| 1 | ! |
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| 2 | ! $Id: gcm.F90 2247 2015-03-25 17:24:15Z lguez $ |
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| 3 | ! |
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| 4 | ! |
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| 5 | ! |
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| 6 | PROGRAM gcm |
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| 7 | |
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| 8 | #ifdef CPP_IOIPSL |
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| 9 | USE IOIPSL |
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| 10 | #else |
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| 11 | ! if not using IOIPSL, we still need to use (a local version of) getin |
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| 12 | USE ioipsl_getincom |
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| 13 | #endif |
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| 14 | |
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| 15 | |
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| 16 | #ifdef CPP_XIOS |
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| 17 | ! ug Pour les sorties XIOS |
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| 18 | USE wxios |
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| 19 | #endif |
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| 20 | |
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| 21 | USE filtreg_mod |
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| 22 | USE infotrac |
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| 23 | USE control_mod |
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| 24 | USE mod_const_mpi, ONLY: COMM_LMDZ |
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| 25 | |
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| 26 | #ifdef INCA |
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| 27 | ! Only INCA needs these informations (from the Earth's physics) |
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| 28 | USE indice_sol_mod |
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| 29 | USE mod_phys_lmdz_para, ONLY : klon_mpi_para_nb |
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| 30 | #endif |
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| 31 | |
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| 32 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 33 | ! FH 2008/05/09 On elimine toutes les clefs physiques dans la dynamique |
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| 34 | ! A nettoyer. On ne veut qu'une ou deux routines d'interface |
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| 35 | ! dynamique -> physique pour l'initialisation |
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| 36 | #ifdef CPP_PHYS |
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| 37 | ! USE dimphy |
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| 38 | ! USE comgeomphy |
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| 39 | #endif |
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| 40 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 41 | |
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| 42 | IMPLICIT NONE |
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| 43 | |
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| 44 | ! ...... Version du 10/01/98 .......... |
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| 45 | |
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| 46 | ! avec coordonnees verticales hybrides |
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| 47 | ! avec nouveaux operat. dissipation * ( gradiv2,divgrad2,nxgraro2 ) |
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| 48 | |
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| 49 | !======================================================================= |
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| 50 | ! |
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| 51 | ! Auteur: P. Le Van /L. Fairhead/F.Hourdin |
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| 52 | ! ------- |
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| 53 | ! |
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| 54 | ! Objet: |
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| 55 | ! ------ |
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| 56 | ! |
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| 57 | ! GCM LMD nouvelle grille |
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| 58 | ! |
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| 59 | !======================================================================= |
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| 60 | ! |
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| 61 | ! ... Dans inigeom , nouveaux calculs pour les elongations cu , cv |
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| 62 | ! et possibilite d'appeler une fonction f(y) a derivee tangente |
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| 63 | ! hyperbolique a la place de la fonction a derivee sinusoidale. |
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| 64 | ! ... Possibilite de choisir le schema pour l'advection de |
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| 65 | ! q , en modifiant iadv dans traceur.def (MAF,10/02) . |
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| 66 | ! |
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| 67 | ! Pour Van-Leer + Vapeur d'eau saturee, iadv(1)=4. (F.Codron,10/99) |
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| 68 | ! Pour Van-Leer iadv=10 |
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| 69 | ! |
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| 70 | !----------------------------------------------------------------------- |
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| 71 | ! Declarations: |
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| 72 | ! ------------- |
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| 73 | |
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| 74 | include "dimensions.h" |
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| 75 | include "paramet.h" |
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| 76 | include "comconst.h" |
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| 77 | include "comdissnew.h" |
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| 78 | include "comvert.h" |
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| 79 | include "comgeom.h" |
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| 80 | include "logic.h" |
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| 81 | include "temps.h" |
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| 82 | !!!!!!!!!!!include "control.h" |
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| 83 | include "ener.h" |
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| 84 | include "description.h" |
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| 85 | include "serre.h" |
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| 86 | !include "com_io_dyn.h" |
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| 87 | include "iniprint.h" |
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| 88 | include "tracstoke.h" |
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| 89 | #ifdef INCA |
