[3] | 1 | MODULE trazdf_iso |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE trazdf_iso *** |
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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 | #if defined key_ldfslp || defined key_esopa |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_ldfslp' rotation of the lateral mixing tensor |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! tra_zdf_iso : update the tracer trend with the vertical part of |
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| 11 | !! the isopycnal or geopotential s-coord. operator and |
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| 12 | !! the vertical diffusion |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! * Modules used |
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| 15 | USE oce ! ocean dynamics and tracers variables |
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| 16 | USE dom_oce ! ocean space and time domain variables |
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| 17 | USE ldfslp ! Make iso-neutral slopes available |
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[216] | 18 | USE ldftra_oce ! ocean active tracers: lateral physics |
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[3] | 19 | USE zdf_oce ! ocean vertical physics |
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| 20 | USE zdfddm ! ocean vertical physics: double diffusion |
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[216] | 21 | USE trdmod ! ocean active tracers trends |
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| 22 | USE trdmod_oce ! ocean variables trends |
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[3] | 23 | USE in_out_manager ! I/O manager |
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| 24 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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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 | !! * Accessibility |
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| 30 | PUBLIC tra_zdf_iso ! routine called by step.F90 |
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| 31 | |
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| 32 | !! * Substitutions |
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| 33 | # include "domzgr_substitute.h90" |
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| 34 | # include "ldftra_substitute.h90" |
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| 35 | # include "ldfeiv_substitute.h90" |
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| 36 | # include "zdfddm_substitute.h90" |
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| 37 | !!---------------------------------------------------------------------- |
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[247] | 38 | !!---------------------------------------------------------------------- |
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| 39 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 40 | !! $Header$ |
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| 41 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 42 | !!---------------------------------------------------------------------- |
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[3] | 43 | CONTAINS |
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| 44 | |
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| 45 | SUBROUTINE tra_zdf_iso( kt ) |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | !! *** ROUTINE tra_zdf_iso *** |
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| 48 | !! |
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| 49 | !! ** Purpose : |
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| 50 | !! Compute the trend due to the vertical tracer diffusion inclu- |
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| 51 | !! ding the vertical component of lateral mixing (only for second |
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| 52 | !! order operator, for fourth order it is already computed and |
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| 53 | !! add to the general trend in traldf.F) and add it to the general |
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| 54 | !! trend of the tracer equations. |
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| 55 | !! |
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| 56 | !! ** Method : |
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| 57 | !! The vertical component of the lateral diffusive trends is |
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| 58 | !! provided by a 2nd order operator rotated along neural or geopo- |
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| 59 | !! tential surfaces to which an eddy induced advection can be added |
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| 60 | !! It is computed using before fields (forward in time) and isopyc- |
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| 61 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 62 | !! |
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| 63 | !! First part: vertical trends associated with the lateral mixing |
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| 64 | !! ========== (excluding the vertical flux proportional to dk[t] ) |
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| 65 | !! vertical fluxes associated with the rotated lateral mixing: |
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| 66 | !! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ] |
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| 67 | !! + e1t*wslpj dj[ mj(mk(tb)) ] } |
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| 68 | !! save avt coef. resulting from vertical physics alone in zavt: |
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| 69 | !! zavt = avt |
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| 70 | !! update and save in zavt the vertical eddy viscosity coefficient: |
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| 71 | !! avt = avt + wslpi^2+wslj^2 |
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| 72 | !! add vertical Eddy Induced advective fluxes ('lk_traldf_eiv=T): |
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| 73 | !! zftw = zftw + { di[aht e2u mi(wslpi)] |
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| 74 | !! +dj[aht e1v mj(wslpj)] } mk(tb) |
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| 75 | !! take the horizontal divergence of the fluxes: |
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| 76 | !! difft = 1/(e1t*e2t*e3t) dk[ zftw ] |
