MODULE module_cu_kf 3
USE module_wrf_error
REAL , PARAMETER :: RAD = 1500.
CONTAINS
!-------------------------------------------------------------
SUBROUTINE KFCPS( & 1,1
ids,ide, jds,jde, kds,kde &
,ims,ime, jms,jme, kms,kme &
,its,ite, jts,jte, kts,kte &
,DT,KTAU,DX,CUDT,ADAPT_STEP_FLAG &
,rho &
,RAINCV,PRATEC,NCA &
,U,V,TH,T,W,QV,dz8w,Pcps,pi &
,W0AVG,XLV0,XLV1,XLS0,XLS1,CP,R,G,EP1 &
,EP2,SVP1,SVP2,SVP3,SVPT0 &
,STEPCU,CU_ACT_FLAG,warm_rain &
! optional arguments
,F_QV ,F_QC ,F_QR ,F_QI ,F_QS &
,RQVCUTEN,RQCCUTEN,RQRCUTEN,RQICUTEN,RQSCUTEN &
,RTHCUTEN &
)
!-------------------------------------------------------------
IMPLICIT NONE
!-------------------------------------------------------------
INTEGER, INTENT(IN ) :: &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte
INTEGER, INTENT(IN ) :: STEPCU
LOGICAL, INTENT(IN ) :: warm_rain
REAL, INTENT(IN ) :: XLV0,XLV1,XLS0,XLS1
REAL, INTENT(IN ) :: CP,R,G,EP1,EP2
REAL, INTENT(IN ) :: SVP1,SVP2,SVP3,SVPT0
INTEGER, INTENT(IN ) :: KTAU
REAL, DIMENSION( ims:ime , kms:kme , jms:jme ) , &
INTENT(IN ) :: &
U, &
V, &
W, &
TH, &
QV, &
T, &
dz8w, &
Pcps, &
rho, &
pi
!
REAL, INTENT(IN ) :: DT, DX
REAL, INTENT(IN ) :: CUDT
LOGICAL,OPTIONAL, INTENT(IN ) :: ADAPT_STEP_FLAG
REAL, DIMENSION( ims:ime , jms:jme ), &
INTENT(INOUT) :: &
RAINCV &
,PRATEC &
, NCA
REAL, DIMENSION( ims:ime , kms:kme , jms:jme ), &
INTENT(INOUT) :: &
W0AVG
LOGICAL, DIMENSION( ims:ime , jms:jme ), &
INTENT(INOUT) :: CU_ACT_FLAG
!
! Optional arguments
!
REAL, DIMENSION( ims:ime , kms:kme , jms:jme ), &
OPTIONAL, &
INTENT(INOUT) :: &
RTHCUTEN &
,RQVCUTEN &
,RQCCUTEN &
,RQRCUTEN &
,RQICUTEN &
,RQSCUTEN
!
! Flags relating to the optional tendency arrays declared above
! Models that carry the optional tendencies will provdide the
! optional arguments at compile time; these flags all the model
! to determine at run-time whether a particular tracer is in
! use or not.
!
LOGICAL, OPTIONAL :: &
F_QV &
,F_QC &
,F_QR &
,F_QI &
,F_QS
! LOCAL VARS
REAL, DIMENSION( kts:kte ) :: &
U1D, &
V1D, &
T1D, &
DZ1D, &
QV1D, &
P1D, &
RHO1D, &
W0AVG1D
REAL, DIMENSION( kts:kte ):: &
DQDT, &
DQIDT, &
DQCDT, &
DQRDT, &
DQSDT, &
DTDT
REAL :: TST,tv,PRS,RHOE,W0,SCR1,DXSQ,tmp
INTEGER :: i,j,k,NTST,ICLDCK
LOGICAL :: qi_flag , qs_flag
! adjustable time step changes
REAL :: lastdt = -1.0
REAL :: W0AVGfctr, W0fctr, W0den
!----------------------------------------------------------------------
!--- CALL CUMULUS PARAMETERIZATION
!
!...TST IS THE NUMBER OF TIME STEPS IN 10 MINUTES...W0AVG IS CLOSE TO A
!...RUNNING MEAN VERTICAL VELOCITY...NOTE THAT IF YOU CHANGE TST, IT WIL
!...CHANGE THE FREQUENCY OF THE CONVECTIVE INTITIATION CHECK (SEE BELOW)
!...NOTE THAT THE ORDERING OF VERTICAL LAYERS MUST BE REVERSED FOR W0AVG
!...BECAUSE THE ORDERING IS REVERSED IN KFPARA...
!
DXSQ=DX*DX
qi_flag = .FALSE.
qs_flag = .FALSE.
IF ( PRESENT( F_QI ) ) qi_flag = f_qi
IF ( PRESENT( F_QS ) ) qs_flag = f_qs
!----------------------
NTST=STEPCU
TST=float(NTST*2)
!----------------------
! NTST=NINT(1200./(DT*2.))
! TST=float(NTST)
! NTST=NINT(0.5*TST)
! NTST=MAX0(NTST,1)
!----------------------
! ICLDCK=MOD(KTAU,NTST)
!----------------------
! write(0,*) 'DT = ',DT,' KTAU = ',KTAU,' DX = ',DX
! write(0,*) 'CUDT = ',CUDT
! write(0,*) 'ADAPT_STEP_FLAG = ',ADAPT_STEP_FLAG,' IDS = ',IDS
! write(0,*) 'STEPCU = ',STEPCU,' warm_rain = ',warm_rain
! write(0,*) 'F_QV = ',F_QV,' F_QC = ',F_QV
! write(0,*) 'F_QI = ',F_QI,' F_QS = ',F_QS
! write(0,*) 'F_QR = ',F_QR
! stop
if (lastdt < 0) then
lastdt = dt
endif
if (ADAPT_STEP_FLAG) then
W0AVGfctr = 2 * MAX(CUDT*60,dt) - dt
W0fctr = dt
W0den = 2 * MAX(CUDT*60,dt)
else
W0AVGfctr = (TST-1.)
W0fctr = 1.
W0den = TST
endif
DO J = jts,jte
DO K=kts,kte
DO I= its,ite
! SCR1=-5.0E-4*G*rho(I,K,J)*(w(I,K,J)+w(I,K+1,J))
! TV=T(I,K,J)*(1.+EP1*QV(I,K,J))
! RHOE=Pcps(I,K,J)/(R*TV)
! W0=-101.9368*SCR1/RHOE
W0=0.5*(w(I,K,J)+w(I,K+1,J))
! Old:
!
! W0AVG(I,K,J)=(W0AVG(I,K,J)*(TST-1.)+W0)/TST
! New, to support adaptive time step:
!
W0AVG(I,K,J) = ( W0AVG(I,K,J) * W0AVGfctr + W0 * W0fctr ) / W0den
ENDDO
ENDDO
ENDDO
lastdt = dt
DO J = jts,jte
DO I= its,ite
CU_ACT_FLAG(i,j) = .true.
ENDDO
ENDDO
DO J = jts,jte
DO I=its,ite
! if (i.eq. 110 .and. j .eq. 59 ) then
! write(0,*) 'nca = ',nca(i,j),' CU_ACT_FLAG = ',CU_ACT_FLAG(i,j)
! write(0,*) 'dt = ',dt,' ADAPT_STEP_FLAG = ',ADAPT_STEP_FLAG
! endif
! IF ( NINT(NCA(I,J)) .gt. 0 ) then
IF ( NCA(I,J) .gt. 0.5*DT ) then
CU_ACT_FLAG(i,j) = .false.
ELSE
DO k=kts,kte
DQDT(k)=0.
DQIDT(k)=0.
DQCDT(k)=0.
DQRDT(k)=0.
DQSDT(k)=0.
DTDT(k)=0.
ENDDO
RAINCV(I,J)=0.
PRATEC(I,J)=0.
!
! assign vars from 3D to 1D
DO K=kts,kte
U1D(K) =U(I,K,J)
V1D(K) =V(I,K,J)
T1D(K) =T(I,K,J)
RHO1D(K) =rho(I,K,J)
QV1D(K)=QV(I,K,J)
P1D(K) =Pcps(I,K,J)
W0AVG1D(K) =W0AVG(I,K,J)
DZ1D(k)=dz8w(I,K,J)
ENDDO
!
CALL KFPARA(I, J, &
U1D,V1D,T1D,QV1D,P1D,DZ1D, &
W0AVG1D,DT,DX,DXSQ,RHO1D, &
XLV0,XLV1,XLS0,XLS1,CP,R,G, &
EP2,SVP1,SVP2,SVP3,SVPT0, &
DQDT,DQIDT,DQCDT,DQRDT,DQSDT,DTDT, &
RAINCV,PRATEC,NCA, &
warm_rain,qi_flag,qs_flag, &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte )
IF ( PRESENT( RTHCUTEN ) .AND. PRESENT( RQVCUTEN ) ) THEN
DO K=kts,kte
RTHCUTEN(I,K,J)=DTDT(K)/pi(I,K,J)
RQVCUTEN(I,K,J)=DQDT(K)
ENDDO
ENDIF
IF( PRESENT(RQRCUTEN) .AND. PRESENT(RQCCUTEN) .AND. &
PRESENT(F_QR) ) THEN
IF ( F_QR ) THEN
DO K=kts,kte
RQRCUTEN(I,K,J)=DQRDT(K)
RQCCUTEN(I,K,J)=DQCDT(K)
ENDDO
ELSE
! This is the case for Eta microphysics without 3d rain field
DO K=kts,kte
RQRCUTEN(I,K,J)=0.
RQCCUTEN(I,K,J)=DQRDT(K)+DQCDT(K)
ENDDO
ENDIF
ENDIF
!...... QSTEN STORES GRAUPEL TENDENCY IF IT EXISTS, OTHERISE SNOW (V2)
IF( PRESENT( RQICUTEN ) .AND. qi_flag )THEN
DO K=kts,kte
RQICUTEN(I,K,J)=DQIDT(K)
ENDDO
ENDIF
IF( PRESENT ( RQSCUTEN ) .AND. qs_flag )THEN
DO K=kts,kte
RQSCUTEN(I,K,J)=DQSDT(K)
ENDDO
ENDIF
!
ENDIF
ENDDO
ENDDO
END SUBROUTINE KFCPS
!-----------------------------------------------------------
SUBROUTINE KFPARA (I, J, & 1,15
U0,V0,T0,QV0,P0,DZQ,W0AVG1D, &
DT,DX,DXSQ,rho, &
XLV0,XLV1,XLS0,XLS1,CP,R,G, &
EP2,SVP1,SVP2,SVP3,SVPT0, &
DQDT,DQIDT,DQCDT,DQRDT,DQSDT,DTDT, &
RAINCV,PRATEC,NCA, &
warm_rain,qi_flag,qs_flag, &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte )
!-----------------------------------------------------------
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
LOGICAL, INTENT(IN ) :: warm_rain
LOGICAL :: qi_flag, qs_flag
!
REAL, DIMENSION( kts:kte ), &
INTENT(IN ) :: U0, &
V0, &
T0, &
QV0, &
P0, &
rho, &
DZQ, &
W0AVG1D
!
REAL, INTENT(IN ) :: DT,DX,DXSQ
!
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) :: RAINCV, &
PRATEC, &
NCA
!
