C $Header: /u/gcmpack/MITgcm/pkg/ebm/ebm_atmosphere.F,v 1.10 2011/08/29 19:38:44 jmc Exp $ C $Name: $ #include "EBM_OPTIONS.h" CBOP 0 C !ROUTINE: EBM_ATMOSPHERE C !INTERFACE: SUBROUTINE EBM_ATMOSPHERE ( myTime, myIter, myThid ) C !DESCRIPTION: 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 C !USES: IMPLICIT NONE C === Global variables === #include "SIZE.h" #include "EEPARAMS.h" #include "PARAMS.h" #include "FFIELDS.h" #include "GRID.h" #include "EBM.h" #ifdef ALLOW_AUTODIFF_TAMC # include "tamc.h" # include "tamc_keys.h" #endif C !INPUT PARAMETERS: C === Routine arguments === C myThid :: my Thread Id number _RL myTime INTEGER myIter INTEGER myThid CEOP #ifdef ALLOW_EBM C !LOCAL VARIABLES: INTEGER i, j, bi, bj INTEGER no_so #ifdef ALLOW_AUTODIFF_TAMC INTEGER iebmkey #endif /* ALLOW_AUTODIFF_TAMC */ _RL ReCountX(1-OLy:sNy+OLy,nSy) C-- Local arrays used for EBM computation (previously declared in EBM.h) C- sin(lat) and Legendre polynomials cph We will make these three (i,j) arrays to cph avoid AD recomputations _RL S(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSy) _RL P2(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSy) _RL P4(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSy) C- Shortwave and albedo parameters _RL SW(1-OLy:sNy+OLy,nSy) C- Longwave parameters _RL LW(1-OLy:sNy+OLy,nSy) C- Heat transport parameters _RL Hd(1-OLy:sNy+OLy,nSy), Hd35(2) C- Freshwater flux parameters _RL Fw(1-OLy:sNy+OLy,nSy), Fw35(2) C- Temperature parameterization _RL T(1-OLy:sNy+OLy,nSy) _RL T_var(4), T0(2), T2(2), T35(2), DTDy35(2) C- Parameters used to calculate the transport efficiency _RL Cl, Cf, Cs, C _RL gamma, kappa, De C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| 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(latBnd(2)*deg2rad) - SIN(latBnd(1)*deg2rad) T_var(2) = SIN(latBnd(3)*deg2rad) - SIN(latBnd(2)*deg2rad) T_var(3) = SIN(latBnd(2)*deg2rad)**3 - SIN(latBnd(1)*deg2rad)**3 T_var(4) = SIN(latBnd(3)*deg2rad)**3 - SIN(latBnd(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(latBnd(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(latBnd(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. _d 0 + gamma) De = Hw/(0.48 _d 0 + 1.48 _d 0 *gamma) C = 0.6 _d 0 *gravity*kappa*kappa*Nw/ & (Tw*f0*f0) Cs = rho_air*cp*C* & ( 1. _d 0 /(1. _d 0 /Hw + 1. _d 0 /De) & -1. _d 0 /(1. _d 0 /Hw+1. _d 0 /De+1. _d 0 /dz) ) Cf = htil*2.97 _d 12*C/(T35(no_so)**3)*( & 1. _d 0/(1. _d 0/De + (5420. _d 0*tau /(T35(no_so)**2))) & -1. _d 0/(1. _d 0/De+5420. _d 0*tau/(T35(no_so)**2) & +1. _d 0/dz)) Cl = Cf*lv Hd35(no_so) = 2.*PI*rSphere*COS(latBnd(2)*deg2rad) & *(Cs + Cl*exp(-5420./T35(no_so))) & *(abs(DTDy35(no_so))**trans_eff) Fw35(no_so) = 2.