SUBROUTINE SWR_FOUQUART ( KDLON, KFLEV, KNU S , aerosol,QVISsQREF3d,omegaVIS3d,gVIS3d & , albedo,PDSIG,PPSOL,PRMU,PSEC S , PFD,PFU ) IMPLICIT NONE C #include "dimensions.h" #include "dimphys.h" #include "dimradmars.h" #include "callkeys.h" #include "yomaer.h" #include "yomlw.h" C C SWR - Continuum scattering computations C C PURPOSE. C -------- C Computes the reflectivity and transmissivity in case oF C Continuum scattering c F. Forget (1999) c c BASED ON MORCRETTE EARTH MODEL C (See radiation's part of the ecmwf research department C documentation, and Fouquart and BonneL (1980) C C IMPLICIT ARGUMENTS : C -------------------- C C ==== INPUTS === c c KDLON : number of horizontal grid points c KFLEV : number of vertical layers c KNU : Solar band # (1 or 2) c aerosol aerosol extinction optical depth c at reference wavelength "longrefvis" set c in dimradmars.h , in each layer, for one of c the "naerkind" kind of aerosol optical properties. c albedo hemispheric surface albedo c albedo (i,1) : mean albedo for solar band#1 c (see below) c albedo (i,2) : mean albedo for solar band#2 c (see below) c PDSIG layer thickness in sigma coordinates c PPSOL Surface pressure (Pa) c PRMU: cos of solar zenith angle (=1 when sun at zenith) c (CORRECTED for high zenith angle (atmosphere), unlike mu0) c PSEC =1./PRMU C ==== OUTPUTS === c c PFD : downward flux in spectral band #INU in a given mesh c (normalized to the total incident flux at the top of the atmosphere) c PFU : upward flux in specatral band #INU in a given mesh c (normalized to the total incident flux at the top of the atmosphere) C C C METHOD. C ------- C C Computes continuum fluxes corresponding to aerosoL C Or/and rayleigh scattering (no molecular gas absorption) C C----------------------------------------------------------------------- C C C----------------------------------------------------------------------- C C ARGUMENTS C --------- INTEGER KDLON, KFLEV, KNU REAL aerosol(NDLO2,KFLEV,naerkind), albedo(NDLO2,2), S PDSIG(NDLO2,KFLEV),PSEC(NDLO2) REAL QVISsQREF3d(NDLO2,KFLEV,nsun,naerkind) REAL omegaVIS3d(NDLO2,KFLEV,nsun,naerkind) REAL gVIS3d(NDLO2,KFLEV,nsun,naerkind) REAL PPSOL(NDLO2) REAL PFD(NDLO2,KFLEV+1),PFU(NDLO2,KFLEV+1) REAL PRMU(NDLO2) C LOCAL ARRAYS C ------------ INTEGER jk,ja,jl,jae, jkl,jklp1,jkm1,jaj REAL ZTRAY, ZRATIO,ZGAR, ZFF real zfacoa,zcorae real ZMUE, zgap,zbmu0, zww,zto,zden,zmu1,zbmu1,zden1,zre11 REAL ZC1I(NDLON,NFLEV+1), ZGG(NDLON), ZREF(NDLON) S , ZRE1(NDLON), ZRE2(NDLON) S , ZRMUZ(NDLON), ZRNEB(NDLON), ZR21(NDLON) S , ZR23(NDLON), ZSS1(NDLON), ZTO1(NDLON), ZTR(NDLON,2,NFLEV+1) S , ZTR1(NDLON), ZTR2(NDLON), ZW(NDLON) REAL ZRAY1(NDLO2,NFLEV+1), ZRAY2(NDLO2,NFLEV+1) s , ZREFZ(NDLO2,2,NFLEV+1) S , ZRMUE(NDLO2,NFLEV+1) S , ZCGAZ(NDLO2,NFLEV),ZPIZAZ(NDLO2,NFLEV),ZTAUAZ(NDLO2,NFLEV) REAL ZRAYL(NDLON) S , ZRJ(NDLON,6,NFLEV+1) S , ZRK(NDLON,6,NFLEV+1) S , ZTRA1(NDLON,NFLEV+1), ZTRA2(NDLON,NFLEV+1) c Function c -------- real CVMGT C -------------------------------- C OPTICAL PARAMETERS FOR AEROSOLS C ------------------------------- C DO JK = 1 , nlaylte+1 DO JA = 1 , 6 DO JL = 1 , KDLON ZRJ(JL,JA,JK) = 0. ZRK(JL,JA,JK) = 0. END DO END DO END DO c Computing TOTAL single scattering parameters by adding c properties of all the NAERKIND kind of aerosols DO JK = 1 , nlaylte DO JL = 1 , KDLON ZCGAZ(JL,JK) = 0. ZPIZAZ(JL,JK) = 0. ZTAUAZ(JL,JK) = 0. END DO DO 106 JAE=1,naerkind DO 105 JL = 1 , KDLON c Mean Extinction optical depth in the spectral band c ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ZTAUAZ(JL,JK)=ZTAUAZ(JL,JK) S +aerosol(JL,JK,JAE)*QVISsQREF3d(JL,JK,KNU,JAE) c Single scattering albedo c ~~~~~~~~~~~~~~~~~~~~~~~~ ZPIZAZ(JL,JK)=ZPIZAZ(JL,JK)+aerosol(JL,JK,JAE)* S QVISsQREF3d(JL,JK,KNU,JAE)* & omegaVIS3d(JL,JK,KNU,JAE) c Assymetry factor c ~~~~~~~~~~~~~~~~ ZCGAZ(JL,JK) = ZCGAZ(JL,JK) +aerosol(JL,JK,JAE)* S QVISsQREF3d(JL,JK,KNU,JAE)* & omegaVIS3d(JL,JK,KNU,JAE)*gVIS3d(JL,JK,KNU,JAE) 105 CONTINUE 106 CONTINUE END DO C DO JK = 1 , nlaylte DO JL = 1 , KDLON ZCGAZ(JL,JK) = CVMGT( 0., ZCGAZ(JL,JK) / ZPIZAZ(JL,JK), S (ZPIZAZ(JL,JK).EQ.0) ) ZPIZAZ(JL,JK) = CVMGT( 1., ZPIZAZ(JL,JK) / ZTAUAZ(JL,JK), S (ZTAUAZ(JL,JK).EQ.0) ) END DO END DO C -------------------------------- C INCLUDING RAYLEIGH SCATERRING C ------------------------------- if (rayleigh) then call swrayleigh(kdlon,knu,ppsol,prmu,ZRAYL) c Modifying mean aerosol parameters to account rayleigh scat by gas: DO JK = 1 , nlaylte DO JL = 1 , KDLON c Rayleigh opacity in each layer : ZTRAY = ZRAYL(JL) * PDSIG(JL,JK) c ratio Tau(rayleigh) / Tau (total) ZRATIO = ZTRAY / (ZTRAY + ZTAUAZ(JL,JK)) ZGAR = ZCGAZ(JL,JK) ZFF = ZGAR * ZGAR ZTAUAZ(JL,JK)=ZTRAY+ZTAUAZ(JL,JK)*(1.-ZPIZAZ(JL,JK)*ZFF) ZCGAZ(JL,JK) = ZGAR * (1. - ZRATIO) / (1. + ZGAR) ZPIZAZ(JL,JK) =ZRATIO+(1.-ZRATIO)*ZPIZAZ(JL,JK)*(1.-ZFF) S / (1. -ZPIZAZ(JL,JK) * ZFF) END DO END DO end if C ---------------------------------------------- C TOTAL EFFECTIVE CLOUDINESS ABOVE A GIVEN LEVEL C ---------------------------------------------- C 200 CONTINUE DO JL = 1 , KDLON ZR23(JL) = 0. ZC1I(JL,nlaylte+1) = 0. END DO DO JK = 1 , nlaylte JKL = nlaylte+1 - JK JKLP1 = JKL + 1 DO JL = 1 , KDLON ZFACOA = 1.