!...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,RHOE,TVQU,DP,RH,EQFRC,WSPD, &
QDT,FXM,THTAG,THTESG,THPA,THFXTOP, &
THFXBOT,QPA,QFXTOP,QFXBOT,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
! LOCAL VARS
REAL :: P00,T00,CV,B61,RLF,RHIC,RHBC,PIE, &
TTFRZ,TBFRZ,C5,RATE
REAL :: GDRY,ROCP,ALIQ,BLIQ, &
CLIQ,DLIQ,AICE,BICE,CICE,DICE
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,THTUDL,TUDL,TTEMP,FRC1, &
QNEWIC,RL,R1,QNWFRZ,EFFQ,BE,BOTERM,ENTERM,&
DZZ,WSQ,UDLBE,REI,EE2,UD2,TTMP,F1,F2, &
THTTMP,QTMP,TMPLIQ,TMPICE,TU95,TU10,EE1, &
UD1,CLDHGT,DPTT,QNEWLQ,DUMFDP,EE,TSAT, &
THTA,P150,USR,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
INTEGER :: KX,K,KL
!
INTEGER :: ISTOP,ML,L5,L4,KMIX,LOW, &
LC,MXLAYR,LLFC,NLAYRS,NK, &
KPBL,KLCL,LCL,LET,IFLAG, &
KFRZ,NK1,LTOP,NJ,LTOP1, &
LTOPM1,LVF,KSTART,KMIN,LFS, &
ND,NIC,LDB,LDT,ND1,NDK, &
NM,LMAX,NCOUNT,NOITR, &
NSTEP,NTC
!
DATA P00,T00/1.E5,273.16/
DATA CV,B61,RLF/717.,0.608,3.339E5/
DATA RHIC,RHBC/1.,0.90/
DATA PIE,TTFRZ,TBFRZ,C5/3.141592654,268.16,248.16,1.0723E-3/
DATA RATE/0.01/
!-----------------------------------------------------------
GDRY=-G/CP
ROCP=R/CP
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
AICE = 613.2
BICE = 22.452
CICE = 6133.0
DICE = 0.61
!
!...OPTION TO FEED CONVECTIVELY GENERATED RAINWATER
!...INTO GRID-RESOLVED RAINWATER (OR SNOW/GRAUPEL)
!...FIELD. 'FBFRC' IS THE FRACTION OF AVAILABLE
!...PRECIPITATION TO BE FED BACK (0.0 - 1.0)...
!
FBFRC=0.0
!
!...SCHEME IS CALLED ONCE ON EACH NORTH-SOUTH SLICE, THE LOOP BELOW
!...CHECKS FOR THE POSSIBILITY OF INITIATING PARAMETERIZED
!...CONVECTION AT EACH POINT WITHIN THE SLICE
!
!...SEE IF IT IS NECESSARY TO CHECK FOR CONVECTIVE TRIGGERING AT THIS
!...GRID POINT. IF NCA>0, CONVECTION IS ALREADY ACTIVE AT THIS POINT,
!...JUST FEED BACK THE TENDENCIES SAVED FROM THE TIME WHEN CONVECTION
!...WAS INITIATED. IF NCA<0, CONVECTION IS NOT ACTIVE
!...AND YOU MAY WANT TO CHECK TO SEE IF IT CAN BE ACTIVATED FOR THE
!...CURRENT CONDITIONS. IN PREVIOUS APLICATIONS OF THIS SCHEME,
!...THE VARIABLE ICLDCK WAS USED BELOW TO SAVE TIME BY ONLY CHECKING
!...FOR THE POSSIBILITY OF CONVECTIVE INITIATION EVERY 5 OR 10
!...MINUTES...
!
! 10 CONTINUE
!SUE P300=1000.*(PSB(I,J)*A(KL)+PTOP-30.)+PP3D(I,J,KL)
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 15 K=1,KX
!SUE P0(K)=1.E3*(A(NK)*PSB(I,J)+PTOP)+PP3D(I,J,NK)
!
!...IF Q0 IS ABOVE SATURATION VALUE, REDUCE IT TO SATURATION LEVEL...
!
ES=ALIQ*EXP((BLIQ*T0(K)-CLIQ)/(T0(K)-DLIQ))
QES(K)=EP2*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.
TV0(K)=T0(K)*(1.+B61*Q0(K))
RHOE(K)=P0(K)/(R*TV0(K))
DP(K)=rho(k)*g*DZQ(k)
!
!...DZQ IS DZ BETWEEN SIGMA SURFACES, DZA IS DZ BETWEEN MODEL HALF LEVEL
! DP IS THE PRESSURE INTERVAL BETWEEN FULL SIGMA LEVELS...
!
IF(P0(K).GE.500E2)L5=K
IF(P0(K).GE.400E2)L4=K
IF(P0(K).GE.P300)LLFC=K
IF(T0(K).GT.T00)ML=K
15 CONTINUE
Z0(1)=.5*DZQ(1)
DO 20 K=2,KL
Z0(K)=Z0(K-1)+.5*(DZQ(K)+DZQ(K-1))
DZA(K-1)=Z0(K)-Z0(K-1)
20 CONTINUE
DZA(KL)=0.
KMIX=1
25 LOW=KMIX
IF(LOW.GT.LLFC)GOTO 325
LC=LOW
MXLAYR=0
!
!...ASSUME THAT IN ORDER TO SUPPORT A DEEP UPDRAFT YOU NEED A LAYER OF
!...UNSTABLE AIR 50 TO 100 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 60 mb..
!
NLAYRS=0
DPTHMX=0.
DO 63 NK=LC,KX
DPTHMX=DPTHMX+DP(NK)
NLAYRS=NLAYRS+1
63 IF(DPTHMX.GT.6.E3)GOTO 64
GOTO 325
64 KPBL=LC+NLAYRS-1
KMIX=LC+1
18 THMIX=0.
QMIX=0.
ZMIX=0.
PMIX=0.
DPTHMX=0.
!
!...FIND THE THERMODYNAMIC CHARACTERISTICS OF THE LAYER BY
!...MASS-WEIGHTING THE CHARACTERISTICS OF THE INDIVIDUAL MODEL
!...LAYERS...
!
DO 17 NK=LC,KPBL
DPTHMX=DPTHMX+DP(NK)
ROCPQ=0.2854*(1.-0.28*Q0(NK))
THMIX=THMIX+DP(NK)*T0(NK)*(P00/P0(NK))**ROCPQ
QMIX=QMIX+DP(NK)*Q0(NK)
ZMIX=ZMIX+DP(NK)*Z0(NK)
17 PMIX=PMIX+DP(NK)*P0(NK)
THMIX=THMIX/DPTHMX
QMIX=QMIX/DPTHMX
ZMIX=ZMIX/DPTHMX
PMIX=PMIX/DPTHMX
ROCPQ=0.2854*(1.-0.28*QMIX)
TMIX=THMIX*(PMIX/P00)**ROCPQ
EMIX=QMIX*PMIX/(EP2+QMIX)
!
!...FIND THE TEMPERATURE OF THE MIXTURE AT ITS LCL, PRESSURE
!...LEVEL OF LCL...
!
TLOG=ALOG(EMIX/ALIQ)
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)
CPORQ=1./ROCPQ
PLCL=P00*(TLCL/THMIX)**CPORQ
DO 29 NK=LC,KL
KLCL=NK
IF(PLCL.GE.P0(NK))GOTO 35
29 CONTINUE
GOTO 325
35 K=KLCL-1
DLP=ALOG(PLCL/P0(K))/ALOG(P0(KLCL)/P0(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)
TVBAR=0.5*(TV0(K)+TVEN)
! ZLCL=Z0(K)+R*TVBAR*ALOG(P0(K)/PLCL)/G
ZLCL=Z0(K)+(Z0(KLCL)-Z0(K))*DLP
!
!...CHECK TO SEE IF CLOUD IS BUOYANT USING FRITSCH-CHAPPELL TRIGGER
!...FUNCTION DESCRIBED IN KAIN AND FRITSCH (1992)...W0AVG 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...
!
WKLCL=0.02*ZLCL/2.5E3
WKL=(W0AVG1D(K)+(W0AVG1D(KLCL)-W0AVG1D(K))*DLP)*DX/25.E3- &
WKLCL
WABS=ABS(WKL)+1.E-10
WSIGNE=WKL/WABS
DTLCL=4.64*WSIGNE*WABS**0.33
GDT=G*DTLCL*(ZLCL-Z0(LC))/(TV0(LC)+TVEN)
WLCL=1.+.5*WSIGNE*SQRT(ABS(GDT)+1.E-10)
IF(TLCL+DTLCL.GT.TENV)GOTO 45
IF(KPBL.GE.LLFC)GOTO 325
GOTO 25
!
!...CONVECTIVE TRIGGERING CRITERIA HAS BEEN SATISFIED...COMPUTE
!...EQUIVALENT POTENTIAL TEMPERATURE
!...(THETEU) AND VERTICAL VELOCITY OF THE RISING PARCEL AT THE LCL...
!
45 THETEU(K)=TMIX*(1.E5/PMIX)**(0.2854*(1.-0.28*QMIX))* &
EXP((3374.6525/TLCL-2.5403)*QMIX*(1.+0.81*QMIX))
ES=ALIQ*EXP((TENV*BLIQ-CLIQ)/(TENV-DLIQ))
TVAVG=0.5*(TV0(KLCL)+TENV*(1.+0.608*QENV))
PLCL=P0(KLCL)*EXP(G/(R*TVAVG)*(Z0(KLCL)-ZLCL))
QESE=EP2*ES/(PLCL-ES)
GDT=G*DTLCL*(ZLCL-Z0(LC))/(TV0(LC)+TVEN)
WLCL=1.+.5*WSIGNE*SQRT(ABS(GDT)+1.E-10)
THTES(K)=TENV*(1.E5/PLCL)**(0.2854*(1.-0.28*QESE))* &
EXP((3374.6525/TENV-2.5403)*QESE*(1.+0.81*QESE))
WTW=WLCL*WLCL
IF(WLCL.LT.0.)GOTO 25
TVLCL=TLCL*(1.+0.608*QMIX)
RHOLCL=PLCL/(R*TVLCL)
!
LCL=KLCL
LET=LCL
!
!*******************************************************************
! *
! 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
KFRZ=LC
!
!...THE AMOUNT OF CONV AVAIL POT ENERGY (CAPE) IS CALCULATED WITH
! RESPECT TO UNDILUTE PARCEL ASCENT; EQ POT TEMP OF UNDILUTE
! PARCEL IS THTUDL, UNDILUTE TEMPERATURE IS GIVEN BY TUDL...
!
THTUDL=THETEU(K)
TUDL=TLCL
!
!...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...
!
DO 60 NK=K,KL-1
NK1=NK+1
RATIO2(NK1)=RATIO2(NK)
!
!...UPDATE UPDRAFT PROPERTIES AT THE NEXT MODEL LVL TO REFLECT
! ENTRAINMENT OF ENVIRONMENTAL AIR...
!
FRC1=0.
TU(NK1)=T0(NK1)
THETEU(NK1)=THETEU(NK)
QU(NK1)=QU(NK)
QLIQ(NK1)=QLIQ(NK)
QICE(NK1)=QICE(NK)
CALL TPMIX(P0(NK1),THETEU(NK1),TU(NK1),QU(NK1),QLIQ(NK1), &
QICE(NK1),QNEWLQ,QNEWIC,RATIO2(NK1),RL,XLV0,XLV1,XLS0, &
XLS1,EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,BICE,CICE,DICE)
TVU(NK1)=TU(NK1)*(1.+0.608*QU(NK1))
!
