| 1 | SUBROUTINE inifis(ngrid,nlayer, |
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| 2 | $ day_ini,pdaysec,ptimestep, |
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| 3 | $ plat,plon,parea, |
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| 4 | $ prad,pg,pr,pcpp) |
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| 5 | |
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| 6 | use radinc_h, only : naerkind |
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| 7 | use datafile_mod, only: datadir |
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| 8 | |
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| 9 | !======================================================================= |
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| 10 | ! |
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| 11 | ! purpose: |
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| 12 | ! ------- |
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| 13 | ! |
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| 14 | ! Initialisation for the physical parametrisations of the LMD |
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| 15 | ! Generic Model. |
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| 16 | ! |
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| 17 | ! author: Frederic Hourdin 15 / 10 /93 |
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| 18 | ! ------- |
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| 19 | ! modified: Sebastien Lebonnois 11/06/2003 (new callphys.def) |
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| 20 | ! Ehouarn Millour (oct. 2008) tracers are now identified |
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| 21 | ! by their names and may not be contiguously |
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| 22 | ! stored in the q(:,:,:,:) array |
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| 23 | ! E.M. (june 2009) use getin routine to load parameters |
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| 24 | ! |
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| 25 | ! |
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| 26 | ! arguments: |
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| 27 | ! ---------- |
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| 28 | ! |
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| 29 | ! input: |
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| 30 | ! ------ |
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| 31 | ! |
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| 32 | ! ngrid Size of the horizontal grid. |
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| 33 | ! All internal loops are performed on that grid. |
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| 34 | ! nlayer Number of vertical layers. |
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| 35 | ! pdayref Day of reference for the simulation |
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| 36 | ! pday Number of days counted from the North. Spring |
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| 37 | ! equinoxe. |
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| 38 | ! |
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| 39 | !======================================================================= |
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| 40 | ! |
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| 41 | !----------------------------------------------------------------------- |
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| 42 | ! declarations: |
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| 43 | ! ------------- |
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| 44 | use datafile_mod, only: datadir |
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| 45 | ! to use 'getin' |
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| 46 | USE ioipsl_getincom |
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| 47 | IMPLICIT NONE |
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| 48 | #include "dimensions.h" |
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| 49 | #include "dimphys.h" |
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| 50 | #include "planete.h" |
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| 51 | #include "comcstfi.h" |
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| 52 | #include "comsaison.h" |
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| 53 | #include "comdiurn.h" |
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| 54 | #include "comgeomfi.h" |
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| 55 | #include "callkeys.h" |
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| 56 | #include "surfdat.h" |
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| 57 | |
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| 58 | |
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| 59 | |
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| 60 | REAL prad,pg,pr,pcpp,pdaysec,ptimestep |
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| 61 | |
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| 62 | INTEGER ngrid,nlayer |
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| 63 | REAL plat(ngrid),plon(ngrid),parea(ngridmx) |
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| 64 | integer day_ini |
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| 65 | INTEGER ig,ierr |
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| 66 | |
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| 67 | EXTERNAL iniorbit,orbite |
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| 68 | EXTERNAL SSUM |
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| 69 | REAL SSUM |
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| 70 | |
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| 71 | CHARACTER ch1*12 |
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| 72 | CHARACTER ch80*80 |
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| 73 | |
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| 74 | logical chem, h2o |
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| 75 | logical :: parameter, doubleq=.false. |
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| 76 | |
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| 77 | real psurf,pN2 ! added by RW for Gliese 581d N2+CO2 |
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| 78 | |
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| 79 | rad=prad |
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| 80 | daysec=pdaysec |
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| 81 | dtphys=ptimestep |
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| 82 | cpp=pcpp |
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| 83 | g=pg |
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| 84 | r=pr |