-ZPIZAZ(JL,JKL)*ZCGAZ(JL,JKL)*ZCGAZ(JL,JKL) ZCORAE = ZFACOA * ZTAUAZ(JL,JKL) * PSEC(JL) ZR21(JL) = EXP(-ZCORAE ) ZSS1(JL) = 1.0-ZR21(JL) ZC1I(JL,JKL) = 1.0-(1.0-ZSS1(JL))*(1.0-ZC1I(JL,JKLP1)) END DO END DO C ----------------------------------------------- C REFLECTIVITY/TRANSMISSIVITY FOR PURE SCATTERING C ----------------------------------------------- C DO JL = 1 , KDLON ZRAY1(JL,nlaylte+1) = 0. ZRAY2(JL,nlaylte+1) = 0. ZREFZ(JL,2,1) = albedo(JL,KNU) ZREFZ(JL,1,1) = albedo(JL,KNU) ZTRA1(JL,nlaylte+1) = 1. ZTRA2(JL,nlaylte+1) = 1. END DO DO JK = 2 , nlaylte+1 JKM1 = JK-1 DO 342 JL = 1 , KDLON ZRNEB(JL)= 1.e-5 ! used to be "cloudiness" (PCLDSW in Morcrette) ZRE1(JL)=0. ZTR1(JL)=0. ZRE2(JL)=0. ZTR2(JL)=0. C EQUIVALENT ZENITH ANGLE c ~~~~~~~~~~~~~~~~~~~~~~~ ZMUE = (1.-ZC1I(JL,JK)) * PSEC(JL) S + ZC1I(JL,JK) * 1.66 ZRMUE(JL,JK) = 1./ZMUE C ------------------------------------------------------------------ C REFLECT./TRANSMISSIVITY DUE TO AEROSOLS (and rayleigh ?) C ------------------------------------------------------------------ ZGAP = ZCGAZ(JL,JKM1) ZBMU0 = 0.5 - 0.75 * ZGAP / ZMUE ZWW =ZPIZAZ(JL,JKM1) ZTO = ZTAUAZ(JL,JKM1) ZDEN = 1. + (1. - ZWW + ZBMU0 * ZWW) * ZTO * ZMUE S + (1-ZWW) * (1. - ZWW +2.*ZBMU0*ZWW)*ZTO*ZTO*ZMUE*ZMUE ZRAY1(JL,JKM1) = ZBMU0 * ZWW * ZTO * ZMUE / ZDEN ZTRA1(JL,JKM1) = 1. / ZDEN C ZMU1 = 0.5 ZBMU1 = 0.5 - 0.75 * ZGAP * ZMU1 ZDEN1= 1. + (1. - ZWW + ZBMU1 * ZWW) * ZTO / ZMU1 S + (1-ZWW) * (1. - ZWW +2.*ZBMU1*ZWW)*ZTO*ZTO/ZMU1/ZMU1 ZRAY2(JL,JKM1) = ZBMU1 * ZWW * ZTO / ZMU1 / ZDEN1 ZTRA2(JL,JKM1) = 1. / ZDEN1 ZGG(JL) = ZCGAZ(JL,JKM1) ZW(JL) =ZPIZAZ(JL,JKM1) ZREF(JL) = ZREFZ(JL,1,JKM1) ZRMUZ(JL) = ZRMUE(JL,JK) ZTO1(JL) = ZTAUAZ(JL,JKM1)/ZPIZAZ(JL,JKM1) 342 CONTINUE C CALL DEDD ( KDLON S , ZGG,ZREF,ZRMUZ,ZTO1,ZW S , ZRE1,ZRE2,ZTR1,ZTR2 ) C DO JL = 1 , KDLON C ZREFZ(JL,1,JK) = (1.-ZRNEB(JL)) * (ZRAY1(JL,JKM1) S + ZREFZ(JL,1,JKM1) * ZTRA1(JL,JKM1) S * ZTRA2(JL,JKM1) S / (1.-ZRAY2(JL,JKM1)*ZREFZ(JL,1,JKM1))) S + ZRNEB(JL) * ZRE2(JL) C ZTR(JL,1,JKM1) = ZRNEB(JL) * ZTR2(JL) + (ZTRA1(JL,JKM1) S / (1.-ZRAY2(JL,JKM1)*ZREFZ(JL,1,JKM1))) S * (1.-ZRNEB(JL)) C ZREFZ(JL,2,JK) = (1.-ZRNEB(JL)) * (ZRAY1(JL,JKM1) S + ZREFZ(JL,2,JKM1) * ZTRA1(JL,JKM1) S * ZTRA2(JL,JKM1) ) S + ZRNEB(JL) * ZRE1(JL) C ZTR(JL,2,JKM1) = ZRNEB(JL) * ZTR1(JL) S + ZTRA1(JL,JKM1) * (1.