READ(etampnew_unit1) VENTI2
READ(etampnew_unit1) ACCRI
READ(etampnew_unit1) MASSI
READ(etampnew_unit1) VSNOWI
READ(etampnew_unit1) VEL_RF
CLOSE (etampnew_unit1)
ENDIF
!
CALL wrf_dm_bcast_bytes ( VENTR1 , size ( VENTR1 ) * RWORDSIZE )
CALL wrf_dm_bcast_bytes ( VENTR2 , size ( VENTR2 ) * RWORDSIZE )
CALL wrf_dm_bcast_bytes ( ACCRR , size ( ACCRR ) * RWORDSIZE )
CALL wrf_dm_bcast_bytes ( MASSR , size ( MASSR ) * RWORDSIZE )
CALL wrf_dm_bcast_bytes ( VRAIN , size ( VRAIN ) * RWORDSIZE )
CALL wrf_dm_bcast_bytes ( RRATE , size ( RRATE ) * RWORDSIZE )
CALL wrf_dm_bcast_bytes ( VENTI1 , size ( VENTI1 ) * RWORDSIZE )
CALL wrf_dm_bcast_bytes ( VENTI2 , size ( VENTI2 ) * RWORDSIZE )
CALL wrf_dm_bcast_bytes ( ACCRI , size ( ACCRI ) * RWORDSIZE )
CALL wrf_dm_bcast_bytes ( MASSI , size ( MASSI ) * RWORDSIZE )
CALL wrf_dm_bcast_bytes ( VSNOWI , size ( VSNOWI ) * RWORDSIZE )
CALL wrf_dm_bcast_bytes ( VEL_RF , size ( VEL_RF ) * RWORDSIZE )
!
!--- Calculates coefficients for growth rates of ice nucleated in water
! saturated conditions, scaled by physics time step (lookup table)
!
CALL MY_GROWTH_RATES (DTPH)
! CALL MY_GROWTH_RATES (DTPH,MY_GROWTH)
!
PI=ACOS(-1.)
!
!--- Constants associated with Biggs (1953) freezing of rain, as parameterized
! following Lin et al. (JCAM, 1983) & Reisner et al. (1998, QJRMS).
!
ABFR=-0.66
BBFR=100.
CBFR=20.*PI*PI*BBFR*RHOL*1.E-21
!
!--- CIACW is used in calculating riming rates
! The assumed effective collection efficiency of cloud water rimed onto
! ice is =0.5 below:
!
CIACW=DTPH*0.25*PI*0.5*(1.E5)**C1
!
!--- CIACR is used in calculating freezing of rain colliding with large ice
! The assumed collection efficiency is 1.0
!
CIACR=PI*DTPH
!
!--- Based on rain lookup tables for mean diameters from 0.05 to 0.45 mm
! * Four different functional relationships of mean drop diameter as
! a function of rain rate (RR), derived based on simple fits to
! mass-weighted fall speeds of rain as functions of mean diameter
! from the lookup tables.
!
RR_DRmin=N0r0*RRATE(MDRmin) ! RR for mean drop diameter of .05 mm
RR_DR1=N0r0*RRATE(MDR1) ! RR for mean drop diameter of .10 mm
RR_DR2=N0r0*RRATE(MDR2) ! RR for mean drop diameter of .20 mm
RR_DR3=N0r0*RRATE(MDR3) ! RR for mean drop diameter of .32 mm
RR_DRmax=N0r0*RRATE(MDRmax) ! RR for mean drop diameter of .45 mm
!
RQR_DRmin=N0r0*MASSR(MDRmin) ! Rain content for mean drop diameter of .05 mm
RQR_DR1=N0r0*MASSR(MDR1) ! Rain content for mean drop diameter of .10 mm
RQR_DR2=N0r0*MASSR(MDR2) ! Rain content for mean drop diameter of .20 mm
RQR_DR3=N0r0*MASSR(MDR3) ! Rain content for mean drop diameter of .32 mm
RQR_DRmax=N0r0*MASSR(MDRmax) ! Rain content for mean drop diameter of .45 mm
C_N0r0=PI*RHOL*N0r0
CN0r0=1.E6/C_N0r0**.25
CN0r_DMRmin=1./(PI*RHOL*DMRmin**4)
CN0r_DMRmax=1./(PI*RHOL*DMRmax**4)
!
