1 | MODULE trdmod |
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2 | !!====================================================================== |
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3 | !! *** MODULE trdmod *** |
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4 | !! Ocean diagnostics: ocean tracers and dynamic trends |
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5 | !!===================================================================== |
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6 | !! History : 9.0 ! 04-08 (C. Talandier) Original code |
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7 | !! ! 05-04 (C. Deltel) Add Asselin trend in the ML budget |
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8 | !!---------------------------------------------------------------------- |
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9 | #if defined key_trdtra || defined key_trddyn || defined key_trdmld || defined key_trdvor || defined key_esopa |
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10 | !!---------------------------------------------------------------------- |
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11 | !! trd_mod : Call the trend to be computed |
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12 | !! trd_mod_init : Initialization step |
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13 | !!---------------------------------------------------------------------- |
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14 | USE oce ! ocean dynamics and tracers variables |
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15 | USE dom_oce ! ocean space and time domain variables |
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16 | USE zdf_oce ! ocean vertical physics variables |
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17 | USE trdmod_oce ! ocean variables trends |
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18 | USE ldftra_oce ! ocean active tracers lateral physics |
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19 | USE sbc_oce ! surface boundary condition: ocean |
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20 | USE phycst ! physical constants |
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21 | USE trdvor ! ocean vorticity trends |
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22 | USE trdicp ! ocean bassin integral constraints properties |
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23 | USE trdmld ! ocean active mixed layer tracers trends |
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24 | USE in_out_manager ! I/O manager |
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25 | |
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26 | IMPLICIT NONE |
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27 | PRIVATE |
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28 | |
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29 | REAL(wp) :: r2dt ! time-step, = 2 rdttra except at nit000 (=rdttra) if neuler=0 |
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30 | |
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31 | PUBLIC trd_mod ! called by all dynXX or traXX modules |
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32 | PUBLIC trd_mod_init ! called by opa.F90 module |
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33 | |
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34 | !! * Substitutions |
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35 | # include "domzgr_substitute.h90" |
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36 | # include "vectopt_loop_substitute.h90" |
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37 | !!---------------------------------------------------------------------- |
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38 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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39 | !! $Id$ |
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40 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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41 | !!---------------------------------------------------------------------- |
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42 | |
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43 | CONTAINS |
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44 | |
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45 | SUBROUTINE trd_mod( ptrdx, ptrdy, ktrd, ctype, kt, cnbpas ) |
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46 | !!--------------------------------------------------------------------- |
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47 | !! *** ROUTINE trd_mod *** |
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48 | !! |
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49 | !! ** Purpose : Dispatch all trends computation, e.g. vorticity, mld or |
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50 | !! integral constraints |
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51 | !!---------------------------------------------------------------------- |
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52 | INTEGER, INTENT( in ) :: kt ! time step |
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53 | INTEGER, INTENT( in ) :: ktrd ! tracer trend index |
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54 | CHARACTER(len=3), INTENT( in ) :: ctype ! momentum or tracers trends type 'DYN'/'TRA' |
