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C $Header: /u/gcmpack/MITgcm/pkg/ebm/ebm_atmosphere.F,v 1.1 2004/05/14 21:10:34 heimbach Exp $ |
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C $Name: $ |
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|
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#include "EBM_OPTIONS.h" |
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|
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SUBROUTINE EBM_ATMOSPHERE ( myTime, myiter, myThid ) |
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|
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C |==========================================================| |
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C | S/R CALCULATE FORCING FROM ENERGY AND MOISTURE | |
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C | BALANCE ATMOSPHERE | |
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C |==========================================================| |
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C References: |
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C * X. Wang, P. Stone and J. Marotzke, 1999: |
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C Global thermohaline circulation. Part I: |
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C Sensitivity to atmospheric moisture transport. |
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C J. Climate 12(1), 71-82 |
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C * X. Wang, P. Stone and J. Marotzke, 1999: |
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C Global thermohaline circulation. Part II: |
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C Sensitivity with interactive transport. |
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C J. Climate 12(1), 83-91 |
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C * M. Nakamura, P. Stone and J. Marotzke, 1994: |
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C Destabilization of the thermohaline circulation |
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C by atmospheric eddy transports. |
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C J. Climate 7(12), 1870-1882 |
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|
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IMPLICIT NONE |
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|
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C === Global variables === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "FFIELDS.h" |
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#include "DYNVARS.h" |
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#include "GRID.h" |
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#ifdef ALLOW_EBM |
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# include "EBM.h" |
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#endif |
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|
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C === Routine arguments === |
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C myThid - Instance number for this innvocation of CALC_FORCING |
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INTEGER myThid |
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INTEGER myIter |
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_RL myTime |
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CEndOfInterface |
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|
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#ifdef ALLOW_EBM |
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|
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C == Local variables == |
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_RL Dy |
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_RL ReCountX(1-OLy:sNy+OLy,nSy) |
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INTEGER bi, bj |
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INTEGER i, j |
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INTEGER no_so |
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LOGICAL TOP_LAYER |
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|
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C-- Top layer only |
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cph TOP_LAYER = k .EQ. 1 |
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|
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cph IF ( TOP_LAYER ) THEN |
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|
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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|
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DO j=1,sNy |
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S(j,bj) = 0.0 |
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P2(j,bj) = 0.0 |
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P4(j,bj) = 0.0 |
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SW(j,bj) = 0.0 |
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LW(j,bj) = 0.0 |
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Hd(j,bj) = 0.0 |
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Fw(j,bj) = 0.0 |
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T(j,bj) = 0.0 |
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ReCountX(j,bj) = 0.0 |
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ENDDO |
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|
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print *, 'SH', TmlS-t_mlt, TtS-t_mlt |
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print *, 'NH', TmlN-t_mlt, TtN-t_mlt |
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|
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C-- account for ice (can absorb heat on an annual averaged basis) |
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C-- Greenland in Northern Hemisphere, Antarctica in Southern |
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DO j = 1,sNy |
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ReCountX(j,bj) = CountX(j,bj) |
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IF (yC(1,j,bi,bj) .LE. -62.0) THEN |
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ReCountX(j,bj) = 90. |
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ELSE IF (yC(1,j,bi,bj) .EQ. 74.0) THEN |
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ReCountX(j,bj) = CountX(j,bj) + 9.0 |
