!LWRF:MODEL_LAYER:PHYSICS ! MODULE module_bl_gfs CONTAINS !------------------------------------------------------------------- SUBROUTINE BL_GFS(U3D,V3D,TH3D,T3D,QV3D,QC3D, P3D,PI3D, & RUBLTEN,RVBLTEN,RTHBLTEN, & RQVBLTEN,RQCBLTEN, & CP,G,ROVCP,R,ROVG,FLAG_QI, & dz8w,z,PSFC, & UST,PBL,PSIM,PSIH, & HFX,QFX,TSK,GZ1OZ0,WSPD,BR, & DT,KPBL2D,EP1,KARMAN, & ids,ide, jds,jde, kds,kde, & ims,ime, jms,jme, kms,kme, & its,ite, jts,jte, kts,kte, & ! optional qi3d,rqiblten ) !-------------------------------------------------------------------- USE MODULE_GFS_MACHINE, ONLY : kind_phys !------------------------------------------------------------------- IMPLICIT NONE !------------------------------------------------------------------- !-- U3D 3D u-velocity interpolated to theta points (m/s) !-- V3D 3D v-velocity interpolated to theta points (m/s) !-- TH3D 3D potential temperature (K) !-- T3D temperature (K) !-- QV3D 3D water vapor mixing ratio (Kg/Kg) !-- QC3D 3D cloud mixing ratio (Kg/Kg) !-- QI3D 3D ice mixing ratio (Kg/Kg) !-- P3D 3D pressure (Pa) !-- PI3D 3D exner function (dimensionless) !-- rr3D 3D dry air density (kg/m^3) !-- RUBLTEN U tendency due to ! PBL parameterization (m/s^2) !-- RVBLTEN V tendency due to ! PBL parameterization (m/s^2) !-- RTHBLTEN Theta tendency due to ! PBL parameterization (K/s) !-- RQVBLTEN Qv tendency due to ! PBL parameterization (kg/kg/s) !-- RQCBLTEN Qc tendency due to ! PBL parameterization (kg/kg/s) !-- RQIBLTEN Qi tendency due to ! PBL parameterization (kg/kg/s) !-- CP heat capacity at constant pressure for dry air (J/kg/K) !-- G acceleration due to gravity (m/s^2) !-- ROVCP R/CP !-- R gas constant for dry air (J/kg/K) !-- ROVG R/G !-- P_QI species index for cloud ice !-- dz8w dz between full levels (m) !-- z height above sea level (m) !-- PSFC pressure at the surface (Pa) !-- UST u* in similarity theory (m/s) !-- PBL PBL height (m) !-- PSIM similarity stability function for momentum !-- PSIH similarity stability function for heat !-- HFX upward heat flux at the surface (W/m^2) !-- QFX upward moisture flux at the surface (kg/m^2/s) !-- TSK surface temperature (K) !-- GZ1OZ0 log(z/z0) where z0 is roughness length !-- WSPD wind speed at lowest model level (m/s) !-- BR bulk Richardson number in surface layer !-- DT time step (s) !-- rvovrd R_v divided by R_d (dimensionless) !-- EP1 constant for virtual temperature (R_v/R_d - 1) (dimensionless) !-- KARMAN Von Karman constant !-- ids start index for i in domain !-- ide end index for i in domain !-- jds start index for j in domain !-- jde end index for j in domain !-- kds start index for k in domain !-- kde end index for k in domain !-- ims start index for i in memory !-- ime end index for i in memory !-- jms start index for j in memory !-- jme end index for j in memory !-- kms start index for k in memory !-- kme end index for k in memory !-- its start index for i in tile !-- ite end index for i in tile !-- jts start index for j in tile !-- jte end index for j in tile !-- kts start index for k in tile !