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55 | CHARACTER(len=3), INTENT( in ), OPTIONAL :: cnbpas ! number of passage |
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56 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: ptrdx ! Temperature or U trend |
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57 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: ptrdy ! Salinity or V trend |
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58 | !! |
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59 | INTEGER :: ji, ikbu, ikbum1 |
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60 | INTEGER :: jj, ikbv, ikbvm1 |
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61 | CHARACTER(len=3) :: ccpas ! number of passage |
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62 | REAL(wp) :: zua, zva ! scalars |
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63 | REAL(wp), DIMENSION(jpi,jpj) :: ztswu, ztswv ! 2D workspace |
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64 | REAL(wp), DIMENSION(jpi,jpj) :: ztbfu, ztbfv ! 2D workspace |
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65 | REAL(wp), DIMENSION(jpi,jpj) :: z2dx, z2dy ! workspace arrays |
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66 | !!---------------------------------------------------------------------- |
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67 | |
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68 | z2dx(:,:) = 0.e0 ; z2dy(:,:) = 0.e0 ! initialization of workspace arrays |
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69 | |
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70 | ! Control of optional arguments |
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71 | ccpas = 'fst' |
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72 | IF( PRESENT(cnbpas) ) ccpas = cnbpas |
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73 | |
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74 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; r2dt = rdt ! = rdtra (restarting with Euler time stepping) |
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75 | ELSEIF( kt <= nit000 + 1) THEN ; r2dt = 2. * rdt ! = 2 rdttra (leapfrog) |
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76 | ENDIF |
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77 | |
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78 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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79 | ! I. Integral Constraints Properties for momentum and/or tracers trends |
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80 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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81 | |
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82 | IF( ( mod(kt,ntrd) == 0 .OR. kt == nit000 .OR. kt == nitend) ) THEN |
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83 | ! |
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84 | IF( lk_trdtra .AND. ctype == 'TRA' ) THEN ! active tracer trends |
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85 | SELECT CASE ( ktrd ) |
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86 | CASE ( jptra_trd_ldf ) ; CALL trd_icp( ptrdx, ptrdy, jpicpt_ldf, ctype ) ! lateral diff |
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87 | CASE ( jptra_trd_zdf ) ; CALL trd_icp( ptrdx, ptrdy, jpicpt_zdf, ctype ) ! vertical diff (Kz) |
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88 | CASE ( jptra_trd_bbc ) ; CALL trd_icp( ptrdx, ptrdy, jpicpt_bbc, ctype ) ! bottom boundary cond |
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89 | CASE ( jptra_trd_bbl ) ; CALL trd_icp( ptrdx, ptrdy, jpicpt_bbl, ctype ) ! bottom boundary layer |
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90 | CASE ( jptra_trd_npc ) ; CALL trd_icp( ptrdx, ptrdy, jpicpt_npc, ctype ) ! static instability mixing |
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91 | CASE ( jptra_trd_dmp ) ; CALL trd_icp( ptrdx, ptrdy, jpicpt_dmp, ctype ) ! damping |
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92 | CASE ( jptra_trd_qsr ) ; CALL trd_icp( ptrdx, ptrdy, jpicpt_qsr, ctype ) ! penetrative solar radiat. |
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93 | CASE ( jptra_trd_nsr ) |
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94 | z2dx(:,:) = ptrdx(:,:,1) ; z2dy(:,:) = ptrdy(:,:,1) |
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95 | CALL trd_icp( z2dx, z2dy, jpicpt_nsr, ctype ) ! non solar radiation |
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96 | CASE ( jptra_trd_xad ) ; CALL trd_icp( ptrdx, ptrdy, jpicpt_xad, ctype ) ! x- horiz adv |
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97 | CASE ( jptra_trd_yad ) ; CALL trd_icp( ptrdx, ptrdy, jpicpt_yad, ctype ) ! y- horiz adv |
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98 | CASE ( jptra_trd_zad ) ! z- vertical adv |
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99 | CALL trd_icp( ptrdx, ptrdy, jpicpt_zad, ctype, clpas=ccpas ) |
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100 | ! compute the surface flux condition wn(:,:,1)*tn(:,:,1) |
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101 | z2dx(:,:) = wn(:,:,1)*tn(:,:,1)/fse3t(:,:,1) |
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102 | z2dy(:,:) = wn(:,:,1)*sn(:,:,1)/fse3t(:,:,1) |
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103 | CALL trd_icp( z2dx , z2dy , jpicpt_zl1, ctype ) ! 1st z- vertical adv |
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104 | END SELECT |
