MODULE module_sf_sfclay 5
REAL , PARAMETER :: VCONVC=1.
REAL , PARAMETER :: CZO=0.0185
REAL , PARAMETER :: OZO=1.59E-5
REAL, DIMENSION(0:1000 ),SAVE :: PSIMTB,PSIHTB
CONTAINS
!-------------------------------------------------------------------
SUBROUTINE SFCLAY(U3D,V3D,T3D,QV3D,P3D,dz8w, & 3,1
CP,G,ROVCP,R,XLV,PSFC,CHS,CHS2,CQS2,CPM, &
ZNT,UST,PBLH,MAVAIL,ZOL,MOL,REGIME,PSIM,PSIH, &
FM,FH, &
XLAND,HFX,QFX,LH,TSK,FLHC,FLQC,QGH,QSFC,RMOL, &
U10,V10,TH2,T2,Q2, &
GZ1OZ0,WSPD,BR,ISFFLX,DX, &
SVP1,SVP2,SVP3,SVPT0,EP1,EP2, &
KARMAN,EOMEG,STBOLT, &
P1000mb, &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte, &
ustm,ck,cka,cd,cda,isftcflx,iz0tlnd,scm_force_flux )
!-------------------------------------------------------------------
IMPLICIT NONE
!-------------------------------------------------------------------
!-- U3D 3D u-velocity interpolated to theta points (m/s)
!-- V3D 3D v-velocity interpolated to theta points (m/s)
!-- T3D temperature (K)
!-- QV3D 3D water vapor mixing ratio (Kg/Kg)
!-- P3D 3D pressure (Pa)
!-- dz8w dz between full levels (m)
!-- 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)
!-- XLV latent heat of vaporization for water (J/kg)
!-- PSFC surface pressure (Pa)
!-- ZNT roughness length (m)
!-- UST u* in similarity theory (m/s)
!-- USTM u* in similarity theory (m/s) without vconv correction
! used to couple with TKE scheme
!-- PBLH PBL height from previous time (m)
!-- MAVAIL surface moisture availability (between 0 and 1)
!-- ZOL z/L height over Monin-Obukhov length
!-- MOL T* (similarity theory) (K)
!-- REGIME flag indicating PBL regime (stable, unstable, etc.)
!-- PSIM similarity stability function for momentum
!-- PSIH similarity stability function for heat
!-- FM integrated stability function for momentum
!-- FH integrated stability function for heat
!-- XLAND land mask (1 for land, 2 for water)
!-- HFX upward heat flux at the surface (W/m^2)
!-- QFX upward moisture flux at the surface (kg/m^2/s)
!-- LH net upward latent heat flux at surface (W/m^2)
!-- TSK surface temperature (K)
!-- FLHC exchange coefficient for heat (W/m^2/K)
!-- FLQC exchange coefficient for moisture (kg/m^2/s)
!-- CHS heat/moisture exchange coefficient for LSM (m/s)
!-- QGH lowest-level saturated mixing ratio
!-- QSFC ground saturated mixing ratio
!-- U10 diagnostic 10m u wind
!-- V10 diagnostic 10m v wind
!-- TH2 diagnostic 2m theta (K)
!-- T2 diagnostic 2m temperature (K)
!-- Q2 diagnostic 2m mixing ratio (kg/kg)
!-- 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
!-- ISFFLX isfflx=1 for surface heat and moisture fluxes
!-- DX horizontal grid size (m)
!-- SVP1 constant for saturation vapor pressure (kPa)
!-- SVP2 constant for saturation vapor pressure (dimensionless)
!-- SVP3 constant for saturation vapor pressure (K)
!-- SVPT0 constant for saturation vapor pressure (K)
!-- EP1 constant for virtual temperature (R_v/R_d - 1) (dimensionless)
!-- EP2 constant for specific humidity calculation
! (R_d/R_v) (dimensionless)
!-- KARMAN Von Karman constant
!-- EOMEG angular velocity of earth's rotation (rad/s)
!-- STBOLT Stefan-Boltzmann constant (W/m^2/K^4)
!-- ck enthalpy exchange coeff at 10 meters
!-- cd momentum exchange coeff at 10 meters
!-- cka enthalpy exchange coeff at the lowest model level
!-- cda momentum exchange coeff at the lowest model level
!-- isftcflx =0, (Charnock and Carlson-Boland); =1, AHW Ck, Cd, =2 Garratt
!-- iz0tlnd =0 Carlson-Boland, =1 Czil_new
!-- 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
!
INTEGER, INTENT(IN ) :: ISFFLX
REAL, INTENT(IN ) :: SVP1,SVP2,SVP3,SVPT0
REAL, INTENT(IN ) :: EP1,EP2,KARMAN,EOMEG,STBOLT
REAL, INTENT(IN ) :: P1000mb
!
REAL, DIMENSION( ims:ime, kms:kme, jms:jme ) , &
INTENT(IN ) :: dz8w
REAL, DIMENSION( ims:ime, kms:kme, jms:jme ) , &
INTENT(IN ) :: QV3D, &
P3D, &
T3D
REAL, DIMENSION( ims:ime, jms:jme ) , &
INTENT(IN ) :: MAVAIL, &
PBLH, &
XLAND, &
TSK
REAL, DIMENSION( ims:ime, jms:jme ) , &
INTENT(OUT ) :: U10, &
V10, &
TH2, &
T2, &
Q2, &
QSFC
!