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| 85 | rcp=r/cpp |
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| 86 | |
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| 87 | avocado = 6.02214179e23 ! added by RW |
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| 88 | |
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| 89 | ! -------------------------------------------------------- |
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| 90 | ! The usual Tests |
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| 91 | ! -------------- |
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| 92 | IF (nlayer.NE.nlayermx) THEN |
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| 93 | PRINT*,'STOP in inifis' |
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| 94 | PRINT*,'Probleme de dimensions :' |
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| 95 | PRINT*,'nlayer = ',nlayer |
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| 96 | PRINT*,'nlayermx = ',nlayermx |
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| 97 | STOP |
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| 98 | ENDIF |
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| 99 | |
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| 100 | IF (ngrid.NE.ngridmx) THEN |
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| 101 | PRINT*,'STOP in inifis' |
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| 102 | PRINT*,'Probleme de dimensions :' |
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| 103 | PRINT*,'ngrid = ',ngrid |
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| 104 | PRINT*,'ngridmx = ',ngridmx |
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| 105 | STOP |
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| 106 | ENDIF |
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| 107 | |
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| 108 | ! -------------------------------------------------------------- |
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| 109 | ! Reading the "callphys.def" file controlling some key options |
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| 110 | ! -------------------------------------------------------------- |
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| 111 | |
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| 112 | ! check that 'callphys.def' file is around |
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| 113 | OPEN(99,file='callphys.def',status='old',form='formatted' |
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| 114 | & ,iostat=ierr) |
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| 115 | CLOSE(99) |
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| 116 | |
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| 117 | IF(ierr.EQ.0) THEN |
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| 118 | PRINT* |
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| 119 | PRINT* |
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| 120 | PRINT*,'--------------------------------------------' |
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| 121 | PRINT*,' inifis: Parametres pour la physique (callphys.def)' |
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| 122 | PRINT*,'--------------------------------------------' |
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| 123 | |
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| 124 | write(*,*) "Directory where external input files are:" |
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| 125 | ! default 'datadir' is set in "datadir_mod" |
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| 126 | call getin("datadir",datadir) ! default path |
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| 127 | write(*,*) " datadir = ",trim(datadir) |
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| 128 | |
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| 129 | write(*,*) "Run with or without tracer transport ?" |
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| 130 | tracer=.false. ! default value |
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| 131 | call getin("tracer",tracer) |
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| 132 | write(*,*) " tracer = ",tracer |
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| 133 | |
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| 134 | write(*,*) "Diurnal cycle ?" |
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| 135 | write(*,*) "(if diurnal=false, diurnal averaged solar heating)" |
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| 136 | diurnal=.true. ! default value |
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| 137 | call getin("diurnal",diurnal) |
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| 138 | write(*,*) " diurnal = ",diurnal |
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| 139 | |
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| 140 | write(*,*) "Seasonal cycle ?" |
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| 141 | write(*,*) "(if season=false, Ls stays constant, to value ", |
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| 142 | & "set in 'start'" |
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| 143 | season=.true. ! default value |
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| 144 | call getin("season",season) |
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| 145 | write(*,*) " season = ",season |
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| 146 | |
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| 147 | write(*,*) "Tidally resonant rotation ?" |
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| 148 | tlocked=.false. ! default value |
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| 149 | call getin("tlocked",tlocked) |
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| 150 | write(*,*) "tlocked = ",tlocked |
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| 151 | |
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| 152 | ! Test of incompatibility: |
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| 153 | ! if tlocked, then diurnal should be false |
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| 154 | if (tlocked.and.diurnal) then |
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| 155 | print*,'If diurnal=true, we should turn off tlocked.' |
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| 156 | stop |
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| 157 | endif |
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| 158 | |
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| 159 | write(*,*) "Tidal resonance ratio ?" |
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| 160 | nres=0 ! default value |
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| 161 | call getin("nres",nres) |
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| 162 | write(*,*) "nres = ",nres |
