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C $Header: /u/gcmpack/MITgcm/pkg/ebm/ebm_atmosphere.F,v 1.7 2009/08/06 13:52:52 jmc 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 "GRID.h" |
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#include "EBM.h" |
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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# include "tamc_keys.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 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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INTEGER iebmkey |
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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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#ifdef ALLOW_AUTODIFF_TAMC |
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act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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act4 = ikey_dynamics - 1 |
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iebmkey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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DO j=1-oLy,sNy+oLy |
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DO i=1-oLx,sNx+oLx |
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S(i,j,bj) = 0.0 |
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P2(i,j,bj) = 0.0 |
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P4(i,j,bj) = 0.0 |
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ENDDO |
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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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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE ReCountX(:,bj) = comlev1_bibj, key=iebmkey, byte=isbyte |
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#endif |
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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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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE T_var(:) = comlev1_bibj, key=iebmkey, byte=isbyte |
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#endif |
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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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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE T35(:) = comlev1_bibj, key=iebmkey, byte=isbyte |
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CADJ STORE DTDy35(:) = comlev1_bibj, key=iebmkey, byte=isbyte |
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#endif |
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|
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DO no_so = 1, 2 |
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IF ( DTDy35(no_so).NE.0. .AND. T35(no_so).NE.0. ) THEN |
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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. _d 0 + gamma) |
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De = Hw/(0.48 _d 0 + 1.48 _d 0 *gamma) |
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C = 0.6 _d 0 *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. _d 0 /(1. _d 0 /Hw + 1. _d 0 /De) |
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& -1. _d 0 /(1. _d 0 /Hw+1. _d 0 /De+1. _d 0 /dz) ) |
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Cf = htil*2.97 _d 12*C/(T35(no_so)**3)*( |
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& 1. _d 0/(1. _d 0/De + (5420. _d 0*tau /(T35(no_so)**2))) |
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& -1. _d 0/(1. _d 0/De+5420. _d 0*tau/(T35(no_so)**2) |
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& +1. _d 0/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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ELSE |
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Hd35(no_so) = 0. |
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Fw35(no_so) = 0. |
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ENDIF |
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ENDDO |
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c |
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Fw35(1) = 929944128. |