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| 77 | !! Add this trend to the general trend (ta,sa): |
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| 78 | !! ta = ta + difft |
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| 79 | !! |
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| 80 | !! Second part: vertical trend associated with the vertical physics |
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| 81 | !! =========== (including the vertical flux proportional to dk[t] |
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| 82 | !! associated with the lateral mixing, through the |
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| 83 | !! update of avt) |
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| 84 | !! The vertical diffusion of tracers (t & s) is given by: |
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| 85 | !! difft = dz( avt dz(t) ) = 1/e3t dk+1( avt/e3w dk(t) ) |
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| 86 | !! It is computed using a backward time scheme, t=ta. |
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| 87 | !! Surface and bottom boundary conditions: no diffusive flux on |
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| 88 | !! both tracers (bottom, applied through the masked field avt). |
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| 89 | !! Add this trend to the general trend ta,sa : |
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| 90 | !! ta = ta + dz( avt dz(t) ) |
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| 91 | !! (sa = sa + dz( avs dz(t) ) if lk_zdfddm=T ) |
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| 92 | !! |
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| 93 | !! Third part: recover avt resulting from the vertical physics |
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| 94 | !! ========== alone, for further diagnostics (for example to |
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[216] | 95 | !! compute the turbocline depth in zdfmxl.F90). |
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[3] | 96 | !! avt = zavt |
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| 97 | !! (avs = zavs if lk_zdfddm=T ) |
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| 98 | !! |
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| 99 | !! 'key_trdtra' defined: trend saved for futher diagnostics. |
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| 100 | !! |
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| 101 | !! macro-tasked on vertical slab (jj-loop) |
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| 102 | !! |
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| 103 | !! ** Action : |
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| 104 | !! Update (ta,sa) arrays with the before vertical diffusion trend |
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[216] | 105 | !! Save in (ztdta,ztdsa) arrays the trends if 'key_trdtra' defined |
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[3] | 106 | !! |
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| 107 | !! History : |
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| 108 | !! 7.0 ! 91-11 (G. Madec) Original code |
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| 109 | !! ! 92-06 (M. Imbard) correction on tracer trend loops |
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| 110 | !! ! 96-01 (G. Madec) statement function for e3 |
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| 111 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
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| 112 | !! ! 97-07 (G. Madec) geopotential diffusion in s-coord |
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| 113 | !! ! 00-08 (G. Madec) double diffusive mixing |
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| 114 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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[216] | 115 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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[3] | 116 | !!--------------------------------------------------------------------- |
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[198] | 117 | !! * Modules used |
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| 118 | USE oce , & |
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| 119 | # if defined key_zdfddm |
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| 120 | zavs => va, & ! use va as workspace |
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| 121 | # endif |
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| 122 | zavt => ua ! use ua as workspace |
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| 123 | |
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[3] | 124 | !! * Arguments |
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| 125 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 126 | |
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| 127 | !! * Local save |
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| 128 | REAL(wp), DIMENSION(jpk), SAVE :: & |
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| 129 | z2dt |
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| 130 | |
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| 131 | !! * Local declarations |
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| 132 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 133 | INTEGER :: ikst, ikenm2, ikstp1 ! temporary integers |
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| 134 | #if defined key_partial_steps |
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| 135 | INTEGER :: iku, ikv, ikv1 ! temporary integers |
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| 136 | #endif |
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| 137 | REAL(wp) :: zta, zsa |
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| 138 | REAL(wp) :: & |
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| 139 | zcoef0, zcoef3, & ! ??? |
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[34] | 140 | zcoef4, zavi, & ! ??? |
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[3] | 141 | zbtr, zmku, zmkv, & ! |
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[34] | 142 | ztav, zsav |
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[3] | 143 | REAL(wp), DIMENSION(jpi,jpk) :: & |
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| 144 | zwd, zws, zwi, & ! ??? |
