! ! $Id: sulfate_aer_mod.F90 3798 2021-01-11 22:24:08Z fhourdin $ ! MODULE sulfate_aer_mod ! microphysical routines based on UPMC aerosol model by Slimane Bekki ! adapted for stratospheric sulfate aerosol in LMDZ by Christoph Kleinschmitt CONTAINS !******************************************************************** SUBROUTINE STRACOMP(sh,t_seri,pplay) ! AEROSOL H2SO4 WEIGHT FRACTION AS A FUNCTION OF PH2O AND TEMPERATURE ! ---------------------------------------------------------------- ! INPUT: ! H2O: VMR of H2O ! t_seri: temperature (K) ! PMB: pressure (mb) ! klon: number of latitude bands in the model domain ! klev: number of altitude bands in the model domain ! for IFS: perhaps add another dimension for longitude ! ! OUTPUT: ! R2SO4: aerosol H2SO4 weight fraction (percent) USE dimphy, ONLY : klon,klev USE aerophys USE phys_local_var_mod, ONLY: R2SO4 IMPLICIT NONE REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature REAL,DIMENSION(klon,klev),INTENT(IN) :: pplay ! pression pour le mileu de chaque couche (en Pa) REAL,DIMENSION(klon,klev),INTENT(IN) :: sh ! humidite specifique REAL PMB(klon,klev), H2O(klon,klev) ! ! working variables INTEGER I,J,K REAL TP, PH2O, VAL, A, B ! local variables to be saved on exit INTEGER INSTEP INTEGER, PARAMETER :: N=16, M=28 DATA INSTEP/0/ REAL F(N,M) REAL XC(N) REAL YC(M) REAL XC1, XC16, YC1, YC28 ! SAVE INSTEP,F,XC,YC,XC1,XC16,YC1,YC28 !$OMP THREADPRIVATE(INSTEP,F,XC,YC,XC1,XC16,YC1,YC28) ! convert pplay (in Pa) to PMB (in mb) PMB(:,:)=pplay(:,:)/100.0 ! convert specific humidity sh (in kg/kg) to VMR H2O H2O(:,:)=sh(:,:)*mAIRmol/mH2Omol IF(INSTEP.EQ.0) THEN INSTEP=1 XC(1)=0.01 XC(2)=0.1 XC(3)=0.5 XC(4)=1.0 XC(5)=1.5 XC(6)=2.0 XC(7)=3.0 XC(8)=5.0 XC(9)=6.0 XC(10)=8.0 XC(11)=10.0 XC(12)=12.0 XC(13)=15.0 XC(14)=20.0 XC(15)=30.0 XC(16)=100.0 ! YC(1)=175.0 DO I=2,28 YC(I)=YC(I-1)+5.0 ENDDO ! CONVERSION mb IN 1.0E-4mB DO I=1,16 XC(I)=XC(I)*1.0E-4 ENDDO ! XC1=XC(1)+1.E-10 XC16=XC(16)-1.E-8 YC1=YC(1)+1.E-5 YC28=YC(28)-1.E-5 F(6,4)=43.45 F(6,5)=53.96 F(6,6)=60.62 F(6,7)=65.57 F(6,8)=69.42 F(6,9)=72.56 F(6,10)=75.17 F(6,11)=77.38 F(6,12)=79.3 F(6,13)=80.99 F(6,14)=82.5 F(6,15)=83.92 F(6,16)=85.32 F(6,17)=86.79 F(6,18)=88.32 ! ! ADD FACTOR BECAUSE THE SLOP IS TOO IMPORTANT ! NOT FOR THIS ONE BUT THE REST ! LOG DOESN'T WORK A=(F(6,5)-F(6,4))/( (YC(5)-YC(4))*2.0) B=-A*YC(4) + F(6,4) F(6,1)=A*YC(1) + B F(6,2)=A*YC(2) + B F(6,3)=A*YC(3) + B ! F(7,4)=37.02 