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ELSE IF (yC(1,j,bi,bj) .EQ. 70.0) THEN |
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ReCountX(j,bj) = CountX(j,bj) + 8.0 |
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ELSE IF (yC(1,j,bi,bj) .EQ. 66.0) THEN |
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ReCountX(j,bj) = CountX(j,bj) + 5.0 |
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ELSE IF (yC(1,j,bi,bj) .EQ. 62.0) THEN |
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ReCountX(j,bj) = CountX(j,bj) + 1.0 |
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ENDIF |
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ENDDO |
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|
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|
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c===================================================== |
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c Fit area-weighed averaged SST north/south of 34 |
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c degree to second Legendre polynomial: |
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c======================================================= |
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T_var(1) = SIN(lat(2)*deg2rad) - SIN(lat(1)*deg2rad) |
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T_var(2) = SIN(lat(3)*deg2rad) - SIN(lat(2)*deg2rad) |
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T_var(3) = SIN(lat(2)*deg2rad)**3. - SIN(lat(1)*deg2rad)**3. |
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T_var(4) = SIN(lat(3)*deg2rad)**3. - SIN(lat(2)*deg2rad)**3. |
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|
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c---------------------------------------- |
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c Southern hemisphere: |
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c---------------------------------------- |
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T2(1) = 2.*(TtS - TmlS)*T_var(1)*T_var(2)/ |
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< (T_var(3)*T_var(2) - T_var(4)*T_var(1)) |
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T0(1) = TtS - 0.5*T2(1)*((T_var(3)/T_var(1)) - 1.) |
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c---------------------------------------- |
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c Northern hemisphere |
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c---------------------------------------- |
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T2(2) = 2.*(TtN - TmlN)*T_var(1)*T_var(2)/ |
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< (T_var(3)*T_var(2) - T_var(4)*T_var(1)) |
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T0(2) = TtN - 0.5*T2(2)*((T_var(3)/T_var(1)) - 1.) |
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c----------------------------------------- |
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c Temperature at 35 N/S |
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c----------------------------------------- |
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DO no_so = 1,2 |
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T35(no_so)= T0(no_so) + |
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< T2(no_so)*0.5* |
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< ((3.*SIN(lat(2)*deg2rad)**2. - 1.)) |
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ENDDO |
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c----------------------------------------- |
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c Temperature gradient at 35 N/S |
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c----------------------------------------- |
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DO no_so = 1, 2 |
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DTDy35(no_so) = 3.*T2(no_so)* |
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< SIN(lat(2)*deg2rad)/rSphere |
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ENDDO |
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c----------------------------------------------------------- |
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c Magnitude of the heat and moisture transport at 35 N/S |
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c----------------------------------------------------------- |
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|
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|
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DO no_so = 1, 2 |
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gamma = -T35(no_so)*beta*Hw*Nw*Nw/ |
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< (gravity*f0*DTDy35(no_so)) |
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kappa = Hw/(1 + gamma) |
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De = Hw/(0.48 + 1.48*gamma) |
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C = 0.6*gravity*kappa*kappa*Nw/ |
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< (Tw*f0*f0) |
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Cs = rho_air*cp*C* |
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< (1/(1/Hw+1/De) - 1/(1/Hw+1/De+1/dz)) |
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Cf = htil*2.97e12*C/(T35(no_so)**3)*( |
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< 1/(1/De + (5420*tau /(T35(no_so)**2))) |
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< - 1/(1/De+5420*tau/(T35(no_so)**2)+1/dz)) |
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Cl = Cf*lv |
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Hd35(no_so) = 2.*PI*rSphere*COS(lat(2)*deg2rad) |
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< *(Cs + Cl*exp(-5420./T35(no_so))) |
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< *(abs(DTDy35(no_so))**trans_eff) |
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Fw35(no_so) = 2.*PI*rSphere*COS(lat(2)*deg2rad) |
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< *(abs(DTDy35(no_so))**trans_eff) |
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< *Cf*exp(-5420./T35(no_so)) |
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c write(0,*) no_so, Hd35(no_so), Fw35(no_so) |
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ENDDO |
