[253] | 1 | SUBROUTINE aeroptproperties(ngrid,nlayer,reffrad,nueffrad, & |
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| 2 | QVISsQREF3d,omegaVIS3d,gVIS3d, & |
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| 3 | QIRsQREF3d,omegaIR3d,gIR3d, & |
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| 4 | QREFvis3d,QREFir3d)!, & |
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| 5 | ! omegaREFvis3d,omegaREFir3d) |
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[135] | 6 | |
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| 7 | use radinc_h, only: L_NSPECTI,L_NSPECTV,naerkind,nsizemax |
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| 8 | use radcommon_h, only: QVISsQREF,omegavis,gvis,QIRsQREF,omegair,gir |
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[253] | 9 | use radcommon_h, only: qrefvis,qrefir,omegarefvis,omegarefir |
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| 10 | use radcommon_h, only: radiustab,nsize |
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[135] | 11 | |
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| 12 | implicit none |
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| 13 | |
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[253] | 14 | ! ============================================================= |
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| 15 | ! Aerosol Optical Properties |
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[135] | 16 | ! |
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[253] | 17 | ! Description: |
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| 18 | ! Compute the scattering parameters in each grid |
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| 19 | ! box, depending on aerosol grain sizes. Log-normal size |
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| 20 | ! distribution and Gauss-Legendre integration are used. |
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| 21 | |
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| 22 | ! Parameters: |
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| 23 | ! Don't forget to set the value of varyingnueff below; If |
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| 24 | ! the effective variance of the distribution for the given |
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| 25 | ! aerosol is considered homogeneous in the atmosphere, please |
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| 26 | ! set varyingnueff(iaer) to .false. Resulting computational |
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| 27 | ! time will be much better. |
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| 28 | |
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| 29 | ! Authors: J.-B. Madeleine, F. Forget, F. Montmessin |
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[135] | 30 | ! Slightly modified and converted to F90 by R. Wordsworth (2009) |
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| 31 | ! Varying nueff section removed by R. Wordsworth for simplicity |
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[253] | 32 | ! ============================================================== |
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[135] | 33 | |
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| 34 | #include "dimensions.h" |
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| 35 | #include "dimphys.h" |
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| 36 | #include "callkeys.h" |
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| 37 | |
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| 38 | ! Local variables |
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| 39 | ! --------------- |
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| 40 | |
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[253] | 41 | |
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| 42 | |
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[135] | 43 | ! ============================================================= |
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| 44 | LOGICAL, PARAMETER :: varyingnueff(naerkind) = .false. |
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| 45 | ! ============================================================= |
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| 46 | |
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[253] | 47 | ! Min. and max radius of the interpolation grid (in METERS) |
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| 48 | REAL, PARAMETER :: refftabmin = 2e-8 !2e-8 |
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[135] | 49 | ! REAL, PARAMETER :: refftabmax = 35e-6 |
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[253] | 50 | REAL, PARAMETER :: refftabmax = 1e-3 |
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[135] | 51 | ! Log of the min and max variance of the interpolation grid |
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| 52 | REAL, PARAMETER :: nuefftabmin = -4.6 |
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| 53 | REAL, PARAMETER :: nuefftabmax = 0. |
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[253] | 54 | ! Number of effective radius of the interpolation grid |
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[135] | 55 | INTEGER, PARAMETER :: refftabsize = 200 |
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| 56 | ! Number of effective variances of the interpolation grid |
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| 57 | ! INTEGER, PARAMETER :: nuefftabsize = 100 |
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[253] | 58 | INTEGER, PARAMETER :: nuefftabsize = 1 |
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[135] | 59 | ! Interpolation grid indices (reff,nueff) |
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| 60 | INTEGER :: grid_i,grid_j |
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| 61 | ! Intermediate variable |
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| 62 | REAL :: var_tmp,var3d_tmp(ngridmx,nlayermx) |
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| 63 | ! Bilinear interpolation factors |
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| 64 | REAL :: kx,ky,k1,k2,k3,k4 |
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[253] | 65 | ! Size distribution parameters |
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| 66 | REAL :: sizedistk1,sizedistk2 |
