!---------------------------------------------------------------------- ! MODULE MODULE_SF_QNSESFC ! !---------------------------------------------------------------------- ! USE MODULE_MODEL_CONSTANTS USE MODULE_DM, ONLY : WRF_DM_MAXVAL ! !---------------------------------------------------------------------- ! ! REFERENCES: Janjic (2002), NCEP Office Note 437 ! ! ABSTRACT: ! MYJSFC GENERATES THE SURFACE EXCHANGE COEFFICIENTS FOR VERTICAL ! TURBULENT EXCHANGE BASED UPON MONIN_OBUKHOV THEORY WITH ! VARIOUS REFINEMENTS. ! !---------------------------------------------------------------------- ! INTEGER :: ITRMX=5 ! Iteration count for sfc layer computations ! REAL,PARAMETER :: EPSQ2L=0.01 REAL,PARAMETER :: VKARMAN=0.4 REAL,PARAMETER :: CAPA=R_D/CP,ELOCP=2.72E6/CP,RCAP=1./CAPA REAL,PARAMETER :: GOCP02=G/CP*2.,GOCP10=G/CP*10. ! REAL,PARAMETER :: EPSU2=1.E-4,EPSUST=0.07,EPSZT=1.E-5 ! ECMWF sets lower limit on ln(Z0h)=-20 --> EPSZT=2.E-9 REAL,PARAMETER :: EPSU2=1.E-6,EPSUST=1.E-9,EPSZT=1.E-28 REAL,PARAMETER :: A2S=17.2693882,A3S=273.16,A4S=35.86 REAL,PARAMETER :: SEAFC=0.98,PQ0SEA=PQ0*SEAFC REAL,PARAMETER :: BETA=1./273.,CZIL=0.1,EXCML=0.0001,EXCMS=0.0001 & !old REAL,PARAMETER :: BETA=1./273.,CZIL=0.1,EXCML=0.001,EXCMS=0.001 & & ,GLKBR=10.,GLKBS=30.,PI=3.1415926 & & ,QVISC=2.1E-5,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,FH=1.01 & & ,WWST=1.2,ZTFC=0.1,TOPOFAC=9.0E-6 ! REAL,PARAMETER :: BTG=BETA*G,CZIV=SMALL*GLKBS & & ,GRRS=GLKBR/GLKBS & & ,RTVISC=1./TVISC,RVISC=1./VISC & & ,ZQRZT=SQSC/SQPR & & ,FZQ1=RTVISC*QVISC*ZQRZT & & ,FZQ2=RTVISC*QVISC*ZQRZT & & ,FZT1=RVISC *TVISC*SQPR & & ,FZT2=CZIV*GRRS*TVISC*SQPR & & ,FZU1=CZIV*VISC & & ,PIHF=0.5*PI & & ,PRT0=0.72 & & ,RQVISC=1./QVISC & & ,USTFC=0.018/G & & ,WWST2=WWST*WWST & & ,ZILFC=-CZIL*VKARMAN*SQVISC ! !---------------------------------------------------------------------- INTEGER, PARAMETER :: KZTM=10001,KZTM2=KZTM-2 ! REAL :: DZETA1,DZETA2,FH01,FH02,ZTMAX1,ZTMAX2,ZTMIN1,ZTMIN2 ! REAL,DIMENSION(KZTM) :: PSIH1,PSIH2,PSIM1,PSIM2 ! !---------------------------------------------------------------------- ! CONTAINS ! !---------------------------------------------------------------------- SUBROUTINE QNSESFC(ITIMESTEP,HT,DZ & & ,PMID,PINT,TH,T,QV,QC,U,V,Q2 & & ,TSK,QSFC,THZ0,QZ0,UZ0,VZ0 & & ,LOWLYR,XLAND & & ,USTAR,ZNT,Z0BASE,PBLH,MAVAIL,RMOL & & ,AKHS,AKMS & & ,RIB & & ,CHS,CHS2,CQS2,HFX,QFX,FLX_LH,FLHC,FLQC & & ,QGH,CPM,CT & & ,U10,V10,T02,TH02,TSHLTR,TH10,Q02,QSHLTR,Q10,PSHLTR & & ,U10E,V10E & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE,SCM_FORCE_FLUX ) !---------------------------------------------------------------------- ! 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) :: ITIMESTEP ! INTEGER,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: LOWLYR ! REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: HT,MAVAIL,TSK & & ,XLAND,Z0BASE ! REAL,DIMENSION(IMS:IME,KMS:KME,JMS:JME),INTENT(IN) :: DZ & & ,PMID,PINT & & ,Q2,QC,QV & & ,T,TH & & ,U,V ! REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(OUT) :: PSHLTR,Q10,QSHLTR & & ,TH10,TSHLTR,T02 & & ,U10,V10,TH02,Q02 REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(OUT) :: U10E,V10E REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: FLX_LH,HFX,QFX ! REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: AKHS,AKMS & & ,PBLH,QSFC REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(OUT) :: RIB ! REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: QZ0,RMOL,THZ0 & & ,USTAR,UZ0,VZ0 & & ,ZNT ! REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(OUT) :: CHS,CHS2,CQS2 & & ,CPM,CT,FLHC,FLQC & & ,QGH INTEGER, OPTIONAL, INTENT(IN ) :: SCM_FORCE_FLUX ! JP !---------------------------------------------------------------------- !*** !*** LOCAL VARIABLES !