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105 | END IF |
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106 | |
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107 | IF( lk_trddyn .AND. ctype == 'DYN' ) THEN ! momentum trends |
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108 | ! |
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109 | SELECT CASE ( ktrd ) |
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110 | CASE ( jpdyn_trd_hpg ) ; CALL trd_icp( ptrdx, ptrdy, jpicpd_hpg, ctype ) ! hydrost. pressure grad |
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111 | CASE ( jpdyn_trd_keg ) ; CALL trd_icp( ptrdx, ptrdy, jpicpd_keg, ctype ) ! KE gradient |
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112 | CASE ( jpdyn_trd_rvo ) ; CALL trd_icp( ptrdx, ptrdy, jpicpd_rvo, ctype ) ! relative vorticity |
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113 | CASE ( jpdyn_trd_pvo ) ; CALL trd_icp( ptrdx, ptrdy, jpicpd_pvo, ctype ) ! planetary vorticity |
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114 | CASE ( jpdyn_trd_ldf ) ; CALL trd_icp( ptrdx, ptrdy, jpicpd_ldf, ctype ) ! lateral diffusion |
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115 | CASE ( jpdyn_trd_had ) ; CALL trd_icp( ptrdx, ptrdy, jpicpd_had, ctype ) ! horizontal advection |
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116 | CASE ( jpdyn_trd_zad ) ; CALL trd_icp( ptrdx, ptrdy, jpicpd_zad, ctype ) ! vertical advection |
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117 | CASE ( jpdyn_trd_spg ) ; CALL trd_icp( ptrdx, ptrdy, jpicpd_spg, ctype ) ! surface pressure grad. |
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118 | CASE ( jpdyn_trd_dat ) ; CALL trd_icp( ptrdx, ptrdy, jpicpd_dat, ctype ) ! damping term |
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119 | CASE ( jpdyn_trd_zdf ) ! vertical diffusion |
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120 | ! subtract surface forcing/bottom friction trends |
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121 | ! from vertical diffusive momentum trends |
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122 | ztswu(:,:) = 0.e0 ; ztswv(:,:) = 0.e0 |
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123 | ztbfu(:,:) = 0.e0 ; ztbfv(:,:) = 0.e0 |
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124 | DO jj = 2, jpjm1 |
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125 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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126 | ! save the surface forcing momentum fluxes |
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127 | ztswu(ji,jj) = utau(ji,jj) / ( fse3u(ji,jj,1)*rau0 ) |
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128 | ztswv(ji,jj) = vtau(ji,jj) / ( fse3v(ji,jj,1)*rau0 ) |
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129 | ! save bottom friction momentum fluxes |
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130 | ikbu = MIN( mbathy(ji+1,jj ), mbathy(ji,jj) ) |
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131 | ikbv = MIN( mbathy(ji ,jj+1), mbathy(ji,jj) ) |
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132 | ikbum1 = MAX( ikbu-1, 1 ) |
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133 | ikbvm1 = MAX( ikbv-1, 1 ) |
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134 | zua = ua(ji,jj,ikbum1) * r2dt + ub(ji,jj,ikbum1) |
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135 | zva = va(ji,jj,ikbvm1) * r2dt + vb(ji,jj,ikbvm1) |
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136 | ztbfu(ji,jj) = - avmu(ji,jj,ikbu) * zua / ( fse3u(ji,jj,ikbum1)*fse3uw(ji,jj,ikbu) ) |
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137 | ztbfv(ji,jj) = - avmv(ji,jj,ikbv) * zva / ( fse3v(ji,jj,ikbvm1)*fse3vw(ji,jj,ikbv) ) |
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138 | ! |
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139 | ptrdx(ji,jj,1 ) = ptrdx(ji,jj,1 ) - ztswu(ji,jj) |
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140 | ptrdy(ji,jj,1 ) = ptrdy(ji,jj,1 ) - ztswv(ji,jj) |
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141 | ptrdx(ji,jj,ikbum1) = ptrdx(ji,jj,ikbum1) - ztbfu(ji,jj) |
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142 | ptrdy(ji,jj,ikbvm1) = ptrdy(ji,jj,ikbvm1) - ztbfv(ji,jj) |
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143 | END DO |
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144 | END DO |
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145 | ! |
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146 | CALL trd_icp( ptrdx, ptrdy, jpicpd_zdf, ctype ) |
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147 | CALL trd_icp( ztswu, ztswv, jpicpd_swf, ctype ) ! wind stress forcing term |
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148 | CALL trd_icp( ztbfu, ztbfv, jpicpd_bfr, ctype ) ! bottom friction term |
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149 | END SELECT |
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150 | ! |
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151 | END IF |
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152 | ! |
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153 | END IF |
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154 | |
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155 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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156 | ! II. Vorticity trends |