!...CHECK TO SEE IF UPDRAFT TEMP IS WITHIN THE FREEZING INTERVAL,
! IF IT IS, CALCULATE THE FRACTIONAL CONVERSION TO GLACIATION
! AND ADJUST QNEWLQ TO REFLECT THE GRADUAL CHANGE IN THETAU
! SINCE THE LAST MODEL LEVEL...THE GLACIATION EFFECTS WILL BE
! DETERMINED AFTER THE AMOUNT OF CONDENSATE AVAILABLE AFTER
! PRECIP FALLOUT IS DETERMINED...TTFRZ IS THE TEMP AT WHICH
! GLACIATION BEGINS, TBFRZ THE TEMP AT WHICH IT ENDS...
!
IF(TU(NK1).LE.TTFRZ.AND.IFLAG.LT.1)THEN
IF(TU(NK1).GT.TBFRZ)THEN
IF(TTEMP.GT.TTFRZ)TTEMP=TTFRZ
FRC1=(TTEMP-TU(NK1))/(TTFRZ-TBFRZ)
R1=(TTEMP-TU(NK1))/(TTEMP-TBFRZ)
ELSE
FRC1=(TTEMP-TBFRZ)/(TTFRZ-TBFRZ)
R1=1.
IFLAG=1
ENDIF
QNWFRZ=QNEWLQ
QNEWIC=QNEWIC+QNEWLQ*R1*0.5
QNEWLQ=QNEWLQ-QNEWLQ*R1*0.5
EFFQ=(TTFRZ-TBFRZ)/(TTEMP-TBFRZ)
TTEMP=TU(NK1)
ENDIF
!
! 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
WSQ=WTW
CALL CONDLOAD(QLIQ(NK1),QICE(NK1),WTW,DZZ,BOTERM,ENTERM,RATE, &
QNEWLQ,QNEWIC,QLQOUT(NK1),QICOUT(NK1), G)
!...IF VERT VELOCITY IS LESS THAN ZERO, EXIT THE UPDRAFT LOOP AND,
! IF CLOUD IS TALL ENOUGH, FINALIZE UPDRAFT CALCULATIONS...
!
IF(WTW.LE.0.)GOTO 65
WABS=SQRT(ABS(WTW))
WU(NK1)=WTW/WABS
!
! UPDATE THE ABE FOR UNDILUTE ASCENT...
!
THTES(NK1)=T0(NK1)*(1.E5/P0(NK1))**(0.2854*(1.-0.28*QES(NK1))) &
* &
EXP((3374.6525/T0(NK1)-2.5403)*QES(NK1)*(1.+0.81* &
QES(NK1)))
UDLBE=((2.*THTUDL)/(THTES(NK)+THTES(NK1))-1.)*DZZ
IF(UDLBE.GT.0.)ABE=ABE+UDLBE*G
!
! DETERMINE THE EFFECTS OF CLOUD GLACIATION IF WITHIN THE SPECIFIED
! TEMP INTERVAL...
!
IF(FRC1.GT.1.E-6)THEN
CALL DTFRZNEW(TU(NK1),P0(NK1),THETEU(NK1),QU(NK1),QLIQ(NK1), &
QICE(NK1),RATIO2(NK1),TTFRZ,TBFRZ,QNWFRZ,RL,FRC1,EFFQ, &
IFLAG,XLV0,XLV1,XLS0,XLS1,EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,BICE &
,CICE,DICE)
ENDIF
!
! CALL SUBROUTINE TO CALCULATE ENVIRONMENTAL EQUIVALENT POTENTIAL TEMP.
! WITHIN GLACIATION INTERVAL, THETAE MUST BE CALCULATED WITH RESPECT TO
! SAME DEGREE OF GLACIATION FOR ALL ENTRAINING AIR...
!
CALL ENVIRTHT(P0(NK1),T0(NK1),Q0(NK1),THETEE(NK1),RATIO2(NK1), &
RL,EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,BICE,CICE,DICE)
!...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 CLOUD PARCELS ARE VIRTUALLY COLDER THAN THE ENVIRONMENT, NO
! ENTRAINMENT IS ALLOWED AT THIS LEVEL...
!
IF(TVQU(NK1).LE.TV0(NK1))THEN
UER(NK1)=0.0
UDR(NK1)=REI
EE2=0.
UD2=1.
EQFRC(NK1)=0.
GOTO 55
ENDIF
LET=NK1
TTMP=TVQU(NK1)
!
!...DETERMINE THE CRITICAL MIXED FRACTION OF UPDRAFT AND ENVIRONMENTAL
! AIR FOR ESTIMATION OF ENTRAINMENT AND DETRAINMENT RATES...
!
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 TPMIX(P0(NK1),THTTMP,TTMP,QTMP,TMPLIQ,TMPICE,QNEWLQ, &
QNEWIC,RATIO2(NK1),RL,XLV0,XLV1,XLS0,XLS1,EP2,ALIQ,BLIQ,CLIQ, &
DLIQ,AICE,BICE,CICE,DICE)
TU95=TTMP*(1.+0.608*QTMP-TMPLIQ-TMPICE)
IF(TU95.GT.TV0(NK1))THEN
EE2=1.
UD2=0.
EQFRC(NK1)=1.0
GOTO 50
ENDIF
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 TPMIX(P0(NK1),THTTMP,TTMP,QTMP,TMPLIQ,TMPICE,QNEWLQ, &
QNEWIC,RATIO2(NK1),RL,XLV0,XLV1,XLS0,XLS1,EP2,ALIQ,BLIQ,CLIQ, &
DLIQ,AICE,BICE,CICE,DICE)
TU10=TTMP*(1.+0.608*QTMP-TMPLIQ-TMPICE)
IF(TU10.EQ.TVQU(NK1))THEN
EE2=1.
UD2=0.
EQFRC(NK1)=1.0
GOTO 50
ENDIF
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.
GOTO 50
ELSEIF(EQFRC(NK1).EQ.0.)THEN
EE2=0.
UD2=1.
GOTO 50
ELSE
!
!...SUBROUTINE PROF5 INTEGRATES OVER THE GAUSSIAN DIST TO DETERMINE THE
! FRACTIONAL ENTRAINMENT AND DETRAINMENT RATES...
!
CALL PROF5(EQFRC(NK1),EE2,UD2)
ENDIF
!
50 IF(NK.EQ.K)THEN
EE1=1.
UD1=0.
ENDIF
!
!...NET ENTRAINMENT AND DETRAINMENT RATES ARE GIVEN BY THE AVERAGE
! FRACTIONAL VALUES IN THE LAYER...
!
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 CALCULATION
!
55 IF(UMF(NK)-UDR(NK1).LT.10.)THEN
!
!...IF THE CALCULATED DETRAINED MASS FLUX IS GREATER THAN THE TOTAL
! UPDRAFT FLUX, IMPOSE TOTAL DETRAINMENT OF UPDRAFT MASS AT THE
! PREVIOUS MODEL
!
IF(UDLBE.GT.0.)ABE=ABE-UDLBE*G
LET=NK
! WRITE(98,1015)P0(NK1)/100.
GOTO 65
ENDIF
EE1=EE2
UD1=UD2
UPOLD=UMF(NK)-UDR(NK1)
UPNEW=UPOLD+UER(NK1)
UMF(NK1)=UPNEW
!
!...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
!
!...KFRZ IS THE HIGHEST MODEL LEVEL AT WHICH LIQUID CONDENSATE IS
! GENERATING PPTLIQ IS THE RATE OF GENERATION (FALLOUT) OF LIQUID
! PRECIP AT A GIVING MODEL LVL, PPTICE THE SAME FOR ICE, TRPPT IS
! THE TOTAL RATE OF PRODUCTION OF PRECIP UP TO THE CURRENT MODEL LEVEL
!
IF(ABS(RATIO2(NK1)-1.).GT.1.E-6)KFRZ=NK1
PPTLIQ(NK1)=QLQOUT(NK1)*(UMF(NK)-UDR(NK1))
PPTICE(NK1)=QICOUT(NK1)*(UMF(NK)-UDR(NK1))
TRPPT=TRPPT+PPTLIQ(NK1)+PPTICE(NK1)
IF(NK1.LE.KPBL)UER(NK1)=UER(NK1)+VMFLCL*DP(NK1)/DPTHMX
60 CONTINUE
!
!...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
! BETWEEN THE LET AND CLOUD TOP...
!
!...LTOP IS THE MODEL LEVEL JUST BELOW THE LEVEL AT WHICH VERTICAL
! VELOCITY FIRST BECOMES NEGATIVE...
!
65 LTOP=NK
CLDHGT=Z0(LTOP)-ZLCL
!
!...IF CLOUD TOP HGT IS LESS THAN SPECIFIED MINIMUM HEIGHT, GO BACK AND
! THE NEXT HIGHEST 60MB LAYER TO SEE IF A BIGGER CLOUD CAN BE OBTAINED
! THAT SOURCE AIR...
!
! IF(CLDHGT.LT.4.E3.OR.ABE.LT.1.)THEN
IF(CLDHGT.LT.3.E3.OR.ABE.LT.1.)THEN
DO 70 NK=K,LTOP
UMF(NK)=0.
UDR(NK)=0.
UER(NK)=0.
DETLQ(NK)=0.
DETIC(NK)=0.
PPTLIQ(NK)=0.
70 PPTICE(NK)=0.
GOTO 25
ENDIF
!
!...IF THE LET AND LTOP ARE THE SAME, DETRAIN ALL OF THE UPDRAFT MASS
! FLUX 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
TRPPT=TRPPT-(PPTLIQ(LTOP)+PPTICE(LTOP))
UER(LTOP)=0.
UMF(LTOP)=0.
GOTO 85
ENDIF
!
! BEGIN TOTAL DETRAINMENT AT THE LEVEL ABOVE THE LET...
!
DPTT=0.
DO 71 NJ=LET+1,LTOP
71 DPTT=DPTT+DP(NJ)
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
! PTOP
!
DO 75 NK=LET+1,LTOP
UDR(NK)=DP(NK)*DUMFDP
UMF(NK)=UMF(NK-1)-UDR(NK)
DETLQ(NK)=QLIQ(NK)*UDR(NK)
DETIC(NK)=QICE(NK)*UDR(NK)
TRPPT=TRPPT-PPTLIQ(NK)-PPTICE(NK)
PPTLIQ(NK)=(UMF(NK-1)-UDR(NK))*QLQOUT(NK)
PPTICE(NK)=(UMF(NK-1)-UDR(NK))*QICOUT(NK)
TRPPT=TRPPT+PPTLIQ(NK)+PPTICE(NK)
75 CONTINUE
!
!...SEND UPDRAFT CHARACTERISTICS TO OUTPUT FILES...
!
85 CONTINUE
!
!...EXTEND THE UPDRAFT MASS FLUX PROFILE DOWN TO THE SOURCE LAYER FOR
! THE UPDRAFT AIR...ALSO, DEFINE THETAE FOR LEVELS BELOW THE LCL...
!
DO 90 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.
EE=Q0(NK)*P0(NK)/(EP2+Q0(NK))
TLOG=ALOG(EE/ALIQ)
TDPT=(CLIQ-DLIQ*TLOG)/(BLIQ-TLOG)
TSAT=TDPT-(.212+1.571E-3*(TDPT-T00)-4.36E-4*(T0(NK)-T00))*( &
T0(NK)-TDPT)
THTA=T0(NK)*(1.E5/P0(NK))**(0.2854*(1.-0.28*Q0(NK)))
THETEE(NK)=THTA* &
EXP((3374.6525/TSAT-2.5403)*Q0(NK)*(1.+0.81*Q0(NK)) &
)
THTES(NK)=THTA* &
EXP((3374.6525/T0(NK)-2.5403)*QES(NK)*(1.+0.81* &
QES(NK)))
EQFRC(NK)=1.0
90 CONTINUE
!