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| 145 | zwx, zwy, zwz, zwt ! ??? |
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| 146 | REAL(wp), DIMENSION(jpi,jpk) :: & |
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| 147 | ztfw, zdit, zdjt, zdj1t, & |
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[198] | 148 | zsfw, zdis, zdjs, zdj1s |
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[216] | 149 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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| 150 | ztavg, zsavg, & ! workspace arrays |
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| 151 | ztdta, ztdsa ! workspace arrays |
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[32] | 152 | #if defined key_traldf_eiv || defined key_esopa |
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[216] | 153 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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[87] | 154 | ztfwg, zsfwg |
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[36] | 155 | REAL(wp) :: & |
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| 156 | zcoeg3, & |
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[34] | 157 | zuwk, zvwk, & |
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[36] | 158 | zuwki, zvwki |
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[3] | 159 | #endif |
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| 160 | !!--------------------------------------------------------------------- |
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| 161 | !! OPA 8.5, LODYC-IPSL (2002) |
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| 162 | !!--------------------------------------------------------------------- |
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| 163 | |
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| 164 | IF( kt == nit000 ) THEN |
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| 165 | IF(lwp) WRITE(numout,*) |
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| 166 | IF(lwp) WRITE(numout,*) 'tra_zdf_iso : vertical mixing (including isopycnal component)' |
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| 167 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 168 | #if defined key_diaeiv |
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| 169 | w_eiv(:,:,:) = 0.e0 |
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| 170 | #endif |
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| 171 | ENDIF |
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| 172 | |
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| 173 | ! 0. Local constant initialization |
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| 174 | ! -------------------------------- |
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[216] | 175 | ztavg(:,:,:) = 0.e0 |
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| 176 | zsavg(:,:,:) = 0.e0 |
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[3] | 177 | |
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| 178 | ! time step = 2 rdttra ex |
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| 179 | IF( neuler == 0 .AND. kt == nit000 ) THEN |
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| 180 | z2dt(:) = rdttra(:) ! restarting with Euler time stepping |
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| 181 | ELSEIF( kt <= nit000 + 1) THEN |
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| 182 | z2dt(:) = 2. * rdttra(:) ! leapfrog |
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| 183 | ENDIF |
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| 184 | |
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[216] | 185 | ! Save ta and sa trends |
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| 186 | IF( l_trdtra ) THEN |
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| 187 | ztdta(:,:,:) = ta(:,:,:) |
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| 188 | ztdsa(:,:,:) = sa(:,:,:) |
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| 189 | ENDIF |
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| 190 | |
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[3] | 191 | ! ! =============== |
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| 192 | DO jj = 2, jpjm1 ! Vertical slab |
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| 193 | ! ! =============== |
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| 194 | |
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| 195 | ! I. vertical trends associated with the lateral mixing |
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| 196 | ! ===================================================== |
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| 197 | ! (excluding the vertical flux proportional to dk[t] |
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| 198 | |
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| 199 | |
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| 200 | ! I.1 horizontal tracer gradient |
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| 201 | ! ------------------------------ |
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| 202 | |
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| 203 | DO jk = 1, jpkm1 |
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| 204 | DO ji = 1, jpim1 |
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| 205 | ! i-gradient of T and S at jj |
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| 206 | zdit (ji,jk) = ( tb(ji+1,jj,jk)-tb(ji,jj,jk) ) * umask(ji,jj,jk) |
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| 207 | zdis (ji,jk) = ( sb(ji+1,jj,jk)-sb(ji,jj,jk) ) * umask(ji,jj,jk) |
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| 208 | ! j-gradient of T and S at jj |
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| 209 | zdjt (ji,jk) = ( tb(ji,jj+1,jk)-tb(ji,jj,jk) ) * vmask(ji,jj,jk) |
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| 210 | zdjs (ji,jk) = ( sb(ji,jj+1,jk)-sb(ji,jj,jk) ) * vmask(ji,jj,jk) |
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| 211 | ! j-gradient of T and S at jj+1 |
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| 212 | zdj1t(ji,jk) = ( tb(ji,jj,jk)-tb(ji,jj-1,jk) ) * vmask(ji,jj-1,jk) |
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| 213 | zdj1s(ji,jk) = ( sb(ji,jj,jk)-sb(ji,jj-1,jk) ) * vmask(ji,jj-1,jk) |
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| 214 | END DO |
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| 215 | END DO |
