!-----------------------------------------------------------------------
!
MODULE MODULE_BL_QNSEPBL09 2
!
!-----------------------------------------------------------------------
!
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
!
!-----------------------------------------------------------------------
!*** QNSE MODEL CONSTANTS
!-----------------------------------------------------------------------
!
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 &
! & ,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 QNSEPBL09(DT,STEPBL,HT,DZ & 1,6
& ,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 &
& ,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,EXCH_M,TKE
!
REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: CHKLOWQ,ELFLX,CORF
!
!----------------------------------------------------------------------
!***
!*** 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,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
!
!*** 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(its:ite,:,jts:jte) = 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(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,USTAR(I,J),CORF(I,J),S2,GH,RI,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)
!
!----------------------------------------------------------------------
!*** THE MODEL LAYER (COUNTING UPWARD) CONTAINING THE TOP OF THE PBL
!----------------------------------------------------------------------
!
KPBL(I,J)=KTE-LPBL(I,J)+1
!
!----------------------------------------------------------------------
!***
!*** FIND THE QNSE EXCHANGE COEFFICIENTS
!***
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) ! 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+1,J)=AKHK(KFLIP)*DELTAZ
EXCH_M(I,K+1,J)=AKMK(KFLIP)*DELTAZ
ENDDO
!
!----------------------------------------------------------------------
!***
!*** SOLVE FOR THE PRODUCTION/DISSIPATION OF
!*** THE TURBULENT KINETIC ENERGY
!***
!
CALL PRODQ2(LMH,DTTURBL,USTAR(I,J),S2,RI,Q2K,EL,ZHK,AKMK,AKHK &
& ,IDS,IDE,JDS,JDE,KDS,KDE &
& ,IMS,IME,JMS,JME,KMS,KME &
& ,ITS,ITE,JTS,JTE,KTS,KTE)
!
!----------------------------------------------------------------------
!***
!*** 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),EPSQ2L)
TKE(I,K,J)=0.5*Q2K(KFLIP)
IF(KFLIP/=KTE)EL_MYJ(I,K,J)=EL(KFLIP) ! EL IS NOT DEFINED AT KTE
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, S2, 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), S2(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, S2, 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), S2(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 QNSEPBL09
!
!----------------------------------------------------------------------
!XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
!----------------------------------------------------------------------
SUBROUTINE MIXLEN & 4
!----------------------------------------------------------------------
! ******************************************************************
! * *
! * LEVEL 2.5 MIXING LENGTH *
! * *
! ******************************************************************
!
&(LMH,U,V,T,THE,Q,CWM,Q2,Z,USTAR,CORF &
&,S2,GH,RI,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,RI,GH,S2
!
REAL,INTENT(INOUT) :: CT
!
REAL,INTENT(IN) :: CORF,USTAR
!----------------------------------------------------------------------
!***
!*** LOCAL VARIABLES
!***
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
!
!----------------------------------------------------------------------
!**********************************************************************
!--------------FIND THE HEIGHT OF THE PBL-------------------------------
LPBL=LMH
!
DO K=LMH-1,1,-1
IF(Q2(K)<=EPSQ2L*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.
!----------------------------------------------------------------------
!*** COMPUTE LOCAL GRADIENT RICHARDSON NUMBER
!----------------------------------------------------------------------
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 ! S**2
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 ! dTheta/dz
!
IF(ABS(GHL)<=EPSGH)GHL=EPSGH
!
EN2(K)=GHL*G/THM ! N**2
!
GH(K)=GHL
RI(K)=EN2(K)/S2L
ENDDO
!
!----------------------------------------------------------------------
!*** FIND MAXIMUM MIXING LENGTHS AND THE LEVEL OF THE PBL TOP
!----------------------------------------------------------------------
!
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) ! 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<LMH)THEN
DO K=LPBL,LMH-1
VKRMZ=(Z(K+1)-Z(LMH+1))*VKARMAN
EL(K)=MIN(VKRMZ/(VKRMZ/EL0+1.),ELM(K))
REL(K)=EL(K)/ELM(K)
ENDDO
ENDIF
!
DO K=LPBL+1,LMH-2
SREL=MIN(((REL(K-1)+REL(K+1))*0.5+REL(K))*0.5,REL(K))
EL(K)=MAX(SREL*ELM(K),EPSL)
ENDDO
!
!----------------------------------------------------------------------
!*** MIXING LENGTH FOR THE QNSE MODEL IN STABLE CASE
!----------------------------------------------------------------------
!
F=MAX(CORF,EPS1)
RLAMBDA=F/(BLCKDR*USTAR)
DO K=KTS,LMH-1
IF(EN2(K)>=0.0)THEN ! Stable case
VKRMZ=(Z(K+1)-Z(LMH+1))*VKARMAN
RLB=RLAMBDA+1./VKRMZ
RLN=SQRT(2.*EN2(K)/Q2(K))/CN
! EL(K)=MIN(1./(RLB+RLN),ELM(K))
EL(K)=1./(RLB+RLN)
ENDIF
ENDDO
!