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| 90 | ! Only INCA needs these informations (from the Earth's physics) |
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| 91 | !include "indicesol.h" |
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| 92 | #endif |
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| 93 | |
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| 94 | REAL zdtvr |
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| 95 | |
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| 96 | ! variables dynamiques |
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| 97 | REAL vcov(ip1jm,llm),ucov(ip1jmp1,llm) ! vents covariants |
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| 98 | REAL teta(ip1jmp1,llm) ! temperature potentielle |
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| 99 | REAL, ALLOCATABLE, DIMENSION(:,:,:):: q! champs advectes |
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| 100 | REAL ps(ip1jmp1) ! pression au sol |
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| 101 | REAL p (ip1jmp1,llmp1 ) ! pression aux interfac.des couches |
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| 102 | REAL masse(ip1jmp1,llm) ! masse d'air |
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| 103 | REAL phis(ip1jmp1) ! geopotentiel au sol |
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| 104 | REAL phi(ip1jmp1,llm) ! geopotentiel |
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| 105 | REAL w(ip1jmp1,llm) ! vitesse verticale |
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| 106 | |
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| 107 | ! variables dynamiques intermediaire pour le transport |
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| 108 | |
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| 109 | ! variables pour le fichier histoire |
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| 110 | REAL dtav ! intervalle de temps elementaire |
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| 111 | |
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| 112 | REAL time_0 |
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| 113 | |
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| 114 | LOGICAL lafin |
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| 115 | INTEGER ij,iq,l,i,j |
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| 116 | |
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| 117 | |
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| 118 | real time_step, t_wrt, t_ops |
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| 119 | |
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| 120 | LOGICAL first |
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| 121 | |
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| 122 | ! LOGICAL call_iniphys |
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| 123 | ! data call_iniphys/.true./ |
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| 124 | |
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| 125 | !+jld variables test conservation energie |
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| 126 | ! REAL ecin(ip1jmp1,llm),ecin0(ip1jmp1,llm) |
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| 127 | ! Tendance de la temp. potentiel d (theta)/ d t due a la |
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| 128 | ! tansformation d'energie cinetique en energie thermique |
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| 129 | ! cree par la dissipation |
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| 130 | REAL dhecdt(ip1jmp1,llm) |
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| 131 | ! REAL vcont(ip1jm,llm),ucont(ip1jmp1,llm) |
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| 132 | ! REAL d_h_vcol, d_qt, d_qw, d_ql, d_ec |
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| 133 | CHARACTER (len=15) :: ztit |
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| 134 | !-jld |
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| 135 | |
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| 136 | |
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| 137 | character (len=80) :: dynhist_file, dynhistave_file |
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| 138 | character (len=20) :: modname |
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| 139 | character (len=80) :: abort_message |
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| 140 | ! locales pour gestion du temps |
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| 141 | INTEGER :: an, mois, jour |
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| 142 | REAL :: heure |
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| 143 | logical use_filtre_fft |
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| 144 | |
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| 145 | !----------------------------------------------------------------------- |
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| 146 | ! Initialisations: |
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| 147 | ! ---------------- |
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| 148 | |
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| 149 | abort_message = 'last timestep reached' |
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| 150 | modname = 'gcm' |
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| 151 | descript = 'Run GCM LMDZ' |
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| 152 | lafin = .FALSE. |
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| 153 | dynhist_file = 'dyn_hist.nc' |
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| 154 | dynhistave_file = 'dyn_hist_ave.nc' |
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| 155 | |
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| 156 | |
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| 157 | |
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| 158 | !---------------------------------------------------------------------- |
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| 159 | ! lecture des fichiers gcm.def ou run.def |
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| 160 | ! --------------------------------------- |
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| 161 | ! |
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| 162 | CALL conf_gcm( 99, .TRUE.) |
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| 163 | |
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| 164 | if (mod(iphysiq, iperiod) /= 0) call abort_gcm("conf_gcm", & |
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| 165 | "iphysiq must be a multiple of iperiod", 1) |
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| 166 | |
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| 167 | use_filtre_fft=.FALSE. |
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| 168 | CALL getin('use_filtre_fft',use_filtre_fft) |
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| 169 | IF (use_filtre_fft) call abort_gcm('FFT filter is not available in the ' & |
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| 170 | // 'sequential version of the dynamics.', 1) |
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| 171 | |
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| 172 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 173 | ! Initialisation de XIOS |
