[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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| 18 | USE ldftra_oce ! ocean active tracers: lateral physics |
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| 19 | USE zdf_oce ! ocean vertical physics |
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| 20 | USE zdfddm ! ocean vertical physics: double diffusion |
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| 21 | USE trdtra_oce ! tracers trends diagnostics variables |
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| 22 | USE in_out_manager ! I/O manager |
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| 23 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 24 | |
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| 25 | IMPLICIT NONE |
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| 26 | PRIVATE |
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| 27 | |
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| 28 | !! * Accessibility |
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| 29 | PUBLIC tra_zdf_iso ! routine called by step.F90 |
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| 30 | |
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| 31 | !! * Substitutions |
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| 32 | # include "domzgr_substitute.h90" |
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| 33 | # include "ldftra_substitute.h90" |
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| 34 | # include "ldfeiv_substitute.h90" |
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| 35 | # include "zdfddm_substitute.h90" |
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| 36 | !!---------------------------------------------------------------------- |
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| 37 | |
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| 38 | CONTAINS |
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| 39 | |
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| 40 | SUBROUTINE tra_zdf_iso( kt ) |
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| 41 | !!---------------------------------------------------------------------- |
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| 42 | !! *** ROUTINE tra_zdf_iso *** |
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| 43 | !! |
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| 44 | !! ** Purpose : |
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| 45 | !! Compute the trend due to the vertical tracer diffusion inclu- |
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| 46 | !! ding the vertical component of lateral mixing (only for second |
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| 47 | !! order operator, for fourth order it is already computed and |
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| 48 | !! add to the general trend in traldf.F) and add it to the general |
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| 49 | !! trend of the tracer equations. |
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| 50 | !! |
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| 51 | !! ** Method : |
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| 52 | !! The vertical component of the lateral diffusive trends is |
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| 53 | !! provided by a 2nd order operator rotated along neural or geopo- |
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| 54 | !! tential surfaces to which an eddy induced advection can be added |
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| 55 | !! It is computed using before fields (forward in time) and isopyc- |
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| 56 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 57 | !! |
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| 58 | !! First part: vertical trends associated with the lateral mixing |
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| 59 | !! ========== (excluding the vertical flux proportional to dk[t] ) |
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| 60 | !! vertical fluxes associated with the rotated lateral mixing: |
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| 61 | !! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ] |
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| 62 | !! + e1t*wslpj dj[ mj(mk(tb)) ] } |
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| 63 | !! save avt coef. resulting from vertical physics alone in zavt: |
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| 64 | !! zavt = avt |
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| 65 | !! update and save in zavt the vertical eddy viscosity coefficient: |
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| 66 | !! avt = avt + wslpi^2+wslj^2 |
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| 67 | !! add vertical Eddy Induced advective fluxes ('lk_traldf_eiv=T): |
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| 68 | !! zftw = zftw + { di[aht e2u mi(wslpi)] |
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| 69 | !! +dj[aht e1v mj(wslpj)] } mk(tb) |
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| 70 | !! take the horizontal divergence of the fluxes: |
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| 71 | !! difft = 1/(e1t*e2t*e3t) dk[ zftw ] |
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| 72 | !! Add this trend to the general trend (ta,sa): |
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| 73 | !! ta = ta + difft |
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| 74 | !! |
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| 75 | !! Second part: vertical trend associated with the vertical physics |
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| 76 | !! =========== (including the vertical flux proportional to dk[t] |
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| 77 | !! associated with the lateral mixing, through the |
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| 78 | !! update of avt) |
