C $Header: /u/gcmpack/MITgcm/pkg/ebm/ebm_atmosphere.F,v 1.4 2004/07/28 19:54:37 heimbach Exp $
C $Name: $
#include "EBM_OPTIONS.h"
SUBROUTINE EBM_ATMOSPHERE ( myTime, myiter, myThid )
C |==========================================================|
C | S/R CALCULATE FORCING FROM ENERGY AND MOISTURE |
C | BALANCE ATMOSPHERE |
C |==========================================================|
C References:
C * X. Wang, P. Stone and J. Marotzke, 1999:
C Global thermohaline circulation. Part I:
C Sensitivity to atmospheric moisture transport.
C J. Climate 12(1), 71-82
C * X. Wang, P. Stone and J. Marotzke, 1999:
C Global thermohaline circulation. Part II:
C Sensitivity with interactive transport.
C J. Climate 12(1), 83-91
C * M. Nakamura, P. Stone and J. Marotzke, 1994:
C Destabilization of the thermohaline circulation
C by atmospheric eddy transports.
C J. Climate 7(12), 1870-1882
IMPLICIT NONE
C === Global variables ===
#include "SIZE.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
#include "FFIELDS.h"
#include "DYNVARS.h"
#include "GRID.h"
#ifdef ALLOW_EBM
# include "EBM.h"
#endif
#ifdef ALLOW_AUTODIFF_TAMC
# include "tamc.h"
# include "tamc_keys.h"
#endif
C === Routine arguments ===
C myThid - Instance number for this innvocation of CALC_FORCING
INTEGER myThid
INTEGER myIter
_RL myTime
CEndOfInterface
#ifdef ALLOW_EBM
C == Local variables ==
_RL Dy
_RL ReCountX(1-OLy:sNy+OLy,nSy)
INTEGER bi, bj
INTEGER i, j
INTEGER no_so
INTEGER iebmkey
LOGICAL TOP_LAYER
C-- Top layer only
cph TOP_LAYER = k .EQ. 1
cph IF ( TOP_LAYER ) THEN
DO bj=myByLo(myThid),myByHi(myThid)
DO bi=myBxLo(myThid),myBxHi(myThid)
#ifdef ALLOW_AUTODIFF_TAMC
act1 = bi - myBxLo(myThid)
max1 = myBxHi(myThid) - myBxLo(myThid) + 1
act2 = bj - myByLo(myThid)
max2 = myByHi(myThid) - myByLo(myThid) + 1
act3 = myThid - 1
max3 = nTx*nTy
act4 = ikey_dynamics - 1
iebmkey = (act1 + 1) + act2*max1
& + act3*max1*max2
& + act4*max1*max2*max3
#endif /* ALLOW_AUTODIFF_TAMC */
DO j=1-oLy,sNy+oLy
DO i=1-oLx,sNx+oLx
S(i,j,bj) = 0.0
P2(i,j,bj) = 0.0
P4(i,j,bj) = 0.0
ENDDO
SW(j,bj) = 0.0
LW(j,bj) = 0.0
Hd(j,bj) = 0.0
Fw(j,bj) = 0.0
T(j,bj) = 0.0
ReCountX(j,bj) = 0.0
ENDDO
print *, 'SH', TmlS-t_mlt, TtS-t_mlt
print *, 'NH', TmlN-t_mlt, TtN-t_mlt
C-- account for ice (can absorb heat on an annual averaged basis)
C-- Greenland in Northern Hemisphere, Antarctica in Southern
DO j = 1,sNy
ReCountX(j,bj) = CountX(j,bj)
IF (yC(1,j,bi,bj) .LE. -62.0) THEN
ReCountX(j,bj) = 90.
ELSE IF (yC(1,j,bi,bj) .EQ. 74.0) THEN
ReCountX(j,bj) = CountX(j,bj) + 9.0
ELSE IF (yC(1,j,bi,bj) .EQ. 70.0) THEN
ReCountX(j,bj) = CountX(j,bj) + 8.0
ELSE IF (yC(1,j,bi,bj) .EQ. 66.0) THEN
ReCountX(j,bj) = CountX(j,bj) + 5.0
ELSE IF (yC(1,j,bi,bj) .EQ. 62.0) THEN
ReCountX(j,bj) = CountX(j,bj) + 1.0
ENDIF
ENDDO
#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE ReCountX(:,bj) = comlev1_bibj, key=iebmkey, byte=isbyte
#endif
c=====================================================
c Fit area-weighed averaged SST north/south of 34
c degree to second Legendre polynomial:
c=======================================================
T_var(1) = SIN(lat(2)*deg2rad) - SIN(lat(1)*deg2rad)
T_var(2) = SIN(lat(3)*deg2rad) - SIN(lat(2)*deg2rad)
T_var(3) = SIN(lat(2)*deg2rad)**3. - SIN(lat(1)*deg2rad)**3.