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| 174 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 175 | |
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| 176 | #ifdef CPP_XIOS |
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| 177 | CALL wxios_init("LMDZ") |
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| 178 | #endif |
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| 179 | |
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| 180 | |
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| 181 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 182 | ! FH 2008/05/02 |
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| 183 | ! A nettoyer. On ne veut qu'une ou deux routines d'interface |
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| 184 | ! dynamique -> physique pour l'initialisation |
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| 185 | #ifdef CPP_PHYS |
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| 186 | CALL Init_Phys_lmdz(iim,jjp1,llm,1,(/(jjm-1)*iim+2/),COMM_LMDZ) |
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| 187 | ! call InitComgeomphy ! now done in iniphysiq |
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| 188 | #endif |
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| 189 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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| 190 | !----------------------------------------------------------------------- |
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| 191 | ! Choix du calendrier |
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| 192 | ! ------------------- |
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| 193 | |
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| 194 | ! calend = 'earth_365d' |
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| 195 | |
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| 196 | #ifdef CPP_IOIPSL |
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| 197 | if (calend == 'earth_360d') then |
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| 198 | call ioconf_calendar('360d') |
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| 199 | write(lunout,*)'CALENDRIER CHOISI: Terrestre a 360 jours/an' |
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| 200 | else if (calend == 'earth_365d') then |
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| 201 | call ioconf_calendar('noleap') |
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| 202 | write(lunout,*)'CALENDRIER CHOISI: Terrestre a 365 jours/an' |
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| 203 | else if (calend == 'gregorian') then |
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| 204 | call ioconf_calendar('gregorian') |
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| 205 | write(lunout,*)'CALENDRIER CHOISI: Terrestre bissextile' |
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| 206 | else |
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| 207 | abort_message = 'Mauvais choix de calendrier' |
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| 208 | call abort_gcm(modname,abort_message,1) |
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| 209 | endif |
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| 210 | #endif |
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| 211 | !----------------------------------------------------------------------- |
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| 212 | |
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| 213 | IF (type_trac == 'inca') THEN |
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| 214 | #ifdef INCA |
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| 215 | call init_const_lmdz(nbtr,anneeref,dayref,iphysiq,day_step,nday, & |
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| 216 | nbsrf, is_oce,is_sic,is_ter,is_lic) |
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| 217 | call init_inca_para(iim,jjm+1,klon,1,klon_mpi_para_nb,0) |
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| 218 | #endif |
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| 219 | END IF |
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| 220 | ! |
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| 221 | ! |
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| 222 | !------------------------------------ |
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| 223 | ! Initialisation partie parallele |
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| 224 | !------------------------------------ |
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| 225 | |
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| 226 | ! |
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| 227 | ! |
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| 228 | !----------------------------------------------------------------------- |
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| 229 | ! Initialisation des traceurs |
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| 230 | ! --------------------------- |
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| 231 | ! Choix du nombre de traceurs et du schema pour l'advection |
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| 232 | ! dans fichier traceur.def, par default ou via INCA |
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| 233 | call infotrac_init |
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| 234 | |
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| 235 | ! Allocation de la tableau q : champs advectes |
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| 236 | allocate(q(ip1jmp1,llm,nqtot)) |
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| 237 | |
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| 238 | !----------------------------------------------------------------------- |
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| 239 | ! Lecture de l'etat initial : |
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| 240 | ! --------------------------- |
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| 241 | |
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| 242 | ! lecture du fichier start.nc |
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| 243 | if (read_start) then |
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| 244 | ! we still need to run iniacademic to initialize some |
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| 245 | ! constants & fields, if we run the 'newtonian' or 'SW' cases: |
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| 246 | if (iflag_phys.ne.1) then |
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| 247 | CALL iniacademic(vcov,ucov,teta,q,masse,ps,phis,time_0) |
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| 248 | endif |
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| 249 | |
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| 250 | ! if (planet_type.eq."earth") then |
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| 251 | ! Load an Earth-format start file |
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| 252 | CALL dynetat0("start.nc",vcov,ucov, & |
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| 253 | teta,q,masse,ps,phis, time_0) |
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| 254 | ! endif ! of if (planet_type.eq."earth") |
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| 255 | |
