!########################################################################
!########################################################################
!######### #########
!######### WRF:MODULE module_cu_kfeta #########
!######### #########
!######### Adapted by #########
!######### Center for Analysis and Prediction of Storms #########
!######### University of Oklahoma #########
!######### #########
!########################################################################
!########################################################################
MODULE module_cu_kfeta 2
!------------------------------------------------------------------------
!
! AUTHOR: ???
!
! MODIFICATIONS:
!
! Fanyou Kong, April 2002
! Remove subroutine KF_eta_CPS (ARPS doesn't need), and pass ARPS input
! parameter 'kffbfct' (feedback factor) and 'kfsubsattrig' (sub-
! saturation option) into KF_eta_PARA
!
!------------------------------------------------------------------------
! USE module_wrf_error
!--------------------------------------------------------------------
IMPLICIT NONE
SAVE
!--------------------------------------------------------------------
! Lookup table variables:
INTEGER, PARAMETER :: KFNT=250,KFNP=220
REAL, DIMENSION(1:KFNT,1:KFNP) :: TTAB,QSTAB
REAL, DIMENSION(1:KFNP) :: THE0K
REAL, DIMENSION(1:200) :: ALU
REAL :: RDPR,RDTHK,PLUTOP
! Note: KF Lookup table is used by subroutines KF_eta_PARA, TPMIX2,
! TPMIX2DD, ENVIRTHT
! End of Lookup table variables:
CONTAINS
SUBROUTINE KF_eta_PARA (I, J, &,14
U0,V0,T0,QV0,P0,DZQ,W0AVG1D, &
DT,DX,DXSQ,rhoe, &
XLV0,XLV1,XLS0,XLS1,CP,R,G, &
EP2,SVP1,SVP2,SVP3,SVPT0, &
DQDT,DQIDT,DQCDT,DQRDT,DQSDT,DTDT, &
RAINCV,NCA,NTST,kffbfct,kfsubsattrig, &
P_QI,P_QS,P_FIRST_SCALAR,warm_rain, &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte)
!-----------------------------------------------------------
!***** The KF scheme that is currently used in experimental runs of EMCs
!***** Eta model....jsk 8/00
!
IMPLICIT NONE
!-----------------------------------------------------------
INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte, &
I,J,NTST,P_QI,P_QS,P_FIRST_SCALAR
INTEGER, INTENT(IN ) :: kfsubsattrig ! passed-in by ARPS
LOGICAL, INTENT(IN ) :: warm_rain
!
REAL, DIMENSION( kts:kte ), &
INTENT(IN ) :: U0, &
V0, &
T0, &
QV0, &
P0, &
rhoe, &
DZQ, &
W0AVG1D
!
REAL, INTENT(IN ) :: DT,DX,DXSQ
REAL, INTENT(IN ) :: kffbfct ! passed-in by ARPS
!
REAL, INTENT(IN ) :: XLV0,XLV1,XLS0,XLS1,CP,R,G
REAL, INTENT(IN ) :: EP2,SVP1,SVP2,SVP3,SVPT0
!
REAL, DIMENSION( kts:kte ), INTENT(INOUT) :: &
DQDT, &
DQIDT, &
DQCDT, &
DQRDT, &
DQSDT, &
DTDT
REAL, DIMENSION( ims:ime , jms:jme ), &
INTENT(INOUT) :: NCA
REAL, DIMENSION( ims:ime , jms:jme ), &
INTENT(INOUT) :: RAINCV
!
!...DEFINE LOCAL VARIABLES...
!
REAL, DIMENSION( kts:kte ) :: &
Q0,Z0,TV0,TU,TVU,QU,TZ,TVD, &
QD,QES,THTES,TG,TVG,QG,WU,WD,W0,EMS,EMSD, &
UMF,UER,UDR,DMF,DER,DDR,UMF2,UER2, &
UDR2,DMF2,DER2,DDR2,DZA,THTA0,THETEE, &
THTAU,THETEU,THTAD,THETED,QLIQ,QICE, &
QLQOUT,QICOUT,PPTLIQ,PPTICE,DETLQ,DETIC, &
DETLQ2,DETIC2,RATIO,RATIO2
REAL, DIMENSION( kts:kte ) :: &
DOMGDP,EXN,TVQU,DP,RH,EQFRC,WSPD, &
QDT,FXM,THTAG,THPA,THFXOUT, &
THFXIN,QPA,QFXOUT,QFXIN,QLPA,QLFXIN, &
QLFXOUT,QIPA,QIFXIN,QIFXOUT,QRPA, &
QRFXIN,QRFXOUT,QSPA,QSFXIN,QSFXOUT, &
QL0,QLG,QI0,QIG,QR0,QRG,QS0,QSG
REAL, DIMENSION( kts:kte+1 ) :: OMG
REAL, DIMENSION( kts:kte ) :: RAINFB,SNOWFB
REAL, DIMENSION( kts:kte ) :: &
CLDHGT,QSD,DILFRC,DDILFRC,TKE,TGU,QGU,THTEEG
! LOCAL VARS
REAL :: P00,T00,RLF,RHIC,RHBC,PIE, &
TTFRZ,TBFRZ,C5,RATE
REAL :: GDRY,ROCP,ALIQ,BLIQ, &
CLIQ,DLIQ
REAL :: FBFRC,P300,DPTHMX,THMIX,QMIX,ZMIX,PMIX, &
ROCPQ,TMIX,EMIX,TLOG,TDPT,TLCL,TVLCL, &
CPORQ,PLCL,ES,DLP,TENV,QENV,TVEN,TVBAR, &
ZLCL,WKL,WABS,TRPPT,WSIGNE,DTLCL,GDT,WLCL,&
TVAVG,QESE,WTW,RHOLCL,AU0,VMFLCL,UPOLD, &
UPNEW,ABE,WKLCL,TTEMP,FRC1, &
QNEWIC,RL,R1,QNWFRZ,EFFQ,BE,BOTERM,ENTERM,&
DZZ,UDLBE,REI,EE2,UD2,TTMP,F1,F2, &
THTTMP,QTMP,TMPLIQ,TMPICE,TU95,TU10,EE1, &
UD1,DPTT,QNEWLQ,DUMFDP,EE,TSAT, &
THTA,VCONV,TIMEC,SHSIGN,VWS,PEF, &
CBH,RCBH,PEFCBH,PEFF,PEFF2,TDER,THTMIN, &
DTMLTD,QS,TADVEC,DPDD,FRC,DPT,RDD,A1, &
DSSDT,DTMP,T1RH,QSRH,PPTFLX,CPR,CNDTNF, &
UPDINC,AINCM2,DEVDMF,PPR,RCED,DPPTDF, &
DMFLFS,DMFLFS2,RCED2,DDINC,AINCMX,AINCM1, &
AINC,TDER2,PPTFL2,FABE,STAB,DTT,DTT1, &
DTIME,TMA,TMB,TMM,BCOEFF,ACOEFF,QVDIFF, &
TOPOMG,CPM,DQ,ABEG,DABE,DFDA,FRC2,DR, &
UDFRC,TUC,QGS,RH0,RHG,QINIT,QFNL,ERR2, &
RELERR,RLC,RLS,RNC,FABEOLD,AINCOLD,UEFRC, &
DDFRC,TDC,DEFRC,RHBAR,DMFFRC,DPMIN,DILBE
REAL :: ASTRT,TP,VALUE,AINTRP,TKEMAX,QFRZ,&
QSS,PPTMLT,DTMELT,RHH,EVAC,BINC
!
INTEGER :: INDLU,NU,NUCHM,NNN,KLFS
REAL :: CHMIN,PM15,CHMAX,DTRH,RAD,DPPP
REAL :: QSLCL,RHLCL,DQSSDT ! ARPS requires (by kfsubsattrig)
INTEGER :: KX,K,KL
!
INTEGER :: NCHECK
INTEGER, DIMENSION (kts:kte) :: KCHECK
INTEGER :: ISTOP,ML,L5,KMIX,LOW, &
LC,MXLAYR,LLFC,NLAYRS,NK, &
KPBL,KLCL,LCL,LET,IFLAG, &
NK1,LTOP,NJ,LTOP1, &
LTOPM1,LVF,KSTART,KMIN,LFS, &
ND,NIC,LDB,LDT,ND1,NDK, &
NM,LMAX,NCOUNT,NOITR, &
NSTEP,NTC,NCHM,ISHALL,NSHALL
LOGICAL :: IPRNT
!
DATA P00,T00/1.E5,273.16/
DATA RLF/3.339E5/
DATA RHIC,RHBC/1.,0.90/
DATA PIE,TTFRZ,TBFRZ,C5/3.141592654,268.16,248.16,1.0723E-3/
DATA RATE/0.03/
!-----------------------------------------------------------
IPRNT=.FALSE.
GDRY=-G/CP
ROCP=R/CP
NSHALL = 0
KL=kte
KX=kte
!
! ALIQ = 613.3
! BLIQ = 17.502
! CLIQ = 4780.8
! DLIQ = 32.19
ALIQ = SVP1*1000.
BLIQ = SVP2
CLIQ = SVP2*SVPT0
DLIQ = SVP3
!
!
!****************************************************************************
! ! PPT FB MODS
!...OPTION TO FEED CONVECTIVELY GENERATED RAINWATER ! PPT FB MODS
!...INTO GRID-RESOLVED RAINWATER (OR SNOW/GRAUPEL) ! PPT FB MODS
!...FIELD. "FBFRC" IS THE FRACTION OF AVAILABLE ! PPT FB MODS
!...PRECIPITATION TO BE FED BACK (0.0 - 1.0)... ! PPT FB MODS
! FBFRC=0.0 ! PPT FB MODS
FBFRC=kffbfct ! PPT FB MODS
!...mods to allow shallow convection...
NCHM = 0
ISHALL = 0
DPMIN = 5.E3
!...
P300=P0(1)-30000.
!
!...PRESSURE PERTURBATION TERM IS ONLY DEFINED AT MID-POINT OF
!...VERTICAL LAYERS...SINCE TOTAL PRESSURE IS NEEDED AT THE TOP AND
!...BOTTOM OF LAYERS BELOW, DO AN INTERPOLATION...
!
!...INPUT A VERTICAL SOUNDING ... NOTE THAT MODEL LAYERS ARE NUMBERED
!...FROM BOTTOM-UP IN THE KF SCHEME...
!
ML=0
!SUE tmprpsb=1./PSB(I,J)
!SUE CELL=PTOP*tmprpsb
!
DO K=1,KX
!
!...IF Q0 IS ABOVE SATURATION VALUE, REDUCE IT TO SATURATION LEVEL...
!
ES=ALIQ*EXP((BLIQ*T0(K)-CLIQ)/(T0(K)-DLIQ))
QES(K)=0.622*ES/(P0(K)-ES)
Q0(K)=AMIN1(QES(K),QV0(K))
Q0(K)=AMAX1(0.000001,Q0(K))
QL0(K)=0.
QI0(K)=0.
QR0(K)=0.
QS0(K)=0.
RH(K) = Q0(K)/QES(K)
DILFRC(K) = 1.
TV0(K)=T0(K)*(1.+0.608*Q0(K))
! RHOE(K)=P0(K)/(R*TV0(K))
! DP IS THE PRESSURE INTERVAL BETWEEN FULL SIGMA LEVELS...
DP(K)=rhoe(k)*g*DZQ(k)
! IF Turbulent Kinetic Energy (TKE) is available from turbulent mixing scheme
! use it for shallow convection...For now, assume it is not available....
! TKE(K) = Q2(I,J,NK)
TKE(K) = 0.
CLDHGT(K) = 0.
IF(P0(K).GE.500E2)L5=K
IF(P0(K).GE.P300)LLFC=K
IF(T0(K).GT.T00)ML=K
ENDDO
!
!...DZQ IS DZ BETWEEN SIGMA SURFACES, DZA IS DZ BETWEEN MODEL HALF LEVEL
Z0(1)=.5*DZQ(1)
DO K=2,KL
Z0(K)=Z0(K-1)+.5*(DZQ(K)+DZQ(K-1))
DZA(K-1)=Z0(K)-Z0(K-1)
ENDDO
DZA(KL)=0.
!
!
! To save time, specify a pressure interval to move up in sequential
! check of different ~50 mb deep groups of adjacent model layers in
! the process of identifying updraft source layer (USL). Note that
! this search is terminated as soon as a buoyant parcel is found and
! this parcel can produce a cloud greater than specifed minimum depth
! (CHMIN)...For now, set interval at 15 mb...
!
NCHECK = 1
KCHECK(NCHECK)=1
PM15 = P0(1)-15.E2
DO K=2,LLFC
IF(P0(K).LT.PM15)THEN
NCHECK = NCHECK+1
KCHECK(NCHECK) = K
PM15 = PM15-15.E2
ENDIF
ENDDO
!
NU=0
NUCHM=0
usl: DO
NU = NU+1
IF(NU.GT.NCHECK)THEN
IF(ISHALL.EQ.1)THEN
CHMAX = 0.
NCHM = 0
DO NK = 1,NCHECK
NNN=KCHECK(NK)
IF(CLDHGT(NNN).GT.CHMAX)THEN
NCHM = NNN
NUCHM = NK
CHMAX = CLDHGT(NNN)
ENDIF
ENDDO
NU = NUCHM-1
FBFRC=1.
CYCLE usl
ELSE
RETURN
ENDIF
ENDIF
KMIX = KCHECK(NU)
LOW=KMIX
!...
LC = LOW
!
!...ASSUME THAT IN ORDER TO SUPPORT A DEEP UPDRAFT YOU NEED A LAYER OF
!...UNSTABLE AIR AT LEAST 50 mb DEEP...TO APPROXIMATE THIS, ISOLATE A
!...GROUP OF ADJACENT INDIVIDUAL MODEL LAYERS, WITH THE BASE AT LEVEL
!...LC, SUCH THAT THE COMBINED DEPTH OF THESE LAYERS IS AT LEAST 50 mb..
!
NLAYRS=0
DPTHMX=0.
NK=LC-1
DO
NK=NK+1
DPTHMX=DPTHMX+DP(NK)
NLAYRS=NLAYRS+1
IF(DPTHMX.GT.DPMIN)THEN
EXIT
ENDIF
END DO
IF(DPTHMX.LT.DPMIN)THEN
RETURN
ENDIF
KPBL=LC+NLAYRS-1
!
!...********************************************************
!...for computational simplicity without much loss in accuracy,
!...mix temperature instead of theta for evaluating convective
!...initiation (triggering) potential...
! THMIX=0.
TMIX=0.
QMIX=0.
ZMIX=0.
PMIX=0.
!
!...FIND THE THERMODYNAMIC CHARACTERISTICS OF THE LAYER BY
!...MASS-WEIGHTING THE CHARACTERISTICS OF THE INDIVIDUAL MODEL
!...LAYERS...
!
DO NK=LC,KPBL
TMIX=TMIX+DP(NK)*T0(NK)
QMIX=QMIX+DP(NK)*Q0(NK)
ZMIX=ZMIX+DP(NK)*Z0(NK)
PMIX=PMIX+DP(NK)*P0(NK)
ENDDO
! THMIX=THMIX/DPTHMX
TMIX=TMIX/DPTHMX
QMIX=QMIX/DPTHMX
ZMIX=ZMIX/DPTHMX
PMIX=PMIX/DPTHMX
EMIX=QMIX*PMIX/(0.622+QMIX)
!