-- kte end index for k in tile !------------------------------------------------------------------- INTEGER, INTENT(IN) :: ids,ide, jds,jde, kds,kde, & ims,ime, jms,jme, kms,kme, & its,ite, jts,jte, kts,kte LOGICAL, INTENT(IN) :: flag_qi REAL, INTENT(IN) :: & CP, & DT, & EP1, & G, & KARMAN, & R, & ROVCP, & ROVG REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(IN) :: & DZ8W, & P3D, & PI3D, & QC3D, & QV3D, & T3D, & TH3D, & U3D, & V3D, & Z REAL, DIMENSION(ims:ime, kms:kme, jms:jme), INTENT(INOUT) :: & RTHBLTEN, & RQCBLTEN, & RQVBLTEN, & RUBLTEN, & RVBLTEN REAL, DIMENSION(ims:ime, jms:jme), INTENT(IN) :: & BR, & GZ1OZ0, & HFX, & PSFC, & PSIM, & PSIH, & QFX, & TSK REAL, DIMENSION(ims:ime, jms:jme), INTENT(INOUT) :: & PBL, & UST, & WSPD INTEGER, DIMENSION(ims:ime, jms:jme), INTENT(OUT) :: & KPBL2D !--------------------------- OPTIONAL VARS ------------------------------ REAL, DIMENSION(ims:ime, kms:kme, jms:jme), & OPTIONAL, INTENT(IN) :: & QI3D REAL, DIMENSION(ims:ime, kms:kme, jms:jme), & OPTIONAL, INTENT(INOUT) :: & RQIBLTEN !--------------------------- LOCAL VARS ------------------------------ REAL (kind=kind_phys), DIMENSION(its:ite, kts:kte) :: & DEL, & DU, & DV, & PHIL, & PRSL, & PRSLK, & T1, & TAU, & U1, & V1 REAL (kind=kind_phys), DIMENSION(its:ite, kts:kte+1) :: & PHII, & PRSI REAL (kind=kind_phys), DIMENSION(its:ite, kts:kte, 3) :: & Q1, & RTG REAL (kind=kind_phys), DIMENSION(its:ite) :: & DQSFC, & DTSFC, & DUSFC, & DVSFC, & EVAP, & FH, & FM, & HEAT, & HGAMQ, & HGAMT, & HPBL, & PSK, & QSS, & RBSOIL, & RCL, & SPD1, & STRESS, & TSEA REAL (kind=kind_phys) :: & CPM, & DELTIM, & FMTMP, & RRHOX INTEGER, DIMENSION( its:ite ) :: & KPBL INTEGER :: & I, & IM, & J, & K, & KM, & KTEM, & KTEP, & KX, & L, & NTRAC IM=ITE-ITS+1 KX=KTE-KTS+1 KTEM=KTE-1 KTEP=KTE+1 NTRAC=2 DELTIM=DT IF (flag_qi) NTRAC=3 DO J=jts,jte DO i=its,ite RRHOX=(R*T3D(I,KTS,J)*(1.+EP1*QV3D(I,KTS,J)))/PSFC(I,J) CPM=CP*(1.+0.8*QV3D(i,kts,j)) FMTMP=GZ1OZ0(i,j)-PSIM(i,j) PSK(i)=(PSFC(i,j)*.00001)**ROVCP FM(i)=FMTMP FH(i)=GZ1OZ0(i,j)-PSIH(i,j) TSEA(i)=TSK(i,j) QSS(i)=QV3D(i,kts,j) ! not used in moninp so set to qv3d for now HEAT(i)=HFX(i,j)/CPM*RRHOX EVAP(i)=QFX(i,j)*RRHOX STRESS(i)=KARMAN*KARMAN*WSPD(i,j)*WSPD(i,j)/(FMTMP*FMTMP) SPD1(i)=WSPD(i,j) PRSI(i,kts)=PSFC(i,j)*.001 PHII(I,kts)=0. RCL(i)=1. RBSOIL(I)=BR(i,j) ENDDO DO k=kts,kte DO i=its,ite DV(I,K) = 0. DU(I,K) = 0. TAU(I,K) = 0. U1(I,K) = U3D(i,k,j) V1(I,K) = V3D(i,k,j) T1(I,K) = T3D(i,k,j) Q1(I,K,1) = QV3D(i,k,j)/(1.+QV3D(i,k,j)) Q1(I,K,2) = QC3D(i,k,j)/(1.+QC3D(i,k,j)) PRSL(I,K)=P3D(i,k,j)*.001 ENDDO ENDDO DO k=kts,kte DO i=its,ite PRSLK(I,K)=(PRSL(i,k)*.01)**ROVCP ENDDO ENDDO DO k=kts+1,kte km=k-1 DO i=its,ite DEL(i,km)=PRSL(i,km)/ROVG*dz8w(i,km,j)/T3D(i,km,j) PRSI(i,k)=PRSI(i,km)-DEL(i,km) PHII(I,K)=(Z(i,k,j)-Z(i,kts,j))*G PHIL(I,KM)=0.5*(Z(i,k,j)+Z(i,km,j)-2.*Z(i,kts,j))*G ENDDO ENDDO DO i=its,ite DEL(i,kte)=DEL(i,ktem) PRSI(i,ktep)=PRSI(i,kte)-DEL(i,ktem) PHII(I,KTEP)=PHII(I,KTE)+dz8w(i,kte,j)*G PHIL(I,KTE)=PHII(I,KTE)-PHIL(I,KTEM)+PHII(I,KTE) ENDDO IF (flag_QI .AND. PRESENT( QI3D ) ) THEN DO k=kts,kte DO i=its,ite Q1(I,K,3) = QI3D(i,k,j)/(1.