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| 256 | ! write(73,*) 'ucov',ucov |
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| 257 | ! write(74,*) 'vcov',vcov |
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| 258 | ! write(75,*) 'teta',teta |
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| 259 | ! write(76,*) 'ps',ps |
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| 260 | ! write(77,*) 'q',q |
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| 261 | |
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| 262 | endif ! of if (read_start) |
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| 263 | |
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| 264 | IF (type_trac == 'inca') THEN |
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| 265 | #ifdef INCA |
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| 266 | call init_inca_dim(klon,llm,iim,jjm, & |
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| 267 | rlonu,rlatu,rlonv,rlatv) |
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| 268 | #endif |
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| 269 | END IF |
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| 270 | |
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| 271 | |
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| 272 | ! le cas echeant, creation d un etat initial |
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| 273 | IF (prt_level > 9) WRITE(lunout,*) & |
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| 274 | 'GCM: AVANT iniacademic AVANT AVANT AVANT AVANT' |
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| 275 | if (.not.read_start) then |
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| 276 | CALL iniacademic(vcov,ucov,teta,q,masse,ps,phis,time_0) |
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| 277 | endif |
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| 278 | |
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| 279 | |
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| 280 | !----------------------------------------------------------------------- |
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| 281 | ! Lecture des parametres de controle pour la simulation : |
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| 282 | ! ------------------------------------------------------- |
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| 283 | ! on recalcule eventuellement le pas de temps |
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| 284 | |
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| 285 | IF(MOD(day_step,iperiod).NE.0) THEN |
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| 286 | abort_message = & |
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| 287 | 'Il faut choisir un nb de pas par jour multiple de iperiod' |
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| 288 | call abort_gcm(modname,abort_message,1) |
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| 289 | ENDIF |
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| 290 | |
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| 291 | IF(MOD(day_step,iphysiq).NE.0) THEN |
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| 292 | abort_message = & |
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| 293 | 'Il faut choisir un nb de pas par jour multiple de iphysiq' |
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| 294 | call abort_gcm(modname,abort_message,1) |
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| 295 | ENDIF |
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| 296 | |
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| 297 | zdtvr = daysec/REAL(day_step) |
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| 298 | IF(dtvr.NE.zdtvr) THEN |
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| 299 | WRITE(lunout,*) & |
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| 300 | 'WARNING!!! changement de pas de temps',dtvr,'>',zdtvr |
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| 301 | ENDIF |
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| 302 | |
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| 303 | ! |
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| 304 | ! on remet le calendrier \`a zero si demande |
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| 305 | ! |
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| 306 | IF (start_time /= starttime) then |
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| 307 | WRITE(lunout,*)' GCM: Attention l''heure de depart lue dans le' & |
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| 308 | ,' fichier restart ne correspond pas a celle lue dans le run.def' |
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| 309 | IF (raz_date == 1) then |
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| 310 | WRITE(lunout,*)'Je prends l''heure lue dans run.def' |
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| 311 | start_time = starttime |
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| 312 | ELSE |
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| 313 | call abort_gcm("gcm", "'Je m''arrete'", 1) |
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| 314 | ENDIF |
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| 315 | ENDIF |
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| 316 | IF (raz_date == 1) THEN |
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| 317 | annee_ref = anneeref |
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| 318 | day_ref = dayref |
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| 319 | day_ini = dayref |
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| 320 | itau_dyn = 0 |
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| 321 | itau_phy = 0 |
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| 322 | time_0 = 0. |
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| 323 | write(lunout,*) & |
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| 324 | 'GCM: On reinitialise a la date lue dans gcm.def' |
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| 325 | ELSE IF (annee_ref .ne. anneeref .or. day_ref .ne. dayref) THEN |
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| 326 | write(lunout,*) & |
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| 327 | 'GCM: Attention les dates initiales lues dans le fichier' |
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| 328 | write(lunout,*) & |
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| 329 | ' restart ne correspondent pas a celles lues dans ' |
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| 330 | write(lunout,*)' gcm.def' |
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| 331 | write(lunout,*)' annee_ref=',annee_ref," anneeref=",anneeref |
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| 332 | write(lunout,*)' day_ref=',day_ref," dayref=",dayref |
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| 333 | write(lunout,*)' Pas de remise a zero' |
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| 334 | ENDIF |
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| 335 | |
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| 336 | ! if (annee_ref .ne. anneeref .or. day_ref .ne. dayref) then |
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| 337 | ! write(lunout,*) |