LTOP1=LTOP+1
LTOPM1=LTOP-1
!
!...DEFINE VARIABLES ABOVE CLOUD TOP...
!
DO 95 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)=DP(NK)*DXSQ/G
EMSD(NK)=1./EMS(NK)
TG(NK)=T0(NK)
QG(NK)=Q0(NK)
QLG(NK)=0.
QIG(NK)=0.
QRG(NK)=0.
QSG(NK)=0.
95 OMG(NK)=0.
OMG(KL+1)=0.
P150=P0(KLCL)-1.50E4
DO 100 NK=1,LTOP
THTAD(NK)=0.
EMS(NK)=DP(NK)*DXSQ/G
EMSD(NK)=1./EMS(NK)
!
!...INITIALIZE SOME VARIABLES TO BE USED LATER IN THE VERT ADVECTION
! SCHEME
!
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)
!
!...LVF IS THE LEVEL AT WHICH MOISTURE FLUX IS ESTIMATED AS THE BASIS
!...FOR PRECIPITATION EFFICIENCY CALCULATIONS...
!
IF(P0(NK).GT.P150)LVF=NK
100 OMG(NK)=0.
LVF=MIN0(LVF,LET)
USR=UMF(LVF+1)*(QU(LVF+1)+QLIQ(LVF+1)+QICE(LVF+1))
USR=AMIN1(USR,TRPPT)
IF(USR.LT.1.E-8)USR=TRPPT
!
! 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
!
!...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))
if (VCONV .gt. 0.) then
TIMEC=DX/VCONV
else
TIMEC=3600.
endif
! TIMEC=DX/VCONV
TADVEC=TIMEC
TIMEC=AMAX1(1800.,TIMEC)
TIMEC=AMIN1(3600.,TIMEC)
NIC=NINT(TIMEC/DT)
TIMEC=FLOAT(NIC)*DT
!
!...COMPUTE WIND SHEAR AND PRECIPITATION EFFICIENCY.
!
! SHSIGN = CVMGT(1.,-1.,WSPD(LTOP).GT.WSPD(KLCL))
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
! WRITE(98,1035)PEF,PEFCBH,LC,LET,WKL,VWS
!
!*****************************************************************
! *
! COMPUTE DOWNDRAFT PROPERTIES *
! *
!*****************************************************************
!
!...LET DOWNDRAFT ORIGINATE AT THE LEVEL OF MINIMUM SATURATION EQUIVALEN
!...POTENTIAL TEMPERATURE (SEQT) IN THE CLOUD LAYER, EXTEND DOWNWARD TO
!...SURFACE, OR TO THE LAYER BELOW CLOUD BASE AT WHICH ENVIR SEQT IS LES
!...THAN MIN SEQT IN THE CLOUD LAYER...LET DOWNDRAFT DETRAIN OVER A LAYE
!...OF SPECIFIED PRESSURE-DEPTH (DPDD)...
!
TDER=0.
KSTART=MAX0(KPBL,KLCL)
THTMIN=THTES(KSTART+1)
KMIN=KSTART+1
DO 104 NK=KSTART+2,LTOP-1
THTMIN=AMIN1(THTMIN,THTES(NK))
IF(THTMIN.EQ.THTES(NK))KMIN=NK
104 CONTINUE
LFS=KMIN
IF(RATIO2(LFS).GT.0.)CALL ENVIRTHT(P0(LFS),T0(LFS),Q0(LFS), &
THETEE(LFS),0.,RL,EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,BICE,CICE,DICE)
EQFRC(LFS)=(THTES(LFS)-THETEU(LFS))/(THETEE(LFS)-THETEU(LFS))
EQFRC(LFS)=AMAX1(EQFRC(LFS),0.)
EQFRC(LFS)=AMIN1(EQFRC(LFS),1.)
THETED(LFS)=THTES(LFS)
!
!...ESTIMATE THE EFFECT OF MELTING PRECIPITATION IN THE DOWNDRAFT...
!
IF(ML.GT.0)THEN
DTMLTD=0.5*(QU(KLCL)-QU(LTOP))*RLF/CP
ELSE
DTMLTD=0.
ENDIF
TZ(LFS)=T0(LFS)-DTMLTD
ES=ALIQ*EXP((TZ(LFS)*BLIQ-CLIQ)/(TZ(LFS)-DLIQ))
QS=EP2*ES/(P0(LFS)-ES)
QD(LFS)=EQFRC(LFS)*Q0(LFS)+(1.-EQFRC(LFS))*QU(LFS)
THTAD(LFS)=TZ(LFS)*(P00/P0(LFS))**(0.2854*(1.-0.28*QD(LFS)))
IF(QD(LFS).GE.QS)THEN
THETED(LFS)=THTAD(LFS)* &
EXP((3374.6525/TZ(LFS)-2.5403)*QS*(1.+0.81*QS))
ELSE
CALL ENVIRTHT(P0(LFS),TZ(LFS),QD(LFS),THETED(LFS),0.,RL,EP2,ALIQ, &
BLIQ,CLIQ,DLIQ,AICE,BICE,CICE,DICE)
ENDIF
DO 107 NK=1,LFS
ND=LFS-NK
IF(THETED(LFS).GT.THTES(ND).OR.ND.EQ.1)THEN
LDB=ND
!
!...IF DOWNDRAFT NEVER BECOMES NEGATIVELY BUOYANT OR IF IT
!...IS SHALLOWER 50 mb, DON'T ALLOW IT TO OCCUR AT ALL...
!
IF(NK.EQ.1.OR.(P0(LDB)-P0(LFS)).LT.50.E2)GOTO 141
! testing ---- no downdraft
! GOTO 141
GOTO 110
ENDIF
107 CONTINUE
!
!...ALLOW DOWNDRAFT TO DETRAIN IN A SINGLE LAYER, BUT WITH DOWNDRAFT AIR
!...TYPICALLY FLUSHED UP INTO HIGHER LAYERS AS ALLOWED IN THE TOTAL
!...VERTICAL ADVECTION CALCULATIONS FARTHER DOWN IN THE CODE...
!
110 DPDD=DP(LDB)
LDT=LDB
FRC=1.
DPT=0.
! DO 115 NK=LDB,LFS
! DPT=DPT+DP(NK)
! IF(DPT.GT.DPDD)THEN
! LDT=NK
! FRC=(DPDD+DP(NK)-DPT)/DP(NK)
! GOTO 120
! ENDIF
! IF(NK.EQ.LFS-1)THEN
! LDT=NK
! FRC=1.
! DPDD=DPT
! GOTO 120
! ENDIF
!115 CONTINUE
120 CONTINUE
!
!...TAKE A FIRST GUESS AT THE INITIAL DOWNDRAFT MASS FLUX..
!
TVD(LFS)=T0(LFS)*(1.+0.608*QES(LFS))
RDD=P0(LFS)/(R*TVD(LFS))
A1=(1.-PEFF)*AU0
DMF(LFS)=-A1*RDD
DER(LFS)=EQFRC(LFS)*DMF(LFS)
DDR(LFS)=0.
DO 140 ND=LFS-1,LDB,-1
ND1=ND+1
IF(ND.LE.LDT)THEN
DER(ND)=0.
DDR(ND)=-DMF(LDT+1)*DP(ND)*FRC/DPDD
DMF(ND)=DMF(ND1)+DDR(ND)
FRC=1.
THETED(ND)=THETED(ND1)
QD(ND)=QD(ND1)
ELSE
DER(ND)=DMF(LFS)*0.03*DP(ND)/RAD
DDR(ND)=0.
DMF(ND)=DMF(ND1)+DER(ND)
IF(RATIO2(ND).GT.0.)CALL ENVIRTHT(P0(ND),T0(ND),Q0(ND), &
THETEE(ND),0.,RL,EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,BICE,CICE,DICE)
THETED(ND)=(THETED(ND1)*DMF(ND1)+THETEE(ND)*DER(ND))/DMF(ND)
QD(ND)=(QD(ND1)*DMF(ND1)+Q0(ND)*DER(ND))/DMF(ND)
ENDIF
140 CONTINUE
TDER=0.
!
!...CALCULATION AN EVAPORATION RATE FOR GIVEN MASS FLUX...
!
DO 135 ND=LDB,LDT
TZ(ND)= &
TPDD(P0(ND),THETED(LDT),T0(ND),QS,QD(ND),1.0,XLV0,XLV1, &
EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,BICE,CICE,DICE)
ES=ALIQ*EXP((TZ(ND)*BLIQ-CLIQ)/(TZ(ND)-DLIQ))
QS=EP2*ES/(P0(ND)-ES)
DSSDT=(CLIQ-BLIQ*DLIQ)/((TZ(ND)-DLIQ)*(TZ(ND)-DLIQ))
RL=XLV0-XLV1*TZ(ND)
DTMP=RL*QS*(1.-RHBC)/(CP+RL*RHBC*QS*DSSDT)
T1RH=TZ(ND)+DTMP
ES=RHBC*ALIQ*EXP((BLIQ*T1RH-CLIQ)/(T1RH-DLIQ))
QSRH=EP2*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=T1+(QS-QSRH)*RL/CP
T1RH=TZ(ND)
ENDIF
TZ(ND)=T1RH
QS=QSRH
TDER=TDER+(QS-QD(ND))*DDR(ND)
QD(ND)=QS
135 THTAD(ND)=TZ(ND)*(P00/P0(ND))**(0.2854*(1.-0.28*QD(ND)))
!
!...IF DOWNDRAFT DOES NOT EVAPORATE ANY WATER FOR SPECIFIED RELATIVE
!...HUMIDITY, NO DOWNDRAFT IS ALLOWED...
!
141 IF(TDER.LT.1.)THEN
! WRITE(98,3004)I,J
3004 FORMAT(' ','I=',I3,2X,'J=',I3)
PPTFLX=TRPPT
CPR=TRPPT
TDER=0.
CNDTNF=0.
UPDINC=1.
LDB=LFS
DO 117 NDK=1,LTOP
DMF(NDK)=0.
DER(NDK)=0.
DDR(NDK)=0.
THTAD(NDK)=0.
WD(NDK)=0.
TZ(NDK)=0.
117 QD(NDK)=0.
AINCM2=100.
GOTO 165
ENDIF
!
!...ADJUST DOWNDRAFT MASS FLUX SO THAT EVAPORATION RATE IN DOWNDRAFT IS
!...CONSISTENT WITH PRECIPITATION EFFICIENCY RELATIONSHIP...
!
DEVDMF=TDER/DMF(LFS)
PPR=0.
PPTFLX=PEFF*USR
RCED=TRPPT-PPTFLX
!
!...PPR IS THE TOTAL AMOUNT OF PRECIPITATION THAT FALLS OUT OF THE
!...UPDRAFT FROM CLOUD BASE TO THE LFS...UPDRAFT MASS FLUX WILL BE
!...INCREASED UP TO THE LFS TO ACCOUNT FOR UPDRAFT AIR MIXING WITH
!...ENVIRONMENTAL AIR TO THE UPDRAFT, SO PPR WILL INCREASE
!...PROPORTIONATELY...