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| 79 | !! The vertical diffusion of tracers (t & s) is given by: |
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| 80 | !! difft = dz( avt dz(t) ) = 1/e3t dk+1( avt/e3w dk(t) ) |
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| 81 | !! It is computed using a backward time scheme, t=ta. |
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| 82 | !! Surface and bottom boundary conditions: no diffusive flux on |
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| 83 | !! both tracers (bottom, applied through the masked field avt). |
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| 84 | !! Add this trend to the general trend ta,sa : |
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| 85 | !! ta = ta + dz( avt dz(t) ) |
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| 86 | !! (sa = sa + dz( avs dz(t) ) if lk_zdfddm=T ) |
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| 87 | !! |
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| 88 | !! Third part: recover avt resulting from the vertical physics |
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| 89 | !! ========== alone, for further diagnostics (for example to |
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| 90 | !! compute the turbocline depth in diamld). |
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| 91 | !! avt = zavt |
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| 92 | !! (avs = zavs if lk_zdfddm=T ) |
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| 93 | !! |
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| 94 | !! 'key_trdtra' defined: trend saved for futher diagnostics. |
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| 95 | !! |
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| 96 | !! macro-tasked on vertical slab (jj-loop) |
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| 97 | !! |
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| 98 | !! ** Action : |
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| 99 | !! Update (ta,sa) arrays with the before vertical diffusion trend |
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| 100 | !! Save in (ttrd,strd) arrays the trends if 'key_diatrends' defined |
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| 101 | !! |
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| 102 | !! History : |
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| 103 | !! 7.0 ! 91-11 (G. Madec) Original code |
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| 104 | !! ! 92-06 (M. Imbard) correction on tracer trend loops |
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| 105 | !! ! 96-01 (G. Madec) statement function for e3 |
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| 106 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
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| 107 | !! ! 97-07 (G. Madec) geopotential diffusion in s-coord |
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| 108 | !! ! 00-08 (G. Madec) double diffusive mixing |
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| 109 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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| 110 | !!--------------------------------------------------------------------- |
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| 111 | !! * Arguments |
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| 112 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 113 | |
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| 114 | !! * Local save |
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| 115 | REAL(wp), DIMENSION(jpk), SAVE :: & |
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| 116 | z2dt |
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| 117 | |
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| 118 | !! * Local declarations |
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| 119 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 120 | INTEGER :: ikst, ikenm2, ikstp1 ! temporary integers |
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| 121 | #if defined key_partial_steps |
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| 122 | INTEGER :: iku, ikv, ikv1 ! temporary integers |
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| 123 | #endif |
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| 124 | REAL(wp) :: zta, zsa |
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| 125 | REAL(wp) :: & |
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| 126 | ztavg, zsavg, & ! ??? |
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| 127 | zcoef0, zcoef3, & ! ??? |
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[34] | 128 | zcoef4, zavi, & ! ??? |
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[3] | 129 | zbtr, zmku, zmkv, & ! |
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[34] | 130 | ztav, zsav |
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[3] | 131 | REAL(wp), DIMENSION(jpi,jpk) :: & |
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| 132 | zwd, zws, zwi, & ! ??? |
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| 133 | zwx, zwy, zwz, zwt ! ??? |
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| 134 | REAL(wp), DIMENSION(jpi,jpk) :: & |
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| 135 | ztfw, zdit, zdjt, zdj1t, & |
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| 136 | zsfw, zdis, zdjs, zdj1s, & |
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[34] | 137 | zavt |
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[32] | 138 | #if defined key_traldf_eiv || defined key_esopa |
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[3] | 139 | REAL(wp), DIMENSION(jpi,jpk) :: & |
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[34] | 140 | ztfwg, zsfwg, zcoeg3, & |
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| 141 | zuwk, zvwk, & |
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| 142 | zuwki, zvwki, zavs |
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[3] | 143 | #endif |