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| 338 | ! . 'GCM: Attention les dates initiales lues dans le fichier' |
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| 339 | ! write(lunout,*) |
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| 340 | ! . ' restart ne correspondent pas a celles lues dans ' |
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| 341 | ! write(lunout,*)' gcm.def' |
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| 342 | ! write(lunout,*)' annee_ref=',annee_ref," anneeref=",anneeref |
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| 343 | ! write(lunout,*)' day_ref=',day_ref," dayref=",dayref |
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| 344 | ! if (raz_date .ne. 1) then |
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| 345 | ! write(lunout,*) |
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| 346 | ! . 'GCM: On garde les dates du fichier restart' |
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| 347 | ! else |
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| 348 | ! annee_ref = anneeref |
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| 349 | ! day_ref = dayref |
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| 350 | ! day_ini = dayref |
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| 351 | ! itau_dyn = 0 |
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| 352 | ! itau_phy = 0 |
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| 353 | ! time_0 = 0. |
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| 354 | ! write(lunout,*) |
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| 355 | ! . 'GCM: On reinitialise a la date lue dans gcm.def' |
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| 356 | ! endif |
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| 357 | ! ELSE |
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| 358 | ! raz_date = 0 |
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| 359 | ! endif |
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| 360 | |
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| 361 | #ifdef CPP_IOIPSL |
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| 362 | mois = 1 |
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| 363 | heure = 0. |
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| 364 | call ymds2ju(annee_ref, mois, day_ref, heure, jD_ref) |
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| 365 | jH_ref = jD_ref - int(jD_ref) |
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| 366 | jD_ref = int(jD_ref) |
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| 367 | |
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| 368 | call ioconf_startdate(INT(jD_ref), jH_ref) |
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| 369 | |
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| 370 | write(lunout,*)'DEBUG' |
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| 371 | write(lunout,*)'annee_ref, mois, day_ref, heure, jD_ref' |
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| 372 | write(lunout,*)annee_ref, mois, day_ref, heure, jD_ref |
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| 373 | call ju2ymds(jD_ref+jH_ref,an, mois, jour, heure) |
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| 374 | write(lunout,*)'jD_ref+jH_ref,an, mois, jour, heure' |
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| 375 | write(lunout,*)jD_ref+jH_ref,an, mois, jour, heure |
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| 376 | #else |
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| 377 | ! Ehouarn: we still need to define JD_ref and JH_ref |
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| 378 | ! and since we don't know how many days there are in a year |
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| 379 | ! we set JD_ref to 0 (this should be improved ...) |
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| 380 | jD_ref=0 |
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| 381 | jH_ref=0 |
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| 382 | #endif |
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| 383 | |
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| 384 | |
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| 385 | if (iflag_phys.eq.1) then |
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| 386 | ! these initialisations have already been done (via iniacademic) |
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| 387 | ! if running in SW or Newtonian mode |
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| 388 | !----------------------------------------------------------------------- |
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| 389 | ! Initialisation des constantes dynamiques : |
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| 390 | ! ------------------------------------------ |
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| 391 | dtvr = zdtvr |
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| 392 | CALL iniconst |
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| 393 | |
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| 394 | !----------------------------------------------------------------------- |
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| 395 | ! Initialisation de la geometrie : |
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| 396 | ! -------------------------------- |
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| 397 | CALL inigeom |
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| 398 | |
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| 399 | !----------------------------------------------------------------------- |
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| 400 | ! Initialisation du filtre : |
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| 401 | ! -------------------------- |
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| 402 | CALL inifilr |
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| 403 | endif ! of if (iflag_phys.eq.1) |
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| 404 | ! |
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| 405 | !----------------------------------------------------------------------- |
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| 406 | ! Initialisation de la dissipation : |
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| 407 | ! ---------------------------------- |
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| 408 | |
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| 409 | CALL inidissip( lstardis, nitergdiv, nitergrot, niterh , & |
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| 410 | tetagdiv, tetagrot , tetatemp, vert_prof_dissip) |
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| 411 | |
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| 412 | !----------------------------------------------------------------------- |
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| 413 | ! Initialisation de la physique : |
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| 414 | ! ------------------------------- |
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| 415 | |
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| 416 | IF ((iflag_phys==1).or.(iflag_phys>=100)) THEN |
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| 417 | ! Physics: |
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| 418 | #ifdef CPP_PHYS |