*** INTEGER :: I,J,K,KFLIP,LMH,LPBL,NTSD ! REAL :: A,APESFC,B,BTGX,CWMLOW & & ,DQDT,DTDIF,DTDT,DUDT,DVDT & & ,FIS & & ,P02P,P10P,PLOW,PSFC,PTOP,QLOW,QS02,QS10 & & ,RAPA,RAPA02,RAPA10,RATIOMX,RDZ,SEAMASK,SM & & ,T02P,T10P,TEM,TH02P,TH10P,THLOW,THELOW,THM & & ,TLOW,TZ0,ULOW,VLOW,ZSL ! REAL,DIMENSION(KTS:KTE) :: CWMK,PK,Q2K,QK,THEK,THK,TK,UK,VK ! REAL,DIMENSION(KTS:KTE-1) :: EL,ELM ! REAL,DIMENSION(KTS:KTE+1) :: ZHK ! REAL,DIMENSION(ITS:ITE,JTS:JTE) :: THSK ! REAL,DIMENSION(ITS:ITE,KTS:KTE+1,JTS:JTE) :: ZINT ! !---------------------------------------------------------------------- !********************************************************************** !---------------------------------------------------------------------- ! !*** MAKE PREPARATIONS ! !---------------------------------------------------------------------- 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 PBLH(I,J)=-1. ! !!!!!!!!! !!!!!! 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) ENDDO ENDDO ENDDO ! NTSD=ITIMESTEP ! IF(NTSD==1)THEN DO J=JTS,JTE DO I=ITS,ITE USTAR(I,J)=0.1 FIS=HT(I,J)*G SM=XLAND(I,J)-1. !!! Z0(I,J)=SM*Z0SEA+(1.-SM)*(Z0(I,J)*Z0MAX+FIS*FCM+Z0LAND) !!! ZNT(I,J)=SM*Z0SEA+(1.-SM)*(ZNT(I,J)*Z0MAX+FIS*FCM+Z0LAND) ENDDO ENDDO ENDIF ! !!!! IF(NTSD==1)THEN DO J=JTS,JTE DO I=ITS,ITE CT(I,J)=0. ENDDO ENDDO !!!! ENDIF ! !---------------------------------------------------------------------- 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) ! Define THSK here (for first timestep mostly) THSK(I,J)=TSK(I,J)/(PSFC*1.E-5)**CAPA ! !*** 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 THK(K)=TH(I,KFLIP,J) TK(K)=T(I,KFLIP,J) RATIOMX=QV(I,KFLIP,J) QK(K)=RATIOMX/(1.+RATIOMX) PK(K)=PMID(I,KFLIP,J) CWMK(K)=QC(I,KFLIP,J) THEK(K)=(CWMK(K)*(-ELOCP/TK(K))+1.)*THK(K) Q2K(K)=2.*Q2(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 ! DO K=KTE,KTS,-1 KFLIP=KTE+1-K UK(K)=U(I,KFLIP,J) VK(K)=V(I,KFLIP,J) ENDDO ! !*** FIND THE HEIGHT OF THE PBL ! LPBL=LMH DO K=LMH-1,1,-1 IF(Q2K(K)<=EPSQ2L*FH) THEN LPBL=K GO TO 110 ENDIF ENDDO ! LPBL=1 ! !----------------------------------------------------------------------- !--------------THE HEIGHT OF THE PBL------------------------------------ !----------------------------------------------------------------------- ! 110 PBLH(I,J)=ZHK(LPBL)-ZHK(LMH+1) ! !---------------------------------------------------------------------- !*** !*** FIND THE SURFACE EXCHANGE COEFFICIENTS !*** !---------------------------------------------------------------------- PLOW=PK(LMH) TLOW=TK(LMH) THLOW=THK(LMH) THELOW=THEK(LMH) QLOW=QK(LMH) CWMLOW=CWMK(LMH) ULOW=UK(LMH) VLOW=VK(LMH) ZSL=(ZHK(LMH)-ZHK(LMH+1))*0.5 APESFC=(PSFC*1.E-5)**CAPA TZ0=THZ0(I,J)*APESFC ! CALL SFCDIF(NTSD,SEAMASK,THSK(I,J),QSFC(I,J),PSFC & & ,UZ0(I,J),VZ0(I,J),TZ0,THZ0(I,J),QZ0(I,J) & & ,USTAR(I,J),ZNT(I,J),Z0BASE(I,J),CT(I,J),RMOL(I,J) & & ,AKMS(I,J),AKHS(I,J),RIB(I,J),PBLH(I,J),MAVAIL(I,J) & & ,CHS(I,J),CHS2(I,J),CQS2(I,J) & & ,HFX(I,J),QFX(I,J),FLX_LH(I,J) & & ,FLHC(I,J),FLQC(I,J),QGH(I,J),CPM(I,J) & & ,ULOW,VLOW,TLOW,THLOW,THELOW,QLOW,CWMLOW & & ,ZSL,PLOW & & ,U10(I,J),V10(I,J),TSHLTR(I,J),TH10(I,J) & & ,QSHLTR(I,J),Q10(I,J),PSHLTR(I,J) & & ,U10E(I,J),V10E(I,J) & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE,i,j,ZHK(LMH+1) & & ,SCM_FORCE_FLUX) ! !*** REMOVE SUPERATURATION AT 2M AND 10M ! RAPA=APESFC TH02P=TSHLTR(I,J) TH10P=TH10(I,J) TH02(I,J)=TSHLTR(I,J) !emt IF (SEAMASK.EQ.1.AND.I.EQ.170.AND.J.EQ.20) THEN print*,'HFX_SEA_point',HFX(I,J) END IF ! RAPA02=RAPA-GOCP02/TH02P RAPA10=RAPA-GOCP10/TH10P ! T02P=TH02P*RAPA02 T10P=TH10P*RAPA10 T02(I,J) = TH02(I,J)*APESFC !emt ! P02P=(RAPA02**RCAP)*1.E5 P10P=(RAPA10**RCAP)*1.E5 ! QS02=PQ0/P02P*EXP(A2*(T02P-A3)/(T02P-A4)) QS10=PQ0/P10P*EXP(A2*(T10P-A3)/(T10P-A4)) ! IF(QSHLTR(I,J)>QS02)QSHLTR(I,J)=QS02 IF(Q10 (I,J)>QS10)Q10 (I,J)=QS10 Q02(I,J)=QSHLTR(I,J)/(1.-QSHLTR(I,J)) !emt !---------------------------------------------------------------------- ! ENDDO ! !---------------------------------------------------------------------- ENDDO setup_integration !---------------------------------------------------------------------- END SUBROUTINE QNSESFC !XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX !---------------------------------------------------------------------- SUBROUTINE SFCDIF(NTSD,SEAMASK,THS,QS,PSFC & & ,UZ0,VZ0,TZ0,THZ0,QZ0 & & ,USTAR,Z0,Z0BASE,CT,RLMO,AKMS,AKHS,RIB,PBLH,WETM & & ,CHS,CHS2,CQS2,HFX,QFX,FLX_LH,FLHC,FLQC,QGH,CPM & & ,ULOW,VLOW,TLOW,THLOW,THELOW,QLOW,CWMLOW & & ,ZSL,PLOW & & ,U10,V10,TH02,TH10,Q02,Q10,PSHLTR & & ,U10E,V10E & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE,i,j,ZSFC,SCM_FORCE_FLUX) ! **************************************************************** ! * * ! * SURFACE LAYER * ! * * ! **************************************************************** !---------------------------------------------------------------------- ! 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) :: NTSD ! REAL,INTENT(IN) :: CWMLOW,PBLH,PLOW,QLOW,PSFC,SEAMASK,ZSFC & & ,THELOW,THLOW,THS,TLOW,ULOW,VLOW,WETM,ZSL & & ,Z0BASE ! REAL,INTENT(OUT) :: CHS,CHS2,CPM,CQS2,CT,FLHC,FLQC, & & PSHLTR,Q02,Q10,QGH,RIB,RLMO,TH02,TH10,U10,V10 REAL,INTENT(OUT) :: U10E,V10E ! REAL,INTENT(INOUT) :: FLX_LH,HFX,QFX ! REAL,INTENT(INOUT) :: AKHS,AKMS,QZ0,THZ0,USTAR,UZ0,VZ0,Z0,QS,TZ0 INTEGER, OPTIONAL, INTENT(IN ) :: SCM_FORCE_FLUX !---------------------------------------------------------------------- !*** !*** LOCAL VARIABLES !*** INTEGER :: ITR,K ! REAL :: A,B,BTGH,BTGX,CXCHL,CXCHS,DTHV,DU2,ELFC,FCT & & ,HLFLX,HSFLX,HV,PSH02,PSH10,PSHZ,PSHZL,PSM10,PSMZ,PSMZL & & ,RDZ,RDZT,RLMA,RLMN,RLMP & & ,RLOGT,RLOGU,RWGH,RZ,RZST,RZSU,SIMH,SIMM,TEM,THM & & ,UMFLX,USTARK,VMFLX,WGHT,WGHTT,WGHTQ,WSTAR2 & & ,X,XLT,XLT4,XLU,XLU4,XT,XT4,XU,XU4,ZETALT,ZETALU & & ,ZETAT,ZETAU,ZQ,ZSLT,ZSLU,ZT,ZU,TOPOTERM,ZZIL ! !*** DIAGNOSTICS ! REAL :: AKHS02,AKHS10,AKMS02,AKMS10,EKMS10,QSAT10,QSAT2 & & ,RLNT02,RLNT10,RLNU10,SIMH02,SIMH10,SIMM10,T02,T10 & & ,TERM1,RLOW,WSTAR,XLT02,XLT024,XLT10 & & ,XLT104,XLU10,XLU104,XU10,XU104,ZT02,ZT10,ZTAT02,ZTAT10 & & ,ZTAU,ZTAU10,ZU10,ZUUZ !---------------------------------------------------------------------- !********************************************************************** !---------------------------------------------------------------------- RDZ=1./ZSL CXCHL=EXCML*RDZ CXCHS=EXCMS*RDZ ! BTGX=G/THLOW ELFC=VKARMAN*BTGX ! IF(PBLH>1000.)THEN BTGH=BTGX*PBLH ELSE BTGH=BTGX*1000. ENDIF RLOW=PLOW/(R_D*TLOW) ! !---------------------------------------------------------------------- ! !*** SEA POINTS ! !---------------------------------------------------------------------- ! IF(SEAMASK>0.5)THEN ! !---------------------------------------------------------------------- DO ITR=1,ITRMX !---------------------------------------------------------------------- Z0=MAX(USTFC*USTAR*USTAR,1.59E-5) ! !*** VISCOUS SUBLAYER, JANJIC MWR 1994 ! !---------------------------------------------------------------------- IF(USTAR1)THEN THZ0=((WGHTT*THLOW+THS)/(WGHTT+1.)+THZ0)*0.5 QZ0=((WGHTQ*QLOW+QS)/(WGHTQ+1.)+QZ0)*0.5 ELSE THZ0=(WGHTT*THLOW+THS)/(WGHTT+1.) QZ0=(WGHTQ*QLOW+QS)/(WGHTQ+1.) ENDIF ! ENDIF ! IF(USTAR>=USTR.AND.USTAR1)THEN THZ0=((WGHTT*THLOW+THS)/(WGHTT+1.)+THZ0)*0.5 QZ0=((WGHTQ*QLOW+QS)/(WGHTQ+1.)+QZ0)*0.5 ELSE THZ0=(WGHTT*THLOW+THS)/(WGHTT+1.) QZ0=(WGHTQ*QLOW+QS)/(WGHTQ+1.) ENDIF ! ENDIF !---------------------------------------------------------------------- ELSE !---------------------------------------------------------------------- ZU=Z0 UZ0=0. VZ0=0. ! ZT=Z0 THZ0=THS ! ZQ=Z0 QZ0=QS !---------------------------------------------------------------------- ENDIF !---------------------------------------------------------------------- TEM=(TLOW+TZ0)*0.5 THM=(THELOW+THZ0)*0.5 ! A=THM*P608 B=(ELOCP/TEM-1.-P608)*THM ! DTHV=((THELOW-THZ0)*((QLOW+QZ0+CWMLOW)*(0.5*P608)+1.) & & +(QLOW-QZ0+CWMLOW)*A+CWMLOW*B) ! DU2=MAX((ULOW-UZ0)**2+(VLOW-VZ0)**2,EPSU2) RIB=BTGX*DTHV*ZSL/DU2 !---------------------------------------------------------------------- ! IF(RIB>=RIC)THEN !---------------------------------------------------------------------- ! AKMS=MAX( VISC*RDZ,CXCHS) ! AKHS=MAX(TVISC*RDZ,CXCHS) !---------------------------------------------------------------------- ! ELSE ! turbulent branch !