F(7,5)=49.46 F(7,6)=57.51 F(7,7)=63.12 F(7,8)=67.42 F(7,9)=70.85 F(7,10)=73.70 F(7,11)=76.09 F(7,12)=78.15 F(7,13)=79.96 F(7,14)=81.56 F(7,15)=83.02 F(7,16)=84.43 F(7,17)=85.85 F(7,18)=87.33 ! A=(F(7,5)-F(7,4))/( (YC(5)-YC(4))*2.0) B=-A*YC(4) + F(7,4) F(7,1)=A*YC(1) + B F(7,2)=A*YC(2) + B F(7,3)=A*YC(3) + B ! F(8,4)=25.85 F(8,5)=42.26 F(8,6)=52.78 F(8,7)=59.55 F(8,8)=64.55 F(8,9)=68.45 F(8,10)=71.63 F(8,11)=74.29 F(8,12)=76.56 F(8,13)=78.53 F(8,14)=80.27 F(8,15)=81.83 F(8,16)=83.27 F(8,17)=84.67 F(8,18)=86.10 ! A=(F(8,5)-F(8,4))/( (YC(5)-YC(4))*2.5 ) B=-A*YC(4) + F(8,4) F(8,1)=A*YC(1) + B F(8,2)=A*YC(2) + B F(8,3)=A*YC(3) + B ! F(9,4)=15.38 F(9,5)=39.35 F(9,6)=50.73 F(9,7)=58.11 F(9,8)=63.41 F(9,9)=67.52 F(9,10)=70.83 F(9,11)=73.6 F(9,12)=75.95 F(9,13)=77.98 F(9,14)=79.77 F(9,15)=81.38 F(9,16)=82.84 F(9,17)=84.25 F(9,18)=85.66 ! A=(F(9,5)-F(9,4))/( (YC(5)-YC(4))*7.0) B=-A*YC(4) + F(9,4) F(9,1)=A*YC(1) + B F(9,2)=A*YC(2) + B F(9,3)=A*YC(3) + B ! F(10,4)=0.0 F(10,5)=34.02 F(10,6)=46.93 F(10,7)=55.61 F(10,8)=61.47 F(10,9)=65.94 F(10,10)=69.49 F(10,11)=72.44 F(10,12)=74.93 F(10,13)=77.08 F(10,14)=78.96 F(10,15)=80.63 F(10,16)=82.15 F(10,17)=83.57 F(10,18)=84.97 ! A=(F(10,6)-F(10,5))/( (YC(6)-YC(5))*1.5) B=-A*YC(5) + F(10,5) F(10,1)=A*YC(1) + B F(10,2)=A*YC(2) + B F(10,3)=A*YC(3) + B F(10,4)=A*YC(4) + B ! F(11,4)=0.0 F(11,5)=29.02 F(11,6)=43.69 F(11,7)=53.44 F(11,8)=59.83 F(11,9)=64.62 F(11,10)=68.39 F(11,11)=71.48 F(11,12)=74.10 F(11,13)=76.33 F(11,14)=78.29 F(11,15)=80.02 F(11,16)=81.58 F(11,17)=83.03 F(11,18)=84.44 ! A=(F(11,6)-F(11,5))/( (YC(6)-YC(5))*2.5 ) B=-A*YC(5) + F(11,5) F(11,1)=A*YC(1) + B F(11,2)=A*YC(2) + B F(11,3)=A*YC(3) + B F(11,4)=A*YC(4) + B ! F(12,4)=0.0 F(12,5)=23.13 F(12,6)=40.86 F(12,7)=51.44 F(12,8)=58.38 F(12,9)=63.47 F(12,10)=67.43 F(12,11)=70.66 F(12,12)=73.38 F(12,13)=75.70 F(12,14)=77.72 F(12,15)=79.51 F(12,16)=81.11 F(12,17)=82.58 F(12,18)=83.99 ! A=(F(12,6)-F(12,5))/( (YC(6)-YC(5))*3.5 ) B=-A*YC(5) + F(12,5) F(12,1)=A*YC(1) + B F(12,2)=A*YC(2) + B F(12,3)=A*YC(3) + B F(12,4)=A*YC(4) + B ! F(13,4)=0.0 F(13,5)=0.0 F(13,6)=36.89 F(13,7)=48.63 F(13,8)=56.46 F(13,9)=61.96 F(13,10)=66.19 F(13,11)=69.6 F(13,12)=72.45 F(13,13)=74.89 F(13,14)=76.99 F(13,15)=78.85 F(13,16)=80.50 F(13,17)=82.02 F(13,18)=83.44 ! A=(F(13,7)-F(13,6))/( (YC(7)-YC(6))*2.0) B=-A*YC(6) + F(13,6) F(13,1)=A*YC(1) + B F(13,2)=A*YC(2) + B F(13,3)=A*YC(3) + B F(13,4)=A*YC(4) + B F(13,5)=A*YC(5) + B ! F(14,4)=0.0 F(14,5)=0.0 F(14,6)=30.82 F(14,7)=44.49 F(14,8)=53.69 F(14,9)=59.83 F(14,10)=64.47 F(14,11)=68.15 F(14,12)=71.19 F(14,13)=73.77 F(14,14)=76.0 F(14,15)=77.95 F(14,16)=79.69 F(14,17)=81.26 F(14,18)=82.72 ! A=(F(14,7)-F(14,6))/( (YC(7)-YC(6))*2.5 ) B=-A*YC(6) + F(14,6) F(14,1)=A*YC(1) + B F(14,2)=A*YC(2) + B F(14,3)=A*YC(3) + B F(14,4)=A*YC(4) + B F(14,5)=A*YC(5) + B ! F(15,4)=0.0 F(15,5)=0.0 F(15,6)=0.0 F(15,7)=37.71 F(15,8)=48.49 F(15,9)=56.40 F(15,10)=61.75 F(15,11)=65.89 F(15,12)=69.25 F(15,13)=72.07 F(15,14)=74.49 F(15,15)=76.59 F(15,16)=78.45 F(15,17)=80.12 F(15,18)=81.64 ! A=(F(15,8)-F(15,7))/( (YC(8)-YC(7))*1.5) B=-A*YC(7) + F(15,7) F(15,1)=A*YC(1) + B F(15,2)=A*YC(2) + B F(15,3)=A*YC(3) + B F(15,4)=A*YC(4) + B F(15,5)=A*YC(5) + B F(15,6)=A*YC(6) + B ! SUPPOSE THAT AT GIVEN AND PH2O<2mB, ! %H2SO4 = A *LOG(PH2O) +B ! XC(1-5) :EXTENSION LEFT (LOW H2O) DO J=1,18 A=(F(6,J)-F(7,J))/(LOG(XC(6))-LOG(XC(7))) B=-A*LOG(XC(6)) + F(6,J) DO K=1,5 F(K,J)=A*LOG(XC(K)) + B ENDDO ENDDO ! XC(16) :EXTENSION RIGHT (HIGH H2O) DO J=1,18 A=(F(15,J)-F(14,J))/(XC(15)-XC(14)) B=-A*XC(15) + F(15,J) F(16,J)=A*XC(16) + B ! F(16,2)=1.0 ENDDO ! YC(16-25) :EXTENSION DOWN (HIGH T) DO I=1,16 A=(F(I,18)-F(I,17))/(YC(18)-YC(17)) B=-A*YC(18) + F(I,18) DO K=19,28 F(I,K)=A*YC(K) + B ENDDO ENDDO ! MANUAL CORRECTIONS DO J=1,10 F(1,J)=94.0 ENDDO DO J=1,6 F(2,J)=77.0 +REAL(J) ENDDO DO J=1,7 F(16,J)=9.0 ENDDO DO I=1,16 DO J=1,28 IF (F(I,J).LT.9.0) F(I,J)=30.0 IF (F(I,J).GT.99.99) F(I,J)=99.99 ENDDO ENDDO ENDIF DO I=1,klon DO J=1,klev TP=t_seri(I,J) IF (TP.LT.175.1) TP=175.1 ! Partial pressure of H2O (mb) PH2O =PMB(I,J)*H2O(I,J) IF (PH2O.LT.XC1) THEN R2SO4(I,J)=99.99 ! PH2O=XC(1)+1.0E-10 ELSE IF (PH2O.GT.XC16) PH2O=XC16 ! SIMPLE LINEAR INTERPOLATIONS CALL FIND(PH2O,TP,XC,YC,F,VAL,N,M) IF (PMB(I,J).GE.10.0.AND.VAL.LT.60.0) VAL=60.0 R2SO4(I,J)=VAL ENDIF ENDDO ENDDO END SUBROUTINE !**************************************************************** SUBROUTINE STRAACT(ACTSO4) ! H2SO4 ACTIVITY (GIAUQUE) AS A FUNCTION OF H2SO4 WP ! ---------------------------------------- ! INPUT: ! H2SO4: VMR of H2SO4 ! klon: number of latitude bands in the model domain ! klev: number of altitude bands in the model domain ! for IFS: perhaps add another dimension for longitude ! ! OUTPUT: ! ACTSO4: H2SO4 activity (percent) USE dimphy, ONLY : klon,klev USE phys_local_var_mod, ONLY: R2SO4 IMPLICIT NONE REAL ACTSO4(klon,klev) ! Working variables