C $Header: /home/ubuntu/mnt/e9_copy/MITgcm/pkg/seaice/seaice_growth.F,v 1.77 2010/10/08 22:08:14 gforget Exp $ C $Name: $ #include "SEAICE_OPTIONS.h" CBOP C !ROUTINE: SEAICE_GROWTH C !INTERFACE: SUBROUTINE SEAICE_GROWTH( myTime, myIter, myThid ) C !DESCRIPTION: \bv C *==========================================================* C | SUBROUTINE seaice_growth C | o Updata ice thickness and snow depth C *==========================================================* C \ev C !USES: IMPLICIT NONE C === Global variables === #include "SIZE.h" #include "EEPARAMS.h" #include "PARAMS.h" #include "DYNVARS.h" #include "GRID.h" #include "FFIELDS.h" #include "SEAICE_PARAMS.h" #include "SEAICE.h" #ifdef ALLOW_EXF # include "EXF_OPTIONS.h" # include "EXF_FIELDS.h" # include "EXF_PARAM.h" #endif #ifdef ALLOW_SALT_PLUME # include "SALT_PLUME.h" #endif #ifdef ALLOW_AUTODIFF_TAMC # include "tamc.h" #endif C !INPUT/OUTPUT PARAMETERS: C === Routine arguments === C myTime :: Simulation time C myIter :: Simulation timestep number C myThid :: Thread no. that called this routine. _RL myTime INTEGER myIter, myThid CEOP C !LOCAL VARIABLES: C === Local variables === C i,j,bi,bj :: Loop counters INTEGER i, j, bi, bj C number of surface interface layer INTEGER kSurface C constants _RL TBC, WATR2SNOW, ICE2SNOW _RL QI, recip_QI, QS C note: for all heat stocks, the sign convention is positive towards the atmosphere C C a_QbyATM_cover :: available heat (in W/m^2) due to the interaction of C the atmosphere and the ocean surface - for ice covered water C a_QbyATM_open :: same but for open water C a_QbyATM :: weighted average (depending on the ice cover fraction) C of this available heat over the grid cell. C r_QbyATM_cover :: residual of a_QbyATM_cover after freezing/melting C processes have been accounted for _RL a_QbyATM_cover (1:sNx,1:sNy) _RL a_QbyATM_open (1:sNx,1:sNy) _RL a_QbyATM (1:sNx,1:sNy) _RL r_QbyATM_cover (1:sNx,1:sNy) C a_QSWbyATM_open - short wave heat flux over ocean in W/m^2 C a_QSWbyATM_cover - short wave heat flux under ice in W/m^2 _RL a_QSWbyATM_open (1:sNx,1:sNy) _RL a_QSWbyATM_cover (1:sNx,1:sNy) C a_QbyICE :: available heat (in in W/m^2) due to the C interaction of the ice pack and the ocean surface C r_QbyICE :: residual of a_QbyICE after freezing/melting C processes have been accounted for _RL a_QbyICE (1:sNx,1:sNy) _RL r_QbyICE (1:sNx,1:sNy) c conversion factors to go from Q (W/m2) to HEFF (ice meters) _RL convertQ2HI, convertHI2Q c conversion factors to go from precip (m/s) unit to HEFF (ice meters) _RL convertPRECIP2HI, convertHI2PRECIP c FRWfromSNW :: flag that states whether the atmostpheric conditions are c prone to generate SNOW (FRWfromSNW=1) or fresh water (FRWfromSNW=2) integer FRWfromSNW (1:sNx,1:sNy) C Available Heat tendencies associated with melt/freeze processes _RL d_QbyICE (1:sNx,1:sNy) _RL d_QbySNW (1:sNx,1:sNy) _RL d_QbyATMonOCN (1:sNx,1:sNy) _RL d_QbyATMonSNW (1:sNx,1:sNy) c ICE/SNOW stocks tendencies associated with the various melt/freeze processes _RL d_AREAbyATM (1:sNx,1:sNy) c _RL d_HEFFbyICEonOCN (1:sNx,1:sNy) _RL d_HEFFbyATMonOCN (1:sNx,1:sNy) _RL d_HEFFfromSNWflood (1:sNx,1:sNy) c _RL d_HSNWfromFRW (1:sNx,1:sNy) _RL d_HSNWbyOCNonSNW (1:sNx,1:sNy) _RL d_SNWintoICEflood (1:sNx,1:sNy) _RL d_HFRWfromSNW (1:sNx,1:sNy) C actual ice thickness with upper and lower limit _RL HICE (1:sNx,1:sNy) C actual snow thickness _RL hSnwLoc (1:sNx,1:sNy) C wind speed _RL UG (1:sNx,1:sNy) _RL SPEED_SQ C local copy of AREA _RL areaLoc c temporary variables available for the various computations _RL tmpscal1, tmpscal2, tmpscal3, tmpscal4 _RL tmparr1 (1:sNx,1:sNy) C auxillary variables used for specific