[3] | 1 | MODULE trazdf_imp |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE trazdf_imp *** |
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| 4 | !! Ocean active tracers: vertical component of the tracer mixing trend |
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| 5 | !!============================================================================== |
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| 6 | |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! tra_zdf_imp : update the tracer trend with the vertical diffusion |
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| 9 | !! using an implicit time-stepping. |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! * Modules used |
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| 12 | USE oce ! ocean dynamics and active tracers |
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| 13 | USE dom_oce ! ocean space and time domain |
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| 14 | USE zdf_oce ! ocean vertical physics |
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[216] | 15 | USE ldftra_oce ! ocean active tracers: lateral physics |
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[3] | 16 | USE zdfddm ! ocean vertical physics: double diffusion |
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[255] | 17 | USE zdfkpp ! KPP parameterisation |
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[216] | 18 | USE trdmod ! ocean active tracers trends |
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| 19 | USE trdmod_oce ! ocean variables trends |
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[3] | 20 | USE in_out_manager ! I/O manager |
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[258] | 21 | USE prtctl ! Print control |
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[3] | 22 | |
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| 23 | |
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| 24 | IMPLICIT NONE |
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| 25 | PRIVATE |
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| 26 | |
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| 27 | !! * Routine accessibility |
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| 28 | PUBLIC tra_zdf_imp ! routine called by step.F90 |
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| 29 | |
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| 30 | !! * Module variable |
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| 31 | REAL(wp), DIMENSION(jpk) :: & |
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| 32 | r2dt ! vertical profile of 2 x tracer time-step |
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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 "zdfddm_substitute.h90" |
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| 37 | !!---------------------------------------------------------------------- |
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[247] | 38 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 39 | !! $Header$ |
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| 40 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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[3] | 41 | !!---------------------------------------------------------------------- |
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| 42 | |
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| 43 | CONTAINS |
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| 44 | |
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| 45 | SUBROUTINE tra_zdf_imp( kt ) |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | !! *** ROUTINE tra_zdf_imp *** |
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| 48 | !! |
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| 49 | !! ** Purpose : Compute the trend due to the vertical tracer mixing |
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| 50 | !! using an implicit time stepping and add it to the general trend |
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| 51 | !! of the tracer equations. |
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| 52 | !! |
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| 53 | !! ** Method : The vertical diffusion of tracers (t & s) is given by: |
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| 54 | !! difft = dz( avt dz(t) ) = 1/e3t dk+1( avt/e3w dk(ta) ) |
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| 55 | !! It is thus evaluated using a backward time scheme |
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| 56 | !! Surface and bottom boundary conditions: no diffusive flux on |
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| 57 | !! both tracers (bottom, applied through the masked field avt). |
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| 58 | !! Add this trend to the general trend ta,sa : |
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| 59 | !! ta = ta + dz( avt dz(t) ) |
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| 60 | !! (sa = sa + dz( avs dz(t) ) if lk_zdfddm=T) |
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| 61 | !! |
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| 62 | !! ** Action : - Update (ta,sa) with the before vertical diffusion trend |
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| 63 | !! - save the trends in (ttrd,strd) ('key_trdtra') |
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| 64 | !! |
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| 65 | !! History : |
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| 66 | !! 6.0 ! 90-10 (B. Blanke) Original code |
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| 67 | !! 7.0 ! 91-11 (G. Madec) |
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| 68 | !! ! 92-06 (M. Imbard) correction on tracer trend loops |
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| 69 | !! ! 96-01 (G. Madec) statement function for e3 |
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| 70 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
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| 71 | !! ! 97-07 (G. Madec) geopotential diffusion in s-coord |
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| 72 | !! ! 00-08 (G. Madec) double diffusive mixing |
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| 73 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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[216] | 74 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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[255] | 75 | !! 9.0 ! 05-01 (C. Ethe ) non-local flux in KPP vertical mixing scheme |
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[3] | 76 | !!--------------------------------------------------------------------- |
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[216] | 77 | !! * Modules used |
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| 78 | USE oce, ONLY : ztdta => ua, & ! use ua as 3D workspace |
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| 79 | ztdsa => va ! use va as 3D workspace |
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| 80 | |
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[3] | 81 | !! * Arguments |
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| 82 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 83 | |
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| 84 | !! * Local declarations |