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| 67 | ! Pi! |
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| 68 | REAL,SAVE :: pi |
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| 69 | ! Variables used by the Gauss-Legendre integration: |
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| 70 | INTEGER radius_id,gausind |
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| 71 | REAL kint |
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| 72 | REAL drad |
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| 73 | INTEGER, PARAMETER :: ngau = 10 |
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| 74 | REAL weightgaus(ngau),radgaus(ngau) |
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| 75 | SAVE weightgaus,radgaus |
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| 76 | ! DATA weightgaus/.2955242247,.2692667193,.2190863625,.1494513491,.0666713443/ |
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| 77 | ! DATA radgaus/.1488743389,.4333953941,.6794095682,.8650633666,.9739065285/ |
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| 78 | DATA radgaus/0.07652652113350,0.22778585114165, & |
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| 79 | 0.37370608871528,0.51086700195146, & |
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| 80 | 0.63605368072468,0.74633190646476, & |
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| 81 | 0.83911697181213,0.91223442826796, & |
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| 82 | 0.96397192726078,0.99312859919241/ |
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| 83 | |
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| 84 | DATA weightgaus/0.15275338723120,0.14917298659407, & |
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| 85 | 0.14209610937519,0.13168863843930, & |
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| 86 | 0.11819453196154,0.10193011980823, & |
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| 87 | 0.08327674160932,0.06267204829828, & |
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| 88 | 0.04060142982019,0.01761400714091/ |
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[135] | 89 | ! Indices |
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| 90 | INTEGER :: i,j,k,l,m,iaer,idomain |
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| 91 | INTEGER :: ig,lg,chg |
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| 92 | |
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| 93 | ! Local saved variables |
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| 94 | ! --------------------- |
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| 95 | |
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| 96 | ! Radius axis of the interpolation grid |
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[253] | 97 | REAL,SAVE :: refftab(refftabsize) |
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[135] | 98 | ! Variance axis of the interpolation grid |
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[253] | 99 | REAL,SAVE :: nuefftab(nuefftabsize) |
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[135] | 100 | ! Volume ratio of the grid |
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[253] | 101 | REAL,SAVE :: logvratgrid,vratgrid |
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[135] | 102 | ! Grid used to remember which calculation is done |
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[253] | 103 | LOGICAL,SAVE :: checkgrid(refftabsize,nuefftabsize,naerkind,2) = .false. |
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[135] | 104 | ! Optical properties of the grid (VISIBLE) |
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[253] | 105 | REAL,SAVE :: qsqrefVISgrid(refftabsize,nuefftabsize,L_NSPECTV,naerkind) |
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| 106 | REAL,SAVE :: qextVISgrid(refftabsize,nuefftabsize,L_NSPECTV,naerkind) |
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| 107 | REAL,SAVE :: qscatVISgrid(refftabsize,nuefftabsize,L_NSPECTV,naerkind) |
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[135] | 108 | REAL,SAVE :: omegVISgrid(refftabsize,nuefftabsize,L_NSPECTV,naerkind) |
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| 109 | REAL,SAVE :: gVISgrid(refftabsize,nuefftabsize,L_NSPECTV,naerkind) |
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| 110 | ! Optical properties of the grid (INFRARED) |
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[253] | 111 | REAL,SAVE :: qsqrefIRgrid(refftabsize,nuefftabsize,L_NSPECTI,naerkind) |
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| 112 | REAL,SAVE :: qextIRgrid(refftabsize,nuefftabsize,L_NSPECTI,naerkind) |
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| 113 | REAL,SAVE :: qscatIRgrid(refftabsize,nuefftabsize,L_NSPECTI,naerkind) |
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[135] | 114 | REAL,SAVE :: omegIRgrid(refftabsize,nuefftabsize,L_NSPECTI,naerkind) |
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| 115 | REAL,SAVE :: gIRgrid(refftabsize,nuefftabsize,L_NSPECTI,naerkind) |
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| 116 | ! Optical properties of the grid (REFERENCE WAVELENGTHS) |
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[253] | 117 | REAL,SAVE :: qrefVISgrid(refftabsize,nuefftabsize,naerkind) |
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| 118 | REAL,SAVE :: qscatrefVISgrid(refftabsize,nuefftabsize,naerkind) |
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| 119 | REAL,SAVE :: qrefIRgrid(refftabsize,nuefftabsize,naerkind) |
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| 120 | REAL,SAVE :: qscatrefIRgrid(refftabsize,nuefftabsize,naerkind) |
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| 121 | REAL,SAVE :: omegrefVISgrid(refftabsize,nuefftabsize,naerkind) |
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| 122 | REAL,SAVE :: omegrefIRgrid(refftabsize,nuefftabsize,naerkind) |
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[135] | 123 | ! Firstcall |
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| 124 | LOGICAL,SAVE :: firstcall = .true. |
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[253] | 125 | ! Variables used by the Gauss-Legendre integration: |
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| 126 | REAL,SAVE :: normd(refftabsize,nuefftabsize,naerkind,2) |