!
DO 132 NM=KLCL,LFS
132 PPR=PPR+PPTLIQ(NM)+PPTICE(NM)
IF(LFS.GE.KLCL)THEN
DPPTDF=(1.-PEFF)*PPR*(1.-EQFRC(LFS))/UMF(LFS)
ELSE
DPPTDF=0.
ENDIF
!
!...CNDTNF IS THE AMOUNT OF CONDENSATE TRANSFERRED ALONG WITH UPDRAFT
!...MASS THE DOWNDRAFT AT THE LFS...
!
CNDTNF=(QLIQ(LFS)+QICE(LFS))*(1.-EQFRC(LFS))
DMFLFS=RCED/(DEVDMF+DPPTDF+CNDTNF)
IF(DMFLFS.GT.0.)THEN
TDER=0.
GOTO 141
ENDIF
!
!...DDINC IS THE FACTOR BY WHICH TO INCREASE THE FIRST-GUESS DOWNDRAFT
!...MASS FLUX TO SATISFY THE PRECIP EFFICIENCY RELATIONSHIP, UPDINC IS T
!...WHICH TO INCREASE THE UPDRAFT MASS FLUX BELOW THE LFS TO ACCOUNT FOR
!...TRANSFER OF MASS FROM UPDRAFT TO DOWNDRAFT...
!
! DDINC=DMFLFS/DMF(LFS)
IF(LFS.GE.KLCL)THEN
UPDINC=(UMF(LFS)-(1.-EQFRC(LFS))*DMFLFS)/UMF(LFS)
!
!...LIMIT UPDINC TO LESS THAN OR EQUAL TO 1.5...
!
IF(UPDINC.GT.1.5)THEN
UPDINC=1.5
DMFLFS2=UMF(LFS)*(UPDINC-1.)/(EQFRC(LFS)-1.)
RCED2=DMFLFS2*(DEVDMF+DPPTDF+CNDTNF)
PPTFLX=PPTFLX+(RCED-RCED2)
PEFF2=PPTFLX/USR
RCED=RCED2
DMFLFS=DMFLFS2
ENDIF
ELSE
UPDINC=1.
ENDIF
DDINC=DMFLFS/DMF(LFS)
DO 149 NK=LDB,LFS
DMF(NK)=DMF(NK)*DDINC
DER(NK)=DER(NK)*DDINC
DDR(NK)=DDR(NK)*DDINC
149 CONTINUE
CPR=TRPPT+PPR*(UPDINC-1.)
PPTFLX=PPTFLX+PEFF*PPR*(UPDINC-1.)
PEFF=PEFF2
TDER=TDER*DDINC
!
!...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 155 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
155 DETIC(NK)=DETIC(NK)*UPDINC
!
!...ZERO OUT THE ARRAYS FOR DOWNDRAFT DATA AT LEVELS ABOVE AND BELOW THE
!...DOWNDRAFT...
!
IF(LDB.GT.1)THEN
DO 156 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.
156 CONTINUE
ENDIF
DO 157 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.
157 CONTINUE
DO 158 NK=LDT+1,LFS-1
TZ(NK)=0.
QD(NK)=0.
158 CONTINUE
!
!
!...SET LIMITS ON THE UPDRAFT AND DOWNDRAFT MASS FLUXES SO THAT THE
! INFLOW INTO CONVECTIVE DRAFTS FROM A GIVEN LAYER IS NO MORE THAN
! IS AVAILABLE IN THAT LAYER INITIALLY...
!
165 AINCMX=1000.
LMAX=MAX0(KLCL,LFS)
DO 166 NK=LC,LMAX
IF((UER(NK)-DER(NK)).GT.0.)AINCM1=EMS(NK)/((UER(NK)-DER(NK))* &
TIMEC)
AINCMX=AMIN1(AINCMX,AINCM1)
166 CONTINUE
AINC=1.
IF(AINCMX.LT.AINC)AINC=AINCMX
!
!...SAVE THE RELEVENT VARIABLES FOR A UNIT UPDRFT AND DOWNDRFT...THEY
!...WILL ITERATIVELY ADJUSTED BY THE FACTOR AINC TO SATISFY THE
!...STABILIZATION CLOSURE...
!
NCOUNT=0
TDER2=TDER
PPTFL2=PPTFLX
DO 170 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)
170 CONTINUE
FABE=1.
STAB=0.95
NOITR=0
IF(AINC/AINCMX.GT.0.999)THEN
NCOUNT=0
GOTO 255
ENDIF
ISTOP=0
175 NCOUNT=NCOUNT+1
!
!*****************************************************************
! *
! COMPUTE PROPERTIES FOR COMPENSATIONAL SUBSIDENCE *
! *
!*****************************************************************
!
!...DETERMINE OMEGA VALUE NECESSARY AT TOP AND BOTTOM OF EACH LAYER TO
!...SATISFY MASS CONTINUITY...
!
185 CONTINUE
DTT=TIMEC
DO 200 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
200 CONTINUE
DO 488 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
488 CONTINUE
!
!...DO AN UPSTREAM/FORWARD-IN-TIME ADVECTION OF THETA, QV...
!
DO 495 NTC=1,NSTEP
!
!...ASSIGN THETA AND Q VALUES AT THE TOP AND BOTTOM OF EACH LAYER BASED
!...SIGN OF OMEGA...
!
DO 493 NK=1,LTOP
THFXTOP(NK)=0.
THFXBOT(NK)=0.
QFXTOP(NK)=0.
493 QFXBOT(NK)=0.
DO 494 NK=2,LTOP
IF(OMG(NK).LE.0.)THEN
THFXBOT(NK)=-FXM(NK)*THPA(NK-1)
QFXBOT(NK)=-FXM(NK)*QPA(NK-1)
THFXTOP(NK-1)=THFXTOP(NK-1)-THFXBOT(NK)
QFXTOP(NK-1)=QFXTOP(NK-1)-QFXBOT(NK)
ELSE
THFXBOT(NK)=-FXM(NK)*THPA(NK)
QFXBOT(NK)=-FXM(NK)*QPA(NK)
THFXTOP(NK-1)=THFXTOP(NK-1)-THFXBOT(NK)
QFXTOP(NK-1)=QFXTOP(NK-1)-QFXBOT(NK)
ENDIF
494 CONTINUE
!
!...UPDATE THE THETA AND QV VALUES AT EACH LEVEL..
!
DO 492 NK=1,LTOP
THPA(NK)=THPA(NK)+(THFXBOT(NK)+UDR(NK)*THTAU(NK)+DDR(NK)* &
THTAD(NK)+THFXTOP(NK)-(UER(NK)-DER(NK))*THTA0(NK))* &
DTIME*EMSD(NK)
QPA(NK)=QPA(NK)+(QFXBOT(NK)+UDR(NK)*QDT(NK)+DDR(NK)*QD(NK)+ &
QFXTOP(NK)-(UER(NK)-DER(NK))*Q0(NK))*DTIME*EMSD(NK)
492 CONTINUE
495 CONTINUE
DO 498 NK=1,LTOP
THTAG(NK)=THPA(NK)
QG(NK)=QPA(NK)
498 CONTINUE
!
!...CHECK TO SEE IF MIXING RATIO DIPS BELOW ZERO ANYWHERE; IF SO,
!...BORROW MOISTURE FROM ADJACENT LAYERS TO BRING IT BACK UP ABOVE ZERO.
!
DO 499 NK=1,LTOP
IF(QG(NK).LT.0.)THEN
IF(NK.EQ.1)THEN
CALL wrf_error_fatal ( 'module_cu_kf.F: problem with kf scheme: qg = 0 at the surface' )
ENDIF
NK1=NK+1
IF(NK.EQ.LTOP)NK1=KLCL
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, &
' PERCENT WHEN MOISTURE IS BORROWED TO PREVENT NEG VALUES', &
' IN KAIN-FRITSCH'
ENDIF
ENDIF
QG(NK)=1.E-9
QG(NK1)=TMA*EMSD(NK1)
QG(NK-1)=TMB*EMSD(NK-1)
ENDIF
499 CONTINUE
TOPOMG=(UDR(LTOP)-UER(LTOP))*DP(LTOP)*EMSD(LTOP)
IF(ABS(TOPOMG-OMG(LTOP)).GT.1.E-3)THEN
! WRITE(98,*)'ERROR: MASS DOES NOT BALANCE IN KF SCHEME;'
! * ,'TOPOMG, OMG =',TOPOMG,OMG(LTOP)
WRITE(6,*)'ERROR: MASS DOES NOT BALANCE IN KF SCHEME;' &
,'TOPOMG, OMG =',TOPOMG,OMG(LTOP)
ISTOP=1
GOTO 265
ENDIF
!
!...CONVERT THETA TO T...
!
! PAY ATTENTION ...
!
DO 230 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))
230 CONTINUE
!
!*******************************************************************
! *
! COMPUTE NEW CLOUD AND CHANGE IN AVAILABLE BUOYANT ENERGY. *
! *
!*******************************************************************
!
!...THE FOLLOWING COMPUTATIONS ARE SIMILAR TO THAT FOR UPDRAFT
!
THMIX=0.
QMIX=0.
PMIX=0.
DO 217 NK=LC,KPBL
ROCPQ=0.2854*(1.-0.28*QG(NK))
THMIX=THMIX+DP(NK)*TG(NK)*(P00/P0(NK))**ROCPQ
QMIX=QMIX+DP(NK)*QG(NK)
217 PMIX=PMIX+DP(NK)*P0(NK)
THMIX=THMIX/DPTHMX
QMIX=QMIX/DPTHMX
PMIX=PMIX/DPTHMX
ROCPQ=0.2854*(1.-0.28*QMIX)
TMIX=THMIX*(PMIX/P00)**ROCPQ
ES=ALIQ*EXP((TMIX*BLIQ-CLIQ)/(TMIX-DLIQ))
QS=EP2*ES/(PMIX-ES)
!
!...REMOVE SUPERSATURATION FOR DIAGNOSTIC PURPOSES, IF NECESSARY...
!
IF(QMIX.GT.QS)THEN
RL=XLV0-XLV1*TMIX
CPM=CP*(1.+0.887*QMIX)
DSSDT=QS*(CLIQ-BLIQ*DLIQ)/((TMIX-DLIQ)*(TMIX-DLIQ))
DQ=(QMIX-QS)/(1.+RL*DSSDT/CPM)
TMIX=TMIX+RL/CP*DQ
QMIX=QMIX-DQ
ROCPQ=0.2854*(1.-0.28*QMIX)
THMIX=TMIX*(P00/PMIX)**ROCPQ
TLCL=TMIX
PLCL=PMIX
ELSE
QMIX=AMAX1(QMIX,0.)
