[186] | 1 | MODULE trczdf_exp |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE trczdf_exp *** |
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| 4 | !! Ocean passive tracers: vertical component of the tracer mixing trend using |
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| 5 | !! an explicit time-stepping (time spllitting scheme) |
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| 6 | !!============================================================================== |
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| 7 | #if defined key_passivetrc |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | !! trc_zdf_exp : update the tracer trend with the vertical diffusion |
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| 10 | !! using an explicit time stepping |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! * Modules used |
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[202] | 13 | USE oce_trc ! ocean dynamics and active tracers variables |
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| 14 | USE trc ! ocean passive tracers variables |
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| 15 | USE trctrp_lec ! passive tracers transport |
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[334] | 16 | USE prtctl_trc ! Print control for debbuging |
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[186] | 17 | |
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| 18 | IMPLICIT NONE |
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| 19 | PRIVATE |
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| 20 | |
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| 21 | !! * Routine accessibility |
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| 22 | PUBLIC trc_zdf_exp ! routine called by step.F90 |
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| 23 | |
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| 24 | !! * Module variable |
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| 25 | REAL(wp), DIMENSION(jpk) :: & |
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| 26 | rdttrc ! vertical profile of 2 x tracer time-step |
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| 27 | |
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| 28 | !! * Substitutions |
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| 29 | # include "passivetrc_substitute.h90" |
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| 30 | !!---------------------------------------------------------------------- |
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[349] | 31 | !! TOP 1.0 , LOCEAN-IPSL (2005) |
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[342] | 32 | !! $Header$ |
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| 33 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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[186] | 34 | !!---------------------------------------------------------------------- |
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| 35 | |
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| 36 | CONTAINS |
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| 37 | |
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| 38 | SUBROUTINE trc_zdf_exp( kt ) |
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| 39 | !!---------------------------------------------------------------------- |
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| 40 | !! *** ROUTINE trc_zdf_exp *** |
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| 41 | !! |
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| 42 | !! ** Purpose : Compute the trend due to the vertical tracer mixing |
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| 43 | !! using an explicit time stepping and add it to the general trend |
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| 44 | !! of the tracer equations. |
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| 45 | !! |
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| 46 | !! ** Method : The vertical diffusion of tracers is given by: |
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| 47 | !! difft = dz( avt dz(trb) ) = 1/e3t dk+1( avt/e3w dk(trb) ) |
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| 48 | !! It is evaluated with an Euler scheme, using a time splitting |
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| 49 | !! technique. |
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| 50 | !! Surface and bottom boundary conditions: no diffusive flux on |
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| 51 | !! both tracers (bottom, applied through the masked field avt). |
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| 52 | !! Add this trend to the general trend tra : |
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| 53 | !! tra = tra + dz( avt dz(t) ) if lk_zdfddm= T) |
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| 54 | !! |
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| 55 | !! ** Action : - Update tra with the before vertical diffusion trend |
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| 56 | !! - Save the trends in trtrd ('key_trc_diatrd') |
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| 57 | !! |
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| 58 | !! History : |
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| 59 | !! 6.0 ! 90-10 (B. Blanke) Original code |
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| 60 | !! 7.0 ! 91-11 (G. Madec) |
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| 61 | !! ! 92-06 (M. Imbard) correction on tracer trend loops |
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| 62 | !! ! 96-01 (G. Madec) statement function for e3 |
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| 63 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
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| 64 | !! ! 97-07 (G. Madec) geopotential diffusion in s-coord |
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| 65 | !! ! 98-03 (L. Bopp MA Foujols) passive tracer generalisation |
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| 66 | !! ! 00-05 (MA Foujols) add lbc for tracer trends |
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| 67 | !! ! 00-06 (O Aumont) correct isopycnal scheme suppress |
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| 68 | !! ! avt multiple correction |
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| 69 | !! ! 00-08 (G. Madec) double diffusive mixing |
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| 70 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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| 71 | !! 9.0 ! 04-03 (C. Ethe ) adapted for passive tracers |
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| 72 | !!--------------------------------------------------------------------- |
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| 73 | !! * Arguments |
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| 74 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 75 | |
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| 76 | !! * Local declarations |
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| 77 | INTEGER :: ji, jj, jk, jl, jn ! dummy loop indices |
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| 78 | REAL(wp) :: & |
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| 79 | zlavmr, & ! ??? |
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| 80 | zave3r, ze3tr, & ! ??? |
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| 81 | ztra ! |
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| 82 | REAL(wp), DIMENSION(jpi,jpk) :: & |
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| 83 | zwx, zwy |
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[334] | 84 | CHARACTER (len=22) :: charout |
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[186] | 85 | !!--------------------------------------------------------------------- |
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| 86 | |
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| 87 | IF( kt == nittrc000 ) THEN |
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| 88 | WRITE(numout,*) |
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| 89 | WRITE(numout,*) 'trc_zdf_exp : vertical tracer mixing' |
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| 90 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 91 | ENDIF |