+QI3D(i,k,j)) ENDDO ENDDO ENDIF DO l=1,ntrac DO k=kts,kte DO i=its,ite RTG(I,K,L) = 0. ENDDO ENDDO ENDDO CALL MONINP(IM,IM,KX,NTRAC,DV,DU,TAU,RTG,U1,V1,T1,Q1, & PSK,RBSOIL,FM,FH,TSEA,QSS,HEAT,EVAP,STRESS, & SPD1,KPBL,PRSI,DEL,PRSL,PRSLK,PHII,PHIL,RCL, & DELTIM,DUSFC,DVSFC,DTSFC,DQSFC,HPBL,HGAMT,HGAMQ) DO k=kts,kte DO i=its,ite RVBLTEN(I,K,J)=DV(I,K) RUBLTEN(I,K,J)=DU(I,K) RTHBLTEN(I,K,J)=TAU(I,K)/PI3D(I,K,J) RQVBLTEN(I,K,J)=RTG(I,K,1)/(1.-Q1(I,K,1))**2 RQCBLTEN(I,K,J)=RTG(I,K,2)/(1.-Q1(I,K,2))**2 ENDDO ENDDO IF (flag_QI .AND. PRESENT( RQIBLTEN )) THEN DO k=kts,kte DO i=its,ite RQIBLTEN(I,K,J)=RTG(I,K,3)/(1.-Q1(I,K,3))**2 ENDDO ENDDO ENDIF DO i=its,ite UST(i,j)=SQRT(STRESS(i)) WSPD(i,j)=SQRT(U3D(I,KTS,J)*U3D(I,KTS,J)+ & V3D(I,KTS,J)*V3D(I,KTS,J))+1.E-9 PBL(i,j)=HPBL(i) KPBL2D(i,j)=kpbl(i) ENDDO ENDDO END SUBROUTINE BL_GFS !=================================================================== SUBROUTINE gfsinit(RUBLTEN,RVBLTEN,RTHBLTEN,RQVBLTEN, & RQCBLTEN,RQIBLTEN,P_QI,P_FIRST_SCALAR, & 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 INTEGER , INTENT(IN) :: P_QI, P_FIRST_SCALAR REAL , DIMENSION( ims:ime , kms:kme , jms:jme ) , INTENT(OUT) :: & RUBLTEN, & RVBLTEN, & RTHBLTEN, & RQVBLTEN, & RQCBLTEN, & RQIBLTEN 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 RUBLTEN(i,k,j)=0. RVBLTEN(i,k,j)=0. RTHBLTEN(i,k,j)=0. RQVBLTEN(i,k,j)=0. RQCBLTEN(i,k,j)=0. ENDDO ENDDO ENDDO ENDIF IF (P_QI .ge. P_FIRST_SCALAR .and. .not.restart) THEN DO j=jts,jtf DO k=kts,ktf DO i=its,itf RQIBLTEN(i,k,j)=0. ENDDO ENDDO ENDDO ENDIF END SUBROUTINE gfsinit ! -------------------------------------------------------------- !FPP$ NOCONCUR R SUBROUTINE MONINP(IX,IM,KM,ntrac,DV,DU,TAU,RTG, & & U1,V1,T1,Q1, & & PSK,RBSOIL,FM,FH,TSEA,QSS,HEAT,EVAP,STRESS,SPD1,KPBL, & ! & PSK,RBSOIL,CD,CH,FM,FH,TSEA,QSS,DPHI,SPD1,KPBL, & & PRSI,DEL,PRSL,PRSLK,PHII,PHIL,RCL,DELTIM, & & DUSFC,DVSFC,DTSFC,DQSFC,HPBL,HGAMT,HGAMQ) ! USE MODULE_GFS_MACHINE, ONLY : kind_phys USE MODULE_GFS_PHYSCONS, grav => con_g, RD => con_RD, CP => con_CP & &, HVAP => con_HVAP, ROG => con_ROG, FV => con_FVirt implicit none ! ! include 'constant.h' ! ! ! Arguments ! integer IX, IM, KM, ntrac, KPBL(IM) ! real(kind=kind_phys) DELTIM real(kind=kind_phys) DV(IM,KM), DU(IM,KM), & & TAU(IM,KM), RTG(IM,KM,ntrac), & & U1(IX,KM), V1(IX,KM), & & T1(IX,KM), Q1(IX,KM,ntrac), & & PSK(IM), RBSOIL(IM), & ! & CD(IM), CH(IM), & & FM(IM), FH(IM), & & TSEA(IM), QSS(IM), & & SPD1(IM), & ! & DPHI(IM), SPD1(IM), & & PRSI(IX,KM+1), DEL(IX,KM), & & PRSL(IX,KM), PRSLK(IX,KM), & & PHII(IX,KM+1), PHIL(IX,KM), & & RCL(IM), DUSFC(IM), & & dvsfc(IM), dtsfc(IM), & & DQSFC(IM), HPBL(IM), & & HGAMT(IM), hgamq(IM) ! ! Locals ! integer i,iprt,is,iun,k,kk,kmpbl,lond ! real(kind=kind_phys) betaq(IM), betat(IM), betaw(IM), & real(kind=kind_phys) evap(IM), heat(IM), phih(IM), & & phim(IM), rbdn(IM), rbup(IM), & & the1(IM), stress(im), beta(im), & & the1v(IM), thekv(IM), thermal(IM), & & thesv(IM), ustar(IM), wscale(IM) ! & thesv(IM), ustar(IM), wscale(IM), zl1(IM) ! real(kind=kind_phys) RDZT(IM,KM-1), & & ZI(IM,KM+1), ZL(IM,KM), & & DKU(IM,KM-1), DKT(IM,KM-1), DKO(IM,KM-1), & & AL(IM,KM-1), AD(IM,KM), & & AU(IM,KM-1), A1(IM,KM), & & A2(IM,KM), THETA(IM,KM), & & AT(IM,KM*(ntrac-1)) logical pblflg(IM), sfcflg(IM), stable(IM) ! real(kind=kind_phys) aphi16, aphi5, bet1, bvf2, & & cfac, conq, cont, conw, & & conwrc, dk, dkmax, dkmin, & & dq1, dsdz2, dsdzq, dsdzt, & & dsig, dt, dthe1, dtodsd, & & dtodsu, dw2, dw2min, g, & & gamcrq, gamcrt, gocp, gor, gravi, & & hol, pfac, prmax, prmin, prinv, & & prnum, qmin, qtend, rbcr, & & rbint, rdt, rdz, rdzt1, & & ri, rimin, rl2, rlam, & & rone, rzero, sfcfrac, & & sflux, shr2, spdk2, sri, & & tem, ti, ttend, tvd, & & tvu, utend, vk, vk2, & & vpert, vtend, xkzo, zfac, & & zfmin, zk, tem1 ! PARAMETER(g=grav) PARAMETER(GOR=G/RD,GOCP=G/CP) PARAMETER(CONT=1000.*CP/G,CONQ=1000.*HVAP/G,CONW=1000./G) PARAMETER(RLAM=150.,VK=0.4,VK2=VK*VK,PRMIN=1.0,PRMAX=4.) PARAMETER(DW2MIN=0.0001,DKMIN=1.0,DKMAX=1000.,RIMIN=-100.) PARAMETER(RBCR=0.5,CFAC=7.8,PFAC=2.0,SFCFRAC=0.1) PARAMETER(QMIN=1.E-8,XKZO=1.0,ZFMIN=1.E-8,APHI5=5.,APHI16=16.) ! PARAMETER(GAMCRT=3.,GAMCRQ=2.E-3) PARAMETER(GAMCRT=3.,GAMCRQ=0.) PARAMETER(RZERO=0.,RONE=1.) PARAMETER(IUN=84) ! ! !----------------------------------------------------------------------- ! 601 FORMAT(1X,' MONINP LAT LON STEP HOUR ',3I6,F6.1) 602 FORMAT(1X,' K',' Z',' T',' TH', & & ' TVH',' Q',' U',' V', & & ' SP') 603 FORMAT(1X,I5,8F9.1) 604 FORMAT(1X,' SFC',9X,F9.1,18X,F9.1) 605 FORMAT(1X,' K ZL SPD2 THEKV THE1V' & & ,' THERMAL RBUP') 606 FORMAT(1X,I5,6F8.2) 607 FORMAT(1X,' KPBL HPBL FM FH HGAMT', & & ' HGAMQ WS USTAR CD CH') 608 FORMAT(1X,I5,9F8.2) 609 FORMAT(1X,' K PR DKT DKU ',I5,3F8.2) 610 FORMAT(1X,' K PR DKT DKU ',I5,3F8.2,' L2 RI T2', & & ' SR2 ',2F8.2,2E10.2) ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ! COMPUTE PRELIMINARY VARIABLES ! if (IX .lt. im) stop ! IPRT = 0 IF(IPRT.EQ.1) THEN !!! LATD = 0 LOND = 0 ELSE !!! LATD = 0 LOND = 0 ENDIF ! gravi = 1.0 / grav DT = 2. * DELTIM RDT = 1. / DT KMPBL = KM / 2 ! do k=1,km do i=1,im zi(i,k) = phii(i,k) * gravi zl(i,k) = phil(i,k) * gravi enddo enddo ! do k=1,kmpbl do i=1,im theta(i,k) = t1(i,k) * psk(i) / prslk(i,k) enddo enddo ! DO K = 1,KM-1 DO I=1,IM RDZT(I,K) = GOR * PRSI(I,K+1) / (PRSL(I,K) - PRSL(I,K+1)) ENDDO ENDDO ! DO I = 1,IM DUSFC(I) = 0. DVSFC(I) = 0. DTSFC(I) = 0. DQSFC(I) = 0. HGAMT(I) = 0. HGAMQ(I) = 0. WSCALE(I) = 0. KPBL(I) = 1 HPBL(I) = ZI(I,2) PBLFLG(I) = .TRUE. SFCFLG(I) = .TRUE. IF(RBSOIL(I).GT.0.0) SFCFLG(I) = .FALSE. ENDDO !! DO I=1,IM RDZT1 = GOR * prSL(i,1) / DEL(i,1) ! BET1 = DT*RDZT1*SPD1(I)/T1(I,1) BETA(I) = DT*RDZT1/T1(I,1) ! BETAW(I) = BET1*CD(I) ! BETAT(I) = BET1*CH(I) ! BETAQ(I) = DPHI(I)*BETAT(I) ENDDO ! DO I=1,IM ! ZL1(i) = 0.-(T1(I,1)+TSEA(I))/2.*LOG(PRSL(I,1)/PRSI(I,1))*ROG ! USTAR(I) = SQRT(CD(I)*SPD1(I)**2) USTAR(I) = SQRT(STRESS(I)) ENDDO ! DO I=1,IM THESV(I) = TSEA(I)*(1.