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| 163 | |
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| 164 | write(*,*) "Write some extra output to the screen ?" |
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| 165 | lwrite=.false. ! default value |
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| 166 | call getin("lwrite",lwrite) |
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| 167 | write(*,*) " lwrite = ",lwrite |
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| 168 | |
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| 169 | write(*,*) "Save statistics in file stats.nc ?" |
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| 170 | callstats=.true. ! default value |
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| 171 | call getin("callstats",callstats) |
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| 172 | write(*,*) " callstats = ",callstats |
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| 173 | |
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| 174 | write(*,*) "Test energy conservation of model physics ?" |
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| 175 | enertest=.false. ! default value |
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| 176 | call getin("enertest",enertest) |
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| 177 | write(*,*) " enertest = ",enertest |
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| 178 | |
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| 179 | write(*,*) "call radiative transfer ?" |
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| 180 | callrad=.true. ! default value |
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| 181 | call getin("callrad",callrad) |
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| 182 | write(*,*) " callrad = ",callrad |
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| 183 | |
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| 184 | write(*,*) "call correlated-k radiative transfer ?" |
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| 185 | corrk=.true. ! default value |
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| 186 | call getin("corrk",corrk) |
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| 187 | write(*,*) " corrk = ",corrk |
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| 188 | |
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| 189 | write(*,*) "call gaseous absorption in the visible bands?", |
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| 190 | & "(matters only if callrad=T)" |
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| 191 | callgasvis=.false. ! default value |
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| 192 | call getin("callgasvis",callgasvis) |
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| 193 | write(*,*) " callgasvis = ",callgasvis |
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| 194 | |
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| 195 | write(*,*) "call continuum opacities in radiative transfer ?", |
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| 196 | & "(matters only if callrad=T)" |
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| 197 | Continuum=.false. ! default value |
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| 198 | call getin("Continuum",Continuum) |
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| 199 | write(*,*) " Continuum = ",Continuum |
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| 200 | |
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| 201 | write(*,*) "call turbulent vertical diffusion ?" |
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| 202 | calldifv=.true. ! default value |
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| 203 | call getin("calldifv",calldifv) |
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| 204 | write(*,*) " calldifv = ",calldifv |
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| 205 | |
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| 206 | write(*,*) "call convective adjustment ?" |
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| 207 | calladj=.true. ! default value |
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| 208 | call getin("calladj",calladj) |
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| 209 | write(*,*) " calladj = ",calladj |
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| 210 | |
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| 211 | write(*,*)"Gas is nonideal CO2 ?" |
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| 212 | nonideal=.false. |
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| 213 | call getin("nonideal",nonideal) |
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| 214 | write(*,*)" nonideal = ",nonideal |
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| 215 | |
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| 216 | ! Test of incompatibility |
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| 217 | if (enertest.and.nonideal) then |
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| 218 | print*,'Energy conservation calculations currently |
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| 219 | & assume ideal gas!' |
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| 220 | call abort |
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| 221 | endif |
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| 222 | |
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| 223 | write(*,*) "call CO2 condensation ?" |
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| 224 | co2cond=.true. ! default value |
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| 225 | call getin("co2cond",co2cond) |
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| 226 | write(*,*) " co2cond = ",co2cond |
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| 227 | |
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| 228 | write(*,*) "CO2 supersaturation level ?" |
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| 229 | co2supsat=1.0 ! default value |
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| 230 | call getin("co2supsat",co2supsat) |
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| 231 | write(*,*) " co2supsat = ",co2supsat |
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| 232 | |
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| 233 | write(*,*) "Radiative timescale for Newtonian cooling ?" |
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| 234 | tau_relax=30. ! default value |
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| 235 | call getin("tau_relax",tau_relax) |
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| 236 | write(*,*) " tau_relax = ",tau_relax |
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| 237 | tau_relax=tau_relax*24*3600 ! convert Earth days --> seconds |
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| 238 | |