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| 144 | !!--------------------------------------------------------------------- |
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| 145 | !! OPA 8.5, LODYC-IPSL (2002) |
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| 146 | !!--------------------------------------------------------------------- |
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| 147 | |
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| 148 | IF( kt == nit000 ) THEN |
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| 149 | IF(lwp) WRITE(numout,*) |
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| 150 | IF(lwp) WRITE(numout,*) 'tra_zdf_iso : vertical mixing (including isopycnal component)' |
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| 151 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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| 152 | #if defined key_diaeiv |
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| 153 | w_eiv(:,:,:) = 0.e0 |
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| 154 | #endif |
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| 155 | ENDIF |
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| 156 | |
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| 157 | ! 0. Local constant initialization |
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| 158 | ! -------------------------------- |
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| 159 | |
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| 160 | ztavg = 0.e0 |
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| 161 | zsavg = 0.e0 |
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| 162 | ! time step = 2 rdttra ex |
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| 163 | IF( neuler == 0 .AND. kt == nit000 ) THEN |
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| 164 | z2dt(:) = rdttra(:) ! restarting with Euler time stepping |
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| 165 | ELSEIF( kt <= nit000 + 1) THEN |
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| 166 | z2dt(:) = 2. * rdttra(:) ! leapfrog |
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| 167 | ENDIF |
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| 168 | |
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| 169 | ! ! =============== |
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| 170 | DO jj = 2, jpjm1 ! Vertical slab |
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| 171 | ! ! =============== |
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| 172 | |
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| 173 | ! I. vertical trends associated with the lateral mixing |
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| 174 | ! ===================================================== |
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| 175 | ! (excluding the vertical flux proportional to dk[t] |
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| 176 | |
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| 177 | |
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| 178 | ! I.1 horizontal tracer gradient |
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| 179 | ! ------------------------------ |
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| 180 | |
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| 181 | DO jk = 1, jpkm1 |
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| 182 | DO ji = 1, jpim1 |
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| 183 | ! i-gradient of T and S at jj |
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| 184 | zdit (ji,jk) = ( tb(ji+1,jj,jk)-tb(ji,jj,jk) ) * umask(ji,jj,jk) |
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| 185 | zdis (ji,jk) = ( sb(ji+1,jj,jk)-sb(ji,jj,jk) ) * umask(ji,jj,jk) |
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| 186 | ! j-gradient of T and S at jj |
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| 187 | zdjt (ji,jk) = ( tb(ji,jj+1,jk)-tb(ji,jj,jk) ) * vmask(ji,jj,jk) |
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| 188 | zdjs (ji,jk) = ( sb(ji,jj+1,jk)-sb(ji,jj,jk) ) * vmask(ji,jj,jk) |
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| 189 | ! j-gradient of T and S at jj+1 |
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| 190 | zdj1t(ji,jk) = ( tb(ji,jj,jk)-tb(ji,jj-1,jk) ) * vmask(ji,jj-1,jk) |
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| 191 | zdj1s(ji,jk) = ( sb(ji,jj,jk)-sb(ji,jj-1,jk) ) * vmask(ji,jj-1,jk) |
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| 192 | END DO |
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| 193 | END DO |
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| 194 | # if defined key_partial_steps |
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| 195 | ! partial steps correction at the bottom ocean level |
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| 196 | DO ji = 1, jpim1 |
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| 197 | ! last ocean level |
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| 198 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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| 199 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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| 200 | ikv1 = MIN( mbathy(ji,jj), mbathy(ji ,jj-1) ) - 1 |
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| 201 | ! i-gradient of T and S at jj |
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| 202 | zdit (ji,iku) = gtu(ji,jj) |
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| 203 | zdis (ji,iku) = gsu(ji,jj) |
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| 204 | ! j-gradient of T and S at jj |
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| 205 | zdjt (ji,ikv) = gtv(ji,jj) |
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| 206 | zdjs (ji,ikv) = gsv(ji,jj) |
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| 207 | ! j-gradient of T and S at jj+1 |
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| 208 | zdj1t(ji,ikv1)= gtv(ji,jj-1) |
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| 209 | zdj1s(ji,ikv1)= gsv(ji,jj-1) |