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| 85 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 86 | INTEGER :: ikst, ikenm2, ikstp1 |
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| 87 | REAL(wp), DIMENSION(jpi,jpk) :: & |
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| 88 | zwd, zws, zwi, & ! ??? |
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| 89 | zwx, zwy, zwz, zwt ! ??? |
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| 90 | !!--------------------------------------------------------------------- |
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| 91 | |
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| 92 | |
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| 93 | ! 0. Local constant initialization |
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| 94 | ! -------------------------------- |
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| 95 | |
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| 96 | ! time step = 2 rdttra ex |
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| 97 | IF( neuler == 0 .AND. kt == nit000 ) THEN |
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| 98 | r2dt(:) = rdttra(:) ! restarting with Euler time stepping |
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| 99 | ELSEIF( kt <= nit000 + 1) THEN |
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| 100 | r2dt(:) = 2. * rdttra(:) ! leapfrog |
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| 101 | ENDIF |
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| 102 | |
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[216] | 103 | ! Save ta and sa trends |
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| 104 | IF( l_trdtra ) THEN |
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| 105 | ztdta(:,:,:) = ta(:,:,:) |
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| 106 | ztdsa(:,:,:) = sa(:,:,:) |
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| 107 | ENDIF |
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| 108 | |
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[3] | 109 | ! ! =============== |
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| 110 | DO jj = 2, jpjm1 ! Vertical slab |
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| 111 | ! ! =============== |
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| 112 | ! 0. Matrix construction |
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| 113 | ! ---------------------- |
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| 114 | |
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| 115 | ! Diagonal, inferior, superior (including the bottom boundary condition via avt masked) |
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| 116 | DO jk = 1, jpkm1 |
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| 117 | DO ji = 2, jpim1 |
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| 118 | zwi(ji,jk) = - r2dt(jk) * avt(ji,jj,jk ) & |
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| 119 | / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
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| 120 | zws(ji,jk) = - r2dt(jk) * avt(ji,jj,jk+1) & |
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| 121 | / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
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| 122 | zwd(ji,jk) = 1. - zwi(ji,jk) - zws(ji,jk) |
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| 123 | END DO |
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| 124 | END DO |
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| 125 | |
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| 126 | ! Surface boudary conditions |
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| 127 | DO ji = 2, jpim1 |
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| 128 | zwi(ji,1) = 0.e0 |
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| 129 | zwd(ji,1) = 1. - zws(ji,1) |
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| 130 | END DO |
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| 131 | |
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| 132 | ! 1. Vertical diffusion on temperature |
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| 133 | ! -------------------------=========== |
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| 134 | |
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| 135 | ! Second member construction |
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[255] | 136 | #if defined key_zdfkpp |
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| 137 | ! add non-local temperature flux ( in convective case only) |
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[3] | 138 | DO jk = 1, jpkm1 |
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[255] | 139 | DO ji = 2, jpim1 |
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| 140 | zwy(ji,jk) = tb(ji,jj,jk) + r2dt(jk) * ta(ji,jj,jk) & |
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| 141 | & - r2dt(jk) * ( ghats(ji,jj,jk) * avt(ji,jj,jk) - ghats(ji,jj,jk+1) * avt(ji,jj,jk+1) ) & |
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| 142 | & * wt0(ji,jj) / fse3t(ji,jj,jk) |
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| 143 | END DO |
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| 144 | END DO |
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| 145 | #else |
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| 146 | DO jk = 1, jpkm1 |
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| 147 | DO ji = 2, jpim1 |
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[3] | 148 | zwy(ji,jk) = tb(ji,jj,jk) + r2dt(jk) * ta(ji,jj,jk) |
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| 149 | END DO |
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| 150 | END DO |
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[255] | 151 | #endif |
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[3] | 152 | |
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| 153 | ! Matrix inversion from the first level |
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| 154 | ikst = 1 |
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| 155 | |
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| 156 | # include "zdf.matrixsolver.h90" |
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| 157 | |
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| 158 | ! Save the masked temperature after in ta |
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| 159 | ! (c a u t i o n: temperature not its trend, Leap-frog scheme done |
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| 160 | ! it will not be done in tranxt) |
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| 161 | DO jk = 1, jpkm1 |
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| 162 | DO ji = 2, jpim1 |
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| 163 | ta(ji,jj,jk) = zwx(ji,jk) * tmask(ji,jj,jk) |
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| 164 | END DO |
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| 165 | END DO |
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| 166 | |
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| 167 | |
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| 168 | ! 2. Vertical diffusion on salinity |
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| 169 | ! -------------------------======== |
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| 170 | |
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| 171 | #if defined key_zdfddm |