+FV*MAX(QSS(I),QMIN)) THE1(I) = THETA(I,1) THE1V(I) = THE1(I)*(1.+FV*MAX(Q1(I,1,1),QMIN)) THERMAL(I) = THE1V(I) ! DTHE1 = (THE1(I)-TSEA(I)) ! DQ1 = (MAX(Q1(I,1,1),QMIN) - MAX(QSS(I),QMIN)) ! HEAT(I) = -CH(I)*SPD1(I)*DTHE1 ! EVAP(I) = -CH(I)*SPD1(I)*DQ1 ENDDO ! ! ! COMPUTE THE FIRST GUESS OF PBL HEIGHT ! DO I=1,IM STABLE(I) = .FALSE. ! ZL(i,1) = ZL1(i) RBUP(I) = RBSOIL(I) ENDDO DO K = 2, KMPBL DO I = 1, IM IF(.NOT.STABLE(I)) THEN RBDN(I) = RBUP(I) ! ZL(I,k) = ZL(I,K-1) - (T1(i,k)+T1(i,K-1))/2 * ! & LOG(PRSL(I,K)/PRSL(I,K-1)) * ROG THEKV(I) = THETA(i,k)*(1.+FV*MAX(Q1(i,k,1),QMIN)) SPDK2 = MAX(RCL(i)*(U1(i,k)*U1(i,k)+V1(i,k)*V1(i,k)),RONE) RBUP(I) = (THEKV(I)-THE1V(I))*(G*ZL(I,k)/THE1V(I))/SPDK2 KPBL(I) = K STABLE(I) = RBUP(I).GT.RBCR ENDIF ENDDO ENDDO ! DO I = 1,IM K = KPBL(I) IF(RBDN(I).GE.RBCR) THEN RBINT = 0. ELSEIF(RBUP(I).LE.RBCR) THEN RBINT = 1. ELSE RBINT = (RBCR-RBDN(I))/(RBUP(I)-RBDN(I)) ENDIF HPBL(I) = ZL(I,K-1) + RBINT*(ZL(I,K)-ZL(I,K-1)) IF(HPBL(I).LT.ZI(I,KPBL(I))) KPBL(I) = KPBL(I) - 1 ENDDO !! DO I=1,IM HOL = MAX(RBSOIL(I)*FM(I)*FM(I)/FH(I),RIMIN) IF(SFCFLG(I)) THEN HOL = MIN(HOL,-ZFMIN) ELSE HOL = MAX(HOL,ZFMIN) ENDIF ! ! HOL = HOL*HPBL(I)/ZL1(I)*SFCFRAC HOL = HOL*HPBL(I)/ZL(I,1)*SFCFRAC IF(SFCFLG(I)) THEN ! PHIM = (1.-APHI16*HOL)**(-1./4.) ! PHIH = (1.-APHI16*HOL)**(-1./2.) TEM = 1.0 / (1. - APHI16*HOL) PHIH(I) = SQRT(TEM) PHIM(I) = SQRT(PHIH(I)) ELSE PHIM(I) = (1.+APHI5*HOL) PHIH(I) = PHIM(I) ENDIF WSCALE(I) = USTAR(I)/PHIM(I) WSCALE(I) = MIN(WSCALE(I),USTAR(I)*APHI16) WSCALE(I) = MAX(WSCALE(I),USTAR(I)/APHI5) ENDDO ! ! COMPUTE THE SURFACE VARIABLES FOR PBL HEIGHT ESTIMATION ! UNDER UNSTABLE CONDITIONS ! DO I = 1,IM SFLUX = HEAT(I) + EVAP(I)*FV*THE1(I) IF(SFCFLG(I).AND.SFLUX.GT.0.0) THEN HGAMT(I) = MIN(CFAC*HEAT(I)/WSCALE(I),GAMCRT) HGAMQ(I) = MIN(CFAC*EVAP(I)/WSCALE(I),GAMCRQ) VPERT = HGAMT(I) + FV*THE1(I)*HGAMQ(I) VPERT = MIN(VPERT,GAMCRT) THERMAL(I) = THERMAL(I) + MAX(VPERT,RZERO) HGAMT(I) = MAX(HGAMT(I),RZERO) HGAMQ(I) = MAX(HGAMQ(I),RZERO) ELSE PBLFLG(I) = .FALSE. ENDIF ENDDO ! DO I = 1,IM IF(PBLFLG(I)) THEN KPBL(I) = 1 HPBL(I) = ZI(I,2) ENDIF ENDDO ! ! ENHANCE THE PBL HEIGHT BY CONSIDERING THE THERMAL ! DO I = 1, IM IF(PBLFLG(I)) THEN STABLE(I) = .FALSE. RBUP(I) = RBSOIL(I) ENDIF ENDDO DO K = 2, KMPBL DO I = 1, IM IF(.NOT.STABLE(I).AND.PBLFLG(I)) THEN RBDN(I) = RBUP(I) ! ZL(I,k) = ZL(I,K-1) - (T1(i,k)+T1(i,K-1))/2 * ! & LOG(PRSL(I,K)/PRSL(I,K-1)) * ROG THEKV(I) = THETA(i,k)*(1.+FV*MAX(Q1(i,k,1),QMIN)) SPDK2 = MAX(RCL(i)*(U1(i,k)*U1(i,k)+V1(i,k)*V1(i,k)),RONE) RBUP(I) = (THEKV(I)-THERMAL(I))*(G*ZL(I,k)/THE1V(I))/SPDK2 KPBL(I) = K STABLE(I) = RBUP(I).GT.RBCR ENDIF ENDDO ENDDO ! DO I = 1,IM IF(PBLFLG(I)) THEN K = KPBL(I) IF(RBDN(I).GE.RBCR) THEN RBINT = 0. ELSEIF(RBUP(I).LE.RBCR) THEN RBINT = 1. ELSE RBINT = (RBCR-RBDN(I))/(RBUP(I)-RBDN(I)) ENDIF HPBL(I) = ZL(I,K-1) + RBINT*(ZL(I,k)-ZL(I,K-1)) IF(HPBL(I).LT.ZI(I,KPBL(I))) KPBL(I) = KPBL(I) - 1 IF(KPBL(I).LE.1) PBLFLG(I) = .FALSE. ENDIF ENDDO !! ! ! COMPUTE DIFFUSION COEFFICIENTS BELOW PBL ! DO K = 1, KMPBL DO I=1,IM IF(KPBL(I).GT.K) THEN PRINV = 1.0 / (PHIH(I)/PHIM(I)+CFAC*VK*.1) PRINV = MIN(PRINV,PRMAX) PRINV = MAX(PRINV,PRMIN) ! ZFAC = MAX((1.