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| 239 | write(*,*)"call thermal conduction in the soil ?" |
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| 240 | callsoil=.true. ! default value |
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| 241 | call getin("callsoil",callsoil) |
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| 242 | write(*,*) " callsoil = ",callsoil |
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| 243 | |
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| 244 | write(*,*)"Rad transfer is computed every iradia", |
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| 245 | & " physical timestep" |
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| 246 | iradia=1 ! default value |
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| 247 | call getin("iradia",iradia) |
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| 248 | write(*,*)" iradia = ",iradia |
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| 249 | |
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| 250 | write(*,*)"Rayleigh scattering ?" |
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| 251 | rayleigh=.false. |
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| 252 | call getin("rayleigh",rayleigh) |
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| 253 | write(*,*)" rayleigh = ",rayleigh |
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| 254 | |
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| 255 | write(*,*) "Use blackbody for stellar spectrum ?" |
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| 256 | stelbbody=.false. ! default value |
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| 257 | call getin("stelbbody",stelbbody) |
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| 258 | write(*,*) " stelbbody = ",stelbbody |
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| 259 | |
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| 260 | write(*,*) "Stellar blackbody temperature ?" |
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| 261 | stelTbb=5800.0 ! default value |
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| 262 | call getin("stelTbb",stelTbb) |
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| 263 | write(*,*) " stelTbb = ",stelTbb |
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| 264 | |
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| 265 | write(*,*)"Output mean OLR in 1D?" |
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| 266 | meanOLR=.false. |
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| 267 | call getin("meanOLR",meanOLR) |
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| 268 | write(*,*)" meanOLR = ",meanOLR |
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| 269 | |
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| 270 | write(*,*)"Output spectral OLR in 3D?" |
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| 271 | specOLR=.false. |
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| 272 | call getin("specOLR",specOLR) |
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| 273 | write(*,*)" specOLR = ",specOLR |
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| 274 | |
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| 275 | write(*,*)"Operate in kastprof mode?" |
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| 276 | kastprof=.false. |
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| 277 | call getin("kastprof",kastprof) |
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| 278 | write(*,*)" kastprof = ",kastprof |
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| 279 | |
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| 280 | write(*,*)"Uniform absorption coefficient in IR?" |
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| 281 | graybody=.false. |
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| 282 | call getin("graybody",graybody) |
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| 283 | write(*,*)" graybody = ",graybody |
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| 284 | |
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| 285 | ! Test of incompatibility: |
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| 286 | ! if kastprof used, we must be in 1D |
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| 287 | if (kastprof.and.(ngridmx.gt.1)) then |
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| 288 | print*,'kastprof can only be used in 1D!' |
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| 289 | call abort |
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| 290 | endif |
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| 291 | |
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| 292 | write(*,*)"Stratospheric temperature for kastprof mode?" |
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| 293 | Tstrat=167.0 |
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| 294 | call getin("Tstrat",Tstrat) |
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| 295 | write(*,*)" Tstrat = ",Tstrat |
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| 296 | |
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| 297 | write(*,*)"Remove lower boundary?" |
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| 298 | noradsurf=.false. |
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| 299 | call getin("noradsurf",noradsurf) |
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| 300 | write(*,*)" noradsurf = ",noradsurf |
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| 301 | |
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| 302 | ! Tests of incompatibility: |
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| 303 | if (noradsurf.and.callsoil) then |
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| 304 | print*,'noradsurf not compatible with soil scheme!' |
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| 305 | call abort |
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| 306 | endif |
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| 307 | if (noradsurf.and.calldifv) then |
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| 308 | print*,'noradsurf not compatible with a boundary layer!' |
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| 309 | call abort |
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| 310 | endif |
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| 311 | |
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| 312 | |
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| 313 | write(*,*)"Use Newtonian cooling for radiative transfer?" |
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| 314 | newtonian=.false. |
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| 315 | call getin("newtonian",newtonian) |
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| 316 | write(*,*)" newtonian = ",newtonian |
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| 317 | |