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Fw35(1) = 929944128. |
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Fw35(2) = 678148032. |
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#ifdef EBM_VERSION_1BASIN |
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c Fw35(2) = 0.7*Fw35(2) |
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#else |
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Hd35(2) = 1.6*Hd35(2) |
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#endif |
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c====================================================== |
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c Calculation of latitudinal profiles |
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c====================================================== |
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c |
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DO j=1,sNy |
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DO i=1,sNx |
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|
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IF (yC(i,j,bi,bj) .LT. 0.) THEN |
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no_so = 1 |
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ELSE |
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no_so = 2 |
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ENDIF |
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C sin(lat) |
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S(j,bj) = sin(yC(i,j,bi,bj)*deg2rad) |
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C setup Legendre polynomials and derivatives |
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P2(j,bj) = 0.5*(3.*S(j,bj)**2 - 1.) |
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P4(j,bj) = 0.12*(35.*S(j,bj)**4 - 30.*S(j,bj)**2 + 3.) |
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c net shortwave |
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SW(j,bj) = 0.25*Q0*(1 + Q2*P2(j,bj))* |
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< (1 - A0 - A2*P2(j,bj) - A4*P4(j,bj) ) |
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c temperature |
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T(j,bj) = T0(no_so) + T2(no_so)*P2(j,bj) |
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c net longwave |
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LW(j,bj) = LW0 + LW1*(T(j,bj)-t_mlt) |
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c climate change run, the parameter to change is DLW |
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#ifdef EBM_CLIMATE_CHANGE |
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LW(j,bj) = LW(j,bj) - |
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< (myTime-startTime)*3.215e-8*DLW |
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c < - 6.0 |
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c < *75.0*0.0474* |
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c < (-2.62*S(j,bj)**8 + 0.73*S(j,bj)**7 + |
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c < 4.82*S(j,bj)**6 - |
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c < 1.12*S(j,bj)**5 - 2.69*S(j,bj)**4 + 0.47*S(j,bj)**3 + |
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c < 0.51*S(j,bj)**2 - 0.05*S(j,bj)**1 + 0.17) |
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#endif |
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c fluxes at ocean/atmosphere interface |
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c Heat Flux = -Div(atmospheric heat transport) + SW - LW |
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#ifdef EBM_VERSION_1BASIN |
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Qnet(i,j,bi,bj) = -1.0*( SW(j,bj) - LW(j,bj) - |
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< Hd35(no_so)*( |
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< 0.000728e4 - 0.00678e4*S(j,bj) + |
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< 0.0955e4*S(j,bj)**2 + 0.0769e4*S(j,bj)**3 - |
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< 0.8508e4*S(j,bj)**4 - 0.3581e4*S(j,bj)**5 + |
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< 2.9240e4*S(j,bj)**6 + 0.8311e4*S(j,bj)**7 - |
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< 4.9548e4*S(j,bj)**8 - 0.8808e4*S(j,bj)**9 + |
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< 4.0644e4*S(j,bj)**10 +0.3409e4*S(j,bj)**11 - |
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< 1.2893e4*S(j,bj)**12 ) |
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< /(2*PI*rSphere*rSphere*25.0) ) |
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c Qnet(i,j,bi,bj) = -1.0*( SW(j,bj) - LW(j,bj) - |
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c < 0.5*Hd35(no_so)*(3.054e1 - 3.763e1*S(j,bj) + |
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c < 1.892e2*S(j,bj)**2 + 3.041e2*S(j,bj)**3 - |
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c < 1.540e3*S(j,bj)**4 - 9.586e2*S(j,bj)**5 + |
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c < 2.939e3*S(j,bj)**6 + 1.219e3*S(j,bj)**7 - |
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c < 2.550e3*S(j,bj)**8 - 5.396e2*S(j,bj)**9 + |
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c < 8.119e2*S(j,bj)**10) |
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c < /(2*PI*rSphere*rSphere*22.3) ) |
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#else |
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IF (ReCountX(j,bj) .GT. 0.) THEN |
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Qnet(i,j,bi,bj) = (-90./ReCountX(j,bj))* |
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< ( SW(j,bj) - LW(j,bj) - |
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< Hd35(no_so)*(3.054e1 - 3.763e1*S(j,bj) + |
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< 1.892e2*S(j,bj)**2 + 3.041e2*S(j,bj)**3 - |
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< 1.540e3*S(j,bj)**4 - 9.586e2*S(j,bj)**5 + |
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< 2.939e3*S(j,bj)**6 + 1.219e3*S(j,bj)**7 - |
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< 2.550e3*S(j,bj)**8 - 5.396e2*S(j,bj)**9 + |
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< 8.119e2*S(j,bj)**10) |
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< /(2*PI*rSphere*rSphere*22.3) ) |
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ELSE |