REAL, DIMENSION( ims:ime, jms:jme ) , &
INTENT(INOUT) :: REGIME, &
HFX, &
QFX, &
LH, &
MOL,RMOL
!m the following 5 are change to memory size
!
REAL, DIMENSION( ims:ime, jms:jme ) , &
INTENT(INOUT) :: GZ1OZ0,WSPD,BR, &
PSIM,PSIH,FM,FH
REAL, DIMENSION( ims:ime, kms:kme, jms:jme ) , &
INTENT(IN ) :: U3D, &
V3D
REAL, DIMENSION( ims:ime, jms:jme ) , &
INTENT(IN ) :: PSFC
REAL, DIMENSION( ims:ime, jms:jme ) , &
INTENT(INOUT) :: ZNT, &
ZOL, &
UST, &
CPM, &
CHS2, &
CQS2, &
CHS
REAL, DIMENSION( ims:ime, jms:jme ) , &
INTENT(INOUT) :: FLHC,FLQC
REAL, DIMENSION( ims:ime, jms:jme ) , &
INTENT(INOUT) :: &
QGH
REAL, INTENT(IN ) :: CP,G,ROVCP,R,XLV,DX
REAL, OPTIONAL, DIMENSION( ims:ime, jms:jme ) , &
INTENT(OUT) :: ck,cka,cd,cda,ustm
INTEGER, OPTIONAL, INTENT(IN ) :: ISFTCFLX, IZ0TLND
INTEGER, OPTIONAL, INTENT(IN ) :: SCM_FORCE_FLUX
! LOCAL VARS
REAL, DIMENSION( its:ite ) :: U1D, &
V1D, &
QV1D, &
P1D, &
T1D
REAL, DIMENSION( its:ite ) :: dz8w1d
INTEGER :: I,J
DO J=jts,jte
DO i=its,ite
dz8w1d(I) = dz8w(i,1,j)
ENDDO
DO i=its,ite
U1D(i) =U3D(i,1,j)
V1D(i) =V3D(i,1,j)
QV1D(i)=QV3D(i,1,j)
P1D(i) =P3D(i,1,j)
T1D(i) =T3D(i,1,j)
ENDDO
! Sending array starting locations of optional variables may cause
! troubles, so we explicitly change the call.
CALL SFCLAY1D
(J,U1D,V1D,T1D,QV1D,P1D,dz8w1d, &
CP,G,ROVCP,R,XLV,PSFC(ims,j),CHS(ims,j),CHS2(ims,j),&
CQS2(ims,j),CPM(ims,j),PBLH(ims,j), RMOL(ims,j), &
ZNT(ims,j),UST(ims,j),MAVAIL(ims,j),ZOL(ims,j), &
MOL(ims,j),REGIME(ims,j),PSIM(ims,j),PSIH(ims,j), &
FM(ims,j),FH(ims,j), &
XLAND(ims,j),HFX(ims,j),QFX(ims,j),TSK(ims,j), &
U10(ims,j),V10(ims,j),TH2(ims,j),T2(ims,j), &
Q2(ims,j),FLHC(ims,j),FLQC(ims,j),QGH(ims,j), &
QSFC(ims,j),LH(ims,j), &
GZ1OZ0(ims,j),WSPD(ims,j),BR(ims,j),ISFFLX,DX, &
SVP1,SVP2,SVP3,SVPT0,EP1,EP2,KARMAN,EOMEG,STBOLT, &
P1000mb, &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte &
#if ( EM_CORE == 1 )
,isftcflx,iz0tlnd,scm_force_flux, &
USTM(ims,j),CK(ims,j),CKA(ims,j), &
CD(ims,j),CDA(ims,j) &
#endif
)
ENDDO
END SUBROUTINE SFCLAY
!-------------------------------------------------------------------
SUBROUTINE SFCLAY1D(J,UX,VX,T1D,QV1D,P1D,dz8w1d, & 1
CP,G,ROVCP,R,XLV,PSFCPA,CHS,CHS2,CQS2,CPM,PBLH,RMOL, &
ZNT,UST,MAVAIL,ZOL,MOL,REGIME,PSIM,PSIH,FM,FH,&
XLAND,HFX,QFX,TSK, &
U10,V10,TH2,T2,Q2,FLHC,FLQC,QGH, &
QSFC,LH,GZ1OZ0,WSPD,BR,ISFFLX,DX, &
SVP1,SVP2,SVP3,SVPT0,EP1,EP2, &
KARMAN,EOMEG,STBOLT, &
P1000mb, &
ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte, &
isftcflx, iz0tlnd, scm_force_flux, &
ustm,ck,cka,cd,cda )
!-------------------------------------------------------------------
IMPLICIT NONE
!-------------------------------------------------------------------
REAL, PARAMETER :: XKA=2.4E-5
REAL, PARAMETER :: PRT=1.
