!----------------------------------------------------------------------- ! MODULE MODULE_BL_MYJPBL ! !----------------------------------------------------------------------- ! USE MODULE_MODEL_CONSTANTS ! !----------------------------------------------------------------------- ! ! REFERENCES: Janjic (2002), NCEP Office Note 437 ! Mellor and Yamada (1982), Rev. Geophys. Space Phys. ! ! ABSTRACT: ! MYJ UPDATES THE TURBULENT KINETIC ENERGY WITH THE PRODUCTION/ ! DISSIPATION TERM AND THE VERTICAL DIFFUSION TERM ! (USING AN IMPLICIT FORMULATION) FROM MELLOR-YAMADA ! LEVEL 2.5 AS EXTENDED BY JANJIC. EXCHANGE COEFFICIENTS FOR ! THE SURFACE AND FOR ALL LAYER INTERFACES ARE COMPUTED FROM ! MONIN-OBUKHOV THEORY. ! THE TURBULENT VERTICAL EXCHANGE IS THEN EXECUTED. ! !----------------------------------------------------------------------- ! INTEGER :: ITRMX=5 ! Iteration count for mixing length computation ! ! REAL,PARAMETER :: G=9.81,PI=3.1415926,R_D=287.04,R_V=461.6 & ! & ,VKARMAN=0.4 REAL,PARAMETER :: PI=3.1415926,VKARMAN=0.4 ! REAL,PARAMETER :: CP=7.*R_D/2. 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 & ! & ,EP_1=R_V/R_D-1.,ESQHF=0.5*5.0,GRRS=GLKBR/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 ! !----------------------------------------------------------------------- !*** FREE TERM IN THE EQUILIBRIUM EQUATION FOR (L/Q)**2 !----------------------------------------------------------------------- ! 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 ! !----------------------------------------------------------------------- !*** FORBIDDEN TURBULENCE AREA !----------------------------------------------------------------------- ! REAL,PARAMETER :: REQU=-AEQH/AEQM & & ,EPSGH=1.E-9,EPSGM=REQU*EPSGH ! !----------------------------------------------------------------------- !*** NEAR ISOTROPY FOR SHEAR TURBULENCE, WW/Q2 LOWER LIMIT !----------------------------------------------------------------------- ! 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,CWM,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 & & ,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 ! 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,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 & & ,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,TKE_MYJ ! REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: CHKLOWQ,ELFLX ! !---------------------------------------------------------------------- !*** !*** LOCAL VARIABLES !*** 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 ! REAL,DIMENSION(KTS:KTE) :: CWMK,PK,Q2K,QK,THEK,TK,UK,VK ! 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 ! REAL,DIMENSION(ITS:ITE,KTS:KTE-1,JTS:JTE) :: AKH,AKM ! REAL,DIMENSION(ITS:ITE,KTS:KTE+1,JTS:JTE) :: ZINT ! !*** Begin debugging REAL :: ZSL_DIAG INTEGER :: IMD,JMD,PRINT_DIAG !*** End debugging ! !---------------------------------------------------------------------- !********************************************************************** !---------------------------------------------------------------------- ! !*** Begin debugging IMD=(IMS+IME)/2 JMD=(JMS+JME)/2 !*** End debugging ! !*** MAKE PREPARATIONS ! !---------------------------------------------------------------------- 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) ! Z at bottom of lowest sigma layer ! !!!!!!!!! !!!!!! UNCOMMENT THESE LINES IF USING ETA COORDINATES !!!!!!!!! !!!!!! ZINT(I,KTE+1,J)=1.E-4 ! Z of bottom of lowest eta layer !!!!!! ZHK(KTE+1)=1.E-4 ! Z of bottom of lowest eta layer ! 