[3] | 1 | MODULE traldf_iso |
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[503] | 2 | !!====================================================================== |
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[457] | 3 | !! *** MODULE traldf_iso *** |
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[3] | 4 | !! Ocean active tracers: horizontal component of the lateral tracer mixing trend |
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[503] | 5 | !!====================================================================== |
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| 6 | !! History : ! 94-08 (G. Madec, M. Imbard) |
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| 7 | !! ! 97-05 (G. Madec) split into traldf and trazdf |
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| 8 | !! 8.5 ! 02-08 (G. Madec) Free form, F90 |
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| 9 | !! 9.0 ! 05-11 (G. Madec) merge traldf and trazdf :-) |
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| 10 | !!---------------------------------------------------------------------- |
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[457] | 11 | #if defined key_ldfslp || defined key_esopa |
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[3] | 12 | !!---------------------------------------------------------------------- |
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[457] | 13 | !! 'key_ldfslp' slope of the lateral diffusive direction |
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[3] | 14 | !!---------------------------------------------------------------------- |
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[503] | 15 | !!---------------------------------------------------------------------- |
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[457] | 16 | !! tra_ldf_iso : update the tracer trend with the horizontal |
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| 17 | !! component of a iso-neutral laplacian operator |
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| 18 | !! and with the vertical part of |
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| 19 | !! the isopycnal or geopotential s-coord. operator |
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[3] | 20 | !!---------------------------------------------------------------------- |
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[457] | 21 | USE oce ! ocean dynamics and active tracers |
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| 22 | USE dom_oce ! ocean space and time domain |
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[74] | 23 | USE ldftra_oce ! ocean active tracers: lateral physics |
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[216] | 24 | USE trdmod ! ocean active tracers trends |
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| 25 | USE trdmod_oce ! ocean variables trends |
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[457] | 26 | USE zdf_oce ! ocean vertical physics |
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[3] | 27 | USE in_out_manager ! I/O manager |
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| 28 | USE ldfslp ! iso-neutral slopes |
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[132] | 29 | USE diaptr ! poleward transport diagnostics |
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[258] | 30 | USE prtctl ! Print control |
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[3] | 31 | |
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| 32 | IMPLICIT NONE |
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| 33 | PRIVATE |
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| 34 | |
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[503] | 35 | PUBLIC tra_ldf_iso ! routine called by step.F90 |
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[3] | 36 | |
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| 37 | !! * Substitutions |
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| 38 | # include "domzgr_substitute.h90" |
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| 39 | # include "ldftra_substitute.h90" |
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| 40 | # include "vectopt_loop_substitute.h90" |
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| 41 | !!---------------------------------------------------------------------- |
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[457] | 42 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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[719] | 43 | !! $Header$ |
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[503] | 44 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[247] | 45 | !!---------------------------------------------------------------------- |
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[457] | 46 | |
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[3] | 47 | CONTAINS |
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| 48 | |
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| 49 | SUBROUTINE tra_ldf_iso( kt ) |
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| 50 | !!---------------------------------------------------------------------- |
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| 51 | !! *** ROUTINE tra_ldf_iso *** |
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[457] | 52 | !! |
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[3] | 53 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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[457] | 54 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
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| 55 | !! add it to the general trend of tracer equation. |
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[3] | 56 | !! |
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| 57 | !! ** Method : The horizontal component of the lateral diffusive trends |
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| 58 | !! is 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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[457] | 63 | !! 1st part : masked horizontal derivative of T & S ( di[ t ] ) |
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| 64 | !! ======== with partial cell update if ln_zps=T. |
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| 65 | !! |
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| 66 | !! 2nd part : horizontal fluxes of the lateral mixing operator |
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| 67 | !! ======== |
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[3] | 68 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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| 69 | !! - aht e2u*uslp dk[ mi(mk(tb)) ] |
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| 70 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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| 71 | !! - aht e2u*vslp dk[ mj(mk(tb)) ] |
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| 72 | !! take the horizontal divergence of the fluxes: |
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| 73 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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| 74 | !! Add this trend to the general trend (ta,sa): |
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| 75 | !! ta = ta + difft |
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| 76 | !! |
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[457] | 77 | !! 3rd part: vertical trends of the lateral mixing operator |
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| 78 | !! ======== (excluding the vertical flux proportional to dk[t] ) |
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| 79 | !! vertical fluxes associated with the rotated lateral mixing: |
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| 80 | !! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ] |
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| 81 | !! + e1t*wslpj dj[ mj(mk(tb)) ] } |
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| 82 | !! take the horizontal divergence of the fluxes: |
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| 83 | !! difft = 1/(e1t*e2t*e3t) dk[ zftw ] |
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| 84 | !! Add this trend to the general trend (ta,sa): |
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| 85 | !! ta = ta + difft |
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[3] | 86 | !! |
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[503] | 87 | !! ** Action : Update (ta,sa) arrays with the before rotated diffusion |
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| 88 | !! trend (except the dk[ dk[.] ] term) |
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| 89 | !!---------------------------------------------------------------------- |
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| 90 | USE oce , zftv => ua ! use ua as workspace |
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| 91 | USE oce , zfsv => va ! use va as workspace |
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[457] | 92 | !! |
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[503] | 93 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 94 | !! |
