[1] | 1 | ! |
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| 2 | ! $Id: calltherm.F90 1795 2013-07-18 08:20:28Z emillour $ |
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| 3 | ! |
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| 4 | subroutine calltherm(dtime & |
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| 5 | & ,pplay,paprs,pphi,weak_inversion & |
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| 6 | & ,u_seri,v_seri,t_seri,q_seri,zqsat,debut & |
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| 7 | & ,d_u_ajs,d_v_ajs,d_t_ajs,d_q_ajs & |
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| 8 | & ,fm_therm,entr_therm,detr_therm,zqasc,clwcon0,lmax,ratqscth, & |
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| 9 | & ratqsdiff,zqsatth,Ale_bl,Alp_bl,lalim_conv,wght_th, & |
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| 10 | & zmax0,f0,zw2,fraca,ztv,zpspsk,ztla,zthl & |
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| 11 | !!! nrlmd le 10/04/2012 |
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| 12 | & ,pbl_tke,pctsrf,omega,airephy & |
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| 13 | & ,zlcl_th,fraca0,w0,w_conv,therm_tke_max0,env_tke_max0 & |
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| 14 | & ,n2,s2,ale_bl_stat & |
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| 15 | & ,therm_tke_max,env_tke_max & |
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| 16 | & ,alp_bl_det,alp_bl_fluct_m,alp_bl_fluct_tke & |
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| 17 | & ,alp_bl_conv,alp_bl_stat & |
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| 18 | !!! fin nrlmd le 10/04/2012 |
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| 19 | & ,zqla,ztva ) |
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| 20 | |
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| 21 | USE dimphy |
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| 22 | USE indice_sol_mod |
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| 23 | |
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| 24 | implicit none |
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| 25 | #include "dimensions.h" |
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| 26 | !#include "dimphy.h" |
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| 27 | #include "thermcell.h" |
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| 28 | #include "iniprint.h" |
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| 29 | |
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| 30 | |
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| 31 | !IM 140508 |
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| 32 | INTEGER, SAVE :: itap |
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| 33 | !$OMP THREADPRIVATE(itap) |
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| 34 | REAL dtime |
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| 35 | LOGICAL debut |
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| 36 | LOGICAL logexpr0, logexpr2(klon,klev), logexpr1(klon) |
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| 37 | REAL fact(klon) |
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| 38 | INTEGER nbptspb |
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| 39 | |
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| 40 | REAL u_seri(klon,klev),v_seri(klon,klev) |
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| 41 | REAL t_seri(klon,klev),q_seri(klon,klev),qmemoire(klon,klev) |
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| 42 | REAL weak_inversion(klon) |
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| 43 | REAL paprs(klon,klev+1) |
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| 44 | REAL pplay(klon,klev) |
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| 45 | REAL pphi(klon,klev) |
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| 46 | real zlev(klon,klev+1) |
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| 47 | !test: on sort lentr et a* pour alimenter KE |
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| 48 | REAL wght_th(klon,klev) |
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| 49 | INTEGER lalim_conv(klon) |
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| 50 | REAL zw2(klon,klev+1),fraca(klon,klev+1) |
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| 51 | |
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| 52 | !FH Update Thermiques |
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| 53 | REAL d_t_ajs(klon,klev), d_q_ajs(klon,klev) |
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| 54 | REAL d_u_ajs(klon,klev),d_v_ajs(klon,klev) |
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| 55 | real fm_therm(klon,klev+1) |
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| 56 | real entr_therm(klon,klev),detr_therm(klon,klev) |
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| 57 | |
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| 58 | !******************************************************** |
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| 59 | ! declarations |
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| 60 | LOGICAL flag_bidouille_stratocu |
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| 61 | real fmc_therm(klon,klev+1),zqasc(klon,klev) |
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| 62 | real zqla(klon,klev) |
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| 63 | real zqta(klon,klev) |
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| 64 | real ztv(klon,klev),ztva(klon,klev) |
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| 65 | real zpspsk(klon,klev) |
