MODULE MODULE_BL_MYJPBL USE MODULE_MODEL_CONSTANTS INTEGER :: ITRMX=5 REAL,PARAMETER :: PI=3.1415926,VKARMAN=0.4 REAL,PARAMETER :: CAPA=R_D/CP REAL,PARAMETER :: RLIVWV=XLS/XLV,ELOCP=2.72E6/CP REAL,PARAMETER :: EPS1=1.E-12,EPS2=0. REAL,PARAMETER :: EPSL=0.32,EPSRU=1.E-7,EPSRS=1.E-7 & & ,EPSTRB=1.E-24 REAL,PARAMETER :: EPSA=1.E-8,EPSIT=1.E-4,EPSU2=1.E-4,EPSUST=0.07 & & ,FH=1.01 REAL,PARAMETER :: ALPH=0.30,BETA=1./273.,EL0MAX=1000.,EL0MIN=1. & & ,ELFC=0.23*0.5,GAM1=0.2222222222222222222 & & ,PRT=1. REAL,PARAMETER :: A1=0.659888514560862645 & & ,A2x=0.6574209922667784586 & & ,B1=11.87799326209552761 & & ,B2=7.226971804046074028 & & ,C1=0.000830955950095854396 REAL,PARAMETER :: A2S=17.2693882,A3S=273.16,A4S=35.86 REAL,PARAMETER :: ELZ0=0.,ESQ=5.0,EXCM=0.001 & & ,FHNEU=0.8,GLKBR=10.,GLKBS=30. & & ,QVISC=2.1E-5,RFC=0.191,RIC=0.505,SMALL=0.35 & & ,SQPR=0.84,SQSC=0.84,SQVISC=258.2,TVISC=2.1E-5 & & ,USTC=0.7,USTR=0.225,VISC=1.5E-5 & & ,WOLD=0.15,WWST=1.2,ZTMAX=1.,ZTFC=1.,ZTMIN=-5. REAL,PARAMETER :: SEAFC=0.98,PQ0SEA=PQ0*SEAFC REAL,PARAMETER :: BTG=BETA*G,CZIV=SMALL*GLKBS & & ,ESQHF=0.5*5.0,GRRS=GLKBR/GLKBS & & ,RB1=1./B1,RTVISC=1./TVISC,RVISC=1./VISC & & ,ZQRZT=SQSC/SQPR REAL,PARAMETER :: ADNH= 9.*A1*A2x*A2x*(12.*A1+3.*B2)*BTG*BTG & & ,ADNM=18.*A1*A1*A2x*(B2-3.*A2x)*BTG & & ,ANMH=-9.*A1*A2x*A2x*BTG*BTG & & ,ANMM=-3.*A1*A2x*(3.*A2x+3.*B2*C1+18.*A1*C1-B2) & & *BTG & & ,BDNH= 3.*A2x*(7.*A1+B2)*BTG & & ,BDNM= 6.*A1*A1 & & ,BEQH= A2x*B1*BTG+3.*A2x*(7.*A1+B2)*BTG & & ,BEQM=-A1*B1*(1.-3.*C1)+6.*A1*A1 & & ,BNMH=-A2x*BTG & & ,BNMM=A1*(1.-3.*C1) & & ,BSHH=9.*A1*A2x*A2x*BTG & & ,BSHM=18.*A1*A1*A2x*C1 & & ,BSMH=-3.*A1*A2x*(3.*A2x+3.*B2*C1+12.*A1*C1-B2) & & *BTG & & ,CESH=A2x & & ,CESM=A1*(1.-3.*C1) & & ,CNV=EP_1*G/BTG & & ,ELFCS=VKARMAN*BTG & & ,FZQ1=RTVISC*QVISC*ZQRZT & & ,FZQ2=RTVISC*QVISC*ZQRZT & & ,FZT1=RVISC *TVISC*SQPR & & ,FZT2=CZIV*GRRS*TVISC*SQPR & & ,FZU1=CZIV*VISC & & ,PIHF=0.5*PI & & ,RFAC=RIC/(FHNEU*RFC*RFC) & & ,RQVISC=1./QVISC & & ,RRIC=1./RIC & & ,USTFC=0.018/G & & ,WNEW=1.-WOLD & & ,WWST2=WWST*WWST REAL,PARAMETER :: AEQH=9.*A1*A2x*A2x*B1*BTG*BTG & & +9.*A1*A2x*A2x*(12.*A1+3.*B2)*BTG*BTG & & ,AEQM=3.*A1*A2x*B1*(3.*A2x+3.*B2*C1+18.*A1*C1-B2)& & *BTG+18.*A1*A1*A2x*(B2-3.*A2x)*BTG REAL,PARAMETER :: REQU=-AEQH/AEQM & & ,EPSGH=1.E-9,EPSGM=REQU*EPSGH REAL,PARAMETER :: UBRYL=(18.*REQU*A1*A1*A2x*B2*C1*BTG & & +9.