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| 216 | # if defined key_partial_steps |
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| 217 | ! partial steps correction at the bottom ocean level |
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| 218 | DO ji = 1, jpim1 |
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| 219 | ! last ocean level |
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| 220 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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| 221 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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| 222 | ikv1 = MIN( mbathy(ji,jj), mbathy(ji ,jj-1) ) - 1 |
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| 223 | ! i-gradient of T and S at jj |
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| 224 | zdit (ji,iku) = gtu(ji,jj) |
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| 225 | zdis (ji,iku) = gsu(ji,jj) |
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| 226 | ! j-gradient of T and S at jj |
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| 227 | zdjt (ji,ikv) = gtv(ji,jj) |
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| 228 | zdjs (ji,ikv) = gsv(ji,jj) |
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| 229 | ! j-gradient of T and S at jj+1 |
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| 230 | zdj1t(ji,ikv1)= gtv(ji,jj-1) |
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| 231 | zdj1s(ji,ikv1)= gsv(ji,jj-1) |
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| 232 | END DO |
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| 233 | #endif |
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| 234 | |
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| 235 | |
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| 236 | ! I.2 Vertical fluxes |
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| 237 | ! ------------------- |
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| 238 | |
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| 239 | ! Surface and bottom vertical fluxes set to zero |
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| 240 | ztfw(:, 1 ) = 0.e0 |
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| 241 | zsfw(:, 1 ) = 0.e0 |
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| 242 | ztfw(:,jpk) = 0.e0 |
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| 243 | zsfw(:,jpk) = 0.e0 |
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[34] | 244 | #if defined key_traldf_eiv |
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[216] | 245 | ztfwg(:,:, 1 ) = 0.e0 |
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| 246 | zsfwg(:,:, 1 ) = 0.e0 |
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| 247 | ztfwg(:,:,jpk) = 0.e0 |
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| 248 | zsfwg(:,:,jpk) = 0.e0 |
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[34] | 249 | #endif |
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[3] | 250 | |
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| 251 | ! interior (2=<jk=<jpk-1) |
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| 252 | DO jk = 2, jpkm1 |
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| 253 | DO ji = 2, jpim1 |
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| 254 | zcoef0 = - fsahtw(ji,jj,jk) * tmask(ji,jj,jk) |
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| 255 | |
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| 256 | zmku = 1./MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
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| 257 | & +umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1. ) |
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| 258 | |
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| 259 | zmkv = 1./MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
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| 260 | & +vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1. ) |
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| 261 | |
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| 262 | zcoef3 = zcoef0 * e2t(ji,jj) * zmku * wslpi (ji,jj,jk) |
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| 263 | zcoef4 = zcoef0 * e1t(ji,jj) * zmkv * wslpj (ji,jj,jk) |
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| 264 | |
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| 265 | ztfw(ji,jk) = zcoef3 * ( zdit (ji ,jk-1) + zdit (ji-1,jk) & |
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| 266 | & +zdit (ji-1,jk-1) + zdit (ji ,jk) ) & |
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| 267 | & + zcoef4 * ( zdjt (ji ,jk-1) + zdj1t(ji ,jk) & |
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| 268 | & +zdj1t(ji ,jk-1) + zdjt (ji ,jk) ) |
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| 269 | |
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| 270 | zsfw(ji,jk) = zcoef3 * ( zdis (ji ,jk-1) + zdis (ji-1,jk) & |
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| 271 | & +zdis (ji-1,jk-1) + zdis (ji ,jk) ) & |
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| 272 | & + zcoef4 * ( zdjs (ji ,jk-1) + zdj1s(ji ,jk) & |
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| 273 | & +zdj1s(ji ,jk-1) + zdjs (ji ,jk) ) |
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| 274 | END DO |
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| 275 | END DO |
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| 276 | |
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| 277 | |
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| 278 | ! I.3 update and save of avt (and avs if double diffusive mixing) |
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| 279 | ! --------------------------- |
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| 280 | |
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| 281 | DO jk = 2, jpkm1 |
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| 282 | DO ji = 2, jpim1 |
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| 283 | |
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| 284 | zavi = fsahtw(ji,jj,jk)*( wslpi(ji,jj,jk)*wslpi(ji,jj,jk) & |
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| 285 | & +wslpj(ji,jj,jk)*wslpj(ji,jj,jk) ) |
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| 286 | |
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| 287 | ! save avt in zavt to recover avt for mixed layer depth diag. |
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[198] | 288 | zavt(ji,jj,jk) = avt(ji,jj,jk) |