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157 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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158 | |
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159 | IF( lk_trdvor .AND. ctype == 'DYN' ) THEN |
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160 | ! |
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161 | SELECT CASE ( ktrd ) |
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162 | CASE ( jpdyn_trd_hpg ) ; CALL trd_vor_zint( ptrdx, ptrdy, jpvor_prg ) ! Hydrostatique Pressure Gradient |
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163 | CASE ( jpdyn_trd_keg ) ; CALL trd_vor_zint( ptrdx, ptrdy, jpvor_keg ) ! KE Gradient |
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164 | CASE ( jpdyn_trd_rvo ) ; CALL trd_vor_zint( ptrdx, ptrdy, jpvor_rvo ) ! Relative Vorticity |
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165 | CASE ( jpdyn_trd_pvo ) ; CALL trd_vor_zint( ptrdx, ptrdy, jpvor_pvo ) ! Planetary Vorticity Term |
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166 | CASE ( jpdyn_trd_ldf ) ; CALL trd_vor_zint( ptrdx, ptrdy, jpvor_ldf ) ! Horizontal Diffusion |
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167 | CASE ( jpdyn_trd_had ) ; CALL ctl_warn('Vorticity for horizontal advection trend never checked') |
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168 | CASE ( jpdyn_trd_zad ) ; CALL trd_vor_zint( ptrdx, ptrdy, jpvor_zad ) ! Vertical Advection |
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169 | CASE ( jpdyn_trd_spg ) ; CALL trd_vor_zint( ptrdx, ptrdy, jpvor_spg ) ! Surface Pressure Grad. |
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170 | CASE ( jpdyn_trd_dat ) ; CALL trd_vor_zint( ptrdx, ptrdy, jpvor_bev ) ! Beta V |
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171 | CASE ( jpdyn_trd_zdf ) ! Vertical Diffusion |
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172 | ! subtract surface forcing/bottom friction trends |
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173 | ! from vertical diffusive momentum trends |
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174 | ztswu(:,:) = 0.e0 ; ztswv(:,:) = 0.e0 |
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175 | ztbfu(:,:) = 0.e0 ; ztbfv(:,:) = 0.e0 |
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176 | DO jj = 2, jpjm1 |
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177 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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178 | ! save the surface forcing momentum fluxes |
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179 | ztswu(ji,jj) = utau(ji,jj) / ( fse3u(ji,jj,1)*rau0 ) |
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180 | ztswv(ji,jj) = vtau(ji,jj) / ( fse3v(ji,jj,1)*rau0 ) |
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181 | ! save bottom friction momentum fluxes |
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182 | ikbu = MIN( mbathy(ji+1,jj ), mbathy(ji,jj) ) |
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183 | ikbv = MIN( mbathy(ji ,jj+1), mbathy(ji,jj) ) |
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184 | ikbum1 = MAX( ikbu-1, 1 ) |
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185 | ikbvm1 = MAX( ikbv-1, 1 ) |
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186 | zua = ua(ji,jj,ikbum1) * r2dt + ub(ji,jj,ikbum1) |
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187 | zva = va(ji,jj,ikbvm1) * r2dt + vb(ji,jj,ikbvm1) |
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188 | ztbfu(ji,jj) = - avmu(ji,jj,ikbu) * zua / ( fse3u(ji,jj,ikbum1)*fse3uw(ji,jj,ikbu) ) |
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189 | ztbfv(ji,jj) = - avmv(ji,jj,ikbv) * zva / ( fse3v(ji,jj,ikbvm1)*fse3vw(ji,jj,ikbv) ) |
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190 | ! |
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191 | ptrdx(ji,jj,1 ) = ptrdx(ji,jj,1 ) - ztswu(ji,jj) |
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192 | ptrdx(ji,jj,ikbum1) = ptrdx(ji,jj,ikbum1) - ztbfu(ji,jj) |
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193 | ptrdy(ji,jj,1 ) = ptrdy(ji,jj,1 ) - ztswv(ji,jj) |
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194 | ptrdy(ji,jj,ikbvm1) = ptrdy(ji,jj,ikbvm1) - ztbfv(ji,jj) |
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195 | END DO |
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196 | END DO |
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197 | ! |
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198 | CALL trd_vor_zint( ptrdx, ptrdy, jpvor_zdf ) |
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199 | CALL trd_vor_zint( ztswu, ztswv, jpvor_swf ) ! Wind stress forcing term |
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200 | CALL trd_vor_zint( ztbfu, ztbfv, jpvor_bfr ) ! Bottom friction term |
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201 | END SELECT |
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202 | ! |
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203 | ENDIF |
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204 | |
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205 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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206 | ! III. Mixed layer trends for active tracers |
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207 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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208 | |