---------------------------------------------------------------------- ZSLU=ZSL+ZU ZSLT=ZSL+ZT ! RZSU=ZSLU/ZU RZST=ZSLT/ZT ! RLOGU=LOG(RZSU) RLOGT=LOG(RZST) ! !---------------------------------------------------------------------- !*** 1./MONIN-OBUKHOV LENGTH !---------------------------------------------------------------------- ! RLMO=ELFC*AKHS*DTHV/USTAR**3 ! ZETALU=ZSLU*RLMO ZETALT=ZSLT*RLMO ZETAU=ZU*RLMO ZETAT=ZT*RLMO ! ZETALU=MIN(MAX(ZETALU,ZTMIN1),ZTMAX1) ZETALT=MIN(MAX(ZETALT,ZTMIN1),ZTMAX1) ZETAU=MIN(MAX(ZETAU,ZTMIN1/RZSU),ZTMAX1/RZSU) ZETAT=MIN(MAX(ZETAT,ZTMIN1/RZST),ZTMAX1/RZST) ! !---------------------------------------------------------------------- !*** WATER FUNCTIONS !---------------------------------------------------------------------- ! RZ=(ZETAU-ZTMIN1)/DZETA1 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSMZ=(PSIM1(K+2)-PSIM1(K+1))*RDZT+PSIM1(K+1) !Interpolation from the table ! RZ=(ZETALU-ZTMIN1)/DZETA1 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSMZL=(PSIM1(K+2)-PSIM1(K+1))*RDZT+PSIM1(K+1) ! SIMM=PSMZL-PSMZ+RLOGU ! RZ=(ZETAT-ZTMIN1)/DZETA1 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSHZ=(PSIH1(K+2)-PSIH1(K+1))*RDZT+PSIH1(K+1) ! RZ=(ZETALT-ZTMIN1)/DZETA1 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSHZL=(PSIH1(K+2)-PSIH1(K+1))*RDZT+PSIH1(K+1) ! SIMH=(PSHZL-PSHZ+RLOGT)*PRT0 ! SIMH=(PSHZL-PSHZ+RLOGT)*FH01 !---------------------------------------------------------------------- USTARK=USTAR*VKARMAN AKMS=MAX(USTARK/SIMM,CXCHS) AKHS=MAX(USTARK/SIMH,CXCHS) ! !---------------------------------------------------------------------- !*** BELJAARS CORRECTION FOR USTAR (FOR CONVECTION) !---------------------------------------------------------------------- ! IF(DTHV<=0.)THEN !zj WSTAR2=WWST2*ABS(BTGH*AKHS*DTHV)**(2./3.) !zj ELSE !zj WSTAR2=0. !zj ENDIF !zj USTAR=MAX(SQRT(AKMS*SQRT(DU2+WSTAR2)),EPSUST) ! !---------------------------------------------------------------------- ! ENDIF ! End of turbulent branch !---------------------------------------------------------------------- ! ENDDO ! End of the iteration loop over sea points ! !---------------------------------------------------------------------- ! !*** LAND POINTS ! !---------------------------------------------------------------------- ! ELSE ! !---------------------------------------------------------------------- IF(NTSD==1)THEN QS=QLOW ENDIF ! ZU=Z0 UZ0=0. VZ0=0. ! ZT=ZU*ZTFC THZ0=THS ! RLOW=PLOW/(R_D*TLOW) ! ZQ=ZT QZ0=QS !---------------------------------------------------------------------- TEM=(TLOW+TZ0)*0.5 THM=(THELOW+THZ0)*0.5 ! A=THM*P608 B=(ELOCP/TEM-1.-P608)*THM ! DTHV=((THELOW-THZ0)*((QLOW+QZ0+CWMLOW)*(0.5*P608)+1.) & & +(QLOW-QZ0+CWMLOW)*A+CWMLOW*B) ! DU2=MAX((ULOW-UZ0)**2+(VLOW-VZ0)**2,EPSU2) RIB=BTGX*DTHV*ZSL/DU2 !---------------------------------------------------------------------- ! IF(RIB>=RIC)THEN ! AKMS=MAX( VISC*RDZ,CXCHL) ! AKHS=MAX(TVISC*RDZ,CXCHL) !---------------------------------------------------------------------- ! ELSE ! Turbulent branch !---------------------------------------------------------------------- ZSLU=ZSL+ZU ! RZSU=ZSLU/ZU ! RLOGU=LOG(RZSU) ZSLT=ZSL+ZU ! u,v and t are at the same level !---------------------------------------------------------------------- ! !mp Topo modification of ZILFC term ! TOPOTERM=TOPOFAC*ZSFC**2. TOPOTERM=MAX(TOPOTERM,3.0) ! IF(DTHV>0.)THEN ZZIL=ZILFC*TOPOTERM ELSE ZZIL=ZILFC ENDIF ! !---------------------------------------------------------------------- ! land_point_iteration: DO ITR=1,ITRMX ! !---------------------------------------------------------------------- !*** ZILITINKEVITCH FIX FOR ZT !---------------------------------------------------------------------- ! ! oldform ZT=MAX(EXP(ZZIL*SQRT(USTAR*ZU))*ZU,EPSZT) ZT=MAX(EXP(ZZIL*SQRT(USTAR*Z0BASE))*Z0BASE,EPSZT) ZT=MAX(ZT,ZU*ZTFC) !Quick fix by S. Sukoriansky ! RZST=ZSLT/ZT RLOGT=LOG(RZST) ! !---------------------------------------------------------------------- !*** 1./MONIN-OBUKHOV LENGTH-SCALE !