!...FIND THE TEMPERATURE OF THE MIXTURE AT ITS LCL...
!
! TLOG=ALOG(EMIX/ALIQ)
! ...calculate dewpoint using lookup table...
!
astrt=1.e-3
ainc=0.075
a1=emix/aliq
tp=(a1-astrt)/ainc
indlu=int(tp)+1
value=(indlu-1)*ainc+astrt
aintrp=(a1-value)/ainc
tlog=aintrp*alu(indlu+1)+(1-aintrp)*alu(indlu)
TDPT=(CLIQ-DLIQ*TLOG)/(BLIQ-TLOG)
TLCL=TDPT-(.212+1.571E-3*(TDPT-T00)-4.36E-4*(TMIX-T00))*(TMIX-TDPT)
TLCL=AMIN1(TLCL,TMIX)
TVLCL=TLCL*(1.+0.608*QMIX)
ZLCL = ZMIX+(TLCL-TMIX)/GDRY
NK = LC-1
DO
NK = NK+1
KLCL=NK
IF(ZLCL.LE.Z0(NK) .or. NK.GT.KL)THEN
EXIT
ENDIF
ENDDO
IF(NK.GT.KL)THEN
RETURN
ENDIF
K=KLCL-1
DLP=(ZLCL-Z0(K))/(Z0(KLCL)-Z0(K))
!
!...ESTIMATE ENVIRONMENTAL TEMPERATURE AND MIXING RATIO AT THE LCL...
!
TENV=T0(K)+(T0(KLCL)-T0(K))*DLP
QENV=Q0(K)+(Q0(KLCL)-Q0(K))*DLP
TVEN=TENV*(1.+0.608*QENV)
!
!...CHECK TO SEE IF CLOUD IS BUOYANT USING FRITSCH-CHAPPELL TRIGGER
!...FUNCTION DESCRIBED IN KAIN AND FRITSCH (1992)...W0 IS AN
!...APROXIMATE VALUE FOR THE RUNNING-MEAN GRID-SCALE VERTICAL
!...VELOCITY, WHICH GIVES SMOOTHER FIELDS OF CONVECTIVE INITIATION
!...THAN THE INSTANTANEOUS VALUE...FORMULA RELATING TEMPERATURE
!...PERTURBATION TO VERTICAL VELOCITY HAS BEEN USED WITH THE MOST
!...SUCCESS AT GRID LENGTHS NEAR 25 km. FOR DIFFERENT GRID-LENGTHS,
!...ADJUST VERTICAL VELOCITY TO EQUIVALENT VALUE FOR 25 KM GRID
!...LENGTH, ASSUMING LINEAR DEPENDENCE OF W ON GRID LENGTH...
!
IF(ZLCL.LT.2.E3)THEN
WKLCL=0.02*ZLCL/2.E3
ELSE
WKLCL=0.02
ENDIF
WKL=(W0AVG1D(K)+(W0AVG1D(KLCL)-W0AVG1D(K))*DLP)*DX/25.E3-WKLCL
WABS=ABS(WKL)
IF(WABS.EQ.0.)THEN
WSIGNE=1.
DTLCL=0.
ELSE
WSIGNE=WKL/WABS
DTLCL=4.64*WSIGNE*WABS**0.33
DTLCL = AMAX1(DTLCL,0.)
ENDIF
!
!...for ETA model, give parcel an extra temperature perturbation based
!...the threshold RH for condensation (U00)...
!
!...for now, just assume U00=0.75...
!...!!!!!! for MM5, SET DTRH = 0. !!!!!!!!
DTRH = 0.
IF(kfsubsattrig == 1) THEN ! ARPS pass-in kfsubsattrig to
! activate sub-saturation
! U00 = 0.75
! IF(U00.lt.1.)THEN
QSLCL=QES(K)+(QES(KLCL)-QES(K))*DLP
RHLCL = QENV/QSLCL
DQSSDT = QMIX*(CLIQ-BLIQ*DLIQ)/((TLCL-DLIQ)*(TLCL-DLIQ))
IF(RHLCL.ge.0.75 .and. RHLCL.le.0.95)then
DTRH = 0.25*(RHLCL-0.75)*QMIX/DQSSDT
ELSEIF(RHLCL.GT.0.95)THEN
DTRH = (1./RHLCL-1.)*QMIX/DQSSDT
ELSE
DTRH = 0.
ENDIF
! ENDIF
ENDIF
! IF(ISHALL.EQ.1)IPRNT=.TRUE.
! IPRNT=.TRUE.
! IF(TLCL+DTLCL.GT.TENV)GOTO 45
!
trigger: IF(TLCL+DTLCL+DTRH.LT.TENV)THEN
!
! Parcel not buoyant, CYCLE back to start of trigger and evaluate next potential USL...
!
CYCLE usl
!
ELSE ! Parcel is buoyant, determine updraft
!
!...CONVECTIVE TRIGGERING CRITERIA HAS BEEN SATISFIED...COMPUTE
!...EQUIVALENT POTENTIAL TEMPERATURE
!...(THETEU) AND VERTICAL VELOCITY OF THE RISING PARCEL AT THE LCL...
!
CALL ENVIRTHT
(PMIX,TMIX,QMIX,THETEU(K),ALIQ,BLIQ,CLIQ,DLIQ)
!
!...modify calculation of initial parcel vertical velocity...jsk 11/26/97
! GDT=G*DTLCL*(ZLCL-Z00(LC))/(TV0(LC)+TVEN)
! WLCL=1.+.5*WSIGNE*SQRT(ABS(GDT)+1.E-10)
GDT=2.*G*(DTLCL+DTRH)*500./TVEN
! WLCL=1.+0.5*WSIGNE*SQRT(ABS(GDT)+1.E-10)
WLCL=1.+0.5*SQRT(ABS(GDT)+1.E-10)
! WLCL = AMIN1(WLCL,5.)
! WLCL = AMIN1(WLCL,4.)
WLCL = AMIN1(WLCL,3.)
PLCL=P0(K)+(P0(KLCL)-P0(K))*DLP
WTW=WLCL*WLCL
!
TVLCL=TLCL*(1.+0.608*QMIX)
RHOLCL=PLCL/(R*TVLCL)
!
LCL=KLCL
LET=LCL
! make RAD a function of background vertical velocity...
IF(WKL.LT.0.)THEN
RAD = 1000.
ELSEIF(WKL.GT.0.1)THEN
RAD = 2000.
ELSE
RAD = 1000.+1000*WKL/0.1
ENDIF
!
!*******************************************************************
! *
! COMPUTE UPDRAFT PROPERTIES *
! *
!*******************************************************************
!
!
!...
!...ESTIMATE INITIAL UPDRAFT MASS FLUX (UMF(K))...
!
WU(K)=WLCL
AU0=PIE*RAD*RAD
UMF(K)=RHOLCL*AU0
VMFLCL=UMF(K)
UPOLD=VMFLCL
UPNEW=UPOLD
!
!...RATIO2 IS THE DEGREE OF GLACIATION IN THE CLOUD (0 TO 1),
!...UER IS THE ENVIR ENTRAINMENT RATE, ABE IS AVAILABLE
!...BUOYANT ENERGY, TRPPT IS THE TOTAL RATE OF PRECIPITATION
!...PRODUCTION...
!
RATIO2(K)=0.
UER(K)=0.
ABE=0.
TRPPT=0.
TU(K)=TLCL
TVU(K)=TVLCL
QU(K)=QMIX
EQFRC(K)=1.
QLIQ(K)=0.
QICE(K)=0.
QLQOUT(K)=0.
QICOUT(K)=0.
DETLQ(K)=0.
DETIC(K)=0.
PPTLIQ(K)=0.
PPTICE(K)=0.
IFLAG=0
!
!...TTEMP IS USED DURING CALCULATION OF THE LINEAR GLACIATION
!...PROCESS; IT IS INITIALLY SET TO THE TEMPERATURE AT WHICH
!...FREEZING IS SPECIFIED TO BEGIN. WITHIN THE GLACIATION
!...INTERVAL, IT IS SET EQUAL TO THE UPDRAFT TEMP AT THE
!...PREVIOUS MODEL LEVEL...
!
TTEMP=TTFRZ
!
!...ENTER THE LOOP FOR UPDRAFT CALCULATIONS...CALCULATE UPDRAFT TEMP,
!...MIXING RATIO, VERTICAL MASS FLUX, LATERAL DETRAINMENT OF MASS AND
!...MOISTURE, PRECIPITATION RATES AT EACH MODEL LEVEL...
!
!
EE1=1.
UD1=0.
REI = 0.
DILBE = 0.
updraft: DO NK=K,KL-1
NK1=NK+1
RATIO2(NK1)=RATIO2(NK)
FRC1=0.
TU(NK1)=T0(NK1)
THETEU(NK1)=THETEU(NK)
QU(NK1)=QU(NK)
QLIQ(NK1)=QLIQ(NK)
QICE(NK1)=QICE(NK)
call tpmix2(p0(nk1),theteu(nk1),tu(nk1),qu(nk1),qliq(nk1), &
qice(nk1),qnewlq,qnewic,XLV1,XLV0)
!
!...CHECK TO SEE IF UPDRAFT TEMP IS ABOVE THE TEMPERATURE AT WHICH
!...GLACIATION IS ASSUMED TO INITIATE; IF IT IS, CALCULATE THE
!...FRACTION OF REMAINING LIQUID WATER TO FREEZE...TTFRZ IS THE
!...TEMP AT WHICH FREEZING BEGINS, TBFRZ THE TEMP BELOW WHICH ALL
!...LIQUID WATER IS FROZEN AT EACH LEVEL...
!
IF(TU(NK1).LE.TTFRZ)THEN
IF(TU(NK1).GT.TBFRZ)THEN
IF(TTEMP.GT.TTFRZ)TTEMP=TTFRZ
FRC1=(TTEMP-TU(NK1))/(TTEMP-TBFRZ)
ELSE
FRC1=1.
IFLAG=1
ENDIF
TTEMP=TU(NK1)
!
! DETERMINE THE EFFECTS OF LIQUID WATER FREEZING WHEN TEMPERATURE
!...IS BELOW TTFRZ...
!
QFRZ = (QLIQ(NK1)+QNEWLQ)*FRC1
QNEWIC=QNEWIC+QNEWLQ*FRC1
QNEWLQ=QNEWLQ-QNEWLQ*FRC1
QICE(NK1) = QICE(NK1)+QLIQ(NK1)*FRC1
QLIQ(NK1) = QLIQ(NK1)-QLIQ(NK1)*FRC1
CALL DTFRZNEW(TU(NK1),P0(NK1),THETEU(NK1),QU(NK1),QFRZ, &
QICE(NK1),ALIQ,BLIQ,CLIQ,DLIQ)
ENDIF
TVU(NK1)=TU(NK1)*(1.+0.608*QU(NK1))
!
! CALCULATE UPDRAFT VERTICAL VELOCITY AND PRECIPITATION FALLOUT...
!
IF(NK.EQ.K)THEN
BE=(TVLCL+TVU(NK1))/(TVEN+TV0(NK1))-1.
BOTERM=2.*(Z0(NK1)-ZLCL)*G*BE/1.5
! ENTERM=0.
DZZ=Z0(NK1)-ZLCL
ELSE
BE=(TVU(NK)+TVU(NK1))/(TV0(NK)+TV0(NK1))-1.
BOTERM=2.*DZA(NK)*G*BE/1.5
! ENTERM=2.*UER(NK)*WTW/UPOLD
DZZ=DZA(NK)
ENDIF
ENTERM=2.*REI*WTW/UPOLD
CALL CONDLOAD(QLIQ(NK1),QICE(NK1),WTW,DZZ,BOTERM,ENTERM, &
RATE,QNEWLQ,QNEWIC,QLQOUT(NK1),QICOUT(NK1),G)
WABS=SQRT(ABS(WTW))
WU(NK1)=WTW/WABS
!
!...IF VERT VELOCITY IS LESS THAN ZERO, EXIT THE UPDRAFT LOOP AND,
!...IF CLOUD IS TALL ENOUGH, FINALIZE UPDRAFT CALCULATIONS...
!
IF(WU(NK1).LT.0.)THEN
EXIT
ENDIF
!
!...Calculate value of THETA-E in environment to entrain into updraft...
!
CALL ENVIRTHT(P0(NK1),T0(NK1),Q0(NK1),THETEE(NK1),ALIQ,BLIQ,CLIQ,DLIQ)
!
!...REI IS THE RATE OF ENVIRONMENTAL INFLOW...
!
REI=VMFLCL*DP(NK1)*0.03/RAD
TVQU(NK1)=TU(NK1)*(1.+0.608*QU(NK1)-QLIQ(NK1)-QICE(NK1))
IF(NK.EQ.K)THEN
DILBE=((TVLCL+TVQU(NK1))/(TVEN+TV0(NK1))-1.)*DZZ
ELSE
DILBE=((TVQU(NK)+TVQU(NK1))/(TV0(NK)+TV0(NK1))-1.)*DZZ
ENDIF
IF(DILBE.GT.0.)ABE=ABE+DILBE*G
!
!...IF CLOUD PARCELS ARE VIRTUALLY COLDER THAN THE ENVIRONMENT, MINIMAL
!...ENTRAINMENT (0.5*REI) IS IMPOSED...
!
IF(TVQU(NK1).LE.TV0(NK1))THEN ! Entrain/Detrain IF BLOCK
EE2=0.5
UD2=1.
EQFRC(NK1)=0.
ELSE
LET=NK1
TTMP=TVQU(NK1)
!
!...DETERMINE THE CRITICAL MIXED FRACTION OF UPDRAFT AND ENVIRONMENTAL AIR...
!
F1=0.95
F2=1.-F1
THTTMP=F1*THETEE(NK1)+F2*THETEU(NK1)
QTMP=F1*Q0(NK1)+F2*QU(NK1)
TMPLIQ=F2*QLIQ(NK1)
TMPICE=F2*QICE(NK1)
call tpmix2(p0(nk1),thttmp,ttmp,qtmp,tmpliq,tmpice, &
qnewlq,qnewic,XLV1,XLV0)
TU95=TTMP*(1.+0.608*QTMP-TMPLIQ-TMPICE)
IF(TU95.GT.TV0(NK1))THEN
EE2=1.
UD2=0.
EQFRC(NK1)=1.0
ELSE
F1=0.10
F2=1.-F1
THTTMP=F1*THETEE(NK1)+F2*THETEU(NK1)
QTMP=F1*Q0(NK1)+F2*QU(NK1)
TMPLIQ=F2*QLIQ(NK1)
TMPICE=F2*QICE(NK1)
call tpmix2(p0(nk1),thttmp,ttmp,qtmp,tmpliq,tmpice, &
qnewlq,qnewic,XLV1,XLV0)
TU10=TTMP*(1.+0.608*QTMP-TMPLIQ-TMPICE)
IF(TU10.EQ.TVQU(NK1))THEN
EE2=1.
