MODULE MODULE_BL_QNSEPBL USE MODULE_MODEL_CONSTANTS INTEGER :: ITRMX=5 REAL,PARAMETER :: PI=3.1415926,VKARMAN=0.4 REAL,PARAMETER :: EPSQ2L=0.01 REAL,PARAMETER :: C0=0.55,CEPS=C0**3,BLCKDR=0.0063,CN=0.75 & & ,AM1=8.0,AM2=2.3,AM3=35.0,AH1=1.4,AH2=-0.01 & & ,AH3=1.29,AH4=2.44,AH5=19.8 & & ,ARIMIN=0.127,BM1=2.88,BM2=16.0,BH1=3.6,BH2=16.0 & & ,BH3=720.0,EPSKM=1.E-3 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 QNSEPBL(DT,STEPBL,HT,DZ & & ,PMID,PINT,TH,T,EXNER,QV,CWM,U,V,RHO & & ,TSK,QSFC,CHKLOWQ,THZ0,QZ0,UZ0,VZ0,CORF & & ,LOWLYR,XLAND,SICE,SNOW & & ,TKE,EXCH_H,EXCH_M,USTAR,ZNT,EL_MYJ,PBLH,KPBL,CT & & ,AKHS,AKMS,ELFLX,HFX & & ,LM_BL89,WTHV_MF & & ,RUBLTEN,RVBLTEN,RTHBLTEN,RQVBLTEN,RQCBLTEN & & ,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,HFX REAL,DIMENSION(IMS:IME,KMS:KME,JMS:JME),INTENT(IN) :: CWM,DZ & & ,EXNER & & ,PMID,PINT & & ,QV,RHO & & ,T,TH,U,V REAL,DIMENSION(IMS:IME,KMS:KME,JMS:JME),INTENT(IN),OPTIONAL :: & & WTHV_MF & & ,LM_BL89 REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(OUT) :: PBLH REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: AKHS,AKMS REAL,DIMENSION(IMS:IME,KMS:KME,JMS:JME) & & ,INTENT(OUT) :: EL_MYJ REAL,DIMENSION(IMS:IME,KMS:KME,JMS:JME) & & ,INTENT(INOUT) :: RQCBLTEN,RQVBLTEN & & ,RTHBLTEN & & ,RUBLTEN,RVBLTEN 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,EXCH_M,TKE REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: CHKLOWQ,ELFLX,CORF INTEGER :: I,J,K,KFLIP,LLOW,LMH,LMXL INTEGER,DIMENSION(ITS:ITE,JTS:JTE) :: LPBL REAL :: AKHS_DENS,AKMS_DENS,APEX,DCDT,DELTAZ,DQDT,DTDIF,DTDT & & ,DTTURBL,DUDT,DVDT,EXNSFC,PSFC,PTOP,QFC1,QLOW,QOLD & & ,RATIOMX,RDTTURBL,RG,RWMSK,SEAMASK,THNEW,THOLD,TX & & ,ULOW,VLOW,WMSK,RLOW REAL,DIMENSION(KTS:KTE) :: CWMK,PK,Q2K,QK,THEK,TK,UK,VK,& WTHV_MFK,LM_BL89K REAL,DIMENSION(KTS:KTE-1) :: AKHK,AKMK,EL,RI,GH,S2 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 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 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) 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(I,KFLIP,J) IF ( PRESENT (WTHV_MF) .AND. PRESENT (LM_BL89) ) THEN WTHV_MFK(K)=WTHV_MF(I,KFLIP,J) LM_BL89K(K)=LM_BL89(I,KFLIP,J) ELSE WTHV_MFK(K)=0. LM_BL89K(K)=0. ENDIF