!--- CRACW is used in calculating collection of cloud water by rain (an
! assumed collection efficiency of 1.0)
!
CRACW=DTPH*0.25*PI*1.0
!
ESW0=1000.*FPVS0(T0C) ! Saturation vapor pressure at 0C
RFmax=1.1**Nrime ! Maximum rime factor allowed
!
!------------------------------------------------------------------------
!--------------- Constants passed through argument list -----------------
!------------------------------------------------------------------------
!
!--- Important parameters for self collection (autoconversion) of
! cloud water to rain.
!
!--- CRAUT is proportional to the rate that cloud water is converted by
! self collection to rain (autoconversion rate)
!
CRAUT=1.-EXP(-1.E-3*DTPH)
!
!--- QAUT0 is the threshold cloud content for autoconversion to rain
! needed for droplets to reach a diameter of 20 microns (following
! Manton and Cotton, 1977; Banta and Hanson, 1987, JCAM)
!--- QAUT0=1.2567, 0.8378, or 0.4189 g/m**3 for droplet number concentrations
! of 300, 200, and 100 cm**-3, respectively
!
QAUT0=PI*RHOL*NCW*(20.E-6)**3/6.
!
!--- For calculating snow optical depths by considering bulk density of
! snow based on emails from Q. Fu (6/27-28/01), where optical
! depth (T) = 1.5*SWP/(Reff*DENS), SWP is snow water path, Reff
! is effective radius, and DENS is the bulk density of snow.
!
! SWP (kg/m**2)=(1.E-3 kg/g)*SWPrad, SWPrad in g/m**2 used in radiation
! T = 1.5*1.E3*SWPrad/(Reff*DENS)
!
! See derivation for MASSI(INDEXS), note equal to RHO*QSNOW/NSNOW
!
! SDENS=1.5e3/DENS, DENS=MASSI(INDEXS)/[PI*(1.E-6*INDEXS)**3]
!
DO I=MDImin,MDImax
SDENS(I)=PI*1.5E-15*FLOAT(I*I*I)/MASSI(I)
ENDDO
!
Thour_print=-DTPH/3600.
! SH 0211/2002
! IF (PRINT_diag) THEN
!-------- Total and maximum quantities
!
! NSTATS=0 ! Microphysical statistics dealing w/ grid-point counts
! QMAX=0. ! Microphysical statistics dealing w/ hydrometeor mass
! QTOT=0. ! Microphysical statistics dealing w/ hydrometeor mass
! PRECmax=0. ! Maximum precip rates (rain, snow) at surface (mm/h)
! PRECtot=0. ! Total precipitation (rain, snow) accumulation at surface
! ENDIF
!wrf
IF(.NOT.RESTART)THEN
MP_RESTART_STATE(MY_T1:MY_T2)=MY_GROWTH(MY_T1:MY_T2)
MP_RESTART_STATE(MY_T2+1)=C1XPVS0
MP_RESTART_STATE(MY_T2+2)=C2XPVS0
MP_RESTART_STATE(MY_T2+3)=C1XPVS
MP_RESTART_STATE(MY_T2+4)=C2XPVS
MP_RESTART_STATE(MY_T2+5)=CIACW
MP_RESTART_STATE(MY_T2+6)=CIACR
MP_RESTART_STATE(MY_T2+7)=CRACW
MP_RESTART_STATE(MY_T2+8)=CRAUT
TBPVS_STATE(1:NX) =TBPVS(1:NX)
TBPVS0_STATE(1:NX)=TBPVS0(1:NX)
ENDIF
ENDIF ! Allowed_to_read
RETURN
!
!-----------------------------------------------------------------------
!