INTEGER NN,I,J,JX,JX1 REAL TC,TB,TA,XT PARAMETER (NN=109) REAL XC(NN), X(NN) ! H2SO4 activity DATA X/ & & 0.0,0.25,0.78,1.437,2.19,3.07,4.03,5.04,6.08 & & ,7.13,8.18,14.33,18.59,28.59,39.17,49.49 & & ,102.4,157.8,215.7,276.9,341.6,409.8,481.5,556.6 & & ,635.5,719.,808.,902.,1000.,1103.,1211.,1322.,1437.,1555. & & ,1677.,1800.,1926.,2054.,2183.,2312.,2442.,2572.,2701.,2829. & & ,2955.,3080.,3203.,3325.,3446.,3564.,3681.,3796.,3910.,4022. & & ,4134.,4351.,4564.,4771.,4974.,5171.,5364.,5551.,5732.,5908. & & ,6079.,6244.,6404.,6559.,6709.,6854.,6994.,7131.,7264.,7393. & & ,7520.,7821.,8105.,8373.,8627.,8867.,9093.,9308.,9511.,9703. & & ,9885.,10060.,10225.,10535.,10819.,11079.,11318.,11537. & & ,11740.,12097.,12407.,12676.,12915.,13126.,13564.,13910. & & ,14191.,14423.,14617.,14786.,10568.,15299.,15491.,15654. & & ,15811./ ! H2SO4 weight fraction (percent) DATA XC/ & & 100.0,99.982,99.963,99.945,99.927,99.908,99.890,99.872 & & ,99.853,99.835,99.817,99.725,99.634,99.452,99.270 & & ,99.090,98.196,97.319,96.457,95.610,94.777,93.959,93.156 & & ,92.365,91.588,90.824,90.073,89.334,88.607,87.892,87.188 & & ,86.495,85.814,85.143,84.482,83.832,83.191,82.560,81.939 & & ,81.327,80.724,80.130,79.545,78.968,78.399,77.839,77.286 & & ,76.741,76.204,75.675,75.152,74.637,74.129,73.628,73.133 & & ,72.164,71.220,70.300,69.404,68.530,67.678,66.847,66.037 & & ,65.245,64.472,63.718,62.981,62.261,61.557,60.868,60.195 & & ,59.537,58.893,58.263,57.646,56.159,54.747,53.405,52.126 & & ,50.908,49.745,48.634,47.572,46.555,45.580,44.646,43.749 & & ,42.059,40.495,39.043,37.691,36.430,35.251,33.107,31.209 & & ,29.517,27.999,26.629,23.728,21.397,19.482,17.882,16.525 & & ,15.360,13.461,11.980,10.792,9.819,8.932/ DO I=1,klon DO J=1,klev ! HERE LINEAR INTERPOLATIONS XT=R2SO4(I,J) CALL POSACT(XT,XC,NN,JX) JX1=JX+1 IF(JX.EQ.0) THEN ACTSO4(I,J)=0.0 ELSE IF(JX.GE.NN) THEN ACTSO4(I,J)=15811.0 ELSE TC=XT -XC(JX) TB=X(JX1) -X(JX) TA=XC(JX1) -XC(JX) TA=TB/TA ACTSO4(I,J)=X(JX) + TA*TC ENDIF ENDDO ENDDO END SUBROUTINE !**************************************************************** SUBROUTINE DENH2SA(t_seri) ! AERSOL DENSITY AS A FUNCTION OF H2SO4 WEIGHT PERCENT AND T ! --------------------------------------------- ! VERY ROUGH APPROXIMATION (SEE FOR WATER IN HANDBOOK ! LINEAR 2% FOR 30 DEGREES with RESPECT TO WATER) ! ! INPUT: ! R2SO4: aerosol H2SO4 weight fraction (percent) ! t_seri: temperature (K) ! klon: number of latitude