EMIX=QMIX*PMIX/(EP2+QMIX)
TLOG=ALOG(EMIX/ALIQ)
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)
CPORQ=1./ROCPQ
PLCL=P00*(TLCL/THMIX)**CPORQ
ENDIF
TVLCL=TLCL*(1.+0.608*QMIX)
DO 235 NK=LC,KL
KLCL=NK
235 IF(PLCL.GE.P0(NK))GOTO 240
240 K=KLCL-1
DLP=ALOG(PLCL/P0(K))/ALOG(P0(KLCL)/P0(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)
TVBAR=0.5*(TVG(K)+TVEN)
! ZLCL=Z0(K)+R*TVBAR*ALOG(P0(K)/PLCL)/G
ZLCL=Z0(K)+(Z0(KLCL)-Z0(K))*DLP
TVAVG=0.5*(TVEN+TG(KLCL)*(1.+0.608*QG(KLCL)))
PLCL=P0(KLCL)*EXP(G/(R*TVAVG)*(Z0(KLCL)-ZLCL))
THETEU(K)=TMIX*(1.E5/PMIX)**(0.2854*(1.-0.28*QMIX))* &
EXP((3374.6525/TLCL-2.5403)*QMIX*(1.+0.81*QMIX))
ES=ALIQ*EXP((TENV*BLIQ-CLIQ)/(TENV-DLIQ))
QESE=EP2*ES/(PLCL-ES)
THTESG(K)=TENV*(1.E5/PLCL)**(0.2854*(1.-0.28*QESE))* &
EXP((3374.6525/TENV-2.5403)*QESE*(1.+0.81*QESE))
!
!...COMPUTE ADJUSTED ABE(ABEG).
!
ABEG=0.
THTUDL=THETEU(K)
DO 245 NK=K,LTOPM1
NK1=NK+1
ES=ALIQ*EXP((TG(NK1)*BLIQ-CLIQ)/(TG(NK1)-DLIQ))
QESE=EP2*ES/(P0(NK1)-ES)
THTESG(NK1)=TG(NK1)*(1.E5/P0(NK1))**(0.2854*(1.-0.28*QESE))* &
EXP((3374.6525/TG(NK1)-2.5403)*QESE*(1.+0.81*QESE) &
)
! DZZ=CVMGT(Z0(KLCL)-ZLCL,DZA(NK),NK.EQ.K)
IF(NK.EQ.K)THEN
DZZ=Z0(KLCL)-ZLCL
ELSE
DZZ=DZA(NK)
ENDIF
BE=((2.*THTUDL)/(THTESG(NK1)+THTESG(NK))-1.)*DZZ
245 IF(BE.GT.0.)ABEG=ABEG+BE*G
!
!...ASSUME AT LEAST 90% OF CAPE (ABE) IS REMOVED BY CONVECTION DURING
!...THE PERIOD TIMEC...
!
IF(NOITR.EQ.1)THEN
! WRITE(98,1060)FABE
GOTO 265
ENDIF
DABE=AMAX1(ABE-ABEG,0.1*ABE)
FABE=ABEG/(ABE+1.E-8)
IF(FABE.GT.1.)THEN
! WRITE(98,*)'UPDRAFT/DOWNDRAFT COUPLET INCREASES CAPE AT THIS '
! *,'GRID POINT; NO CONVECTION ALLOWED!'
GOTO 325
ENDIF
IF(NCOUNT.NE.1)THEN
DFDA=(FABE-FABEOLD)/(AINC-AINCOLD)
IF(DFDA.GT.0.)THEN
NOITR=1
AINC=AINCOLD
GOTO 255
ENDIF
ENDIF
AINCOLD=AINC
FABEOLD=FABE
IF(AINC/AINCMX.GT.0.999.AND.FABE.GT.1.05-STAB)THEN
! WRITE(98,1055)FABE
GOTO 265
ENDIF
IF(FABE.LE.1.05-STAB.AND.FABE.GE.0.95-STAB)GOTO 265
IF(NCOUNT.GT.10)THEN
! WRITE(98,1060)FABE
GOTO 265
ENDIF
!
!...IF MORE THAN 10% OF THE ORIGINAL CAPE REMAINS, INCREASE THE
!...CONVECTIVE 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
255 AINC=AMIN1(AINCMX,AINC)
!...IF AINC BECOMES VERY SMALL, EFFECTS OF CONVECTION
!...WILL BE MINIMAL SO JUST IGNORE IT...
IF(AINC.LT.0.05)GOTO 325
! AINC=AMAX1(AINC,0.05)
TDER=TDER2*AINC
PPTFLX=PPTFL2*AINC
! WRITE(98,1080)LFS,LDB,LDT,TIMEC,NSTEP,NCOUNT,FABEOLD,AINCOLD
DO 260 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
260 CONTINUE
!
!...GO BACK UP FOR ANOTHER ITERATION...
!
GOTO 175
265 CONTINUE
!
!...CLEAN THINGS UP, CALCULATE CONVECTIVE FEEDBACK TENDENCIES FOR THIS
!...GRID POINT...
!
!...COMPUTE HYDROMETEOR TENDENCIES AS IS DONE FOR T, QV...
!
!...FRC2 IS THE FRACTION OF TOTAL CONDENSATE
!...GENERATED THAT GOES INTO PRECIPITIATION
FRC2=PPTFLX/(CPR*AINC)
DO 270 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
SNOWFB(NK)=PPTICE(NK)*AINC*FBFRC*FRC2
270 CONTINUE
DO 290 NTC=1,NSTEP
!
!...ASSIGN HYDROMETEORS CONCENTRATIONS AT THE TOP AND BOTTOM OF EACH
!...LAYER BASED ON THE SIGN OF OMEGA...
!
DO 275 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.
275 CONTINUE
DO 280 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
280 CONTINUE
!
!...UPDATE THE HYDROMETEOR CONCENTRATION VALUES AT EACH LEVEL...
!
DO 285 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)+QLQOUT(NK)*UDR(NK)-QRFXOUT(NK) &
+RAINFB(NK))*DTIME*EMSD(NK)
QSPA(NK)=QSPA(NK)+(QSFXIN(NK)+QICOUT(NK)*UDR(NK)-QSFXOUT(NK) &
+SNOWFB(NK))*DTIME*EMSD(NK)
285 CONTINUE
290 CONTINUE
DO 295 NK=1,LTOP
QLG(NK)=QLPA(NK)
QIG(NK)=QIPA(NK)
QRG(NK)=QRPA(NK)
QSG(NK)=QSPA(NK)
295 CONTINUE
! WRITE(98,1080)LFS,LDB,LDT,TIMEC,NSTEP,NCOUNT,FABE,AINC
!
!...SEND FINAL PARAMETERIZED VALUES TO OUTPUT FILES...
!
IF(ISTOP.EQ.1)THEN
WRITE(6,1070)' P ',' DP ',' DT K/D ',' DR K/D ',' OMG ', &
' DOMGDP ',' UMF ',' UER ',' UDR ',' DMF ',' DER ' &
,' DDR ',' EMS ',' W0 ',' DETLQ ',' DETIC '
DO 300 K=LTOP,1,-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 (6,1075)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
300 CONTINUE
WRITE(6,1085)'K','P','Z','T0','TG','DT','TU','TD','Q0','QG', &
'DQ','QU','QD','QLG','QIG','QRG','QSG','RH0','RHG'
DO 305 K=KX,1,-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.
ES=ALIQ*EXP((BLIQ*TG(K)-CLIQ)/(TG(K)-DLIQ))
QGS=ES*EP2/(P0(K)-ES)
RH0=Q0(K)/QES(K)
RHG=QG(K)/QGS
WRITE (6,1090)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
305 CONTINUE
!
!...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)THEN
DO 310 K=1,KX
WRITE ( wrf_err_message , 1115 ) &
Z0(K),P0(K)/100.,T0(K)-273.16,Q0(K)*1000., &
U0(K),V0(K),DP(K)/100.,W0AVG1D(K)
CALL wrf_message ( TRIM( wrf_err_message ) )
310 CONTINUE
CALL wrf_error_fatal ( 'module_cu_kf.F: KAIN-FRITSCH' )
ENDIF
ENDIF
CNDTNF=(1.-EQFRC(LFS))*(QLIQ(LFS)+QICE(LFS))*DMF(LFS)
! 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)
ERR2=(QFNL-QINIT)*100./QINIT
! WRITE(98,1110)QINIT,QFNL,ERR2
! IF(ABS(ERR2).GT.0.05)STOP 'QVERR'
IF(ABS(ERR2).GT.0.05)CALL wrf_error_fatal( 'module_cu_kf.F: QVERR' )
RELERR=ERR2*QINIT/(PPTFLX*TIMEC+1.E-10)
! WRITE(98,1120)RELERR
! WRITE(98,*)'TDER, CPR, USR, TRPPT =',
! *TDER,CPR*AINC,USR*AINC,TRPPT*AINC
!
!...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)*DT
DO 320 K=1,KX
! IF(IMOIST.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))
! DQCDT(K)=0.
! DQIDT(K)=0.
! DQRDT(K)=0.
! DQSDT(K)=0.
! ELSE
IF(.NOT. qi_flag .and. warm_rain)THEN
!
!...IF ICE PHASE IS NOT ALLOWED, MELT ALL FROZEN HYDROMETEORS...
!
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(.NOT. qi_flag .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(qi_flag) THEN
!
!...IF MIXED PHASE HYDROMETEORS ARE ALLOWED, FEED BACK CONVECTIVE
!...TENDENCY 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 (qs_flag ) THEN
DQSDT(K)=(QSG(K)-QS0(K))/TIMEC
ELSE
DQIDT(K)=DQIDT(K)+(QSG(K)-QS0(K))/TIMEC
ENDIF
ELSE
CALL wrf_error_fatal ( 'module_cu_kf: THIS COMBINATION OF IMOIST, IICE NOT ALLOWED' )
ENDIF
! ENDIF
DTDT(K)=(TG(K)-T0(K))/TIMEC
DQDT(K)=(QG(K)-Q0(K))/TIMEC
320 CONTINUE
! RAINCV is in the unit of mm
PRATEC(I,J)=PPTFLX*(1.-FBFRC)/DXSQ
RAINCV(I,J)=DT*PRATEC(I,J)
RNC=RAINCV(I,J)*NIC
! WRITE(98,909)RNC
909 FORMAT(' CONVECTIVE RAINFALL =',F8.4,' CM')
325 CONTINUE
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)
1040 FORMAT(' ','PRECIP EFF = 100%, ENVIR CANNOT SUPPORT DOWND' &
,'RAFTS')
!1045 FORMAT('NUMBER OF DOWNDRAFT ITERATIONS EXCEEDS 10...PPTFLX' &
! ' IS DIFFERENT FROM THAT GIVEN BY PRECIP EFF RELATION')
! FLIC HAS TROUBLE WITH THIS ONE.
1045 FORMAT('NUMBER OF DOWNDRAFT ITERATIONS EXCEEDS 10')
1050 FORMAT(' ','LCOUNT= ',I3,' PPTFLX/CPR, PEFF= ',F5.3,1X,F5.3, &
'DMF(LFS)/UMF(LCL)= ',F5.3)
1055 FORMAT(/'*** DEGREE OF STABILIZATION =',F5.3,', NO MORE MASS F' &
,'LUX IS ALLOWED')
!1060 FORMAT(/' ITERATION DOES NOT CONVERGE TO GIVE THE SPECIFIED ' &
! 'DEGREE OF STABILIZATION! FABE= ',F6.4)
1060 FORMAT(/' ITERATION DOES NOT CONVERGE. 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, NSTEP=',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,'PERCENT')
1110 FORMAT(' ','INITIAL WATER =',E12.5,' FINAL WATER =',E12.5, &
' TOTAL WATER CHANGE =',F8.2,'PERCENT')
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, &
'PERCENT')
END SUBROUTINE KFPARA
!-----------------------------------------------------------------------
SUBROUTINE CONDLOAD(QLIQ,QICE,WTW,DZ,BOTERM,ENTERM,RATE,QNEWLQ, & 1
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
QTOT=QLIQ+QICE
QNEW=QNEWLQ+QNEWIC
!