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| 66 | real ztla(klon,klev) |
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| 67 | real zthl(klon,klev) |
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| 68 | real wmax_sec(klon) |
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| 69 | real zmax_sec(klon) |
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| 70 | real f_sec(klon) |
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| 71 | real detrc_therm(klon,klev) |
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| 72 | ! FH WARNING : il semble que ces save ne servent a rien |
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| 73 | ! save fmc_therm, detrc_therm |
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| 74 | real clwcon0(klon,klev) |
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| 75 | real zqsat(klon,klev) |
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| 76 | real zw_sec(klon,klev+1) |
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| 77 | integer lmix_sec(klon) |
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| 78 | integer lmax(klon) |
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| 79 | real ratqscth(klon,klev) |
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| 80 | real ratqsdiff(klon,klev) |
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| 81 | real zqsatth(klon,klev) |
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| 82 | !nouvelles variables pour la convection |
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| 83 | real Ale_bl(klon) |
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| 84 | real Alp_bl(klon) |
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| 85 | real Ale(klon) |
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| 86 | real Alp(klon) |
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| 87 | !RC |
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| 88 | !on garde le zmax du pas de temps precedent |
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| 89 | real zmax0(klon), f0(klon) |
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| 90 | |
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| 91 | !!! nrlmd le 10/04/2012 |
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| 92 | real pbl_tke(klon,klev+1,nbsrf) |
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| 93 | real pctsrf(klon,nbsrf) |
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| 94 | real omega(klon,klev) |
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| 95 | real airephy(klon) |
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| 96 | real zlcl_th(klon),fraca0(klon),w0(klon),w_conv(klon) |
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| 97 | real therm_tke_max0(klon),env_tke_max0(klon) |
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| 98 | real n2(klon),s2(klon) |
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| 99 | real ale_bl_stat(klon) |
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| 100 | real therm_tke_max(klon,klev),env_tke_max(klon,klev) |
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| 101 | real alp_bl_det(klon),alp_bl_fluct_m(klon),alp_bl_fluct_tke(klon),alp_bl_conv(klon),alp_bl_stat(klon) |
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| 102 | !!! fin nrlmd le 10/04/2012 |
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| 103 | |
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| 104 | !******************************************************** |
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| 105 | |
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| 106 | |
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| 107 | ! variables locales |
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| 108 | REAL d_t_the(klon,klev), d_q_the(klon,klev) |
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| 109 | REAL d_u_the(klon,klev),d_v_the(klon,klev) |
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| 110 | ! |
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| 111 | real zfm_therm(klon,klev+1),zdt |
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| 112 | real zentr_therm(klon,klev),zdetr_therm(klon,klev) |
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| 113 | ! FH A VERIFIER : SAVE INUTILES |
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| 114 | ! save zentr_therm,zfm_therm |
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| 115 | |
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| 116 | character (len=20) :: modname='calltherm' |
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| 117 | character (len=80) :: abort_message |
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| 118 | |
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| 119 | integer i,k |
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| 120 | logical, save :: first=.true. |
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| 121 | !$OMP THREADPRIVATE(first) |
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| 122 | !******************************************************** |
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| 123 | if (first) then |
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| 124 | itap=0 |
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| 125 | first=.false. |
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| 126 | endif |
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| 127 | |
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[179] | 128 | ! L. Fita, LMD July 2014. Initializing tendencies and variables (should |
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| 129 | ! be done?) |