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Fw35(2) = 678148032. |
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c |
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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 _d 0*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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C sin(lat) |
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S(i,j,bj) = sin(yC(i,j,bi,bj)*deg2rad) |
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C setup Legendre polynomials and derivatives |
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P2(i,j,bj) = 0.5*(3.*S(i,j,bj)**2 - 1.) |
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P4(i,j,bj) = 0.12 _d 0 * |
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& (35.*S(i,j,bj)**4 - 30.*S(i,j,bj)**2 + 3.) |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE S(:,:,bj) = comlev1_bibj, key=iebmkey, byte=isbyte |
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CADJ STORE P2(:,:,bj) = comlev1_bibj, key=iebmkey, byte=isbyte |
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CADJ STORE P4(:,:,bj) = comlev1_bibj, key=iebmkey, byte=isbyte |
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#endif |
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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 net shortwave |
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SW(j,bj) = 0.25 _d 0 *Q0*(1. _d 0 + Q2*P2(i,j,bj))* |
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& (1. _d 0 - A0 - A2*P2(i,j,bj) - A4*P4(i,j,bj) ) |
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c temperature |
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T(j,bj) = T0(no_so) + T2(no_so)*P2(i,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)*3.215 _d -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(i,j,bj)**8 + 0.73*S(i,j,bj)**7 + |
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c < 4.82*S(i,j,bj)**6 - |
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c < 1.12*S(i,j,bj)**5 - 2.69*S(i,j,bj)**4 + 0.47*S(i,j,bj)**3 + |
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c < 0.51*S(i,j,bj)**2 - 0.05*S(i,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 _d 0 *( SW(j,bj) - LW(j,bj) - |
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& Hd35(no_so)*( |
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& 0.000728 _d 4 - 0.00678 _d 4*S(i,j,bj) + |
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& 0.0955 _d 4*S(i,j,bj)**2 + 0.0769 _d 4*S(i,j,bj)**3 - |
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& 0.8508 _d 4*S(i,j,bj)**4 - 0.3581 _d 4*S(i,j,bj)**5 + |
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& 2.9240 _d 4*S(i,j,bj)**6 + 0.8311 _d 4*S(i,j,bj)**7 - |
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& 4.9548 _d 4*S(i,j,bj)**8 - 0.8808 _d 4*S(i,j,bj)**9 + |
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& 4.0644 _d 4*S(i,j,bj)**10 +0.3409 _d 4*S(i,j,bj)**11 - |
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& 1.2893 _d 4*S(i,j,bj)**12 ) |
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& /(2.*PI*rSphere*rSphere*25.) ) |
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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(i,j,bj) + |
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c < 1.892e2*S(i,j,bj)**2 + 3.041e2*S(i,j,bj)**3 - |
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c < 1.540e3*S(i,j,bj)**4 - 9.586e2*S(i,j,bj)**5 + |
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c < 2.939e3*S(i,j,bj)**6 + 1.219e3*S(i,j,bj)**7 - |
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c < 2.550e3*S(i,j,bj)**8 - 5.396e2*S(i,j,bj)**9 + |
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c < 8.119e2*S(i,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. _d 0 /ReCountX(j,bj))* |
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& ( SW(j,bj) - LW(j,bj) - |
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& Hd35(no_so)*(3.054 _d 1 - 3.763 _d 1*S(i,j,bj) + |
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& 1.892 _d 2*S(i,j,bj)**2 + 3.041 _d 2*S(i,j,bj)**3 - |