INTEGER, INTENT(IN ) :: ids,ide, jds,jde, kds,kde, &
ims,ime, jms,jme, kms,kme, &
its,ite, jts,jte, kts,kte, &
J
!
INTEGER, INTENT(IN ) :: ISFFLX
REAL, INTENT(IN ) :: SVP1,SVP2,SVP3,SVPT0
REAL, INTENT(IN ) :: EP1,EP2,KARMAN,EOMEG,STBOLT
REAL, INTENT(IN ) :: P1000mb
!
REAL, DIMENSION( ims:ime ) , &
INTENT(IN ) :: MAVAIL, &
PBLH, &
XLAND, &
TSK
!
REAL, DIMENSION( ims:ime ) , &
INTENT(IN ) :: PSFCPA
REAL, DIMENSION( ims:ime ) , &
INTENT(INOUT) :: REGIME, &
HFX, &
QFX, &
MOL,RMOL
!m the following 5 are changed to memory size---
!
REAL, DIMENSION( ims:ime ) , &
INTENT(INOUT) :: GZ1OZ0,WSPD,BR, &
PSIM,PSIH,FM,FH
REAL, DIMENSION( ims:ime ) , &
INTENT(INOUT) :: ZNT, &
ZOL, &
UST, &
CPM, &
CHS2, &
CQS2, &
CHS
REAL, DIMENSION( ims:ime ) , &
INTENT(INOUT) :: FLHC,FLQC
REAL, DIMENSION( ims:ime ) , &
INTENT(INOUT) :: &
QGH
REAL, DIMENSION( ims:ime ) , &
INTENT(OUT) :: U10,V10, &
TH2,T2,Q2,QSFC,LH
REAL, INTENT(IN ) :: CP,G,ROVCP,R,XLV,DX
! MODULE-LOCAL VARIABLES, DEFINED IN SUBROUTINE SFCLAY
REAL, DIMENSION( its:ite ), INTENT(IN ) :: dz8w1d
REAL, DIMENSION( its:ite ), INTENT(IN ) :: UX, &
VX, &
QV1D, &
P1D, &
T1D
REAL, OPTIONAL, DIMENSION( ims:ime ) , &
INTENT(OUT) :: ck,cka,cd,cda,ustm
INTEGER, OPTIONAL, INTENT(IN ) :: ISFTCFLX, IZ0TLND
INTEGER, OPTIONAL, INTENT(IN ) :: SCM_FORCE_FLUX
! LOCAL VARS
REAL, DIMENSION( its:ite ) :: ZA, &
THVX,ZQKL, &
ZQKLP1, &
THX,QX, &
PSIH2, &
PSIM2, &
PSIH10, &
PSIM10, &
DENOMQ, &
DENOMQ2, &
DENOMT2, &
WSPDI, &
GZ2OZ0, &
GZ10OZ0
!
REAL, DIMENSION( its:ite ) :: &
RHOX,GOVRTH, &
TGDSA
!
REAL, DIMENSION( its:ite) :: SCR3,SCR4
REAL, DIMENSION( its:ite ) :: THGB, PSFC
!
INTEGER :: KL
INTEGER :: N,I,K,KK,L,NZOL,NK,NZOL2,NZOL10
REAL :: PL,THCON,TVCON,E1
REAL :: ZL,TSKV,DTHVDZ,DTHVM,VCONV,RZOL,RZOL2,RZOL10,ZOL2,ZOL10
REAL :: DTG,PSIX,DTTHX,PSIX10,PSIT,PSIT2,PSIQ,PSIQ2,PSIQ10
REAL :: FLUXC,VSGD,Z0Q,VISC,RESTAR,CZIL,RESTAR2
REAL :: ZW, ZN1, ZN2
!-------------------------------------------------------------------
KL=kte
DO i=its,ite
! PSFC cb
PSFC(I)=PSFCPA(I)/1000.
ENDDO
!
!----CONVERT GROUND TEMPERATURE TO POTENTIAL TEMPERATURE:
!
DO 5 I=its,ite
TGDSA(I)=TSK(I)
! PSFC cb
! THGB(I)=TSK(I)*(100./PSFC(I))**ROVCP
THGB(I)=TSK(I)*(P1000mb/PSFCPA(I))**ROVCP
5 CONTINUE
!
!-----DECOUPLE FLUX-FORM VARIABLES TO GIVE U,V,T,THETA,THETA-VIR.,
! T-VIR., QV, AND QC AT CROSS POINTS AND AT KTAU-1.
!
! *** NOTE ***
! THE BOUNDARY WINDS MAY NOT BE ADEQUATELY AFFECTED BY FRICTION,
! SO USE ONLY INTERIOR VALUES OF UX AND VX TO CALCULATE
! TENDENCIES.
!
10 CONTINUE
! DO 24 I=its,ite
! UX(I)=U1D(I)
! VX(I)=V1D(I)
! 24 CONTINUE
26 CONTINUE
!.....SCR3(I,K) STORE TEMPERATURE,
! SCR4(I,K) STORE VIRTUAL TEMPERATURE.