processes _RL snowEnergy #ifdef ALLOW_SEAICE_FLOODING _RL hDraft #endif /* ALLOW_SEAICE_FLOODING */ #ifdef SEAICE_SALINITY _RL saltFluxAdjust(1:sNx,1:sNy) #endif #ifdef SEAICE_MULTICATEGORY INTEGER it INTEGER ilockey _RL RK _RL HICEP (1:sNx,1:sNy) _RL a_QbyATMmult_cover (1:sNx,1:sNy) _RL a_QSWbyATMmult_cover (1:sNx,1:sNy) #endif #ifdef SEAICE_AGE C old_AREA :: hold sea-ice fraction field before any seaice-thermo update _RL old_AREA (1:sNx,1:sNy) # ifdef SEAICE_AGE_VOL C old_HEFF :: hold sea-ice effective thickness field before any seaice-thermo update _RL old_HEFF (1:sNx,1:sNy) _RL age_actual # endif /* SEAICE_AGE_VOL */ #endif /* SEAICE_AGE */ #ifdef ALLOW_DIAGNOSTICS _RL DIAGarray (1:sNx,1:sNy) LOGICAL DIAGNOSTICS_IS_ON EXTERNAL DIAGNOSTICS_IS_ON #endif IF ( buoyancyRelation .EQ. 'OCEANICP' ) THEN kSurface = Nr ELSE kSurface = 1 ENDIF C FREEZING TEMP. OF SEA WATER (deg C) TBC = SEAICE_freeze C RATIO OF WATER DENSITY TO SNOW DENSITY WATR2SNOW = 1000.0 _d 0/SEAICE_rhoSnow cgf - use of 1000 instead of rhoConstFresh... C RATIO OF SEA ICE DENSITY to SNOW DENSITY ICE2SNOW = ICE2WATR * WATR2SNOW C HEAT OF FUSION OF ICE (J/m^3) QI = 302.0 _d +06 recip_QI = 1.0 _d 0 / QI C HEAT OF FUSION OF SNOW (J/m^3) QS = 1.1 _d +08 c conversion factors to go from Q (W/m2) to HEFF (ice meters) convertQ2HI=-SEAICE_deltaTtherm/QI convertHI2Q=1/convertQ2HI c conversion factors to go from precip (m/s) unit to HEFF (ice meters) convertPRECIP2HI=SEAICE_deltaTtherm*rhoConstFresh/SEAICE_rhoIce convertHI2PRECIP=1./convertPRECIP2HI cgf reminder: saltWtrIce and frWtrIce are in ice meters unit DO bj=myByLo(myThid),myByHi(myThid) DO bi=myBxLo(myThid),myBxHi(myThid) c #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 iicekey = (act1 + 1) + act2*max1 & + act3*max1*max2 & + act4*max1*max2*max3 #endif /* ALLOW_AUTODIFF_TAMC */ #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE area(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE qnet(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE qsw(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ C array initializations C ===================== DO J=1,sNy DO I=1,sNx a_QbyATM_cover (I,J) = 0.0 _d 0 a_QbyATM_open(I,J) = 0.0 _d 0 a_QbyATM(I,J) = 0.0 _d 0 r_QbyATM_cover (I,J) = 0.0 _d 0 c a_QSWbyATM_open (I,J) = 0.0 _d 0 a_QSWbyATM_cover (I,J) = 0.0 _d 0 c a_QbyICE (I,J) = 0.0 _d 0 r_QbyICE (I,J) = 0.0 _d 0 c FRWfromSNW (I,J) = 0 c d_QbyICE (I,J) = 0.0 _d 0 d_QbySNW (I,J) = 0.0 _d 0 d_QbyATMonOCN (I,J) = 0.0 _d 0 d_QbyATMonSNW (I,J) = 0.0 _d 0 c d_AREAbyATM(I,J) = 0.0 _d 0 c d_HEFFbyICEonOCN(I,J) = 0.0 _d 0 d_HEFFbyATMonOCN(I,J) = 0.0 _d 0 d_HEFFfromSNWflood(I,J) = 0.0 _d 0 c d_HSNWfromFRW(I,J) = 0.0 _d 0 d_HSNWbyOCNonSNW(I,J) = 0.0 _d 0 d_SNWintoICEflood(I,J) = 0.0 _d 0 d_HFRWfromSNW(I,J) = 0.0 _d 0 c tmparr1(I,J) = 0.0 _d 0 c #ifdef SEAICE_SALINITY saltFluxAdjust(I,J) = 0.0 _d 0 #endif #ifdef SEAICE_MULTICATEGORY a_QbyATMmult_cover(I,J) = 0.0 _d 0 a_QSWbyATMmult_cover(I,J) = 0.0 _d 0 #endif ENDDO ENDDO DO J=1-oLy,sNy+oLy DO I=1-oLx,sNx+oLx saltWtrIce(I,J,bi,bj) = 0.0 _d 0 frWtrIce(I,J,bi,bj) = 0.0 _d 0 #ifdef ALLOW_MEAN_SFLUX_COST_CONTRIBUTION frWtrAtm(I,J,bi,bj) = 0.0 _d 0 #endif ENDDO ENDDO #ifdef SEAICE_AGE C store the initial ice fraction over the domain DO J=1,sNy DO I=1,sNx old_AREA(i,j) = AREA(I,J,bi,bj) # ifdef SEAICE_AGE_VOL old_HEFF(i,j) = HEFF(I,J,bi,bj) # endif ENDDO ENDDO #endif /* SEAICE_AGE */ #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ DO J=1,sNy DO I=1,sNx C COMPUTE ACTUAL ICE THICKNESS AND PUT MINIMUM/MAXIMUM C ON ICE THICKNESS FOR BUDGET COMPUTATION C The default of A22 = 0.15 is a common threshold for defining C the ice edge. This ice concentration