MODULE module_cu_kfeta USE module_wrf_error !-------------------------------------------------------------------- ! Lookup table variables: INTEGER, PARAMETER :: KFNT=250,KFNP=220 REAL, DIMENSION(KFNT,KFNP),PRIVATE, SAVE :: TTAB,QSTAB REAL, DIMENSION(KFNP),PRIVATE, SAVE :: THE0K REAL, DIMENSION(200),PRIVATE, SAVE :: ALU REAL, PRIVATE, SAVE :: 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_CPS( & ids,ide, jds,jde, kds,kde & ,ims,ime, jms,jme, kms,kme & ,its,ite, jts,jte, kts,kte & ,DT,KTAU,DX,CUDT,CURR_SECS,ADAPT_STEP_FLAG & ,rho,RAINCV,PRATEC,NCA & ,U,V,TH,T,W,dz8w,Pcps,pi & ,W0AVG,XLV0,XLV1,XLS0,XLS1,CP,R,G,EP1 & ,EP2,SVP1,SVP2,SVP3,SVPT0 & ,STEPCU,CU_ACT_FLAG,warm_rain,CUTOP,CUBOT & ,QV & ! optionals ,F_QV ,F_QC ,F_QR ,F_QI ,F_QS & ,RTHCUTEN,RQVCUTEN,RQCCUTEN,RQRCUTEN & ,RQICUTEN,RQSCUTEN & ) ! !------------------------------------------------------------- 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, & T, & QV, & dz8w, & Pcps, & rho, & pi ! REAL, DIMENSION( ims:ime , kms:kme , jms:jme ) , & INTENT(INOUT) :: & W0AVG REAL, INTENT(IN ) :: DT, DX REAL, INTENT(IN ) :: CUDT REAL, INTENT(IN ) :: CURR_SECS LOGICAL,INTENT(IN ) :: ADAPT_STEP_FLAG ! REAL, DIMENSION( ims:ime , jms:jme ), & INTENT(INOUT) :: RAINCV REAL, DIMENSION( ims:ime , jms:jme ), & INTENT(INOUT) :: PRATEC REAL, DIMENSION( ims:ime , jms:jme ), & INTENT(INOUT) :: NCA REAL, DIMENSION( ims:ime , jms:jme ), & INTENT(OUT) :: CUBOT, & CUTOP 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 LOGICAL :: flag_qr, flag_qi, flag_qs 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 REAL :: lastdt = -1.0 REAL :: W0AVGfctr, W0fctr, W0den LOGICAL :: run_param ! DXSQ=DX*DX !---------------------- NTST=STEPCU TST=float(NTST*2) flag_qr = .FALSE. flag_qi = .FALSE. flag_qs = .FALSE. IF ( PRESENT(F_QR) ) flag_qr = F_QR IF ( PRESENT(F_QI) ) flag_qi = F_QI IF ( PRESENT(F_QS) ) flag_qs = F_QS ! 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 ! !...CHECK FOR CONVECTIVE INITIATION EVERY 5 MINUTES (OR NTST/2)... ! !---------------------- ! ! Modified for adaptive time step ! if (ADAPT_STEP_FLAG) then if ( (KTAU .eq. 1) .or. (cudt .eq. 0) .or. & ( CURR_SECS + dt >= & ( int( CURR_SECS / ( cudt * 60 ) ) + 1 ) * cudt * 60 ) ) then run_param = .TRUE. else run_param = .FALSE. endif else if (MOD(KTAU,NTST) .EQ. 0 .or. KTAU .eq. 1) then run_param = .TRUE. else run_param = .FALSE. endif endif if (run_param) then ! 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 ( NCA(I,J) .ge. 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. CUTOP(I,J)=KTS CUBOT(I,J)=KTE+1 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 KF_eta_PARA(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, & flag_QI,flag_QS,warm_rain, & CUTOP,CUBOT,CUDT, & 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)) 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 )) THEN IF ( F_QI ) THEN DO K=kts,kte RQICUTEN(I,K,J)=DQIDT(K) ENDDO ENDIF ENDIF IF(PRESENT( rqscuten )) THEN IF ( F_QS ) THEN DO K=kts,kte RQSCUTEN(I,K,J)=DQSDT(K) ENDDO ENDIF ENDIF ! ENDIF ENDDO ! i-loop ENDDO ! j-loop ENDIF ! run_param ! END SUBROUTINE KF_eta_CPS ! **************************************************************************** !----------------------------------------------------------- SUBROUTINE KF_eta_PARA (I, J, & 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,PRATEC,NCA, & F_QI,F_QS,warm_rain, & CUTOP,CUBOT,CUDT, & 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 ! ,P_QI,P_QS,P_FIRST_SCALAR LOGICAL, INTENT(IN ) :: F_QI, F_QS 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 ) :: 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 REAL, DIMENSION( ims:ime , jms:jme ), & INTENT(INOUT) :: PRATEC REAL, DIMENSION( ims:ime , jms:jme ), & INTENT(OUT) :: CUBOT, & CUTOP REAL, INTENT(IN ) :: CUDT ! !...