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| 127 | REAL,SAVE :: dista(refftabsize,nuefftabsize,naerkind,2,ngau) |
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| 128 | REAL,SAVE :: distb(refftabsize,nuefftabsize,naerkind,2,ngau) |
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[135] | 129 | |
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[253] | 130 | REAL,SAVE :: radGAUSa(ngau,naerkind,2) |
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| 131 | REAL,SAVE :: radGAUSb(ngau,naerkind,2) |
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| 132 | |
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| 133 | REAL,SAVE :: qsqrefVISa(L_NSPECTV,ngau,naerkind) |
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| 134 | REAL,SAVE :: qrefVISa(ngau,naerkind) |
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| 135 | REAL,SAVE :: qsqrefVISb(L_NSPECTV,ngau,naerkind) |
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| 136 | REAL,SAVE :: qrefVISb(ngau,naerkind) |
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| 137 | REAL,SAVE :: omegVISa(L_NSPECTV,ngau,naerkind) |
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| 138 | REAL,SAVE :: omegrefVISa(ngau,naerkind) |
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| 139 | REAL,SAVE :: omegVISb(L_NSPECTV,ngau,naerkind) |
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| 140 | REAL,SAVE :: omegrefVISb(ngau,naerkind) |
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| 141 | REAL,SAVE :: gVISa(L_NSPECTV,ngau,naerkind) |
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| 142 | REAL,SAVE :: gVISb(L_NSPECTV,ngau,naerkind) |
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| 143 | |
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| 144 | REAL,SAVE :: qsqrefIRa(L_NSPECTI,ngau,naerkind) |
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| 145 | REAL,SAVE :: qrefIRa(ngau,naerkind) |
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| 146 | REAL,SAVE :: qsqrefIRb(L_NSPECTI,ngau,naerkind) |
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| 147 | REAL,SAVE :: qrefIRb(ngau,naerkind) |
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| 148 | REAL,SAVE :: omegIRa(L_NSPECTI,ngau,naerkind) |
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| 149 | REAL,SAVE :: omegrefIRa(ngau,naerkind) |
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| 150 | REAL,SAVE :: omegIRb(L_NSPECTI,ngau,naerkind) |
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| 151 | REAL,SAVE :: omegrefIRb(ngau,naerkind) |
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| 152 | REAL,SAVE :: gIRa(L_NSPECTI,ngau,naerkind) |
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| 153 | REAL,SAVE :: gIRb(L_NSPECTI,ngau,naerkind) |
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| 154 | |
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| 155 | REAL :: radiusm |
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| 156 | REAL :: radiusr |
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| 157 | |
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[135] | 158 | ! Inputs |
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| 159 | ! ------ |
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| 160 | |
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| 161 | INTEGER :: ngrid,nlayer |
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| 162 | ! Aerosol effective radius used for radiative transfer (meter) |
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| 163 | REAL :: reffrad(ngridmx,nlayermx,naerkind) |
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| 164 | ! Aerosol effective variance used for radiative transfer (n.u.) |
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| 165 | REAL :: nueffrad(ngridmx,nlayermx,naerkind) |
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| 166 | |
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| 167 | ! Outputs |
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| 168 | ! ------- |
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| 169 | |
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| 170 | REAL :: QVISsQREF3d(ngridmx,nlayermx,L_NSPECTV,naerkind) |
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| 171 | REAL :: omegaVIS3d(ngridmx,nlayermx,L_NSPECTV,naerkind) |
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| 172 | REAL :: gVIS3d(ngridmx,nlayermx,L_NSPECTV,naerkind) |
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| 173 | |
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| 174 | REAL :: QIRsQREF3d(ngridmx,nlayermx,L_NSPECTI,naerkind) |
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| 175 | REAL :: omegaIR3d(ngridmx,nlayermx,L_NSPECTI,naerkind) |
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| 176 | REAL :: gIR3d(ngridmx,nlayermx,L_NSPECTI,naerkind) |
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| 177 | |
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| 178 | REAL :: QREFvis3d(ngridmx,nlayermx,naerkind) |
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| 179 | REAL :: QREFir3d(ngridmx,nlayermx,naerkind) |
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| 180 | |
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[253] | 181 | REAL :: omegaREFvis3d(ngridmx,nlayermx,naerkind) |
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| 182 | REAL :: omegaREFir3d(ngridmx,nlayermx,naerkind) |
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| 183 | |
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[135] | 184 | DO iaer = 1, naerkind ! Loop on aerosol kind |
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| 185 | IF ( (nsize(iaer,1).EQ.1).AND.(nsize(iaer,2).EQ.1) ) THEN |
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| 186 | !================================================================== |
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| 187 | ! If there is one single particle size, optical |
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| 188 | ! properties of the considered aerosol are homogeneous |
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| 189 | DO lg = 1, nlayer |
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| 190 | DO ig = 1, ngrid |
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| 191 | DO chg = 1, L_NSPECTV |
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| 192 | QVISsQREF3d(ig,lg,chg,iaer)=QVISsQREF(chg,iaer,1) |