DO 30 I=its,ite
! PL cb
PL=P1D(I)/1000.
SCR3(I)=T1D(I)
! THCON=(100./PL)**ROVCP
THCON=(P1000mb*0.001/PL)**ROVCP
THX(I)=SCR3(I)*THCON
SCR4(I)=SCR3(I)
THVX(I)=THX(I)
QX(I)=0.
30 CONTINUE
!
DO I=its,ite
QGH(I)=0.
FLHC(I)=0.
FLQC(I)=0.
CPM(I)=CP
ENDDO
!
! IF(IDRY.EQ.1)GOTO 80
DO 50 I=its,ite
QX(I)=QV1D(I)
TVCON=(1.+EP1*QX(I))
THVX(I)=THX(I)*TVCON
SCR4(I)=SCR3(I)*TVCON
50 CONTINUE
!
DO 60 I=its,ite
E1=SVP1*EXP(SVP2*(TGDSA(I)-SVPT0)/(TGDSA(I)-SVP3))
! for land points QSFC can come from previous time step
if(xland(i).gt.1.5.or.qsfc(i).le.0.0)QSFC(I)=EP2*E1/(PSFC(I)-E1)
! QGH CHANGED TO USE LOWEST-LEVEL AIR TEMP CONSISTENT WITH MYJSFC CHANGE
! Q2SAT = QGH IN LSM
E1=SVP1*EXP(SVP2*(T1D(I)-SVPT0)/(T1D(I)-SVP3))
PL=P1D(I)/1000.
QGH(I)=EP2*E1/(PL-E1)
CPM(I)=CP*(1.+0.8*QX(I))
60 CONTINUE
80 CONTINUE
!-----COMPUTE THE HEIGHT OF FULL- AND HALF-SIGMA LEVELS ABOVE GROUND
! LEVEL, AND THE LAYER THICKNESSES.
DO 90 I=its,ite
ZQKLP1(I)=0.
RHOX(I)=PSFC(I)*1000./(R*SCR4(I))
90 CONTINUE
!
DO 110 I=its,ite
ZQKL(I)=dz8w1d(I)+ZQKLP1(I)
110 CONTINUE
!
DO 120 I=its,ite
ZA(I)=0.5*(ZQKL(I)+ZQKLP1(I))
120 CONTINUE
!
DO 160 I=its,ite
GOVRTH(I)=G/THX(I)
160 CONTINUE
!-----CALCULATE BULK RICHARDSON NO. OF SURFACE LAYER, ACCORDING TO
! AKB(1976), EQ(12).
DO 260 I=its,ite
GZ1OZ0(I)=ALOG(ZA(I)/ZNT(I))
GZ2OZ0(I)=ALOG(2./ZNT(I))
GZ10OZ0(I)=ALOG(10./ZNT(I))
IF((XLAND(I)-1.5).GE.0)THEN
ZL=ZNT(I)
ELSE
ZL=0.01
ENDIF
WSPD(I)=SQRT(UX(I)*UX(I)+VX(I)*VX(I))
TSKV=THGB(I)*(1.+EP1*QSFC(I))
DTHVDZ=(THVX(I)-TSKV)
! Convective velocity scale Vc and subgrid-scale velocity Vsg
! following Beljaars (1995, QJRMS) and Mahrt and Sun (1995, MWR)
! ... HONG Aug. 2001
!
! VCONV = 0.25*sqrt(g/tskv*pblh(i)*dthvm)
! Use Beljaars over land, old MM5 (Wyngaard) formula over water
if (xland(i).lt.1.5) then
fluxc = max(hfx(i)/rhox(i)/cp &
+ ep1*tskv*qfx(i)/rhox(i),0.)
VCONV = vconvc*(g/tgdsa(i)*pblh(i)*fluxc)**.33
else
IF(-DTHVDZ.GE.0)THEN
DTHVM=-DTHVDZ
ELSE
DTHVM=0.
ENDIF
VCONV = 2.*SQRT(DTHVM)
endif
! Mahrt and Sun low-res correction
VSGD = 0.32 * (max(dx/5000.-1.,0.))**.33
WSPD(I)=SQRT(WSPD(I)*WSPD(I)+VCONV*VCONV+vsgd*vsgd)
WSPD(I)=AMAX1(WSPD(I),0.1)
BR(I)=GOVRTH(I)*ZA(I)*DTHVDZ/(WSPD(I)*WSPD(I))
! IF PREVIOUSLY UNSTABLE, DO NOT LET INTO REGIMES 1 AND 2
IF(MOL(I).LT.0.)BR(I)=AMIN1(BR(I),0.0)
!jdf
RMOL(I)=-GOVRTH(I)*DTHVDZ*ZA(I)*KARMAN
!jdf
260 CONTINUE
!
!-----DIAGNOSE BASIC PARAMETERS FOR THE APPROPRIATED STABILITY CLASS:
!
!
! THE STABILITY CLASSES ARE DETERMINED BY BR (BULK RICHARDSON NO.)
! AND HOL (HEIGHT OF PBL/MONIN-OBUKHOV LENGTH).
!
! CRITERIA FOR THE CLASSES ARE AS FOLLOWS:
!