T_var(4) = SIN(lat(3)*deg2rad)**3. - SIN(lat(2)*deg2rad)**3.
#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE T_var(:) = comlev1_bibj, key=iebmkey, byte=isbyte
#endif
c----------------------------------------
c Southern hemisphere:
c----------------------------------------
T2(1) = 2.*(TtS - TmlS)*T_var(1)*T_var(2)/
< (T_var(3)*T_var(2) - T_var(4)*T_var(1))
T0(1) = TtS - 0.5*T2(1)*((T_var(3)/T_var(1)) - 1.)
c----------------------------------------
c Northern hemisphere
c----------------------------------------
T2(2) = 2.*(TtN - TmlN)*T_var(1)*T_var(2)/
< (T_var(3)*T_var(2) - T_var(4)*T_var(1))
T0(2) = TtN - 0.5*T2(2)*((T_var(3)/T_var(1)) - 1.)
c-----------------------------------------
c Temperature at 35 N/S
c-----------------------------------------
DO no_so = 1,2
T35(no_so)= T0(no_so) +
< T2(no_so)*0.5*
< ((3.*SIN(lat(2)*deg2rad)**2. - 1.))
ENDDO
c-----------------------------------------
c Temperature gradient at 35 N/S
c-----------------------------------------
DO no_so = 1, 2
DTDy35(no_so) = 3.*T2(no_so)*
< SIN(lat(2)*deg2rad)/rSphere
ENDDO
c-----------------------------------------------------------
c Magnitude of the heat and moisture transport at 35 N/S
c-----------------------------------------------------------
#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE T35(:) = comlev1_bibj, key=iebmkey, byte=isbyte
CADJ STORE DTDy35(:) = comlev1_bibj, key=iebmkey, byte=isbyte
#endif
DO no_so = 1, 2
IF ( DTDy35(no_so).NE.0. .AND. T35(no_so).NE.0. ) THEN
gamma = -T35(no_so)*beta*Hw*Nw*Nw/
< (gravity*f0*DTDy35(no_so))
kappa = Hw/(1 + gamma)
De = Hw/(0.48 + 1.48*gamma)
C = 0.6*gravity*kappa*kappa*Nw/
< (Tw*f0*f0)
Cs = rho_air*cp*C*
< (1/(1/Hw+1/De) - 1/(1/Hw+1/De+1/dz))
Cf = htil*2.97e12*C/(T35(no_so)**3)*(
< 1/(1/De + (5420*tau /(T35(no_so)**2)))
< - 1/(1/De+5420*tau/(T35(no_so)**2)+1/dz))
Cl = Cf*lv
Hd35(no_so) = 2.*PI*rSphere*COS(lat(2)*deg2rad)
< *(Cs + Cl*exp(-5420./T35(no_so)))
< *(abs(DTDy35(no_so))**trans_eff)
Fw35(no_so) = 2.*PI*rSphere*COS(lat(2)*deg2rad)
< *(abs(DTDy35(no_so))**trans_eff)
< *Cf*exp(-5420./T35(no_so))
ELSE
Hd35(no_so) = 0.
Fw35(no_so) = 0.
ENDIF
ENDDO
c
Fw35(1) = 929944128.
Fw35(2) = 678148032.
c
#ifdef EBM_VERSION_1BASIN
c Fw35(2) = 0.7*Fw35(2)
#else
Hd35(2) = 1.6*Hd35(2)
#endif
c======================================================
c Calculation of latitudinal profiles
c======================================================
c
DO j=1,sNy
DO i=1,sNx
C sin(lat)
S(i,j,bj) = sin(yC(i,j,bi,bj)*deg2rad)
C setup Legendre polynomials and derivatives
P2(i,j,bj) = 0.5*(3.*S(i,j,bj)**2 - 1.)
P4(i,j,bj) = 0.12*(35.*S(i,j,bj)**4 - 30.*S(i,j,bj)**2 + 3.)