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209 | IF( lk_trdmld .AND. ctype == 'TRA' ) THEN |
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210 | |
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211 | !----------------------------------------------------------------------------------------------- |
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212 | ! W.A.R.N.I.N.G : |
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213 | ! jptra_trd_ldf : called by traldf.F90 |
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214 | ! at this stage we store: |
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215 | ! - the lateral geopotential diffusion (here, lateral = horizontal) |
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216 | ! - and the iso-neutral diffusion if activated |
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217 | ! jptra_trd_zdf : called by trazdf.F90 |
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218 | ! * in case of iso-neutral diffusion we store the vertical diffusion component in the |
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219 | ! lateral trend including the K_z contrib, which will be removed later (see trd_mld) |
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220 | !----------------------------------------------------------------------------------------------- |
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221 | |
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222 | SELECT CASE ( ktrd ) |
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223 | CASE ( jptra_trd_xad ) ; CALL trd_mld_zint( ptrdx, ptrdy, jpmld_xad, '3D' ) ! merid. advection |
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224 | CASE ( jptra_trd_yad ) ; CALL trd_mld_zint( ptrdx, ptrdy, jpmld_yad, '3D' ) ! zonal advection |
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225 | CASE ( jptra_trd_zad ) ; CALL trd_mld_zint( ptrdx, ptrdy, jpmld_zad, '3D' ) ! vertical advection |
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226 | CASE ( jptra_trd_ldf ) ; CALL trd_mld_zint( ptrdx, ptrdy, jpmld_ldf, '3D' ) ! lateral diffusive |
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227 | CASE ( jptra_trd_bbl ) ; CALL trd_mld_zint( ptrdx, ptrdy, jpmld_bbl, '3D' ) ! bottom boundary layer |
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228 | CASE ( jptra_trd_zdf ) |
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229 | IF( ln_traldf_iso ) THEN |
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230 | CALL trd_mld_zint( ptrdx, ptrdy, jpmld_ldf, '3D' ) ! vertical diffusion (K_z) |
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231 | ELSE |
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232 | CALL trd_mld_zint( ptrdx, ptrdy, jpmld_zdf, '3D' ) ! vertical diffusion (K_z) |
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233 | ENDIF |
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234 | CASE ( jptra_trd_dmp ) ; CALL trd_mld_zint( ptrdx, ptrdy, jpmld_dmp, '3D' ) ! internal 3D restoring (tradmp) |
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235 | CASE ( jptra_trd_qsr ) ; CALL trd_mld_zint( ptrdx, ptrdy, jpmld_for, '3D' ) ! air-sea : penetrative sol radiat |
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236 | CASE ( jptra_trd_nsr ) |
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237 | ptrdx(:,:,2:jpk) = 0.e0 ; ptrdy(:,:,2:jpk) = 0.e0 |
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238 | CALL trd_mld_zint( ptrdx, ptrdy, jpmld_for, '2D' ) ! air-sea : non penetr sol radiat |
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239 | CASE ( jptra_trd_bbc ) ; CALL trd_mld_zint( ptrdx, ptrdy, jpmld_bbc, '3D' ) ! bottom bound cond (geoth flux) |
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240 | CASE ( jptra_trd_atf ) ; CALL trd_mld_zint( ptrdx, ptrdy, jpmld_atf, '3D' ) ! asselin numerical |
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241 | CASE ( jptra_trd_npc ) ; CALL trd_mld_zint( ptrdx, ptrdy, jpmld_npc, '3D' ) ! non penetr convect adjustment |
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242 | END SELECT |
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243 | |
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244 | ENDIF |
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245 | |
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246 | END SUBROUTINE trd_mod |
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247 | |
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248 | # else |
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249 | !!---------------------------------------------------------------------- |
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250 | !! Default case : Empty module |
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251 | !!---------------------------------------------------------------------- |
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252 | USE trdmod_oce ! ocean variables trends |
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253 | USE trdvor ! ocean vorticity trends |
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254 | USE trdicp ! ocean bassin integral constraints properties |
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255 | USE trdmld ! ocean active mixed layer tracers trends |
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256 | |
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257 | CONTAINS |
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258 | SUBROUTINE trd_mod(ptrd3dx, ptrd3dy, ktrd , ctype, kt, cnbpas) ! Empty routine |