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| 210 | END DO |
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| 211 | #endif |
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| 212 | |
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| 213 | |
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| 214 | ! I.2 Vertical fluxes |
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| 215 | ! ------------------- |
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| 216 | |
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| 217 | ! Surface and bottom vertical fluxes set to zero |
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| 218 | ztfw(:, 1 ) = 0.e0 |
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| 219 | zsfw(:, 1 ) = 0.e0 |
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| 220 | ztfw(:,jpk) = 0.e0 |
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| 221 | zsfw(:,jpk) = 0.e0 |
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[34] | 222 | #if defined key_traldf_eiv |
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| 223 | ztfwg(:, 1 ) = 0.e0 |
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| 224 | zsfwg(:, 1 ) = 0.e0 |
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| 225 | ztfwg(:,jpk) = 0.e0 |
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| 226 | zsfwg(:,jpk) = 0.e0 |
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| 227 | #endif |
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[3] | 228 | |
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| 229 | ! interior (2=<jk=<jpk-1) |
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| 230 | DO jk = 2, jpkm1 |
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| 231 | DO ji = 2, jpim1 |
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| 232 | zcoef0 = - fsahtw(ji,jj,jk) * tmask(ji,jj,jk) |
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| 233 | |
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| 234 | zmku = 1./MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
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| 235 | & +umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1. ) |
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| 236 | |
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| 237 | zmkv = 1./MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
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| 238 | & +vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1. ) |
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| 239 | |
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| 240 | zcoef3 = zcoef0 * e2t(ji,jj) * zmku * wslpi (ji,jj,jk) |
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| 241 | zcoef4 = zcoef0 * e1t(ji,jj) * zmkv * wslpj (ji,jj,jk) |
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| 242 | |
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| 243 | ztfw(ji,jk) = zcoef3 * ( zdit (ji ,jk-1) + zdit (ji-1,jk) & |
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| 244 | & +zdit (ji-1,jk-1) + zdit (ji ,jk) ) & |
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| 245 | & + zcoef4 * ( zdjt (ji ,jk-1) + zdj1t(ji ,jk) & |
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| 246 | & +zdj1t(ji ,jk-1) + zdjt (ji ,jk) ) |
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| 247 | |
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| 248 | zsfw(ji,jk) = zcoef3 * ( zdis (ji ,jk-1) + zdis (ji-1,jk) & |
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| 249 | & +zdis (ji-1,jk-1) + zdis (ji ,jk) ) & |
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| 250 | & + zcoef4 * ( zdjs (ji ,jk-1) + zdj1s(ji ,jk) & |
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| 251 | & +zdj1s(ji ,jk-1) + zdjs (ji ,jk) ) |
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| 252 | END DO |
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| 253 | END DO |
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| 254 | |
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| 255 | |
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| 256 | ! I.3 update and save of avt (and avs if double diffusive mixing) |
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| 257 | ! --------------------------- |
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| 258 | |
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| 259 | DO jk = 2, jpkm1 |
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| 260 | DO ji = 2, jpim1 |
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| 261 | |
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| 262 | zavi = fsahtw(ji,jj,jk)*( wslpi(ji,jj,jk)*wslpi(ji,jj,jk) & |
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| 263 | & +wslpj(ji,jj,jk)*wslpj(ji,jj,jk) ) |
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| 264 | |
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| 265 | ! save avt in zavt to recover avt for mixed layer depth diag. |
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| 266 | zavt(ji,jk) = avt(ji,jj,jk) |
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| 267 | ! add isopycnal vertical coeff. to avt |
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| 268 | avt(ji,jj,jk) = avt(ji,jj,jk) + zavi |
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| 269 | ! same procedure on avs if necessary |
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| 270 | #if defined key_zdfddm |
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| 271 | ! save avs in zavs to recover avs in output files |
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| 272 | zavs(ji,jk) = fsavs(ji,jj,jk) |
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| 273 | ! add isopycnal vertical coeff. to avs |
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| 274 | fsavs(ji,jj,jk) = fsavs(ji,jj,jk) + zavi |
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| 275 | #endif |
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| 276 | END DO |
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| 277 | END DO |