-ZRNEB(JL)) C END DO END DO C C C ------------------------------------------------------------------ C C * 3.5 REFLECT./TRANSMISSIVITY BETWEEN SURFACE AND LEVEL C ------------------------------------------------- C 350 CONTINUE C IF (KNU.EQ.1) THEN JAJ = 2 DO 351 JL = 1 , KDLON ZRJ(JL,JAJ,nlaylte+1) = 1. ZRK(JL,JAJ,nlaylte+1) = ZREFZ(JL, 1,nlaylte+1) 351 CONTINUE C DO 353 JK = 1 , nlaylte JKL = nlaylte+1 - JK JKLP1 = JKL + 1 DO 352 JL = 1 , KDLON ZRE11= ZRJ(JL,JAJ,JKLP1) * ZTR(JL, 1,JKL) ZRJ(JL,JAJ,JKL) = ZRE11 ZRK(JL,JAJ,JKL) = ZRE11 * ZREFZ(JL, 1,JKL) 352 CONTINUE 353 CONTINUE 354 CONTINUE C ELSE C DO 358 JAJ = 1 , 2 DO 355 JL = 1 , KDLON ZRJ(JL,JAJ,nlaylte+1) = 1. ZRK(JL,JAJ,nlaylte+1) = ZREFZ(JL,JAJ,nlaylte+1) 355 CONTINUE C DO 357 JK = 1 , nlaylte JKL = nlaylte+1 - JK JKLP1 = JKL + 1 DO 356 JL = 1 , KDLON ZRE11= ZRJ(JL,JAJ,JKLP1) * ZTR(JL,JAJ,JKL) ZRJ(JL,JAJ,JKL) = ZRE11 ZRK(JL,JAJ,JKL) = ZRE11 * ZREFZ(JL,JAJ,JKL) 356 CONTINUE 357 CONTINUE 358 CONTINUE END IF C C C C ------------------------------------------------------------------ C --------------- C DOWNWARD FLUXES C --------------- C JAJ = 2 do JK = 1 , nlaylte+1 JKL = nlaylte+1 - JK + 1 DO JL = 1 , KDLON PFD(JL,JKL) = ZRJ(JL,JAJ,JKL) * sunfr(KNU) end do end do C C ------------- C UPWARD FLUXES C ------------- DO JK = 1 , nlaylte+1 DO JL = 1 , KDLON c ZRK = upward flux / incident top flux PFU(JL,JK) = ZRK(JL,JAJ,JK) * sunfr(KNU) END DO END DO C RETURN END CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC SUBROUTINE DEDD (KDLON,PGG,PREF,PRMUZ,PTO1,PW S , PRE1,PRE2,PTR1,PTR2 ) implicit none C #include "dimensions.h" #include "dimphys.h" #include "dimradmars.h" C C**** *DEDD* - DELTA-EDDINGTON IN A CLOUDY LAYER C C PURPOSE. C -------- C COMPUTES THE REFLECTIVITY AND TRANSMISSIVITY OF A CLOUDY C LAYER USING THE DELTA-EDDINGTON'S APPROXIMATION. C C** INTERFACE. C ---------- C *DEDD* IS CALLED BY *SW*. C C SUBROUTINE DEDD (KDLON,PGG,PREF,PRMUZ,PTO1,PW C S , PRE1,PRE2,PTR1,PTR2 ) C C EXPLICIT ARGUMENTS : C -------------------- C PGG : (NDLON) ; ASSYMETRY FACTOR C PREF : (NDLON) ; REFLECTIVITY OF THE UNDERLYING LAYER C PRMUZ : (NDLON) ; COSINE OF SOLAR ZENITH ANGLE C PTO1 : (NDLON) ; OPTICAL THICKNESS C PW : (NDLON) ; SINGLE SCATTERING ALBEDO C ==== OUTPUTS === C PRE1 : (NDLON) ; LAYER REFLECTIVITY ASSUMING NO C ; REFLECTION FROM UNDERLYING LAYER C PTR1 : (NDLON) ; LAYER TRANSMISSIVITY ASSUMING NO C ; REFLECTION FROM UNDERLYING LAYER C PRE2 : (NDLON) ; LAYER REFLECTIVITY ASSUMING C ; REFLECTION FROM UNDERLYING LAYER C PTR2 : (NDLON) ; LAYER TRANSMISSIVITY ASSUMING C ; REFLECTION FROM UNDERLYING LAYER C C IMPLICIT ARGUMENTS : NONE C -------------------- C C METHOD. C ------- C C STANDARD DELTA-EDDINGTON LAYER CALCULATIONS. C C EXTERNALS. C ---------- C C NONE C C REFERENCE. C ---------- C C