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 :: TVDIFF,DTTOT,ABSOMG,ABSOMGTC,FRDP 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 CHARACTER*1024 message ! 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 !...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.0.5*P0(1))L5=K IF(P0(K).GE.P300)LLFC=K ENDDO ! !...DZQ IS DZ BETWEEN SIGMA SURFACES, DZA IS DZ BETWEEN MODEL HALF LEVEL Z0(1)=.5*DZQ(1) !cdir novector 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 IF ( NK+1 .LT. KTS ) THEN WRITE(message,*)'WOULD GO OFF BOTTOM: KF_ETA_PARA I,J,NK',I,J,NK CALL wrf_message (TRIM(message)) ELSE DO NK=NK+1 IF ( NK .GT. KTE ) THEN WRITE(message,*)'WOULD GO OFF TOP: KF_ETA_PARA I,J,DPTHMX,DPMIN',I,J,DPTHMX,DPMIN CALL wrf_message (TRIM(message)) EXIT ENDIF DPTHMX=DPTHMX+DP(NK) NLAYRS=NLAYRS+1 IF(DPTHMX.GT.DPMIN)THEN EXIT ENDIF END DO ENDIF 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... ! !cdir novector 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 IF(WKL.LT.0.0001)THEN DTLCL=0. ELSE DTLCL=4.64*WKL**0.33 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. !!!!!!!! ! 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 ! 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 ! DTTOT = DTLCL+DTRH IF(DTTOT.GT.1.E-4)THEN GDT=2.*G*DTTOT*500./TVEN WLCL=1.+0.5*SQRT(GDT) WLCL = AMIN1(WLCL,3.) ELSE WLCL=1. ENDIF 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=0.01*DXSQ 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 DZZ=Z0(NK1)-ZLCL ELSE BE=(TVU(NK)+TVU(NK1))/(TV0(NK)+TV0(NK1))-1. BOTERM=2.*DZA(NK)*G*BE/1.5 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) ! !...IF VERT VELOCITY IS LESS THAN ZERO, EXIT THE UPDRAFT LOOP AND, !...IF CLOUD IS TALL ENOUGH, FINALIZE UPDRAFT CALCULATIONS... ! IF(WTW.LT.1.E-3)THEN EXIT ELSE WU(NK1)=SQRT(WTW) 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) TVDIFF = ABS(TU10-TVQU(NK1)) IF(TVDIFF.LT.1.e-3)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,LTOP IF(T0(NK).GT.T00)ML=NK ENDDO 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 KLFS = LET-1 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,i,j) 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 !...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,i,j) ! 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,i,j) 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 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.1.e-3)THEN AINCM1=EMS(NK)/((UER(NK)-DER(NK))*TIMEC) AINCMX=AMIN1(AINCMX,AINCM1) ENDIF 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) ABSOMG = ABS(OMG(NK)) ABSOMGTC = ABSOMG*TIMEC FRDP = 0.75*DP(NK-1) IF(ABSOMGTC.GT.FRDP)THEN DTT1 = FRDP/ABSOMG DTT=AMIN1(DTT,DTT1) ENDIF 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 CALL wrf_error_fatal ( 'QG, QG(NK).LT.0') ! 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),i,j) ! 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 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 IF(ABS(AINC-AINCOLD).LT.0.0001)THEN NOITR=1 AINC=AINCOLD CYCLE iter ENDIF 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 IF(DABE.LT.1.e-4)THEN NOITR=1 AINC=AINCOLD CYCLE iter ELSE AINC=AINC*STAB*ABE/DABE ENDIF 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 ! ! 