---------------------------------------------------------------------- ! RLMO=ELFC*AKHS*DTHV/USTAR**3 ZETALU=ZSLU*RLMO ZETALT=ZSLT*RLMO ZETAU=ZU*RLMO ZETAT=ZT*RLMO ! ZETALU=MIN(MAX(ZETALU,ZTMIN2),ZTMAX2) ZETALT=MIN(MAX(ZETALT,ZTMIN2),ZTMAX2) ZETAU=MIN(MAX(ZETAU,ZTMIN2/RZSU),ZTMAX2/RZSU) ZETAT=MIN(MAX(ZETAT,ZTMIN2/RZST),ZTMAX2/RZST) ! !---------------------------------------------------------------------- !*** LAND FUNCTIONS !---------------------------------------------------------------------- ! RZ=(ZETAU-ZTMIN2)/DZETA2 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSMZ=(PSIM2(K+2)-PSIM2(K+1))*RDZT+PSIM2(K+1) ! RZ=(ZETALU-ZTMIN2)/DZETA2 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSMZL=(PSIM2(K+2)-PSIM2(K+1))*RDZT+PSIM2(K+1) ! SIMM=PSMZL-PSMZ+RLOGU ! RZ=(ZETAT-ZTMIN2)/DZETA2 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSHZ=(PSIH2(K+2)-PSIH2(K+1))*RDZT+PSIH2(K+1) ! RZ=(ZETALT-ZTMIN2)/DZETA2 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSHZL=(PSIH2(K+2)-PSIH2(K+1))*RDZT+PSIH2(K+1) ! SIMH=(PSHZL-PSHZ+RLOGT)*PRT0 ! SIMH=(PSHZL-PSHZ+RLOGT)*FH02 !---------------------------------------------------------------------- USTARK=USTAR*VKARMAN AKMS=MAX(USTARK/SIMM,CXCHL) AKHS=MAX(USTARK/SIMH,CXCHL) THZ0=HFX/(AKHS*RLOW*CP)+THLOW TZ0=(PSFC*1.E-5)**CAPA*THZ0 ! !---------------------------------------------------------------------- !*** BELJAARS CORRECTION FOR USTAR !---------------------------------------------------------------------- ! IF(DTHV<=0.)THEN !zj WSTAR2=WWST2*ABS(BTGH*AKHS*DTHV)**(2./3.) !zj ELSE !zj WSTAR2=0. !zj ENDIF !zj ! USTAR=MAX(SQRT(AKMS*SQRT(DU2+WSTAR2)),EPSUST) ! !---------------------------------------------------------------------- ENDDO land_point_iteration !---------------------------------------------------------------------- ! ! ENDIF ! End of turbulant branch over land ! !---------------------------------------------------------------------- ! ENDIF ! End of land/sea branch ! !---------------------------------------------------------------------- !*** COUNTERGRADIENT FIX !---------------------------------------------------------------------- ! ! HV=-AKHS*DTHV ! IF(HV>0.)THEN ! FCT=-10.*(BTGX)**(-1./3.) ! CT=FCT*(HV/(PBLH*PBLH))**(2./3.) ! ELSE CT=0. ! ENDIF ! !---------------------------------------------------------------------- !---------------------------------------------------------------------- !*** THE FOLLOWING DIAGNOSTIC BLOCK PRODUCES 2-m and 10-m VALUES !*** FOR TEMPERATURE, MOISTURE, AND WINDS. IT IS DONE HERE SINCE !*** THE VARIOUS QUANTITIES NEEDED FOR THE COMPUTATION ARE LOST !*** UPON EXIT FROM THE ROTUINE. !---------------------------------------------------------------------- !---------------------------------------------------------------------- ! WSTAR=SQRT(WSTAR2)/WWST ! UMFLX=AKMS*(ULOW -UZ0 ) VMFLX=AKMS*(VLOW -VZ0 ) HSFLX=AKHS*(THLOW-THZ0) HLFLX=AKHS*(QLOW -QZ0 ) !---------------------------------------------------------------------- ! IF(RIB>=RIC)THEN !---------------------------------------------------------------------- ! IF(SEAMASK>0.5)THEN ! AKMS10=MAX( VISC/10.,CXCHS) ! AKHS02=MAX(TVISC/02.,CXCHS) ! AKHS10=MAX(TVISC/10.,CXCHS) ! ELSE ! AKMS10=MAX( VISC/10.,CXCHL) ! AKHS02=MAX(TVISC/02.,CXCHL) ! AKHS10=MAX(TVISC/10.,CXCHL) ! ENDIF !---------------------------------------------------------------------- ! ELSE !---------------------------------------------------------------------- ZU10=ZU+10. ZT02=ZT+02. ZT10=ZT+10. ! RLNU10=LOG(ZU10/ZU) RLNT02=LOG(ZT02/ZT) RLNT10=LOG(ZT10/ZT) ! ZTAU10=ZU10*RLMO ZTAT02=ZT02*RLMO ZTAT10=ZT10*RLMO ! !---------------------------------------------------------------------- !*** SEA !---------------------------------------------------------------------- ! IF(SEAMASK>0.5)THEN ! !---------------------------------------------------------------------- ZTAU10=MIN(MAX(ZTAU10,ZTMIN1),ZTMAX1) ZTAT02=MIN(MAX(ZTAT02,ZTMIN1),ZTMAX1) ZTAT10=MIN(MAX(ZTAT10,ZTMIN1),ZTMAX1) !