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[3] | 289 | ! add isopycnal vertical coeff. to avt |
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| 290 | avt(ji,jj,jk) = avt(ji,jj,jk) + zavi |
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| 291 | ! same procedure on avs if necessary |
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| 292 | #if defined key_zdfddm |
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| 293 | ! save avs in zavs to recover avs in output files |
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[198] | 294 | zavs(ji,jj,jk) = fsavs(ji,jj,jk) |
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[3] | 295 | ! add isopycnal vertical coeff. to avs |
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| 296 | fsavs(ji,jj,jk) = fsavs(ji,jj,jk) + zavi |
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| 297 | #endif |
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| 298 | END DO |
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| 299 | END DO |
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| 300 | |
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[34] | 301 | #if defined key_traldf_eiv |
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[3] | 302 | ! ! ---------------------------------------! |
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[34] | 303 | ! ! Eddy induced vertical advective fluxes ! |
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| 304 | ! ! ---------------------------------------! |
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[3] | 305 | #if defined key_traldf_c2d || defined key_traldf_c3d |
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| 306 | DO jk = 2, jpkm1 |
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| 307 | DO ji = 2, jpim1 |
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| 308 | zuwki = ( wslpi(ji,jj,jk) + wslpi(ji-1,jj,jk) ) & |
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| 309 | & * fsaeiu(ji-1,jj,jk) * e2u(ji-1,jj)*umask(ji-1,jj,jk) |
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| 310 | zuwk = ( wslpi(ji,jj,jk) + wslpi(ji+1,jj,jk) ) & |
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| 311 | & * fsaeiu(ji ,jj,jk) * e2u(ji ,jj)*umask(ji ,jj,jk) |
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| 312 | zvwki = ( wslpj(ji,jj,jk) + wslpj(ji,jj-1,jk) ) & |
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| 313 | & * fsaeiv(ji,jj-1,jk) * e1v(ji,jj-1)*vmask(ji,jj-1,jk) |
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| 314 | zvwk = ( wslpj(ji,jj,jk) + wslpj(ji,jj+1,jk) ) & |
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| 315 | & * fsaeiv(ji,jj ,jk) * e1v(ji ,jj)*vmask(ji ,jj,jk) |
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| 316 | |
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| 317 | zcoeg3 = + 0.25 * tmask(ji,jj,jk) * ( zuwk - zuwki + zvwk - zvwki ) |
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| 318 | |
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[216] | 319 | ztfwg(ji,jj,jk) = + zcoeg3 * ( tb(ji,jj,jk) + tb(ji,jj,jk-1) ) |
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| 320 | zsfwg(ji,jj,jk) = + zcoeg3 * ( sb(ji,jj,jk) + sb(ji,jj,jk-1) ) |
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[3] | 321 | |
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[216] | 322 | ztfw(ji,jk) = ztfw(ji,jk) + ztfwg(ji,jj,jk) |
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| 323 | zsfw(ji,jk) = zsfw(ji,jk) + zsfwg(ji,jj,jk) |
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[3] | 324 | # if defined key_diaeiv |
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| 325 | w_eiv(ji,jj,jk) = -2. * zcoeg3 / ( e1t(ji,jj)*e2t(ji,jj) ) |
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| 326 | # endif |
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| 327 | END DO |
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| 328 | END DO |
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| 329 | |
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| 330 | #else |
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| 331 | DO jk = 2, jpkm1 |
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| 332 | DO ji = 2, jpim1 |
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| 333 | zuwki = ( wslpi(ji,jj,jk) + wslpi(ji-1,jj,jk) ) & |
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| 334 | & * e2u(ji-1,jj)*umask(ji-1,jj,jk) |
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| 335 | zuwk = ( wslpi(ji,jj,jk) + wslpi(ji+1,jj,jk) ) & |
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| 336 | & * e2u(ji ,jj)*umask(ji ,jj,jk) |
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| 337 | zvwki = ( wslpj(ji,jj,jk) + wslpj(ji,jj-1,jk) ) & |
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| 338 | & * e1v(ji,jj-1)*vmask(ji,jj-1,jk) |
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| 339 | zvwk = ( wslpj(ji,jj,jk) + wslpj(ji,jj+1,jk) ) & |
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| 340 | & * e1v(ji ,jj)*vmask(ji ,jj,jk) |
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| 341 | |
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| 342 | zcoeg3 = + 0.25 * tmask(ji,jj,jk) * fsaeiw(ji,jj,jk) & |
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| 343 | & * ( zuwk - zuwki + zvwk - zvwki ) |
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| 344 | |
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[216] | 345 | ztfwg(ji,jj,jk) = + zcoeg3 * ( tb(ji,jj,jk) + tb(ji,jj,jk-1) ) |
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| 346 | zsfwg(ji,jj,jk) = + zcoeg3 * ( sb(ji,jj,jk) + sb(ji,jj,jk-1) ) |
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[3] | 347 | |
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[216] | 348 | ztfw(ji,jk) = ztfw(ji,jk) + ztfwg(ji,jj,jk) |
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| 349 | zsfw(ji,jk) = zsfw(ji,jk) + zsfwg(ji,jj,jk) |
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[3] | 350 | # if defined key_diaeiv |
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| 351 | w_eiv(ji,jj,jk) = -2. * zcoeg3 / ( e1t(ji,jj)*e2t(ji,jj) ) |
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| 352 | # endif |
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| 353 | END DO |
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| 354 | END DO |
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| 355 | #endif |
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| 356 | |