! 1. BR .GE. 0.2;
! REPRESENTS NIGHTTIME STABLE CONDITIONS (REGIME=1),
!
! 2. BR .LT. 0.2 .AND. BR .GT. 0.0;
! REPRESENTS DAMPED MECHANICAL TURBULENT CONDITIONS
! (REGIME=2),
!
! 3. BR .EQ. 0.0
! REPRESENTS FORCED CONVECTION CONDITIONS (REGIME=3),
!
! 4. BR .LT. 0.0
! REPRESENTS FREE CONVECTION CONDITIONS (REGIME=4).
!
!CCCCC
DO 320 I=its,ite
!CCCCC
!CC REMOVE REGIME 3 DEPENDENCE ON PBL HEIGHT
!CC IF(BR(I).LT.0..AND.HOL(I,J).GT.1.5)GOTO 310
IF(BR(I).LT.0.)GOTO 310
!
!-----CLASS 1; STABLE (NIGHTTIME) CONDITIONS:
!
IF(BR(I).LT.0.2)GOTO 270
REGIME(I)=1.
PSIM(I)=-10.*GZ1OZ0(I)
! LOWER LIMIT ON PSI IN STABLE CONDITIONS
PSIM(I)=AMAX1(PSIM(I),-10.)
PSIH(I)=PSIM(I)
PSIM10(I)=10./ZA(I)*PSIM(I)
PSIM10(I)=AMAX1(PSIM10(I),-10.)
PSIH10(I)=PSIM10(I)
PSIM2(I)=2./ZA(I)*PSIM(I)
PSIM2(I)=AMAX1(PSIM2(I),-10.)
PSIH2(I)=PSIM2(I)
! 1.0 over Monin-Obukhov length
IF(UST(I).LT.0.01)THEN
RMOL(I)=BR(I)*GZ1OZ0(I) !ZA/L
ELSE
RMOL(I)=KARMAN*GOVRTH(I)*ZA(I)*MOL(I)/(UST(I)*UST(I)) !ZA/L
ENDIF
RMOL(I)=AMIN1(RMOL(I),9.999) ! ZA/L
RMOL(I) = RMOL(I)/ZA(I) !1.0/L
GOTO 320
!
!-----CLASS 2; DAMPED MECHANICAL TURBULENCE:
!
270 IF(BR(I).EQ.0.0)GOTO 280
REGIME(I)=2.
PSIM(I)=-5.0*BR(I)*GZ1OZ0(I)/(1.1-5.0*BR(I))
! LOWER LIMIT ON PSI IN STABLE CONDITIONS
PSIM(I)=AMAX1(PSIM(I),-10.)
!.....AKB(1976), EQ(16).
PSIH(I)=PSIM(I)
PSIM10(I)=10./ZA(I)*PSIM(I)
PSIM10(I)=AMAX1(PSIM10(I),-10.)
PSIH10(I)=PSIM10(I)
PSIM2(I)=2./ZA(I)*PSIM(I)
PSIM2(I)=AMAX1(PSIM2(I),-10.)
PSIH2(I)=PSIM2(I)
! Linear form: PSIM = -0.5*ZA/L; e.g, see eqn 16 of
! Blackadar, Modeling the nocturnal boundary layer, Preprints,
! Third Symposium on Atmospheric Turbulence Diffusion and Air Quality,
! Raleigh, NC, 1976
ZOL(I) = BR(I)*GZ1OZ0(I)/(1.00001-5.0*BR(I))
if ( ZOL(I) .GT. 0.5 ) then ! linear form ok
! Holtslag and de Bruin, J. App. Meteor 27, 689-704, 1988;
! see also, Launiainen, Boundary-Layer Meteor 76,165-179, 1995
! Eqn (8) of Launiainen, 1995
ZOL(I) = ( 1.89*GZ1OZ0(I) + 44.2 ) * BR(I)*BR(I) &
+ ( 1.18*GZ1OZ0(I) - 1.37 ) * BR(I)
ZOL(I)=AMIN1(ZOL(I),9.999)
end if
! 1.0 over Monin-Obukhov length
RMOL(I)= ZOL(I)/ZA(I)
GOTO 320
!
!-----CLASS 3; FORCED CONVECTION:
!
280 REGIME(I)=3.
PSIM(I)=0.0
PSIH(I)=PSIM(I)
PSIM10(I)=0.
PSIH10(I)=PSIM10(I)
PSIM2(I)=0.
PSIH2(I)=PSIM2(I)
IF(UST(I).LT.0.01)THEN
ZOL(I)=BR(I)*GZ1OZ0(I)
ELSE
ZOL(I)=KARMAN*GOVRTH(I)*ZA(I)*MOL(I)/(UST(I)*UST(I))
ENDIF
RMOL(I) = ZOL(I)/ZA(I)
GOTO 320
!
!-----CLASS 4; FREE CONVECTION:
!
310 CONTINUE
REGIME(I)=4.