SEE RADIATION'S PART OF THE MODEL'S DOCUMENTATION AND C ECMWF RESEARCH DEPARTMENT DOCUMENTATION OF THE "IN CORE MODEL" C C AUTHOR. C ------- C JEAN-JACQUES MORCRETTE *ECMWF* C C MODIFICATIONS. C -------------- C ORIGINAL : 88-12-15 C ------------------------------------------------------------------ C C* 0.1 ARGUMENTS C --------- INTEGER KDLON C REAL PGG(NDLO2),PREF(NDLO2),PRMUZ(NDLO2),PTO1(NDLO2),PW(NDLO2) REAL PRE1(NDLO2),PRE2(NDLO2),PTR1(NDLO2),PTR2(NDLO2) c local integer jl real*8 ZFF,ZGP,ZTOP,ZWCP,ZDT,ZX1,ZWM,ZRM2,ZRK,ZX2,ZRP,ZALPHA real*8 ZBETA,ZEXMU0,ZEXKP,ZEXKM,ZXP2P,ZXM2P,ZAP2B,ZAM2B real*8 ZA11,ZA12,ZA13,ZA22,ZA21,ZA23,ZDENA,ZC1A,ZC2A real*8 ZRI0A,ZRI1A,ZRI0B,ZRI1B real*8 ZB21,ZB22,ZB23,ZDENB,ZC1B,ZC2B real*8 ZRI0C,ZRI1C,ZRI0D,ZRI1D C C ------------------------------------------------------------------ C C* 1. DELTA-EDDINGTON CALCULATIONS C 100 CONTINUE C DO 131 JL = 1 , KDLON C C* 1.1 SET UP THE DELTA-MODIFIED PARAMETERS C 110 CONTINUE C ZFF = PGG(JL)*PGG(JL) ZGP = PGG(JL)/(1.+PGG(JL)) ZTOP = (1.- PW(JL) * ZFF) * PTO1(JL) ZWCP = (1-ZFF)* PW(JL) /(1.- PW(JL) * ZFF) ZDT = 2./3. ZX1 = 1.-ZWCP*ZGP ZWM = 1.-ZWCP ZRM2 = PRMUZ(JL) * PRMUZ(JL) ZRK = SQRT(3.*ZWM*ZX1) ZX2 = 4.*(1.-ZRK*ZRK*ZRM2) ZRP = SQRT(3.*ZWM/ZX1) ZALPHA = 3.*ZWCP*ZRM2*(1.+ZGP*ZWM)/ZX2 ZBETA = 3.*ZWCP* PRMUZ(JL) *(1.+3.*ZGP*ZRM2*ZWM)/ZX2 ZEXMU0 = EXP(-ZTOP/ PRMUZ(JL) ) ZEXKP = EXP(ZRK*ZTOP) ZEXKM = 1./ZEXKP ZXP2P = 1.+ZDT*ZRP ZXM2P = 1.-ZDT*ZRP ZAP2B = ZALPHA+ZDT*ZBETA ZAM2B = ZALPHA-ZDT*ZBETA C C* 1.2 WITHOUT REFLECTION FROM THE UNDERLYING LAYER C 120 CONTINUE C ZA11 = ZXP2P ZA12 = ZXM2P ZA13 = ZAP2B ZA22 = ZXP2P*ZEXKP ZA21 = ZXM2P*ZEXKM ZA23 = ZAM2B*ZEXMU0 ZDENA = ZA11 * ZA22 - ZA21 * ZA12 ZC1A = (ZA22*ZA13-ZA12*ZA23)/ZDENA ZC2A = (ZA11*ZA23-ZA21*ZA13)/ZDENA ZRI0A = ZC1A+ZC2A-ZALPHA ZRI1A = ZRP*(ZC1A-ZC2A)-ZBETA PRE1(JL) = (ZRI0A-ZDT*ZRI1A)/ PRMUZ(JL) ZRI0B = ZC1A*ZEXKM+ZC2A*ZEXKP-ZALPHA*ZEXMU0 ZRI1B = ZRP*(ZC1A*ZEXKM-ZC2A*ZEXKP)-ZBETA*ZEXMU0 PTR1(JL) = ZEXMU0+(ZRI0B+ZDT*ZRI1B)/ PRMUZ(JL) C C* 1.3 WITH REFLECTION FROM THE UNDERLYING LAYER C 130 CONTINUE C ZB21 = ZA21- PREF(JL) *ZXP2P*ZEXKM ZB22 = ZA22- PREF(JL) *ZXM2P*ZEXKP ZB23 = ZA23- PREF(JL) *ZEXMU0*(ZAP2B - PRMUZ(JL) ) ZDENB = ZA11 * ZB22 - ZB21 * ZA12 ZC1B = (ZB22*ZA13-ZA12*ZB23)/ZDENB ZC2B = (ZA11*ZB23-ZB21*ZA13)/ZDENB ZRI0C = ZC1B+ZC2B-ZALPHA ZRI1C = ZRP*(ZC1B-ZC2B)-ZBETA PRE2(JL) = (ZRI0C-ZDT*ZRI1C) / PRMUZ(JL) ZRI0D = ZC1B*ZEXKM + ZC2B*ZEXKP - ZALPHA*ZEXMU0 ZRI1D = ZRP * (ZC1B*ZEXKM - ZC2B*ZEXKP) - ZBETA*ZEXMU0 PTR2(JL) = ZEXMU0 + (ZRI0D + ZDT*ZRI1D) / PRMUZ(JL) C 131 CONTINUE RETURN END