---------------------------------------------------------------------- RZ=(ZTAU10-ZTMIN1)/DZETA1 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSM10=(PSIM1(K+2)-PSIM1(K+1))*RDZT+PSIM1(K+1) ! SIMM10=PSM10-PSMZ+RLNU10 ! RZ=(ZTAT02-ZTMIN1)/DZETA1 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSH02=(PSIH1(K+2)-PSIH1(K+1))*RDZT+PSIH1(K+1) ! SIMH02=(PSH02-PSHZ+RLNT02)*PRT0 ! SIMH02=(PSH02-PSHZ+RLNT02)*FH01 ! RZ=(ZTAT10-ZTMIN1)/DZETA1 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSH10=(PSIH1(K+2)-PSIH1(K+1))*RDZT+PSIH1(K+1) ! SIMH10=(PSH10-PSHZ+RLNT10)*PRT0 ! SIMH10=(PSH10-PSHZ+RLNT10)*FH01 ! AKMS10=MAX(USTARK/SIMM10,CXCHS) AKHS02=MAX(USTARK/SIMH02,CXCHS) AKHS10=MAX(USTARK/SIMH10,CXCHS) ! !---------------------------------------------------------------------- !*** LAND !---------------------------------------------------------------------- ! ELSE ! !---------------------------------------------------------------------- ZTAU10=MIN(MAX(ZTAU10,ZTMIN2),ZTMAX2) ZTAT02=MIN(MAX(ZTAT02,ZTMIN2),ZTMAX2) ZTAT10=MIN(MAX(ZTAT10,ZTMIN2),ZTMAX2) !---------------------------------------------------------------------- RZ=(ZTAU10-ZTMIN2)/DZETA2 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSM10=(PSIM2(K+2)-PSIM2(K+1))*RDZT+PSIM2(K+1) ! SIMM10=PSM10-PSMZ+RLNU10 ! RZ=(ZTAT02-ZTMIN2)/DZETA2 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSH02=(PSIH2(K+2)-PSIH2(K+1))*RDZT+PSIH2(K+1) ! SIMH02=(PSH02-PSHZ+RLNT02)*PRT0 ! SIMH02=(PSH02-PSHZ+RLNT02)*FH02 ! RZ=(ZTAT10-ZTMIN2)/DZETA2 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSH10=(PSIH2(K+2)-PSIH2(K+1))*RDZT+PSIH2(K+1) ! SIMH10=(PSH10-PSHZ+RLNT10)*PRT0 ! SIMH10=(PSH10-PSHZ+RLNT10)*FH02 ! AKMS10=MAX(USTARK/SIMM10,CXCHL) AKHS02=MAX(USTARK/SIMH02,CXCHL) AKHS10=MAX(USTARK/SIMH10,CXCHL) !---------------------------------------------------------------------- ENDIF !---------------------------------------------------------------------- ! ENDIF !---------------------------------------------------------------------- U10 =UMFLX/AKMS10+UZ0 V10 =VMFLX/AKMS10+VZ0 TH02=HSFLX/AKHS02+THZ0 TH10=HSFLX/AKHS10+THZ0 Q02 =HLFLX/AKHS02+QZ0 Q10 =HLFLX/AKHS10+QZ0 TERM1=-0.068283/TLOW PSHLTR=PSFC*EXP(TERM1) ! !---------------------------------------------------------------------- !*** COMPUTE "EQUIVALENT" Z0 TO APPROXIMATE LOCAL SHELTER READINGS. !---------------------------------------------------------------------- ! U10E=U10 V10E=V10 ! IF(SEAMASK<0.5)THEN !1st ZUUZ=MIN(0.5*ZU,0.1) !1st ZU=MAX(0.1*ZU,ZUUZ) !tst ZUUZ=amin1(ZU*0.50,0.3) !tst ZU=amax1(ZU*0.3,ZUUZ) ZUUZ=AMIN1(ZU*0.50,0.18) ZU=AMAX1(ZU*0.35,ZUUZ) ! ZU10=ZU+10. RZSU=ZU10/ZU RLNU10=LOG(RZSU) ZETAU=ZU*RLMO ZTAU10=ZU10*RLMO ZTAU10=MIN(MAX(ZTAU10,ZTMIN2),ZTMAX2) ZETAU=MIN(MAX(ZETAU,ZTMIN2/RZSU),ZTMAX2/RZSU) RZ=(ZTAU10-ZTMIN2)/DZETA2 K=INT(RZ) RDZT=RZ-REAL(K) K=MIN(K,KZTM2) K=MAX(K,0) PSM10=(PSIM2(K+2)-PSIM2(K+1))*RDZT+PSIM2(K+1) SIMM10=PSM10-PSMZ+RLNU10 EKMS10=MAX(USTARK/SIMM10,CXCHL) U10E=UMFLX/EKMS10+UZ0 V10E=VMFLX/EKMS10+VZ0 ENDIF ! ! U10=U10E ! V10=V10E ! !---------------------------------------------------------------------- !*** SET OTHER WRF DRIVER ARRAYS !---------------------------------------------------------------------- ! CHS=AKHS CHS2=AKHS02 CQS2=AKHS02 ! IF(SEAMASK.EQ.1) THEN ! print*,'HSFLX=',HSFLX ! print*,'RLOW=',RLOW ! print*,'********' ! END IF IF ( PRESENT(SCM_FORCE_FLUX) ) THEN IF (SCM_FORCE_FLUX.EQ.0) THEN HFX=-RLOW*CP*HSFLX QFX=-RLOW*HLFLX*WETM ENDIF ENDIF FLX_LH=XLV*QFX FLHC=RLOW*CP*AKHS FLQC=RLOW*AKHS*WETM !!! QGH=PQ0/PSHLTR*EXP(A2S*(TSK-A3S)/(TSK-A4S)) QGH=((1.-SEAMASK)*PQ0+SEAMASK*PQ0SEA) & & /PLOW*EXP(A2S*(TLOW-A3S)/(TLOW-A4S)) QGH=QGH/(1.-QGH) !Convert to mixing ratio CPM=CP*(1.+0.8*QLOW) ! !*** DO NOT COMPUTE QS OVER LAND POINTS HERE SINCE IT IS !*** A PROGNOSTIC VARIABLE THERE. IT IS OKAY TO USE IT !*** AS A DIAGNOSTIC OVER WATER SINCE IT WILL CAUSE NO !*** INTERFERENCE BEFORE BEING RECOMPUTED IN MYJPBL. ! IF(SEAMASK>0.5)THEN QS=QLOW+QFX/(RLOW*AKHS) QS=QS/(1.-QS) ENDIF !---------------------------------------------------------------------- ! END SUBROUTINE SFCDIF ! !