usually does not occur C due to thermodynamics but due to advection. areaLoc = MAX(A22,AREANm1(I,J,bi,bj)) HICE(I,J) = HEFFNm1(I,J,bi,bj)/areaLoc C Do we know what this is for? HICE(I,J) = MAX(HICE(I,J),0.05 _d +00) C Capping the actual ice thickness effectively enforces a C minimum of heat flux through the ice and helps getting rid of C very thick ice. cdm actually, this does exactly the opposite, i.e., ice is thicker cdm when HICE is capped, so I am commenting out cdm HICE(I,J) = MIN(HICE(I,J),9.0 _d +00) hSnwLoc(I,J) = HSNOW(I,J,bi,bj)/areaLoc ENDDO ENDDO C determine available heat due to the atmosphere -- for open water C ================================================================ C ocean surface/mixed layer temperature DO J=1,sNy DO I=1,sNx TMIX(I,J,bi,bj)=theta(I,J,kSurface,bi,bj)+273.16 _d +00 #ifdef SEAICE_DEBUG TMIX(I,J,bi,bj)=MAX(TMIX(I,J,bi,bj),271.2 _d +00) #endif ENDDO ENDDO C wind speed from exf DO J=1,sNy DO I=1,sNx UG(I,J) = MAX(SEAICE_EPS,wspeed(I,J,bi,bj)) ENDDO ENDDO CALL SEAICE_BUDGET_OCEAN( I UG, U TMIX, O a_QbyATM_open, a_QSWbyATM_open, I bi, bj, myTime, myIter, myThid ) C determine available heat due to the atmosphere -- for ice covered water C ======================================================================= #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE tice = comlev1, key = ikey_dynamics, byte = isbyte # ifdef SEAICE_MULTICATEGORY CADJ STORE tices = comlev1, key = ikey_dynamics, byte = isbyte # endif #endif /* ALLOW_AUTODIFF_TAMC */ IF (useRelativeWind) THEN C Compute relative wind speed over sea ice. DO J=1,sNy DO I=1,sNx SPEED_SQ = & (uWind(I,J,bi,bj) & +0.5 _d 0*(uVel(i,j,kSurface,bi,bj) & +uVel(i+1,j,kSurface,bi,bj)) & -0.5 _d 0*(uice(i,j,bi,bj)+uice(i+1,j,bi,bj)))**2 & +(vWind(I,J,bi,bj) & +0.5 _d 0*(vVel(i,j,kSurface,bi,bj) & +vVel(i,j+1,kSurface,bi,bj)) & -0.5 _d 0*(vice(i,j,bi,bj)+vice(i,j+1,bi,bj)))**2 IF ( SPEED_SQ .LE. SEAICE_EPS_SQ ) THEN UG(I,J)=SEAICE_EPS ELSE UG(I,J)=SQRT(SPEED_SQ) ENDIF ENDDO ENDDO ENDIF #ifdef SEAICE_MULTICATEGORY C-- Start loop over muli-categories DO IT=1,MULTDIM #ifdef ALLOW_AUTODIFF_TAMC ilockey = (iicekey-1)*MULTDIM + IT CADJ STORE tices(:,:,it,bi,bj) = comlev1_multdim, CADJ & key = ilockey, byte = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ RK=REAL(IT) DO J=1,sNy DO I=1,sNx HICEP(I,J)=(HICE(I,J)/MULTDIM)*((2.0 _d 0*RK)-1.0 _d 0) TICE(I,J,bi,bj)=TICES(I,J,IT,bi,bj) ENDDO ENDDO CALL SEAICE_SOLVE4TEMP( I UG, HICEP, hSnwLoc, U TICE, O a_QbyATMmult_cover, a_QSWbyATMmult_cover, I bi, bj, myTime, myIter, myThid ) DO J=1,sNy DO I=1,sNx C average over categories a_QbyATM_cover (I,J) = & a_QbyATM_cover(I,J) + a_QbyATMmult_cover(I,J)/MULTDIM a_QSWbyATM_cover (I,J) = & a_QSWbyATM_cover(I,J) + a_QSWbyATMmult_cover(I,J)/MULTDIM TICES(I,J,IT,bi,bj) = TICE(I,J,bi,bj) ENDDO ENDDO ENDDO C-- End loop over multi-categories #else /* SEAICE_MULTICATEGORY */ CALL SEAICE_SOLVE4TEMP( I UG, HICE, hSnwLoc, U TICE, O a_QbyATM_cover, a_QSWbyATM_cover, I bi, bj, myTime, myIter, myThid ) #endif /* SEAICE_MULTICATEGORY */ #ifdef ALLOW_DIAGNOSTICS IF ( useDiagnostics ) THEN IF ( DIAGNOSTICS_IS_ON('SIatmQnt',myThid) ) THEN DO J=1,sNy DO I=1,sNx DIAGarray(I,J) = maskC(I,J,kSurface,bi,bj) * ( & a_QbyATM_cover(I,J) * areaNm1(I,J,bi,bj) + & a_QbyATM_open(I,J) * ( ONE - areaNm1(I,J,bi,bj) ) ) ENDDO ENDDO CALL DIAGNOSTICS_FILL(DIAGarray,'SIatmQnt',0,1,3,bi,bj,myThid) ENDIF ENDIF #endif C determine whether the atmostpheric conditions are prone C to generate SNOW (FRWfromSNW=1) or fresh water (FRWfromSNW=2) C ============================================================== DO J=1,sNy DO I=1,sNx IF (a_QbyATM_cover(I,J).LT.ZERO.AND. & AREANm1(I,J,bi,bj).GT.ZERO) THEN