*A1*A2x*A2x*B2*BTG*BTG) & & /(REQU*ADNM+ADNH) & & ,UBRY=(1.+EPSRS)*UBRYL,UBRY3=3.*UBRY REAL,PARAMETER :: AUBH=27.*A1*A2x*A2x*B2*BTG*BTG-ADNH*UBRY3 & & ,AUBM=54.*A1*A1*A2x*B2*C1*BTG -ADNM*UBRY3 & & ,BUBH=(9.*A1*A2x+3.*A2x*B2)*BTG-BDNH*UBRY3 & & ,BUBM=18.*A1*A1*C1 -BDNM*UBRY3 & & ,CUBR=1. - UBRY3 & & ,RCUBR=1./CUBR CONTAINS SUBROUTINE MYJPBL(DT,STEPBL,HT,DZ & & ,PMID,PINT,TH,T,EXNER,QV,QCW,QCI,QCS,QCR,QCG & & ,U,V,RHO,TSK,QSFC,CHKLOWQ,THZ0,QZ0,UZ0,VZ0 & & ,LOWLYR,XLAND,SICE,SNOW & & ,TKE_MYJ,EXCH_H,USTAR,ZNT,EL_MYJ,PBLH,KPBL,CT & & ,AKHS,AKMS,ELFLX,MIXHT & & ,RUBLTEN,RVBLTEN,RTHBLTEN,RQVBLTEN,RQCBLTEN & & ,RQIBLTEN,RQSBLTEN,RQRBLTEN,RQGBLTEN & & ,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 INTEGER,INTENT(IN) :: STEPBL INTEGER,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: LOWLYR INTEGER,DIMENSION(IMS:IME,JMS:JME),INTENT(OUT) :: KPBL REAL,INTENT(IN) :: DT REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: HT,SICE,SNOW & & ,TSK,XLAND REAL,DIMENSION(IMS:IME,KMS:KME,JMS:JME),INTENT(IN) :: DZ,EXNER & & ,PMID,PINT & & ,RHO & & ,T,TH,U,V REAL,OPTIONAL,INTENT(IN),DIMENSION(IMS:IME,KMS:KME,JMS:JME):: & QV,QCW,QCI,QCS,QCR,QCG REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(OUT) :: PBLH,MIXHT REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: AKHS,AKMS REAL, INTENT(OUT), DIMENSION(IMS:IME,KMS:KME,JMS:JME) :: & & EL_MYJ,RTHBLTEN & & ,RUBLTEN,RVBLTEN REAL,OPTIONAL,INTENT(OUT),DIMENSION(IMS:IME,KMS:KME,JMS:JME):: & & RQCBLTEN,RQVBLTEN & & ,RQIBLTEN,RQSBLTEN & & ,RQRBLTEN,RQGBLTEN REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: CT,QSFC,QZ0 & & ,THZ0,USTAR & & ,UZ0,VZ0,ZNT REAL,DIMENSION(IMS:IME,KMS:KME,JMS:JME) & & ,INTENT(INOUT) :: EXCH_H,TKE_MYJ REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: CHKLOWQ,ELFLX INTEGER, PARAMETER :: NSPECS=1, NSPECE=7 LOGICAL :: flQI,flQS,flQR,flQG INTEGER :: I,J,K,KFLIP,LLOW,LMH,LMXL, NUMS,NSPEC,NSP INTEGER,DIMENSION(ITS:ITE,JTS:JTE) :: LPBL REAL :: AKHS_DENS,AKMS_DENS,APEX,DELTAZ,DQDT,DTDIF,DTDT & & ,DTTURBL,DUDT,DVDT,EXNSFC,PSFC,PTOP,QFC1,QLOW,QOLD & & ,RATIOMX,RDTTURBL,RG,RWMSK,SEAMASK,THNEW,THOLD,TX & & ,ULOW,VLOW,WMSK REAL, DIMENSION(NSPECS:NSPECE) :: CLOW,CTS,SZ0 REAL,DIMENSION(KTS:KTE) :: CWMK,PK,Q2K,QK,THEK,TK,UK,VK & & ,QCWK,QCIK,QCSK,QCRK,QCGK REAL, DIMENSION(NSPECS:NSPECE,KTS:KTE) :: SPECIES REAL,DIMENSION(KTS:KTE-1) :: AKHK,AKMK,EL,GH,GM REAL,DIMENSION(KTS:KTE+1) :: ZHK