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259 | REAL, DIMENSION(:,:,:), INTENT( in ) :: & |
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260 | ptrd3dx, & ! Temperature or U trend |
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261 | ptrd3dy ! Salinity or V trend |
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262 | INTEGER, INTENT( in ) :: ktrd ! momentum or tracer trend index |
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263 | INTEGER, INTENT( in ) :: kt ! Time step |
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264 | CHARACTER(len=3), INTENT( in ) :: ctype ! momentum or tracers trends type |
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265 | CHARACTER(len=3), INTENT( in ), OPTIONAL :: cnbpas ! number of passage |
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266 | WRITE(*,*) 'trd_3d: You should not have seen this print! error ?', ptrd3dx(1,1,1) |
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267 | WRITE(*,*) ' " ": You should not have seen this print! error ?', ptrd3dy(1,1,1) |
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268 | WRITE(*,*) ' " ": You should not have seen this print! error ?', ktrd |
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269 | WRITE(*,*) ' " ": You should not have seen this print! error ?', ctype |
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270 | WRITE(*,*) ' " ": You should not have seen this print! error ?', kt |
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271 | WRITE(*,*) ' " ": You should not have seen this print! error ?', cnbpas |
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272 | END SUBROUTINE trd_mod |
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273 | # endif |
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274 | |
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275 | SUBROUTINE trd_mod_init |
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276 | !!---------------------------------------------------------------------- |
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277 | !! *** ROUTINE trd_mod_init *** |
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278 | !! |
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279 | !! ** Purpose : Initialization of activated trends |
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280 | !!---------------------------------------------------------------------- |
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281 | USE in_out_manager ! I/O manager |
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282 | |
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283 | NAMELIST/namtrd/ ntrd, nctls, cn_trdrst_in, cn_trdrst_out, ln_trdmld_restart, ucf, ln_trdmld_instant |
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284 | !!---------------------------------------------------------------------- |
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285 | |
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286 | IF( l_trdtra .OR. l_trddyn ) THEN |
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287 | REWIND( numnam ) |
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288 | READ ( numnam, namtrd ) ! namelist namtrd : trends diagnostic |
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289 | |
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290 | IF(lwp) THEN |
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291 | WRITE(numout,*) |
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292 | WRITE(numout,*) ' trd_mod_init : Momentum/Tracers trends' |
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293 | WRITE(numout,*) ' ~~~~~~~~~~~~~' |
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294 | WRITE(numout,*) ' Namelist namtrd : set trends parameters' |
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295 | WRITE(numout,*) ' * frequency of trends diagnostics ntrd = ', ntrd |
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296 | WRITE(numout,*) ' * control surface type nctls = ', nctls |
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297 | WRITE(numout,*) ' * restart for ML diagnostics ln_trdmld_restart = ', ln_trdmld_restart |
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298 | WRITE(numout,*) ' * instantaneous or mean ML T/S ln_trdmld_instant = ', ln_trdmld_instant |
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299 | WRITE(numout,*) ' * unit conversion factor ucf = ', ucf |
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300 | ENDIF |
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301 | ENDIF |
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302 | ! |
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303 | IF( lk_trddyn .OR. lk_trdtra ) CALL trd_icp_init ! integral constraints trends |
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304 | IF( lk_trdmld ) CALL trd_mld_init ! mixed-layer trends (active tracers) |
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305 | IF( lk_trdvor ) CALL trd_vor_init ! vorticity trends |
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306 | ! |
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307 | END SUBROUTINE trd_mod_init |
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308 | |
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309 | !!====================================================================== |
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310 | END MODULE trdmod |
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