UD2=0.
EQFRC(NK1)=1.0
ELSE
EQFRC(NK1)=(TV0(NK1)-TVQU(NK1))*F1/(TU10-TVQU(NK1))
EQFRC(NK1)=AMAX1(0.0,EQFRC(NK1))
EQFRC(NK1)=AMIN1(1.0,EQFRC(NK1))
IF(EQFRC(NK1).EQ.1)THEN
EE2=1.
UD2=0.
ELSEIF(EQFRC(NK1).EQ.0.)THEN
EE2=0.
UD2=1.
ELSE
!
!...SUBROUTINE PROF5 INTEGRATES OVER THE GAUSSIAN DIST TO DETERMINE THE
! FRACTIONAL ENTRAINMENT AND DETRAINMENT RATES...
!
CALL PROF5(EQFRC(NK1),EE2,UD2)
ENDIF
ENDIF
ENDIF
ENDIF ! End of Entrain/Detrain IF BLOCK
!
!
!...NET ENTRAINMENT AND DETRAINMENT RATES ARE GIVEN BY THE AVERAGE FRACTIONAL
! VALUES IN THE LAYER...
!
EE2 = AMAX1(EE2,0.5)
UD2 = 1.5*UD2
UER(NK1)=0.5*REI*(EE1+EE2)
UDR(NK1)=0.5*REI*(UD1+UD2)
!
!...IF THE CALCULATED UPDRAFT DETRAINMENT RATE IS GREATER THAN THE TOTAL
! UPDRAFT MASS FLUX, ALL CLOUD MASS DETRAINS, EXIT UPDRAFT CALCULATIONS...
!
IF(UMF(NK)-UDR(NK1).LT.10.)THEN
!
!...IF THE CALCULATED DETRAINED MASS FLUX IS GREATER THAN THE TOTAL UPD MASS
! FLUX, IMPOSE TOTAL DETRAINMENT OF UPDRAFT MASS AT THE PREVIOUS MODEL LVL..
! First, correct ABE calculation if needed...
!
IF(DILBE.GT.0.)THEN
ABE=ABE-DILBE*G
ENDIF
LET=NK
! WRITE(98,1015)P0(NK1)/100.
EXIT
ELSE
EE1=EE2
UD1=UD2
UPOLD=UMF(NK)-UDR(NK1)
UPNEW=UPOLD+UER(NK1)
UMF(NK1)=UPNEW
DILFRC(NK1) = UPNEW/UPOLD
!
!...DETLQ AND DETIC ARE THE RATES OF DETRAINMENT OF LIQUID AND
!...ICE IN THE DETRAINING UPDRAFT MASS...
!
DETLQ(NK1)=QLIQ(NK1)*UDR(NK1)
DETIC(NK1)=QICE(NK1)*UDR(NK1)
QDT(NK1)=QU(NK1)
QU(NK1)=(UPOLD*QU(NK1)+UER(NK1)*Q0(NK1))/UPNEW
THETEU(NK1)=(THETEU(NK1)*UPOLD+THETEE(NK1)*UER(NK1))/UPNEW
QLIQ(NK1)=QLIQ(NK1)*UPOLD/UPNEW
QICE(NK1)=QICE(NK1)*UPOLD/UPNEW
!
!...PPTLIQ IS THE RATE OF GENERATION (FALLOUT) OF
!...LIQUID PRECIP AT A GIVEN MODEL LVL, PPTICE THE SAME FOR ICE,
!...TRPPT IS THE TOTAL RATE OF PRODUCTION OF PRECIP UP TO THE
!...CURRENT MODEL LEVEL...
!
PPTLIQ(NK1)=QLQOUT(NK1)*UMF(NK)
PPTICE(NK1)=QICOUT(NK1)*UMF(NK)
!
TRPPT=TRPPT+PPTLIQ(NK1)+PPTICE(NK1)
IF(NK1.LE.KPBL)UER(NK1)=UER(NK1)+VMFLCL*DP(NK1)/DPTHMX
ENDIF
!
END DO updraft
!
!...CHECK CLOUD DEPTH...IF CLOUD IS TALL ENOUGH, ESTIMATE THE EQUILIBRIU
! TEMPERATURE LEVEL (LET) AND ADJUST MASS FLUX PROFILE AT CLOUD TOP SO
! THAT MASS FLUX DECREASES TO ZERO AS A LINEAR FUNCTION OF PRESSURE BE
! THE LET AND CLOUD TOP...
!
!...LTOP IS THE MODEL LEVEL JUST BELOW THE LEVEL AT WHICH VERTICAL VELOC
! FIRST BECOMES NEGATIVE...
!
LTOP=NK
CLDHGT(LC)=Z0(LTOP)-ZLCL
!...Instead of using the same minimum cloud height (for deep convection)
!...everywhere, try specifying minimum cloud depth as a function of TLCL...
!
IF(TLCL.GT.293.)THEN
CHMIN = 4.E3
ELSEIF(TLCL.LE.293. .and. TLCL.GE.273)THEN
CHMIN = 2.E3 + 100.*(TLCL-273.)
ELSEIF(TLCL.LT.273.)THEN
CHMIN = 2.E3
ENDIF
!
!...If cloud top height is less than the specified minimum for deep
!...convection, save value to consider this level as source for
!...shallow convection, go back up to check next level...
!
!...Try specifying minimum cloud depth as a function of TLCL...
!
!
!...DO NOT ALLOW ANY CLOUD FROM THIS LAYER IF:
!
!... 1.) if there is no CAPE, or
!... 2.) cloud top is at model level just above LCL, or
!... 3.) cloud top is within updraft source layer, or
!... 4.) cloud-top detrainment layer begins within
!... updraft source layer.
!
IF(LTOP.LE.KLCL .or. LTOP.LE.KPBL .or. LET+1.LE.KPBL)THEN ! No Convection Allowed
CLDHGT(LC)=0.
DO NK=K,LTOP
UMF(NK)=0.
UDR(NK)=0.
UER(NK)=0.
DETLQ(NK)=0.
DETIC(NK)=0.
PPTLIQ(NK)=0.
PPTICE(NK)=0.
ENDDO
!
ELSEIF(CLDHGT(LC).GT.CHMIN .and. ABE.GT.1)THEN ! Deep Convection allowed
ISHALL=0
EXIT usl
ELSE
!
!...TO DISALLOW SHALLOW CONVECTION, COMMENT OUT NEXT LINE !!!!!!!!
ISHALL = 1
IF(NU.EQ.NUCHM)THEN
EXIT usl ! Shallow Convection from this layer
ELSE
! Remember this layer (by virtue of non-zero CLDHGT) as potential shallow-cloud layer
DO NK=K,LTOP
UMF(NK)=0.
UDR(NK)=0.
UER(NK)=0.
DETLQ(NK)=0.
DETIC(NK)=0.
PPTLIQ(NK)=0.
PPTICE(NK)=0.
ENDDO
ENDIF
ENDIF
ENDIF trigger
END DO usl
IF(ISHALL.EQ.1)THEN
KSTART=MAX0(KPBL,KLCL)
LET=KSTART
endif
!
!...IF THE LET AND LTOP ARE THE SAME, DETRAIN ALL OF THE UPDRAFT MASS FL
! THIS LEVEL...
!
IF(LET.EQ.LTOP)THEN
UDR(LTOP)=UMF(LTOP)+UDR(LTOP)-UER(LTOP)
DETLQ(LTOP)=QLIQ(LTOP)*UDR(LTOP)*UPNEW/UPOLD
DETIC(LTOP)=QICE(LTOP)*UDR(LTOP)*UPNEW/UPOLD
UER(LTOP)=0.
UMF(LTOP)=0.
ELSE
!
! BEGIN TOTAL DETRAINMENT AT THE LEVEL ABOVE THE LET...
!
DPTT=0.
DO NJ=LET+1,LTOP
DPTT=DPTT+DP(NJ)
ENDDO
DUMFDP=UMF(LET)/DPTT
!
!...ADJUST MASS FLUX PROFILES, DETRAINMENT RATES, AND PRECIPITATION FALL
! RATES TO REFLECT THE LINEAR DECREASE IN MASS FLX BETWEEN THE LET AND
!
DO NK=LET+1,LTOP
!
!...entrainment is allowed at every level except for LTOP, so disallow
!...entrainment at LTOP and adjust entrainment rates between LET and LTOP
!...so the the dilution factor due to entyrianment is not changed but
!...the actual entrainment rate will change due due forced total
!...detrainment in this layer...
!
IF(NK.EQ.LTOP)THEN
UDR(NK) = UMF(NK-1)
UER(NK) = 0.
DETLQ(NK) = UDR(NK)*QLIQ(NK)*DILFRC(NK)
DETIC(NK) = UDR(NK)*QICE(NK)*DILFRC(NK)
ELSE
UMF(NK)=UMF(NK-1)-DP(NK)*DUMFDP
UER(NK)=UMF(NK)*(1.-1./DILFRC(NK))
UDR(NK)=UMF(NK-1)-UMF(NK)+UER(NK)
DETLQ(NK)=UDR(NK)*QLIQ(NK)*DILFRC(NK)
DETIC(NK)=UDR(NK)*QICE(NK)*DILFRC(NK)
ENDIF
IF(NK.GE.LET+2)THEN
TRPPT=TRPPT-PPTLIQ(NK)-PPTICE(NK)
PPTLIQ(NK)=UMF(NK-1)*QLQOUT(NK)
PPTICE(NK)=UMF(NK-1)*QICOUT(NK)
TRPPT=TRPPT+PPTLIQ(NK)+PPTICE(NK)
ENDIF
ENDDO
ENDIF
!
! Initialize some arrays below cloud base and above cloud top...
!
DO NK=1,K
IF(NK.GE.LC)THEN
IF(NK.EQ.LC)THEN
UMF(NK)=VMFLCL*DP(NK)/DPTHMX
UER(NK)=VMFLCL*DP(NK)/DPTHMX
ELSEIF(NK.LE.KPBL)THEN
UER(NK)=VMFLCL*DP(NK)/DPTHMX
UMF(NK)=UMF(NK-1)+UER(NK)
ELSE
UMF(NK)=VMFLCL
UER(NK)=0.
ENDIF
TU(NK)=TMIX+(Z0(NK)-ZMIX)*GDRY
QU(NK)=QMIX
WU(NK)=WLCL
ELSE
TU(NK)=0.
QU(NK)=0.
UMF(NK)=0.
WU(NK)=0.
UER(NK)=0.
ENDIF
UDR(NK)=0.
QDT(NK)=0.
QLIQ(NK)=0.
QICE(NK)=0.
QLQOUT(NK)=0.
QICOUT(NK)=0.
PPTLIQ(NK)=0.
PPTICE(NK)=0.
DETLQ(NK)=0.
DETIC(NK)=0.
RATIO2(NK)=0.
CALL ENVIRTHT(P0(NK),T0(NK),Q0(NK),THETEE(NK),ALIQ,BLIQ,CLIQ,DLIQ)
EQFRC(NK)=1.0
ENDDO
!
LTOP1=LTOP+1
LTOPM1=LTOP-1
!
!...DEFINE VARIABLES ABOVE CLOUD TOP...
!
DO NK=LTOP1,KX
UMF(NK)=0.
UDR(NK)=0.
UER(NK)=0.
QDT(NK)=0.
QLIQ(NK)=0.
QICE(NK)=0.
QLQOUT(NK)=0.
QICOUT(NK)=0.
DETLQ(NK)=0.
DETIC(NK)=0.
PPTLIQ(NK)=0.
PPTICE(NK)=0.
IF(NK.GT.LTOP1)THEN
TU(NK)=0.
QU(NK)=0.
WU(NK)=0.
ENDIF
THTA0(NK)=0.
THTAU(NK)=0.
EMS(NK)=0.
EMSD(NK)=0.
TG(NK)=T0(NK)
QG(NK)=Q0(NK)
QLG(NK)=0.
QIG(NK)=0.
QRG(NK)=0.
QSG(NK)=0.
OMG(NK)=0.
ENDDO
OMG(KX+1)=0.
DO NK=1,LTOP
EMS(NK)=DP(NK)*DXSQ/G
EMSD(NK)=1./EMS(NK)
!
!...INITIALIZE SOME VARIABLES TO BE USED LATER IN THE VERT ADVECTION SCH
!
EXN(NK)=(P00/P0(NK))**(0.2854*(1.-0.28*QDT(NK)))
THTAU(NK)=TU(NK)*EXN(NK)
EXN(NK)=(P00/P0(NK))**(0.2854*(1.-0.28*Q0(NK)))
THTA0(NK)=T0(NK)*EXN(NK)
DDILFRC(NK) = 1./DILFRC(NK)
OMG(NK)=0.
ENDDO
! IF (XTIME.LT.10.)THEN
! WRITE(98,1025)KLCL,ZLCL,DTLCL,LTOP,P0(LTOP),IFLAG,
! * TMIX-T00,PMIX,QMIX,ABE
! WRITE(98,1030)P0(LET)/100.,P0(LTOP)/100.,VMFLCL,PLCL/100.,
! * WLCL,CLDHGT
! ENDIF
!
!...COMPUTE CONVECTIVE TIME SCALE(TIMEC). THE MEAN WIND AT THE LCL
!...AND MIDTROPOSPHERE IS USED.
!
WSPD(KLCL)=SQRT(U0(KLCL)*U0(KLCL)+V0(KLCL)*V0(KLCL))
WSPD(L5)=SQRT(U0(L5)*U0(L5)+V0(L5)*V0(L5))
WSPD(LTOP)=SQRT(U0(LTOP)*U0(LTOP)+V0(LTOP)*V0(LTOP))
VCONV=.5*(WSPD(KLCL)+WSPD(L5))
!...for ETA model, DX is a function of location...
! TIMEC=DX(I,J)/VCONV
TIMEC=DX/VCONV
TADVEC=TIMEC
TIMEC=AMAX1(1800.,TIMEC)
TIMEC=AMIN1(3600.,TIMEC)
IF(ISHALL.EQ.1)TIMEC=2400.
NIC=NINT(TIMEC/DT)
TIMEC=FLOAT(NIC)*DT
!
!...COMPUTE WIND SHEAR AND PRECIPITATION EFFICIENCY.
!
IF(WSPD(LTOP).GT.WSPD(KLCL))THEN
SHSIGN=1.
ELSE
SHSIGN=-1.
ENDIF
VWS=(U0(LTOP)-U0(KLCL))*(U0(LTOP)-U0(KLCL))+(V0(LTOP)-V0(KLCL))* &
(V0(LTOP)-V0(KLCL))
VWS=1.E3*SHSIGN*SQRT(VWS)/(Z0(LTOP)-Z0(LCL))
PEF=1.591+VWS*(-.639+VWS*(9.53E-2-VWS*4.96E-3))
PEF=AMAX1(PEF,.2)
PEF=AMIN1(PEF,.9)
!
!...PRECIPITATION EFFICIENCY IS A FUNCTION OF THE HEIGHT OF CLOUD BASE.
!