-(ZI(I,K+1)-ZL1(I))/ & ! & (HPBL(I)-ZL1(I))), ZFMIN) ZFAC = MAX((1.-(ZI(I,K+1)-ZL(I,1))/ & & (HPBL(I)-ZL(I,1))), ZFMIN) DKU(i,k) = XKZO + WSCALE(I)*VK*ZI(I,K+1) & & * ZFAC**PFAC DKT(i,k) = DKU(i,k)*PRINV DKO(i,k) = (DKU(i,k)-XKZO)*PRINV DKU(i,k) = MIN(DKU(i,k),DKMAX) DKU(i,k) = MAX(DKU(i,k),DKMIN) DKT(i,k) = MIN(DKT(i,k),DKMAX) DKT(i,k) = MAX(DKT(i,k),DKMIN) DKO(i,k) = MAX(RZERO, MIN(DKMAX, DKO(i,k))) ENDIF ENDDO ENDDO ! ! COMPUTE DIFFUSION COEFFICIENTS OVER PBL (FREE ATMOSPHERE) ! DO K = 1, KM-1 DO I=1,IM IF(K.GE.KPBL(I)) THEN ! TI = 0.5*(T1(i,k)+T1(i,K+1)) TI = 2.0 / (T1(i,k)+T1(i,K+1)) ! RDZ = RDZT(I,K)/TI RDZ = RDZT(I,K) * TI ! RDZ = RDZT(I,K) DW2 = RCL(i)*((U1(i,k)-U1(i,K+1))**2 & & + (V1(i,k)-V1(i,K+1))**2) SHR2 = MAX(DW2,DW2MIN)*RDZ**2 TVD = T1(i,k)*(1.+FV*MAX(Q1(i,k,1),QMIN)) TVU = T1(i,K+1)*(1.+FV*MAX(Q1(i,K+1,1),QMIN)) ! BVF2 = G*(GOCP+RDZ*(TVU-TVD))/TI BVF2 = G*(GOCP+RDZ*(TVU-TVD)) * TI RI = MAX(BVF2/SHR2,RIMIN) ZK = VK*ZI(I,K+1) ! RL2 = (ZK*RLAM/(RLAM+ZK))**2 ! DK = RL2*SQRT(SHR2) RL2 = ZK*RLAM/(RLAM+ZK) DK = RL2*RL2*SQRT(SHR2) IF(RI.LT.0.) THEN ! UNSTABLE REGIME SRI = SQRT(-RI) DKU(i,k) = XKZO + DK*(1+8.*(-RI)/(1+1.746*SRI)) ! DKT(i,k) = XKZO + DK*(1+8.*(-RI)/(1+1.286*SRI)) tem = DK*(1+8.*(-RI)/(1+1.286*SRI)) DKT(i,k) = XKZO + tem DKO(i,k) = tem ELSE ! STABLE REGIME ! DKT(i,k) = XKZO + DK/(1+5.*RI)**2 tem = DK/(1+5.*RI)**2 DKT(i,k) = XKZO + tem DKO(i,k) = tem PRNUM = 1.0 + 2.1*RI PRNUM = MIN(PRNUM,PRMAX) DKU(i,k) = (DKT(i,k)-XKZO)*PRNUM + XKZO ENDIF ! DKU(i,k) = MIN(DKU(i,k),DKMAX) DKU(i,k) = MAX(DKU(i,k),DKMIN) DKT(i,k) = MIN(DKT(i,k),DKMAX) DKT(i,k) = MAX(DKT(i,k),DKMIN) DKO(i,k) = MAX(RZERO, MIN(DKMAX, DKO(i,k))) ! !!! IF(I.EQ.LOND.AND.LAT.EQ.LATD) THEN !!! PRNUM = DKU(k)/DKT(k) !!! WRITE(IUN,610) K,PRNUM,DKT(k),DKU(k),RL2,RI, !!! 1 BVF2,SHR2 !!! ENDIF ! ENDIF ENDDO ENDDO ! ! COMPUTE TRIDIAGONAL MATRIX ELEMENTS FOR HEAT AND MOISTURE ! DO I=1,IM AD(I,1) = 1. A1(I,1) = T1(i,1) + BETA(i) * HEAT(I) A2(I,1) = Q1(i,1,1) + BETA(i) * EVAP(I) ! A1(I,1) = T1(i,1)-BETAT(I)*(THETA(i,1)-TSEA(I)) ! A2(I,1) = Q1(i,1,1)-BETAQ(I)* ! & (MAX(Q1(i,1,1),QMIN)-MAX(QSS(I),QMIN)) ENDDO ! DO K = 1,KM-1 DO I = 1,IM DTODSD = DT/DEL(I,K) DTODSU = DT/DEL(I,K+1) DSIG = PRSL(I,K)-PRSL(I,K+1) RDZ = RDZT(I,K)*2./(T1(i,k)+T1(i,K+1)) ! RDZ = RDZT(I,K) tem1 = DSIG * DKT(i,k) * RDZ IF(PBLFLG(I).AND.K.LT.KPBL(I)) THEN ! DSDZT = DSIG*DKT(i,k)*RDZ*(GOCP-HGAMT(I)/HPBL(I)) ! DSDZQ = DSIG*DKT(i,k)*RDZ*(-HGAMQ(I)/HPBL(I)) tem = 1.0 / HPBL(I) DSDZT = tem1 * (GOCP-HGAMT(I)*tem) DSDZQ = tem1 * (-HGAMQ(I)*tem) A2(I,k) = A2(I,k)+DTODSD*DSDZQ A2(I,k+1) = Q1(i,k+1,1)-DTODSU*DSDZQ ELSE ! DSDZT = DSIG*DKT(i,k)*RDZ*(GOCP) DSDZT = tem1 * GOCP A2(I,k+1) = Q1(i,k+1,1) ENDIF ! DSDZ2 = DSIG*DKT(i,k)*RDZ*RDZ DSDZ2 = tem1 * RDZ AU(I,k) = -DTODSD*DSDZ2 AL(I,k) = -DTODSU*DSDZ2 AD(I,k) = AD(I,k)-AU(I,k) AD(I,k+1) = 1.