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| 193 | omegaVIS3d(ig,lg,chg,iaer)=omegaVIS(chg,iaer,1) |
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| 194 | gVIS3d(ig,lg,chg,iaer)=gVIS(chg,iaer,1) |
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| 195 | ENDDO |
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| 196 | DO chg = 1, L_NSPECTI |
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| 197 | QIRsQREF3d(ig,lg,chg,iaer)=QIRsQREF(chg,iaer,1) |
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| 198 | omegaIR3d(ig,lg,chg,iaer)=omegaIR(chg,iaer,1) |
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| 199 | gIR3d(ig,lg,chg,iaer)=gIR(chg,iaer,1) |
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| 200 | ENDDO |
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| 201 | QREFvis3d(ig,lg,iaer)=QREFvis(iaer,1) |
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| 202 | QREFir3d(ig,lg,iaer)=QREFir(iaer,1) |
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[253] | 203 | omegaREFvis3d(ig,lg,iaer)=omegaREFvis(iaer,1) |
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| 204 | omegaREFir3d(ig,lg,iaer)=omegaREFir(iaer,1) |
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[135] | 205 | ENDDO |
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| 206 | ENDDO |
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| 207 | |
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[253] | 208 | |
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[135] | 209 | if (firstcall) then |
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| 210 | print*,'Optical properties of the aerosol are homogenous for:' |
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| 211 | print*,'iaer = ',iaer |
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| 212 | endif |
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| 213 | |
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| 214 | ELSE ! Varying effective radius and variance |
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| 215 | DO idomain = 1, 2 ! Loop on visible or infrared channel |
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| 216 | !================================================================== |
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| 217 | ! 1. Creating the effective radius and variance grid |
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| 218 | ! -------------------------------------------------- |
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| 219 | IF (firstcall) THEN |
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[253] | 220 | |
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| 221 | ! 1.1 Pi! |
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| 222 | pi = 2. * asin(1.e0) |
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| 223 | |
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| 224 | ! 1.2 Effective radius |
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[135] | 225 | refftab(1) = refftabmin |
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| 226 | refftab(refftabsize) = refftabmax |
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| 227 | |
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[253] | 228 | logvratgrid = log(refftabmax/refftabmin) / float(refftabsize-1)*3. |
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[135] | 229 | vratgrid = exp(logvratgrid) |
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| 230 | |
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| 231 | do i = 2, refftabsize-1 |
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| 232 | refftab(i) = refftab(i-1)*vratgrid**(1./3.) |
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| 233 | enddo |
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| 234 | |
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[253] | 235 | ! 1.3 Effective variance |
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| 236 | if(nuefftabsize.eq.1)then ! addded by RDW |
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| 237 | print*,'Warning: no variance range in aeroptproperties' |
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| 238 | nuefftab(1)=0.2 |
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| 239 | else |
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| 240 | do i = 0, nuefftabsize-1 |
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| 241 | nuefftab(i+1) = exp( nuefftabmin + i*(nuefftabmax-nuefftabmin)/(nuefftabsize-1) ) |
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| 242 | enddo |
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| 243 | endif |
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| 244 | |
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[135] | 245 | firstcall = .false. |
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| 246 | ENDIF |
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| 247 | |
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[253] | 248 | ! 1.4 Radius middle point and range for Gauss integration |
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| 249 | radiusm=0.5*(radiustab(iaer,idomain,nsize(iaer,idomain)) + radiustab(iaer,idomain,1)) |
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| 250 | radiusr=0.5*(radiustab(iaer,idomain,nsize(iaer,idomain)) - radiustab(iaer,idomain,1)) |
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[135] | 251 | |
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[253] | 252 | ! 1.5 Interpolating data at the Gauss quadrature points: |
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| 253 | DO gausind=1,ngau |
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| 254 | drad=radiusr*radgaus(gausind) |
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| 255 | radGAUSa(gausind,iaer,idomain)=radiusm-drad |
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[135] | 256 | |
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[253] | 257 | radius_id=minloc(abs(radiustab(iaer,idomain,:) - (radiusm-drad)),DIM=1) |
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| 258 | IF ((radiustab(iaer,idomain,radius_id) - (radiusm-drad)).GT.0) THEN |
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| 259 | radius_id=radius_id-1 |
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| 260 | ENDIF |
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| 261 | IF (radius_id.GE.nsize(iaer,idomain)) THEN |
