[3] | 1 | MODULE traldf_iso |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traldf_iso *** |
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| 4 | !! Ocean active tracers: horizontal component of the lateral 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_ldf_iso : update the tracer trend with the horizontal component |
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| 11 | !! of iso neutral laplacian operator or horizontal |
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| 12 | !! laplacian operator in s-coordinate |
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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 ldftra_oce ! ocean active tracers: lateral physics |
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| 18 | USE trdtra_oce ! ocean active tracers: trend variables |
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| 19 | USE in_out_manager ! I/O manager |
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| 20 | USE ldfslp ! iso-neutral slopes |
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| 21 | USE lbclnk |
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| 22 | |
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| 23 | IMPLICIT NONE |
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| 24 | PRIVATE |
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| 25 | |
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| 26 | !! * Routine accessibility |
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| 27 | PUBLIC tra_ldf_iso ! routine called by step.F90 |
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| 28 | |
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| 29 | !! * Substitutions |
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| 30 | # include "domzgr_substitute.h90" |
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| 31 | # include "ldftra_substitute.h90" |
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| 32 | # include "ldfeiv_substitute.h90" |
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| 33 | # include "vectopt_loop_substitute.h90" |
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| 34 | !!---------------------------------------------------------------------- |
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| 35 | |
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| 36 | CONTAINS |
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| 37 | |
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| 38 | SUBROUTINE tra_ldf_iso( kt ) |
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| 39 | !!---------------------------------------------------------------------- |
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| 40 | !! *** ROUTINE tra_ldf_iso *** |
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| 41 | !! |
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| 42 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 43 | !! trend and add it to the general trend of tracer equation. |
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| 44 | !! |
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| 45 | !! ** Method : The horizontal component of the lateral diffusive trends |
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| 46 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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| 47 | !! tential surfaces to which an eddy induced advection can be added |
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| 48 | !! It is computed using before fields (forward in time) and isopyc- |
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| 49 | !! nal or geopotential slopes computed in routine ldfslp. |
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| 50 | !! |
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| 51 | !! horizontal fluxes associated with the rotated lateral mixing: |
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| 52 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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| 53 | !! - aht e2u*uslp dk[ mi(mk(tb)) ] |
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| 54 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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| 55 | !! - aht e2u*vslp dk[ mj(mk(tb)) ] |
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| 56 | !! add horizontal Eddy Induced advective fluxes (lk_traldf_eiv=T): |
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| 57 | !! zftu = zftu - dk-1[ aht e2u mi(wslpi) ] mi( tb ) |
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| 58 | !! zftv = zftv - dk-1[ aht e1v mj(wslpj) ] mj( tb ) |
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| 59 | !! take the horizontal divergence of the fluxes: |
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| 60 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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| 61 | !! Add this trend to the general trend (ta,sa): |
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| 62 | !! ta = ta + difft |
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| 63 | !! |
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| 64 | !! ** Action : - Update (ta,sa) arrays with the before isopycnal or |
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| 65 | !! geopotential s-coord harmonic mixing trend. |
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| 66 | !! - Save the trends in (ttrd,strd) ('key_diatrends') |
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| 67 | !! |
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| 68 | !! History : |
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| 69 | !! ! 94-08 (G. Madec, M. Imbard) |
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| 70 | !! ! 97-05 (G. Madec) split into traldf and trazdf |
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| 71 | !! 8.5 ! 02-08 (G. Madec) Free form, F90 |
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| 72 | !!---------------------------------------------------------------------- |