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[34] | 357 | #endif |
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| 358 | |
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[3] | 359 | ! I.5 Divergence of vertical fluxes added to the general tracer trend |
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| 360 | ! ------------------------------------------------------------------- |
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| 361 | |
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| 362 | DO jk = 1, jpkm1 |
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| 363 | DO ji = 2, jpim1 |
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| 364 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 365 | ztav = ( ztfw(ji,jk) - ztfw(ji,jk+1) ) * zbtr |
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| 366 | zsav = ( zsfw(ji,jk) - zsfw(ji,jk+1) ) * zbtr |
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| 367 | ta(ji,jj,jk) = ta(ji,jj,jk) + ztav |
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| 368 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsav |
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| 369 | END DO |
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| 370 | END DO |
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| 371 | ! ! =============== |
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| 372 | END DO ! End of slab |
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| 373 | ! ! =============== |
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| 374 | |
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[216] | 375 | ! save the trends for diagnostic |
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| 376 | ! WARNING jpttddoe is used here for vertical Gent velocity trend not for damping !!! |
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| 377 | IF( l_trdtra ) THEN |
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| 378 | # if defined key_traldf_eiv |
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| 379 | ! Compute the vertical Gent velocity trend |
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| 380 | ! ! =============== |
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| 381 | DO jj = 2, jpjm1 ! Vertical slab |
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| 382 | ! ! =============== |
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| 383 | DO jk = 1, jpkm1 |
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| 384 | DO ji = 2, jpim1 |
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| 385 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 386 | ztavg(ji,jj,jk) = ( ztfwg(ji,jj,jk) - ztfwg(ji,jj,jk+1) ) * zbtr |
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| 387 | zsavg(ji,jj,jk) = ( zsfwg(ji,jj,jk) - zsfwg(ji,jj,jk+1) ) * zbtr |
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| 388 | END DO |
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| 389 | END DO |
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| 390 | ! ! =============== |
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| 391 | END DO ! End of slab |
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| 392 | ! ! =============== |
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[3] | 393 | |
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[216] | 394 | CALL trd_mod(ztavg, zsavg, jpttddoe, 'TRA', kt) |
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| 395 | # endif |
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| 396 | ! Recompute the divergence of vertical fluxes ztav & zsav trends |
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| 397 | ! computed at step 1.5 above in making the difference between the new |
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| 398 | ! trend ta()/sa() and the previous one ztdta()/ztdsa() and substract |
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| 399 | ! the vertical Gent velocity trend ztavg()/zsavg() (zero if not used) |
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| 400 | ztavg(:,:,:) = ta(:,:,:) - ztdta(:,:,:) - ztavg(:,:,:) |
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| 401 | zsavg(:,:,:) = sa(:,:,:) - ztdsa(:,:,:) - zsavg(:,:,:) |
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| 402 | |
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| 403 | ! Save the new ta and sa trends |
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| 404 | ztdta(:,:,:) = ta(:,:,:) |
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| 405 | ztdsa(:,:,:) = sa(:,:,:) |
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| 406 | ENDIF |
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| 407 | |
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[87] | 408 | IF(l_ctl) THEN ! print mean trends (used for debugging) |
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[106] | 409 | zta = SUM( ta(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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| 410 | zsa = SUM( sa(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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[3] | 411 | WRITE(numout,*) ' zdf 1- Ta: ', zta-t_ctl, ' Sa: ', zsa-s_ctl |
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| 412 | t_ctl = zta ; s_ctl = zsa |
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| 413 | ENDIF |
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| 414 | |
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| 415 | ! ! =============== |
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| 416 | DO jj = 2, jpjm1 ! Vertical slab |
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| 417 | ! ! =============== |
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| 418 | |
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| 419 | ! II. Vertical trend associated with the vertical physics |
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| 420 | ! ======================================================= |
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| 421 | ! (including the vertical flux proportional to dk[t] associated |
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| 422 | ! with the lateral mixing, through the avt update) |
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| 423 | ! dk[ avt dk[ (t,s) ] ] diffusive trends |
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| 424 | |
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| 425 | |
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| 426 | ! II.0 Matrix construction |