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| 130 | ! d_t_the = 0. |
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| 131 | ! d_q_the = 0. |
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| 132 | ! d_u_the = 0. |
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| 133 | ! d_v_the = 0. |
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| 134 | ! Alp = 0. |
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| 135 | ! Ale = 0. |
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[142] | 136 | |
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[1] | 137 | ! Incrementer le compteur de la physique |
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| 138 | itap = itap + 1 |
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| 139 | |
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| 140 | ! Modele du thermique |
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| 141 | ! =================== |
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| 142 | ! print*,'thermiques: WARNING on passe t au lieu de t_seri' |
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| 143 | |
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| 144 | ! On prend comme valeur initiale des thermiques la valeur du pas |
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| 145 | ! de temps precedent |
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| 146 | zfm_therm(:,:)=fm_therm(:,:) |
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| 147 | zdetr_therm(:,:)=detr_therm(:,:) |
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| 148 | zentr_therm(:,:)=entr_therm(:,:) |
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| 149 | |
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| 150 | ! On reinitialise les flux de masse a zero pour le cumul en |
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| 151 | ! cas de splitting |
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| 152 | fm_therm(:,:)=0. |
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| 153 | entr_therm(:,:)=0. |
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| 154 | detr_therm(:,:)=0. |
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| 155 | |
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| 156 | Ale_bl(:)=0. |
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| 157 | Alp_bl(:)=0. |
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| 158 | if (prt_level.ge.10) then |
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| 159 | print*,'thermV4 nsplit: ',nsplit_thermals,' weak_inversion' |
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| 160 | endif |
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| 161 | |
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| 162 | ! tests sur les valeurs negatives de l'eau |
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| 163 | logexpr0=prt_level.ge.10 |
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| 164 | nbptspb=0 |
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| 165 | do k=1,klev |
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| 166 | do i=1,klon |
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| 167 | ! Attention teste abderr 19-03-09 |
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| 168 | ! logexpr2(i,k)=.not.q_seri(i,k).ge.0. |
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| 169 | logexpr2(i,k)=.not.q_seri(i,k).ge.1.e-15 |
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| 170 | if (logexpr2(i,k)) then |
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| 171 | q_seri(i,k)=1.e-15 |
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| 172 | nbptspb=nbptspb+1 |
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| 173 | endif |
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| 174 | ! if (logexpr0) & |
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| 175 | ! & print*,'WARN eau<0 avant therm i=',i,' k=',k & |
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| 176 | ! & ,' dq,q',d_q_the(i,k),q_seri(i,k) |
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| 177 | enddo |
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| 178 | enddo |
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| 179 | if(nbptspb.GT.0) print*,'Number of points with q_seri(i,k)<=0 ',nbptspb |
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| 180 | |
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| 181 | zdt=dtime/REAL(nsplit_thermals) |
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| 182 | do isplit=1,nsplit_thermals |
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| 183 | |
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| 184 | if (iflag_thermals.eq.1) then |
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| 185 | CALL thermcell_2002(klon,klev,zdt & |
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| 186 | & ,pplay,paprs,pphi & |
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| 187 | & ,u_seri,v_seri,t_seri,q_seri & |
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| 188 | & ,d_u_the,d_v_the,d_t_the,d_q_the & |
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| 189 | & ,zfm_therm,zentr_therm & |
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| 190 | & ,r_aspect_thermals,30.,w2di_thermals & |
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| 191 | & ,tau_thermals) |
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| 192 | else if (iflag_thermals.eq.2) then |
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| 193 | CALL thermcell_sec(klon,klev,zdt & |
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| 194 | & ,pplay,paprs,pphi,zlev & |