CBH=(ZLCL-Z0(1))*3.281E-3
IF(CBH.LT.3.)THEN
RCBH=.02
ELSE
RCBH=.96729352+CBH*(-.70034167+CBH*(.162179896+CBH*(- &
1.2569798E-2+CBH*(4.2772E-4-CBH*5.44E-6))))
ENDIF
IF(CBH.GT.25)RCBH=2.4
PEFCBH=1./(1.+RCBH)
PEFCBH=AMIN1(PEFCBH,.9)
!
!... MEAN PEF. IS USED TO COMPUTE RAINFALL.
!
PEFF=.5*(PEF+PEFCBH)
PEFF2 = PEFF ! JSK MODS
IF(IPRNT)THEN
WRITE(98,1035)PEF,PEFCBH,LC,LET,WKL,VWS
! call flush(98)
endif
! WRITE(98,1035)PEF,PEFCBH,LC,LET,WKL,VWS
!*****************************************************************
! *
! COMPUTE DOWNDRAFT PROPERTIES *
! *
!*****************************************************************
!
!
TDER=0.
devap:IF(ISHALL.EQ.1)THEN
LFS = 1
ELSE
!
!...start downdraft about 150 mb above cloud base...
!
! KSTART=MAX0(KPBL,KLCL)
! KSTART=KPBL ! Changed 7/23/99
KSTART=KPBL+1 ! Changed 7/23/99
DO NK = KSTART+1,KL
DPPP = P0(KSTART)-P0(NK)
! IF(DPPP.GT.200.E2)THEN
IF(DPPP.GT.150.E2)THEN
KLFS = NK
EXIT
ENDIF
ENDDO
KLFS = MIN0(KLFS,LET-1)
LFS = KLFS
!
!...if LFS is not at least 50 mb above cloud base (implying that the
!...level of equil temp, LET, is just above cloud base) do not allow a
!...downdraft...
!
IF((P0(KSTART)-P0(LFS)).GT.50.E2)THEN
THETED(LFS) = THETEE(LFS)
QD(LFS) = Q0(LFS)
!
!...call tpmix2dd to find wet-bulb temp, qv...
!
call tpmix2dd(p0(lfs),theted(lfs),tz(lfs),qss)
THTAD(LFS)=TZ(LFS)*(P00/P0(LFS))**(0.2854*(1.-0.28*QSS))
!
!...TAKE A FIRST GUESS AT THE INITIAL DOWNDRAFT MASS FLUX...
!
TVD(LFS)=TZ(LFS)*(1.+0.608*QSS)
RDD=P0(LFS)/(R*TVD(LFS))
A1=(1.-PEFF)*AU0
DMF(LFS)=-A1*RDD
DER(LFS)=DMF(LFS)
DDR(LFS)=0.
RHBAR = RH(LFS)*DP(LFS)
DPTT = DP(LFS)
DO ND = LFS-1,KSTART,-1
ND1 = ND+1
DER(ND)=DER(LFS)*EMS(ND)/EMS(LFS)
DDR(ND)=0.
DMF(ND)=DMF(ND1)+DER(ND)
THETED(ND)=(THETED(ND1)*DMF(ND1)+THETEE(ND)*DER(ND))/DMF(ND)
QD(ND)=(QD(ND1)*DMF(ND1)+Q0(ND)*DER(ND))/DMF(ND)
DPTT = DPTT+DP(ND)
RHBAR = RHBAR+RH(ND)*DP(ND)
ENDDO
RHBAR = RHBAR/DPTT
DMFFRC = 2.*(1.-RHBAR)
DPDD = 0.
!...Calculate melting effect
!... first, compute total frozen precipitation generated...
!
pptmlt = 0.
DO NK = KLCL,LTOP
PPTMLT = PPTMLT+PPTICE(NK)
ENDDO
if(lc.lt.ml)then
! DTMELT = RLF*PPTMLT/(CP*DMFFRC*UMF(KLCL))
!...
!...For now, calculate melting effect as if DMF = -UMF at KLCL, i.e., as
!...if DMFFRC=1. Otherwise, for small DMFFRC, DTMELT gets too large!
!...12/14/98 jsk...
DTMELT = RLF*PPTMLT/(CP*UMF(KLCL))
else
DTMELT = 0.
endif
LDT = MIN0(LFS-1,KSTART-1)
call tpmix2dd(p0(kstart),theted(kstart),tz(kstart),qss)
tz(kstart) = tz(kstart)-dtmelt
ES=ALIQ*EXP((BLIQ*TZ(KSTART)-CLIQ)/(TZ(KSTART)-DLIQ))
QSS=0.622*ES/(P0(KSTART)-ES)
THETED(KSTART)=TZ(KSTART)*(1.E5/P0(KSTART))**(0.2854*(1.-0.28*QSS))* &
EXP((3374.6525/TZ(KSTART)-2.5403)*QSS*(1.+0.81*QSS))
!....
LDT = MIN0(LFS-1,KSTART-1)
DO ND = LDT,1,-1
DPDD = DPDD+DP(ND)
THETED(ND) = THETED(KSTART)
QD(ND) = QD(KSTART)
!
!...call tpmix2dd to find wet bulb temp, saturation mixing ratio...
!
call tpmix2dd(p0(nd),theted(nd),tz(nd),qss)
qsd(nd) = qss
!
!...specify RH decrease of 20%/km in downdraft...
!
RHH = 1.-0.2/1000.*(Z0(KSTART)-Z0(ND))
!
!...adjust downdraft TEMP, Q to specified RH:
!
IF(RHH.LT.1.)THEN
DSSDT=(CLIQ-BLIQ*DLIQ)/((TZ(ND)-DLIQ)*(TZ(ND)-DLIQ))
RL=XLV0-XLV1*TZ(ND)
DTMP=RL*QSS*(1.-RHH)/(CP+RL*RHH*QSS*DSSDT)
T1RH=TZ(ND)+DTMP
ES=RHH*ALIQ*EXP((BLIQ*T1RH-CLIQ)/(T1RH-DLIQ))
QSRH=0.622*ES/(P0(ND)-ES)
!
!...CHECK TO SEE IF MIXING RATIO AT SPECIFIED RH IS LESS THAN ACTUAL
!...MIXING RATIO...IF SO, ADJUST TO GIVE ZERO EVAPORATION...
!
IF(QSRH.LT.QD(ND))THEN
QSRH=QD(ND)
T1RH=TZ(ND)+(QSS-QSRH)*RL/CP
ENDIF
TZ(ND)=T1RH
QSS=QSRH
QSD(ND) = QSS
ENDIF
TVD(nd) = tz(nd)*(1.+0.608*qsd(nd))
IF(TVD(ND).GT.TV0(ND).OR.ND.EQ.1)THEN
LDB=ND
EXIT
ENDIF
ENDDO
IF((P0(LDB)-P0(LFS)) .gt. 50.E2)THEN ! minimum Downdraft depth!
DO ND=LDT,LDB,-1
ND1 = ND+1
DDR(ND) = -DMF(KSTART)*DP(ND)/DPDD
DER(ND) = 0.
DMF(ND) = DMF(ND1)+DDR(ND)
TDER=TDER+(QSD(nd)-QD(ND))*DDR(ND)
QD(ND)=QSD(nd)
THTAD(ND)=TZ(ND)*(P00/P0(ND))**(0.2854*(1.-0.28*QD(ND)))
ENDDO
ENDIF
ENDIF
ENDIF devap
!
!...IF DOWNDRAFT DOES NOT EVAPORATE ANY WATER FOR SPECIFIED RELATIVE
!...HUMIDITY, NO DOWNDRAFT IS ALLOWED...
!
d_mf: IF(TDER.LT.1.)THEN
! WRITE(98,3004)I,J
!3004 FORMAT( ,No Downdraft!; I=,I3,2X,J=,I3,ISHALL =,I2)
PPTFLX=TRPPT
CPR=TRPPT
TDER=0.
CNDTNF=0.
UPDINC=1.
LDB=LFS
DO NDK=1,LTOP
DMF(NDK)=0.
DER(NDK)=0.
DDR(NDK)=0.
THTAD(NDK)=0.
WD(NDK)=0.
TZ(NDK)=0.
QD(NDK)=0.
ENDDO
AINCM2=100.
ELSE
DDINC = -DMFFRC*UMF(KLCL)/DMF(KSTART)
UPDINC=1.
IF(TDER*DDINC.GT.TRPPT)THEN
DDINC = TRPPT/TDER
ENDIF
TDER = TDER*DDINC
DO NK=LDB,LFS
DMF(NK)=DMF(NK)*DDINC
DER(NK)=DER(NK)*DDINC
DDR(NK)=DDR(NK)*DDINC
ENDDO
CPR=TRPPT
! PPTFLX = TRPPT-TDER
PPTFLX = amax1(TRPPT-TDER,0.0) ! F.KONG (2002)
PEFF=PPTFLX/TRPPT
IF(IPRNT)THEN
write(98,*)'PRECIP EFFICIENCY =',PEFF
! call flush(98)
ENDIF
!
!
!...ADJUST UPDRAFT MASS FLUX, MASS DETRAINMENT RATE, AND LIQUID WATER AN
! DETRAINMENT RATES TO BE CONSISTENT WITH THE TRANSFER OF THE ESTIMATE
! FROM THE UPDRAFT TO THE DOWNDRAFT AT THE LFS...
!
! DO NK=LC,LFS
! UMF(NK)=UMF(NK)*UPDINC
! UDR(NK)=UDR(NK)*UPDINC
! UER(NK)=UER(NK)*UPDINC
! PPTLIQ(NK)=PPTLIQ(NK)*UPDINC
! PPTICE(NK)=PPTICE(NK)*UPDINC
! DETLQ(NK)=DETLQ(NK)*UPDINC
! DETIC(NK)=DETIC(NK)*UPDINC
! ENDDO
!
!...ZERO OUT THE ARRAYS FOR DOWNDRAFT DATA AT LEVELS ABOVE AND BELOW THE
!...DOWNDRAFT...
!
IF(LDB.GT.1)THEN
DO NK=1,LDB-1
DMF(NK)=0.
DER(NK)=0.
DDR(NK)=0.
WD(NK)=0.
TZ(NK)=0.
QD(NK)=0.
THTAD(NK)=0.
ENDDO
ENDIF
DO NK=LFS+1,KX
DMF(NK)=0.
DER(NK)=0.
DDR(NK)=0.
WD(NK)=0.
TZ(NK)=0.
QD(NK)=0.
THTAD(NK)=0.
ENDDO
DO NK=LDT+1,LFS-1
TZ(NK)=0.
QD(NK)=0.
THTAD(NK)=0.
ENDDO
ENDIF d_mf
!
!...SET LIMITS ON THE UPDRAFT AND DOWNDRAFT MASS FLUXES SO THAT THE INFL
! INTO CONVECTIVE DRAFTS FROM A GIVEN LAYER IS NO MORE THAN IS AVAILAB
! IN THAT LAYER INITIALLY...
!
AINCMX=1000.
LMAX=MAX0(KLCL,LFS)
DO NK=LC,LMAX
IF((UER(NK)-DER(NK)).GT.0.)AINCM1=EMS(NK)/((UER(NK)-DER(NK))*TIMEC)
AINCMX=AMIN1(AINCMX,AINCM1)
ENDDO
AINC=1.
IF(AINCMX.LT.AINC)AINC=AINCMX
!
!...SAVE THE RELEVENT VARIABLES FOR A UNIT UPDRAFT AND DOWNDRAFT...THEY WILL
!...BE ITERATIVELY ADJUSTED BY THE FACTOR AINC TO SATISFY THE STABILIZATION
!...CLOSURE...
!
TDER2=TDER
PPTFL2=PPTFLX
DO NK=1,LTOP
DETLQ2(NK)=DETLQ(NK)
DETIC2(NK)=DETIC(NK)
UDR2(NK)=UDR(NK)
UER2(NK)=UER(NK)
DDR2(NK)=DDR(NK)
DER2(NK)=DER(NK)
UMF2(NK)=UMF(NK)
DMF2(NK)=DMF(NK)
ENDDO
FABE=1.
STAB=0.95
NOITR=0
ISTOP=0
!
IF(ISHALL.EQ.1)THEN ! First for shallow convection
!
! No iteration for shallow convection; if turbulent kinetic energy (TKE) is available
! from a turbulence parameterization, scale cloud-base updraft mass flux as a function
! of TKE, but for now, just specify shallow-cloud mass flux using TKEMAX = 5...
!
!...find the maximum TKE value between LC and KLCL...
! TKEMAX = 0.
TKEMAX = 5.
! DO 173 K = LC,KLCL
! NK = KX-K+1
! TKEMAX = AMAX1(TKEMAX,Q2(I,J,NK))
! 173 CONTINUE
! TKEMAX = AMIN1(TKEMAX,10.)
! TKEMAX = AMAX1(TKEMAX,5.)
!c TKEMAX = 10.
!c...3_24_99...DPMIN was changed for shallow convection so that it is the
!c... the same as for deep convection (5.E3). Since this doubles
!c... (roughly) the value of DPTHMX, add a factor of 0.5 to calcu-
!c... lation of EVAC...
!c EVAC = TKEMAX*0.1
EVAC = 0.5*TKEMAX*0.1
! AINC = 0.1*DPTHMX*DXIJ*DXIJ/(VMFLCL*G*TIMEC)
! AINC = EVAC*DPTHMX*DX(I,J)*DX(I,J)/(VMFLCL*G*TIMEC)
AINC = EVAC*DPTHMX*DXSQ/(VMFLCL*G*TIMEC)
TDER=TDER2*AINC
PPTFLX=PPTFL2*AINC
DO NK=1,LTOP
UMF(NK)=UMF2(NK)*AINC
DMF(NK)=DMF2(NK)*AINC
DETLQ(NK)=DETLQ2(NK)*AINC
DETIC(NK)=DETIC2(NK)*AINC
UDR(NK)=UDR2(NK)*AINC
UER(NK)=UER2(NK)*AINC
DER(NK)=DER2(NK)*AINC
DDR(NK)=DDR2(NK)*AINC
ENDDO
ENDIF ! Otherwise for deep convection
! use iterative procedure to find mass fluxes...
iter: DO NCOUNT=1,10
!
!*****************************************************************
! *
! COMPUTE PROPERTIES FOR COMPENSATIONAL SUBSIDENCE *
! *
!*****************************************************************
!
!...DETERMINE OMEGA VALUE NECESSARY AT TOP AND BOTTOM OF EACH LAYER TO
!...SATISFY MASS CONTINUITY...
!
DTT=TIMEC
DO NK=1,LTOP
DOMGDP(NK)=-(UER(NK)-DER(NK)-UDR(NK)-DDR(NK))*EMSD(NK)
IF(NK.GT.1)THEN
OMG(NK)=OMG(NK-1)-DP(NK-1)*DOMGDP(NK-1)
DTT1=0.75*DP(NK-1)/(ABS(OMG(NK))+1.E-10)
DTT=AMIN1(DTT,DTT1)
ENDIF
ENDDO
DO NK=1,LTOP
THPA(NK)=THTA0(NK)
QPA(NK)=Q0(NK)
NSTEP=NINT(TIMEC/DTT+1)
DTIME=TIMEC/FLOAT(NSTEP)
FXM(NK)=OMG(NK)*DXSQ/G
ENDDO
!