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| 427 | ! ------------------------ |
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| 428 | |
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| 429 | ! Diagonal, inferior, superior |
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| 430 | ! (including the bottom boundary condition via avt masked) |
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| 431 | DO jk = 1, jpkm1 |
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| 432 | DO ji = 2, jpim1 |
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| 433 | zwi(ji,jk) = - z2dt(jk) * avt(ji,jj,jk ) & |
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| 434 | / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
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| 435 | zws(ji,jk) = - z2dt(jk) * avt(ji,jj,jk+1) & |
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| 436 | / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
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| 437 | zwd(ji,jk) = 1. - zwi(ji,jk) - zws(ji,jk) |
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| 438 | END DO |
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| 439 | END DO |
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| 440 | |
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| 441 | ! Surface boudary conditions |
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| 442 | DO ji = 2, jpim1 |
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| 443 | zwi(ji,1) = 0.e0 |
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| 444 | zwd(ji,1) = 1. - zws(ji,1) |
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| 445 | END DO |
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| 446 | |
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| 447 | |
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| 448 | ! II.1. Vertical diffusion on t |
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| 449 | ! --------------------------- |
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| 450 | |
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| 451 | ! Second member construction |
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| 452 | DO jk = 1, jpkm1 |
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| 453 | DO ji = 2, jpim1 |
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| 454 | zwy(ji,jk) = tb(ji,jj,jk) + z2dt(jk) * ta(ji,jj,jk) |
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| 455 | END DO |
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| 456 | END DO |
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| 457 | |
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| 458 | ! Matrix inversion from the first level |
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| 459 | ikst = 1 |
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| 460 | # include "zdf.matrixsolver.h90" |
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| 461 | |
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| 462 | ! Save the masked temperature after in ta |
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| 463 | ! (c a u t i o n: temperature not its trend, Leap-frog scheme done |
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| 464 | ! it will not be done in tranxt) |
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| 465 | DO jk = 1, jpkm1 |
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| 466 | DO ji = 2, jpim1 |
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| 467 | ta(ji,jj,jk) = zwx(ji,jk) * tmask(ji,jj,jk) |
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| 468 | END DO |
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| 469 | END DO |
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| 470 | |
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| 471 | |
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| 472 | ! II.2 Vertical diffusion on s |
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| 473 | ! --------------------------- |
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| 474 | |
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| 475 | #if defined key_zdfddm |
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| 476 | ! Rebuild the Matrix as avt /= avs |
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| 477 | |
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| 478 | ! Diagonal, inferior, superior |
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| 479 | ! (including the bottom boundary condition via avs masked) |
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| 480 | DO jk = 1, jpkm1 |
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| 481 | DO ji = 2, jpim1 |
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| 482 | zwi(ji,jk) = - z2dt(jk) * fsavs(ji,jj,jk ) & |
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| 483 | /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
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| 484 | zws(ji,jk) = - z2dt(jk) * fsavs(ji,jj,jk+1) & |
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| 485 | /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
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| 486 | zwd(ji,jk) = 1. - zwi(ji,jk) - zws(ji,jk) |
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| 487 | END DO |
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| 488 | END DO |
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| 489 | |
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| 490 | ! Surface boudary conditions |
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| 491 | DO ji = 2, jpim1 |
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| 492 | zwi(ji,1) = 0.e0 |
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| 493 | zwd(ji,1) = 1. - zws(ji,1) |
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| 494 | END DO |
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| 495 | #endif |
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| 496 | ! Second member construction |
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| 497 | DO jk = 1, jpkm1 |
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| 498 | DO ji = 2, jpim1 |
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| 499 | zwy(ji,jk) = sb(ji,jj,jk) + z2dt(jk) * sa(ji,jj,jk) |
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| 500 | END DO |
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| 501 | END DO |
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| 502 | |
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| 503 | ! Matrix inversion from the first level |