ZHK(K)=ZINT(I,K,J) ENDDO ZHK(KTE+1)=HT(I,J) CALL MIXLEN(LMH,UK,VK,TK,THEK,QK,CWMK & & ,Q2K,ZHK,USTAR(I,J),CORF(I,J),S2,GH,RI,EL & & ,PBLH(I,J),LPBL(I,J),LMXL,CT(I,J),LM_BL89K & & ,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,EL,RI,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+1,J)=AKHK(KFLIP)*DELTAZ EXCH_M(I,K+1,J)=AKMK(KFLIP)*DELTAZ ENDDO CALL PRODQ2(LMH,DTTURBL,USTAR(I,J),S2,RI,Q2K,EL,ZHK,AKMK,AKHK & & ,WTHV_MFK,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE) 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),EPSQ2L) TKE(I,K,J)=0.5*Q2K(KFLIP) IF(KFLIP/=KTE)EL_MYJ(I,K,J)=EL(KFLIP) ENDDO ENDDO ENDDO setup_integration DO J=JTS,JTE DO I=ITS,ITE PSFC=PINT(I,LOWLYR(I,J),J) RLOW=PSFC/(R_D*T(I,1,J)) THSK(I,J)=THZ0(I,J) THSK(I,J)=HFX(I,J)/(AKHS(I,J)*RLOW*CP)+TH(I,1,J) ENDDO ENDDO main_integration: DO J=JTS,JTE DO I=ITS,ITE DO K=KTE,KTS,-1 KFLIP=KTE+1-K THEK(K)=THE(I,KFLIP,J) RATIOMX=QV(I,KFLIP,J) QK(K)=RATIOMX/(1.+RATIOMX) CWMK(K)=CWM(I,KFLIP,J) ZHK(K)=ZINT(I,K,J) RHOK(K,I)=PMID(I,KFLIP,J)/(R_D*T(I,KFLIP,J)* & & (1.+P608*QK(K)-CWMK(K))) ENDDO DO K=KTS,KTE-1 AKHK(K)=AKH(I,K,J)*0.5*(RHOK(K,I)+RHOK(K+1,I)) ENDDO ZHK(KTE+1)=ZINT(I,KTE+1,J) SEAMASK=XLAND(I,J)-1. THZ0(I,J)=(1.-SEAMASK)*THSK(I,J)+SEAMASK*THZ0(I,J) LLOW=LOWLYR(I,J) AKHS_DENS=AKHS(I,J)*RHOK(KTE+1-LLOW,I) IF(SEAMASK<0.5)THEN QFC1=XLV*CHKLOWQ(I,J)*AKHS_DENS IF(SNOW(I,J)>0..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) LMH=KTE-LOWLYR(I,J)+1 CALL VDIFH(DTDIF,LMH,THZ0(I,J),QZ0(I,J) & & ,AKHS_DENS,CHKLOWQ(I,J),CT(I,J) & & ,THEK,QK,CWMK,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 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 DCDT=(CWMK(KFLIP)-CWM(I,K,J))*RDTTURBL RTHBLTEN(I,K,J)=DTDT + RTHBLTEN(I,K,J) RQVBLTEN(I,K,J)=DQDT/(1.-QK(KFLIP))**2 + RQVBLTEN(I,K,J) RQCBLTEN(I,K,J)=DCDT + RQCBLTEN(I,K,J) 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 + RUBLTEN(I,K,J) RVBLTEN(I,K,J)=DVDT + RVBLTEN(I,K,J) ENDDO ENDDO ENDDO main_integration END SUBROUTINE QNSEPBL SUBROUTINE MIXLEN & &(LMH,U,V,T,THE,Q,CWM,Q2,Z,USTAR,CORF & &,S2,GH,RI,EL,PBLH,LPBL,LMXL,CT,LM_BL89 & &,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,LM_BL89 REAL,DIMENSION(KTS:KTE+1),INTENT(IN) :: Z REAL,INTENT(OUT) :: PBLH