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Qnet(i,j,bi,bj) = 0. |
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ENDIF |
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#endif |
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c Freshwater Flux = Div(atmospheric moisture transport) |
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c--- conversion of E-P from kg/(s m^2) -> m/s -> psu/s: 1e-3*35/delZ(1) |
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#ifdef EBM_VERSION_1BASIN |
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EmPmR(i,j,bi,bj) = -1.e-3*Fw35(no_so) |
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< *(-0.8454e5*S(j,bj)**14 + 0.5367e5*S(j,bj)**13 |
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< +3.3173e5*S(j,bj)**12 - 1.8965e5*S(j,bj)**11 |
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< -5.1701e5*S(j,bj)**10 |
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< +2.6240e5*S(j,bj)**9 + 4.077e5*S(j,bj)**8 - 1.791e5*S(j,bj)**7 |
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< -1.7231e5*S(j,bj)**6 + 0.6229e5*S(j,bj)**5 |
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< +0.3824e5*S(j,bj)**4 |
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< -0.1017e5*S(j,bj)**3 - 0.0387e5*S(j,bj)**2 |
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< +0.00562e5*S(j,bj) + 0.0007743e5) |
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< /(2.0*12.0*PI*rSphere*rSphere) |
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c EmPmR(i,j,bi,bj) = 1.e-3*Fw35(no_so) |
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c < *(50.0 + 228.0*S(j,bj) -1.593e3*S(j,bj)**2 |
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c < - 2.127e3*S(j,bj)**3 + 7.3e3*S(j,bj)**4 |
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c < + 5.799e3*S(j,bj)**5 - 1.232e4*S(j,bj)**6 |
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c < - 6.389e3*S(j,bj)**7 + 9.123e3*S(j,bj)**8 |
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c < + 2.495e3*S(j,bj)**9 - 2.567e3*S(j,bj)**10) |
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c < /(2*PI*rSphere*rSphere*15.0) |
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#else |
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IF (yC(i,j,bi,bj) .LT. -40.) THEN |
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c-- Southern Hemisphere |
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EmPmR(i,j,bi,bj) = -1.e-3*(Fw35(no_so)* |
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< (-6.5 + 35.3 + 71.7*S(j,bj) |
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< - 1336.3*S(j,bj)**2 - 425.8*S(j,bj)**3 |
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< + 5434.8*S(j,bj)**4 + 707.9*S(j,bj)**5 |
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< - 6987.7*S(j,bj)**6 - 360.4*S(j,bj)**7 |
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< + 2855.0*S(j,bj)**8) |
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< /(2*PI*rSphere*rSphere*18.0)) |
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ELSE |
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c-- Atlantic |
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IF (xC(i,j,bi,bj) .GT. 284. |
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< .OR. xC(i,j,bi,bj) .LT. 28.) THEN |
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EmPmR(i,j,bi,bj) = -1.e-3*(Fw35(no_so)* |
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< (-6.5 -2.878 + 3.157e2*S(j,bj) - |
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< 2.388e3*S(j,bj)**2 - 4.101e3*S(j,bj)**3 + |
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< 1.963e4*S(j,bj)**4 + 1.534e4*S(j,bj)**5 - |
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< 6.556e4*S(j,bj)**6 - 2.478e4*S(j,bj)**7 + |
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< 1.083e5*S(j,bj)**8 + 1.85e4*S(j,bj)**9 - |
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< 8.703e4*S(j,bj)**10 - 5.276e3*S(j,bj)**11 + |
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< 2.703e4*S(j,bj)**12) |
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< /(2*PI*rSphere*rSphere*12.0)) |
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ELSE |
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c-- Pacific |
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EmPmR(i,j,bi,bj) = -1.e-3*(Fw35(no_so) |
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< *(-6.5 +51.89 + 4.916e2*S(j,bj) - |
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< 1.041e3*S(j,bj)**2 - 7.546e3*S(j,bj)**3 + |
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< 2.335e3*S(j,bj)**4 + 3.449e4*S(j,bj)**5 + |
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< 6.702e3*S(j,bj)**6 - 6.601e4*S(j,bj)**7 - |
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< 2.594e4*S(j,bj)**8 + 5.652e4*S(j,bj)**9 + |
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< 2.738e4*S(j,bj)**10 - 1.795e4*S(j,bj)**11 - |
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< 9.486e3*S(j,bj)**12) |
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< /(2*PI*rSphere*rSphere*12.0)) |
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ENDIF |
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ENDIF |
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#endif |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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_EXCH_XY_R4(Qnet , myThid ) |
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_EXCH_XY_R4(EmPmR , myThid ) |
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|
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|
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C CALL PLOT_FIELD_XYRS( Qnet, 'Qnet' , 1, myThid ) |
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C CALL PLOT_FIELD_XYRS( EmPmR, 'EmPmR' , 1, myThid ) |
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|
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cph end of IF TOP_LAYER |
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cph ENDIF |
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|
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#endif /* ALLOW_EBM */ |
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|
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END |
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