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| 504 | ikst = 1 |
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| 505 | # include "zdf.matrixsolver.h90" |
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| 506 | |
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| 507 | ! Save the masked salinity after in sa |
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| 508 | ! (c a u t i o n: salinity not its trend, Leap-frog scheme done |
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| 509 | ! it will not be done in tranxt) |
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| 510 | DO jk = 1, jpkm1 |
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| 511 | DO ji = 2, jpim1 |
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| 512 | sa(ji,jj,jk) = zwx(ji,jk) * tmask(ji,jj,jk) |
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| 513 | END DO |
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| 514 | END DO |
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| 515 | |
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| 516 | |
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| 517 | ! III. recover the avt (avs) resulting from vertical physics only |
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| 518 | ! =============================================================== |
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| 519 | |
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| 520 | DO jk = 2, jpkm1 |
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| 521 | DO ji = 2, jpim1 |
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[198] | 522 | avt(ji,jj,jk) = zavt(ji,jj,jk) |
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[3] | 523 | #if defined key_zdfddm |
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[198] | 524 | fsavs(ji,jj,jk) = zavs(ji,jj,jk) |
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[3] | 525 | #endif |
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| 526 | END DO |
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| 527 | END DO |
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| 528 | |
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| 529 | ! ! =============== |
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| 530 | END DO ! End of slab |
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| 531 | ! ! =============== |
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| 532 | |
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[216] | 533 | ! save the trends for diagnostic |
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| 534 | ! compute the vertical diffusive trends in substracting the previous |
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| 535 | ! trends ztdta()/ztdsa() to the new one computed via dT/dt or dS/dt |
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| 536 | ! i.e. with the new temperature/salinity ta/sa computed above |
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| 537 | IF( l_trdtra ) THEN |
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| 538 | IF( l_traldf_iso) THEN |
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| 539 | DO jk = 1, jpkm1 |
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| 540 | ztdta(:,:,jk) = ( ( ta(:,:,jk) - tb(:,:,jk) ) / z2dt(jk) ) - ztdta(:,:,jk) + ztavg(:,:,jk) |
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| 541 | ztdsa(:,:,jk) = ( ( sa(:,:,jk) - sb(:,:,jk) ) / z2dt(jk) ) - ztdsa(:,:,jk) + zsavg(:,:,jk) |
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| 542 | END DO |
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| 543 | ELSE |
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| 544 | DO jk = 1, jpkm1 |
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| 545 | ztdta(:,:,jk) = ( ( ta(:,:,jk) - tb(:,:,jk) ) / z2dt(jk) ) - ztdta(:,:,jk) |
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| 546 | ztdsa(:,:,jk) = ( ( sa(:,:,jk) - sb(:,:,jk) ) / z2dt(jk) ) - ztdsa(:,:,jk) |
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| 547 | END DO |
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| 548 | ENDIF |
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| 549 | |
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| 550 | CALL trd_mod(ztdta, ztdsa, jpttdzdf, 'TRA', kt) |
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| 551 | ENDIF |
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| 552 | |
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[87] | 553 | IF(l_ctl) THEN ! print mean trends (used for debugging) |
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[106] | 554 | zta = SUM( ta(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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| 555 | zsa = SUM( sa(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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[3] | 556 | WRITE(numout,*) ' zdf 2- Ta: ', zta, ' Sa: ', zsa |
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| 557 | ENDIF |
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| 558 | |
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| 559 | END SUBROUTINE tra_zdf_iso |
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| 560 | |
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| 561 | #else |
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| 562 | !!---------------------------------------------------------------------- |
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| 563 | !! Dummy module NO rotation of the lateral mixing tensor |
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| 564 | !!---------------------------------------------------------------------- |
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| 565 | CONTAINS |
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| 566 | SUBROUTINE tra_zdf_iso( kt ) ! empty routine |
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[32] | 567 | WRITE(*,*) 'tra_zdf_iso: You should not have seen this print! error?', kt |
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[3] | 568 | END SUBROUTINE tra_zdf_iso |
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| 569 | #endif |
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| 570 | |
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| 571 | !!============================================================================== |
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| 572 | END MODULE trazdf_iso |
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