IF(UST(I).LT.0.01)THEN
ZOL(I)=BR(I)*GZ1OZ0(I)
ELSE
ZOL(I)=KARMAN*GOVRTH(I)*ZA(I)*MOL(I)/(UST(I)*UST(I))
ENDIF
ZOL10=10./ZA(I)*ZOL(I)
ZOL2=2./ZA(I)*ZOL(I)
ZOL(I)=AMIN1(ZOL(I),0.)
ZOL(I)=AMAX1(ZOL(I),-9.9999)
ZOL10=AMIN1(ZOL10,0.)
ZOL10=AMAX1(ZOL10,-9.9999)
ZOL2=AMIN1(ZOL2,0.)
ZOL2=AMAX1(ZOL2,-9.9999)
NZOL=INT(-ZOL(I)*100.)
RZOL=-ZOL(I)*100.-NZOL
NZOL10=INT(-ZOL10*100.)
RZOL10=-ZOL10*100.-NZOL10
NZOL2=INT(-ZOL2*100.)
RZOL2=-ZOL2*100.-NZOL2
PSIM(I)=PSIMTB(NZOL)+RZOL*(PSIMTB(NZOL+1)-PSIMTB(NZOL))
PSIH(I)=PSIHTB(NZOL)+RZOL*(PSIHTB(NZOL+1)-PSIHTB(NZOL))
PSIM10(I)=PSIMTB(NZOL10)+RZOL10*(PSIMTB(NZOL10+1)-PSIMTB(NZOL10))
PSIH10(I)=PSIHTB(NZOL10)+RZOL10*(PSIHTB(NZOL10+1)-PSIHTB(NZOL10))
PSIM2(I)=PSIMTB(NZOL2)+RZOL2*(PSIMTB(NZOL2+1)-PSIMTB(NZOL2))
PSIH2(I)=PSIHTB(NZOL2)+RZOL2*(PSIHTB(NZOL2+1)-PSIHTB(NZOL2))
!---LIMIT PSIH AND PSIM IN THE CASE OF THIN LAYERS AND HIGH ROUGHNESS
!--- THIS PREVENTS DENOMINATOR IN FLUXES FROM GETTING TOO SMALL
! PSIH(I)=AMIN1(PSIH(I),0.9*GZ1OZ0(I))
! PSIM(I)=AMIN1(PSIM(I),0.9*GZ1OZ0(I))
PSIH(I)=AMIN1(PSIH(I),0.9*GZ1OZ0(I))
PSIM(I)=AMIN1(PSIM(I),0.9*GZ1OZ0(I))
PSIH2(I)=AMIN1(PSIH2(I),0.9*GZ2OZ0(I))
PSIM10(I)=AMIN1(PSIM10(I),0.9*GZ10OZ0(I))
! AHW: mods to compute ck, cd
PSIH10(I)=AMIN1(PSIH10(I),0.9*GZ10OZ0(I))
RMOL(I) = ZOL(I)/ZA(I)
320 CONTINUE
!
!-----COMPUTE THE FRICTIONAL VELOCITY:
! ZA(1982) EQS(2.60),(2.61).
!
DO 330 I=its,ite
DTG=THX(I)-THGB(I)
PSIX=GZ1OZ0(I)-PSIM(I)
PSIX10=GZ10OZ0(I)-PSIM10(I)
! LOWER LIMIT ADDED TO PREVENT LARGE FLHC IN SOIL MODEL
! ACTIVATES IN UNSTABLE CONDITIONS WITH THIN LAYERS OR HIGH Z0
PSIT=AMAX1(GZ1OZ0(I)-PSIH(I),2.)
IF((XLAND(I)-1.5).GE.0)THEN
ZL=ZNT(I)
ELSE
ZL=0.01
ENDIF
PSIQ=ALOG(KARMAN*UST(I)*ZA(I)/XKA+ZA(I)/ZL)-PSIH(I)
PSIT2=GZ2OZ0(I)-PSIH2(I)
PSIQ2=ALOG(KARMAN*UST(I)*2./XKA+2./ZL)-PSIH2(I)
! AHW: mods to compute ck, cd
PSIQ10=ALOG(KARMAN*UST(I)*10./XKA+10./ZL)-PSIH10(I)
IF ( PRESENT(ISFTCFLX) ) THEN
IF ( ISFTCFLX.EQ.1 .AND. (XLAND(I)-1.5).GE.0. ) THEN
! v3.1
! Z0Q = 1.e-4 + 1.e-3*(MAX(0.,UST(I)-1.))**2
! hfip1
! Z0Q = 0.62*2.0E-5/UST(I) + 1.E-3*(MAX(0.,UST(I)-1.5))**2
! v3.2
Z0Q = 1.e-4
PSIQ=ALOG(ZA(I)/Z0Q)-PSIH(I)
PSIT=PSIQ
PSIQ2=ALOG(2./Z0Q)-PSIH2(I)
PSIQ10=ALOG(10./Z0Q)-PSIH10(I)
PSIT2=PSIQ2
ENDIF
IF ( ISFTCFLX.EQ.2 .AND. (XLAND(I)-1.5).GE.0. ) THEN
! AHW: Garratt formula: Calculate roughness Reynolds number
! Kinematic viscosity of air (linear approc to
! temp dependence at sea levle)
VISC=(1.32+0.009*(SCR3(I)-273.15))*1.E-5
!! VISC=1.5E-5
RESTAR=UST(I)*ZNT(I)/VISC
RESTAR2=2.48*SQRT(SQRT(RESTAR))-2.