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| 318 | ! Tests of incompatibility: |
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| 319 | if (newtonian.and.corrk) then |
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| 320 | print*,'newtonian not compatible with correlated-k!' |
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| 321 | call abort |
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| 322 | endif |
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| 323 | if (newtonian.and.calladj) then |
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| 324 | print*,'newtonian not compatible with adjustment!' |
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| 325 | call abort |
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| 326 | endif |
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| 327 | if (newtonian.and.calldifv) then |
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| 328 | print*,'newtonian not compatible with a boundary layer!' |
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| 329 | call abort |
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| 330 | endif |
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| 331 | |
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| 332 | write(*,*)"Test physics timescale in 1D?" |
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| 333 | testradtimes=.false. |
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| 334 | call getin("testradtimes",testradtimes) |
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| 335 | write(*,*)" testradtimes = ",testradtimes |
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| 336 | |
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| 337 | ! Test of incompatibility: |
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| 338 | ! if testradtimes used, we must be in 1D |
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| 339 | if (testradtimes.and.(ngridmx.gt.1)) then |
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| 340 | print*,'testradtimes can only be used in 1D!' |
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| 341 | call abort |
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| 342 | endif |
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| 343 | |
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| 344 | write(*,*)"Default planetary temperature?" |
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| 345 | tplanet=215.0 |
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| 346 | call getin("tplanet",tplanet) |
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| 347 | write(*,*)" tplanet = ",tplanet |
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| 348 | |
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| 349 | write(*,*)"Which star?" |
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| 350 | startype=1 ! default value = Sol |
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| 351 | call getin("startype",startype) |
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| 352 | write(*,*)" startype = ",startype |
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| 353 | |
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| 354 | write(*,*)"Value of stellar flux at 1 AU?" |
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| 355 | Fat1AU=1356.0 ! default value = Sol today |
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| 356 | call getin("Fat1AU",Fat1AU) |
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| 357 | write(*,*)" Fat1AU = ",Fat1AU |
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| 358 | |
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| 359 | |
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| 360 | ! 1D solar zenith angle |
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| 361 | write(*,*)"Solar zenith angle in 1D?" |
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| 362 | szangle=60.0 |
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| 363 | call getin("szangle",szangle) |
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| 364 | write(*,*)" szangle = ",szangle |
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| 365 | |
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| 366 | ! TRACERS: |
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| 367 | |
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| 368 | write(*,*)"Fixed / inactive aerosol distribution?" |
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| 369 | aerofixed=.true. ! default value |
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| 370 | call getin("aerofixed",aerofixed) |
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| 371 | write(*,*)" aerofixed = ",aerofixed |
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| 372 | |
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| 373 | write(*,*)"Varying H2O cloud fraction?" |
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| 374 | CLFvarying=.false. ! default value |
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| 375 | call getin("CLFvarying",CLFvarying) |
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| 376 | write(*,*)" CLFvarying = ",CLFvarying |
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| 377 | |
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| 378 | write(*,*)"Value of fixed H2O cloud fraction?" |
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| 379 | CLFfixval=1.0 ! default value |
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| 380 | call getin("CLFfixval",CLFfixval) |
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| 381 | write(*,*)" CLFfixval = ",CLFfixval |
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| 382 | |
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| 383 | write(*,*)"Number mixing ratio of CO2 ice particles:" |
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| 384 | Nmix_co2=100000. ! default value |
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| 385 | call getin("Nmix_co2",Nmix_co2) |
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| 386 | write(*,*)" Nmix_co2 = ",Nmix_co2 |
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| 387 | |
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| 388 | write(*,*)"Number mixing ratio of H2O ice particles:" |
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| 389 | Nmix_h2o=10000000. ! default value |
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| 390 | call getin("Nmix_h2o",Nmix_h2o) |
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| 391 | write(*,*)" Nmix_h2o = ",Nmix_h2o |
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| 392 | |
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| 393 | write(*,*)"Opacity of dust (if used):" |
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| 394 | dusttau=0. ! default value |
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| 395 | call getin("dusttau",dusttau) |