REAL,DIMENSION(ITS:ITE,JTS:JTE) :: THSK REAL,DIMENSION(KTS:KTE,ITS:ITE) :: RHOK REAL,DIMENSION(ITS:ITE,KTS:KTE,JTS:JTE) :: APE,THE, CWM REAL,DIMENSION(ITS:ITE,KTS:KTE-1,JTS:JTE) :: AKH,AKM REAL,DIMENSION(ITS:ITE,KTS:KTE+1,JTS:JTE) :: ZINT REAL :: ZSL_DIAG INTEGER :: IMD,JMD,PRINT_DIAG IMD=(IMS+IME)/2 JMD=(JMS+JME)/2 NSPEC=3 flQI=.FALSE. flQS=.FALSE. flQR=.FALSE. flQG=.FALSE. IF (PRESENT(QCI)) THEN flQI=.TRUE. NSPEC=NSPEC+1 ENDIF DTTURBL=DT*STEPBL RDTTURBL=1./DTTURBL DTDIF=DTTURBL RG=1./G DO J=JTS,JTE DO K=KTS,KTE-1 DO I=ITS,ITE AKM(I,K,J)=0. ENDDO ENDDO ENDDO DO J=JTS,JTE DO K=KTS,KTE+1 DO I=ITS,ITE ZINT(I,K,J)=0. ENDDO ENDDO ENDDO DO J=JTS,JTE DO I=ITS,ITE ZINT(I,KTE+1,J)=HT(I,J) ENDDO ENDDO DO J=JTS,JTE DO K=KTE,KTS,-1 KFLIP=KTE+1-K DO I=ITS,ITE ZINT(I,K,J)=ZINT(I,K+1,J)+DZ(I,KFLIP,J) APEX=1./EXNER(I,K,J) APE(I,K,J)=APEX TX=T(I,K,J) CWM(I,K,J)=QCW(I,K,J) IF (flQI) CWM(I,K,J)=CWM(I,K,J)+QCI(I,K,J) THE(I,K,J)=(CWM(I,K,J)*(-ELOCP/TX)+1.)*TH(I,K,J) ENDDO ENDDO ENDDO EL_MYJ(its:ite,:,jts:jte) = 0. setup_integration: DO J=JTS,JTE DO I=ITS,ITE LMH=KTE-LOWLYR(I,J)+1 PTOP=PINT(I,KTE+1,J) PSFC=PINT(I,LOWLYR(I,J),J) SEAMASK=XLAND(I,J)-1. DO K=KTE,KTS,-1 KFLIP=KTE+1-K TK(K)=T(I,KFLIP,J) THEK(K)=THE(I,KFLIP,J) RATIOMX=QV(I,KFLIP,J) QK(K)=RATIOMX/(1.+RATIOMX) CWMK(K)=CWM(I,KFLIP,J) PK(K)=PMID(I,KFLIP,J) UK(K)=U(I,KFLIP,J) VK(K)=V(I,KFLIP,J) Q2K(K)=2.*TKE_MYJ(I,KFLIP,J) ZHK(K)=ZINT(I,K,J) ENDDO ZHK(KTE+1)=HT(I,J) CALL MIXLEN(LMH,UK,VK,TK,THEK,QK,CWMK & & ,Q2K,ZHK,GM,GH,EL & & ,PBLH(I,J),LPBL(I,J),LMXL,CT(I,J),MIXHT(I,J) & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE) CALL PRODQ2(LMH,DTTURBL,USTAR(I,J),GM,GH,EL,Q2K & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE) KPBL(I,J)=KTE-LPBL(I,J)+1 CALL DIFCOF(LMH,LMXL,GM,GH,EL,TK,Q2K,ZHK,AKMK,AKHK & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE,PRINT_DIAG) DO K=KTS,KTE-1 KFLIP=KTE-K AKH(I,K,J)=AKHK(K) AKM(I,K,J)=AKMK(K) DELTAZ=0.5*(ZHK(KFLIP)-ZHK(KFLIP+2)) EXCH_H(I,K,J)=AKHK(KFLIP)*DELTAZ ENDDO CALL VDIFQ(LMH,DTDIF,Q2K,EL,ZHK & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE) DO K=KTS,KTE KFLIP=KTE+1-K Q2K(KFLIP)=AMAX1(Q2K(KFLIP),EPSQ2) TKE_MYJ(I,K,J)=0.5*Q2K(KFLIP) IF(KFLIP0..OR.SICE(I,J)>0.5)THEN QFC1=QFC1*RLIVWV ENDIF IF(QFC1>0.)THEN QLOW=QK(KTE+1-LLOW) QSFC(I,J)=QLOW+ELFLX(I,J)/QFC1 ENDIF ELSE PSFC=PINT(I,LOWLYR(I,J),J) EXNSFC=(1.E5/PSFC)**CAPA QSFC(I,J)=PQ0SEA/PSFC & & *EXP(A2*(THSK(I,J)-A3*EXNSFC)/(THSK(I,J)-A4*EXNSFC)) ENDIF QZ0 (I,J)=(1.