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| 92 | |
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| 93 | ! 0. Local constant initialization |
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| 94 | ! -------------------------------- |
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| 95 | IF( ln_trcadv_cen2 .OR. ln_trcadv_tvd ) THEN |
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| 96 | ! time step = 2 rdttra with Arakawa or TVD advection scheme |
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| 97 | IF( neuler == 0 .AND. kt == nittrc000 ) THEN |
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| 98 | rdttrc(:) = rdttra(:) * FLOAT(ndttrc) ! restarting with Euler time stepping |
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[490] | 99 | ELSEIF( kt <= nittrc000 + ndttrc ) THEN |
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[186] | 100 | rdttrc(:) = 2. * rdttra(:) * FLOAT(ndttrc) ! leapfrog |
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| 101 | ENDIF |
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| 102 | ELSE |
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| 103 | rdttrc(:) = rdttra(:) * FLOAT(ndttrc) |
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| 104 | ENDIF |
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| 105 | |
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| 106 | |
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| 107 | zlavmr = 1. / FLOAT( n_trczdf_exp ) |
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| 108 | |
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| 109 | DO jn = 1, jptra |
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| 110 | |
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| 111 | ! ! =============== |
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| 112 | DO jj = 2, jpjm1 ! Vertical slab |
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| 113 | ! ! =============== |
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| 114 | ! 1. Initializations |
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| 115 | ! ------------------ |
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| 116 | |
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| 117 | ! Surface & bottom boundary conditions: no flux |
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| 118 | DO ji = 2, jpim1 |
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| 119 | zwy(ji, 1 ) = 0.e0 |
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| 120 | zwy(ji,jpk) = 0.e0 |
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| 121 | END DO |
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| 122 | |
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| 123 | ! zwx and zwz arrays set to before tracer values |
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| 124 | DO jk = 1, jpk |
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| 125 | DO ji = 2, jpim1 |
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| 126 | zwx(ji,jk) = trb(ji,jj,jk,jn) |
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| 127 | END DO |
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| 128 | END DO |
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| 129 | |
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| 130 | |
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| 131 | ! 2. Time splitting loop |
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| 132 | ! ---------------------- |
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| 133 | |
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| 134 | DO jl = 1, n_trczdf_exp |
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| 135 | |
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| 136 | ! first vertical derivative |
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| 137 | ! double diffusion: fstravs(ji,jj,jk) = avt(ji,jj,jk) /= avs (key_trc_zdfddm) |
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| 138 | ! fstravs(ji,jj,jk) = avs(ji,jj,jk) = avt |
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| 139 | DO jk = 2, jpk |
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| 140 | DO ji = 2, jpim1 |
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| 141 | zave3r = 1.e0 / fse3w(ji,jj,jk) |
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| 142 | zwy(ji,jk) = fstravs(ji,jj,jk) * ( zwx(ji,jk-1) - zwx(ji,jk) ) * zave3r |
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| 143 | END DO |
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| 144 | END DO |
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| 145 | |
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| 146 | |
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| 147 | ! trend estimation at kt+l*2*rdt/n_zdfexp |
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| 148 | DO jk = 1, jpkm1 |
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| 149 | DO ji = 2, jpim1 |
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| 150 | ze3tr = zlavmr / fse3t(ji,jj,jk) |
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| 151 | ! 2nd vertical derivative |
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| 152 | ztra = ( zwy(ji,jk) - zwy(ji,jk+1) ) * ze3tr |
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| 153 | ! update the tracer trends |
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| 154 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztra |
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| 155 | ! update tracer fields at kt+l*2*rdt/n_trczdf_exp |
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| 156 | zwx(ji,jk) = zwx(ji,jk) + rdttrc(jk) * ztra * tmask(ji,jj,jk) |
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| 157 | END DO |
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| 158 | END DO |
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| 159 | END DO |
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| 160 | ! ! =============== |
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| 161 | END DO ! End of slab |
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| 162 | ! ! =============== |
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| 163 | END DO |
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| 164 | |
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[334] | 165 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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| 166 | WRITE(charout, FMT="('zdf - exp')") |
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| 167 | CALL prt_ctl_trc_info(charout) |
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| 168 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm,clinfo2='trd') |
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| 169 | ENDIF |
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| 170 | |
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[186] | 171 | END SUBROUTINE trc_zdf_exp |
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| 172 | |
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| 173 | #else |
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| 174 | !!---------------------------------------------------------------------- |
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[202] | 175 | !! Dummy module : NO passive tracer |
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[186] | 176 | !!---------------------------------------------------------------------- |
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| 177 | CONTAINS |
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| 178 | SUBROUTINE trc_zdf_exp (kt ) ! Empty routine |
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| 179 | INTEGER, INTENT(in) :: kt |
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| 180 | WRITE(*,*) 'trc_zdf_exp: You should not have seen this print! error?', kt |
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| 181 | END SUBROUTINE trc_zdf_exp |
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| 182 | #endif |
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| 183 | |
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| 184 | !!============================================================================== |
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| 185 | END MODULE trczdf_exp |
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