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| 195 | & ,u_seri,v_seri,t_seri,q_seri & |
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| 196 | & ,d_u_the,d_v_the,d_t_the,d_q_the & |
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| 197 | & ,zfm_therm,zentr_therm & |
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| 198 | & ,r_aspect_thermals,30.,w2di_thermals & |
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| 199 | & ,tau_thermals) |
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| 200 | else if (iflag_thermals.eq.3) then |
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| 201 | CALL thermcell(klon,klev,zdt & |
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| 202 | & ,pplay,paprs,pphi & |
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| 203 | & ,u_seri,v_seri,t_seri,q_seri & |
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| 204 | & ,d_u_the,d_v_the,d_t_the,d_q_the & |
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| 205 | & ,zfm_therm,zentr_therm & |
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| 206 | & ,r_aspect_thermals,l_mix_thermals,w2di_thermals & |
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| 207 | & ,tau_thermals) |
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| 208 | else if (iflag_thermals.eq.10) then |
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| 209 | CALL thermcell_eau(klon,klev,zdt & |
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| 210 | & ,pplay,paprs,pphi & |
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| 211 | & ,u_seri,v_seri,t_seri,q_seri & |
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| 212 | & ,d_u_the,d_v_the,d_t_the,d_q_the & |
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| 213 | & ,zfm_therm,zentr_therm & |
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| 214 | & ,r_aspect_thermals,l_mix_thermals,w2di_thermals & |
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| 215 | & ,tau_thermals) |
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| 216 | else if (iflag_thermals.eq.11) then |
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| 217 | abort_message = 'cas non prevu dans calltherm' |
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| 218 | CALL abort_gcm (modname,abort_message,1) |
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| 219 | |
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| 220 | ! CALL thermcell_pluie(klon,klev,zdt & |
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| 221 | ! & ,pplay,paprs,pphi,zlev & |
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| 222 | ! & ,u_seri,v_seri,t_seri,q_seri & |
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| 223 | ! & ,d_u_the,d_v_the,d_t_the,d_q_the & |
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| 224 | ! & ,zfm_therm,zentr_therm,zqla & |
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| 225 | ! & ,r_aspect_thermals,l_mix_thermals,w2di_thermals & |
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| 226 | ! & ,tau_thermals,3) |
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| 227 | else if (iflag_thermals.eq.12) then |
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| 228 | CALL calcul_sec(klon,klev,zdt & |
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| 229 | & ,pplay,paprs,pphi,zlev & |
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| 230 | & ,u_seri,v_seri,t_seri,q_seri & |
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| 231 | & ,zmax_sec,wmax_sec,zw_sec,lmix_sec & |
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| 232 | & ,r_aspect_thermals,l_mix_thermals,w2di_thermals & |
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| 233 | & ,tau_thermals) |
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| 234 | else if (iflag_thermals==13.or.iflag_thermals==14) then |
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| 235 | CALL thermcellV0_main(itap,klon,klev,zdt & |
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| 236 | & ,pplay,paprs,pphi,debut & |
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| 237 | & ,u_seri,v_seri,t_seri,q_seri & |
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| 238 | & ,d_u_the,d_v_the,d_t_the,d_q_the & |
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| 239 | & ,zfm_therm,zentr_therm,zdetr_therm,zqasc,zqla,lmax & |
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| 240 | & ,ratqscth,ratqsdiff,zqsatth & |
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| 241 | & ,r_aspect_thermals,l_mix_thermals & |
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| 242 | & ,tau_thermals,Ale,Alp,lalim_conv,wght_th & |
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| 243 | & ,zmax0,f0,zw2,fraca) |
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| 244 | else if (iflag_thermals>=15.and.iflag_thermals<=18) then |
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| 245 | |
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| 246 | ! print*,'THERM iflag_thermas_ed=',iflag_thermals_ed |
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[142] | 247 | |
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[1] | 248 | CALL thermcell_main(itap,klon,klev,zdt & |
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| 249 | & ,pplay,paprs,pphi,debut & |
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| 250 | & ,u_seri,v_seri,t_seri,q_seri & |
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| 251 | & ,d_u_the,d_v_the,d_t_the,d_q_the & |
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| 252 | & ,zfm_therm,zentr_therm,zdetr_therm,zqasc,zqla,lmax & |
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| 253 | & ,ratqscth,ratqsdiff,zqsatth & |