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| 262 | radius_id=nsize(iaer,idomain)-1 |
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| 263 | kint = 1. |
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| 264 | ELSEIF (radius_id.LT.1) THEN |
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| 265 | radius_id=1 |
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| 266 | kint = 0. |
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| 267 | ELSE |
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| 268 | kint = ( (radiusm-drad) - & |
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| 269 | radiustab(iaer,idomain,radius_id) ) / & |
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| 270 | ( radiustab(iaer,idomain,radius_id+1) - & |
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| 271 | radiustab(iaer,idomain,radius_id) ) |
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| 272 | ENDIF |
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| 273 | IF (idomain.EQ.1) THEN ! VISIBLE DOMAIN ----------------- |
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| 274 | DO m=1,L_NSPECTV |
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| 275 | qsqrefVISa(m,gausind,iaer)= & |
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| 276 | (1-kint)*QVISsQREF(m,iaer,radius_id) + & |
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| 277 | kint*QVISsQREF(m,iaer,radius_id+1) |
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| 278 | omegVISa(m,gausind,iaer)= & |
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| 279 | (1-kint)*omegaVIS(m,iaer,radius_id) + & |
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| 280 | kint*omegaVIS(m,iaer,radius_id+1) |
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| 281 | gVISa(m,gausind,iaer)= & |
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| 282 | (1-kint)*gVIS(m,iaer,radius_id) + & |
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| 283 | kint*gVIS(m,iaer,radius_id+1) |
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| 284 | ENDDO |
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| 285 | qrefVISa(gausind,iaer)= & |
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| 286 | (1-kint)*QREFvis(iaer,radius_id) + & |
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| 287 | kint*QREFvis(iaer,radius_id+1) |
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| 288 | omegrefVISa(gausind,iaer)= & |
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| 289 | (1-kint)*omegaREFvis(iaer,radius_id) + & |
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| 290 | kint*omegaREFvis(iaer,radius_id+1) |
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| 291 | ELSE ! INFRARED DOMAIN ---------------------------------- |
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| 292 | DO m=1,L_NSPECTI |
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| 293 | qsqrefIRa(m,gausind,iaer)= & |
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| 294 | (1-kint)*QIRsQREF(m,iaer,radius_id) + & |
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| 295 | kint*QIRsQREF(m,iaer,radius_id+1) |
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| 296 | omegIRa(m,gausind,iaer)= & |
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| 297 | (1-kint)*omegaIR(m,iaer,radius_id) + & |
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| 298 | kint*omegaIR(m,iaer,radius_id+1) |
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| 299 | gIRa(m,gausind,iaer)= & |
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| 300 | (1-kint)*gIR(m,iaer,radius_id) + & |
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| 301 | kint*gIR(m,iaer,radius_id+1) |
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| 302 | ENDDO |
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| 303 | qrefIRa(gausind,iaer)= & |
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| 304 | (1-kint)*QREFir(iaer,radius_id) + & |
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| 305 | kint*QREFir(iaer,radius_id+1) |
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| 306 | omegrefIRa(gausind,iaer)= & |
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| 307 | (1-kint)*omegaREFir(iaer,radius_id) + & |
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| 308 | kint*omegaREFir(iaer,radius_id+1) |
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| 309 | ENDIF |
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| 310 | ENDDO |
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| 311 | |
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| 312 | DO gausind=1,ngau |
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| 313 | drad=radiusr*radgaus(gausind) |
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| 314 | radGAUSb(gausind,iaer,idomain)=radiusm+drad |
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| 315 | |
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| 316 | radius_id=minloc(abs(radiustab(iaer,idomain,:) - & |
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| 317 | (radiusm+drad)),DIM=1) |
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| 318 | IF ((radiustab(iaer,idomain,radius_id) - & |
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| 319 | (radiusm+drad)).GT.0) THEN |
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| 320 | radius_id=radius_id-1 |
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| 321 | ENDIF |
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| 322 | IF (radius_id.GE.nsize(iaer,idomain)) THEN |
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| 323 | radius_id=nsize(iaer,idomain)-1 |
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| 324 | kint = 1. |
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| 325 | ELSEIF (radius_id.LT.1) THEN |
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| 326 | radius_id=1 |
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| 327 | kint = 0. |
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| 328 | ELSE |
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| 329 | kint = ( (radiusm+drad) - & |
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| 330 | radiustab(iaer,idomain,radius_id) ) / & |
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| 331 | ( radiustab(iaer,idomain,radius_id+1) - & |
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| 332 | radiustab(iaer,idomain,radius_id) ) |