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| 73 | !! * Modules used |
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| 74 | USE oce , zftu => ua, & ! use ua as workspace |
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| 75 | & zfsu => va ! use va as workspace |
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| 76 | |
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| 77 | !! * Arguments |
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| 78 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 79 | |
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| 80 | !! * Local declarations |
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| 81 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 82 | REAL(wp) :: & |
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| 83 | zabe1, zabe2, zcof1, zcof2, & ! temporary scalars |
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| 84 | zmsku, zmskv, zbtr, zta, zsa, & |
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| 85 | zcg1, zcg2, zuwk, zvwk, & |
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| 86 | zuwk1, zvwk1, & |
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| 87 | ztagu, ztagv, zsagu, zsagv |
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| 88 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 89 | zdkt, zdk1t, & ! workspace |
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| 90 | zdks, zdk1s, & |
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| 91 | zftug, zftvg, & |
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| 92 | zfsug, zfsvg |
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| 93 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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| 94 | zftv, zfsv ! workspace |
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| 95 | !!---------------------------------------------------------------------- |
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| 96 | |
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| 97 | IF( kt == nit000 ) THEN |
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| 98 | IF(lwp) WRITE(numout,*) |
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| 99 | IF(lwp) WRITE(numout,*) 'tra_ldf_iso : iso neutral lateral diffusion or' |
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| 100 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ horizontal laplacian diffusion in s-coordinate' |
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| 101 | #if defined key_diaeiv |
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| 102 | u_eiv(:,:,:) = 0.e0 |
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| 103 | v_eiv(:,:,:) = 0.e0 |
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| 104 | #endif |
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| 105 | ENDIF |
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| 106 | |
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| 107 | ztagu = 0.e0 |
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| 108 | ztagv = 0.e0 |
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| 109 | zsagu = 0.e0 |
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| 110 | zsagv = 0.e0 |
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| 111 | |
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| 112 | ! ! =============== |
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| 113 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 114 | ! ! =============== |
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| 115 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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| 116 | ! ------------------------------------------------ |
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| 117 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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| 118 | |
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| 119 | zdk1t(:,:) = ( tb(:,:,jk) - tb(:,:,jk+1) ) * tmask(:,:,jk+1) |
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| 120 | zdk1s(:,:) = ( sb(:,:,jk) - sb(:,:,jk+1) ) * tmask(:,:,jk+1) |
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| 121 | |
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| 122 | IF( jk == 1 ) THEN |
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| 123 | zdkt(:,:) = zdk1t(:,:) |
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| 124 | zdks(:,:) = zdk1s(:,:) |
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| 125 | ELSE |
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| 126 | zdkt(:,:) = ( tb(:,:,jk-1) - tb(:,:,jk) ) * tmask(:,:,jk) |
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| 127 | zdks(:,:) = ( sb(:,:,jk-1) - sb(:,:,jk) ) * tmask(:,:,jk) |
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| 128 | ENDIF |
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| 129 | |
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| 130 | |
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| 131 | ! 2. Horizontal fluxes |
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| 132 | ! -------------------- |
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| 133 | |
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| 134 | DO jj = 1 , jpjm1 |
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| 135 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 136 | zabe1 = ( fsahtu(ji,jj,jk) + ahtb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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| 137 | zabe2 = ( fsahtv(ji,jj,jk) + ahtb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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| 138 | |
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| 139 | zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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| 140 | + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. ) |
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| 141 | |