-SEAMASK)*QSFC(I,J)+SEAMASK*QZ0 (I,J) SZ0(1)=THZ0(I,J) SZ0(2)=QZ0 (I,J) DO NUMS=3,NSPECE SZ0(NUMS)=0. ENDDO CLOW(1)=1. CLOW(2)=CHKLOWQ(I,J) DO NUMS=3,NSPECE CLOW(NUMS)=0. ENDDO CTS(1)=CT(I,J) DO NUMS=2,NSPECE CTS(NUMS)=0. ENDDO LMH=KTE-LOWLYR(I,J)+1 CALL VDIFH(DTDIF,LMH,NSPECS,NSPECE,LPBL(I,J),SZ0 & & ,AKHS_DENS,CLOW,CTS & & ,SPECIES,NSPEC,AKHK,ZHK,RHOK(KTS,I) & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE,I,J) DO K=KTS,KTE THEK(K)=SPECIES(1,K) QK (K)=SPECIES(2,K) QCWK(K)=SPECIES(3,K) CWMK(K)=QCWK(K) NSP=3 IF (flQI) THEN NSP=NSP+1 QCIK(K)=SPECIES(NSP,K) CWMK(K)=CWMK(K)+QCIK(K) ENDIF ENDDO DO K=KTS,KTE KFLIP=KTE+1-K THOLD=TH(I,K,J) THNEW=THEK(KFLIP)+CWMK(KFLIP)*ELOCP*APE(I,K,J) DTDT=(THNEW-THOLD)*RDTTURBL QOLD=QV(I,K,J)/(1.+QV(I,K,J)) DQDT=(QK(KFLIP)-QOLD)*RDTTURBL RTHBLTEN(I,K,J)=DTDT RQVBLTEN(I,K,J)=DQDT/(1.-QK(KFLIP))**2 RQCBLTEN(I,K,J)=(QCWK(KFLIP)-QCW(I,K,J))*RDTTURBL IF (flQI) RQIBLTEN(I,K,J)=(QCIK(KFLIP)-QCI(I,K,J))*RDTTURBL ENDDO PSFC=.01*PINT(I,LOWLYR(I,J),J) ZSL_DIAG=0.5*DZ(I,1,J) ENDDO DO I=ITS,ITE DO K=KTS,KTE-1 AKMK(K)=AKM(I,K,J) AKMK(K)=AKMK(K)*(RHOK(K,I)+RHOK(K+1,I))*0.5 ENDDO LLOW=LOWLYR(I,J) AKMS_DENS=AKMS(I,J)*RHOK(KTE+1-LLOW,I) DO K=KTE,KTS,-1 KFLIP=KTE+1-K UK(K)=U(I,KFLIP,J) VK(K)=V(I,KFLIP,J) ZHK(K)=ZINT(I,K,J) ENDDO ZHK(KTE+1)=ZINT(I,KTE+1,J) CALL VDIFV(LMH,DTDIF,UZ0(I,J),VZ0(I,J) & & ,AKMS_DENS,UK,VK,AKMK,ZHK,RHOK(KTS,I) & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE,I,J) DO K=KTS,KTE KFLIP=KTE+1-K DUDT=(UK(KFLIP)-U(I,K,J))*RDTTURBL DVDT=(VK(KFLIP)-V(I,K,J))*RDTTURBL RUBLTEN(I,K,J)=DUDT RVBLTEN(I,K,J)=DVDT ENDDO ENDDO ENDDO main_integration END SUBROUTINE MYJPBL SUBROUTINE MIXLEN & &(LMH,U,V,T,THE,Q,CWM,Q2,Z,GM,GH,EL,PBLH,LPBL,LMXL,CT,MIXHT & &,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 INTEGER,INTENT(IN) :: LMH INTEGER,INTENT(OUT) :: LMXL,LPBL REAL,DIMENSION(KTS:KTE),INTENT(IN) :: CWM,Q,Q2,T,THE,U,V REAL,DIMENSION(KTS:KTE+1),INTENT(IN) :: Z REAL,INTENT(OUT) :: PBLH,MIXHT REAL,DIMENSION(KTS:KTE-1),INTENT(OUT) :: EL,GH,GM REAL,INTENT(INOUT) :: CT INTEGER :: K,LPBLM REAL :: A,ADEN,B,BDEN,AUBR,BUBR,BLMX,EL0,ELOQ2X,GHL,GML & & ,QOL2ST,QOL2UN,QDZL,RDZ,SQ,SREL,SZQ,TEM,THM,VKRMZ REAL,DIMENSION(KTS:KTE) :: Q1 REAL,DIMENSION(KTS:KTE-1) :: DTH,ELM,REL LPBL=LMH DO K=LMH-1,1,-1 