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| 333 | ENDIF |
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| 334 | IF (idomain.EQ.1) THEN ! VISIBLE DOMAIN ----------------- |
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| 335 | DO m=1,L_NSPECTV |
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| 336 | qsqrefVISb(m,gausind,iaer)= & |
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| 337 | (1-kint)*QVISsQREF(m,iaer,radius_id) + & |
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| 338 | kint*QVISsQREF(m,iaer,radius_id+1) |
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| 339 | omegVISb(m,gausind,iaer)= & |
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| 340 | (1-kint)*omegaVIS(m,iaer,radius_id) + & |
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| 341 | kint*omegaVIS(m,iaer,radius_id+1) |
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| 342 | gVISb(m,gausind,iaer)= & |
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| 343 | (1-kint)*gVIS(m,iaer,radius_id) + & |
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| 344 | kint*gVIS(m,iaer,radius_id+1) |
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| 345 | ENDDO |
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| 346 | qrefVISb(gausind,iaer)= & |
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| 347 | (1-kint)*QREFvis(iaer,radius_id) + & |
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| 348 | kint*QREFvis(iaer,radius_id+1) |
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| 349 | omegrefVISb(gausind,iaer)= & |
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| 350 | (1-kint)*omegaREFvis(iaer,radius_id) + & |
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| 351 | kint*omegaREFvis(iaer,radius_id+1) |
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| 352 | ELSE ! INFRARED DOMAIN ---------------------------------- |
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| 353 | DO m=1,L_NSPECTI |
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| 354 | qsqrefIRb(m,gausind,iaer)= & |
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| 355 | (1-kint)*QIRsQREF(m,iaer,radius_id) + & |
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| 356 | kint*QIRsQREF(m,iaer,radius_id+1) |
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| 357 | omegIRb(m,gausind,iaer)= & |
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| 358 | (1-kint)*omegaIR(m,iaer,radius_id) + & |
---|
| 359 | kint*omegaIR(m,iaer,radius_id+1) |
---|
| 360 | gIRb(m,gausind,iaer)= & |
---|
| 361 | (1-kint)*gIR(m,iaer,radius_id) + & |
---|
| 362 | kint*gIR(m,iaer,radius_id+1) |
---|
| 363 | ENDDO |
---|
| 364 | qrefIRb(gausind,iaer)= & |
---|
| 365 | (1-kint)*QREFir(iaer,radius_id) + & |
---|
| 366 | kint*QREFir(iaer,radius_id+1) |
---|
| 367 | omegrefIRb(gausind,iaer)= & |
---|
| 368 | (1-kint)*omegaREFir(iaer,radius_id) + & |
---|
| 369 | kint*omegaREFir(iaer,radius_id+1) |
---|
| 370 | ENDIF |
---|
| 371 | ENDDO |
---|
| 372 | |
---|
| 373 | !================================================================== |
---|
| 374 | ! CONSTANT NUEFF FROM HERE |
---|
| 375 | !================================================================== |
---|
| 376 | |
---|
[135] | 377 | ! 2. Compute the scattering parameters using linear |
---|
| 378 | ! interpolation over grain sizes and constant nueff |
---|
| 379 | ! --------------------------------------------------- |
---|
| 380 | |
---|
| 381 | DO lg = 1,nlayer |
---|
| 382 | DO ig = 1,ngrid |
---|
| 383 | ! 2.1 Effective radius index and kx calculation |
---|
| 384 | var_tmp=reffrad(ig,lg,iaer)/refftabmin |
---|
| 385 | var_tmp=log(var_tmp)*3. |
---|
| 386 | var_tmp=var_tmp/logvratgrid+1. |
---|
| 387 | grid_i=floor(var_tmp) |
---|
| 388 | IF (grid_i.GE.refftabsize) THEN |
---|
[253] | 389 | ! WRITE(*,*) 'Warning: particle size in grid box #' |
---|
| 390 | ! WRITE(*,*) ig,' is too large to be used by the ' |
---|
| 391 | ! WRITE(*,*) 'radiative transfer; please extend the ' |
---|
| 392 | ! WRITE(*,*) 'interpolation grid to larger grain sizes.' |
---|
[135] | 393 | grid_i=refftabsize-1 |
---|
| 394 | kx = 1. |
---|
| 395 | ELSEIF (grid_i.LT.1) THEN |
---|
[253] | 396 | ! WRITE(*,*) 'Warning: particle size in grid box #' |
---|
| 397 | ! WRITE(*,*) ig,' is too small to be used by the ' |
---|
| 398 | ! WRITE(*,*) 'radiative transfer; please extend the ' |
---|
| 399 | ! WRITE(*,*) 'interpolation grid to smaller grain sizes.' |
---|
[135] | 400 | grid_i=1 |
---|
| 401 | kx = 0. |
---|
| 402 | ELSE |
---|
[253] | 403 | kx = ( reffrad(ig,lg,iaer)-refftab(grid_i) ) / & |
---|
| 404 | ( refftab(grid_i+1)-refftab(grid_i) ) |
---|
[135] | 405 | ENDIF |
---|
| 406 | ! 2.3 Integration |
---|
| 407 | DO j=grid_i,grid_i+1 |
---|
[253] | 408 | ! 2.3.1 Check if the calculation has been done |
---|
[135] | 409 | IF (.NOT.checkgrid(j,1,iaer,idomain)) THEN |
---|
[253] | 410 | ! 2.3.2 Log-normal dist., r_g and sigma_g are defined |
---|
| 411 | ! in [hansen_1974], "Light scattering in planetary |
---|
| 412 | ! atmospheres", Space Science Reviews 16 527-610. |
---|
| 413 | ! Here, sizedistk1=r_g and sizedistk2=sigma_g^2 |
---|
| 414 | sizedistk2 = log(1.+nueffrad(1,1,iaer)) |
---|
| 415 | sizedistk1 = exp(2.5*sizedistk2) |
---|
| 416 | sizedistk1 = refftab(j) / sizedistk1 |
---|
| 417 | |
---|
| 418 | normd(j,1,iaer,idomain) = 1e-30 |
---|
| 419 | DO gausind=1,ngau |
---|
| 420 | drad=radiusr*radgaus(gausind) |
---|
| 421 | dista(j,1,iaer,idomain,gausind) = LOG((radiusm-drad)/sizedistk1) |
---|
| 422 | dista(j,1,iaer,idomain,gausind) = & |
---|
| 423 | EXP(-dista(j,1,iaer,idomain,gausind) * & |
---|
| 424 | dista(j,1,iaer,idomain,gausind) * & |
---|
| 425 | 0.5e0/sizedistk2)/(radiusm-drad) |
---|
| 426 | dista(j,1,iaer,idomain,gausind) = & |
---|
| 427 | dista(j,1,iaer,idomain,gausind) / & |
---|
| 428 | (sqrt(2e0*pi*sizedistk2)) |
---|
| 429 | |
---|
| 430 | distb(j,1,iaer,idomain,gausind) = LOG((radiusm+drad)/sizedistk1) |
---|
| 431 | distb(j,1,iaer,idomain,gausind) = & |
---|
| 432 | EXP(-distb(j,1,iaer,idomain,gausind) * & |
---|
| 433 | distb(j,1,iaer,idomain,gausind) * & |
---|
| 434 | 0.5e0/sizedistk2)/(radiusm+drad) |
---|
| 435 | distb(j,1,iaer,idomain,gausind) = & |
---|
| 436 | distb(j,1,iaer,idomain,gausind) / & |
---|
| 437 | (sqrt(2e0*pi*sizedistk2)) |
---|
| 438 | |
---|
| 439 | normd(j,1,iaer,idomain)=normd(j,1,iaer,idomain) + & |