ENDDO
ENDDO
#ifdef ALLOW_AUTODIFF_TAMC
CADJ STORE S(:,:,bj) = comlev1_bibj, key=iebmkey, byte=isbyte
CADJ STORE P2(:,:,bj) = comlev1_bibj, key=iebmkey, byte=isbyte
CADJ STORE P4(:,:,bj) = comlev1_bibj, key=iebmkey, byte=isbyte
#endif
c
DO j=1,sNy
DO i=1,sNx
IF (yC(i,j,bi,bj) .LT. 0.) THEN
no_so = 1
ELSE
no_so = 2
ENDIF
c net shortwave
SW(j,bj) = 0.25*Q0*(1 + Q2*P2(i,j,bj))*
< (1 - A0 - A2*P2(i,j,bj) - A4*P4(i,j,bj) )
c temperature
T(j,bj) = T0(no_so) + T2(no_so)*P2(i,j,bj)
c net longwave
LW(j,bj) = LW0 + LW1*(T(j,bj)-t_mlt)
c climate change run, the parameter to change is DLW
#ifdef EBM_CLIMATE_CHANGE
LW(j,bj) = LW(j,bj) -
< (myTime-startTime)*3.215e-8*DLW
c < - 6.0
c < *75.0*0.0474*
c < (-2.62*S(i,j,bj)**8 + 0.73*S(i,j,bj)**7 +
c < 4.82*S(i,j,bj)**6 -
c < 1.12*S(i,j,bj)**5 - 2.69*S(i,j,bj)**4 + 0.47*S(i,j,bj)**3 +
c < 0.51*S(i,j,bj)**2 - 0.05*S(i,j,bj)**1 + 0.17)
#endif
c fluxes at ocean/atmosphere interface
c Heat Flux = -Div(atmospheric heat transport) + SW - LW
#ifdef EBM_VERSION_1BASIN
Qnet(i,j,bi,bj) = -1.0*( SW(j,bj) - LW(j,bj) -
< Hd35(no_so)*(
< 0.000728e4 - 0.00678e4*S(i,j,bj) +
< 0.0955e4*S(i,j,bj)**2 + 0.0769e4*S(i,j,bj)**3 -
< 0.8508e4*S(i,j,bj)**4 - 0.3581e4*S(i,j,bj)**5 +
< 2.9240e4*S(i,j,bj)**6 + 0.8311e4*S(i,j,bj)**7 -
< 4.9548e4*S(i,j,bj)**8 - 0.8808e4*S(i,j,bj)**9 +
< 4.0644e4*S(i,j,bj)**10 +0.3409e4*S(i,j,bj)**11 -
< 1.2893e4*S(i,j,bj)**12 )
< /(2*PI*rSphere*rSphere*25.0) )
c Qnet(i,j,bi,bj) = -1.0*( SW(j,bj) - LW(j,bj) -
c < 0.5*Hd35(no_so)*(3.054e1 - 3.763e1*S(i,j,bj) +
c < 1.892e2*S(i,j,bj)**2 + 3.041e2*S(i,j,bj)**3 -
c < 1.540e3*S(i,j,bj)**4 - 9.586e2*S(i,j,bj)**5 +
c < 2.939e3*S(i,j,bj)**6 + 1.219e3*S(i,j,bj)**7 -
c < 2.550e3*S(i,j,bj)**8 - 5.396e2*S(i,j,bj)**9 +
c < 8.119e2*S(i,j,bj)**10)
c < /(2*PI*rSphere*rSphere*22.3) )
#else
IF (ReCountX(j,bj) .GT. 0.) THEN
Qnet(i,j,bi,bj) = (-90./ReCountX(j,bj))*
< ( SW(j,bj) - LW(j,bj) -
< Hd35(no_so)*(3.054e1 - 3.763e1*S(i,j,bj) +
< 1.892e2*S(i,j,bj)**2 + 3.041e2*S(i,j,bj)**3 -
< 1.540e3*S(i,j,bj)**4 - 9.586e2*S(i,j,bj)**5 +
< 2.939e3*S(i,j,bj)**6 + 1.219e3*S(i,j,bj)**7 -
< 2.550e3*S(i,j,bj)**8 - 5.396e2*S(i,j,bj)**9 +
< 8.119e2*S(i,j,bj)**10)
< /(2*PI*rSphere*rSphere*22.3) )
ELSE
Qnet(i,j,bi,bj) = 0.