FRWfromSNW(I,J)=2 ELSE FRWfromSNW(I,J)=1 ENDIF ENDDO ENDDO C determine available heat due to the ice pack tying the C underlying surface water temperature to freezing point C ====================================================== #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE theta(:,:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE FRWfromSNW = comlev1_bibj, CADJ & key = iicekey, byte = isbyte #endif DO J=1,sNy DO I=1,sNx IF ( .NOT. inAdMode ) THEN #ifdef SEAICE_VARIABLE_FREEZING_POINT TBC = -0.0575 _d 0*salt(I,J,kSurface,bi,bj) + 0.0901 _d 0 #endif /* SEAICE_VARIABLE_FREEZING_POINT */ IF ( theta(I,J,kSurface,bi,bj) .GE. TBC ) THEN a_QbyICE(i,j) = SEAICE_availHeatFrac & * (theta(I,J,kSurface,bi,bj)-TBC) * dRf(kSurface) & * hFacC(i,j,kSurface,bi,bj) * & (- HeatCapacity_Cp*rhoConst/SEAICE_deltaTtherm) ELSE a_QbyICE(i,j) = SEAICE_availHeatFracFrz & * (theta(I,J,kSurface,bi,bj)-TBC) * dRf(kSurface) & * hFacC(i,j,kSurface,bi,bj) * & (- HeatCapacity_Cp*rhoConst/SEAICE_deltaTtherm) ENDIF ELSE a_QbyICE(i,j) = 0. ENDIF cgf heat and water conservation: ok -- since rid of 72.0764 factor ENDDO ENDDO C compute ice thickness tendency due to ice-ocean interaction C =========================================================== DO J=1,sNy DO I=1,sNx tmpscal1=a_QbyICE(i,j) & / ( - QI / SEAICE_deltaTtherm ) d_HEFFbyICEonOCN(I,J) = & MAX(ZERO, HEFF(I,J,bi,bj)-tmpscal1)- HEFF(I,J,bi,bj) d_QbyICE(I,J)=d_HEFFbyICEonOCN(I,J) & * ( - QI / SEAICE_deltaTtherm ) c apply tendency r_QbyICE(I,J)=a_QbyICE(I,J)+d_QbyICE(I,J) HEFF(I,J,bi,bj)=HEFF(I,J,bi,bj) + d_HEFFbyICEonOCN(I,J) saltWtrIce(I,J,bi,bj) = saltWtrIce(I,J,bi,bj) & + d_HEFFbyICEonOCN(I,J) cgf heat and water conservation: ok ENDDO ENDDO #ifdef ALLOW_DIAGNOSTICS IF ( useDiagnostics ) THEN IF ( DIAGNOSTICS_IS_ON('SIyneg ',myThid) ) THEN CALL DIAGNOSTICS_FILL(d_HEFFbyICEonOCN, & 'SIyneg ',0,1,1,bi,bj,myThid) ENDIF ENDIF #endif C compute snow thickness tendency due to snow-atmosphere interaction C ================================================================== #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE area(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE a_QbyATM_cover(:,:) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ DO J=1,sNy DO I=1,sNx tmpscal1=-SEAICE_deltaTtherm* & a_QbyATM_cover(I,J)*AREANm1(I,J,bi,bj) IF ( FRWfromSNW(I,J).EQ.2 ) THEN snowEnergy=HSNOW(I,J,bi,bj)*QS IF(tmpscal1.LE.snowEnergy) THEN C not enough heat to melt all snow; use up all of a_QbyATM_cover d_HSNWfromFRW(I,J)=-tmpscal1/QS C SNOW CONVERTED INTO WATER AND THEN INTO equivalent m of ICE melt C The factor 1/ICE2SNOW converts m of snow to m of sea-ice d_HFRWfromSNW(I,J)= - tmpscal1/(QS*ICE2SNOW) d_QbyATMonSNW(I,J) = -a_QbyATM_cover(I,J) ELSE C enough heat to melt snow completely; C compute remaining heat that will melt ice d_QbyATMonSNW(I,J)=-(tmpscal1-snowEnergy)/ & SEAICE_deltaTtherm/AREANm1(I,J,bi,bj)-a_QbyATM_cover(I,J) C convert all snow to melt water (fresh water flux) d_HFRWfromSNW(I,J)=-HSNOW(I,J,bi,bj)/ICE2SNOW d_HSNWfromFRW(I,J)=-HSNOW(I,J,bi,bj) END IF ELSE c this process is inactive under cold conditions d_QbyATMonSNW(I,J)=0. _d 0 d_HFRWfromSNW(I,J)=0. _d 0 d_HSNWfromFRW(I,J)=0. _d 0 ENDIF c apply tendency frWtrIce(I,J,bi,bj) = frWtrIce(I,J,bi,bj) + & d_HFRWfromSNW(I,J) HSNOW(I,J,bi,bj) = HSNOW(I,J,bi,bj) + d_HSNWfromFRW(I,J) a_QbyATM_cover(I,J)= a_QbyATM_cover(I,J) + d_QbyATMonSNW(I,J) cgf heat and water conservation: ok ENDDO ENDDO C compute heat due to the atmosphere that C remain available after melt/freeze processes C ============================================ #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE a_QbyATM_cover(:,:) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ DO J=1,sNy DO I=1,sNx a_QbyATM(I,J)= a_QbyATM_cover(I,J) * AREANm1(I,J,bi,bj) & + a_QbyATM_open(I,J) * (ONE-AREANm1(I,J,bi,bj)) ENDDO ENDDO C compute ice cover fraction tendency from a_QbyATM C ================================================= #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE a_QbyATM_cover(:,:) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE a_QbyATM(:,:) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE a_QbyATM_open(:,:) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE a_QSWbyATM_cover(:,:) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE a_QSWbyATM_open(:,:) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ DO J=1,sNy DO I=1,sNx tmpscal1 = -SEAICE_deltaTtherm*a_QbyATM(I,J)*recip_QI c (cannot melt more than all the ice) tmpscal2 = -ONE*MIN(HEFF(I,J,bi,bj),tmpscal1) tmpscal3 = MIN(ZERO,tmpscal2) #ifdef ALLOW_DIAGNOSTICS DIAGarray(I,J) = tmpscal2 #endif C gain of new ice over open water (>0 by definition) tmpscal4 = MAX(ZERO,SEAICE_deltaTtherm* & a_QbyATM_open(I,J)*recip_QI) c compute cover fraction tendency IF ( YC(I,J,bi,bj) .LT. ZERO ) THEN d_AREAbyATM(I,J)= & (ONE-AREANm1(I,J,bi,bj))*tmpscal4/HO_south & +HALF*tmpscal3*AREANm1(I,J,bi,bj) & /(HEFF(I,J,bi,bj)+.00001 _d 0) ELSE d_AREAbyATM(I,J)= & (ONE-AREANm1(I,J,bi,bj))*tmpscal4/HO & +HALF*tmpscal3*AREANm1(I,J,bi,bj) & /(HEFF(I,J,bi,bj)+.00001 _d 0) ENDIF c apply tendency AREA(I,J,bi,bj)=AREA(I,J,bi,bj)+d_AREAbyATM(I,J) ENDDO ENDDO #ifdef ALLOW_DIAGNOSTICS IF ( useDiagnostics ) THEN IF ( DIAGNOSTICS_IS_ON('SIfice ',myThid) ) THEN CALL DIAGNOSTICS_FILL(DIAGarray,'SIfice ',0,1,3,bi,bj,myThid) ENDIF ENDIF #endif C compute ice thickness tendency due to the atmosphere. C Freezing ocean water/melting ice also affects C the salt water and heat stocks. C ================================================= #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE area(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte #endif DO J=1,sNy DO I=1,sNx tmpscal1 = SEAICE_deltaTtherm* & a_QbyATM_cover(I,J)*recip_QI*AREANm1(I,J,bi,bj) C (cannot melt more than all the ice) tmpscal2 = MAX(-HEFF(I,J,bi,bj),tmpscal1) d_HEFFbyATMonOCN(I,J)=tmpscal2 C compute the r_QbyATM_cover residual as the difference between C the available heat tmpscal1 and the used tmpscal2; d_QbyATMonOCN(I,J)=(tmpscal2 - tmpscal1) & *QI/SEAICE_deltaTtherm-a_QbyATM_cover(I,J) c apply tendency r_QbyATM_cover(I,J) = a_QbyATM_cover(I,J)+d_QbyATMonOCN(I,J) HEFF(I,J,bi,bj) = HEFF(I,J,bi,bj) + d_HEFFbyATMonOCN(I,J) saltWtrIce(I,J,bi,bj) = saltWtrIce(I,J,bi,bj) + tmpscal2 cgf heat and water conservation: ok ENDDO ENDDO C attribute precip to fresh water or snow stock, C depending on atmospheric conditions. C ================================================= #ifdef ALLOW_ATM_TEMP DO J=1,sNy DO I=1,sNx IF ( FRWfromSNW(I,J).EQ.1 ) THEN C add precip as snow d_HFRWfromSNW(I,J)=0. _d 0 d_HSNWfromFRW(I,J)=SEAICE_deltaTtherm* & PRECIP(I,J,bi,bj)*AREANm1(I,J,bi,bj)*WATR2SNOW ELSE c add precip to the fresh water bucket d_HFRWfromSNW(I,J)=-PRECIP(I,J,bi,bj)*AREANm1(I,J,bi,bj)* & SEAICE_deltaTtherm/ICE2WATR d_HSNWfromFRW(I,J)=0. _d 0 ENDIF c apply tendency frWtrIce(I,J,bi,bj) = frWtrIce(I,J,bi,bj) + & d_HFRWfromSNW(I,J) HSNOW(I,J,bi,bj) = HSNOW(I,J,bi,bj) + d_HSNWfromFRW(I,J) ENDDO ENDDO cgf heat and water conservation: ok -- the air heat gain cgf to turn rain to snow is not a surface process. #endif /* ALLOW_ATM_TEMP */ C compute snow tendency due to heat available from atmosphere C can only reduce HSNOW. melted snow is added to fresh water stock. C ================================================================= cph( very