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 = 0. ! !---------------------------------------------------------------------- setup_integration: DO J=JTS,JTE !---------------------------------------------------------------------- ! DO I=ITS,ITE ! !*** LOWEST LAYER ABOVE GROUND MUST BE FLIPPED ! LMH=KTE-LOWLYR(I,J)+1 ! PTOP=PINT(I,KTE+1,J) ! KTE+1=KME PSFC=PINT(I,LOWLYR(I,J),J) ! !*** CONVERT LAND MASK (1 FOR SEA; 0 FOR LAND) ! SEAMASK=XLAND(I,J)-1. ! !*** FILL 1-D VERTICAL ARRAYS !*** AND FLIP DIRECTION SINCE MYJ SCHEME !*** COUNTS DOWNWARD FROM THE DOMAIN'S TOP ! 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) ! !*** TKE=0.5*(q**2) ==> q**2=2.*TKE ! Q2K(K)=2.*TKE_MYJ(I,KFLIP,J) ! !*** COMPUTE THE HEIGHTS OF THE LAYER INTERFACES ! ZHK(K)=ZINT(I,K,J) ! ENDDO ZHK(KTE+1)=HT(I,J) ! Z at bottom of lowest sigma layer ! !*** Begin debugging ! IF(I==IMD.AND.J==JMD)THEN ! PRINT_DIAG=1 ! ELSE ! PRINT_DIAG=0 ! ENDIF ! IF(I==227.AND.J==363)PRINT_DIAG=2 !*** End debugging ! !---------------------------------------------------------------------- !*** !*** FIND THE MIXING LENGTH !*** CALL MIXLEN(LMH,UK,VK,TK,THEK,QK,CWMK & & ,Q2K,ZHK,GM,GH,EL & & ,PBLH(I,J),LPBL(I,J),LMXL,CT(I,J) & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE) ! !---------------------------------------------------------------------- !*** !*** SOLVE FOR THE PRODUCTION/DISSIPATION OF !*** THE TURBULENT KINETIC ENERGY !*** ! 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) ! !---------------------------------------------------------------------- !*** THE MODEL LAYER (COUNTING UPWARD) CONTAINING THE TOP OF THE PBL !---------------------------------------------------------------------- ! KPBL(I,J)=KTE-LPBL(I,J)+1 ! !---------------------------------------------------------------------- !*** !*** FIND THE EXCHANGE COEFFICIENTS IN THE FREE ATMOSPHERE !*** 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) ! debug ! !*** COUNTING DOWNWARD FROM THE TOP, THE EXCHANGE COEFFICIENTS AKH !*** ARE DEFINED ON THE BOTTOMS OF THE LAYERS KTS TO KTE-1. COUNTING !*** COUNTING UPWARD FROM THE BOTTOM, THOSE SAME COEFFICIENTS EXCH_H !*** ARE DEFINED ON THE TOPS OF THE LAYERS KTS TO KTE-1. ! 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 ! !---------------------------------------------------------------------- !*** !*** CARRY OUT THE VERTICAL DIFFUSION OF !*** TURBULENT KINETIC ENERGY !*** ! 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) ! !*** SAVE THE NEW TKE AND MIXING LENGTH. ! DO K=KTS,KTE KFLIP=KTE+1-K Q2K(KFLIP)=AMAX1(Q2K(KFLIP),EPSQ2) TKE_MYJ(I,K,J)=0.5*Q2K(KFLIP) IF(KFLIP/=KTE)EL_MYJ(I,K,J)=EL(KFLIP) ! EL IS NOT DEFINED AT KTE (ground surface) ENDDO ! ENDDO ! !---------------------------------------------------------------------- ENDDO setup_integration !---------------------------------------------------------------------- ! !*** CONVERT SURFACE SENSIBLE TEMPERATURE TO POTENTIAL TEMPERATURE. ! DO J=JTS,JTE DO I=ITS,ITE PSFC=PINT(I,LOWLYR(I,J),J) THSK(I,J)=TSK(I,J)*(1.E5/PSFC)**CAPA ENDDO ENDDO ! !---------------------------------------------------------------------- ! !---------------------------------------------------------------------- main_integration: DO J=JTS,JTE !---------------------------------------------------------------------- ! DO I=ITS,ITE ! !*** FILL 1-D VERTICAL ARRAYS !*** AND FLIP DIRECTION SINCE MYJ SCHEME !*** COUNTS DOWNWARD FROM THE DOMAIN'S TOP ! 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 ! !*** COUNTING DOWNWARD FROM THE TOP, THE EXCHANGE COEFFICIENTS AKH !