ENDIF
#endif
c Freshwater Flux = Div(atmospheric moisture transport)
c--- conversion of E-P from kg/(s m^2) -> m/s -> psu/s: 1e-3*35/delZ(1)
#ifdef EBM_VERSION_1BASIN
EmPmR(i,j,bi,bj) = -1.e-3*Fw35(no_so)
< *(-0.8454e5*S(i,j,bj)**14 + 0.5367e5*S(i,j,bj)**13
< +3.3173e5*S(i,j,bj)**12 - 1.8965e5*S(i,j,bj)**11
< -5.1701e5*S(i,j,bj)**10
< +2.6240e5*S(i,j,bj)**9 + 4.077e5*S(i,j,bj)**8
< -1.791e5*S(i,j,bj)**7
< -1.7231e5*S(i,j,bj)**6 + 0.6229e5*S(i,j,bj)**5
< +0.3824e5*S(i,j,bj)**4
< -0.1017e5*S(i,j,bj)**3 - 0.0387e5*S(i,j,bj)**2
< +0.00562e5*S(i,j,bj) + 0.0007743e5)
< /(2.0*12.0*PI*rSphere*rSphere)
c EmPmR(i,j,bi,bj) = 1.e-3*Fw35(no_so)
c < *(50.0 + 228.0*S(i,j,bj) -1.593e3*S(i,j,bj)**2
c < - 2.127e3*S(i,j,bj)**3 + 7.3e3*S(i,j,bj)**4
c < + 5.799e3*S(i,j,bj)**5 - 1.232e4*S(i,j,bj)**6
c < - 6.389e3*S(i,j,bj)**7 + 9.123e3*S(i,j,bj)**8
c < + 2.495e3*S(i,j,bj)**9 - 2.567e3*S(i,j,bj)**10)
c < /(2*PI*rSphere*rSphere*15.0)
#else
IF (yC(i,j,bi,bj) .LT. -40.) THEN
c-- Southern Hemisphere
EmPmR(i,j,bi,bj) = -1.e-3*(Fw35(no_so)*
< (-6.5 + 35.3 + 71.7*S(i,j,bj)
< - 1336.3*S(i,j,bj)**2 - 425.8*S(i,j,bj)**3
< + 5434.8*S(i,j,bj)**4 + 707.9*S(i,j,bj)**5
< - 6987.7*S(i,j,bj)**6 - 360.4*S(i,j,bj)**7
< + 2855.0*S(i,j,bj)**8)
< /(2*PI*rSphere*rSphere*18.0))
ELSE
c-- Atlantic
IF (xC(i,j,bi,bj) .GT. 284.
< .OR. xC(i,j,bi,bj) .LT. 28.) THEN
EmPmR(i,j,bi,bj) = -1.e-3*(Fw35(no_so)*
< (-6.5 -2.878 + 3.157e2*S(i,j,bj) -
< 2.388e3*S(i,j,bj)**2 - 4.101e3*S(i,j,bj)**3 +
< 1.963e4*S(i,j,bj)**4 + 1.534e4*S(i,j,bj)**5 -
< 6.556e4*S(i,j,bj)**6 - 2.478e4*S(i,j,bj)**7 +
< 1.083e5*S(i,j,bj)**8 + 1.85e4*S(i,j,bj)**9 -
< 8.703e4*S(i,j,bj)**10 - 5.276e3*S(i,j,bj)**11 +
< 2.703e4*S(i,j,bj)**12)
< /(2*PI*rSphere*rSphere*12.0))
ELSE
c-- Pacific
EmPmR(i,j,bi,bj) = -1.e-3*(Fw35(no_so)
< *(-6.5 +51.89 + 4.916e2*S(i,j,bj) -
< 1.041e3*S(i,j,bj)**2 - 7.546e3*S(i,j,bj)**3 +
< 2.335e3*S(i,j,bj)**4 + 3.449e4*S(i,j,bj)**5 +
< 6.702e3*S(i,j,bj)**6 - 6.601e4*S(i,j,bj)**7 -
< 2.594e4*S(i,j,bj)**8 + 5.652e4*S(i,j,bj)**9 +
< 2.738e4*S(i,j,bj)**10 - 1.795e4*S(i,j,bj)**11 -
< 9.486e3*S(i,j,bj)**12)
< /(2*PI*rSphere*rSphere*12.0))
ENDIF
ENDIF
#endif
ENDDO
ENDDO
ENDDO
ENDDO
_EXCH_XY_R4(Qnet , myThid )
_EXCH_XY_R4(EmPmR , myThid )
C CALL PLOT_FIELD_XYRS( Qnet, 'Qnet' , 1, myThid )
C CALL PLOT_FIELD_XYRS( EmPmR, 'EmPmR' , 1, myThid )
cph end of IF TOP_LAYER
cph ENDIF
#endif /* ALLOW_EBM */
END