*PI*rSphere*COS(latBnd(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 _d 0*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 _d 0 * & (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 _d 0 *Q0*(1. _d 0 + Q2*P2(i,j,bj))* & (1. _d 0 - 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)*3.215 _d -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 _d 0 *( SW(j,bj) - LW(j,bj) - & Hd35(no_so)*( & 0.000728 _d 4 - 0.00678 _d 4*S(i,j,bj) + & 0.0955 _d 4*S(i,j,bj)**2 + 0.0769 _d 4*S(i,j,bj)**3 - & 0.8508 _d 4*S(i,j,bj)**4 - 0.3581 _d 4*S(i,j,bj)**5 + & 2.9240 _d 4*S(i,j,bj)**6 + 0.8311 _d 4*S(i,j,bj)**7 - & 4.9548 _d 4*S(i,j,bj)**8 - 0.8808 _d 4*S(i,j,bj)**9 + & 4.0644 _d 4*S(i,j,bj)**10 +0.3409 _d 4*S(i,j,bj)**11 - & 1.2893 _d 4*S(i,j,bj)**12 ) & /(2.*PI*rSphere*rSphere*25.) ) 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. _d 0 /ReCountX(j,bj))* & ( SW(j,bj) - LW(j,bj) - & Hd35(no_so)*(3.054 _d 1 - 3.763 _d 1*S(i,j,bj) + & 1.892 _d 2*S(i,j,bj)**2 + 3.041 _d 2*S(i,j,bj)**3 - & 1.540 _d 3*S(i,j,bj)**4 - 9.586 _d 2*S(i,j,bj)**5 + & 2.939 _d 3*S(i,j,bj)**6 + 1.219 _d 3*S(i,j,bj)**7 - & 2.550 _d 3*S(i,j,bj)**8 - 5.396 _d 2*S(i,j,bj)**9 + & 8.119 _d 2*S(i,j,bj)**10) & /(2.*PI*rSphere*rSphere*22.3 _d 0) ) 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. _d -3*Fw35(no_so) & *(-0.8454 _d 5*S(i,j,bj)**14 + 0.5367 _d 5*S(i,j,bj)**13 & +3.3173 _d 5*S(i,j,bj)**12 - 1.8965 _d 5*S(i,j,bj)**11 & -5.1701 _d 5*S(i,j,bj)**10 & +2.6240 _d 5*S(i,j,bj)**9 + 4.077 _d 5*S(i,j,bj)**8 & -1.791 _d 5*S(i,j,bj)**7 & -1.7231 _d 5*S(i,j,bj)**6 + 0.6229 _d 5*S(i,j,bj)**5 & +0.3824 _d 5*S(i,j,bj)**4 & -0.1017 _d 5*S(i,j,bj)**3 - 0.0387 _d 5*S(i,j,bj)**2 & +0.00562 _d 5*S(i,j,bj) + 0.0007743 _d 5) & /(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. _d -3*(Fw35(no_so)* & (-6.5 _d 0 + 35.3 _d 0 + 71.7 _d 0*S(i,j,bj) & - 1336.3 _d 0*S(i,j,bj)**2 - 425.8 _d 0*S(i,j,bj)**3 & + 5434.8 _d 0*S(i,j,bj)**4 + 707.9 _d 0*S(i,j,bj)**5 & - 6987.7 _d 0*S(i,j,bj)**6 - 360.4 _d 0*S(i,j,bj)**7 & + 2855.0 _d 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. _d -3*(Fw35(no_so)* & (-6.5 _d 0 -2.878 _d 0 + 3.157 _d 2*S(i,j,bj) - & 2.388 _d 3*S(i,j,bj)**2 - 4.101 _d 3*S(i,j,bj)**3 + & 1.963 _d 4*S(i,j,bj)**4 + 1.534 _d 4*S(i,j,bj)**5 - & 6.556 _d 4*S(i,j,bj)**6 - 2.478 _d 4*S(i,j,bj)**7 + & 1.083 _d 5*S(i,j,bj)**8 + 1.85 _d 4*S(i,j,bj)**9 - & 8.703 _d 4*S(i,j,bj)**10 - 5.276 _d 3*S(i,j,bj)**11 + & 2.703 _d 4*S(i,j,bj)**12) & /(2.*PI*rSphere*rSphere*12.0)) ELSE c-- Pacific EmPmR(i,j,bi,bj) = -1. _d -3*(Fw35(no_so) & *(-6.5 _d 0 +51.89 _d 0 + 4.916 _d 2*S(i,j,bj) - & 1.041 _d 3*S(i,j,bj)**2 - 7.546 _d 3*S(i,j,bj)**3 + & 2.335 _d 3*S(i,j,bj)**4 + 3.449 _d 4*S(i,j,bj)**5 + & 6.702 _d 3*S(i,j,bj)**6 - 6.601 _d 4*S(i,j,bj)**7 - & 2.594 _d 4*S(i,j,bj)**8 + 5.652 _d 4*S(i,j,bj)**9 + & 2.738 _d 4*S(i,j,bj)**10 - 1.795 _d 4*S(i,j,bj)**11 - & 9.486 _d 3*S(i,j,bj)**12) & /(2.*PI*rSphere*rSphere*12.0)) ENDIF ENDIF #endif EmPmR(i,j,bi,bj) = EmPmR(i,j,bi,bj) & - Run(i,j,bi,bj)*scale_runoff EmPmR(i,j,bi,bj) = EmPmR(i,j,bi,bj)*rhoConstFresh ENDDO ENDDO ENDDO ENDDO _EXCH_XY_RS(Qnet , myThid ) _EXCH_XY_RS(EmPmR , myThid ) C CALL PLOT_FIELD_XYRS( Qnet, 'Qnet' , 1, myThid ) C CALL PLOT_FIELD_XYRS( EmPmR, 'EmPmR' , 1, myThid ) #endif /* ALLOW_EBM */ RETURN END