*** ARE DEFINED ON THE BOTTOMS OF THE LAYERS KTS TO KTE-1. THESE COEFFICIENTS !*** ARE ALSO MULTIPLIED BY THE DENSITY AT THE BOTTOM INTERFACE LEVEL. ! 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) ! !*** LOWEST LAYER ABOVE GROUND MUST BE FLIPPED ! LMH=KTE-LOWLYR(I,J)+1 ! !---------------------------------------------------------------------- !*** CARRY OUT THE VERTICAL DIFFUSION OF !*** TEMPERATURE AND WATER VAPOR !---------------------------------------------------------------------- ! 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) !---------------------------------------------------------------------- !*** !*** COMPUTE PRIMARY VARIABLE TENDENCIES !*** 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 RQVBLTEN(I,K,J)=DQDT/(1.-QK(KFLIP))**2 RQCBLTEN(I,K,J)=DCDT ENDDO ! !*** Begin debugging ! IF(I==IMD.AND.J==JMD)THEN ! PRINT_DIAG=0 ! ELSE ! PRINT_DIAG=0 ! ENDIF ! IF(I==227.AND.J==363)PRINT_DIAG=0 !*** End debugging ! PSFC=.01*PINT(I,LOWLYR(I,J),J) ZSL_DIAG=0.5*DZ(I,1,J) ! !*** Begin debugging ! IF(PRINT_DIAG==1)THEN ! ! write(6,"(a, 2i5, 2i3, 2f8.2, f6.2, 2f8.2)") & ! '{turb4 i,j, Kpbl, Kmxl, Psfc, Zsfc, Zsl, Zpbl, Zmxl = ' & ! , i, j, KPBL(i,j), KTE-LMXL+1, PSFC, ZHK(LMH+1), ZSL_diag & ! , PBLH(i,j), ZHK(LMXL)-ZHK(LMH+1) ! write(6,"(a, 2f7.2, f7.3, 3e11.4)") & ! '{turb4 tsk, thsk, qz0, q**2_0, akhs, exch_0 = ' & ! , tsk(i,j)-273.15, thsk(i,j), 1000.*qz0(i,j) & ! , 2.*tke_myj(i,1,j), akhs(i,j), akhs(i,j)*ZSL_diag ! write(6,"(a)") & ! '{turb5 k, Pmid, Pint_1, Tc, TH, DTH, GH, GM, EL, Q**2, Akh, EXCH_h, Dz, Dp' ! do k=kts,kte/2 ! KFLIP=KTE-K !-- Includes the KFLIP-1 in earlier versions ! write(6,"(a,i3, 2f8.2, 2f8.3, 3e12.4, 4e11.4, f7.2, f6.2)") & ! '{turb5 ', k, .01*pmid(i,k,j),.01*pint(i,k,j), T(i,k,j)-273.15 & ! , th(i,k,j), DTTURBL*rthblten(i,k,j), GH(KFLIP), GM(KFLIP) & ! , el_myj(i,KFLIP,j), 2.*tke_myj(i,k+1,j), akh(i,KFLIP,j) & ! , exch_h(i,k,j), dz(i,k,j), .01*(pint(i,k,j)-pint(i,k+1,j)) ! enddo ! ! ELSEIF(PRINT_DIAG==2)THEN ! ! write(6,"(a, 2i5, 2i3, 2f8.2, f6.2, 2f8.2)") & ! '}turb4 i,j, Kpbl, Kmxl, Psfc, Zsfc, Zsl, Zpbl, Zmxl = ' & ! , i, j, KPBL(i,j), KTE-LMXL+1, PSFC, ZHK(LMH+1), ZSL_diag & ! , PBLH(i,j), ZHK(LMXL)-ZHK(LMH+1) ! write(6,"(a, 2f7.2, f7.3, 3e11.4)") & ! '}turb4 tsk, thsk, qz0, q**2_0, akhs, exch_0 = ' & ! , tsk(i,j)-273.15, thsk(i,j), 1000.*qz0(i,j) & ! , 2.*tke_myj(i,1,j), akhs(i,j), akhs(i,j)*ZSL_diag ! write(6,"(a)") & ! '}turb5 k, Pmid, Pint_1, Tc, TH, DTH, GH, GM, EL, Q**2, Akh, EXCH_h, Dz, Dp' ! do k=kts,kte/2 ! KFLIP=KTE-K !-- Includes the KFLIP-1 in earlier versions ! write(6,"(a,i3, 2f8.2, 2f8.3, 3e12.4, 4e11.4, f7.2, f6.2)") & ! '}turb5 ', k, .01*pmid(i,k,j),.01*pint(i,k,j), T(i,k,j)-273.15 & ! , th(i,k,j), DTTURBL*rthblten(i,k,j), GH(KFLIP), GM(KFLIP) & ! , el_myj(i,KFLIP,j), 2.*tke_myj(i,k+1,j), akh(i,KFLIP,j) & ! , exch_h(i,k,j), dz(i,k,j), .01*(pint(i,k,j)-pint(i,k+1,j)) ! enddo ! ENDIF !*** End debugging ! !---------------------------------------------------------------------- ENDDO !---------------------------------------------------------------------- DO I=ITS,ITE ! !*** FILL 1-D VERTICAL ARRAYS !*** AND FLIP DIRECTION SINCE MYJ SCHEME !*** COUNTS DOWNWARD FROM THE DOMAIN'S TOP ! 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) ! !---------------------------------------------------------------------- !*** CARRY OUT THE VERTICAL DIFFUSION OF !*** VELOCITY COMPONENTS !---------------------------------------------------------------------- ! 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) ! !