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| 254 | ! & ,r_aspect_thermals,l_mix_thermals & |
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| 255 | ! & ,tau_thermals,iflag_thermals_ed,iflag_coupl & |
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| 256 | & ,Ale,Alp,lalim_conv,wght_th & |
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| 257 | & ,zmax0,f0,zw2,fraca,ztv,zpspsk & |
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| 258 | & ,ztla,zthl & |
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| 259 | !!! nrlmd le 10/04/2012 |
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| 260 | & ,pbl_tke,pctsrf,omega,airephy & |
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| 261 | & ,zlcl_th,fraca0,w0,w_conv,therm_tke_max0,env_tke_max0 & |
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| 262 | & ,n2,s2,ale_bl_stat & |
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| 263 | & ,therm_tke_max,env_tke_max & |
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| 264 | & ,alp_bl_det,alp_bl_fluct_m,alp_bl_fluct_tke & |
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| 265 | & ,alp_bl_conv,alp_bl_stat & |
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| 266 | !!! fin nrlmd le 10/04/2012 |
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| 267 | & ,ztva ) |
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| 268 | if (prt_level.gt.10) write(lunout,*)'Apres thermcell_main OK' |
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| 269 | else |
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| 270 | abort_message = 'Cas des thermiques non prevu' |
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| 271 | CALL abort_gcm (modname,abort_message,1) |
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| 272 | endif |
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| 273 | |
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| 274 | ! Attention : les noms sont contre intuitif. |
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| 275 | ! flag_bidouille_stratocu est .true. si on ne fait pas de bidouille. |
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| 276 | ! Il aurait mieux valu avoir un nobidouille_stratocu |
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| 277 | ! Et pour simplifier : |
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| 278 | ! nobidouille_stratocu=.not.(iflag_thermals==13.or.iflag_thermals=15) |
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| 279 | ! Ce serait bien de changer, mai en prenant le temps de vérifier que ca |
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| 280 | ! fait bien ce qu'on croit. |
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| 281 | flag_bidouille_stratocu=iflag_thermals<=12.or.iflag_thermals==14.or.iflag_thermals==16.or.iflag_thermals==18 |
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| 282 | |
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| 283 | if (iflag_thermals<=12) then |
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| 284 | lmax=1 |
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| 285 | do k=1,klev-1 |
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| 286 | zdetr_therm(:,k)=zentr_therm(:,k)+zfm_therm(:,k)-zfm_therm(:,k+1) |
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| 287 | enddo |
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| 288 | endif |
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| 289 | |
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| 290 | fact(:)=0. |
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| 291 | DO i=1,klon |
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| 292 | logexpr1(i)=flag_bidouille_stratocu.or.weak_inversion(i).gt.0.5 |
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| 293 | IF(logexpr1(i)) fact(i)=1./REAL(nsplit_thermals) |
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| 294 | ENDDO |
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| 295 | |
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| 296 | DO k=1,klev |
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| 297 | ! transformation de la derivee en tendance |
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| 298 | d_t_the(:,k)=d_t_the(:,k)*dtime*fact(:) |
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| 299 | d_u_the(:,k)=d_u_the(:,k)*dtime*fact(:) |
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| 300 | d_v_the(:,k)=d_v_the(:,k)*dtime*fact(:) |
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| 301 | d_q_the(:,k)=d_q_the(:,k)*dtime*fact(:) |
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| 302 | fm_therm(:,k)=fm_therm(:,k) & |
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| 303 | & +zfm_therm(:,k)*fact(:) |
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| 304 | entr_therm(:,k)=entr_therm(:,k) & |
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| 305 | & +zentr_therm(:,k)*fact(:) |
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| 306 | detr_therm(:,k)=detr_therm(:,k) & |
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| 307 | & +zdetr_therm(:,k)*fact(:) |
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| 308 | ENDDO |
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| 309 | fm_therm(:,klev+1)=0. |
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| 310 | |
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| 311 | ! accumulation de la tendance |
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| 312 | d_t_ajs(:,:)=d_t_ajs(:,:)+d_t_the(:,:) |
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| 313 | d_u_ajs(:,:)=d_u_ajs(:,:)+d_u_the(:,:) |