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| 278 | |
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[34] | 279 | #if defined key_traldf_eiv |
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[3] | 280 | ! ! ---------------------------------------! |
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[34] | 281 | ! ! Eddy induced vertical advective fluxes ! |
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| 282 | ! ! ---------------------------------------! |
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[3] | 283 | #if defined key_traldf_c2d || defined key_traldf_c3d |
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| 284 | DO jk = 2, jpkm1 |
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| 285 | DO ji = 2, jpim1 |
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| 286 | zuwki = ( wslpi(ji,jj,jk) + wslpi(ji-1,jj,jk) ) & |
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| 287 | & * fsaeiu(ji-1,jj,jk) * e2u(ji-1,jj)*umask(ji-1,jj,jk) |
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| 288 | zuwk = ( wslpi(ji,jj,jk) + wslpi(ji+1,jj,jk) ) & |
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| 289 | & * fsaeiu(ji ,jj,jk) * e2u(ji ,jj)*umask(ji ,jj,jk) |
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| 290 | zvwki = ( wslpj(ji,jj,jk) + wslpj(ji,jj-1,jk) ) & |
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| 291 | & * fsaeiv(ji,jj-1,jk) * e1v(ji,jj-1)*vmask(ji,jj-1,jk) |
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| 292 | zvwk = ( wslpj(ji,jj,jk) + wslpj(ji,jj+1,jk) ) & |
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| 293 | & * fsaeiv(ji,jj ,jk) * e1v(ji ,jj)*vmask(ji ,jj,jk) |
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| 294 | |
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| 295 | zcoeg3 = + 0.25 * tmask(ji,jj,jk) * ( zuwk - zuwki + zvwk - zvwki ) |
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| 296 | |
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| 297 | ztfwg(ji,jk) = + zcoeg3 * ( tb(ji,jj,jk) + tb(ji,jj,jk-1) ) |
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| 298 | zsfwg(ji,jk) = + zcoeg3 * ( sb(ji,jj,jk) + sb(ji,jj,jk-1) ) |
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| 299 | |
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| 300 | ztfw(ji,jk) = ztfw(ji,jk) + ztfwg(ji,jk) |
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| 301 | zsfw(ji,jk) = zsfw(ji,jk) + zsfwg(ji,jk) |
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| 302 | # if defined key_diaeiv |
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| 303 | w_eiv(ji,jj,jk) = -2. * zcoeg3 / ( e1t(ji,jj)*e2t(ji,jj) ) |
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| 304 | # endif |
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| 305 | END DO |
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| 306 | END DO |
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| 307 | |
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| 308 | #else |
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| 309 | DO jk = 2, jpkm1 |
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| 310 | DO ji = 2, jpim1 |
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| 311 | zuwki = ( wslpi(ji,jj,jk) + wslpi(ji-1,jj,jk) ) & |
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| 312 | & * e2u(ji-1,jj)*umask(ji-1,jj,jk) |
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| 313 | zuwk = ( wslpi(ji,jj,jk) + wslpi(ji+1,jj,jk) ) & |
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| 314 | & * e2u(ji ,jj)*umask(ji ,jj,jk) |
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| 315 | zvwki = ( wslpj(ji,jj,jk) + wslpj(ji,jj-1,jk) ) & |
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| 316 | & * e1v(ji,jj-1)*vmask(ji,jj-1,jk) |
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| 317 | zvwk = ( wslpj(ji,jj,jk) + wslpj(ji,jj+1,jk) ) & |
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| 318 | & * e1v(ji ,jj)*vmask(ji ,jj,jk) |
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| 319 | |
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| 320 | zcoeg3 = + 0.25 * tmask(ji,jj,jk) * fsaeiw(ji,jj,jk) & |
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| 321 | & * ( zuwk - zuwki + zvwk - zvwki ) |
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| 322 | |
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| 323 | ztfwg(ji,jk) = + zcoeg3 * ( tb(ji,jj,jk) + tb(ji,jj,jk-1) ) |
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| 324 | zsfwg(ji,jk) = + zcoeg3 * ( sb(ji,jj,jk) + sb(ji,jj,jk-1) ) |
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| 325 | |
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| 326 | ztfw(ji,jk) = ztfw(ji,jk) + ztfwg(ji,jk) |
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| 327 | zsfw(ji,jk) = zsfw(ji,jk) + zsfwg(ji,jk) |
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| 328 | # if defined key_diaeiv |
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| 329 | w_eiv(ji,jj,jk) = -2. * zcoeg3 / ( e1t(ji,jj)*e2t(ji,jj) ) |
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| 330 | # endif |
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| 331 | END DO |
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| 332 | END DO |
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| 333 | #endif |
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| 334 | |
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[34] | 335 | #endif |
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| 336 | |
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[3] | 337 | ! I.5 Divergence of vertical fluxes added to the general tracer trend |
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| 338 | ! ------------------------------------------------------------------- |
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| 339 | |
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| 340 | DO jk = 1, jpkm1 |
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| 341 | DO ji = 2, jpim1 |
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| 342 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 343 | ztav = ( ztfw(ji,jk) - ztfw(ji,jk+1) ) * zbtr |