IF(Q2(K)<=EPSQ2*FH)THEN LPBL=K GO TO 110 ENDIF ENDDO LPBL=1 110 PBLH=Z(LPBL+1)-Z(LMH+1) DO K=KTS,LMH Q1(K)=0. ENDDO DO K=1,LMH-1 DTH(K)=THE(K)-THE(K+1) ENDDO DO K=LMH-2,1,-1 IF(DTH(K)>0..AND.DTH(K+1)<=0.)THEN DTH(K)=DTH(K)+CT EXIT ENDIF ENDDO CT=0. DO K=KTS,LMH-1 RDZ=2./(Z(K)-Z(K+2)) GML=((U(K)-U(K+1))**2+(V(K)-V(K+1))**2)*RDZ*RDZ GM(K)=MAX(GML,EPSGM) TEM=(T(K)+T(K+1))*0.5 THM=(THE(K)+THE(K+1))*0.5 A=THM*P608 B=(ELOCP/TEM-1.-P608)*THM GHL=(DTH(K)*((Q(K)+Q(K+1)+CWM(K)+CWM(K+1))*(0.5*P608)+1.) & & +(Q(K)-Q(K+1)+CWM(K)-CWM(K+1))*A & & +(CWM(K)-CWM(K+1))*B)*RDZ IF(ABS(GHL)<=EPSGH)GHL=EPSGH GH(K)=GHL ENDDO LMXL=LMH DO K=KTS,LMH-1 GML=GM(K) GHL=GH(K) IF(GHL>=EPSGH)THEN IF(GML/GHL<=REQU)THEN ELM(K)=EPSL LMXL=K ELSE AUBR=(AUBM*GML+AUBH*GHL)*GHL BUBR= BUBM*GML+BUBH*GHL QOL2ST=(-0.5*BUBR+SQRT(BUBR*BUBR*0.25-AUBR*CUBR))*RCUBR ELOQ2X=1./QOL2ST ELM(K)=MAX(SQRT(ELOQ2X*Q2(K)),EPSL) ENDIF ELSE ADEN=(ADNM*GML+ADNH*GHL)*GHL BDEN= BDNM*GML+BDNH*GHL QOL2UN=-0.5*BDEN+SQRT(BDEN*BDEN*0.25-ADEN) ELOQ2X=1./(QOL2UN+EPSRU) ELM(K)=MAX(SQRT(ELOQ2X*Q2(K)),EPSL) ENDIF ENDDO IF(ELM(LMH-1)==EPSL)LMXL=LMH BLMX=Z(LMXL)-Z(LMH+1) MIXHT=BLMX DO K=LPBL,LMH Q1(K)=SQRT(Q2(K)) ENDDO SZQ=0. SQ =0. DO K=KTS,LMH-1 QDZL=(Q1(K)+Q1(K+1))*(Z(K+1)-Z(K+2)) SZQ=(Z(K+1)+Z(K+2)-Z(LMH+1)-Z(LMH+1))*QDZL+SZQ SQ=QDZL+SQ ENDDO EL0=MIN(ALPH*SZQ*0.5/SQ,EL0MAX) EL0=MAX(EL0 ,EL0MIN) LPBLM=MAX(LPBL-1,1) DO K=KTS,LPBLM EL(K)=MIN((Z(K)-Z(K+2))*ELFC,ELM(K)) REL(K)=EL(K)/ELM(K) ENDDO IF(LPBL=EPSGH.AND.GML/GHL<=REQU) & & .OR.(EQOL2<=EPS2))THEN Q2(K)=EPSQ2 EL(K)=EPSL ELSE ANUM=(ANMM*GML+ANMH*GHL)*GHL BNUM= BNMM*GML+BNMH*GHL ADEN=(ADNM*GML+ADNH*GHL)*GHL BDEN= BDNM*GML+BDNH*GHL CDEN= 1. ARHS=-(ANUM*BDEN-BNUM*ADEN)*2. BRHS=- ANUM*4. CRHS=- BNUM*2. DLOQ1=EL(K)/SQRT(Q2(K)) ELOQ21=1./EQOL2 ELOQ11=SQRT(ELOQ21) ELOQ31=ELOQ21*ELOQ11 ELOQ41=ELOQ21*ELOQ21 ELOQ51=ELOQ21*ELOQ31 RDEN1=1./(ADEN*ELOQ41+BDEN*ELOQ21+CDEN) RHSP1=(ARHS*ELOQ51+BRHS*ELOQ31+CRHS*ELOQ11)*RDEN1*RDEN1 ELOQ12=ELOQ11+(DLOQ1-ELOQ11)*EXP(RHSP1*DTTURBL) ELOQ12=MAX(ELOQ12,EPS1) ELOQ22=ELOQ12*ELOQ12 ELOQ32=ELOQ22*ELOQ12 ELOQ42=ELOQ22*ELOQ22 ELOQ52=ELOQ22*ELOQ32 RDEN2=1./(ADEN*ELOQ42+BDEN*ELOQ22+CDEN) RHS2 =-(ANUM*ELOQ42+BNUM*ELOQ22)*RDEN2+RB1 RHSP2= (ARHS*ELOQ52+BRHS*ELOQ32+CRHS*ELOQ12)*RDEN2*RDEN2 RHST2=RHS2/RHSP2 ELOQ13=ELOQ12-RHST2+(RHST2+DLOQ1-ELOQ12)*EXP(RHSP2*DTTURBL) ELOQ13=AMAX1(ELOQ13,EPS1) ELOQN=ELOQ13 IF(ELOQN>EPS1)THEN Q2(K)=EL(K)*EL(K)/(ELOQN*ELOQN) Q2(K)=AMAX1(Q2(K),EPSQ2) IF(Q2(K)==EPSQ2)THEN EL(K)=EPSL ENDIF ELSE Q2(K)=EPSQ2 EL(K)=EPSL ENDIF ENDIF ENDDO main_integration Q2(LMH)=AMAX1(B1**(2./3.)