!----------------------------------------------------------------------
END SUBROUTINE MIXLEN
!----------------------------------------------------------------------
!XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
!----------------------------------------------------------------------
SUBROUTINE PRODQ2 & 4
!----------------------------------------------------------------------
! ******************************************************************
! * *
! * LEVEL 2.5 Q2 PRODUCTION/DISSIPATION *
! * *
! ******************************************************************
!
&(LMH,DTTURBL,USTAR,S2,RI,Q2,EL,Z,AKM,AKH &
&,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(INOUT) :: Q2
!----------------------------------------------------------------------
!***
!*** LOCAL VARIABLES
!***
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 !N**2
!
!*** TURBULENCE PRODUCTION TERM
!
PR=AKML*S2L
!
!*** BUOYANCY PRODUCTION
!
BPR=AKHL*EN2
!
!*** DISSIPATION
!
DIS=CEPS*(0.5*Q2L)**1.5/EL(K)
!
Q2L=Q2L+2.0*(PR-BPR-DIS)*DTTURBL
Q2(K)=AMAX1(Q2L,EPSQ2L)
!----------------------------------------------------------------------
!*** END OF PRODUCTION/DISSIPATION LOOP
!----------------------------------------------------------------------
!
ENDDO main_integration
!
!----------------------------------------------------------------------
!*** LOWER BOUNDARY CONDITION FOR Q2
!----------------------------------------------------------------------
!
Q2(LMH)=AMAX1(RC02*USTAR*USTAR,EPSQ2L)
!----------------------------------------------------------------------
!
END SUBROUTINE PRODQ2
!
!----------------------------------------------------------------------
!XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
!----------------------------------------------------------------------
SUBROUTINE DIFCOF & 4
! ******************************************************************
! * *
! * DIFFUSION COEFFICIENTS KM, KH BASED ON THE QNSE THEORY *
! * *
! ******************************************************************
&(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) ! 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
!
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
!----------------------------------------------------------------------
!***
!*** LOCAL VARIABLES
!***
INTEGER :: K
!
REAL :: AK0,ALPHAM,ALPHAH,RIL,RIL2,ARIL,ARIL2,ARIL4,ELL,Q1L,RDZ &
& ,AK0DZ,AKMIN
!
!*** Begin debugging
INTEGER,INTENT(IN) :: PRINT_DIAG
! REAL :: D2Tmin
!*** End debugging
!
!----------------------------------------------------------------------
!**********************************************************************
!----------------------------------------------------------------------
!
DO K=1,LMH-1
ELL=EL(K)
Q1L=SQRT(0.5*Q2(K)) !Note that Q1L is SQRT(TKE)
RIL=RI(K)
AK0=C0*ELL*Q1L !KM in neutral case
!
!----------------------------------------------------------------------
!*** STABILITY FUNCTIONS ALPHAM AND ALPHAH
!----------------------------------------------------------------------
!
!!! UNSTABLE CASE
!
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
!
!!! STABLE CASE
!
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
!
!-----------------------------------------------------------------------
!*** END OF STABILITY FUNCTIONS COMPUTATIONS
!-----------------------------------------------------------------------
!
!----------------------------------------------------------------------
!*** DIFFUSION COEFFICIENTS
!----------------------------------------------------------------------
!
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
!
!----------------------------------------------------------------------
!XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
!----------------------------------------------------------------------
SUBROUTINE VDIFQ & 4
! ******************************************************************
! * *
! * VERTICAL DIFFUSION OF Q2 (TKE) *
! * *
! ******************************************************************
&(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
!----------------------------------------------------------------------
!***
!*** LOCAL VARIABLES
!***
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
!----------------------------------------------------------------------
!**********************************************************************
!----------------------------------------------------------------------
!***
!*** VERTICAL TURBULENT DIFFUSION
!***
!----------------------------------------------------------------------
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
!
!----------------------------------------------------------------------
!XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
!---------------------------------------------------------------------
SUBROUTINE VDIFH(DTDIF,LMH,THZ0,QZ0,RKHS,CHKLOWQ,CT & 4
& ,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)
! ***************************************************************
! * *
! * VERTICAL DIFFUSION OF MASS VARIABLES *
! * *
! ***************************************************************
!---------------------------------------------------------------------
!
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
!
!----------------------------------------------------------------------
!***
!*** LOCAL VARIABLES
!***
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
!
!---------------------------------------------------------------------
!XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
!---------------------------------------------------------------------
SUBROUTINE VDIFV(LMH,DTDIF,UZ0,VZ0,RKMS,U,V,RKM,Z,RHO & 4
& ,IDS,IDE,JDS,JDE,KDS,KDE &
& ,IMS,IME,JMS,JME,KMS,KME &
,ITS,ITE,JTS,JTE,KTS,KTE,I,J)
! ***************************************************************
! * *
! * VERTICAL DIFFUSION OF VELOCITY COMPONENTS *
! * *
! ***************************************************************
!---------------------------------------------------------------------
!
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
!----------------------------------------------------------------------
!***
!*** LOCAL VARIABLES
!***
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 QNSEPBLINIT09(RUBLTEN,RVBLTEN,RTHBLTEN,RQVBLTEN, & 1
& 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 QNSEPBLINIT09
!-----------------------------------------------------------------------
!
END MODULE MODULE_BL_QNSEPBL09
!
!-----------------------------------------------------------------------