sensitive bit here by JZ #ifndef SEAICE_EXCLUDE_FOR_EXACT_AD_TESTING DO J=1,sNy DO I=1,sNx tmpscal1=r_QbyICE(i,j) & / ( - QI / SEAICE_deltaTtherm ) IF( tmpscal1 .GT. ZERO .AND. & HSNOW(I,J,bi,bj) .GT. ZERO ) THEN d_HSNWbyOCNonSNW(I,J) = & - MIN( HSNOW(I,J,bi,bj)/WATR2SNOW/ICE2WATR , tmpscal1 ) ELSE d_HSNWbyOCNonSNW(I,J) = 0. _d 0 ENDIF d_QbySNW(I,J)=d_HSNWbyOCNonSNW(I,J) & * ( - QI / SEAICE_deltaTtherm ) c apply tendency r_QbyICE(I,J)=a_QbyICE(I,J)+d_QbySNW(I,J) HSNOW(I,J,bi,bj) = HSNOW(I,J,bi,bj) & +d_HSNWbyOCNonSNW(I,J)*WATR2SNOW*ICE2WATR frWtrIce(I,J,bi,bj) = frWtrIce(I,J,bi,bj) & +d_HSNWbyOCNonSNW(I,J) ENDDO ENDDO cgf heat and water conservation: ok -- but d_HSNWbyOCNonSNW cgf is in ice meter units, whereas HSNOW is in snow meter units, cgf which is potentially risky #endif /* SEAICE_EXCLUDE_FOR_EXACT_AD_TESTING */ cph) C compute net fresh water flux leaving/entering C the ocean, accounting for fresh/salt water stocks. C ================================================== #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE area(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte # ifdef SEAICE_SALINITY CADJ STORE hsalt(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte # endif /* SEAICE_SALINITY */ #endif /* ALLOW_AUTODIFF_TAMC */ #ifdef ALLOW_ATM_TEMP DO J=1,sNy DO I=1,sNx C NOW GET FRESH WATER FLUX EmPmR(I,J,bi,bj) = maskC(I,J,kSurface,bi,bj)*( & ( EVAP(I,J,bi,bj)-PRECIP(I,J,bi,bj) ) & * ( ONE - AREANm1(I,J,bi,bj) ) #ifdef ALLOW_RUNOFF & - RUNOFF(I,J,bi,bj) #endif & + frWtrIce(I,J,bi,bj)*ICE2WATR/SEAICE_deltaTtherm & + saltWtrIce(I,J,bi,bj)*ICE2WATR/SEAICE_deltaTtherm & )*rhoConstFresh cgf heat and water conservation: NOT OK -- the ICE2WATR is by default cgf computed using SEAICE_rhoIce and recip_rhoConst (see seaice_readparms.F) cgf that may be prescribed to differ from rhoConstFresh (see ini_parms.F). cgf In passing, I am not sure it is physically sound that one can specify cgf ICE2WATR indepentendly of recip_rhoConst&SEAICE_rhoIce in data.seaice. ENDDO ENDDO #ifdef ALLOW_DIAGNOSTICS IF ( useDiagnostics ) THEN IF ( DIAGNOSTICS_IS_ON('SIatmFW ',myThid) ) THEN DO J=1,sNy DO I=1,sNx DIAGarray(I,J) = maskC(I,J,kSurface,bi,bj)*( & PRECIP(I,J,bi,bj) & - EVAP(I,J,bi,bj) & *( ONE - AREANm1(I,J,bi,bj) ) & + RUNOFF(I,J,bi,bj) & )*rhoConstFresh ENDDO ENDDO CALL DIAGNOSTICS_FILL(DIAGarray,'SIatmFW ',0,1,3,bi,bj,myThid) ENDIF ENDIF #endif #ifdef ALLOW_MEAN_SFLUX_COST_CONTRIBUTION DO J=1,sNy DO I=1,sNx frWtrAtm(I,J,bi,bj) = maskC(I,J,kSurface,bi,bj)*( & PRECIP(I,J,bi,bj) & - EVAP(I,J,bi,bj) & *( ONE - AREANm1(I,J,bi,bj) ) & + RUNOFF(I,J,bi,bj) & )*rhoConstFresh ENDDO ENDDO #endif C COMPUTE SURFACE SALT FLUX AND ADJUST ICE SALINITY C ================================================== #ifdef SEAICE_SALINITY DO J=1,sNy DO I=1,sNx C set HSALT = 0 if HSALT < 0 and compute salt to remove from ocean IF ( HSALT(I,J,bi,bj) .LT. 0.0 ) THEN saltFluxAdjust(I,J) = - HEFFM(I,J,bi,bj) * & HSALT(I,J,bi,bj) / SEAICE_deltaTtherm HSALT(I,J,bi,bj) = 0.0 _d 0 ENDIF ENDDO ENDDO #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE hsalt(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ DO J=1,sNy DO I=1,sNx C saltWtrIce > 0 : m of sea ice that is created IF ( saltWtrIce(I,J,bi,bj) .GE. 0.0 ) THEN saltFlux(I,J,bi,bj) = & HEFFM(I,J,bi,bj)*saltWtrIce(I,J,bi,bj)* & ICE2WATR*rhoConstFresh*SEAICE_salinity* & salt(I,j,kSurface,bi,bj)/SEAICE_deltaTtherm #ifdef ALLOW_SALT_PLUME C saltPlumeFlux is defined only during freezing: saltPlumeFlux(I,J,bi,bj)= & HEFFM(I,J,bi,bj)*saltWtrIce(I,J,bi,bj)* & ICE2WATR*rhoConstFresh*(1-SEAICE_salinity)* & salt(I,j,kSurface,bi,bj)/SEAICE_deltaTtherm