!...DO AN UPSTREAM/FORWARD-IN-TIME ADVECTION OF THETA, QV...
!
DO NTC=1,NSTEP
!
!...ASSIGN THETA AND Q VALUES AT THE TOP AND BOTTOM OF EACH LAYER BASED
!...SIGN OF OMEGA...
!
DO NK=1,LTOP
THFXIN(NK)=0.
THFXOUT(NK)=0.
QFXIN(NK)=0.
QFXOUT(NK)=0.
ENDDO
DO NK=2,LTOP
IF(OMG(NK).LE.0.)THEN
THFXIN(NK)=-FXM(NK)*THPA(NK-1)
QFXIN(NK)=-FXM(NK)*QPA(NK-1)
THFXOUT(NK-1)=THFXOUT(NK-1)+THFXIN(NK)
QFXOUT(NK-1)=QFXOUT(NK-1)+QFXIN(NK)
ELSE
THFXOUT(NK)=FXM(NK)*THPA(NK)
QFXOUT(NK)=FXM(NK)*QPA(NK)
THFXIN(NK-1)=THFXIN(NK-1)+THFXOUT(NK)
QFXIN(NK-1)=QFXIN(NK-1)+QFXOUT(NK)
ENDIF
ENDDO
!
!...UPDATE THE THETA AND QV VALUES AT EACH LEVEL...
!
DO NK=1,LTOP
THPA(NK)=THPA(NK)+(THFXIN(NK)+UDR(NK)*THTAU(NK)+DDR(NK)* &
THTAD(NK)-THFXOUT(NK)-(UER(NK)-DER(NK))*THTA0(NK))* &
DTIME*EMSD(NK)
QPA(NK)=QPA(NK)+(QFXIN(NK)+UDR(NK)*QDT(NK)+DDR(NK)*QD(NK)- &
QFXOUT(NK)-(UER(NK)-DER(NK))*Q0(NK))*DTIME*EMSD(NK)
ENDDO
ENDDO
DO NK=1,LTOP
THTAG(NK)=THPA(NK)
QG(NK)=QPA(NK)
ENDDO
!
!...CHECK TO SEE IF MIXING RATIO DIPS BELOW ZERO ANYWHERE; IF SO, BORRO
!...MOISTURE FROM ADJACENT LAYERS TO BRING IT BACK UP ABOVE ZERO...
!
DO NK=1,LTOP
IF(QG(NK).LT.0.)THEN
IF(NK.EQ.1)THEN ! JSK MODS
! PRINT *, PROBLEM WITH KF SCHEME: ! JSK MODS
! PRINT *,QG = 0 AT THE SURFACE!!!!!!! ! JSK MODS
STOP 'QG' ! JSK MODS
ENDIF ! JSK MODS
NK1=NK+1
IF(NK.EQ.LTOP)THEN
NK1=KLCL
ENDIF
TMA=QG(NK1)*EMS(NK1)
TMB=QG(NK-1)*EMS(NK-1)
TMM=(QG(NK)-1.E-9)*EMS(NK )
BCOEFF=-TMM/((TMA*TMA)/TMB+TMB)
ACOEFF=BCOEFF*TMA/TMB
TMB=TMB*(1.-BCOEFF)
TMA=TMA*(1.-ACOEFF)
IF(NK.EQ.LTOP)THEN
QVDIFF=(QG(NK1)-TMA*EMSD(NK1))*100./QG(NK1)
! IF(ABS(QVDIFF).GT.1.)THEN
! PRINT *,!!!WARNING!!! CLOUD BASE WATER VAPOR CHANGES BY , &
! QVDIFF, &
! % WHEN MOISTURE IS BORROWED TO PREVENT NEGATIVE , &
! VALUES IN KAIN-FRITSCH
! ENDIF
ENDIF
QG(NK)=1.E-9
QG(NK1)=TMA*EMSD(NK1)
QG(NK-1)=TMB*EMSD(NK-1)
ENDIF
ENDDO
TOPOMG=(UDR(LTOP)-UER(LTOP))*DP(LTOP)*EMSD(LTOP)
IF(ABS(TOPOMG-OMG(LTOP)).GT.1.E-3)THEN
! WRITE(99,*)ERROR: MASS DOES NOT BALANCE IN KF SCHEME; &
! TOPOMG, OMG =,TOPOMG,OMG(LTOP)
! TOPOMG, OMG =,TOPOMG,OMG(LTOP)
ISTOP=1
IPRNT=.TRUE.
EXIT iter
ENDIF
!
!...CONVERT THETA TO T...
!
DO NK=1,LTOP
EXN(NK)=(P00/P0(NK))**(0.2854*(1.-0.28*QG(NK)))
TG(NK)=THTAG(NK)/EXN(NK)
TVG(NK)=TG(NK)*(1.+0.608*QG(NK))
ENDDO
IF(ISHALL.EQ.1)THEN
EXIT iter
ENDIF
!
!*******************************************************************
! *
! COMPUTE NEW CLOUD AND CHANGE IN AVAILABLE BUOYANT ENERGY. *
! *
!*******************************************************************
!
!...THE FOLLOWING COMPUTATIONS ARE SIMILAR TO THAT FOR UPDRAFT
!
! THMIX=0.
TMIX=0.
QMIX=0.
!
!...FIND THE THERMODYNAMIC CHARACTERISTICS OF THE LAYER BY
!...MASS-WEIGHTING THE CHARACTERISTICS OF THE INDIVIDUAL MODEL
!...LAYERS...
!
DO NK=LC,KPBL
TMIX=TMIX+DP(NK)*TG(NK)
QMIX=QMIX+DP(NK)*QG(NK)
ENDDO
TMIX=TMIX/DPTHMX
QMIX=QMIX/DPTHMX
ES=ALIQ*EXP((TMIX*BLIQ-CLIQ)/(TMIX-DLIQ))
QSS=0.622*ES/(PMIX-ES)
!
!...REMOVE SUPERSATURATION FOR DIAGNOSTIC PURPOSES, IF NECESSARY...
!
IF(QMIX.GT.QSS)THEN
RL=XLV0-XLV1*TMIX
CPM=CP*(1.+0.887*QMIX)
DSSDT=QSS*(CLIQ-BLIQ*DLIQ)/((TMIX-DLIQ)*(TMIX-DLIQ))
DQ=(QMIX-QSS)/(1.+RL*DSSDT/CPM)
TMIX=TMIX+RL/CP*DQ
QMIX=QMIX-DQ
TLCL=TMIX
ELSE
QMIX=AMAX1(QMIX,0.)
EMIX=QMIX*PMIX/(0.622+QMIX)
astrt=1.e-3
binc=0.075
a1=emix/aliq
tp=(a1-astrt)/binc
indlu=int(tp)+1
value=(indlu-1)*binc+astrt
aintrp=(a1-value)/binc
tlog=aintrp*alu(indlu+1)+(1-aintrp)*alu(indlu)
TDPT=(CLIQ-DLIQ*TLOG)/(BLIQ-TLOG)
TLCL=TDPT-(.212+1.571E-3*(TDPT-T00)-4.36E-4*(TMIX-T00))*(TMIX-TDPT)
TLCL=AMIN1(TLCL,TMIX)
ENDIF
TVLCL=TLCL*(1.+0.608*QMIX)
ZLCL = ZMIX+(TLCL-TMIX)/GDRY
DO NK = LC,KL
KLCL=NK
IF(ZLCL.LE.Z0(NK))THEN
EXIT
ENDIF
ENDDO
K=KLCL-1
DLP=(ZLCL-Z0(K))/(Z0(KLCL)-Z0(K))
!
!...ESTIMATE ENVIRONMENTAL TEMPERATURE AND MIXING RATIO AT THE LCL...
!
TENV=TG(K)+(TG(KLCL)-TG(K))*DLP
QENV=QG(K)+(QG(KLCL)-QG(K))*DLP
TVEN=TENV*(1.+0.608*QENV)
PLCL=P0(K)+(P0(KLCL)-P0(K))*DLP
THETEU(K)=TMIX*(1.E5/PMIX)**(0.2854*(1.-0.28*QMIX))* &
EXP((3374.6525/TLCL-2.5403)*QMIX*(1.+0.81*QMIX))
!
!...COMPUTE ADJUSTED ABE(ABEG).
!
ABEG=0.
DO NK=K,LTOPM1
NK1=NK+1
THETEU(NK1) = THETEU(NK)
call tpmix2dd(p0(nk1),theteu(nk1),tgu(nk1),qgu(nk1))
TVQU(NK1)=TGU(NK1)*(1.+0.608*QGU(NK1)-QLIQ(NK1)-QICE(NK1))
IF(NK.EQ.K)THEN
DZZ=Z0(KLCL)-ZLCL
DILBE=((TVLCL+TVQU(NK1))/(TVEN+TVG(NK1))-1.)*DZZ
ELSE
DZZ=DZA(NK)
DILBE=((TVQU(NK)+TVQU(NK1))/(TVG(NK)+TVG(NK1))-1.)*DZZ
ENDIF
IF(DILBE.GT.0.)ABEG=ABEG+DILBE*G
!
!...DILUTE BY ENTRAINMENT BY THE RATE AS ORIGINAL UPDRAFT...
!
CALL ENVIRTHT(P0(NK1),TG(NK1),QG(NK1),THTEEG(NK1),ALIQ,BLIQ,CLIQ,DLIQ)
THETEU(NK1)=THETEU(NK1)*DDILFRC(NK1)+THTEEG(NK1)*(1.-DDILFRC(NK1))
ENDDO
!
!...ASSUME AT LEAST 90% OF CAPE (ABE) IS REMOVED BY CONVECTION DURING
!...THE PERIOD TIMEC...
!
IF(NOITR.EQ.1)THEN
! write(98,*)
! write(98,*)TAU, I, J, =,NTSD,I,J
! WRITE(98,1060)FABE
! GOTO 265
EXIT iter
ENDIF
DABE=AMAX1(ABE-ABEG,0.1*ABE)
FABE=ABEG/(ABE+1.E-8)
IF(FABE.GT.1. .and. ISHALL.EQ.0)THEN
! WRITE(98,*)UPDRAFT/DOWNDRAFT COUPLET INCREASES CAPE AT THIS
! *GRID POINT; NO CONVECTION ALLOWED!
RETURN
ENDIF
IF(NCOUNT.NE.1)THEN
DFDA=(FABE-FABEOLD)/(AINC-AINCOLD)
IF(DFDA.GT.0.)THEN
NOITR=1
AINC=AINCOLD
CYCLE iter
ENDIF
ENDIF
AINCOLD=AINC
FABEOLD=FABE
IF(AINC/AINCMX.GT.0.999.AND.FABE.GT.1.05-STAB)THEN
! write(98,*)
! write(98,*)TAU, I, J, =,NTSD,I,J
! WRITE(98,1055)FABE
! GOTO 265
EXIT
ENDIF
IF((FABE.LE.1.05-STAB.AND.FABE.GE.0.95-STAB) .or. NCOUNT.EQ.10)THEN
EXIT iter
ELSE
IF(NCOUNT.GT.10)THEN
! write(98,*)
! write(98,*)TAU, I, J, =,NTSD,I,J
! WRITE(98,1060)FABE
! GOTO 265
EXIT
ENDIF
!
!...IF MORE THAN 10% OF THE ORIGINAL CAPE REMAINS, INCREASE THE CONVECTI
!...MASS FLUX BY THE FACTOR AINC:
!
IF(FABE.EQ.0.)THEN
AINC=AINC*0.5
ELSE
AINC=AINC*STAB*ABE/(DABE+1.E-8)
ENDIF
! AINC=AMIN1(AINCMX,AINC)
AINC=AMIN1(AINCMX,AINC)
!...IF AINC BECOMES VERY SMALL, EFFECTS OF CONVECTION ! JSK MODS
!...WILL BE MINIMAL SO JUST IGNORE IT... ! JSK MODS
IF(AINC.LT.0.05)then
RETURN ! JSK MODS
ENDIF
! AINC=AMAX1(AINC,0.05) ! JSK MODS
TDER=TDER2*AINC
PPTFLX=PPTFL2*AINC
! IF (XTIME.LT.10.)THEN
! WRITE(98,1080)LFS,LDB,LDT,TIMEC,TADVEC,NSTEP,NCOUNT,
! * FABEOLD,AINCOLD
! ENDIF
DO NK=1,LTOP
UMF(NK)=UMF2(NK)*AINC
DMF(NK)=DMF2(NK)*AINC
DETLQ(NK)=DETLQ2(NK)*AINC
DETIC(NK)=DETIC2(NK)*AINC
UDR(NK)=UDR2(NK)*AINC
UER(NK)=UER2(NK)*AINC
DER(NK)=DER2(NK)*AINC
DDR(NK)=DDR2(NK)*AINC
ENDDO
!
!...GO BACK UP FOR ANOTHER ITERATION...
!
ENDIF
ENDDO iter
!
!...COMPUTE HYDROMETEOR TENDENCIES AS IS DONE FOR T, QV...
!
!...FRC2 IS THE FRACTION OF TOTAL CONDENSATE ! PPT FB MODS
!...GENERATED THAT GOES INTO PRECIPITIATION ! PPT FB MODS
! IF(I.EQ.95 .AND. J.EQ.82)THEN
! write(98,*)PPTFLX, CPR, AINC =,PPTFLX,CPR,AINC
! ENDIF
!
! Redistribute hydormeteors according to the final mass-flux values:
!
IF(CPR.GT.0.)THEN
FRC2=PPTFLX/(CPR*AINC) ! PPT FB MODS
ELSE
FRC2=0.
ENDIF
DO NK=1,LTOP
QLPA(NK)=QL0(NK)
QIPA(NK)=QI0(NK)
QRPA(NK)=QR0(NK)
QSPA(NK)=QS0(NK)
RAINFB(NK)=PPTLIQ(NK)*AINC*FBFRC*FRC2 ! PPT FB MODS
SNOWFB(NK)=PPTICE(NK)*AINC*FBFRC*FRC2 ! PPT FB MODS
ENDDO
DO NTC=1,NSTEP
!
!...ASSIGN HYDROMETEORS CONCENTRATIONS AT THE TOP AND BOTTOM OF EACH LAY
!...BASED ON THE SIGN OF OMEGA...
!
DO NK=1,LTOP
QLFXIN(NK)=0.
QLFXOUT(NK)=0.
QIFXIN(NK)=0.
QIFXOUT(NK)=0.
QRFXIN(NK)=0.
QRFXOUT(NK)=0.
QSFXIN(NK)=0.
QSFXOUT(NK)=0.