-AL(I,k) A1(I,k) = A1(I,k)+DTODSD*DSDZT A1(I,k+1) = T1(i,k+1)-DTODSU*DSDZT ENDDO ENDDO ! ! SOLVE TRIDIAGONAL PROBLEM FOR HEAT AND MOISTURE ! CALL TRIDIN(IM,KM,1,AL,AD,AU,A1,A2,AU,A1,A2) ! ! RECOVER TENDENCIES OF HEAT AND MOISTURE ! DO K = 1,KM DO I = 1,IM TTEND = (A1(I,k)-T1(i,k))*RDT QTEND = (A2(I,k)-Q1(i,k,1))*RDT TAU(i,k) = TAU(i,k)+TTEND RTG(I,k,1) = RTG(i,k,1)+QTEND DTSFC(I) = DTSFC(I)+CONT*DEL(I,K)*TTEND DQSFC(I) = DQSFC(I)+CONQ*DEL(I,K)*QTEND ENDDO ENDDO ! ! COMPUTE TRIDIAGONAL MATRIX ELEMENTS FOR MOMENTUM ! DO I=1,IM ! AD(I,1) = 1.+BETAW(I) AD(I,1) = 1.0 + BETA(i) * STRESS(I) / SPD1(I) A1(I,1) = U1(i,1) A2(I,1) = V1(i,1) ! AD(I,1) = 1.0 ! tem = 1.0 + BETA(I) * STRESS(I) / SPD1(I) ! A1(I,1) = U1(i,1) * tem ! A2(I,1) = V1(i,1) * tem ENDDO ! DO K = 1,KM-1 DO I=1,IM DTODSD = DT/DEL(I,K) DTODSU = DT/DEL(I,K+1) DSIG = PRSL(I,K)-PRSL(I,K+1) RDZ = RDZT(I,K)*2./(T1(i,k)+T1(i,k+1)) ! RDZ = RDZT(I,K) DSDZ2 = DSIG*DKU(i,k)*RDZ*RDZ AU(I,k) = -DTODSD*DSDZ2 AL(I,k) = -DTODSU*DSDZ2 AD(I,k) = AD(I,k)-AU(I,k) AD(I,k+1) = 1.-AL(I,k) A1(I,k+1) = U1(i,k+1) A2(I,k+1) = V1(i,k+1) ENDDO ENDDO ! ! SOLVE TRIDIAGONAL PROBLEM FOR MOMENTUM ! CALL TRIDI2(IM,KM,AL,AD,AU,A1,A2,AU,A1,A2) ! ! RECOVER TENDENCIES OF MOMENTUM ! DO K = 1,KM DO I = 1,IM CONWRC = CONW*SQRT(RCL(i)) UTEND = (A1(I,k)-U1(i,k))*RDT VTEND = (A2(I,k)-V1(i,k))*RDT DU(i,k) = DU(i,k)+UTEND DV(i,k) = DV(i,k)+VTEND DUSFC(I) = DUSFC(I)+CONWRC*DEL(I,K)*UTEND DVSFC(I) = DVSFC(I)+CONWRC*DEL(I,K)*VTEND ENDDO ENDDO !! ! ! COMPUTE TRIDIAGONAL MATRIX ELEMENTS FOR TRACERS ! if (ntrac .ge. 2) then DO I=1,IM AD(I,1) = 1. ENDDO do k = 2, ntrac is = (k-2) * km do i = 1, im AT(I,1+is) = Q1(i,1,k) enddo enddo ! DO K = 1,KM-1 DO I = 1,IM DTODSD = DT/DEL(I,K) DTODSU = DT/DEL(I,K+1) DSIG = PRSL(I,K)-PRSL(I,K+1) RDZ = RDZT(I,K)*2./(T1(i,k)+T1(i,K+1)) tem1 = DSIG * DKT(i,k) * RDZ DSDZ2 = tem1 * RDZ AU(I,k) = -DTODSD*DSDZ2 AL(I,k) = -DTODSU*DSDZ2 AD(I,k) = AD(I,k)-AU(I,k) AD(I,k+1) = 1.-AL(I,k) ENDDO ENDDO do kk = 2, ntrac is = (kk-2) * km do k = 1, km - 1 do i = 1, im AT(I,k+1+is) = Q1(i,k+1,kk) enddo enddo enddo ! ! SOLVE TRIDIAGONAL PROBLEM FOR TRACERS ! CALL TRIDIT(IM,KM,ntrac-1,AL,AD,AU,AT,AU,AT) ! ! RECOVER TENDENCIES OF TRACERS ! do kk = 2, ntrac is = (kk-2) * km do k = 1, km do i = 1, im QTEND = (AT(I,K+is)-Q1(i,K,kk))*RDT RTG(i,K,kk) = RTG(i,K,kk) + QTEND enddo enddo enddo endif !! RETURN END SUBROUTINE MONINP !FPP$ NOCONCUR R !----------------------------------------------------------------------- SUBROUTINE TRIDI2(L,N,CL,CM,CU,R1,R2,AU,A1,A2) !sela %INCLUDE DBTRIDI2; ! USE MODULE_GFS_MACHINE , ONLY : kind_phys implicit none integer k,n,l,i real(kind=kind_phys) fk ! real(kind=kind_phys) CL(L,2:N),CM(L,N),CU(L,N-1),R1(L,N),R2(L,N), & & AU(L,N-1),A1(L,N),A2(L,N) !