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| 142 | zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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| 143 | + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. ) |
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| 144 | |
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| 145 | zcof1 = -fsahtu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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| 146 | zcof2 = -fsahtv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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| 147 | |
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| 148 | zftu(ji,jj,jk) = umask(ji,jj,jk) * ( zabe1 * ( tb(ji+1,jj,jk) - tb(ji,jj,jk) ) & |
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| 149 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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| 150 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) |
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| 151 | |
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| 152 | zftv(ji,jj,jk) = vmask(ji,jj,jk) * ( zabe2 * ( tb(ji,jj+1,jk) - tb(ji,jj,jk) ) & |
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| 153 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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| 154 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) |
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| 155 | |
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| 156 | zfsu(ji,jj,jk) = umask(ji,jj,jk) * ( zabe1 * ( sb(ji+1,jj,jk) - sb(ji,jj,jk) ) & |
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| 157 | & + zcof1 * ( zdks (ji+1,jj) + zdk1s(ji,jj) & |
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| 158 | & + zdk1s(ji+1,jj) + zdks (ji,jj) ) ) |
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| 159 | |
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| 160 | zfsv(ji,jj,jk) = vmask(ji,jj,jk) * ( zabe2 * ( sb(ji,jj+1,jk) - sb(ji,jj,jk) ) & |
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| 161 | & + zcof2 * ( zdks (ji,jj+1) + zdk1s(ji,jj) & |
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| 162 | & + zdk1s(ji,jj+1) + zdks (ji,jj) ) ) |
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| 163 | END DO |
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| 164 | END DO |
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| 165 | |
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| 166 | ! ! ---------------------------------------! |
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| 167 | IF( lk_traldf_eiv ) THEN ! Eddy induced vertical advective fluxes ! |
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| 168 | ! ! ---------------------------------------! |
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| 169 | DO jj = 1, jpjm1 |
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| 170 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 171 | zuwk = ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj,jk ) ) * fsaeiu(ji,jj,jk ) * umask(ji,jj,jk ) |
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| 172 | zuwk1= ( wslpi(ji,jj,jk+1) + wslpi(ji+1,jj,jk+1) ) * fsaeiu(ji,jj,jk+1) * umask(ji,jj,jk+1) |
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| 173 | zvwk = ( wslpj(ji,jj,jk ) + wslpj(ji,jj+1,jk ) ) * fsaeiv(ji,jj,jk ) * vmask(ji,jj,jk ) |
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| 174 | zvwk1= ( wslpj(ji,jj,jk+1) + wslpj(ji,jj+1,jk+1) ) * fsaeiv(ji,jj,jk+1) * vmask(ji,jj,jk+1) |
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| 175 | |
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| 176 | zcg1= -0.25 * e2u(ji,jj) * umask(ji,jj,jk) * ( zuwk-zuwk1 ) |
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| 177 | zcg2= -0.25 * e1v(ji,jj) * vmask(ji,jj,jk) * ( zvwk-zvwk1 ) |
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| 178 | |
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| 179 | zftug(ji,jj) = zcg1 * ( tb(ji+1,jj,jk) + tb(ji,jj,jk) ) |
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| 180 | zftvg(ji,jj) = zcg2 * ( tb(ji,jj+1,jk) + tb(ji,jj,jk) ) |
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| 181 | zfsug(ji,jj) = zcg1 * ( sb(ji+1,jj,jk) + sb(ji,jj,jk) ) |
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| 182 | zfsvg(ji,jj) = zcg2 * ( sb(ji,jj+1,jk) + sb(ji,jj,jk) ) |
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| 183 | |
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| 184 | zftu(ji,jj,jk) = zftu(ji,jj,jk) + zftug(ji,jj) |
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| 185 | zftv(ji,jj,jk) = zftv(ji,jj,jk) + zftvg(ji,jj) |
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| 186 | zfsu(ji,jj,jk) = zfsu(ji,jj,jk) + zfsug(ji,jj) |
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| 187 | zfsv(ji,jj,jk) = zfsv(ji,jj,jk) + zfsvg(ji,jj) |
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| 188 | # if defined key_diaeiv |
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| 189 | u_eiv(ji,jj,jk) = -2. * zcg1 / ( e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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| 190 | v_eiv(ji,jj,jk) = -2. * zcg2 / ( e1v(ji,jj) * fse3v(ji,jj,jk) ) |
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| 191 | # endif |
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| 192 | END DO |
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| 193 | END DO |
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| 194 | ENDIF |
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| 195 | |
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| 196 | ! II.4 Second derivative (divergence) and add to the general trend |
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| 197 | ! ---------------------------------------------------------------- |
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| 198 | |