---------------------------------------------------------------------- SUBROUTINE QNSESFCINIT(LOWLYR,USTAR,Z0 & & ,SEAMASK,XICE,IVGTYP,RESTART & & ,ALLOWED_TO_READ & & ,IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE) !---------------------------------------------------------------------- IMPLICIT NONE !---------------------------------------------------------------------- LOGICAL,INTENT(IN) :: RESTART,ALLOWED_TO_READ ! INTEGER,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE & & ,IMS,IME,JMS,JME,KMS,KME & & ,ITS,ITE,JTS,JTE,KTS,KTE ! INTEGER,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: IVGTYP ! INTEGER,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: LOWLYR ! REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: SEAMASK,XICE ! REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: USTAR,Z0 ! REAL,DIMENSION(0:30) :: VZ0TBL REAL,DIMENSION(0:30) :: VZ0TBL_24 ! INTEGER :: I,IDUM,IRECV,J,JDUM,K,ITF,JTF,KTF,MAXGBL_IVGTYP & &, MAXLOC_IVGTYP,MPI_COMM_COMP ! ! INTEGER :: MPI_INTEGER,MPI_MAX ! REAL :: SM,X,ZETA1,ZETA2,ZRNG1,ZRNG2,PSIMQ,PSIHQ ! REAL :: PIHF=3.1415926/2.,EPS=1.E-6 !---------------------------------------------------------------------- VZ0TBL= & & (/0., & & 2.653,0.826,0.563,1.089,0.854,0.856,0.035,0.238,0.065,0.076 & & ,0.011,0.035,0.011,0.000,0.000,0.000,0.000,0.000,0.000,0.000 & & ,0.000,0.000,0.000,0.000,0.000,0.000,0.000,0.000,0.000,0.000/) VZ0TBL_24= (/0., & & 1.00, 0.07, 0.07, 0.07, 0.07, 0.15, & & 0.08, 0.03, 0.05, 0.86, 0.80, 0.85, & & 2.65, 1.09, 0.80, 0.001, 0.04, 0.05, & & 0.01, 0.04, 0.06, 0.05, 0.03, 0.001, & & 0.000, 0.000, 0.000, 0.000, 0.000, 0.000/) !---------------------------------------------------------------------- ! JTF=MIN0(JTE,JDE-1) KTF=MIN0(KTE,KDE-1) ITF=MIN0(ITE,IDE-1) ! ! !*** FOR NOW, ASSUME SIGMA MODE FOR LOWEST MODEL LAYER ! DO J=JTS,JTF DO I=ITS,ITF LOWLYR(I,J)=1 ! USTAR(I,J)=EPSUST ENDDO ENDDO !---------------------------------------------------------------------- #if (NMM_CORE == 1) ! IF(.NOT.RESTART)THEN ! CALL WRF_GET_DM_COMMUNICATOR(MPI_COMM_COMP) ! MAXLOC_IVGTYP=MAXVAL(IVGTYP) ! CALL MPI_ALLREDUCE(MAXLOC_IVGTYP,MAXGBL_IVGTYP,1,MPI_INTEGER & ! &, MPI_MAX,MPI_COMM_COMP,IRECV) MAXGBL_IVGTYP=MAXVAL(IVGTYP) #ifdef DM_PARALLEL CALL WRF_DM_MAXVAL(MAXGBL_IVGTYP,IDUM,JDUM) #endif ! IF (MAXGBL_IVGTYP<13) THEN DO J=JTS,JTE DO I=ITS,ITE SM=SEAMASK(I,J)-1. IF(SM+XICE(I,J)<0.5)THEN Z0(I,J)=VZ0TBL(IVGTYP(I,J)) ENDIF ENDDO ENDDO ! ELSE ! DO J=JTS,JTE DO I=ITS,ITE SM=SEAMASK(I,J)-1. IF(SM+XICE(I,J)<0.5)THEN Z0(I,J)=VZ0TBL_24(IVGTYP(I,J)) ENDIF ENDDO ENDDO ! ENDIF ! Vegtype check ! ENDIF ! Restart check #endif !---------------------------------------------------------------------- IF(.NOT.RESTART)THEN DO J=JTS,JTE DO I=ITS,ITF USTAR(I,J)=0.1 ENDDO ENDDO ENDIF !---------------------------------------------------------------------- ! !*** COMPUTE SURFACE LAYER INTEGRAL FUNCTIONS ! !---------------------------------------------------------------------- FH01=1. FH02=1. ! ! ZTMIN1=-10.0 ! ZTMAX1=2.0 ! ZTMIN2=-10.0 ! ZTMAX2=2.0 ZTMIN1=-5.0 ! ZTMAX1=3.0 ZTMAX1=2.3 ! changed ZTMIN2=-5.0 ! ZTMAX2=3.0 ZTMAX2=2.3 ! changed ! ZRNG1=ZTMAX1-ZTMIN1 ZRNG2=ZTMAX2-ZTMIN2 ! DZETA1=ZRNG1/(KZTM-1) DZETA2=ZRNG2/(KZTM-1) ! !---------------------------------------------------------------------- !*** FUNCTION DEFINITION LOOP !---------------------------------------------------------------------- ! ZETA1=ZTMIN1 ZETA2=ZTMIN2 ! DO K=1,KZTM ! !---------------------------------------------------------------------- !*** UNSTABLE RANGE !---------------------------------------------------------------------- ! IF(ZETA1<0.)THEN ! !---------------------------------------------------------------------- !*** PAULSON 1970 FUNCTIONS !---------------------------------------------------------------------- X=SQRT(SQRT(1.-16.*ZETA1)) PSIM1(K)=-2.*LOG((X+1.)/2.)-LOG((X*X+1.)/2.)+2.*ATAN(X)-PIHF PSIH1(K)=-2.*LOG((X*X+1.)/2.) ! !---------------------------------------------------------------------- !*** DERIVED BY S. SUKORIANSKY USING QNSE THEORY !