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| 344 | zsav = ( zsfw(ji,jk) - zsfw(ji,jk+1) ) * zbtr |
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| 345 | ta(ji,jj,jk) = ta(ji,jj,jk) + ztav |
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| 346 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsav |
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| 347 | #if defined key_trdtra || defined key_trdmld |
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| 348 | # if defined key_traldf_eiv |
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| 349 | ztavg = ( ztfwg(ji,jk) - ztfwg(ji,jk+1) ) * zbtr |
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| 350 | zsavg = ( zsfwg(ji,jk) - zsfwg(ji,jk+1) ) * zbtr |
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| 351 | ! WARNING ttrd(ji,jj,jk,6) used for vertical gent velocity trend |
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| 352 | ! not for damping !!! |
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| 353 | ttrd(ji,jj,jk,6) = ztavg |
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| 354 | strd(ji,jj,jk,6) = zsavg |
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| 355 | # endif |
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| 356 | ttrd(ji,jj,jk,4) = ztav - ztavg |
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| 357 | strd(ji,jj,jk,4) = zsav - zsavg |
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| 358 | #endif |
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| 359 | END DO |
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| 360 | END DO |
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| 361 | ! ! =============== |
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| 362 | END DO ! End of slab |
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| 363 | ! ! =============== |
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| 364 | |
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| 365 | |
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| 366 | IF( l_ctl .AND. lwp ) THEN ! print mean trends (used for debugging) |
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| 367 | zta = SUM( ta(2:jpim1,2:jpjm1,1:jpkm1) * tmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
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| 368 | zsa = SUM( sa(2:jpim1,2:jpjm1,1:jpkm1) * tmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
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| 369 | WRITE(numout,*) ' zdf 1- Ta: ', zta-t_ctl, ' Sa: ', zsa-s_ctl |
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| 370 | t_ctl = zta ; s_ctl = zsa |
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| 371 | ENDIF |
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| 372 | |
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| 373 | ! ! =============== |
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| 374 | DO jj = 2, jpjm1 ! Vertical slab |
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| 375 | ! ! =============== |
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| 376 | |
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| 377 | ! II. Vertical trend associated with the vertical physics |
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| 378 | ! ======================================================= |
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| 379 | ! (including the vertical flux proportional to dk[t] associated |
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| 380 | ! with the lateral mixing, through the avt update) |
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| 381 | ! dk[ avt dk[ (t,s) ] ] diffusive trends |
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| 382 | |
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| 383 | |
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| 384 | ! II.0 Matrix construction |
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| 385 | ! ------------------------ |
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| 386 | |
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| 387 | ! Diagonal, inferior, superior |
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| 388 | ! (including the bottom boundary condition via avt masked) |
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| 389 | DO jk = 1, jpkm1 |
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| 390 | DO ji = 2, jpim1 |
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| 391 | zwi(ji,jk) = - z2dt(jk) * avt(ji,jj,jk ) & |
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| 392 | / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
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| 393 | zws(ji,jk) = - z2dt(jk) * avt(ji,jj,jk+1) & |
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| 394 | / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
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| 395 | zwd(ji,jk) = 1. - zwi(ji,jk) - zws(ji,jk) |
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| 396 | END DO |
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| 397 | END DO |
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| 398 | |
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| 399 | ! Surface boudary conditions |
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| 400 | DO ji = 2, jpim1 |
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| 401 | zwi(ji,1) = 0.e0 |
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| 402 | zwd(ji,1) = 1. - zws(ji,1) |
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| 403 | END DO |
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| 404 | |
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| 405 | |
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| 406 | ! II.1. Vertical diffusion on t |
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| 407 | ! --------------------------- |
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| 408 | |
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| 409 | ! Second member construction |