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| 396 | write(*,*)" dusttau = ",dusttau |
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| 397 | |
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| 398 | ! Test of incompatibility: |
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| 399 | ! if less than 3 aerosols, then dusttau should = 0 |
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| 400 | if ((naerkind.lt.3).and.dusttau.gt.0.) then |
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| 401 | print*,'Need naer>2 for radiatively active dust!' |
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| 402 | stop |
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| 403 | endif |
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| 404 | |
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| 405 | write(*,*)"Cloud pressure level (with kastprof only):" |
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| 406 | cloudlvl=0. ! default value |
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| 407 | call getin("cloudlvl",cloudlvl) |
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| 408 | write(*,*)" cloudlvl = ",cloudlvl |
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| 409 | |
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| 410 | write(*,*)"Is the variable gas species radiatively active?" |
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| 411 | Tstrat=167.0 |
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| 412 | varactive=.false. |
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| 413 | call getin("varactive",varactive) |
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| 414 | write(*,*)" varactive = ",varactive |
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| 415 | |
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| 416 | write(*,*)"Is the variable gas species distribution set?" |
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| 417 | varfixed=.false. |
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| 418 | call getin("varfixed",varfixed) |
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| 419 | write(*,*)" varfixed = ",varfixed |
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| 420 | |
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| 421 | write(*,*)"What is the saturation % of the variable species?" |
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| 422 | satval=0.8 |
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| 423 | call getin("satval",satval) |
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| 424 | write(*,*)" satval = ",satval |
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| 425 | |
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| 426 | ! Test of incompatibility: |
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| 427 | ! if no tracers, then aerofixed should be true |
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| 428 | if ((.not.tracer).and.(.not.aerofixed)) then |
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| 429 | print*,'if tracers are off, aerofixed must be ON!' |
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| 430 | stop |
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| 431 | endif |
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| 432 | |
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| 433 | ! Test of incompatibility: |
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| 434 | ! if varactive, then varfixed should be false |
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| 435 | if (varactive.and.varfixed) then |
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| 436 | print*,'if varactive, varfixed must be OFF!' |
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| 437 | stop |
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| 438 | endif |
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| 439 | |
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| 440 | ! Test of incompatibility: |
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| 441 | |
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| 442 | write(*,*) "Gravitationnal sedimentation ?" |
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| 443 | sedimentation=.true. ! default value |
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| 444 | call getin("sedimentation",sedimentation) |
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| 445 | write(*,*) " sedimentation = ",sedimentation |
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| 446 | |
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| 447 | |
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| 448 | ! Test of incompatibility: |
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| 449 | |
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| 450 | write(*,*) "Compute water cycle ?" |
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| 451 | water=.false. ! default value |
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| 452 | call getin("water",water) |
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| 453 | write(*,*) " water = ",water |
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| 454 | |
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| 455 | write(*,*) "Include water condensation ?" |
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| 456 | watercond=.false. ! default value |
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| 457 | call getin("watercond",watercond) |
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| 458 | write(*,*) " watercond = ",watercond |
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| 459 | |
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| 460 | write(*,*) "Include water precipitation ?" |
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| 461 | waterrain=.false. ! default value |
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| 462 | call getin("waterrain",waterrain) |
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| 463 | write(*,*) " waterrain = ",waterrain |
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| 464 | |
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| 465 | write(*,*) "Precipitation threshold ?" |
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| 466 | rainthreshold=0.011 ! default value (Emmanuel 1997) |
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| 467 | call getin("rainthreshold",rainthreshold) |
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| 468 | write(*,*) " rainthreshold = ",rainthreshold |
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| 469 | |
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| 470 | write(*,*) "Include surface hydrology ?" |
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| 471 | hydrology=.false. ! default value |
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| 472 | call getin("hydrology",hydrology) |