---|
| 440 | weightgaus(gausind) * & |
---|
| 441 | ( & |
---|
| 442 | distb(j,1,iaer,idomain,gausind) * pi * & |
---|
| 443 | radGAUSb(gausind,iaer,idomain) * & |
---|
| 444 | radGAUSb(gausind,iaer,idomain) + & |
---|
| 445 | dista(j,1,iaer,idomain,gausind) * pi * & |
---|
| 446 | radGAUSa(gausind,iaer,idomain) * & |
---|
| 447 | radGAUSa(gausind,iaer,idomain) & |
---|
| 448 | ) |
---|
| 449 | ENDDO |
---|
[135] | 450 | IF (idomain.EQ.1) THEN ! VISIBLE DOMAIN ----------- |
---|
| 451 | ! 2.3.3.vis Initialization |
---|
[253] | 452 | qsqrefVISgrid(j,1,:,iaer)=0. |
---|
| 453 | qextVISgrid(j,1,:,iaer)=0. |
---|
| 454 | qscatVISgrid(j,1,:,iaer)=0. |
---|
[135] | 455 | omegVISgrid(j,1,:,iaer)=0. |
---|
| 456 | gVISgrid(j,1,:,iaer)=0. |
---|
[253] | 457 | qrefVISgrid(j,1,iaer)=0. |
---|
| 458 | qscatrefVISgrid(j,1,iaer)=0. |
---|
| 459 | omegrefVISgrid(j,1,iaer)=0. |
---|
| 460 | |
---|
| 461 | DO gausind=1,ngau |
---|
| 462 | DO m=1,L_NSPECTV |
---|
| 463 | ! Convolution: |
---|
| 464 | qextVISgrid(j,1,m,iaer) = & |
---|
| 465 | qextVISgrid(j,1,m,iaer) + & |
---|
| 466 | weightgaus(gausind) * & |
---|
| 467 | ( & |
---|
| 468 | qsqrefVISb(m,gausind,iaer) * & |
---|
| 469 | qrefVISb(gausind,iaer) * & |
---|
| 470 | pi*radGAUSb(gausind,iaer,idomain) * & |
---|
| 471 | radGAUSb(gausind,iaer,idomain) * & |
---|
| 472 | distb(j,1,iaer,idomain,gausind) + & |
---|
| 473 | qsqrefVISa(m,gausind,iaer) * & |
---|
| 474 | qrefVISa(gausind,iaer) * & |
---|
| 475 | pi*radGAUSa(gausind,iaer,idomain) * & |
---|
| 476 | radGAUSa(gausind,iaer,idomain) * & |
---|
| 477 | dista(j,1,iaer,idomain,gausind) & |
---|
| 478 | ) |
---|
| 479 | qscatVISgrid(j,1,m,iaer) = & |
---|
| 480 | qscatVISgrid(j,1,m,iaer) + & |
---|
| 481 | weightgaus(gausind) * & |
---|
| 482 | ( & |
---|
| 483 | omegVISb(m,gausind,iaer) * & |
---|
| 484 | qsqrefVISb(m,gausind,iaer) * & |
---|
| 485 | qrefVISb(gausind,iaer) * & |
---|
| 486 | pi*radGAUSb(gausind,iaer,idomain) * & |
---|
| 487 | radGAUSb(gausind,iaer,idomain) * & |
---|
| 488 | distb(j,1,iaer,idomain,gausind) + & |
---|
| 489 | omegVISa(m,gausind,iaer) * & |
---|
| 490 | qsqrefVISa(m,gausind,iaer) * & |
---|
| 491 | qrefVISa(gausind,iaer) * & |
---|
| 492 | pi*radGAUSa(gausind,iaer,idomain) * & |
---|
| 493 | radGAUSa(gausind,iaer,idomain) * & |
---|
| 494 | dista(j,1,iaer,idomain,gausind) & |
---|
| 495 | ) |
---|
| 496 | gVISgrid(j,1,m,iaer) = & |
---|
| 497 | gVISgrid(j,1,m,iaer) + & |
---|
| 498 | weightgaus(gausind) * & |
---|
| 499 | ( & |
---|
| 500 | omegVISb(m,gausind,iaer) * & |
---|
| 501 | qsqrefVISb(m,gausind,iaer) * & |
---|
| 502 | qrefVISb(gausind,iaer) * & |
---|
| 503 | gVISb(m,gausind,iaer) * & |
---|
| 504 | pi*radGAUSb(gausind,iaer,idomain) * & |
---|
| 505 | radGAUSb(gausind,iaer,idomain) * & |
---|
| 506 | distb(j,1,iaer,idomain,gausind) + & |
---|
| 507 | omegVISa(m,gausind,iaer) * & |
---|
| 508 | qsqrefVISa(m,gausind,iaer) * & |
---|
| 509 | qrefVISa(gausind,iaer) * & |
---|
| 510 | gVISa(m,gausind,iaer) * & |
---|
| 511 | pi*radGAUSa(gausind,iaer,idomain) * & |
---|
| 512 | radGAUSa(gausind,iaer,idomain) * & |
---|
| 513 | dista(j,1,iaer,idomain,gausind) & |
---|
| 514 | ) |
---|
| 515 | ENDDO |
---|
| 516 | qrefVISgrid(j,1,iaer) = & |
---|
| 517 | qrefVISgrid(j,1,iaer) + & |
---|
| 518 | weightgaus(gausind) * & |
---|
| 519 | ( & |
---|
| 520 | qrefVISb(gausind,iaer) * & |
---|
| 521 | pi*radGAUSb(gausind,iaer,idomain) * & |
---|
| 522 | radGAUSb(gausind,iaer,idomain) * & |
---|
| 523 | distb(j,1,iaer,idomain,gausind) + & |
---|
| 524 | qrefVISa(gausind,iaer) * & |
---|
| 525 | pi*radGAUSa(gausind,iaer,idomain) * & |
---|
| 526 | radGAUSa(gausind,iaer,idomain) * & |
---|
| 527 | dista(j,1,iaer,idomain,gausind) & |
---|
| 528 | ) |
---|
| 529 | qscatrefVISgrid(j,1,iaer) = & |
---|
| 530 | qscatrefVISgrid(j,1,iaer) + & |
---|
| 531 | weightgaus(gausind) * & |
---|
| 532 | ( & |
---|
| 533 | omegrefVISb(gausind,iaer) * & |
---|
| 534 | qrefVISb(gausind,iaer) * & |
---|
| 535 | pi*radGAUSb(gausind,iaer,idomain) * & |
---|
| 536 | radGAUSb(gausind,iaer,idomain) * & |
---|
| 537 | distb(j,1,iaer,idomain,gausind) + & |
---|
| 538 | omegrefVISa(gausind,iaer) * & |
---|
| 539 | qrefVISa(gausind,iaer) * & |
---|
| 540 | pi*radGAUSa(gausind,iaer,idomain) * & |
---|
| 541 | radGAUSa(gausind,iaer,idomain) * & |
---|
| 542 | dista(j,1,iaer,idomain,gausind) & |
---|
| 543 | ) |
---|
[135] | 544 | ENDDO |
---|
[253] | 545 | |
---|
| 546 | qrefVISgrid(j,1,iaer)=qrefVISgrid(j,1,iaer) / & |
---|
| 547 | normd(j,1,iaer,idomain) |
---|
| 548 | qscatrefVISgrid(j,1,iaer)=qscatrefVISgrid(j,1,iaer) / & |
---|
| 549 | normd(j,1,iaer,idomain) |
---|
| 550 | omegrefVISgrid(j,1,iaer)=qscatrefVISgrid(j,1,iaer) / & |
---|
| 551 | qrefVISgrid(j,1,iaer) |
---|
| 552 | DO m=1,L_NSPECTV |
---|
| 553 | qextVISgrid(j,1,m,iaer)=qextVISgrid(j,1,m,iaer) / & |
---|
| 554 | normd(j,1,iaer,idomain) |
---|
| 555 | qscatVISgrid(j,1,m,iaer)=qscatVISgrid(j,1,m,iaer) / & |
---|
| 556 | normd(j,1,iaer,idomain) |
---|
| 557 | gVISgrid(j,1,m,iaer)=gVISgrid(j,1,m,iaer) / & |
---|
| 558 | qscatVISgrid(j,1,m,iaer) / & |
---|
| 559 | normd(j,1,iaer,idomain) |
---|
| 560 | |
---|
| 561 | qsqrefVISgrid(j,1,m,iaer)=qextVISgrid(j,1,m,iaer) / & |
---|
| 562 | qrefVISgrid(j,1,iaer) |
---|
| 563 | omegVISgrid(j,1,m,iaer)=qscatVISgrid(j,1,m,iaer) / & |
---|
| 564 | qextVISgrid(j,1,m,iaer) |
---|
| 565 | ENDDO |
---|
[135] | 566 | ELSE ! INFRARED DOMAIN ---------- |
---|
| 567 | ! 2.3.3.ir Initialization |
---|
[253] | 568 | qsqrefIRgrid(j,1,:,iaer)=0. |
---|
| 569 | qextIRgrid(j,1,:,iaer)=0. |
---|
| 570 | qscatIRgrid(j,1,:,iaer)=0. |
---|
[135] | 571 | omegIRgrid(j,1,:,iaer)=0. |
---|
| 572 | gIRgrid(j,1,:,iaer)=0. |
---|
[253] | 573 | qrefIRgrid(j,1,iaer)=0. |
---|
| 574 | qscatrefIRgrid(j,1,iaer)=0. |
---|
| 575 | omegrefIRgrid(j,1,iaer)=0. |
---|
| 576 | |
---|
| 577 | DO gausind=1,ngau |
---|
| 578 | DO m=1,L_NSPECTI |
---|
| 579 | ! Convolution: |
---|
| 580 | qextIRgrid(j,1,m,iaer) = & |
---|
| 581 | qextIRgrid(j,1,m,iaer) + & |
---|
| 582 | weightgaus(gausind) * & |
---|
| 583 | ( & |
---|
| 584 | qsqrefIRb(m,gausind,iaer) * & |
---|
| 585 | qrefVISb(gausind,iaer) * & |
---|
| 586 | pi*radGAUSb(gausind,iaer,idomain) * & |
---|
| 587 | radGAUSb(gausind,iaer,idomain) * & |
---|
| 588 | distb(j,1,iaer,idomain,gausind) + & |
---|
| 589 | qsqrefIRa(m,gausind,iaer) * & |
---|
| 590 | qrefVISa(gausind,iaer) * & |
---|