ENDDO
DO NK=2,LTOP
IF(OMG(NK).LE.0.)THEN
QLFXIN(NK)=-FXM(NK)*QLPA(NK-1)
QIFXIN(NK)=-FXM(NK)*QIPA(NK-1)
QRFXIN(NK)=-FXM(NK)*QRPA(NK-1)
QSFXIN(NK)=-FXM(NK)*QSPA(NK-1)
QLFXOUT(NK-1)=QLFXOUT(NK-1)+QLFXIN(NK)
QIFXOUT(NK-1)=QIFXOUT(NK-1)+QIFXIN(NK)
QRFXOUT(NK-1)=QRFXOUT(NK-1)+QRFXIN(NK)
QSFXOUT(NK-1)=QSFXOUT(NK-1)+QSFXIN(NK)
ELSE
QLFXOUT(NK)=FXM(NK)*QLPA(NK)
QIFXOUT(NK)=FXM(NK)*QIPA(NK)
QRFXOUT(NK)=FXM(NK)*QRPA(NK)
QSFXOUT(NK)=FXM(NK)*QSPA(NK)
QLFXIN(NK-1)=QLFXIN(NK-1)+QLFXOUT(NK)
QIFXIN(NK-1)=QIFXIN(NK-1)+QIFXOUT(NK)
QRFXIN(NK-1)=QRFXIN(NK-1)+QRFXOUT(NK)
QSFXIN(NK-1)=QSFXIN(NK-1)+QSFXOUT(NK)
ENDIF
ENDDO
!
!...UPDATE THE HYDROMETEOR CONCENTRATION VALUES AT EACH LEVEL...
!
DO NK=1,LTOP
QLPA(NK)=QLPA(NK)+(QLFXIN(NK)+DETLQ(NK)-QLFXOUT(NK))*DTIME*EMSD(NK)
QIPA(NK)=QIPA(NK)+(QIFXIN(NK)+DETIC(NK)-QIFXOUT(NK))*DTIME*EMSD(NK)
QRPA(NK)=QRPA(NK)+(QRFXIN(NK)-QRFXOUT(NK)+RAINFB(NK))*DTIME*EMSD(NK) ! PPT FB MODS
QSPA(NK)=QSPA(NK)+(QSFXIN(NK)-QSFXOUT(NK)+SNOWFB(NK))*DTIME*EMSD(NK) ! PPT FB MODS
ENDDO
ENDDO
DO NK=1,LTOP
QLG(NK)=QLPA(NK)
QIG(NK)=QIPA(NK)
QRG(NK)=QRPA(NK)
QSG(NK)=QSPA(NK)
ENDDO
!
!...CLEAN THINGS UP, CALCULATE CONVECTIVE FEEDBACK TENDENCIES FOR THIS
!...GRID POINT...
!
! IF (XTIME.LT.10.)THEN
! WRITE(98,1080)LFS,LDB,LDT,TIMEC,TADVEC,NSTEP,NCOUNT,FABE,AINC
! ENDIF
IF(IPRNT)THEN
WRITE(98,1080)LFS,LDB,LDT,TIMEC,TADVEC,NSTEP,NCOUNT,FABE,AINC
! call flush(98)
endif
!
!...SEND FINAL PARAMETERIZED VALUES TO OUTPUT FILES...
!
!297 IF(IPRNT)then
IF(IPRNT)then
! if(I.eq.16 .and. J.eq.41)then
! IF(ISTOP.EQ.1)THEN
write(98,*)
! write(98,*)At t(h), I, J =,float(NTSD)*72./3600.,I,J
write(98,*)'P(LC), DTP, WKL, WKLCL =',p0(LC)/100., &
TLCL+DTLCL+dtrh-TENV,WKL,WKLCL
write(98,*)'TLCL, DTLCL, DTRH, TENV =',TLCL,DTLCL, &
DTRH,TENV
WRITE(98,1025)KLCL,ZLCL,DTLCL,LTOP,P0(LTOP),IFLAG, &
TMIX-T00,PMIX,QMIX,ABE
WRITE(98,1030)P0(LET)/100.,P0(LTOP)/100.,VMFLCL,PLCL/100., &
WLCL,CLDHGT(LC)
WRITE(98,1035)PEF,PEFCBH,LC,LET,WKL,VWS
write(98,*)'PRECIP EFFICIENCY =',PEFF
WRITE(98,1080)LFS,LDB,LDT,TIMEC,TADVEC,NSTEP,NCOUNT,FABE,AINC
! ENDIF
!!!!! HERE !!!!!!!
WRITE(98,1070)' P ',' DP ',' DT K/D ',' DR K/D ',' OMG ', &
' DOMGDP ',' UMF ',' UER ',' UDR ',' DMF ',' DER ' &
,' DDR ',' EMS ',' W0 ',' DETLQ ',' DETIC '
write(98,*)'just before DO 300...'
! call flush(98)
DO NK=1,LTOP
K=LTOP-NK+1
DTT=(TG(K)-T0(K))*86400./TIMEC
RL=XLV0-XLV1*TG(K)
DR=-(QG(K)-Q0(K))*RL*86400./(TIMEC*CP)
UDFRC=UDR(K)*TIMEC*EMSD(K)
UEFRC=UER(K)*TIMEC*EMSD(K)
DDFRC=DDR(K)*TIMEC*EMSD(K)
DEFRC=-DER(K)*TIMEC*EMSD(K)
WRITE(98,1075)P0(K)/100.,DP(K)/100.,DTT,DR,OMG(K),DOMGDP(K)*1.E4, &
UMF(K)/1.E6,UEFRC,UDFRC,DMF(K)/1.E6,DEFRC,DDFRC,EMS(K)/1.E11, &
W0AVG1D(K)*1.E2,DETLQ(K)*TIMEC*EMSD(K)*1.E3,DETIC(K)* &
TIMEC*EMSD(K)*1.E3
ENDDO
WRITE(98,1085)'K','P','Z','T0','TG','DT','TU','TD','Q0','QG', &
'DQ','QU','QD','QLG','QIG','QRG','QSG','RH0','RHG'
DO NK=1,KL
K=KX-NK+1
DTT=TG(K)-T0(K)
TUC=TU(K)-T00
IF(K.LT.LC.OR.K.GT.LTOP)TUC=0.
TDC=TZ(K)-T00
IF((K.LT.LDB.OR.K.GT.LDT).AND.K.NE.LFS)TDC=0.
IF(T0(K).LT.T00)THEN
ES=ALIQ*EXP((BLIQ*TG(K)-CLIQ)/(TG(K)-DLIQ))
ELSE
ES=ALIQ*EXP((BLIQ*TG(K)-CLIQ)/(TG(K)-DLIQ))
ENDIF
QGS=ES*0.622/(P0(K)-ES)
RH0=Q0(K)/QES(K)
RHG=QG(K)/QGS
WRITE(98,1090)K,P0(K)/100.,Z0(K),T0(K)-T00,TG(K)-T00,DTT,TUC, &
TDC,Q0(K)*1000.,QG(K)*1000.,(QG(K)-Q0(K))*1000.,QU(K)* &
1000.,QD(K)*1000.,QLG(K)*1000.,QIG(K)*1000.,QRG(K)*1000., &
QSG(K)*1000.,RH0,RHG
ENDDO
!
!...IF CALCULATIONS ABOVE SHOW AN ERROR IN THE MASS BUDGET, PRINT OUT A
!...TO BE USED LATER FOR DIAGNOSTIC PURPOSES, THEN ABORT RUN...
!
! IF(ISTOP.EQ.1 .or. ISHALL.EQ.1)THEN
! IF(ISHALL.NE.1)THEN
! write(98,4421)i,j,iyr,imo,idy,ihr,imn
! write(98)i,j,iyr,imo,idy,ihr,imn,kl
! 4421 format(7i4)
! write(98,4422)kl
! 4422 format(i6)
DO 310 NK = 1,KL
k = kl - nk + 1
write(98,4455) p0(k)/100.,t0(k)-273.16,q0(k)*1000., &
u0(k),v0(k),W0AVG1D(K),dp(k)
! write(98) p0,t0,q0,u0,v0,w0,dp,tke
! WRITE(98,1115)Z0(K),P0(K)/100.,T0(K)-273.16,Q0(K)*1000.,
! * U0(K),V0(K),DP(K)/100.,W0AVG(I,J,K)
310 CONTINUE
IF(ISTOP.EQ.1)THEN
STOP 'KAIN-FRITSCH'
ENDIF
! ENDIF
4455 format(7f11.3)
ENDIF
CNDTNF=(1.-EQFRC(LFS))*(QLIQ(LFS)+QICE(LFS))*DMF(LFS)
RAINCV(I,J)=DT*PPTFLX*(1.-FBFRC)/DXSQ ! PPT FB MODS
! RAINCV(I,J)=.1*.5*DT*PPTFLX/DXSQ ! PPT FB MODS
! RNC=0.1*TIMEC*PPTFLX/DXSQ
RNC=RAINCV(I,J)*NIC
IF(ISHALL.EQ.0.AND.IPRNT)write (98,909)I,J,RNC
! WRITE(98,1095)CPR*AINC,TDER+PPTFLX+CNDTNF
!
! EVALUATE MOISTURE BUDGET...
!
QINIT=0.
QFNL=0.
DPT=0.
DO 315 NK=1,LTOP
DPT=DPT+DP(NK)
QINIT=QINIT+Q0(NK)*EMS(NK)
QFNL=QFNL+QG(NK)*EMS(NK)
QFNL=QFNL+(QLG(NK)+QIG(NK)+QRG(NK)+QSG(NK))*EMS(NK)
315 CONTINUE
QFNL=QFNL+PPTFLX*TIMEC*(1.-FBFRC) ! PPT FB MODS
! QFNL=QFNL+PPTFLX*TIMEC ! PPT FB MODS
ERR2=(QFNL-QINIT)*100./QINIT
IF(IPRNT)WRITE(98,1110)QINIT,QFNL,ERR2
IF(ABS(ERR2).GT.0.05 .AND. ISTOP.EQ.0)THEN
! write(99,*)!!!!!!!! MOISTURE BUDGET ERROR IN KFPARA !!!
! WRITE(99,1110)QINIT,QFNL,ERR2
IPRNT=.TRUE.
ISTOP=1
write(98,4422)kl
4422 format(i6)
DO 311 NK = 1,KL
k = kl - nk + 1
! write(99,4455) p0(k)/100.,t0(k)-273.16,q0(k)*1000., &
! u0(k),v0(k),W0AVG1D(K),dp(k)
! write(98) p0,t0,q0,u0,v0,w0,dp,tke
! WRITE(98,1115)P0(K)/100.,T0(K)-273.16,Q0(K)*1000., &
! U0(K),V0(K),W0AVG1D(K),dp(k)/100.,tke(k)
WRITE(98,4456)P0(K)/100.,T0(K)-273.16,Q0(K)*1000., &
U0(K),V0(K),W0AVG1D(K),dp(k)/100.,tke(k)
311 CONTINUE
! call flush(98)
! GOTO 297
STOP 'QVERR'
ENDIF
1115 FORMAT (2X,F7.2,2X,F5.1,2X,F6.3,2(2X,F5.1),2X,F7.2,2X,F7.4)
4456 format(8f12.3)
RELERR=ERR2*QINIT/(PPTFLX*TIMEC+1.E-10)
IF(IPRNT)THEN
WRITE(98,1120)RELERR
WRITE(98,*)'TDER, CPR, TRPPT =', &
TDER,CPR*AINC,TRPPT*AINC
ENDIF
!
!...FEEDBACK TO RESOLVABLE SCALE TENDENCIES.
!
!...IF THE ADVECTIVE TIME PERIOD (TADVEC) IS LESS THAN SPECIFIED MINIMUM
!...TIMEC, ALLOW FEEDBACK TO OCCUR ONLY DURING TADVEC...
!
IF(TADVEC.LT.TIMEC)NIC=NINT(TADVEC/DT)
NCA(I,J)=FLOAT(NIC)
IF(ISHALL.EQ.1)THEN
TIMEC = 2400.
NCA(I,J) = FLOAT(NTST)
NSHALL = NSHALL+1
ENDIF
DO K=1,KX
! IF(IMOIST(INEST).NE.2)THEN
!
!...IF HYDROMETEORS ARE NOT ALLOWED, THEY MUST BE EVAPORATED OR SUBLIMAT
!...AND FED BACK AS VAPOR, ALONG WITH ASSOCIATED CHANGES IN TEMPERATURE.
!...NOTE: THIS WILL INTRODUCE CHANGES IN THE CONVECTIVE TEMPERATURE AND
!...WATER VAPOR FEEDBACK TENDENCIES AND MAY LEAD TO SUPERSATURATED VALUE
!...OF QG...
!
! RLC=XLV0-XLV1*TG(K)
! RLS=XLS0-XLS1*TG(K)
! CPM=CP*(1.+0.887*QG(K))
! TG(K)=TG(K)-(RLC*(QLG(K)+QRG(K))+RLS*(QIG(K)+QSG(K)))/CPM
! QG(K)=QG(K)+(QLG(K)+QRG(K)+QIG(K)+QSG(K))
! DQLDT(I,J,NK)=0.
! DQIDT(I,J,NK)=0.
! DQRDT(I,J,NK)=0.
! DQSDT(I,J,NK)=0.
! ELSE
!
!...IF ICE PHASE IS NOT ALLOWED, MELT ALL FROZEN HYDROMETEORS...
!
IF(P_QI .lt. P_FIRST_SCALAR .and. warm_rain)THEN
CPM=CP*(1.+0.887*QG(K))
TG(K)=TG(K)-(QIG(K)+QSG(K))*RLF/CPM
DQCDT(K)=(QLG(K)+QIG(K)-QL0(K)-QI0(K))/TIMEC
DQIDT(K)=0.
DQRDT(K)=(QRG(K)+QSG(K)-QR0(K)-QS0(K))/TIMEC
DQSDT(K)=0.
ELSEIF(P_QI .lt. P_FIRST_SCALAR .and. .not. warm_rain)THEN
!
!...IF ICE PHASE IS ALLOWED, BUT MIXED PHASE IS NOT, MELT FROZEN HYDROME
!...BELOW THE MELTING LEVEL, FREEZE LIQUID WATER ABOVE THE MELTING LEVEL
!
CPM=CP*(1.+0.887*QG(K))
IF(K.LE.ML)THEN
TG(K)=TG(K)-(QIG(K)+QSG(K))*RLF/CPM
ELSEIF(K.GT.ML)THEN
TG(K)=TG(K)+(QLG(K)+QRG(K))*RLF/CPM
ENDIF
DQCDT(K)=(QLG(K)+QIG(K)-QL0(K)-QI0(K))/TIMEC
DQIDT(K)=0.
DQRDT(K)=(QRG(K)+QSG(K)-QR0(K)-QS0(K))/TIMEC
DQSDT(K)=0.
ELSEIF(P_QI .ge. P_FIRST_SCALAR) THEN
!
!...IF MIXED PHASE HYDROMETEORS ARE ALLOWED, FEED BACK CONVECTIVE TENDEN
!...OF HYDROMETEORS DIRECTLY...
!
DQCDT(K)=(QLG(K)-QL0(K))/TIMEC
DQIDT(K)=(QIG(K)-QI0(K))/TIMEC
DQRDT(K)=(QRG(K)-QR0(K))/TIMEC
IF (P_QS .ge. P_FIRST_SCALAR) THEN
DQSDT(K)=(QSG(K)-QS0(K))/TIMEC
ELSE
DQIDT(K)=DQIDT(K)+(QSG(K)-QS0(K))/TIMEC
ENDIF
ELSE
! PRINT *,THIS COMBINATION OF IMOIST, IEXICE, IICE NOT ALLOWED!