*USTAR*USTAR,EPSQ2) END SUBROUTINE PRODQ2 SUBROUTINE DIFCOF & &(LMH,LMXL,GM,GH,EL,T,Q2,Z,AKM,AKH & &,IDS,IDE,JDS,JDE,KDS,KDE & &,IMS,IME,JMS,JME,KMS,KME & &,ITS,ITE,JTS,JTE,KTS,KTE,PRINT_DIAG) 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) :: LMH,LMXL REAL,DIMENSION(KTS:KTE),INTENT(IN) :: Q2,T REAL,DIMENSION(KTS:KTE-1),INTENT(IN) :: EL,GH,GM REAL,DIMENSION(KTS:KTE+1),INTENT(IN) :: Z REAL,DIMENSION(KTS:KTE-1),INTENT(OUT) :: AKH,AKM INTEGER :: K,KINV REAL :: ADEN,AKMIN,BDEN,BESH,BESM,CDEN,D2T,ELL,ELOQ2,ELOQ4,ELQDZ & & ,ESH,ESM,GHL,GML,Q1L,RDEN,RDZ INTEGER,INTENT(IN) :: PRINT_DIAG DO K=1,LMH-1 ELL=EL(K) ELOQ2=ELL*ELL/Q2(K) ELOQ4=ELOQ2*ELOQ2 GML=GM(K) GHL=GH(K) ADEN=(ADNM*GML+ADNH*GHL)*GHL BDEN= BDNM*GML+BDNH*GHL CDEN= 1. BESM=BSMH*GHL BESH=BSHM*GML+BSHH*GHL RDEN=1./(ADEN*ELOQ4+BDEN*ELOQ2+CDEN) ESM=(BESM*ELOQ2+CESM)*RDEN ESH=(BESH*ELOQ2+CESH)*RDEN RDZ=2./(Z(K)-Z(K+2)) Q1L=SQRT(Q2(K)) ELQDZ=ELL*Q1L*RDZ AKM(K)=ELQDZ*ESM AKH(K)=ELQDZ*ESH ENDDO END SUBROUTINE DIFCOF SUBROUTINE VDIFQ & &(LMH,DTDIF,Q2,EL,Z & &,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 INTEGER,INTENT(IN) :: LMH REAL,INTENT(IN) :: DTDIF REAL,DIMENSION(KTS:KTE-1),INTENT(IN) :: EL REAL,DIMENSION(KTS:KTE+1),INTENT(IN) :: Z REAL,DIMENSION(KTS:KTE),INTENT(INOUT) :: Q2 INTEGER :: K REAL :: ADEN,AKQS,BDEN,BESH,BESM,CDEN,CF,DTOZS,ELL,ELOQ2,ELOQ4 & & ,ELQDZ,ESH,ESM,ESQHF,GHL,GML,Q1L,RDEN,RDZ REAL,DIMENSION(KTS:KTE-2) :: AKQ,CM,CR,DTOZ,RSQ2 ESQHF=0.5*ESQ DO K=KTS,LMH-2 DTOZ(K)=(DTDIF+DTDIF)/(Z(K)-Z(K+2)) AKQ(K)=SQRT((Q2(K)+Q2(K+1))*0.5)*(EL(K)+EL(K+1))*ESQHF & & /(Z(K+1)-Z(K+2)) CR(K)=-DTOZ(K)*AKQ(K) ENDDO CM(1)=DTOZ(1)*AKQ(1)+1. RSQ2(1)=Q2(1) DO K=KTS+1,LMH-2 CF=-DTOZ(K)*AKQ(K-1)/CM(K-1) CM(K)=-CR(K-1)*CF+(AKQ(K-1)+AKQ(K))*DTOZ(K)+1. RSQ2(K)=-RSQ2(K-1)*CF+Q2(K) ENDDO DTOZS=(DTDIF+DTDIF)/(Z(LMH-1)-Z(LMH+1)) AKQS=SQRT((Q2(LMH-1)+Q2(LMH))*0.5)*(EL(LMH-1)+ELZ0)*ESQHF & & /(Z(LMH)-Z(LMH+1)) CF=-DTOZS*AKQ(LMH-2)/CM(LMH-2) Q2(LMH-1)=(DTOZS*AKQS*Q2(LMH)-RSQ2(LMH-2)*CF+Q2(LMH-1)) & & /((AKQ(LMH-2)+AKQS)*DTOZS-CR(LMH-2)*CF+1.) DO K=LMH-2,KTS,-1 Q2(K)=(-CR(K)*Q2(K+1)+RSQ2(K))/CM(K) ENDDO END SUBROUTINE VDIFQ SUBROUTINE VDIFH(DTDIF,LMH,MSS,MSE,LPBL,SZ0 & & ,RKHS,CLOW,CTS & & ,SPECIES,NSPEC,RKH,ZHK,RHO & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE,I,J) 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 INTEGER,INTENT(IN):: LMH,LPBL,MSS,MSE,NSPEC REAL,INTENT(IN):: DTDIF,RKHS REAL,DIMENSION(MSS:MSE),INTENT(IN):: CLOW,CTS,SZ0 REAL,DIMENSION(KTS:KTE-1),INTENT(IN):: RKH REAL,DIMENSION(KTS:KTE ),INTENT(IN):: RHO REAL,DIMENSION(KTS:KTE+1),INTENT(IN):: ZHK REAL,DIMENSION(MSS:MSE,KTS:KTE),INTENT(INOUT):: SPECIES INTEGER:: K,M REAL:: CF,CMB,CMSB,DTOZL,DTOZS,RCML,RHOK,RKHH,RKHZ,RKSS,RSSB REAL,DIMENSION(KTS:KTE-1):: CM,CR,DTOZ REAL,DIMENSION(MSS:MSE,KTS:KTE-1):: RKCT,RSS DO K=KTS,LMH-1 DTOZ(K)=DTDIF/(ZHK(K)-ZHK(K+1)) CR(K)=-DTOZ(K)*RKH(K) IF(K.LT.LPBL) THEN DO M=MSS,NSPEC RKCT(M,K)=0. ENDDO ELSE RKHZ=RKH(K)*(ZHK(K)-ZHK(K+2)) DO M=MSS,NSPEC RKCT(M,K)=RKHZ*CTS(M)*0.5 ENDDO ENDIF ENDDO RHOK=RHO(KTS) CM(KTS)=DTOZ(KTS)*RKH(KTS)+RHOK DO M=MSS,NSPEC RSS(M,KTS)=-RKCT(M,KTS)*DTOZ(KTS)+SPECIES(M,KTS)*RHOK ENDDO DO K=KTS+1,LMH-1 DTOZL=DTOZ(K) CF=-DTOZL*RKH(K-1)/CM(K-1) RHOK=RHO(K) CM(K)=-CR(K-1)*CF+(RKH(K-1)+RKH(K))*DTOZL+RHOK DO M=MSS,NSPEC RSS(M,K)=-RSS(M,K-1)*CF & +(RKCT(M,K-1)-RKCT(M,K))*DTOZL+SPECIES(M,K)*RHOK ENDDO ENDDO DTOZS=DTDIF/(ZHK(LMH)-ZHK(LMH+1)) RKHH=RKH(LMH-1) CF=-DTOZS*RKHH/CM(LMH-1) CMB=CR(LMH-1)*CF RHOK=RHO(LMH) DO M=MSS,NSPEC RKSS=RKHS*CLOW(M) CMSB=-CMB+(RKHH+RKSS)*DTOZS+RHOK RSSB=-RSS(M,LMH-1)*CF+RKCT(M,LMH-1)*DTOZS+SPECIES(M,LMH)*RHOK SPECIES(M,LMH)=(DTOZS*RKSS*SZ0(M)+RSSB)/CMSB ENDDO DO K=LMH-1,KTS,-1 RCML=1./CM(K) DO M=MSS,NSPEC SPECIES(M,K)=(-CR(K)*SPECIES(M,K+1)+RSS(M,K))*RCML ENDDO ENDDO END SUBROUTINE VDIFH SUBROUTINE VDIFX(DTDIF,LMH,RKHS,CT & ,DUST1,DUST2,RKH,Z,RHO & ,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 INTEGER,INTENT(IN) :: LMH REAL,INTENT(IN) :: CT,DTDIF,RKHS REAL,DIMENSION(KTS:KTE-1),INTENT(IN) :: RKH REAL,DIMENSION(KTS:KTE),INTENT(IN) :: RHO REAL,DIMENSION(KTS:KTE+1),INTENT(IN) :: Z REAL,DIMENSION(KTS:KTE),INTENT(INOUT) :: DUST1,DUST2 INTEGER :: K REAL :: CF,CMB,CMDB,CTHF,DTOZL,DTOZS & ,RCML,RKHH,RSD1B,RSD2B REAL,DIMENSION(KTS:KTE-1) :: CM,CR,DTOZ,RKCT,RSD1,RSD2 CTHF=0.5*CT DO K=KTS,LMH-1 DTOZ(K)=DTDIF/(Z(K)-Z(K+1)) CR(K)=-DTOZ(K)*RKH(K) RKCT(K)=RKH(K)*(Z(K)-Z(K+2))*CTHF ENDDO CM(KTS)=DTOZ(KTS)*RKH(KTS)+RHO(KTS) RSD1(KTS)=DUST1(KTS)*RHO(KTS) RSD2(KTS)=DUST2(KTS)*RHO(KTS) DO K=KTS+1,LMH-1 DTOZL=DTOZ(K) CF=-DTOZL*RKH(K-1)/CM(K-1) CM(K)=-CR(K-1)*CF+(RKH(K-1)+RKH(K))*DTOZL+RHO(K) RSD1(K)=-RSD1(K-1)*CF+DUST1(K)*RHO(K) RSD2(K)=-RSD2(K-1)*CF+DUST2(K)*RHO(K) ENDDO