PSIT=GZ1OZ0(I)-PSIH(I)+RESTAR2
PSIQ=GZ1OZ0(I)-PSIH(I)+2.28*SQRT(SQRT(RESTAR))-2.
PSIT2=GZ2OZ0(I)-PSIH2(I)+RESTAR2
PSIQ2=GZ2OZ0(I)-PSIH2(I)+2.28*SQRT(SQRT(RESTAR))-2.
PSIQ10=GZ10OZ0(I)-PSIH(I)+2.28*SQRT(SQRT(RESTAR))-2.
ENDIF
ENDIF
IF(PRESENT(ck) .and. PRESENT(cd) .and. PRESENT(cka) .and. PRESENT(cda)) THEN
Ck(I)=(karman/psix10)*(karman/psiq10)
Cd(I)=(karman/psix10)*(karman/psix10)
Cka(I)=(karman/psix)*(karman/psiq)
Cda(I)=(karman/psix)*(karman/psix)
ENDIF
IF ( PRESENT(IZ0TLND) ) THEN
IF ( IZ0TLND.EQ.1 .AND. (XLAND(I)-1.5).LE.0. ) THEN
ZL=ZNT(I)
! CZIL RELATED CHANGES FOR LAND
VISC=(1.32+0.009*(SCR3(I)-273.15))*1.E-5
RESTAR=UST(I)*ZL/VISC
! Modify CZIL according to Chen & Zhang, 2009
CZIL = 10.0 ** ( -0.40 * ( ZL / 0.07 ) )
PSIT=GZ1OZ0(I)-PSIH(I)+CZIL*KARMAN*SQRT(RESTAR)
PSIQ=GZ1OZ0(I)-PSIH(I)+CZIL*KARMAN*SQRT(RESTAR)
PSIT2=GZ2OZ0(I)-PSIH2(I)+CZIL*KARMAN*SQRT(RESTAR)
PSIQ2=GZ2OZ0(I)-PSIH2(I)+CZIL*KARMAN*SQRT(RESTAR)
ENDIF
ENDIF
! TO PREVENT OSCILLATIONS AVERAGE WITH OLD VALUE
UST(I)=0.5*UST(I)+0.5*KARMAN*WSPD(I)/PSIX
! TKE coupling: compute ust without vconv for use in tke scheme
WSPDI(I)=SQRT(UX(I)*UX(I)+VX(I)*VX(I))
IF ( PRESENT(USTM) ) THEN
USTM(I)=0.5*USTM(I)+0.5*KARMAN*WSPDI(I)/PSIX
ENDIF
U10(I)=UX(I)*PSIX10/PSIX
V10(I)=VX(I)*PSIX10/PSIX
TH2(I)=THGB(I)+DTG*PSIT2/PSIT
Q2(I)=QSFC(I)+(QX(I)-QSFC(I))*PSIQ2/PSIQ
! T2(I) = TH2(I)*(PSFC(I)/100.)**ROVCP
T2(I) = TH2(I)*(PSFCPA(I)/P1000mb)**ROVCP
! LATER Q2 WILL BE OVERWRITTEN FOR LAND POINTS IN SURFCE
! QA2(I,J) = Q2(I)
! UA10(I,J) = U10(I)
! VA10(I,J) = V10(I)
! write(*,1002)UST(I),KARMAN*WSPD(I),PSIX,KARMAN*WSPD(I)/PSIX
!
IF((XLAND(I)-1.5).LT.0.)THEN
UST(I)=AMAX1(UST(I),0.1)
ENDIF
MOL(I)=KARMAN*DTG/PSIT/PRT
DENOMQ(I)=PSIQ
DENOMQ2(I)=PSIQ2
DENOMT2(I)=PSIT2
FM(I)=PSIX
FH(I)=PSIT
330 CONTINUE
!
335 CONTINUE
!-----COMPUTE THE SURFACE SENSIBLE AND LATENT HEAT FLUXES:
IF ( PRESENT(SCM_FORCE_FLUX) ) THEN
IF (SCM_FORCE_FLUX.EQ.1) GOTO 350
ENDIF
DO i=its,ite
QFX(i)=0.
HFX(i)=0.
ENDDO
350 CONTINUE
IF (ISFFLX.EQ.0) GOTO 410
!-----OVER WATER, ALTER ROUGHNESS LENGTH (ZNT) ACCORDING TO WIND (UST).