STOP 'KAIN-FRITSCH'
ENDIF
DTDT(K)=(TG(K)-T0(K))/TIMEC
DQDT(K)=(QG(K)-Q0(K))/TIMEC
ENDDO
RAINCV(I,J)=DT*PPTFLX*(1.-FBFRC)/DXSQ ! PPT FB MODS
! RAINCV(I,J)=.1*.5*DT*PPTFLX/DXSQ ! PPT FB MODS
! RNC=0.1*TIMEC*PPTFLX/DXSQ
RNC=RAINCV(I,J)*NIC
909 FORMAT('AT I, J =',i3,1x,i3,' CONVECTIVE RAINFALL =',F8.4,' mm')
! write (98,909)I,J,RNC
! write (6,909)I,J,RNC
! WRITE(98,*)at NTSD =,NTSD,,No. of KF points activated =,
! * NCCNT
! call flush(98)
1000 FORMAT(' ',10A8)
1005 FORMAT(' ',F6.0,2X,F6.4,2X,F7.3,1X,F6.4,2X,4(F6.3,2X),2(F7.3,1X))
1010 FORMAT(' ',' VERTICAL VELOCITY IS NEGATIVE AT ',F4.0,' MB')
1015 FORMAT(' ','ALL REMAINING MASS DETRAINS BELOW ',F4.0,' MB')
1025 FORMAT(5X,' KLCL=',I2,' ZLCL=',F7.1,'M', &
' DTLCL=',F5.2,' LTOP=',I2,' P0(LTOP)=',-2PF5.1,'MB FRZ LV=', &
I2,' TMIX=',0PF4.1,1X,'PMIX=',-2PF6.1,' QMIX=',3PF5.1, &
' CAPE=',0PF7.1)
1030 FORMAT(' ',' P0(LET) = ',F6.1,' P0(LTOP) = ',F6.1,' VMFLCL =', &
E12.3,' PLCL =',F6.1,' WLCL =',F6.3,' CLDHGT =', &
F8.1)
1035 FORMAT(1X,'PEF(WS)=',F4.2,'(CB)=',F4.2,'LC,LET=',2I3,'WKL=' &
,F6.3,'VWS=',F5.2)
!1055 FORMAT(*** DEGREE OF STABILIZATION =,F5.3, &
! , NO MORE MASS FLUX IS ALLOWED!)
!1060 FORMAT( ITERATION DOES NOT CONVERGE TO GIVE THE SPECIFIED &
! &DEGREE OF STABILIZATION! FABE= ,F6.4)
1070 FORMAT (16A8)
1075 FORMAT (F8.2,3(F8.2),2(F8.3),F8.2,2F8.3,F8.2,6F8.3)
1080 FORMAT(2X,'LFS,LDB,LDT =',3I3,' TIMEC, TADVEC, NSTEP=', &
2(1X,F5.0),I3,'NCOUNT, FABE, AINC=',I2,1X,F5.3,F6.2)
1085 FORMAT (A3,16A7,2A8)
1090 FORMAT (I3,F7.2,F7.0,10F7.2,4F7.3,2F8.3)
1095 FORMAT(' ',' PPT PRODUCTION RATE= ',F10.0,' TOTAL EVAP+PPT= ',F10.0)
1105 FORMAT(' ','NET LATENT HEAT RELEASE =',E12.5,' ACTUAL HEATING =',&
E12.5,' J/KG-S, DIFFERENCE = ',F9.3,'%')
1110 FORMAT(' ','INITIAL WATER =',E12.5,' FINAL WATER =',E12.5, &
' TOTAL WATER CHANGE =',F8.2,'%')
! 1115 FORMAT (2X,F6.0,2X,F7.2,2X,F5.1,2X,F6.3,2(2X,F5.1),2X,F7.2,2X,F7.4)
1120 FORMAT(' ','MOISTURE ERROR AS FUNCTION OF TOTAL PPT =',F9.3,'%')
!
END SUBROUTINE KF_eta_PARA
!********************************************************************
! ***********************************************************************
SUBROUTINE TPMIX2(p,thes,tu,qu,qliq,qice,qnewlq,qnewic,XLV1,XLV0) 3
!
! Lookup table variables:
! INTEGER, PARAMETER :: (KFNT=250,KFNP=220)
! REAL, SAVE, DIMENSION(1:KFNT,1:KFNP) :: TTAB,QSTAB
! REAL, SAVE, DIMENSION(1:KFNP) :: THE0K
! REAL, SAVE, DIMENSION(1:200) :: ALU
! REAL, SAVE :: RDPR,RDTHK,PLUTOP
! End of Lookup table variables:
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
REAL, INTENT(IN ) :: P,THES,XLV1,XLV0
REAL, INTENT(OUT ) :: QNEWLQ,QNEWIC
REAL, INTENT(INOUT) :: TU,QU,QLIQ,QICE
REAL :: TP,QQ,BTH,TTH,PP,T00,T10,T01,T11,Q00,Q10,Q01,Q11, &
TEMP,QS,QNEW,DQ,QTOT,RLL,CPP
INTEGER :: IPTB,ITHTB
!-----------------------------------------------------------------------
!c******** LOOKUP TABLE VARIABLES... ****************************
! parameter(kfnt=250,kfnp=220)
!c
! COMMON/KFLUT/ ttab(kfnt,kfnp),qstab(kfnt,kfnp),the0k(kfnp),
! * alu(200),rdpr,rdthk,plutop
!C***************************************************************
!c
!c***********************************************************************
!c scaling pressure and tt table index
!c***********************************************************************
!c
tp=(p-plutop)*rdpr
qq=tp-aint(tp)
iptb=int(tp)+1
!
!***********************************************************************
! base and scaling factor for the
!***********************************************************************
!
! scaling the and tt table index
bth=(the0k(iptb+1)-the0k(iptb))*qq+the0k(iptb)
tth=(thes-bth)*rdthk
pp =tth-aint(tth)
ithtb=int(tth)+1
!
t00=ttab(ithtb ,iptb )
t10=ttab(ithtb+1,iptb )
t01=ttab(ithtb ,iptb+1)
t11=ttab(ithtb+1,iptb+1)
!
q00=qstab(ithtb ,iptb )
q10=qstab(ithtb+1,iptb )
q01=qstab(ithtb ,iptb+1)
q11=qstab(ithtb+1,iptb+1)
!
!***********************************************************************
! parcel temperature
!***********************************************************************
!
temp=(t00+(t10-t00)*pp+(t01-t00)*qq+(t00-t10-t01+t11)*pp*qq)
!
qs=(q00+(q10-q00)*pp+(q01-q00)*qq+(q00-q10-q01+q11)*pp*qq)
!
IF(QS.LE.QU)THEN
QNEW=QU-QS
QU=QS
ELSE
!
! IF THE PARCEL IS SUBSATURATED, TEMPERATURE AND MIXING RATIO MUST BE
! ADJUSTED...IF LIQUID WATER IS PRESENT, IT IS ALLOWED TO EVAPORATE
!
QNEW=0.
DQ=QS-QU
QTOT=QLIQ+QICE
!
! IF THERE IS ENOUGH LIQUID OR ICE TO SATURATE THE PARCEL, TEMP STAYS AT ITS
! WET BULB VALUE, VAPOR MIXING RATIO IS AT SATURATED LEVEL, AND THE MIXING
! RATIOS OF LIQUID AND ICE ARE ADJUSTED TO MAKE UP THE ORIGINAL SATURATION
! DEFICIT... OTHERWISE, ANY AVAILABLE LIQ OR ICE VAPORIZES AND APPROPRIATE
! ADJUSTMENTS TO PARCEL TEMP; VAPOR, LIQUID, AND ICE MIXING RATIOS ARE MADE.
!
!...subsaturated values only occur in calculations involving various mixtures of
!...updraft and environmental air for estimation of entrainment and detrainment.
!...For these purposes, assume that reasonable estimates can be given using
!...liquid water saturation calculations only - i.e., ignore the effect of the
!...ice phase in this process only...will not affect conservative properties...
!
IF(QTOT.GE.DQ)THEN
qliq=qliq-dq*qliq/qtot
qice=qice-dq*qice/qtot
QU=QS
ELSE
RLL=XLV0-XLV1*TEMP
CPP=1005.7*(1.+0.89*QU)
IF(QTOT.LT.1.E-10)THEN
!
!...IF NO LIQUID WATER OR ICE IS AVAILABLE, TEMPERATURE IS GIVEN BY:
TEMP=TEMP+RLL*(DQ/(1.+DQ))/CPP
ELSE
!
!...IF SOME LIQ WATER/ICE IS AVAILABLE, BUT NOT ENOUGH TO ACHIEVE SATURATION,
! THE TEMPERATURE IS GIVEN BY:
!
TEMP=TEMP+RLL*((DQ-QTOT)/(1+DQ-QTOT))/CPP
QU=QU+QTOT
QTOT=0.
QLIQ=0.
QICE=0.
ENDIF
ENDIF
ENDIF
TU=TEMP
qnewlq=qnew
qnewic=0.
!
END SUBROUTINE TPMIX2
!******************************************************************************
SUBROUTINE DTFRZNEW(TU,P,THTEU,QU,QFRZ,QICE,ALIQ,BLIQ,CLIQ,DLIQ) 2
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
REAL, INTENT(IN ) :: P,QFRZ,ALIQ,BLIQ,CLIQ,DLIQ
REAL, INTENT(INOUT) :: TU,THTEU,QU,QICE
REAL :: RLC,RLS,RLF,CPP,A,DTFRZ,ES,QS,DQEVAP,PII
!-----------------------------------------------------------------------
!
!...ALLOW THE FREEZING OF LIQUID WATER IN THE UPDRAFT TO PROCEED AS AN
!...APPROXIMATELY LINEAR FUNCTION OF TEMPERATURE IN THE TEMPERATURE RANGE
!...TTFRZ TO TBFRZ...
!...FOR COLDER TERMPERATURES, FREEZE ALL LIQUID WATER...
!...THERMODYNAMIC PROPERTIES ARE STILL CALCULATED WITH RESPECT TO LIQUID WATER
!...TO ALLOW THE USE OF LOOKUP TABLE TO EXTRACT TMP FROM THETAE...
!
RLC=2.5E6-2369.276*(TU-273.16)
RLS=2833922.-259.532*(TU-273.16)
RLF=RLS-RLC
CPP=1005.7*(1.+0.89*QU)
!
! A = D(es)/DT IS THAT CALCULATED FROM BUCK (1981) EMPERICAL FORMULAS
! FOR SATURATION VAPOR PRESSURE...
!
A=(CLIQ-BLIQ*DLIQ)/((TU-DLIQ)*(TU-DLIQ))
DTFRZ = RLF*QFRZ/(CPP+RLS*QU*A)
TU = TU+DTFRZ
ES = ALIQ*EXP((BLIQ*TU-CLIQ)/(TU-DLIQ))
QS = ES*0.622/(P-ES)
!
!...FREEZING WARMS THE AIR AND IT BECOMES UNSATURATED...ASSUME THAT SOME OF THE
!...LIQUID WATER THAT IS AVAILABLE FOR FREEZING EVAPORATES TO MAINTAIN SATURA-
!...TION...SINCE THIS WATER HAS ALREADY BEEN TRANSFERRED TO THE ICE CATEGORY,
!...SUBTRACT IT FROM ICE CONCENTRATION, THEN SET UPDRAFT MIXING RATIO AT THE NEW
!...TEMPERATURE TO THE SATURATION VALUE...
!
DQEVAP = QS-QU
QICE = QICE-DQEVAP
QU = QU+DQEVAP
PII=(1.E5/P)**(0.2854*(1.-0.28*QU))
THTEU=TU*PII*EXP((3374.6525/TU-2.5403)*QU*(1.+0.81*QU))
!
END SUBROUTINE DTFRZNEW
! --------------------------------------------------------------------------------
SUBROUTINE CONDLOAD(QLIQ,QICE,WTW,DZ,BOTERM,ENTERM,RATE,QNEWLQ, & 2
QNEWIC,QLQOUT,QICOUT,G)
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
! 9/18/88...THIS PRECIPITATION FALLOUT SCHEME IS BASED ON THE SCHEME US
! BY OGURA AND CHO (1973). LIQUID WATER FALLOUT FROM A PARCEL IS CAL-
! CULATED USING THE EQUATION DQ=-RATE*Q*DT, BUT TO SIMULATE A QUASI-
! CONTINUOUS PROCESS, AND TO ELIMINATE A DEPENDENCY ON VERTICAL
! RESOLUTION THIS IS EXPRESSED AS Q=Q*EXP(-RATE*DZ).
REAL, INTENT(IN ) :: G
REAL, INTENT(IN ) :: DZ,BOTERM,ENTERM,RATE
REAL, INTENT(INOUT) :: QLQOUT,QICOUT,WTW,QLIQ,QICE,QNEWLQ,QNEWIC
REAL :: QTOT,QNEW,QEST,G1,WAVG,CONV,RATIO3,OLDQ,RATIO4,DQ,PPTDRG
!
! 9/18/88...THIS PRECIPITATION FALLOUT SCHEME IS BASED ON THE SCHEME US
! BY OGURA AND CHO (1973). LIQUID WATER FALLOUT FROM A PARCEL IS CAL-
! CULATED USING THE EQUATION DQ=-RATE*Q*DT, BUT TO SIMULATE A QUASI-
! CONTINUOUS PROCESS, AND TO ELIMINATE A DEPENDENCY ON VERTICAL
! RESOLUTION THIS IS EXPRESSED AS Q=Q*EXP(-RATE*DZ).
QTOT=QLIQ+QICE
QNEW=QNEWLQ+QNEWIC
!
! ESTIMATE THE VERTICAL VELOCITY SO THAT AN AVERAGE VERTICAL VELOCITY
! BE CALCULATED TO ESTIMATE THE TIME REQUIRED FOR ASCENT BETWEEN MODEL
! LEVELS...
!
QEST=0.5*(QTOT+QNEW)
G1=WTW+BOTERM-ENTERM-2.*G*DZ*QEST/1.5
IF(G1.LT.0.0)G1=0.
WAVG=0.5*(SQRT(WTW)+SQRT(G1))
CONV=RATE*DZ/WAVG
!
! RATIO3 IS THE FRACTION OF LIQUID WATER IN FRESH CONDENSATE, RATIO4 IS
! THE FRACTION OF LIQUID WATER IN THE TOTAL AMOUNT OF CONDENSATE INVOLV
! IN THE PRECIPITATION PROCESS - NOTE THAT ONLY 60% OF THE FRESH CONDEN
! SATE IS IS ALLOWED TO PARTICIPATE IN THE CONVERSION PROCESS...
!
RATIO3=QNEWLQ/(QNEW+1.E-10)
! OLDQ=QTOT
QTOT=QTOT+0.6*QNEW
OLDQ=QTOT
RATIO4=(0.6*QNEWLQ+QLIQ)/(QTOT+1.E-10)
QTOT=QTOT*EXP(-CONV)
!