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& 1.540 _d 3*S(i,j,bj)**4 - 9.586 _d 2*S(i,j,bj)**5 + |
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& 2.939 _d 3*S(i,j,bj)**6 + 1.219 _d 3*S(i,j,bj)**7 - |
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& 2.550 _d 3*S(i,j,bj)**8 - 5.396 _d 2*S(i,j,bj)**9 + |
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& 8.119 _d 2*S(i,j,bj)**10) |
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& /(2.*PI*rSphere*rSphere*22.3 _d 0) ) |
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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. _d -3*Fw35(no_so) |
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& *(-0.8454 _d 5*S(i,j,bj)**14 + 0.5367 _d 5*S(i,j,bj)**13 |
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& +3.3173 _d 5*S(i,j,bj)**12 - 1.8965 _d 5*S(i,j,bj)**11 |
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& -5.1701 _d 5*S(i,j,bj)**10 |
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& +2.6240 _d 5*S(i,j,bj)**9 + 4.077 _d 5*S(i,j,bj)**8 |
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& -1.791 _d 5*S(i,j,bj)**7 |
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& -1.7231 _d 5*S(i,j,bj)**6 + 0.6229 _d 5*S(i,j,bj)**5 |
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& +0.3824 _d 5*S(i,j,bj)**4 |
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& -0.1017 _d 5*S(i,j,bj)**3 - 0.0387 _d 5*S(i,j,bj)**2 |
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& +0.00562 _d 5*S(i,j,bj) + 0.0007743 _d 5) |
| 294 |
& /(2.0*12.0*PI*rSphere*rSphere) |
| 295 |
c EmPmR(i,j,bi,bj) = 1.e-3*Fw35(no_so) |
| 296 |
c < *(50.0 + 228.0*S(i,j,bj) -1.593e3*S(i,j,bj)**2 |
| 297 |
c < - 2.127e3*S(i,j,bj)**3 + 7.3e3*S(i,j,bj)**4 |
| 298 |
c < + 5.799e3*S(i,j,bj)**5 - 1.232e4*S(i,j,bj)**6 |
| 299 |
c < - 6.389e3*S(i,j,bj)**7 + 9.123e3*S(i,j,bj)**8 |
| 300 |
c < + 2.495e3*S(i,j,bj)**9 - 2.567e3*S(i,j,bj)**10) |
| 301 |
c < /(2*PI*rSphere*rSphere*15.0) |
| 302 |
#else |
| 303 |
IF (yC(i,j,bi,bj) .LT. -40.) THEN |
| 304 |
c-- Southern Hemisphere |
| 305 |
EmPmR(i,j,bi,bj) = -1. _d -3*(Fw35(no_so)* |
| 306 |
& (-6.5 _d 0 + 35.3 _d 0 + 71.7 _d 0*S(i,j,bj) |
| 307 |
& - 1336.3 _d 0*S(i,j,bj)**2 - 425.8 _d 0*S(i,j,bj)**3 |
| 308 |
& + 5434.8 _d 0*S(i,j,bj)**4 + 707.9 _d 0*S(i,j,bj)**5 |
| 309 |
& - 6987.7 _d 0*S(i,j,bj)**6 - 360.4 _d 0*S(i,j,bj)**7 |
| 310 |
& + 2855.0 _d 0*S(i,j,bj)**8) |
| 311 |
& /(2.*PI*rSphere*rSphere*18.0)) |
| 312 |
ELSE |
| 313 |
c-- Atlantic |
| 314 |
IF (xC(i,j,bi,bj) .GT. 284. |
| 315 |
& .OR. xC(i,j,bi,bj) .LT. 28.) THEN |
| 316 |
EmPmR(i,j,bi,bj) = -1. _d -3*(Fw35(no_so)* |
| 317 |
& (-6.5 _d 0 -2.878 _d 0 + 3.157 _d 2*S(i,j,bj) - |
| 318 |
& 2.388 _d 3*S(i,j,bj)**2 - 4.101 _d 3*S(i,j,bj)**3 + |
| 319 |
& 1.963 _d 4*S(i,j,bj)**4 + 1.534 _d 4*S(i,j,bj)**5 - |
| 320 |
& 6.556 _d 4*S(i,j,bj)**6 - 2.478 _d 4*S(i,j,bj)**7 + |
| 321 |
& 1.083 _d 5*S(i,j,bj)**8 + 1.85 _d 4*S(i,j,bj)**9 - |
| 322 |
& 8.703 _d 4*S(i,j,bj)**10 - 5.276 _d 3*S(i,j,bj)**11 + |
| 323 |
& 2.703 _d 4*S(i,j,bj)**12) |
| 324 |
& /(2.*PI*rSphere*rSphere*12.0)) |
| 325 |
ELSE |
| 326 |
c-- Pacific |
| 327 |
EmPmR(i,j,bi,bj) = -1. _d -3*(Fw35(no_so) |
| 328 |
& *(-6.5 _d 0 +51.89 _d 0 + 4.916 _d 2*S(i,j,bj) - |
| 329 |
& 1.041 _d 3*S(i,j,bj)**2 - 7.546 _d 3*S(i,j,bj)**3 + |
| 330 |
& 2.335 _d 3*S(i,j,bj)**4 + 3.449 _d 4*S(i,j,bj)**5 + |
| 331 |
& 6.702 _d 3*S(i,j,bj)**6 - 6.601 _d 4*S(i,j,bj)**7 - |
| 332 |
& 2.594 _d 4*S(i,j,bj)**8 + 5.652 _d 4*S(i,j,bj)**9 + |
| 333 |
& 2.738 _d 4*S(i,j,bj)**10 - 1.795 _d 4*S(i,j,bj)**11 - |
| 334 |
& 9.486 _d 3*S(i,j,bj)**12) |
| 335 |
& /(2.*PI*rSphere*rSphere*12.0)) |
| 336 |
ENDIF |
| 337 |
ENDIF |
| 338 |
#endif |
| 339 |
EmPmR(i,j,bi,bj) = EmPmR(i,j,bi,bj)*rhoConstFresh |
| 340 |
ENDDO |
| 341 |
ENDDO |
| 342 |
ENDDO |
| 343 |
ENDDO |
| 344 |
|
| 345 |
_EXCH_XY_RS(Qnet , myThid ) |
| 346 |
_EXCH_XY_RS(EmPmR , myThid ) |
| 347 |
|
| 348 |
|
| 349 |
C CALL PLOT_FIELD_XYRS( Qnet, 'Qnet' , 1, myThid ) |
| 350 |
C CALL PLOT_FIELD_XYRS( EmPmR, 'EmPmR' , 1, myThid ) |
| 351 |
|
| 352 |
cph end of IF TOP_LAYER |
| 353 |
cph ENDIF |
| 354 |
|
| 355 |
#endif /* ALLOW_EBM */ |
| 356 |
|
| 357 |
RETURN |
| 358 |
END |
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