---------------------------------------------------------------------- ! PSIMQ=2.25*ZETA1+ZETA1**2+45.9*ZETA1**3 PSIHQ=2.0*ZETA1+10.3*ZETA1**2+130*ZETA1**3 ! PSIHQ=1.45*ZETA1+7.42*ZETA1**2+93.5*ZETA1**3 ! /PRT0 PSIM1(K)=MAX(PSIMQ,PSIM1(K)) PSIH1(K)=MAX(PSIHQ,PSIH1(K)) ! !---------------------------------------------------------------------- !*** STABLE RANGE !---------------------------------------------------------------------- ! ELSE ! !---------------------------------------------------------------------- !*** PAULSON 1970 FUNCTIONS !---------------------------------------------------------------------- ! ! PSIM1(K)=5.*ZETA1 ! PSIH1(K)=5.*ZETA1 !---------------------------------------------------------------------- !*** HOLTSLAG AND DE BRUIN 1988 !---------------------------------------------------------------------- ! ! PSIM1(K)=0.7*ZETA1+0.75*ZETA1*(6.-0.35*ZETA1)*EXP(-0.35*ZETA1) ! PSIH1(K)=0.7*ZETA1+0.75*ZETA1*(6.-0.35*ZETA1)*EXP(-0.35*ZETA1) ! !---------------------------------------------------------------------- !*** DERIVED BY S. SUKORIANSKY USING QNSE THEORY !---------------------------------------------------------------------- ! PSIM1(K)=2.25*ZETA1-0.2*ZETA1*ZETA1 PSIH1(K)=2.0*ZETA1+0.14*((ZETA1-0.5)**5+0.03125) ! PSIH1(K)=1.42*ZETA1+0.1*((ZETA1-0.5)**5+0.03125) !/PRT0 !---------------------------------------------------------------------- ! ENDIF ! !---------------------------------------------------------------------- !*** UNSTABLE RANGE !---------------------------------------------------------------------- ! IF(ZETA2<0.)THEN ! !---------------------------------------------------------------------- !*** PAULSON 1970 FUNCTIONS !---------------------------------------------------------------------- ! X=SQRT(SQRT(1.-16.*ZETA2)) PSIM2(K)=-2.*LOG((X+1.)/2.)-LOG((X*X+1.)/2.)+2.*ATAN(X)-PIHF PSIH2(K)=-2.*LOG((X*X+1.)/2.) ! !---------------------------------------------------------------------- !*** DERIVED BY S. SUKORIANSKY USING QNSE THEORY !---------------------------------------------------------------------- ! PSIMQ=2.25*ZETA2+ZETA2**2+45.9*ZETA2**3 PSIHQ=2.0*ZETA2+10.3*ZETA2**2+130*ZETA2**3 ! PSIHQ=1.45*ZETA2+7.42*ZETA2**2+93.5*ZETA2**3 ! /PRT0 PSIM2(K)=MAX(PSIMQ,PSIM2(K)) PSIH2(K)=MAX(PSIHQ,PSIH2(K)) ! !---------------------------------------------------------------------- !*** STABLE RANGE !---------------------------------------------------------------------- ! ELSE ! !---------------------------------------------------------------------- !*** PAULSON 1970 FUNCTIONS !---------------------------------------------------------------------- ! ! PSIM2(K)=5.*ZETA2 ! PSIH2(K)=5.*ZETA2 ! !---------------------------------------------------------------------- !*** HOLTSLAG AND DE BRUIN 1988 !---------------------------------------------------------------------- ! ! PSIM2(K)=0.7*ZETA2+0.75*ZETA2*(6.-0.35*ZETA2)*EXP(-0.35*ZETA2) ! PSIH2(K)=0.7*ZETA2+0.75*ZETA2*(6.-0.35*ZETA2)*EXP(-0.35*ZETA2) ! !---------------------------------------------------------------------- !*** DERIVED BY S. SUKORIANSKY USING QNSE THEORY !---------------------------------------------------------------------- ! PSIM2(K)=2.25*ZETA2-0.2*ZETA2*ZETA2 PSIH2(K)=2.0*ZETA2+0.14*((ZETA2-0.5)**5+0.03125) ! PSIH2(K)=1.42*ZETA2+0.1*((ZETA2-0.5)**5+0.03125) !/PRT0 !---------------------------------------------------------------------- ! ENDIF ! !---------------------------------------------------------------------- IF(K==KZTM)THEN ZTMAX1=ZETA1 ZTMAX2=ZETA2 ENDIF ! ZETA1=ZETA1+DZETA1 ZETA2=ZETA2+DZETA2 !---------------------------------------------------------------------- ENDDO !---------------------------------------------------------------------- ZTMAX1=ZTMAX1-EPS ZTMAX2=ZTMAX2-EPS !---------------------------------------------------------------------- ! END SUBROUTINE QNSESFCINIT ! !---------------------------------------------------------------------- ! END MODULE MODULE_SF_QNSESFC ! !----------------------------------------------------------------------