! DETERMINE THE AMOUNT OF PRECIPITATION THAT FALLS OUT OF THE UPDRAFT
! PARCEL AT THIS LEVEL...
!
DQ=OLDQ-QTOT
QLQOUT=RATIO4*DQ
QICOUT=(1.-RATIO4)*DQ
!
! ESTIMATE THE MEAN LOAD OF CONDENSATE ON THE UPDRAFT IN THE LAYER, CAL
! LATE VERTICAL VELOCITY
!
PPTDRG=0.5*(OLDQ+QTOT-0.2*QNEW)
WTW=WTW+BOTERM-ENTERM-2.*G*DZ*PPTDRG/1.5
IF(ABS(WTW).LT.1.E-10)WTW=1.E-10
!
! DETERMINE THE NEW LIQUID WATER AND ICE CONCENTRATIONS INCLUDING LOSSE
! DUE TO PRECIPITATION AND GAINS FROM CONDENSATION...
!
QLIQ=RATIO4*QTOT+RATIO3*0.4*QNEW
QICE=(1.-RATIO4)*QTOT+(1.-RATIO3)*0.4*QNEW
QNEWLQ=0.
QNEWIC=0.
END SUBROUTINE CONDLOAD
! ----------------------------------------------------------------------
SUBROUTINE PROF5(EQ,EE,UD) 2
!
!***********************************************************************
!***** GAUSSIAN TYPE MIXING PROFILE....******************************
!CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
! THIS SUBROUTINE INTEGRATES THE AREA UNDER THE CURVE IN THE GAUSSIAN
! DISTRIBUTION...THE NUMERICAL APPROXIMATION TO THE INTEGRAL IS TAKEN FROM
! "HANDBOOK OF MATHEMATICAL FUNCTIONS WITH FORMULAS, GRAPHS AND MATHEMATICS TABLES"
! ED. BY ABRAMOWITZ AND STEGUN, NATL BUREAU OF STANDARDS APPLIED
! MATHEMATICS SERIES. JUNE, 1964., MAY, 1968.
! JACK KAIN
! 7/6/89
!CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
REAL, INTENT(IN ) :: EQ
REAL, INTENT(INOUT) :: EE,UD
REAL :: SQRT2P,A1,A2,A3,P,SIGMA,FE,X,Y,EY,E45,T1,T2,C1,C2
DATA SQRT2P,A1,A2,A3,P,SIGMA,FE/2.506628,0.4361836,-0.1201676, &
0.9372980,0.33267,0.166666667,0.202765151/
X=(EQ-0.5)/SIGMA
Y=6.*EQ-3.
EY=EXP(Y*Y/(-2))
E45=EXP(-4.5)
T2=1./(1.+P*ABS(Y))
T1=0.500498
C1=A1*T1+A2*T1*T1+A3*T1*T1*T1
C2=A1*T2+A2*T2*T2+A3*T2*T2*T2
IF(Y.GE.0.)THEN
EE=SIGMA*(0.5*(SQRT2P-E45*C1-EY*C2)+SIGMA*(E45-EY))-E45*EQ*EQ/2.
UD=SIGMA*(0.5*(EY*C2-E45*C1)+SIGMA*(E45-EY))-E45*(0.5+EQ*EQ/2.- &
EQ)
ELSE
EE=SIGMA*(0.5*(EY*C2-E45*C1)+SIGMA*(E45-EY))-E45*EQ*EQ/2.
UD=SIGMA*(0.5*(SQRT2P-E45*C1-EY*C2)+SIGMA*(E45-EY))-E45*(0.5+EQ* &
EQ/2.-EQ)
ENDIF
EE=EE/FE
UD=UD/FE
END SUBROUTINE PROF5
! ------------------------------------------------------------------------
SUBROUTINE TPMIX2DD(p,thes,ts,qs) 4
!
! Lookup table variables:
! INTEGER, PARAMETER :: (KFNT=250,KFNP=220)
! REAL, SAVE, DIMENSION(1:KFNT,1:KFNP) :: TTAB,QSTAB
! REAL, SAVE, DIMENSION(1:KFNP) :: THE0K
! REAL, SAVE, DIMENSION(1:200) :: ALU
! REAL, SAVE :: RDPR,RDTHK,PLUTOP
! End of Lookup table variables:
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
REAL, INTENT(IN ) :: P,THES
REAL, INTENT(INOUT) :: TS,QS
REAL :: TP,QQ,BTH,TTH,PP,T00,T10,T01,T11,Q00,Q10,Q01,Q11
INTEGER :: IPTB,ITHTB
!-----------------------------------------------------------------------
!
!******** LOOKUP TABLE VARIABLES (F77 format)... ****************************
! parameter(kfnt=250,kfnp=220)
!
! COMMON/KFLUT/ ttab(kfnt,kfnp),qstab(kfnt,kfnp),the0k(kfnp), &
! alu(200),rdpr,rdthk,plutop
!***************************************************************
!
!***********************************************************************
! scaling pressure and tt table index
!***********************************************************************
!
tp=(p-plutop)*rdpr
qq=tp-aint(tp)
iptb=int(tp)+1
!
!***********************************************************************
! base and scaling factor for the
!***********************************************************************
!
! scaling the and tt table index
bth=(the0k(iptb+1)-the0k(iptb))*qq+the0k(iptb)
tth=(thes-bth)*rdthk
pp =tth-aint(tth)
ithtb=int(tth)+1
!
t00=ttab(ithtb ,iptb )
t10=ttab(ithtb+1,iptb )
t01=ttab(ithtb ,iptb+1)
t11=ttab(ithtb+1,iptb+1)
!
q00=qstab(ithtb ,iptb )
q10=qstab(ithtb+1,iptb )
q01=qstab(ithtb ,iptb+1)
q11=qstab(ithtb+1,iptb+1)
!
!***********************************************************************
! parcel temperature and saturation mixing ratio
!***********************************************************************
!
ts=(t00+(t10-t00)*pp+(t01-t00)*qq+(t00-t10-t01+t11)*pp*qq)
!
qs=(q00+(q10-q00)*pp+(q01-q00)*qq+(q00-q10-q01+q11)*pp*qq)
!
END SUBROUTINE TPMIX2DD
! -----------------------------------------------------------------------
SUBROUTINE ENVIRTHT(P1,T1,Q1,THT1,ALIQ,BLIQ,CLIQ,DLIQ) 6
!
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
REAL, INTENT(IN ) :: P1,T1,Q1,ALIQ,BLIQ,CLIQ,DLIQ
REAL, INTENT(INOUT) :: THT1
REAL :: EE,TLOG,ASTRT,AINC,A1,TP,VALUE,AINTRP,TDPT,TSAT,THT, &
T00,P00,C1,C2,C3,C4,C5
INTEGER :: INDLU
!-----------------------------------------------------------------------
DATA T00,P00,C1,C2,C3,C4,C5/273.16,1.E5,3374.6525,2.5403,3114.834, &
0.278296,1.0723E-3/
!
! CALCULATE ENVIRONMENTAL EQUIVALENT POTENTIAL TEMPERATURE...
!
! NOTE: Calculations for mixed/ice phase no longer used...jsk 8/00
!
EE=Q1*P1/(0.622+Q1)
! TLOG=ALOG(EE/ALIQ)
! ...calculate LOG term using lookup table...
!
astrt=1.e-3
ainc=0.075
a1=ee/aliq
tp=(a1-astrt)/ainc
indlu=int(tp)+1
value=(indlu-1)*ainc+astrt
aintrp=(a1-value)/ainc
tlog=aintrp*alu(indlu+1)+(1-aintrp)*alu(indlu)
!
TDPT=(CLIQ-DLIQ*TLOG)/(BLIQ-TLOG)
TSAT=TDPT-(.212+1.571E-3*(TDPT-T00)-4.36E-4*(T1-T00))*(T1-TDPT)
THT=T1*(P00/P1)**(0.2854*(1.-0.28*Q1))
THT1=THT*EXP((C1/TSAT-C2)*Q1*(1.+0.81*Q1))
!
END SUBROUTINE ENVIRTHT
! ***********************************************************************
!====================================================================
SUBROUTINE kf_eta_init(RTHCUTEN,RQVCUTEN,RQCCUTEN,RQRCUTEN, &
RQICUTEN,RQSCUTEN,NCA,W0AVG,P_QI,P_QS, &
SVP1,SVP2,SVP3,SVPT0, &
P_FIRST_SCALAR,restart, &
ids, ide, jds, jde, kds, kde, &
ims, ime, jms, jme, kms, kme, &
its, ite, jts, jte, kts, kte )
!--------------------------------------------------------------------
IMPLICIT NONE
!--------------------------------------------------------------------
LOGICAL , INTENT(IN) :: restart
INTEGER , INTENT(IN) :: ids, ide, jds, jde, kds, kde, &
ims, ime, jms, jme, kms, kme, &
its, ite, jts, jte, kts, kte
INTEGER , INTENT(IN) :: P_QI,P_QS,P_FIRST_SCALAR
REAL, DIMENSION( ims:ime , kms:kme , jms:jme ) , INTENT(OUT) :: &
RTHCUTEN, &
RQVCUTEN, &
RQCCUTEN, &
RQRCUTEN, &
RQICUTEN, &
RQSCUTEN
REAL , DIMENSION( ims:ime , kms:kme , jms:jme ) , INTENT(OUT) :: W0AVG
REAL, DIMENSION( ims:ime , jms:jme ), INTENT(INOUT):: NCA
INTEGER :: i, j, k, itf, jtf, ktf
REAL :: SVP1,SVP2,SVP3,SVPT0
jtf=min0(jte,jde-1)
ktf=min0(kte,kde-1)
itf=min0(ite,ide-1)
IF(.not.restart)THEN
DO j=jts,jtf
DO k=kts,ktf
DO i=its,itf
RTHCUTEN(i,k,j)=0.
RQVCUTEN(i,k,j)=0.
RQCCUTEN(i,k,j)=0.
RQRCUTEN(i,k,j)=0.
ENDDO
ENDDO
ENDDO
IF (P_QI .ge. P_FIRST_SCALAR) THEN
DO j=jts,jtf
DO k=kts,ktf
DO i=its,itf
RQICUTEN(i,k,j)=0.
ENDDO
ENDDO
ENDDO
ENDIF
IF (P_QS .ge. P_FIRST_SCALAR) THEN
DO j=jts,jtf
DO k=kts,ktf
DO i=its,itf
RQSCUTEN(i,k,j)=0.
ENDDO
ENDDO
ENDDO
ENDIF
DO j=jts,jtf
DO i=its,itf
NCA(i,j)=-100.
ENDDO
ENDDO
DO j=jts,jtf
DO k=kts,ktf
DO i=its,itf
W0AVG(i,k,j)=0.
ENDDO
ENDDO
ENDDO
endif
CALL KF_LUTAB(SVP1,SVP2,SVP3,SVPT0)
END SUBROUTINE kf_eta_init
!-------------------------------------------------------
subroutine kf_lutab(SVP1,SVP2,SVP3,SVPT0)
!
! This subroutine is a lookup table.
! Given a series of series of saturation equivalent potential
! temperatures, the temperature is calculated.
!
!--------------------------------------------------------------------
IMPLICIT NONE
!--------------------------------------------------------------------
! Lookup table variables
! INTEGER, SAVE, PARAMETER :: KFNT=250,KFNP=220
! REAL, SAVE, DIMENSION(1:KFNT,1:KFNP) :: TTAB,QSTAB
! REAL, SAVE, DIMENSION(1:KFNP) :: THE0K
! REAL, SAVE, DIMENSION(1:200) :: ALU
! REAL, SAVE :: RDPR,RDTHK,PLUTOP
! End of Lookup table variables
INTEGER :: KP,IT,ITCNT,I
REAL :: DTH,TMIN,TOLER,PBOT,DPR, &
TEMP,P,ES,QS,PI,THES,TGUES,THGUES,F0,T1,T0,THGS,F1,DT, &
ASTRT,AINC,A1,THTGS
REAL :: ALIQ,BLIQ,CLIQ,DLIQ,SVP1,SVP2,SVP3,SVPT0
!
! equivalent potential temperature increment
data dth/1./
! minimum starting temp
data tmin/150./
! tolerance for accuracy of temperature
data toler/0.001/
! top pressure (pascals)
plutop=100.0
! bottom pressure (pascals)
pbot=110000.0
ALIQ = SVP1*1000.
BLIQ = SVP2
CLIQ = SVP2*SVPT0
DLIQ = SVP3
!
! compute parameters
!
! 1._over_(sat. equiv. theta increment)
rdthk=1./dth
! pressure increment
!
DPR=(PBOT-PLUTOP)/REAL(KFNP-1)
! dpr=(pbot-plutop)/REAL(kfnp-1)
! 1._over_(pressure increment)
rdpr=1./dpr
! compute the spread of thes
! thespd=dth*(kfnt-1)
!
! calculate the starting sat. equiv. theta
!
temp=tmin
p=plutop-dpr
do kp=1,kfnp
p=p+dpr
es=aliq*exp((bliq*temp-cliq)/(temp-dliq))
qs=0.622*es/(p-es)
pi=(1.e5/p)**(0.2854*(1.-0.28*qs))
the0k(kp)=temp*pi*exp((3374.6525/temp-2.5403)*qs* &
(1.+0.81*qs))
enddo
!
! compute temperatures for each sat. equiv. potential temp.
!
p=plutop-dpr
do kp=1,kfnp
thes=the0k(kp)-dth
p=p+dpr
do it=1,kfnt
! define sat. equiv. pot. temp.
thes=thes+dth
! iterate to find temperature
! find initial guess
if(it.eq.1) then
tgues=tmin
else
tgues=ttab(it-1,kp)
endif
es=aliq*exp((bliq*tgues-cliq)/(tgues-dliq))
qs=0.622*es/(p-es)
pi=(1.e5/p)**(0.2854*(1.-0.28*qs))
thgues=tgues*pi*exp((3374.6525/tgues-2.5403)*qs* &
(1.+0.81*qs))
f0=thgues-thes
t1=tgues-0.5*f0
t0=tgues
itcnt=0
! iteration loop
do itcnt=1,11
es=aliq*exp((bliq*t1-cliq)/(t1-dliq))
qs=0.622*es/(p-es)
pi=(1.e5/p)**(0.2854*(1.-0.28*qs))
thtgs=t1*pi*exp((3374.6525/t1-2.5403)*qs*(1.+0.81*qs))
f1=thtgs-thes
if(abs(f1).lt.toler)then
exit
endif
! itcnt=itcnt+1
dt=f1*(t1-t0)/(f1-f0)
t0=t1
f0=f1
t1=t1-dt
enddo
ttab(it,kp)=t1
qstab(it,kp)=qs
enddo
enddo
!
! lookup table for tlog(emix/aliq)
!
! set up intial values for lookup tables
!
astrt=1.e-3
ainc=0.075
!
a1=astrt-ainc
do i=1,200
a1=a1+ainc
alu(i)=alog(a1)
enddo
!
END SUBROUTINE KF_LUTAB
END MODULE module_cu_kfeta