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| 419 | CALL iniphysiq(iim,jjm,llm,daysec,day_ini,dtphys/nsplit_phys, & |
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| 420 | rlatu,rlatv,rlonu,rlonv,aire,cu,cv,rad,g,r,cpp, & |
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| 421 | iflag_phys) |
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| 422 | #endif |
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| 423 | ENDIF ! of IF ((iflag_phys==1).or.(iflag_phys>=100)) |
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| 424 | |
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| 425 | ! numero de stockage pour les fichiers de redemarrage: |
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| 426 | |
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| 427 | !----------------------------------------------------------------------- |
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| 428 | ! Initialisation des I/O : |
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| 429 | ! ------------------------ |
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| 430 | |
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| 431 | |
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| 432 | if (nday>=0) then |
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| 433 | day_end = day_ini + nday |
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| 434 | else |
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| 435 | day_end = day_ini - nday/day_step |
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| 436 | endif |
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| 437 | WRITE(lunout,300)day_ini,day_end |
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| 438 | 300 FORMAT('1'/,15x,'run du jour',i7,2x,'au jour',i7//) |
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| 439 | |
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| 440 | #ifdef CPP_IOIPSL |
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| 441 | call ju2ymds(jD_ref + day_ini - day_ref, an, mois, jour, heure) |
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| 442 | write (lunout,301)jour, mois, an |
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| 443 | call ju2ymds(jD_ref + day_end - day_ref, an, mois, jour, heure) |
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| 444 | write (lunout,302)jour, mois, an |
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| 445 | 301 FORMAT('1'/,15x,'run du ', i2,'/',i2,'/',i4) |
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| 446 | 302 FORMAT('1'/,15x,' au ', i2,'/',i2,'/',i4) |
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| 447 | #endif |
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| 448 | |
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| 449 | ! if (planet_type.eq."earth") then |
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| 450 | ! Write an Earth-format restart file |
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| 451 | |
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| 452 | CALL dynredem0("restart.nc", day_end, phis) |
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| 453 | ! endif |
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| 454 | |
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| 455 | ecripar = .TRUE. |
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| 456 | |
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| 457 | #ifdef CPP_IOIPSL |
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| 458 | time_step = zdtvr |
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| 459 | if (ok_dyn_ins) then |
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| 460 | ! initialize output file for instantaneous outputs |
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| 461 | ! t_ops = iecri * daysec ! do operations every t_ops |
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| 462 | t_ops =((1.0*iecri)/day_step) * daysec |
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| 463 | t_wrt = daysec ! iecri * daysec ! write output every t_wrt |
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| 464 | CALL inithist(day_ref,annee_ref,time_step, & |
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| 465 | t_ops,t_wrt) |
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| 466 | endif |
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| 467 | |
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| 468 | IF (ok_dyn_ave) THEN |
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| 469 | ! initialize output file for averaged outputs |
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| 470 | t_ops = iperiod * time_step ! do operations every t_ops |
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| 471 | t_wrt = periodav * daysec ! write output every t_wrt |
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| 472 | CALL initdynav(day_ref,annee_ref,time_step, & |
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| 473 | t_ops,t_wrt) |
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| 474 | END IF |
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| 475 | dtav = iperiod*dtvr/daysec |
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| 476 | #endif |
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| 477 | ! #endif of #ifdef CPP_IOIPSL |
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| 478 | |
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| 479 | ! Choix des frequences de stokage pour le offline |
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| 480 | ! istdyn=day_step/4 ! stockage toutes les 6h=1jour/4 |
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| 481 | ! istdyn=day_step/12 ! stockage toutes les 2h=1jour/12 |
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| 482 | istdyn=day_step/4 ! stockage toutes les 6h=1jour/12 |
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| 483 | istphy=istdyn/iphysiq |
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| 484 | |
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| 485 | |
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| 486 | ! |
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| 487 | !----------------------------------------------------------------------- |
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| 488 | ! Integration temporelle du modele : |
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| 489 | ! ---------------------------------- |
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| 490 | |
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| 491 | ! write(78,*) 'ucov',ucov |
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| 492 | ! write(78,*) 'vcov',vcov |
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| 493 | ! write(78,*) 'teta',teta |
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| 494 | ! write(78,*) 'ps',ps |
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| 495 | ! write(78,*) 'q',q |
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| 496 | |
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| 497 | |
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| 498 | CALL leapfrog(ucov,vcov,teta,ps,masse,phis,q,time_0) |
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| 499 | |
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| 500 | END PROGRAM gcm |
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