9061 CONTINUE
WRITE( errmess , '(A,I4)' ) &
'module_mp_etaold: error opening ETAMPNEW_DATA on unit ' &
&, etampnew_unit1
CALL wrf_error_fatal(errmess)
!
!-----------------------------------------------------------------------
END SUBROUTINE ETAOLDinit
!
SUBROUTINE MY_GROWTH_RATES (DTPH) 3
! SUBROUTINE MY_GROWTH_RATES (DTPH,MY_GROWTH)
!
!--- Below are tabulated values for the predicted mass of ice crystals
! after 600 s of growth in water saturated conditions, based on
! calculations from Miller and Young (JAS, 1979). These values are
! crudely estimated from tabulated curves at 600 s from Fig. 6.9 of
! Young (1993). Values at temperatures colder than -27C were
! assumed to be invariant with temperature.
!
!--- Used to normalize Miller & Young (1979) calculations of ice growth
! over large time steps using their tabulated values at 600 s.
! Assumes 3D growth with time**1.5 following eq. (6.3) in Young (1993).
!
IMPLICIT NONE
!
REAL,INTENT(IN) :: DTPH
!
REAL DT_ICE
REAL,DIMENSION(35) :: MY_600
!WRF
!
!-----------------------------------------------------------------------
DATA MY_600 / &
& 5.5e-8, 1.4E-7, 2.8E-7, 6.E-7, 3.3E-6, &
& 2.E-6, 9.E-7, 8.8E-7, 8.2E-7, 9.4e-7, &
& 1.2E-6, 1.85E-6, 5.5E-6, 1.5E-5, 1.7E-5, &
& 1.5E-5, 1.E-5, 3.4E-6, 1.85E-6, 1.35E-6, &
& 1.05E-6, 1.E-6, 9.5E-7, 9.0E-7, 9.5E-7, &
& 9.5E-7, 9.E-7, 9.E-7, 9.E-7, 9.E-7, &
& 9.E-7, 9.E-7, 9.E-7, 9.E-7, 9.E-7 / ! -31 to -35 deg C
!
!-----------------------------------------------------------------------
!
DT_ICE=(DTPH/600.)**1.5
MY_GROWTH=DT_ICE*MY_600*1.E-3 ! Convert from g to kg
!
!-----------------------------------------------------------------------
!
END SUBROUTINE MY_GROWTH_RATES
!
!-----------------------------------------------------------------------
!--------- Old GFS saturation vapor pressure lookup tables -----------
!-----------------------------------------------------------------------
!
SUBROUTINE GPVS 6,7
! ******************************************************************
!$$$ SUBPROGRAM DOCUMENTATION BLOCK
! . . .
! SUBPROGRAM: GPVS COMPUTE SATURATION VAPOR PRESSURE TABLE
! AUTHOR: N PHILLIPS W/NP2 DATE: 30 DEC 82
!
! ABSTRACT: COMPUTE SATURATION VAPOR PRESSURE TABLE AS A FUNCTION OF
! TEMPERATURE FOR THE TABLE LOOKUP FUNCTION FPVS.
! EXACT SATURATION VAPOR PRESSURES ARE CALCULATED IN SUBPROGRAM FPVSX.
! THE CURRENT IMPLEMENTATION COMPUTES A TABLE WITH A LENGTH
! OF 7501 FOR TEMPERATURES RANGING FROM 180.0 TO 330.0 KELVIN.
!
! PROGRAM HISTORY LOG:
! 91-05-07 IREDELL
! 94-12-30 IREDELL EXPAND TABLE
! 96-02-19 HONG ICE EFFECT
! 01-11-29 JIN MODIFIED FOR WRF
!
! USAGE: CALL GPVS
!
! SUBPROGRAMS CALLED:
! (FPVSX) - INLINABLE FUNCTION TO COMPUTE SATURATION VAPOR PRESSURE
!
! COMMON BLOCKS:
! COMPVS - SCALING PARAMETERS AND TABLE FOR FUNCTION FPVS.
!