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| 172 | ! Rebuild the Matrix as avt /= avs |
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| 173 | |
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| 174 | ! Diagonal, inferior, superior |
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| 175 | ! (including the bottom boundary condition via avs masked) |
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| 176 | DO jk = 1, jpkm1 |
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| 177 | DO ji = 2, jpim1 |
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| 178 | zwi(ji,jk) = - r2dt(jk) * fsavs(ji,jj,jk ) & |
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| 179 | /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
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| 180 | zws(ji,jk) = - r2dt(jk) * fsavs(ji,jj,jk+1) & |
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| 181 | /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
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| 182 | zwd(ji,jk) = 1. - zwi(ji,jk) - zws(ji,jk) |
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| 183 | END DO |
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| 184 | END DO |
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| 185 | |
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| 186 | ! Surface boudary conditions |
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| 187 | DO ji = 2, jpim1 |
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| 188 | zwi(ji,1) = 0.e0 |
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| 189 | zwd(ji,1) = 1. - zws(ji,1) |
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| 190 | END DO |
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| 191 | #endif |
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| 192 | ! Second member construction |
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[255] | 193 | #if defined key_zdfkpp |
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| 194 | ! add non-local salinity flux ( in convective case only) |
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[3] | 195 | DO jk = 1, jpkm1 |
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[255] | 196 | DO ji = 2, jpim1 |
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| 197 | zwy(ji,jk) = sb(ji,jj,jk) + r2dt(jk) * sa(ji,jj,jk) & |
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| 198 | & - r2dt(jk) * ( ghats(ji,jj,jk) * fsavs(ji,jj,jk) - ghats(ji,jj,jk+1) * fsavs(ji,jj,jk+1) ) & |
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| 199 | & * ws0(ji,jj) / fse3t(ji,jj,jk) |
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| 200 | END DO |
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| 201 | END DO |
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| 202 | #else |
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| 203 | DO jk = 1, jpkm1 |
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| 204 | DO ji = 2, jpim1 |
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[3] | 205 | zwy(ji,jk) = sb(ji,jj,jk) + r2dt(jk) * sa(ji,jj,jk) |
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| 206 | END DO |
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| 207 | END DO |
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[255] | 208 | #endif |
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| 209 | |
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[3] | 210 | ! Matrix inversion from the first level |
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| 211 | ikst = 1 |
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| 212 | |
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| 213 | # include "zdf.matrixsolver.h90" |
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| 214 | |
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| 215 | |
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| 216 | ! Save the masked salinity after in sa |
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| 217 | ! (c a u t i o n: salinity not its trend, Leap-frog scheme done |
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| 218 | ! it will not be done in tranxt) |
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| 219 | DO jk = 1, jpkm1 |
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| 220 | DO ji = 2, jpim1 |
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| 221 | sa(ji,jj,jk) = zwx(ji,jk) * tmask(ji,jj,jk) |
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| 222 | END DO |
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| 223 | END DO |
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| 224 | |
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| 225 | ! ! =============== |
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| 226 | END DO ! End of slab |
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| 227 | ! ! =============== |
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| 228 | |
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[216] | 229 | ! save the trends for diagnostic |
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| 230 | ! Compute and save the vertical diffusive temperature & salinity trends |
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| 231 | IF( l_trdtra ) THEN |
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| 232 | ! compute the vertical diffusive trends in substracting the previous |
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| 233 | ! trends ztdta()/ztdsa() to the new one computed (dT/dt or dS/dt) |
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| 234 | ! with the new temperature/salinity ta/sa |
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| 235 | DO jk = 1, jpkm1 |
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| 236 | ztdta(:,:,jk) = ( ( ta(:,:,jk) - tb(:,:,jk) ) / r2dt(jk) ) & ! new trend |
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| 237 | & - ztdta(:,:,jk) ! old trend |
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| 238 | ztdsa(:,:,jk) = ( ( sa(:,:,jk) - sb(:,:,jk) ) / r2dt(jk) ) & ! new trend |
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| 239 | & - ztdsa(:,:,jk) ! old trend |
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| 240 | END DO |
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| 241 | |
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| 242 | CALL trd_mod(ztdta, ztdsa, jpttdzdf, 'TRA', kt) |
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| 243 | ENDIF |
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| 244 | |
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[258] | 245 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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| 246 | CALL prt_ctl(tab3d_1=ta, clinfo1=' zdf - Ta: ', mask1=tmask, & |
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| 247 | & tab3d_2=sa, clinfo2=' Sa: ', mask2=tmask, clinfo3='tra') |
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[216] | 248 | ENDIF |
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| 249 | |
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[3] | 250 | END SUBROUTINE tra_zdf_imp |
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| 251 | |
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| 252 | !!============================================================================== |
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| 253 | END MODULE trazdf_imp |
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