bands in the model domain ! klev: number of altitude bands in the model domain ! for IFS: perhaps add another dimension for longitude ! ! OUTPUT: ! DENSO4: aerosol mass density (gr/cm3 = aerosol mass/aerosol volume) ! USE dimphy, ONLY : klon,klev USE phys_local_var_mod, ONLY: R2SO4, DENSO4 IMPLICIT NONE REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature INTEGER I,J ! Loop on model domain (2 dimension for UPMC model; 3 for IFS) DO I=1,klon DO J=1,klev ! RO AT 20C DENSO4(I,J)=0.78681252E-5*R2SO4(I,J)*R2SO4(I,J)+ 0.82185978E-2*R2SO4(I,J)+0.97968381 DENSO4(I,J)=DENSO4(I,J)* ( 1.0 - (t_seri(I,J)-293.0)*0.02/30.0 ) ENDDO ENDDO END SUBROUTINE !*********************************************************** SUBROUTINE FIND(X,Y,XC,YC,F,VAL,N,M) ! ! BI-LINEAR INTERPOLATION ! INPUT: ! X: Partial pressure of H2O (mb) ! Y: temperature (K) ! XC: Table partial pressure of H2O (mb) ! YC: Table temperature (K) ! F: Table aerosol H2SO4 weight fraction=f(XC,YC) (percent) ! ! OUTPUT: ! VAL: aerosol H2SO4 weight fraction (percent) IMPLICIT NONE INTEGER N,M REAL X,Y,XC(N),YC(M),F(N,M),VAL ! ! working variables INTEGER IERX,IERY,JX,JY,JXP1,JYP1 REAL SXY,SX1Y,SX1Y1,SXY1,TA,TB,T,UA,UB,U IERX=0 IERY=0 CALL POSITION(XC,X,N,JX,IERX) CALL POSITION(YC,Y,M,JY,IERY) IF(JX.EQ.0.OR.IERY.EQ.1) THEN VAL=99.99 RETURN ENDIF IF(JY.EQ.0.OR.IERX.EQ.1) THEN VAL=9.0 RETURN ENDIF JXP1=JX+1 JYP1=JY+1 SXY=F(JX, JY ) SX1Y=F(JXP1,JY ) SX1Y1=F(JXP1,JYP1) SXY1=F(JX, JYP1) ! x-slope. TA=X -XC(JX) TB=XC(JXP1)-XC(JX) T=TA/TB ! y-slope. UA=Y -YC(JY) UB=YC(JYP1)-YC(JY) U=UA/UB ! Use bilinear interpolation to determine function at point X,Y. VAL=(1.-T)*(1.-U)*SXY + T*(1.0-U)*SX1Y + T*U*SX1Y1 + (1.0-T)*U*SXY1 IF(VAL.LT.9.0) VAL=9.0 IF(VAL.GT.99.99) VAL=99.99 RETURN END SUBROUTINE !**************************************************************** SUBROUTINE POSITION(XC,X,N,JX,IER) IMPLICIT NONE INTEGER N,JX,IER,I REAL X,XC(N) IER=0 IF(X.LT.XC(1)) THEN JX=0 ELSE DO 10 I=1,N IF (X.LT.XC(I)) GO TO 20 10 CONTINUE IER=1 20 JX=I-1 ENDIF RETURN END SUBROUTINE !******************************************************************** SUBROUTINE POSACT(XT,X,N,JX) ! POSITION OF XT IN THE ARRAY X ! ----------------------------------------------- IMPLICIT NONE INTEGER N REAL XT,X(N) ! Working variables INTEGER JX,I IF(XT.GT.X(1)) THEN JX=0 ELSE DO 10 I=1,N IF (XT.GT.X(I)) GO TO 20 10 CONTINUE 20 JX=I ENDIF RETURN END SUBROUTINE END MODULE sulfate_aer_mod