! ATTRIBUTES:
! LANGUAGE: FORTRAN 90
!
!$$$
IMPLICIT NONE
real :: X,XINC,T
integer :: JX
!----------------------------------------------------------------------
XINC=(XMAX-XMIN)/(NX-1)
C1XPVS=1.-XMIN/XINC
C2XPVS=1./XINC
C1XPVS0=1.-XMIN/XINC
C2XPVS0=1./XINC
!
DO JX=1,NX
X=XMIN+(JX-1)*XINC
T=X
TBPVS(JX)=FPVSX(T)
TBPVS0(JX)=FPVSX0(T)
ENDDO
!
END SUBROUTINE GPVS
!-----------------------------------------------------------------------
!***********************************************************************
!-----------------------------------------------------------------------
REAL FUNCTION FPVS(T) 9
!-----------------------------------------------------------------------
!$$$ SUBPROGRAM DOCUMENTATION BLOCK
! . . .
! SUBPROGRAM: FPVS COMPUTE SATURATION VAPOR PRESSURE
! AUTHOR: N PHILLIPS W/NP2 DATE: 30 DEC 82
!
! ABSTRACT: COMPUTE SATURATION VAPOR PRESSURE FROM THE TEMPERATURE.
! A LINEAR INTERPOLATION IS DONE BETWEEN VALUES IN A LOOKUP TABLE
! COMPUTED IN GPVS. SEE DOCUMENTATION FOR FPVSX FOR DETAILS.
! INPUT VALUES OUTSIDE TABLE RANGE ARE RESET TO TABLE EXTREMA.
! THE INTERPOLATION ACCURACY IS ALMOST 6 DECIMAL PLACES.
! ON THE CRAY, FPVS IS ABOUT 4 TIMES FASTER THAN EXACT CALCULATION.
! THIS FUNCTION SHOULD BE EXPANDED INLINE IN THE CALLING ROUTINE.
!
! PROGRAM HISTORY LOG:
! 91-05-07 IREDELL MADE INTO INLINABLE FUNCTION
! 94-12-30 IREDELL EXPAND TABLE
! 96-02-19 HONG ICE EFFECT
! 01-11-29 JIN MODIFIED FOR WRF
!
! USAGE: PVS=FPVS(T)
!
! INPUT ARGUMENT LIST:
! T - REAL TEMPERATURE IN KELVIN
!
! OUTPUT ARGUMENT LIST:
! FPVS - REAL SATURATION VAPOR PRESSURE IN KILOPASCALS (CB)
!
! ATTRIBUTES:
! LANGUAGE: FORTRAN 90
!$$$
IMPLICIT NONE
real,INTENT(IN) :: T
real XJ
integer :: JX
!-----------------------------------------------------------------------
XJ=MIN(MAX(C1XPVS+C2XPVS*T,1.),FLOAT(NX))
JX=MIN(XJ,NX-1.)
FPVS=TBPVS(JX)+(XJ-JX)*(TBPVS(JX+1)-TBPVS(JX))
!
END FUNCTION FPVS
!-----------------------------------------------------------------------
!-----------------------------------------------------------------------
REAL FUNCTION FPVS0(T)
!-----------------------------------------------------------------------
IMPLICIT NONE
real,INTENT(IN) :: T
real :: XJ1
integer :: JX1
!-----------------------------------------------------------------------
XJ1=MIN(MAX(C1XPVS0+C2XPVS0*T,1.),FLOAT(NX))
JX1=MIN(XJ1,NX-1.)
FPVS0=TBPVS0(JX1)+(XJ1-JX1)*(TBPVS0(JX1+1)-TBPVS0(JX1))
!
END FUNCTION FPVS0
!-----------------------------------------------------------------------
!***********************************************************************
!-----------------------------------------------------------------------
REAL FUNCTION FPVSX(T) 5
!-----------------------------------------------------------------------
!$$$ SUBPROGRAM DOCUMENTATION BLOCK
! . . .