---------------------------------------------------------------------- !*** !*** COMPUTE PRIMARY VARIABLE TENDENCIES !*** 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 ! !---------------------------------------------------------------------- !XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX !---------------------------------------------------------------------- SUBROUTINE MIXLEN & !---------------------------------------------------------------------- ! ****************************************************************** ! * * ! * LEVEL 2.5 MIXING LENGTH * ! * * ! ****************************************************************** ! &(LMH,U,V,T,THE,Q,CWM,Q2,Z,GM,GH,EL,PBLH,LPBL,LMXL,CT & &,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 ! REAL,DIMENSION(KTS:KTE-1),INTENT(OUT) :: EL,GH,GM ! REAL,INTENT(INOUT) :: CT !---------------------------------------------------------------------- !*** !*** LOCAL VARIABLES !*** 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 ! !---------------------------------------------------------------------- !********************************************************************** !--------------FIND THE HEIGHT OF THE PBL------------------------------- LPBL=LMH ! DO K=LMH-1,1,-1 IF(Q2(K)<=EPSQ2*FH)THEN LPBL=K GO TO 110 ENDIF ENDDO ! LPBL=1 ! !--------------THE HEIGHT OF THE PBL------------------------------------ ! 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)) 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 ! !---------------------------------------------------------------------- !*** FIND MAXIMUM MIXING LENGTHS AND THE LEVEL OF THE PBL TOP !---------------------------------------------------------------------- ! 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) ! repsr1/qol2un ELM(K)=MAX(SQRT(ELOQ2X*Q2(K)),EPSL) ENDIF ENDDO ! IF(ELM(LMH-1)==EPSL)LMXL=LMH ! !---------------------------------------------------------------------- !*** THE HEIGHT OF THE MIXED LAYER !---------------------------------------------------------------------- ! 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 ! !---------------------------------------------------------------------- !*** COMPUTATION OF ASYMPTOTIC L IN BLACKADAR FORMULA !---------------------------------------------------------------------- ! EL0=MIN(ALPH*SZQ*0.5/SQ,EL0MAX) EL0=MAX(EL0 ,EL0MIN) ! !---------------------------------------------------------------------- !*** ABOVE THE PBL TOP !---------------------------------------------------------------------- ! 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 ! !---------------------------------------------------------------------- !*** INSIDE THE PBL !---------------------------------------------------------------------- ! IF(LPBL=EPSGH.AND.GML/GHL<=REQU) & & .OR.(EQOL2<=EPS2))THEN ! !---------------------------------------------------------------------- !*** NO TURBULENCE !---------------------------------------------------------------------- ! Q2(K)=EPSQ2 EL(K)=EPSL !---------------------------------------------------------------------- ! ELSE ! !---------------------------------------------------------------------- !*** TURBULENCE !---------------------------------------------------------------------- !---------------------------------------------------------------------- !*** COEFFICIENTS OF THE TERMS IN THE NUMERATOR !---------------------------------------------------------------------- ! ANUM=(ANMM*GML+ANMH*GHL)*GHL BNUM= BNMM*GML+BNMH*GHL ! !---------------------------------------------------------------------- !