DO 360 I=its,ite
IF((XLAND(I)-1.5).GE.0)THEN
ZNT(I)=CZO*UST(I)*UST(I)/G+OZO
! AHW: change roughness length, and hence the drag coefficients Ck and Cd
IF ( PRESENT(ISFTCFLX) ) THEN
IF ( ISFTCFLX.NE.0 ) THEN
! ZNT(I)=10.*exp(-9.*UST(I)**(-.3333))
! ZNT(I)=10.*exp(-9.5*UST(I)**(-.3333))
! ZNT(I)=ZNT(I) + 0.11*1.5E-5/AMAX1(UST(I),0.01)
! ZNT(I)=0.011*UST(I)*UST(I)/G+OZO
! ZNT(I)=MAX(ZNT(I),3.50e-5)
! AHW 2012:
ZW = MIN((UST(I)/1.06)**(0.3),1.0)
ZN1 = 0.011*UST(I)*UST(I)/G + OZO
ZN2 = 10.*exp(-9.5*UST(I)**(-.3333)) + &
0.11*1.5E-5/AMAX1(UST(I),0.01)
ZNT(I)=(1.0-ZW) * ZN1 + ZW * ZN2
ZNT(I)=MIN(ZNT(I),2.85e-3)
ZNT(I)=MAX(ZNT(I),1.27e-7)
ENDIF
ENDIF
ZL = ZNT(I)
ELSE
ZL = 0.01
ENDIF
FLQC(I)=RHOX(I)*MAVAIL(I)*UST(I)*KARMAN/DENOMQ(I)
! FLQC(I)=RHOX(I)*MAVAIL(I)*UST(I)*KARMAN/( &
! ALOG(KARMAN*UST(I)*ZA(I)/XKA+ZA(I)/ZL)-PSIH(I))
DTTHX=ABS(THX(I)-THGB(I))
IF(DTTHX.GT.1.E-5)THEN
FLHC(I)=CPM(I)*RHOX(I)*UST(I)*MOL(I)/(THX(I)-THGB(I))
! write(*,1001)FLHC(I),CPM(I),RHOX(I),UST(I),MOL(I),THX(I),THGB(I),I
1001 format(f8.5,2x,f12.7,2x,f12.10,2x,f12.10,2x,f13.10,2x,f12.8,f12.8,2x,i3)
ELSE
FLHC(I)=0.
ENDIF
360 CONTINUE
!
!-----COMPUTE SURFACE MOIST FLUX:
!
! IF(IDRY.EQ.1)GOTO 390
IF ( PRESENT(SCM_FORCE_FLUX) ) THEN
IF (SCM_FORCE_FLUX.EQ.1) GOTO 405
ENDIF
!
DO 370 I=its,ite
QFX(I)=FLQC(I)*(QSFC(I)-QX(I))
QFX(I)=AMAX1(QFX(I),0.)
LH(I)=XLV*QFX(I)
370 CONTINUE
!-----COMPUTE SURFACE HEAT FLUX:
!
390 CONTINUE
DO 400 I=its,ite
IF(XLAND(I)-1.5.GT.0.)THEN
HFX(I)=FLHC(I)*(THGB(I)-THX(I))
IF ( PRESENT(ISFTCFLX) ) THEN
IF ( ISFTCFLX.NE.0 ) THEN
! AHW: add dissipative heating term
HFX(I)=HFX(I)+RHOX(I)*USTM(I)*USTM(I)*WSPDI(I)
ENDIF
ENDIF
ELSEIF(XLAND(I)-1.5.LT.0.)THEN
HFX(I)=FLHC(I)*(THGB(I)-THX(I))
HFX(I)=AMAX1(HFX(I),-250.)
ENDIF
400 CONTINUE
405 CONTINUE
DO I=its,ite
IF((XLAND(I)-1.5).GE.0)THEN
ZL=ZNT(I)
ELSE
ZL=0.01
ENDIF
CHS(I)=UST(I)*KARMAN/DENOMQ(I)
! GZ2OZ0(I)=ALOG(2./ZNT(I))
! PSIM2(I)=-10.*GZ2OZ0(I)
! PSIM2(I)=AMAX1(PSIM2(I),-10.)
! PSIH2(I)=PSIM2(I)
CQS2(I)=UST(I)*KARMAN/DENOMQ2(I)
CHS2(I)=UST(I)*KARMAN/DENOMT2(I)
ENDDO
410 CONTINUE
!jdf
! DO I=its,ite
! IF(UST(I).GE.0.1) THEN
! RMOL(I)=RMOL(I)*(-FLHC(I))/(UST(I)*UST(I)*UST(I))
! ELSE
! RMOL(I)=RMOL(I)*(-FLHC(I))/(0.1*0.1*0.1)
! ENDIF
! ENDDO
!jdf
!
END SUBROUTINE SFCLAY1D
!====================================================================
SUBROUTINE sfclayinit( allowed_to_read ) 2
LOGICAL , INTENT(IN) :: allowed_to_read
INTEGER :: N
REAL :: ZOLN,X,Y
DO N=0,1000
ZOLN=-FLOAT(N)*0.01
X=(1-16.*ZOLN)**0.25
PSIMTB(N)=2*ALOG(0.5*(1+X))+ALOG(0.5*(1+X*X))- &
2.*ATAN(X)+2.*ATAN(1.)
Y=(1-16*ZOLN)**0.5
PSIHTB(N)=2*ALOG(0.5*(1+Y))
ENDDO
END SUBROUTINE sfclayinit
!-------------------------------------------------------------------
END MODULE module_sf_sfclay