REAL,DIMENSION(KTS:KTE-1),INTENT(OUT) :: EL,RI,GH,S2 REAL,INTENT(INOUT) :: CT REAL,INTENT(IN) :: CORF,USTAR INTEGER :: K,LPBLM REAL :: A,ADEN,B,BDEN,AUBR,BUBR,BLMX,EL0,ELOQ2X,GHL,S2L & & ,QOL2ST,QOL2UN,QDZL,RDZ,SQ,SREL,SZQ,TEM,THM,VKRMZ,RLAMBDA & & ,RLB,RLN,F REAL,DIMENSION(KTS:KTE) :: Q1,EN2 REAL,DIMENSION(KTS:KTE-1) :: DTH,ELM,REL LPBL=LMH DO K=LMH-1,1,-1 IF(Q2(K)<=EPSQ2L*FH)THEN LPBL=K GO TO 110 ENDIF ENDDO LPBL=1 110 PBLH=Z(LPBL)-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)) S2L=((U(K)-U(K+1))**2+(V(K)-V(K+1))**2)*RDZ*RDZ S2L=MAX(S2L,EPSGM) S2(K)=S2L 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 EN2(K)=GHL*G/THM GH(K)=GHL RI(K)=EN2(K)/S2L ENDDO LMXL=LMH DO K=KTS,LMH-1 S2L=S2(K) GHL=GH(K) IF(GHL>=EPSGH)THEN IF(S2L/GHL<=REQU)THEN ELM(K)=EPSL LMXL=K ELSE AUBR=(AUBM*S2L+AUBH*GHL)*GHL BUBR= BUBM*S2L+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*S2L+ADNH*GHL)*GHL BDEN= BDNM*S2L+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) 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=0.0)THEN VKRMZ=(Z(K+1)-Z(LMH+1))*VKARMAN RLB=RLAMBDA+1./VKRMZ RLN=SQRT(2.*EN2(K)/Q2(K))/CN EL(K)=1./(RLB+RLN) ENDIF ENDDO END SUBROUTINE MIXLEN SUBROUTINE PRODQ2 & &(LMH,DTTURBL,USTAR,S2,RI,Q2,EL,Z,AKM,AKH,WTHV_MF & &,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) :: DTTURBL,USTAR REAL,DIMENSION(KTS:KTE-1),INTENT(IN) :: S2,RI,AKM,AKH,EL REAL,DIMENSION(KTS:KTE+1),INTENT(IN) :: Z REAL,DIMENSION(KTS:KTE),INTENT(IN) :: WTHV_MF REAL,DIMENSION(KTS:KTE),INTENT(INOUT) :: Q2 INTEGER :: K REAL :: S2L,Q2L,DELTAZ,AKML,AKHL,EN2,PR,BPR,DIS,RC02 RC02=2.0/(C0*C0) main_integration: DO K=1,LMH-1 S2L=S2(K) Q2L=Q2(K) DELTAZ=0.5*(Z(K)-Z(K+2)) AKML=AKM(K)*DELTAZ AKHL=AKH(K)*DELTAZ EN2=RI(K)*S2L PR=AKML*S2L BPR=AKHL*EN2 DIS=CEPS*(0.5*Q2L)**1.5/EL(K) Q2L=Q2L+2.0*(PR-BPR-DIS)*DTTURBL Q2(K)=AMAX1(Q2L,EPSQ2L) ENDDO main_integration Q2(LMH)=AMAX1(RC02*USTAR*USTAR,EPSQ2L) END SUBROUTINE PRODQ2 SUBROUTINE DIFCOF & &(LMH,EL,RI,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 REAL,DIMENSION(KTS:KTE),INTENT(IN) :: Q2 REAL,DIMENSION(KTS:KTE-1),INTENT(IN) :: EL,RI REAL,DIMENSION(KTS:KTE+1),INTENT(IN) :: Z REAL,DIMENSION(KTS:KTE-1),INTENT(OUT) :: AKH,AKM INTEGER :: K REAL :: AK0,ALPHAM,ALPHAH,RIL,RIL2,ARIL,ARIL2,ARIL4,ELL,Q1L,RDZ & & ,AK0DZ,AKMIN INTEGER,INTENT(IN) :: PRINT_DIAG DO K=1,LMH-1 ELL=EL(K) Q1L=SQRT(0.5*Q2(K)) RIL=RI(K) AK0=C0*ELL*Q1L IF(RIL<=0) THEN ARIL=MIN(ABS(RIL),2.