----------------------------------------------------------------------- DO I=1,L FK = 1./CM(I,1) AU(I,1) = FK*CU(I,1) A1(I,1) = FK*R1(I,1) A2(I,1) = FK*R2(I,1) ENDDO DO K=2,N-1 DO I=1,L FK = 1./(CM(I,K)-CL(I,K)*AU(I,K-1)) AU(I,K) = FK*CU(I,K) A1(I,K) = FK*(R1(I,K)-CL(I,K)*A1(I,K-1)) A2(I,K) = FK*(R2(I,K)-CL(I,K)*A2(I,K-1)) ENDDO ENDDO DO I=1,L FK = 1./(CM(I,N)-CL(I,N)*AU(I,N-1)) A1(I,N) = FK*(R1(I,N)-CL(I,N)*A1(I,N-1)) A2(I,N) = FK*(R2(I,N)-CL(I,N)*A2(I,N-1)) ENDDO DO K=N-1,1,-1 DO I=1,L A1(I,K) = A1(I,K)-AU(I,K)*A1(I,K+1) A2(I,K) = A2(I,K)-AU(I,K)*A2(I,K+1) ENDDO ENDDO !----------------------------------------------------------------------- RETURN END SUBROUTINE TRIDI2 !FPP$ NOCONCUR R !----------------------------------------------------------------------- SUBROUTINE TRIDIN(L,N,nt,CL,CM,CU,R1,R2,AU,A1,A2) !sela %INCLUDE DBTRIDI2; ! USE MODULE_GFS_MACHINE , ONLY : kind_phys implicit none integer is,k,kk,n,nt,l,i real(kind=kind_phys) fk(L) ! real(kind=kind_phys) CL(L,2:N), CM(L,N), CU(L,N-1), & & R1(L,N), R2(L,N*nt), & & AU(L,N-1), A1(L,N), A2(L,N*nt), & & FKK(L,2:N-1) !----------------------------------------------------------------------- DO I=1,L FK(I) = 1./CM(I,1) AU(I,1) = FK(I)*CU(I,1) A1(I,1) = FK(I)*R1(I,1) ENDDO do k = 1, nt is = (k-1) * n do i = 1, l a2(i,1+is) = fk(I) * r2(i,1+is) enddo enddo DO K=2,N-1 DO I=1,L FKK(I,K) = 1./(CM(I,K)-CL(I,K)*AU(I,K-1)) AU(I,K) = FKK(I,K)*CU(I,K) A1(I,K) = FKK(I,K)*(R1(I,K)-CL(I,K)*A1(I,K-1)) ENDDO ENDDO do kk = 1, nt is = (kk-1) * n DO K=2,N-1 DO I=1,L A2(I,K+is) = FKK(I,K)*(R2(I,K+is)-CL(I,K)*A2(I,K+is-1)) ENDDO ENDDO ENDDO DO I=1,L FK(I) = 1./(CM(I,N)-CL(I,N)*AU(I,N-1)) A1(I,N) = FK(I)*(R1(I,N)-CL(I,N)*A1(I,N-1)) ENDDO do k = 1, nt is = (k-1) * n do i = 1, l A2(I,N+is) = FK(I)*(R2(I,N+is)-CL(I,N)*A2(I,N+is-1)) enddo enddo DO K=N-1,1,-1 DO I=1,L A1(I,K) = A1(I,K) - AU(I,K)*A1(I,K+1) ENDDO ENDDO do kk = 1, nt is = (kk-1) * n DO K=n-1,1,-1 DO I=1,L A2(I,K+is) = A2(I,K+is) - AU(I,K)*A2(I,K+is+1) ENDDO ENDDO ENDDO !----------------------------------------------------------------------- RETURN END SUBROUTINE TRIDIN SUBROUTINE TRIDIT(L,N,nt,CL,CM,CU,RT,AU,AT) !sela %INCLUDE DBTRIDI2; ! USE MODULE_GFS_MACHINE , ONLY : kind_phys implicit none integer is,k,kk,n,nt,l,i real(kind=kind_phys) fk(L) ! real(kind=kind_phys) CL(L,2:N), CM(L,N), CU(L,N-1), & & RT(L,N*nt), & & AU(L,N-1), AT(L,N*nt), & & FKK(L,2:N-1) !----------------------------------------------------------------------- DO I=1,L FK(I) = 1./CM(I,1) AU(I,1) = FK(I)*CU(I,1) ENDDO do k = 1, nt is = (k-1) * n do i = 1, l at(i,1+is) = fk(I) * rt(i,1+is) enddo enddo DO K=2,N-1 DO I=1,L FKK(I,K) = 1./(CM(I,K)-CL(I,K)*AU(I,K-1)) AU(I,K) = FKK(I,K)*CU(I,K) ENDDO ENDDO do kk = 1, nt is = (kk-1) * n DO K=2,N-1 DO I=1,L AT(I,K+is) = FKK(I,K)*(RT(I,K+is)-CL(I,K)*AT(I,K+is-1)) ENDDO ENDDO ENDDO DO I=1,L FK(I) = 1./(CM(I,N)-CL(I,N)*AU(I,N-1)) ENDDO do k = 1, nt is = (k-1) * n do i = 1, l AT(I,N+is) = FK(I)*(RT(I,N+is)-CL(I,N)*AT(I,N+is-1)) enddo enddo do kk = 1, nt is = (kk-1) * n DO K=n-1,1,-1 DO I=1,L AT(I,K+is) = AT(I,K+is) - AU(I,K)*AT(I,K+is+1) ENDDO ENDDO ENDDO !----------------------------------------------------------------------- RETURN END SUBROUTINE TRIDIT !----------------------------------------------------------------------- END MODULE module_bl_gfs