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| 410 | DO jk = 1, jpkm1 |
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| 411 | DO ji = 2, jpim1 |
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| 412 | zwy(ji,jk) = tb(ji,jj,jk) + z2dt(jk) * ta(ji,jj,jk) |
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| 413 | END DO |
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| 414 | END DO |
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| 415 | |
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| 416 | ! Matrix inversion from the first level |
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| 417 | ikst = 1 |
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| 418 | # include "zdf.matrixsolver.h90" |
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| 419 | |
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| 420 | #if defined key_trdtra || defined key_trdmld |
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| 421 | ! Compute and save the vertical diffusive temperature trends |
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| 422 | IF( l_traldf_iso ) THEN |
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| 423 | DO jk = 1, jpkm1 |
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| 424 | DO ji = 2, jpim1 |
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| 425 | zta = ( zwx(ji,jk) - tb(ji,jj,jk) ) / z2dt(jk) |
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| 426 | ttrd(ji,jj,jk,4) = zta - ta(ji,jj,jk) + ttrd(ji,jj,jk,4) |
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| 427 | END DO |
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| 428 | END DO |
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| 429 | ELSE |
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| 430 | DO jk = 1, jpkm1 |
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| 431 | DO ji = 2, jpim1 |
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| 432 | zta = ( zwx(ji,jk) - tb(ji,jj,jk) ) / z2dt(jk) |
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| 433 | ttrd(ji,jj,jk,4) = zta - ta(ji,jj,jk) |
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| 434 | END DO |
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| 435 | END DO |
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| 436 | ENDIF |
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| 437 | #endif |
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| 438 | |
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| 439 | ! Save the masked temperature after in ta |
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| 440 | ! (c a u t i o n: temperature not its trend, Leap-frog scheme done |
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| 441 | ! it will not be done in tranxt) |
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| 442 | DO jk = 1, jpkm1 |
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| 443 | DO ji = 2, jpim1 |
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| 444 | ta(ji,jj,jk) = zwx(ji,jk) * tmask(ji,jj,jk) |
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| 445 | END DO |
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| 446 | END DO |
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| 447 | |
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| 448 | |
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| 449 | ! II.2 Vertical diffusion on s |
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| 450 | ! --------------------------- |
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| 451 | |
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| 452 | #if defined key_zdfddm |
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| 453 | ! Rebuild the Matrix as avt /= avs |
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| 454 | |
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| 455 | ! Diagonal, inferior, superior |
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| 456 | ! (including the bottom boundary condition via avs masked) |
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| 457 | DO jk = 1, jpkm1 |
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| 458 | DO ji = 2, jpim1 |
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| 459 | zwi(ji,jk) = - z2dt(jk) * fsavs(ji,jj,jk ) & |
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| 460 | /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
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| 461 | zws(ji,jk) = - z2dt(jk) * fsavs(ji,jj,jk+1) & |
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| 462 | /( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
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| 463 | zwd(ji,jk) = 1. - zwi(ji,jk) - zws(ji,jk) |
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| 464 | END DO |
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| 465 | END DO |
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| 466 | |
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| 467 | ! Surface boudary conditions |
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| 468 | DO ji = 2, jpim1 |
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| 469 | zwi(ji,1) = 0.e0 |
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| 470 | zwd(ji,1) = 1. - zws(ji,1) |
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| 471 | END DO |
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| 472 | #endif |
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| 473 | ! Second member construction |
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| 474 | DO jk = 1, jpkm1 |
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| 475 | DO ji = 2, jpim1 |
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| 476 | zwy(ji,jk) = sb(ji,jj,jk) + z2dt(jk) * sa(ji,jj,jk) |
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| 477 | END DO |
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| 478 | END DO |
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| 479 | |
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| 480 | ! Matrix inversion from the first level |
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| 481 | ikst = 1 |