C if SaltPlumeSouthernOcean=.FALSE. turn off salt plume in Southern Ocean IF ( .NOT. SaltPlumeSouthernOcean ) THEN IF ( YC(I,J,bi,bj) .LT. 0.0 _d 0 ) & saltPlumeFlux(i,j,bi,bj) = 0.0 _d 0 ENDIF #endif /* ALLOW_SALT_PLUME */ C saltWtrIce < 0 : m of sea ice that is melted ELSE saltFlux(I,J,bi,bj) = & HEFFM(I,J,bi,bj)*saltWtrIce(I,J,bi,bj)* & HSALT(I,J,bi,bj)/ & (HEFF(I,J,bi,bj)-saltWtrIce(I,J,bi,bj))/ & SEAICE_deltaTtherm #ifdef ALLOW_SALT_PLUME saltPlumeFlux(i,j,bi,bj) = 0.0 _d 0 #endif /* ALLOW_SALT_PLUME */ ENDIF C update HSALT based on surface saltFlux HSALT(I,J,bi,bj) = HSALT(I,J,bi,bj) + & saltFlux(I,J,bi,bj) * SEAICE_deltaTtherm saltFlux(I,J,bi,bj) = & saltFlux(I,J,bi,bj) + saltFluxAdjust(I,J) C set HSALT = 0 if HEFF = 0 and compute salt to dump into ocean IF ( HEFF(I,J,bi,bj) .EQ. 0.0 ) THEN saltFlux(I,J,bi,bj) = saltFlux(I,J,bi,bj) - & HEFFM(I,J,bi,bj) * HSALT(I,J,bi,bj) / & SEAICE_deltaTtherm HSALT(I,J,bi,bj) = 0.0 _d 0 #ifdef ALLOW_SALT_PLUME saltPlumeFlux(i,j,bi,bj) = 0.0 _d 0 #endif /* ALLOW_SALT_PLUME */ ENDIF ENDDO ENDDO #endif /* SEAICE_SALINITY */ #endif /* ALLOW_ATM_TEMP */ C compute net heat flux leaving/entering the ocean, C accounting for the part used in melt/freeze processes C ===================================================== DO J=1,sNy DO I=1,sNx QNET(I,J,bi,bj) = r_QbyATM_cover(I,J) * AREANm1(I,J,bi,bj) & +a_QbyATM_open(I,J) * (ONE-AREANm1(I,J,bi,bj)) QSW(I,J,bi,bj) = a_QSWbyATM_cover(I,J) * AREANm1(I,J,bi,bj) & +a_QSWbyATM_open(I,J) * (ONE-AREANm1(I,J,bi,bj)) ENDDO ENDDO #ifdef ALLOW_DIAGNOSTICS IF ( useDiagnostics ) THEN IF ( DIAGNOSTICS_IS_ON('SIqneto ',myThid) ) THEN DO J=1,sNy DO I=1,sNx DIAGarray(I,J) = a_QbyATM_open(I,J) * & (ONE-areaNm1(I,J,bi,bj)) ENDDO ENDDO CALL DIAGNOSTICS_FILL(DIAGarray,'SIqneto ',0,1,3,bi,bj,myThid) ENDIF IF ( DIAGNOSTICS_IS_ON('SIqneti ',myThid) ) THEN DO J=1,sNy DO I=1,sNx DIAGarray(I,J) = r_QbyATM_cover(I,J) * areaNm1(I,J,bi,bj) ENDDO ENDDO CALL DIAGNOSTICS_FILL(DIAGarray,'SIqneti ',0,1,3,bi,bj,myThid) ENDIF ENDIF #endif C account for contribution due to ocean-ice interaction. C ====================================================== DO J=1,sNy DO I=1,sNx QNET(I,J,bi,bj) = QNET(I,J,bi,bj) & + ( d_QbyICE(I,J) + d_QbySNW(I,J) ) & * maskC(I,J,kSurface,bi,bj) cgf heat and water conservation: ok -- since rid of 72.0764 factor ENDDO ENDDO #ifdef SEAICE_DEBUG CALL PLOT_FIELD_XYRL( QSW,'Current QSW ', myIter, myThid ) CALL PLOT_FIELD_XYRL( QNET,'Current QNET ', myIter, myThid ) CALL PLOT_FIELD_XYRL( EmPmR,'Current EmPmR ', myIter, myThid ) #endif /* SEAICE_DEBUG */ C treat values of ice cover fraction oustide C the [0 1] range, and other such issues. C =========================================== cgf heat and water conservation: NOT OK #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE area(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE heff(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ DO J=1,sNy DO I=1,sNx C NOW SET AREA(I,J,bi,bj)=0 WHERE NO ICE IS AREA(I,J,bi,bj)=MIN(AREA(I,J,bi,bj) & ,HEFF(I,J,bi,bj)/.0001 _d 0) ENDDO ENDDO #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE area(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ DO J=1,sNy DO I=1,sNx C NOW TRUNCATE AREA AREA(I,J,bi,bj)=MIN(ONE,AREA(I,J,bi,bj)) ENDDO ENDDO #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE area(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte CADJ STORE hsnow(:,:,bi,bj) = comlev1_bibj, CADJ & key = iicekey, byte = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ DO J=1,sNy DO I=1,sNx AREA(I,J,bi,bj) = MAX(ZERO,AREA(I,J,bi,bj)) HSNOW(I,J,bi,bj) = MAX(ZERO,HSNOW(I,J,bi,bj)) AREA(I,J,bi,bj) = AREA(I,J,bi,bj)*HEFFM(I,J,bi,bj) HEFF(I,J,bi,bj) = HEFF(I,J,bi,bj)*HEFFM(I,J,bi,bj) #ifdef