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),tke(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 CALL wrf_error_fatal ( 'KAIN-FRITSCH, istop=1, diags' ) ENDIF ! ENDIF 4455 format(8f11.3) ENDIF CNDTNF=(1.-EQFRC(LFS))*(QLIQ(LFS)+QICE(LFS))*DMF(LFS) PRATEC(I,J)=PPTFLX*(1.-FBFRC)/DXSQ RAINCV(I,J)=DT*PRATEC(I,J) ! 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) IF(PPTFLX.GT.0.)THEN RELERR=ERR2*QINIT/(PPTFLX*TIMEC) ELSE RELERR=0. ENDIF 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) = TADVEC IF(ISHALL.EQ.1)THEN TIMEC = 2400. NCA(I,J) = CUDT*60. 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(.NOT. F_QI .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(.NOT. F_QI .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(F_QI) 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 (F_QS) 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!' CALL wrf_error_fatal ( 'KAIN-FRITSCH, THIS COMBINATION OF IMOIST, IEXICE, IICE NOT ALLOWED' ) ENDIF DTDT(K)=(TG(K)-T0(K))/TIMEC DQDT(K)=(QG(K)-Q0(K))/TIMEC ENDDO PRATEC(I,J)=PPTFLX*(1.-FBFRC)/DXSQ RAINCV(I,J)=DT*PRATEC(I,J) ! 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,'%') ! !----------------------------------------------------------------------- !--------------SAVE CLOUD TOP AND BOTTOM FOR RADIATION------------------ !----------------------------------------------------------------------- ! CUTOP(I,J)=REAL(LTOP) CUBOT(I,J)=REAL(LCL) ! !----------------------------------------------------------------------- END SUBROUTINE KF_eta_PARA !******************************************************************** ! *********************************************************************** SUBROUTINE TPMIX2(p,thes,tu,qu,qliq,qice,qnewlq,qnewic,XLV1,XLV0) ! ! 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 IF(IPTB.GE.220 .OR. IPTB.LE.1 .OR. ITHTB.GE.250 .OR. ITHTB.LE.1)THEN write(98,*)'**** OUT OF BOUNDS *********' ! call flush(98) ENDIF ! 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) ! DQ=QS-QU IF(DQ.LE.0.)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. 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+1.e-10) qice=qice-dq*qice/(qtot+1.e-10) QU=QS ELSE RLL=XLV0-XLV1*TEMP CPP=1004.5*(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) !----------------------------------------------------------------------- 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=1004.5*(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, & 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-8) ! OLDQ=QTOT QTOT=QTOT+0.6*QNEW OLDQ=QTOT RATIO4=(0.6*QNEWLQ+QLIQ)/(QTOT+1.E-8) 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-4)WTW=1.E-4 ! ! 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) ! !*********************************************************************** !***** 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,i,j) ! ! 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 INTEGER, INTENT(IN ) :: i,j ! avail for debugging REAL :: TP,QQ,BTH,TTH,PP,T00,T10,T01,T11,Q00,Q10,Q01,Q11 INTEGER :: IPTB,ITHTB CHARACTER*256 :: MESS !----------------------------------------------------------------------- ! !******** 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) ! !----------------------------------------------------------------------- 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,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 REAL, INTENT(IN) :: 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 REAL :: ALIQ,BLIQ,CLIQ,DLIQ REAL, INTENT(IN) :: 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=5000.0 ! 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