| 591 | pi*radGAUSa(gausind,iaer,idomain) * & |
---|
| 592 | radGAUSa(gausind,iaer,idomain) * & |
---|
| 593 | dista(j,1,iaer,idomain,gausind) & |
---|
| 594 | ) |
---|
| 595 | qscatIRgrid(j,1,m,iaer) = & |
---|
| 596 | qscatIRgrid(j,1,m,iaer) + & |
---|
| 597 | weightgaus(gausind) * & |
---|
| 598 | ( & |
---|
| 599 | omegIRb(m,gausind,iaer) * & |
---|
| 600 | qsqrefIRb(m,gausind,iaer) * & |
---|
| 601 | qrefVISb(gausind,iaer) * & |
---|
| 602 | pi*radGAUSb(gausind,iaer,idomain) * & |
---|
| 603 | radGAUSb(gausind,iaer,idomain) * & |
---|
| 604 | distb(j,1,iaer,idomain,gausind) + & |
---|
| 605 | omegIRa(m,gausind,iaer) * & |
---|
| 606 | qsqrefIRa(m,gausind,iaer) * & |
---|
| 607 | qrefVISa(gausind,iaer) * & |
---|
| 608 | pi*radGAUSa(gausind,iaer,idomain) * & |
---|
| 609 | radGAUSa(gausind,iaer,idomain) * & |
---|
| 610 | dista(j,1,iaer,idomain,gausind) & |
---|
| 611 | ) |
---|
| 612 | gIRgrid(j,1,m,iaer) = & |
---|
| 613 | gIRgrid(j,1,m,iaer) + & |
---|
| 614 | weightgaus(gausind) * & |
---|
| 615 | ( & |
---|
| 616 | omegIRb(m,gausind,iaer) * & |
---|
| 617 | qsqrefIRb(m,gausind,iaer) * & |
---|
| 618 | qrefVISb(gausind,iaer) * & |
---|
| 619 | gIRb(m,gausind,iaer) * & |
---|
| 620 | pi*radGAUSb(gausind,iaer,idomain) * & |
---|
| 621 | radGAUSb(gausind,iaer,idomain) * & |
---|
| 622 | distb(j,1,iaer,idomain,gausind) + & |
---|
| 623 | omegIRa(m,gausind,iaer) * & |
---|
| 624 | qsqrefIRa(m,gausind,iaer) * & |
---|
| 625 | qrefVISa(gausind,iaer) * & |
---|
| 626 | gIRa(m,gausind,iaer) * & |
---|
| 627 | pi*radGAUSa(gausind,iaer,idomain) * & |
---|
| 628 | radGAUSa(gausind,iaer,idomain) * & |
---|
| 629 | dista(j,1,iaer,idomain,gausind) & |
---|
| 630 | ) |
---|
| 631 | ENDDO |
---|
| 632 | qrefIRgrid(j,1,iaer) = & |
---|
| 633 | qrefIRgrid(j,1,iaer) + & |
---|
| 634 | weightgaus(gausind) * & |
---|
| 635 | ( & |
---|
| 636 | qrefIRb(gausind,iaer) * & |
---|
| 637 | pi*radGAUSb(gausind,iaer,idomain) * & |
---|
| 638 | radGAUSb(gausind,iaer,idomain) * & |
---|
| 639 | distb(j,1,iaer,idomain,gausind) + & |
---|
| 640 | qrefIRa(gausind,iaer) * & |
---|
| 641 | pi*radGAUSa(gausind,iaer,idomain) * & |
---|
| 642 | radGAUSa(gausind,iaer,idomain) * & |
---|
| 643 | dista(j,1,iaer,idomain,gausind) & |
---|
| 644 | ) |
---|
| 645 | qscatrefIRgrid(j,1,iaer) = & |
---|
| 646 | qscatrefIRgrid(j,1,iaer) + & |
---|
| 647 | weightgaus(gausind) * & |
---|
| 648 | ( & |
---|
| 649 | omegrefIRb(gausind,iaer) * & |
---|
| 650 | qrefIRb(gausind,iaer) * & |
---|
| 651 | pi*radGAUSb(gausind,iaer,idomain) * & |
---|
| 652 | radGAUSb(gausind,iaer,idomain) * & |
---|
| 653 | distb(j,1,iaer,idomain,gausind) + & |
---|
| 654 | omegrefIRa(gausind,iaer) * & |
---|
| 655 | qrefIRa(gausind,iaer) * & |
---|
| 656 | pi*radGAUSa(gausind,iaer,idomain) * & |
---|
| 657 | radGAUSa(gausind,iaer,idomain) * & |
---|
| 658 | dista(j,1,iaer,idomain,gausind) & |
---|
| 659 | ) |
---|
[135] | 660 | ENDDO |
---|
[253] | 661 | |
---|
| 662 | qrefIRgrid(j,1,iaer)=qrefIRgrid(j,1,iaer) / & |
---|
| 663 | normd(j,1,iaer,idomain) |
---|
| 664 | qscatrefIRgrid(j,1,iaer)=qscatrefIRgrid(j,1,iaer) / & |
---|
| 665 | normd(j,1,iaer,idomain) |
---|
| 666 | omegrefIRgrid(j,1,iaer)=qscatrefIRgrid(j,1,iaer) / & |
---|
| 667 | qrefIRgrid(j,1,iaer) |
---|
| 668 | DO m=1,L_NSPECTI |
---|
| 669 | qextIRgrid(j,1,m,iaer)=qextIRgrid(j,1,m,iaer) / & |
---|
| 670 | normd(j,1,iaer,idomain) |
---|
| 671 | qscatIRgrid(j,1,m,iaer)=qscatIRgrid(j,1,m,iaer) / & |
---|
| 672 | normd(j,1,iaer,idomain) |
---|
| 673 | gIRgrid(j,1,m,iaer)=gIRgrid(j,1,m,iaer) / & |
---|
| 674 | qscatIRgrid(j,1,m,iaer) / & |
---|
| 675 | normd(j,1,iaer,idomain) |
---|
| 676 | |
---|
| 677 | qsqrefIRgrid(j,1,m,iaer)=qextIRgrid(j,1,m,iaer) / & |
---|
| 678 | qrefVISgrid(j,1,iaer) |
---|
| 679 | omegIRgrid(j,1,m,iaer)=qscatIRgrid(j,1,m,iaer) / & |
---|
| 680 | qextIRgrid(j,1,m,iaer) |
---|
| 681 | ENDDO |
---|
[135] | 682 | ENDIF ! -------------------------- |
---|
| 683 | checkgrid(j,1,iaer,idomain) = .true. |
---|
| 684 | ENDIF !checkgrid |
---|
| 685 | ENDDO !grid_i |
---|
| 686 | ! 2.4 Linear interpolation |
---|
| 687 | k1 = (1-kx) |
---|
| 688 | k2 = kx |
---|
| 689 | IF (idomain.EQ.1) THEN ! VISIBLE ------------------------ |
---|
| 690 | DO m=1,L_NSPECTV |
---|
[253] | 691 | QVISsQREF3d(ig,lg,m,iaer) = & |
---|
| 692 | k1*qsqrefVISgrid(grid_i,1,m,iaer) + & |
---|
| 693 | k2*qsqrefVISgrid(grid_i+1,1,m,iaer) |
---|
| 694 | omegaVIS3d(ig,lg,m,iaer) = & |
---|
| 695 | k1*omegVISgrid(grid_i,1,m,iaer) + & |
---|
| 696 | k2*omegVISgrid(grid_i+1,1,m,iaer) |
---|
| 697 | gVIS3d(ig,lg,m,iaer) = & |
---|
| 698 | k1*gVISgrid(grid_i,1,m,iaer) + & |
---|
| 699 | k2*gVISgrid(grid_i+1,1,m,iaer) |
---|
[135] | 700 | ENDDO !L_NSPECTV |
---|
[253] | 701 | QREFvis3d(ig,lg,iaer) = & |
---|
| 702 | k1*qrefVISgrid(grid_i,1,iaer) + & |
---|
| 703 | k2*qrefVISgrid(grid_i+1,1,iaer) |
---|
| 704 | omegaREFvis3d(ig,lg,iaer) = & |
---|
| 705 | k1*omegrefVISgrid(grid_i,1,iaer) + & |
---|
| 706 | k2*omegrefVISgrid(grid_i+1,1,iaer) |
---|
[135] | 707 | ELSE ! INFRARED ----------------------- |
---|
| 708 | DO m=1,L_NSPECTI |
---|
[253] | 709 | QIRsQREF3d(ig,lg,m,iaer) = & |
---|
| 710 | k1*qsqrefIRgrid(grid_i,1,m,iaer) + & |
---|
| 711 | k2*qsqrefIRgrid(grid_i+1,1,m,iaer) |
---|
| 712 | omegaIR3d(ig,lg,m,iaer) = & |
---|
| 713 | k1*omegIRgrid(grid_i,1,m,iaer) + & |
---|
| 714 | k2*omegIRgrid(grid_i+1,1,m,iaer) |
---|
| 715 | gIR3d(ig,lg,m,iaer) = & |
---|
| 716 | k1*gIRgrid(grid_i,1,m,iaer) + & |
---|
| 717 | k2*gIRgrid(grid_i+1,1,m,iaer) |
---|
[135] | 718 | ENDDO !L_NSPECTI |
---|
[253] | 719 | QREFir3d(ig,lg,iaer) = & |
---|
| 720 | k1*qrefIRgrid(grid_i,1,iaer) + & |
---|
| 721 | k2*qrefIRgrid(grid_i+1,1,iaer) |
---|
| 722 | omegaREFir3d(ig,lg,iaer) = & |
---|
| 723 | k1*omegrefIRgrid(grid_i,1,iaer) + & |
---|
| 724 | k2*omegrefIRgrid(grid_i+1,1,iaer) |
---|
[135] | 725 | ENDIF ! -------------------------------- |
---|
| 726 | ENDDO !nlayermx |
---|
| 727 | ENDDO !ngridmx |
---|
| 728 | |
---|
[253] | 729 | !================================================================== |
---|
| 730 | |
---|
| 731 | |
---|
| 732 | |
---|
[135] | 733 | ENDDO ! idomain |
---|
| 734 | |
---|
[253] | 735 | ENDIF ! nsize = 1 |
---|
[135] | 736 | |
---|
| 737 | ENDDO ! iaer (loop on aerosol kind) |
---|
| 738 | |
---|
[253] | 739 | RETURN |
---|
| 740 | END SUBROUTINE aeroptproperties |
---|
[135] | 741 | |
---|
[253] | 742 | |
---|
| 743 | |
---|
| 744 | |
---|