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| 473 | write(*,*) " hydrology = ",hydrology |
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| 474 | |
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| 475 | write(*,*) "Evolve surface water sources ?" |
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| 476 | sourceevol=.false. ! default value |
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| 477 | call getin("sourceevol",sourceevol) |
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| 478 | write(*,*) " sourceevol = ",sourceevol |
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| 479 | |
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| 480 | write(*,*) "Ice evolution timestep ?" |
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| 481 | icetstep=100.0 ! default value |
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| 482 | call getin("icetstep",icetstep) |
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| 483 | write(*,*) " icetstep = ",icetstep |
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| 484 | |
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| 485 | write(*,*) "Snow albedo ?" |
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| 486 | albedosnow=0.5 ! default value |
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| 487 | call getin("albedosnow",albedosnow) |
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| 488 | write(*,*) " albedosnow = ",albedosnow |
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| 489 | |
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| 490 | write(*,*) "Maximum ice thickness ?" |
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| 491 | maxicethick=2.0 ! default value |
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| 492 | call getin("maxicethick",maxicethick) |
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| 493 | write(*,*) " maxicethick = ",maxicethick |
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| 494 | |
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| 495 | write(*,*) "Freezing point of seawater ?" |
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| 496 | Tsaldiff=-1.8 ! default value |
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| 497 | call getin("Tsaldiff",Tsaldiff) |
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| 498 | write(*,*) " Tsaldiff = ",Tsaldiff |
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| 499 | |
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| 500 | ! Test of incompatibility: |
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| 501 | ! if watercond is used, then water should be used too |
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| 502 | |
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| 503 | if (watercond.and.(.not.watercond)) then |
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| 504 | print*,'if watercond is used, water should be used too' |
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| 505 | stop |
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| 506 | endif |
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| 507 | |
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| 508 | mugaz=0. |
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| 509 | cpp=0. |
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| 510 | call su_gases |
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| 511 | call calc_cpp_mugaz |
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| 512 | |
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| 513 | PRINT*,'--------------------------------------------' |
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| 514 | PRINT* |
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| 515 | PRINT* |
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| 516 | ELSE |
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| 517 | write(*,*) |
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| 518 | write(*,*) 'Cannot read file callphys.def. Is it here ?' |
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| 519 | stop |
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| 520 | ENDIF |
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| 521 | |
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| 522 | 8000 FORMAT(t5,a12,l8) |
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| 523 | 8001 FORMAT(t5,a12,i8) |
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| 524 | |
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| 525 | PRINT* |
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| 526 | PRINT*,'inifis: daysec',daysec |
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| 527 | PRINT* |
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| 528 | PRINT*,'inifis: The radiative transfer is computed:' |
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| 529 | PRINT*,' each ',iradia,' physical time-step' |
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| 530 | PRINT*,' or each ',iradia*dtphys,' seconds' |
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| 531 | PRINT* |
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| 532 | |
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| 533 | |
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| 534 | !----------------------------------------------------------------------- |
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| 535 | ! Some more initialization: |
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| 536 | ! ------------------------ |
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| 537 | |
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| 538 | CALL SCOPY(ngrid,plon,1,long,1) |
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| 539 | CALL SCOPY(ngrid,plat,1,lati,1) |
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| 540 | CALL SCOPY(ngrid,parea,1,area,1) |
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| 541 | totarea=SSUM(ngridmx,area,1) |
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| 542 | |
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| 543 | DO ig=1,ngrid |
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| 544 | sinlat(ig)=sin(plat(ig)) |
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| 545 | coslat(ig)=cos(plat(ig)) |
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| 546 | sinlon(ig)=sin(plon(ig)) |
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| 547 | coslon(ig)=cos(plon(ig)) |
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| 548 | ENDDO |
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| 549 | |
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| 550 | pi=2.*asin(1.) ! NB: pi is a common in comcstfi.h |
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| 551 | |
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| 552 | RETURN |
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| 553 | END |
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