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| 314 | d_v_ajs(:,:)=d_v_ajs(:,:)+d_v_the(:,:) |
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| 315 | d_q_ajs(:,:)=d_q_ajs(:,:)+d_q_the(:,:) |
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| 316 | |
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| 317 | ! incrementation des variables meteo |
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| 318 | t_seri(:,:) = t_seri(:,:) + d_t_the(:,:) |
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| 319 | u_seri(:,:) = u_seri(:,:) + d_u_the(:,:) |
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| 320 | v_seri(:,:) = v_seri(:,:) + d_v_the(:,:) |
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| 321 | qmemoire(:,:)=q_seri(:,:) |
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| 322 | q_seri(:,:) = q_seri(:,:) + d_q_the(:,:) |
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| 323 | if (prt_level.gt.10) write(lunout,*)'Apres apres thermcell_main OK' |
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| 324 | |
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| 325 | DO i=1,klon |
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| 326 | fm_therm(i,klev+1)=0. |
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| 327 | Ale_bl(i)=Ale_bl(i)+Ale(i)/REAL(nsplit_thermals) |
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| 328 | ! write(22,*)'ALE CALLTHERM',Ale_bl(i),Ale(i) |
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| 329 | Alp_bl(i)=Alp_bl(i)+Alp(i)/REAL(nsplit_thermals) |
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| 330 | ! write(23,*)'ALP CALLTHERM',Alp_bl(i),Alp(i) |
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| 331 | if(prt_level.GE.10) print*,'calltherm i Alp_bl Alp Ale_bl Ale',i,Alp_bl(i),Alp(i),Ale_bl(i),Ale(i) |
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| 332 | ENDDO |
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| 333 | |
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| 334 | !IM 060508 marche pas comme cela !!! enddo ! isplit |
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| 335 | |
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| 336 | ! tests sur les valeurs negatives de l'eau |
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| 337 | nbptspb=0 |
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| 338 | DO k = 1, klev |
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| 339 | DO i = 1, klon |
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| 340 | logexpr2(i,k)=.not.q_seri(i,k).ge.0. |
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| 341 | if (logexpr2(i,k)) then |
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| 342 | q_seri(i,k)=1.e-15 |
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| 343 | nbptspb=nbptspb+1 |
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| 344 | ! if (prt_level.ge.10) then |
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| 345 | ! print*,'WARN eau<0 apres therm i=',i,' k=',k & |
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| 346 | ! & ,' dq,q',d_q_the(i,k),q_seri(i,k), & |
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| 347 | ! & 'fm=',zfm_therm(i,k),'entr=',entr_therm(i,k) |
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| 348 | endif |
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| 349 | ENDDO |
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| 350 | ENDDO |
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| 351 | IF(nbptspb.GT.0) print*,'Number of points with q_seri(i,k)<=0 ',nbptspb |
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| 352 | ! tests sur les valeurs de la temperature |
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| 353 | nbptspb=0 |
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| 354 | DO k = 1, klev |
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| 355 | DO i = 1, klon |
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| 356 | logexpr2(i,k)=t_seri(i,k).lt.50..or.t_seri(i,k).gt.370. |
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| 357 | if (logexpr2(i,k)) nbptspb=nbptspb+1 |
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| 358 | ! if ((t_seri(i,k).lt.50.) .or. & |
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| 359 | ! & (t_seri(i,k).gt.370.)) then |
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| 360 | ! print*,'WARN temp apres therm i=',i,' k=',k & |
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| 361 | ! & ,' t_seri',t_seri(i,k) |
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| 362 | ! CALL abort |
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| 363 | ! endif |
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| 364 | ENDDO |
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| 365 | ENDDO |
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| 366 | IF(nbptspb.GT.0) print*,'Number of points with q_seri(i,k)<=0 ',nbptspb |
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| 367 | enddo ! isplit |
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| 368 | |
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| 369 | ! |
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| 370 | !*************************************************************** |
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| 371 | ! calcul du flux ascencant conservatif |
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| 372 | ! print*,'<<<<calcul flux ascendant conservatif' |
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| 373 | |
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| 374 | fmc_therm=0. |
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| 375 | do k=1,klev |
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| 376 | do i=1,klon |