! SUBPROGRAM: FPVSX COMPUTE SATURATION VAPOR PRESSURE
! AUTHOR: N PHILLIPS W/NP2 DATE: 30 DEC 82
!
! ABSTRACT: EXACTLY COMPUTE SATURATION VAPOR PRESSURE FROM TEMPERATURE.
! THE WATER MODEL ASSUMES A PERFECT GAS, CONSTANT SPECIFIC HEATS
! FOR GAS AND LIQUID, AND NEGLECTS THE VOLUME OF THE LIQUID.
! THE MODEL DOES ACCOUNT FOR THE VARIATION OF THE LATENT HEAT
! OF CONDENSATION WITH TEMPERATURE. THE ICE OPTION IS NOT INCLUDED.
! THE CLAUSIUS-CLAPEYRON EQUATION IS INTEGRATED FROM THE TRIPLE POINT
! TO GET THE FORMULA
! PVS=PSATK*(TR**XA)*EXP(XB*(1.-TR))
! WHERE TR IS TTP/T AND OTHER VALUES ARE PHYSICAL CONSTANTS
! THIS FUNCTION SHOULD BE EXPANDED INLINE IN THE CALLING ROUTINE.
!
! PROGRAM HISTORY LOG:
! 91-05-07 IREDELL MADE INTO INLINABLE FUNCTION
! 94-12-30 IREDELL EXACT COMPUTATION
! 96-02-19 HONG ICE EFFECT
! 01-11-29 JIN MODIFIED FOR WRF
!
! USAGE: PVS=FPVSX(T)
! REFERENCE: EMANUEL(1994),116-117
!
! INPUT ARGUMENT LIST:
! T - REAL TEMPERATURE IN KELVIN
!
! OUTPUT ARGUMENT LIST:
! FPVSX - REAL SATURATION VAPOR PRESSURE IN KILOPASCALS (CB)
!
! ATTRIBUTES:
! LANGUAGE: FORTRAN 90
!$$$
IMPLICIT NONE
!-----------------------------------------------------------------------
real, parameter :: TTP=2.7316E+2,HVAP=2.5000E+6,PSAT=6.1078E+2 &
, CLIQ=4.1855E+3,CVAP= 1.8460E+3 &
, CICE=2.1060E+3,HSUB=2.8340E+6
!
real, parameter :: PSATK=PSAT*1.E-3
real, parameter :: DLDT=CVAP-CLIQ,XA=-DLDT/RV,XB=XA+HVAP/(RV*TTP)
real, parameter :: DLDTI=CVAP-CICE &
, XAI=-DLDTI/RV,XBI=XAI+HSUB/(RV*TTP)
real T,TR
!-----------------------------------------------------------------------
TR=TTP/T
!
IF(T.GE.TTP)THEN
FPVSX=PSATK*(TR**XA)*EXP(XB*(1.-TR))
ELSE
FPVSX=PSATK*(TR**XAI)*EXP(XBI*(1.-TR))
ENDIF
!
END FUNCTION FPVSX
!-----------------------------------------------------------------------
!-----------------------------------------------------------------------
REAL FUNCTION FPVSX0(T) 3
!-----------------------------------------------------------------------
IMPLICIT NONE
real,parameter :: TTP=2.7316E+2,HVAP=2.5000E+6,PSAT=6.1078E+2 &
, CLIQ=4.1855E+3,CVAP=1.8460E+3 &
, CICE=2.1060E+3,HSUB=2.8340E+6
real,PARAMETER :: PSATK=PSAT*1.E-3
real,PARAMETER :: DLDT=CVAP-CLIQ,XA=-DLDT/RV,XB=XA+HVAP/(RV*TTP)
real,PARAMETER :: DLDTI=CVAP-CICE &
, XAI=-DLDT/RV,XBI=XA+HSUB/(RV*TTP)
real :: T,TR
!-----------------------------------------------------------------------
TR=TTP/T
FPVSX0=PSATK*(TR**XA)*EXP(XB*(1.-TR))
!
END FUNCTION FPVSX0
!
END MODULE module_mp_etaold