DTOZS=DTDIF/(Z(LMH)-Z(LMH+1)) RKHH=RKH(LMH-1) CF=-DTOZS*RKHH/CM(LMH-1) CMB=CR(LMH-1)*CF CMDB=-CMB+RKHH*DTOZS+RHO(LMH) RSD1B=-RSD1(LMH-1)*CF+DUST1(LMH)*RHO(LMH) RSD2B=-RSD2(LMH-1)*CF+DUST2(LMH)*RHO(LMH) DUST1(LMH)=RSD1B/CMDB DUST2(LMH)=RSD2B/CMDB DO K=LMH-1,KTS,-1 RCML=1./CM(K) DUST1(K)=(-CR(K)*DUST1(K+1)+RSD1(K))*RCML DUST2(K)=(-CR(K)*DUST2(K+1)+RSD2(K))*RCML ENDDO END SUBROUTINE VDIFX SUBROUTINE VDIFV(LMH,DTDIF,UZ0,VZ0,RKMS,U,V,RKM,Z,RHO & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & ,ITS,ITE,JTS,JTE,KTS,KTE,I,J) 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 INTEGER,INTENT(IN) :: LMH REAL,INTENT(IN) :: RKMS,DTDIF,UZ0,VZ0 REAL,DIMENSION(KTS:KTE-1),INTENT(IN) :: RKM REAL,DIMENSION(KTS:KTE),INTENT(IN) :: RHO REAL,DIMENSION(KTS:KTE+1),INTENT(IN) :: Z REAL,DIMENSION(KTS:KTE),INTENT(INOUT) :: U,V INTEGER :: K REAL :: CF,DTOZAK,DTOZL,DTOZS,RCML,RCMVB,RHOK,RKMH REAL,DIMENSION(KTS:KTE-1) :: CM,CR,DTOZ,RSU,RSV DO K=1,LMH-1 DTOZ(K)=DTDIF/(Z(K)-Z(K+1)) CR(K)=-DTOZ(K)*RKM(K) ENDDO RHOK=RHO(1) CM(1)=DTOZ(1)*RKM(1)+RHOK RSU(1)=U(1)*RHOK RSV(1)=V(1)*RHOK DO K=2,LMH-1 DTOZL=DTOZ(K) CF=-DTOZL*RKM(K-1)/CM(K-1) RHOK=RHO(K) CM(K)=-CR(K-1)*CF+(RKM(K-1)+RKM(K))*DTOZL+RHOK RSU(K)=-RSU(K-1)*CF+U(K)*RHOK RSV(K)=-RSV(K-1)*CF+V(K)*RHOK ENDDO DTOZS=DTDIF/(Z(LMH)-Z(LMH+1)) RKMH=RKM(LMH-1) CF=-DTOZS*RKMH/CM(LMH-1) RHOK=RHO(LMH) RCMVB=1./((RKMH+RKMS)*DTOZS-CR(LMH-1)*CF+RHOK) DTOZAK=DTOZS*RKMS U(LMH)=(DTOZAK*UZ0-RSU(LMH-1)*CF+U(LMH)*RHOK)*RCMVB V(LMH)=(DTOZAK*VZ0-RSV(LMH-1)*CF+V(LMH)*RHOK)*RCMVB DO K=LMH-1,1,-1 RCML=1./CM(K) U(K)=(-CR(K)*U(K+1)+RSU(K))*RCML V(K)=(-CR(K)*V(K+1)+RSV(K))*RCML ENDDO END SUBROUTINE VDIFV SUBROUTINE MYJPBLINIT(RUBLTEN,RVBLTEN,RTHBLTEN,RQVBLTEN, & & TKE_MYJ,EXCH_H,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) :: ALLOWED_TO_READ,RESTART INTEGER,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE, & & IMS,IME,JMS,JME,KMS,KME, & & ITS,ITE,JTS,JTE,KTS,KTE REAL,DIMENSION(IMS:IME,KMS:KME,JMS:JME),INTENT(OUT) :: EXCH_H, & & RUBLTEN, & & RVBLTEN, & & RTHBLTEN, & & RQVBLTEN, & & TKE_MYJ 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 TKE_MYJ(I,K,J)=EPSQ2 RUBLTEN(I,K,J)=0. RVBLTEN(I,K,J)=0. RTHBLTEN(I,K,J)=0. RQVBLTEN(I,K,J)=0. EXCH_H(I,K,J)=0. ENDDO ENDDO ENDDO ENDIF END SUBROUTINE MYJPBLINIT END MODULE MODULE_BL_MYJPBL