SEAICE_CAP_HEFF HEFF(I,J,bi,bj)=MIN(MAX_HEFF,HEFF(I,J,bi,bj)) #endif /* SEAICE_CAP_HEFF */ HSNOW(I,J,bi,bj) = HSNOW(I,J,bi,bj)*HEFFM(I,J,bi,bj) ENDDO ENDDO #ifdef ALLOW_DIAGNOSTICS IF ( useDiagnostics ) THEN IF ( DIAGNOSTICS_IS_ON('SIthdgrh',myThid) ) THEN C use (abuse) tmparr1 to diagnose the total thermodynamic growth rate DO J=1,sNy DO I=1,sNx tmparr1(I,J) = (HEFF(I,J,bi,bj)-HEFFNm1(I,J,bi,bj)) & /SEAICE_deltaTtherm ENDDO ENDDO CALL DIAGNOSTICS_FILL(tmparr1,'SIthdgrh',0,1,3,bi,bj,myThid) ENDIF ENDIF #endif /* ALLOW_DIAGNOSTICS */ C convert snow to ice if submerged. C ================================= #ifdef ALLOW_SEAICE_FLOODING IF ( SEAICEuseFlooding ) THEN DO J=1,sNy DO I=1,sNx hDraft = (HSNOW(I,J,bi,bj)*SEAICE_rhoSnow & +HEFF(I,J,bi,bj)*SEAICE_rhoIce)/1000. _d 0 cgf - the following comparison is odd: hdraft is in cgf water meters, whereas heff is in ice meters cgf - use of 1000 instead of rhoConstFresh... tmparr1(I,J) = hDraft - MIN(hDraft,HEFF(I,J,bi,bj)) C d_HEFFfromSNWflood(I,J)=tmparr1(I,J) d_SNWintoICEflood(I,J)=MAX(0. _d 0, HSNOW(I,J,bi,bj) & -tmparr1(I,J)*ICE2SNOW ) - HSNOW(I,J,bi,bj) c apply tendency HEFF(I,J,bi,bj) = HEFF(I,J,bi,bj)+d_HEFFfromSNWflood(I,J) HSNOW(I,J,bi,bj) = HSNOW(I,J,bi,bj)+d_SNWintoICEflood(I,J) cgf heat and water conservation: NOT OK cgf - since QI.NE.QS the flooding process implies a loss of heat for cgf the SNOW/ICE system, which should be compensated by a heat gain in cgf the ocean (or at least accounted for as a release to the atmosphere). cgf - use of 1000 instead of rhoConstFresh... ENDDO ENDDO #ifdef ALLOW_DIAGNOSTICS IF ( useDiagnostics ) THEN IF ( DIAGNOSTICS_IS_ON('SIsnwice',myThid) ) THEN C turn tmparr1 into a rate DO J=1,sNy DO I=1,sNx tmparr1(I,J) = tmparr1(I,J)/SEAICE_deltaTtherm ENDDO ENDDO CALL DIAGNOSTICS_FILL(tmparr1,'SIsnwice',0,1,3,bi,bj,myThid) ENDIF ENDIF #endif /* ALLOW_DIAGNOSTICS */ ENDIF #endif /* ALLOW_SEAICE_FLOODING */ C Sea Ice Load on the sea surface. C ================================= IF ( useRealFreshWaterFlux ) THEN DO J=1,sNy DO I=1,sNx sIceLoad(i,j,bi,bj) = HEFF(I,J,bi,bj)*SEAICE_rhoIce & + HSNOW(I,J,bi,bj)*SEAICE_rhoSnow ENDDO ENDDO ENDIF C Sea Ice Age Tracer. C =================== #ifdef SEAICE_AGE # ifndef SEAICE_AGE_VOL C Sources and sinks for sea ice age: C assume that a) freezing: new ice fraction forms with zero age C b) melting: ice fraction vanishes with current age DO J=1,sNy DO I=1,sNx IF ( AREA(I,J,bi,bj) .GT. 0.15 ) THEN IF ( AREA(i,j,bi,bj) .LT. old_AREA(i,j) ) THEN C-- scale effective ice-age to account for ice-age sink associated with melting IceAge(i,j,bi,bj) = IceAge(i,j,bi,bj) & *AREA(i,j,bi,bj)/old_AREA(i,j) ENDIF C-- account for aging: IceAge(i,j,bi,bj) = IceAge(i,j,bi,bj) & + AREA(i,j,bi,bj) * SEAICE_deltaTtherm ELSE IceAge(i,j,bi,bj) = ZERO ENDIF ENDDO ENDDO # else /* ifdef SEAICE_AGE_VOL */ C Sources and sinks for sea ice age: C assume that a) freezing: new ice volume forms with zero age C b) melting: ice volume vanishes with current age DO J=1,sNy DO I=1,sNx C-- compute actual age from effective age: IF (OLD_AREA(i,j).GT.0. _d 0) THEN age_actual=IceAge(i,j,bi,bj)/OLD_AREA(i,j) ELSE age_actual=0. _d 0 ENDIF IF ( (OLD_HEFF(i,j).LT.HEFF(i,j,bi,bj)).AND. & (AREA(i,j,bi,bj).GT.0.15) ) THEN age_actual=age_actual*OLD_HEFF(i,j)/ & HEFF(i,j,bi,bj)+SEAICE_deltaTtherm ELSEIF (AREA(i,j,bi,bj).LE.0.15) THEN age_actual=0. _d 0 ELSE age_actual=age_actual+SEAICE_deltaTtherm ENDIF C-- re-scale to effective age: IceAge(i,j,bi,bj) = age_actual*AREA(i,j,bi,bj) ENDDO ENDDO # endif /* SEAICE_AGE_VOL */ #endif /* SEAICE_AGE */ ENDDO ENDDO RETURN END