*ARIMIN) ARIL2=ARIL*ARIL ARIL4=ARIL2*ARIL2 ALPHAM=1.0+BM1*ARIL+BM2*ARIL2 ALPHAH=AH1+BH1*ARIL+BH2*ARIL2+BH3*ARIL4 ELSE RIL2=RIL*RIL ALPHAM=(1.0+AM1*RIL2)/(1.0+AM2*RIL+AM3*RIL2) ALPHAH=(AH1+AH2*RIL+AH3*RIL2)/(1.0+AH4*RIL+AH5*RIL2) ENDIF RDZ=2./(Z(K)-Z(K+2)) AK0DZ=AK0*RDZ AKMIN=EPSKM*RDZ AKM(K)=MAX(AK0DZ*ALPHAM,AKMIN) AKH(K)=MAX(AK0DZ*ALPHAH,AKMIN) 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,THZ0,QZ0,RKHS,CHKLOWQ,CT & & ,THE,Q,CWM,RKH,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) :: CHKLOWQ,CT,DTDIF,QZ0,RKHS,THZ0 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) :: CWM,Q,THE INTEGER :: K REAL :: CF,CMB,CMCB,CMQB,CMTB,CTHF,DTOZL,DTOZS & & ,RCML,RKHH,RKQS,RSCB,RSQB,RSTB REAL,DIMENSION(KTS:KTE-1) :: CM,CR,DTOZ,RKCT,RSC,RSQ,RST 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) RST(KTS)=-RKCT(KTS)*DTOZ(KTS) & & +THE(KTS)*RHO(KTS) RSQ(KTS)=Q(KTS) *RHO(KTS) RSC(KTS)=CWM(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) RST(K)=-RST(K-1)*CF+(RKCT(K-1)-RKCT(K))*DTOZL+THE(K)*RHO(K) RSQ(K)=-RSQ(K-1)*CF+Q(K) *RHO(K) RSC(K)=-RSC(K-1)*CF+CWM(K)*RHO(K) ENDDO DTOZS=DTDIF/(Z(LMH)-Z(LMH+1)) RKHH=RKH(LMH-1) CF=-DTOZS*RKHH/CM(LMH-1) RKQS=RKHS*CHKLOWQ CMB=CR(LMH-1)*CF CMTB=-CMB+(RKHH+RKHS)*DTOZS+RHO(LMH) CMQB=-CMB+(RKHH+RKQS)*DTOZS+RHO(LMH) CMCB=-CMB+(RKHH )*DTOZS+RHO(LMH) RSTB=-RST(LMH-1)*CF+RKCT(LMH-1)*DTOZS+THE(LMH)*RHO(LMH) RSQB=-RSQ(LMH-1)*CF+Q(LMH) *RHO(LMH) RSCB=-RSC(LMH-1)*CF+CWM(LMH)*RHO(LMH) THE(LMH)=(DTOZS*RKHS*THZ0+RSTB)/CMTB Q(LMH) =(DTOZS*RKQS*QZ0 +RSQB)/CMQB CWM(LMH)=( RSCB)/CMCB DO K=LMH-1,KTS,-1 RCML=1./CM(K) THE(K)=(-CR(K)*THE(K+1)+RST(K))*RCML Q(K) =(-CR(K)* Q(K+1)+RSQ(K))*RCML CWM(K)=(-CR(K)*CWM(K+1)+RSC(K))*RCML ENDDO END SUBROUTINE VDIFH 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 QNSEPBLINIT(RUBLTEN,RVBLTEN,RTHBLTEN,RQVBLTEN, & & TKE,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 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(I,K,J)=EPSQ2L 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 QNSEPBLINIT END MODULE MODULE_BL_QNSEPBL