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| 199 | DO jj = 2 , jpjm1 |
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| 200 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 201 | zbtr= 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 202 | zta = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1,jj ,jk) & |
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| 203 | & + zftv(ji,jj,jk) - zftv(ji ,jj-1,jk) ) |
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| 204 | zsa = zbtr * ( zfsu(ji,jj,jk) - zfsu(ji-1,jj ,jk) & |
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| 205 | & + zfsv(ji,jj,jk) - zfsv(ji ,jj-1,jk) ) |
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| 206 | ta (ji,jj,jk) = ta (ji,jj,jk) + zta |
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| 207 | sa (ji,jj,jk) = sa (ji,jj,jk) + zsa |
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| 208 | #if defined key_trdtra || defined key_trdmld |
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| 209 | # if defined key_traldf_eiv |
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| 210 | ztagu = ( zftug(ji,jj) - zftug(ji-1,jj ) ) * zbtr |
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| 211 | ztagv = ( zftvg(ji,jj) - zftvg(ji ,jj-1) ) * zbtr |
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| 212 | zsagu = ( zfsug(ji,jj) - zfsug(ji-1,jj ) ) * zbtr |
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| 213 | zsagv = ( zfsvg(ji,jj) - zfsvg(ji ,jj-1) ) * zbtr |
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| 214 | ttrdh(ji,jj,jk,3) = ztagu |
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| 215 | ttrdh(ji,jj,jk,4) = ztagv |
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| 216 | strdh(ji,jj,jk,3) = zsagu |
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| 217 | strdh(ji,jj,jk,4) = zsagv |
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| 218 | # endif |
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| 219 | ttrd (ji,jj,jk,3) = zta - ztagu - ztagv |
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| 220 | strd (ji,jj,jk,3) = zsa - zsagu - zsagv |
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| 221 | #endif |
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| 222 | END DO |
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| 223 | END DO |
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| 224 | ! ! =============== |
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| 225 | END DO ! End of slab |
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| 226 | ! ! =============== |
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| 227 | |
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| 228 | IF( l_ctl .AND. lwp ) THEN ! print mean trends (used for debugging) |
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| 229 | zta = SUM( ta(2:jpim1,2:jpjm1,1:jpkm1) * tmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
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| 230 | zsa = SUM( sa(2:jpim1,2:jpjm1,1:jpkm1) * tmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
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| 231 | WRITE(numout,*) ' ldf - Ta: ', zta-t_ctl, ' Sa: ', zsa-s_ctl |
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| 232 | t_ctl = zta ; s_ctl = zsa |
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| 233 | ENDIF |
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| 234 | |
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| 235 | #if defined key_diaptr |
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| 236 | !!bug no separation of diff iso and eiv |
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| 237 | IF( MOD( kt, nf_ptr ) == 0 ) THEN |
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| 238 | ! "zonal" mean lateral diffusive heat and salt transports |
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| 239 | pht_ldf(:,:) = prt_vj( zftv(:,:,:) ) |
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| 240 | pst_ldf(:,:) = prt_vj( zfsv(:,:,:) ) |
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| 241 | ! "zonal" mean lateral eddy induced velocity heat and salt transports |
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| 242 | pht_eiv(:,:) = prt_vj( zftv(:,:,:) ) |
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| 243 | pst_eiv(:,:) = prt_vj( zfsv(:,:,:) ) |
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| 244 | ENDIF |
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| 245 | #endif |
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| 246 | |
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| 247 | END SUBROUTINE tra_ldf_iso |
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| 248 | |
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| 249 | #else |
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| 250 | !!---------------------------------------------------------------------- |
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| 251 | !! Dummy module : No rotation of the lateral mixing tensor |
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| 252 | !!---------------------------------------------------------------------- |
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| 253 | CONTAINS |
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| 254 | SUBROUTINE tra_ldf_iso( kt ) ! Empty routine |
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[32] | 255 | WRITE(*,*) 'tra_ldf_iso: You should not have seen this print! error?', kt |
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[3] | 256 | END SUBROUTINE tra_ldf_iso |
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| 257 | #endif |
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| 258 | |
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| 259 | !!============================================================================== |
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| 260 | END MODULE traldf_iso |
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