*** COEFFICIENTS OF THE TERMS IN THE DENOMINATOR !---------------------------------------------------------------------- ! ADEN=(ADNM*GML+ADNH*GHL)*GHL BDEN= BDNM*GML+BDNH*GHL CDEN= 1. ! !---------------------------------------------------------------------- !*** COEFFICIENTS OF THE NUMERATOR OF THE LINEARIZED EQ. !---------------------------------------------------------------------- ! ARHS=-(ANUM*BDEN-BNUM*ADEN)*2. BRHS=- ANUM*4. CRHS=- BNUM*2. ! !---------------------------------------------------------------------- !*** INITIAL VALUE OF L/Q !---------------------------------------------------------------------- ! DLOQ1=EL(K)/SQRT(Q2(K)) ! !---------------------------------------------------------------------- !*** FIRST ITERATION FOR L/Q, RHS=0 !---------------------------------------------------------------------- ! ELOQ21=1./EQOL2 ELOQ11=SQRT(ELOQ21) ELOQ31=ELOQ21*ELOQ11 ELOQ41=ELOQ21*ELOQ21 ELOQ51=ELOQ21*ELOQ31 ! !---------------------------------------------------------------------- !*** 1./DENOMINATOR !---------------------------------------------------------------------- ! RDEN1=1./(ADEN*ELOQ41+BDEN*ELOQ21+CDEN) ! !---------------------------------------------------------------------- !*** D(RHS)/D(L/Q) !---------------------------------------------------------------------- ! RHSP1=(ARHS*ELOQ51+BRHS*ELOQ31+CRHS*ELOQ11)*RDEN1*RDEN1 ! !---------------------------------------------------------------------- !*** FIRST-GUESS SOLUTION !---------------------------------------------------------------------- ! ELOQ12=ELOQ11+(DLOQ1-ELOQ11)*EXP(RHSP1*DTTURBL) ELOQ12=MAX(ELOQ12,EPS1) ! !---------------------------------------------------------------------- !*** SECOND ITERATION FOR L/Q !---------------------------------------------------------------------- ! ELOQ22=ELOQ12*ELOQ12 ELOQ32=ELOQ22*ELOQ12 ELOQ42=ELOQ22*ELOQ22 ELOQ52=ELOQ22*ELOQ32 ! !---------------------------------------------------------------------- !*** 1./DENOMINATOR !---------------------------------------------------------------------- ! 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 ! !---------------------------------------------------------------------- !*** CORRECTED SOLUTION !---------------------------------------------------------------------- ! ELOQ13=ELOQ12-RHST2+(RHST2+DLOQ1-ELOQ12)*EXP(RHSP2*DTTURBL) ELOQ13=AMAX1(ELOQ13,EPS1) ! !---------------------------------------------------------------------- !*** TWO ITERATIONS IS ENOUGH IN MOST CASES ... !---------------------------------------------------------------------- ! 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 ! !---------------------------------------------------------------------- !*** END OF TURBULENT BRANCH !---------------------------------------------------------------------- ! ENDIF !---------------------------------------------------------------------- !*** END OF PRODUCTION/DISSIPATION LOOP !---------------------------------------------------------------------- ! ENDDO main_integration ! !---------------------------------------------------------------------- !*** LOWER BOUNDARY CONDITION FOR Q2 !---------------------------------------------------------------------- ! Q2(LMH)=AMAX1(B1**(2./3.)*USTAR*USTAR,EPSQ2) !---------------------------------------------------------------------- ! END SUBROUTINE PRODQ2 ! !---------------------------------------------------------------------- !XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX !---------------------------------------------------------------------- SUBROUTINE DIFCOF & ! ****************************************************************** ! * * ! * LEVEL 2.5 DIFFUSION COEFFICIENTS * ! * * ! ****************************************************************** &(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) ! debug !---------------------------------------------------------------------- ! 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 !---------------------------------------------------------------------- !*** !*** LOCAL VARIABLES !*** INTEGER :: K,KINV ! REAL :: ADEN,AKMIN,BDEN,BESH,BESM,CDEN,D2T,ELL,ELOQ2,ELOQ4,ELQDZ & & ,ESH,ESM,GHL,GML,Q1L,RDEN,RDZ ! !*** Begin debugging INTEGER,INTENT(IN) :: PRINT_DIAG ! REAL :: D2Tmin !*** End debugging ! !---------------------------------------------------------------------- !********************************************************************** !---------------------------------------------------------------------- ! DO K=1,LMH-1 ELL=EL(K) ! ELOQ2=ELL*ELL/Q2(K) ELOQ4=ELOQ2*ELOQ2 ! GML=GM(K) GHL=GH(K) ! !---------------------------------------------------------------------- !*** COEFFICIENTS OF THE TERMS IN THE DENOMINATOR !---------------------------------------------------------------------- ! ADEN=(ADNM*GML+ADNH*GHL)*GHL BDEN= BDNM*GML+BDNH*GHL CDEN= 1. ! !---------------------------------------------------------------------- !*** COEFFICIENTS FOR THE SM DETERMINANT !---------------------------------------------------------------------- ! BESM=BSMH*GHL ! !---------------------------------------------------------------------- !*** COEFFICIENTS FOR THE SH DETERMINANT !---------------------------------------------------------------------- ! BESH=BSHM*GML+BSHH*GHL ! !---------------------------------------------------------------------- !*** 1./DENOMINATOR !---------------------------------------------------------------------- ! RDEN=1./(ADEN*ELOQ4+BDEN*ELOQ2+CDEN) ! !---------------------------------------------------------------------- !*** SM AND SH !---------------------------------------------------------------------- ! ESM=(BESM*ELOQ2+CESM)*RDEN ESH=(BESH*ELOQ2+CESH)*RDEN ! !---------------------------------------------------------------------- !*** DIFFUSION COEFFICIENTS !---------------------------------------------------------------------- ! RDZ=2./(Z(K)-Z(K+2)) Q1L=SQRT(Q2(K)) ELQDZ=ELL*Q1L*RDZ AKM(K)=ELQDZ*ESM AKH(K)=ELQDZ*ESH !---------------------------------------------------------------------- ENDDO !---------------------------------------------------------------------- ! !---------------------------------------------------------------------- !*** INVERSIONS !---------------------------------------------------------------------- ! ! IF(LMXL==LMH)THEN ! KINV=LMH ! D2Tmin=0. ! ! DO K=LMH/2,LMH-1 ! D2T=T(K-1)-2.*T(K)+T(K+1) ! IF(D2T0)THEN ! write(6,"(a,3i3)") '{turb1 lmxl,lmh,kinv=',lmxl,lmh,kinv ! write(6,"(a,3i3)") '}turb1 lmxl,lmh,kinv=',lmxl,lmh,kinv ! IF(PRINT_DIAG==1)THEN ! write(6,"(a)") & ! '{turb3 k, t, d2t, rdz, z(k), z(k+2), akmin, akh ' ! ELSE ! write(6,"(a)") & ! '}turb3 k, t, d2t, rdz, z(k), z(k+2), akmin, akh ' ! ENDIF ! DO K=LMH-1,KINV-1,-1 ! D2T=T(K-1)-2.*T(K)+T(K+1) ! RDZ=2./(Z(K)-Z(K+2)) ! AKMIN=0.5*RDZ ! IF(PRINT_DIAG==1)THEN ! write(6,"(a,i3,f8.3,2e12.5,2f9.2,2e12.5)") '{turb3 ' & ! ,k,t(k)-273.15,d2t,rdz,z(k),z(k+2),akmin,akh(k) ! ELSE ! write(6,"(a,i3,f8.3,2e12.5,2f9.2,2e12.5)") '}turb3 ' & ! ,k,t(k)-273.15,d2t,rdz,z(k),z(k+2),akmin,akh(k) ! ENDIF ! ENDDO ! ENDIF !- IF (print_diag > 0) THEN ! ENDIF !- IF(KINV