! ESTIMATE THE VERTICAL VELOCITY SO THAT AN AVERAGE VERTICAL VELOCITY C
! 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=(SQRT(WTW)+SQRT(G1))/2.
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
!
! 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 DTFRZNEW(TU,P,THTEU,QVAP,QLIQ,QICE,RATIO2,TTFRZ,TBFRZ, & 1
QNWFRZ,RL,FRC1,EFFQ,IFLAG,XLV0,XLV1,XLS0,XLS1, &
EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,BICE,CICE,DICE )
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
REAL, INTENT(IN ) :: XLV0,XLV1
REAL, INTENT(IN ) :: P,TTFRZ,TBFRZ,EFFQ,XLS0,XLS1,EP2,ALIQ, &
BLIQ,CLIQ,DLIQ,AICE,BICE,CICE,DICE
REAL, INTENT(INOUT) :: TU,THTEU,QVAP,QLIQ,QICE,RATIO2, &
FRC1,RL,QNWFRZ
INTEGER, INTENT(INOUT) :: IFLAG
REAL :: CCP,RV,C5,QLQFRZ,QNEW,ESLIQ,ESICE,RLC,RLS,PI,ES,RLF,A, &
B,C,DQVAP,DTFRZ,TU1,QVAP1
!-----------------------------------------------------------------------
!
!...ALLOW GLACIATION OF THE UPDRAFT TO OCCUR AS AN APPROXIMATELY LINEAR
! FUNCTION OF TEMPERATURE IN THE TEMPERATURE RANGE TTFRZ TO TBFRZ...
!
RV=461.5
C5=1.0723E-3
!
!...ADJUST THE LIQUID WATER CONCENTRATIONS FROM FRESH CONDENSATE AND THA
! BROUGHT UP FROM LOWER LEVELS TO AN AMOUNT THAT WOULD BE PRESENT IF N
! LIQUID WATER HAD FROZEN THUS FAR...THIS IS NECESSARY BECAUSE THE
! EXPRESSION FOR TEMP CHANGE IS MULTIPLIED BY THE FRACTION EQUAL TO TH
! PARCEL TEMP DECREASE SINCE THE LAST MODEL LEVEL DIVIDED BY THE TOTAL
! GLACIATION INTERVAL, SO THAT EFFECTIVELY THIS APPROXIMATELY ALLOWS A
! AMOUNT OF LIQUID WATER TO FREEZE WHICH IS EQUAL TO THIS SAME FRACTIO
! OF THE LIQUID WATER THAT WAS PRESENT BEFORE THE GLACIATION PROCESS W
! INITIATED...ALSO, TO ALLOW THETAU TO CONVERT APPROXIMATELY LINEARLY
! ITS VALUE WITH RESPECT TO ICE, WE NEED TO ALLOW A PORTION OF THE FRE
! CONDENSATE TO CONTRIBUTE TO THE GLACIATION PROCESS; THE FRACTIONAL
! AMOUNT THAT APPLIES TO THIS PORTION IS 1/2 OF THE FRACTIONAL AMOUNT
! FROZEN OF THE "OLD" CONDENSATE BECAUSE THIS FRESH CONDENSATE IS ONLY
! PRODUCED GRADUALLY OVER THE LAYER...NOTE THAT IN TERMS OF THE DYNAMI
! OF THE PRECIPITATION PROCESS, IE. PRECIPITATION FALLOUT, THIS FRACTI
! AMNT OF FRESH CONDENSATE HAS ALREADY BEEN INCLUDED IN THE ICE CATEGO
!
QLQFRZ=QLIQ*EFFQ
QNEW=QNWFRZ*EFFQ*0.5
ESLIQ=ALIQ*EXP((BLIQ*TU-CLIQ)/(TU-DLIQ))
ESICE=AICE*EXP((BICE*TU-CICE)/(TU-DICE))
RLC=2.5E6-2369.276*(TU-273.16)
RLS=2833922.-259.532*(TU-273.16)
RLF=RLS-RLC
CCP=1005.7*(1.+0.89*QVAP)
!
! A = D(ES)/DT IS THAT CALCULATED FROM BUCK`S (1981) EMPIRICAL FORMULAS
! FOR SATURATION VAPOR PRESSURE...
!
A=(CICE-BICE*DICE)/((TU-DICE)*(TU-DICE))
B=RLS*EP2/P
C=A*B*ESICE/CCP
DQVAP=B*(ESLIQ-ESICE)/(RLS+RLS*C)-RLF*(QLQFRZ+QNEW)/(RLS+RLS/C)
DTFRZ=(RLF*(QLQFRZ+QNEW)+B*(ESLIQ-ESICE))/(CCP+A*B*ESICE)
TU1=TU
QVAP1=QVAP
TU=TU+FRC1*DTFRZ
QVAP=QVAP-FRC1*DQVAP
ES=QVAP*P/(EP2+QVAP)
ESLIQ=ALIQ*EXP((BLIQ*TU-CLIQ)/(TU-DLIQ))
ESICE=AICE*EXP((BICE*TU-CICE)/(TU-DICE))
RATIO2=(ESLIQ-ES)/(ESLIQ-ESICE)
!
! TYPICALLY, RATIO2 IS VERY CLOSE TO (TTFRZ-TU)/(TTFRZ-TBFRZ), USUALLY
! WITHIN 1% (USING TU BEFORE GALCIATION EFFECTS ARE APPLIED); IF THE
! INITIAL UPDRAFT TEMP IS BELOW TBFRZ AND RATIO2 IS STILL LESS THAN 1,
! AN ADJUSTMENT TO FRC1 AND RATIO2 IS INTRODUCED SO THAT GLACIATION
! EFFECTS ARE NOT UNDERESTIMATED; CONVERSELY, IF RATIO2 IS GREATER THAN
! FRC1 IS ADJUSTED SO THAT GLACIATION EFFECTS ARE NOT OVERESTIMATED...
!
IF(IFLAG.GT.0.AND.RATIO2.LT.1)THEN
FRC1=FRC1+(1.-RATIO2)
TU=TU1+FRC1*DTFRZ
QVAP=QVAP1-FRC1*DQVAP
RATIO2=1.
IFLAG=1
GOTO 20
ENDIF
IF(RATIO2.GT.1.)THEN
FRC1=FRC1-(RATIO2-1.)
FRC1=AMAX1(0.0,FRC1)
TU=TU1+FRC1*DTFRZ
QVAP=QVAP1-FRC1*DQVAP
RATIO2=1.
IFLAG=1
ENDIF
!
! CALCULATE A HYBRID VALUE OF THETAU, ASSUMING THAT THE LATENT HEAT OF
! VAPORIZATION/SUBLIMATION CAN BE ESTIMATED USING THE SAME WEIGHTING
! FUNCTION AS THAT USED TO CALCULATE SATURATION VAPOR PRESSURE, CALCU-
! LATE NEW LIQUID WATER AND ICE CONCENTRATIONS...
!
20 RLC=XLV0-XLV1*TU
RLS=XLS0-XLS1*TU
RL=RATIO2*RLS+(1.-RATIO2)*RLC
PI=(1.E5/P)**(0.2854*(1.-0.28*QVAP))
THTEU=TU*PI*EXP(RL*QVAP*C5/TU*(1.+0.81*QVAP))
IF(IFLAG.EQ.1)THEN
QICE=QICE+FRC1*DQVAP+QLIQ
QLIQ=0.
ELSE
QICE=QICE+FRC1*(DQVAP+QLQFRZ)
QLIQ=QLIQ-FRC1*QLQFRZ
ENDIF
QNWFRZ=0.
END SUBROUTINE DTFRZNEW
!-----------------------------------------------------------------------
!CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
! THIS SUBROUTINE INTEGRATES THE AREA UNDER THE CURVE IN THE GAUSSIAN
! DISTRIBUTION...THE NUMERICAL APPROXIMATION TO THE INTEGRAL IS TAKEN F
! HANDBOOK OF MATHEMATICAL FUNCTIONS WITH FORMULAS, GRAPHS AND MATHEMA
! TABLES ED. BY ABRAMOWITZ AND STEGUN, NAT L BUREAU OF STANDARDS APPLI
! MATHEMATICS SERIES. JUNE, 1964., MAY, 1968.
! JACK KAIN
! 7/6/89
!CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
!***********************************************************************
!***** GAUSSIAN TYPE MIXING PROFILE....******************************
SUBROUTINE PROF5(EQ,EE,UD) 1
!-----------------------------------------------------------------------
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 TPMIX(P,THTU,TU,QU,QLIQ,QICE,QNEWLQ,QNEWIC,RATIO2,RL, & 3
XLV0,XLV1,XLS0,XLS1, &
EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,BICE,CICE,DICE )
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
REAL, INTENT(IN ) :: XLV0,XLV1
REAL, INTENT(IN ) :: P,THTU,RATIO2,RL,XLS0, &
XLS1,EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,BICE,&
CICE,DICE
REAL, INTENT(INOUT) :: QU,QLIQ,QICE,TU,QNEWLQ,QNEWIC
REAL :: ES,QS,PI,THTGS,F0,T1,T0,C5,RV,ESLIQ,ESICE,F1,DT,QNEW, &
DQ, QTOT,DQICE,DQLIQ,RLL,CCP
INTEGER :: ITCNT
!-----------------------------------------------------------------------
!
!...THIS SUBROUTINE ITERATIVELY EXTRACTS WET-BULB TEMPERATURE FROM EQUIV
! POTENTIAL TEMPERATURE, THEN CHECKS TO SEE IF SUFFICIENT MOISTURE IS
! AVAILABLE TO ACHIEVE SATURATION...IF NOT, TEMPERATURE IS ADJUSTED
! ACCORDINGLY, IF SO, THE RESIDUAL LIQUID WATER/ICE CONCENTRATION IS
! DETERMINED...
!
C5=1.0723E-3
RV=461.5
!
! ITERATE TO FIND WET BULB TEMPERATURE AS A FUNCTION OF EQUIVALENT POT
! TEMP AND PRS, ASSUMING SATURATION VAPOR PRESSURE...RATIO2 IS THE DEG
! OF GLACIATION...
!
IF(RATIO2.LT.1.E-6)THEN
ES=ALIQ*EXP((BLIQ*TU-CLIQ)/(TU-DLIQ))
QS=EP2*ES/(P-ES)
PI=(1.E5/P)**(0.2854*(1.-0.28*QS))
THTGS=TU*PI*EXP((3374.6525/TU-2.5403)*QS*(1.+0.81*QS))
ELSEIF(ABS(RATIO2-1.).LT.1.E-6)THEN
ES=AICE*EXP((BICE*TU-CICE)/(TU-DICE))
QS=EP2*ES/(P-ES)
PI=(1.E5/P)**(0.2854*(1.-0.28*QS))
THTGS=TU*PI*EXP((3114.834/TU-0.278296)*QS*(1.+0.81*QS))
ELSE
ESLIQ=ALIQ*EXP((BLIQ*TU-CLIQ)/(TU-DLIQ))
ESICE=AICE*EXP((BICE*TU-CICE)/(TU-DICE))
ES=(1.-RATIO2)*ESLIQ+RATIO2*ESICE
QS=EP2*ES/(P-ES)
PI=(1.E5/P)**(0.2854*(1.-0.28*QS))
THTGS=TU*PI*EXP(RL*QS*C5/TU*(1.+0.81*QS))
ENDIF
F0=THTGS-THTU
T1=TU-0.5*F0
T0=TU
ITCNT=0
90 IF(RATIO2.LT.1.E-6)THEN
ES=ALIQ*EXP((BLIQ*T1-CLIQ)/(T1-DLIQ))
QS=EP2*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))
ELSEIF(ABS(RATIO2-1.).LT.1.E-6)THEN
ES=AICE*EXP((BICE*T1-CICE)/(T1-DICE))
QS=EP2*ES/(P-ES)
PI=(1.E5/P)**(0.2854*(1.-0.28*QS))
THTGS=T1*PI*EXP((3114.834/T1-0.278296)*QS*(1.+0.81*QS))
ELSE
ESLIQ=ALIQ*EXP((BLIQ*T1-CLIQ)/(T1-DLIQ))
ESICE=AICE*EXP((BICE*T1-CICE)/(T1-DICE))
ES=(1.-RATIO2)*ESLIQ+RATIO2*ESICE
QS=EP2*ES/(P-ES)
PI=(1.E5/P)**(0.2854*(1.-0.28*QS))
THTGS=T1*PI*EXP(RL*QS*C5/T1*(1.+0.81*QS))
ENDIF
F1=THTGS-THTU
IF(ABS(F1).LT.0.01)GOTO 50
ITCNT=ITCNT+1
IF(ITCNT.GT.10)GOTO 50
DT=F1*(T1-T0)/(F1-F0)
T0=T1
F0=F1
T1=T1-DT
GOTO 90
!