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| 377 | if (entr_therm(i,k).gt.0.) then |
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| 378 | fmc_therm(i,k+1)=fmc_therm(i,k)+entr_therm(i,k) |
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| 379 | else |
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| 380 | fmc_therm(i,k+1)=fmc_therm(i,k) |
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| 381 | endif |
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| 382 | detrc_therm(i,k)=(fmc_therm(i,k+1)-fm_therm(i,k+1)) & |
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| 383 | & -(fmc_therm(i,k)-fm_therm(i,k)) |
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| 384 | enddo |
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| 385 | enddo |
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| 386 | |
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| 387 | |
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| 388 | !**************************************************************** |
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| 389 | ! calcul de l'humidite dans l'ascendance |
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| 390 | ! print*,'<<<<calcul de lhumidite dans thermique' |
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| 391 | !CR:on ne le calcule que pour le cas sec |
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| 392 | if (iflag_thermals.le.11) then |
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| 393 | do i=1,klon |
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| 394 | zqasc(i,1)=q_seri(i,1) |
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| 395 | do k=2,klev |
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| 396 | if (fmc_therm(i,k+1).gt.1.e-6) then |
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| 397 | zqasc(i,k)=(fmc_therm(i,k)*zqasc(i,k-1) & |
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| 398 | & +entr_therm(i,k)*q_seri(i,k))/fmc_therm(i,k+1) |
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| 399 | !CR:test on asseche le thermique |
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| 400 | ! zqasc(i,k)=zqasc(i,k)/2. |
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| 401 | ! else |
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| 402 | ! zqasc(i,k)=q_seri(i,k) |
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| 403 | endif |
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| 404 | enddo |
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| 405 | enddo |
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| 406 | |
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| 407 | |
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| 408 | ! calcul de l'eau condensee dans l'ascendance |
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| 409 | ! print*,'<<<<calcul de leau condensee dans thermique' |
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| 410 | do i=1,klon |
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| 411 | do k=1,klev |
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| 412 | clwcon0(i,k)=zqasc(i,k)-zqsat(i,k) |
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| 413 | if (clwcon0(i,k).lt.0. .or. & |
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| 414 | & (fm_therm(i,k+1)+detrc_therm(i,k)).lt.1.e-6) then |
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| 415 | clwcon0(i,k)=0. |
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| 416 | endif |
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| 417 | enddo |
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| 418 | enddo |
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| 419 | else |
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| 420 | do i=1,klon |
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| 421 | do k=1,klev |
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| 422 | clwcon0(i,k)=zqla(i,k) |
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| 423 | if (clwcon0(i,k).lt.0. .or. & |
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| 424 | & (fm_therm(i,k+1)+detrc_therm(i,k)).lt.1.e-6) then |
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| 425 | clwcon0(i,k)=0. |
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| 426 | endif |
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| 427 | enddo |
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| 428 | enddo |
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| 429 | endif |
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| 430 | !******************************************************************* |
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| 431 | |
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| 432 | |
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| 433 | !jyg Protection contre les temperatures nulles |
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| 434 | do i=1,klon |
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| 435 | do k=1,klev |
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| 436 | if (ztla(i,k) .lt. 1.e-10) fraca(i,k) =0. |
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| 437 | enddo |
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| 438 | enddo |
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| 439 | |
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| 440 | |
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| 441 | return |
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| 442 | |
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| 443 | end |
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