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| 482 | # include "zdf.matrixsolver.h90" |
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| 483 | |
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| 484 | #if defined key_trdtra || defined key_trdmld |
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| 485 | ! Compute and save the vertical diffusive salinity trends |
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| 486 | IF( l_traldf_iso ) THEN |
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| 487 | DO jk = 1, jpkm1 |
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| 488 | DO ji = 2, jpim1 |
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| 489 | zsa = ( zwx(ji,jk) - sb(ji,jj,jk) ) / z2dt(jk) |
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| 490 | strd(ji,jj,jk,4) = zsa - sa(ji,jj,jk) + strd(ji,jj,jk,4) |
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| 491 | END DO |
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| 492 | END DO |
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| 493 | ELSE |
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| 494 | DO jk = 1, jpkm1 |
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| 495 | DO ji = 2, jpim1 |
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| 496 | zsa = ( zwx(ji,jk) - sb(ji,jj,jk) ) / z2dt(jk) |
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| 497 | strd(ji,jj,jk,4) = zsa - sa(ji,jj,jk) |
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| 498 | END DO |
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| 499 | END DO |
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| 500 | ENDIF |
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| 501 | #endif |
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| 502 | |
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| 503 | ! Save the masked salinity after in sa |
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| 504 | ! (c a u t i o n: salinity not its trend, Leap-frog scheme done |
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| 505 | ! it will not be done in tranxt) |
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| 506 | DO jk = 1, jpkm1 |
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| 507 | DO ji = 2, jpim1 |
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| 508 | sa(ji,jj,jk) = zwx(ji,jk) * tmask(ji,jj,jk) |
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| 509 | END DO |
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| 510 | END DO |
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| 511 | |
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| 512 | |
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| 513 | ! III. recover the avt (avs) resulting from vertical physics only |
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| 514 | ! =============================================================== |
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| 515 | |
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| 516 | DO jk = 2, jpkm1 |
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| 517 | DO ji = 2, jpim1 |
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| 518 | avt(ji,jj,jk) = zavt(ji,jk) |
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| 519 | #if defined key_zdfddm |
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| 520 | fsavs(ji,jj,jk) = zavs(ji,jk) |
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| 521 | #endif |
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| 522 | END DO |
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| 523 | END DO |
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| 524 | |
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| 525 | ! ! =============== |
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| 526 | END DO ! End of slab |
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| 527 | ! ! =============== |
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| 528 | |
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| 529 | IF( l_ctl .AND. lwp ) THEN ! print mean trends (used for debugging) |
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| 530 | zta = SUM( ta(2:jpim1,2:jpjm1,1:jpkm1) * tmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
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| 531 | zsa = SUM( sa(2:jpim1,2:jpjm1,1:jpkm1) * tmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
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| 532 | WRITE(numout,*) ' zdf 2- Ta: ', zta, ' Sa: ', zsa |
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| 533 | ENDIF |
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| 534 | |
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| 535 | END SUBROUTINE tra_zdf_iso |
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| 536 | |
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| 537 | #else |
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| 538 | !!---------------------------------------------------------------------- |
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| 539 | !! Dummy module NO rotation of the lateral mixing tensor |
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| 540 | !!---------------------------------------------------------------------- |
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| 541 | CONTAINS |
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| 542 | SUBROUTINE tra_zdf_iso( kt ) ! empty routine |
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[32] | 543 | WRITE(*,*) 'tra_zdf_iso: You should not have seen this print! error?', kt |
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[3] | 544 | END SUBROUTINE tra_zdf_iso |
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| 545 | #endif |
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| 546 | |
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| 547 | !!============================================================================== |
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| 548 | END MODULE trazdf_iso |
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