! IF THE PARCEL IS SUPERSATURATED, CALCULATE CONCENTRATION OF FRESH
! CONDENSATE...
!
50 IF(QS.LE.QU)THEN
QNEW=QU-QS
QU=QS
GOTO 96
ENDIF
!
! IF THE PARCEL IS SUBSATURATED, TEMPERATURE AND MIXING RATIO MUST BE
! ADJUSTED...IF LIQUID WATER OR ICE IS PRESENT, IT IS ALLOWED TO EVAPO
! SUBLIMATE.
!
QNEW=0.
DQ=QS-QU
QTOT=QLIQ+QICE
!
! IF THERE IS ENOUGH LIQUID OR ICE TO SATURATE THE PARCEL, TEMP STAYS
! WET BULB VALUE, VAPOR MIXING RATIO IS AT SATURATED LEVEL, AND THE MI
! RATIOS OF LIQUID AND ICE ARE ADJUSTED TO MAKE UP THE ORIGINAL SATURA
! DEFICIT... OTHERWISE, ANY AVAILABLE LIQ OR ICE VAPORIZES AND APPROPR
! ADJUSTMENTS TO PARCEL TEMP; VAPOR, LIQUID, AND ICE MIXING RATIOS ARE
!
!...NOTE THAT THE LIQ AND ICE MAY BE PRESENT IN PROPORTIONS SLIGHTLY DIF
! THAN SUGGESTED BY THE VALUE OF RATIO2...CHECK TO MAKE SURE THAT LIQ
! ICE CONCENTRATIONS ARE NOT REDUCED TO BELOW ZERO WHEN EVAPORATION/
! SUBLIMATION OCCURS...
!
IF(QTOT.GE.DQ)THEN
DQICE=0.0
DQLIQ=0.0
QLIQ=QLIQ-(1.-RATIO2)*DQ
IF(QLIQ.LT.0.)THEN
DQICE=0.0-QLIQ
QLIQ=0.0
ENDIF
QICE=QICE-RATIO2*DQ+DQICE
IF(QICE.LT.0.)THEN
DQLIQ=0.0-QICE
QICE=0.0
ENDIF
QLIQ=QLIQ+DQLIQ
QU=QS
GOTO 96
ELSE
IF(RATIO2.LT.1.E-6)THEN
RLL=XLV0-XLV1*T1
ELSEIF(ABS(RATIO2-1.).LT.1.E-6)THEN
RLL=XLS0-XLS1*T1
ELSE
RLL=RL
ENDIF
CCP=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:
T1=T1+RLL*(DQ/(1.+DQ))/CCP
GOTO 96
ELSE
!
!...IF SOME LIQ WATER/ICE IS AVAILABLE, BUT NOT ENOUGH TO ACHIEVE SATURA
! THE TEMPERATURE IS GIVEN BY:
T1=T1+RLL*((DQ-QTOT)/(1+DQ-QTOT))/CCP
QU=QU+QTOT
QTOT=0.
ENDIF
QLIQ=0
QICE=0.
ENDIF
96 TU=T1
QNEWLQ=(1.-RATIO2)*QNEW
QNEWIC=RATIO2*QNEW
IF(ITCNT.GT.10)PRINT*,'***** NUMBER OF ITERATIONS IN TPMIX =', &
ITCNT
END SUBROUTINE TPMIX
!-----------------------------------------------------------------------
SUBROUTINE ENVIRTHT(P1,T1,Q1,THT1,R1,RL, & 4
EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,BICE,CICE,DICE )
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
REAL, INTENT(IN ) :: P1,T1,Q1,R1,RL,EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,&
BICE,CICE,DICE
REAL, INTENT(INOUT) :: THT1
REAL:: T00,P00,C1,C2,C3,C4,C5,EE,TLOG,TDPT,TSAT,THT,TFPT,TLOGIC, &
TSATLQ,TSATIC
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...
!
IF(R1.LT.1.E-6)THEN
EE=Q1*P1/(EP2+Q1)
TLOG=ALOG(EE/ALIQ)
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))
ELSEIF(ABS(R1-1.).LT.1.E-6)THEN
EE=Q1*P1/(EP2+Q1)
TLOG=ALOG(EE/AICE)
TFPT=(CICE-DICE*TLOG)/(BICE-TLOG)
THT=T1*(P00/P1)**(0.2854*(1.-0.28*Q1))
TSAT=TFPT-(.182+1.13E-3*(TFPT-T00)-3.58E-4*(T1-T00))*(T1-TFPT)
THT1=THT*EXP((C3/TSAT-C4)*Q1*(1.+0.81*Q1))
ELSE
EE=Q1*P1/(EP2+Q1)
TLOG=ALOG(EE/ALIQ)
TDPT=(CLIQ-DLIQ*TLOG)/(BLIQ-TLOG)
TLOGIC=ALOG(EE/AICE)
TFPT=(CICE-DICE*TLOGIC)/(BICE-TLOGIC)
THT=T1*(P00/P1)**(0.2854*(1.-0.28*Q1))
TSATLQ=TDPT-(.212+1.571E-3*(TDPT-T00)-4.36E-4*(T1-T00))*(T1-TDPT)
TSATIC=TFPT-(.182+1.13E-3*(TFPT-T00)-3.58E-4*(T1-T00))*(T1-TFPT)
TSAT=R1*TSATIC+(1.-R1)*TSATLQ
THT1=THT*EXP(RL*Q1*C5/TSAT*(1.+0.81*Q1))
ENDIF
END SUBROUTINE ENVIRTHT
!-----------------------------------------------------------------------
!************************* TPDD.FOR ************************************
! THIS SUBROUTINE ITERATIVELY EXTRACTS TEMPERATURE FROM EQUIVALENT *
! POTENTIAL TEMP. IT IS DESIGNED FOR USE WITH DOWNDRAFT CALCULATIONS.
! IF RELATIVE HUMIDITY IS SPECIFIED TO BE LESS THAN 100%, PARCEL *
! TEMP, SPECIFIC HUMIDITY, AND LIQUID WATER CONTENT ARE ITERATIVELY *
! CALCULATED. *
!***********************************************************************
FUNCTION TPDD(P,THTED,TGS,RS,RD,RH,XLV0,XLV1, &
EP2,ALIQ,BLIQ,CLIQ,DLIQ,AICE,BICE,CICE,DICE )
!-----------------------------------------------------------------------
IMPLICIT NONE
!-----------------------------------------------------------------------
REAL, INTENT(IN ) :: XLV0,XLV1
REAL, INTENT(IN ) :: P,THTED,TGS,RD,RH,EP2,ALIQ,BLIQ, &
CLIQ,DLIQ,AICE,BICE,CICE,DICE
REAL, INTENT(INOUT) :: RS
REAL :: TPDD,ES,PI,THTGS,F0,T1,T0,CCP,F1,DT,RL,DSSDT,T1RH,RSRH
INTEGER :: ITCNT
!-----------------------------------------------------------------------
ES=ALIQ*EXP((BLIQ*TGS-CLIQ)/(TGS-DLIQ))
RS=EP2*ES/(P-ES)
PI=(1.E5/P)**(0.2854*(1.-0.28*RS))
THTGS=TGS*PI*EXP((3374.6525/TGS-2.5403)*RS*(1.+0.81*RS))
F0=THTGS-THTED
T1=TGS-0.5*F0
T0=TGS
CCP=1005.7
!
!...ITERATE TO FIND WET-BULB TEMPERATURE...
!
ITCNT=0
90 ES=ALIQ*EXP((BLIQ*T1-CLIQ)/(T1-DLIQ))
RS=EP2*ES/(P-ES)
PI=(1.E5/P)**(0.2854*(1.-0.28*RS))
THTGS=T1*PI*EXP((3374.6525/T1-2.5403)*RS*(1.+0.81*RS))
F1=THTGS-THTED
IF(ABS(F1).LT.0.05)GOTO 50
ITCNT=ITCNT+1
IF(ITCNT.GT.10)GOTO 50
DT=F1*(T1-T0)/(F1-F0)
T0=T1
F0=F1
T1=T1-DT
GOTO 90
50 RL=XLV0-XLV1*T1
!
!...IF RELATIVE HUMIDITY IS SPECIFIED TO BE LESS THAN 100%, ESTIMATE THE
! TEMPERATURE AND MIXING RATIO WHICH WILL YIELD THE APPROPRIATE VALUE.
!
IF(RH.EQ.1.)GOTO 110
DSSDT=(CLIQ-BLIQ*DLIQ)/((T1-DLIQ)*(T1-DLIQ))
DT=RL*RS*(1.-RH)/(CCP+RL*RH*RS*DSSDT)
T1RH=T1+DT
ES=RH*ALIQ*EXP((BLIQ*T1RH-CLIQ)/(T1RH-DLIQ))
RSRH=EP2*ES/(P-ES)
!
!...CHECK TO SEE IF MIXING RATIO AT SPECIFIED RH IS LESS THAN ACTUAL
!...MIXING RATIO...IF SO, ADJUST TO GIVE ZERO EVAPORATION...
!
IF(RSRH.LT.RD)THEN
RSRH=RD
T1RH=T1+(RS-RSRH)*RL/CCP
ENDIF
T1=T1RH
RS=RSRH
110 TPDD=T1
IF(ITCNT.GT.10)PRINT*,'***** NUMBER OF ITERATIONS IN TPDD = ', &
ITCNT
END FUNCTION TPDD
!====================================================================
SUBROUTINE kfinit(RTHCUTEN,RQVCUTEN,RQCCUTEN,RQRCUTEN, & 1
RQICUTEN,RQSCUTEN,NCA,W0AVG,P_QI,P_QS, &
P_FIRST_SCALAR,restart,allowed_to_read, &
ids, ide, jds, jde, kds, kde, &
ims, ime, jms, jme, kms, kme, &
its, ite, jts, jte, kts, kte )
!--------------------------------------------------------------------
IMPLICIT NONE
!--------------------------------------------------------------------
LOGICAL , INTENT(IN) :: restart, allowed_to_read
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
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
END SUBROUTINE kfinit
!-------------------------------------------------------
END MODULE module_cu_kf