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| 95 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 96 | INTEGER :: iku, ikv ! temporary integer |
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| 97 | REAL(wp) :: zmsku, zabe1, zcof1, zcoef3, zta ! temporary scalars |
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| 98 | REAL(wp) :: zmskv, zabe2, zcof2, zcoef4, zsa ! " " |
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| 99 | REAL(wp) :: zcoef0, zbtr ! " " |
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| 100 | REAL(wp), DIMENSION(jpi,jpj) :: zdkt , zdk1t, zftu ! 2D workspace |
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| 101 | REAL(wp), DIMENSION(jpi,jpj) :: zdks , zdk1s, zfsu ! " " |
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| 102 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdit, zdjt, ztfw ! 3D workspace |
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| 103 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdis, zdjs, zsfw ! " " |
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[3] | 104 | !!---------------------------------------------------------------------- |
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| 105 | |
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| 106 | IF( kt == nit000 ) THEN |
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| 107 | IF(lwp) WRITE(numout,*) |
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[457] | 108 | IF(lwp) WRITE(numout,*) 'tra_ldf_iso : rotated laplacian diffusion operator' |
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| 109 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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[3] | 110 | ENDIF |
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| 111 | |
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[457] | 112 | !!---------------------------------------------------------------------- |
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| 113 | !! I - masked horizontal derivative of T & S |
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| 114 | !!---------------------------------------------------------------------- |
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| 115 | !!bug ajout.... why? ( 1,jpj,:) and (jpi,1,:) should be sufficient.... |
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| 116 | zdit (1,:,:) = 0.e0 ; zdit (jpi,:,:) = 0.e0 |
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| 117 | zdis (1,:,:) = 0.e0 ; zdis (jpi,:,:) = 0.e0 |
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| 118 | zdjt (1,:,:) = 0.e0 ; zdjt (jpi,:,:) = 0.e0 |
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| 119 | zdjs (1,:,:) = 0.e0 ; zdjs (jpi,:,:) = 0.e0 |
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| 120 | !!end |
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| 121 | |
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| 122 | ! Horizontal temperature and salinity gradient |
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| 123 | DO jk = 1, jpkm1 |
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| 124 | DO jj = 1, jpjm1 |
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| 125 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 126 | zdit(ji,jj,jk) = ( tb(ji+1,jj ,jk) - tb(ji,jj,jk) ) * umask(ji,jj,jk) |
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| 127 | zdis(ji,jj,jk) = ( sb(ji+1,jj ,jk) - sb(ji,jj,jk) ) * umask(ji,jj,jk) |
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| 128 | zdjt(ji,jj,jk) = ( tb(ji ,jj+1,jk) - tb(ji,jj,jk) ) * vmask(ji,jj,jk) |
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| 129 | zdjs(ji,jj,jk) = ( sb(ji ,jj+1,jk) - sb(ji,jj,jk) ) * vmask(ji,jj,jk) |
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| 130 | END DO |
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| 131 | END DO |
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| 132 | END DO |
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| 133 | IF( ln_zps ) THEN ! partial steps correction at the last level |
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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 | ! last level |
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| 137 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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| 138 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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| 139 | zdit(ji,jj,iku) = gtu(ji,jj) |
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| 140 | zdis(ji,jj,iku) = gsu(ji,jj) |
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| 141 | zdjt(ji,jj,ikv) = gtv(ji,jj) |
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| 142 | zdjs(ji,jj,ikv) = gsv(ji,jj) |
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| 143 | END DO |
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| 144 | END DO |
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[216] | 145 | ENDIF |
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[3] | 146 | |
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[457] | 147 | !!---------------------------------------------------------------------- |
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| 148 | !! II - horizontal trend of T & S (full) |
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| 149 | !!---------------------------------------------------------------------- |
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| 150 | |
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| 151 | !CDIR PARALLEL DO PRIVATE( zdk1t, zdk1s, zftu, zfsu ) |
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[3] | 152 | ! ! =============== |
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| 153 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 154 | ! ! =============== |
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| 155 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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| 156 | ! ------------------------------------------------ |
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| 157 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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| 158 | |
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| 159 | zdk1t(:,:) = ( tb(:,:,jk) - tb(:,:,jk+1) ) * tmask(:,:,jk+1) |
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| 160 | zdk1s(:,:) = ( sb(:,:,jk) - sb(:,:,jk+1) ) * tmask(:,:,jk+1) |
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| 161 | |
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| 162 | IF( jk == 1 ) THEN |
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| 163 | zdkt(:,:) = zdk1t(:,:) |
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| 164 | zdks(:,:) = zdk1s(:,:) |
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| 165 | ELSE |
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| 166 | zdkt(:,:) = ( tb(:,:,jk-1) - tb(:,:,jk) ) * tmask(:,:,jk) |
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| 167 | zdks(:,:) = ( sb(:,:,jk-1) - sb(:,:,jk) ) * tmask(:,:,jk) |
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| 168 | ENDIF |
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| 169 | |
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| 170 | |
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| 171 | ! 2. Horizontal fluxes |
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| 172 | ! -------------------- |
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| 173 | |
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| 174 | DO jj = 1 , jpjm1 |
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| 175 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 176 | zabe1 = ( fsahtu(ji,jj,jk) + ahtb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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| 177 | zabe2 = ( fsahtv(ji,jj,jk) + ahtb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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| 178 | |
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[457] | 179 | zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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| 180 | & + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. ) |
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[3] | 181 | |
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[457] | 182 | zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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| 183 | & + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. ) |
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[3] | 184 | |
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| 185 | zcof1 = -fsahtu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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| 186 | zcof2 = -fsahtv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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| 187 | |
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[457] | 188 | zftu(ji,jj ) = ( zabe1 * zdit(ji,jj,jk) & |
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| 189 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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| 190 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) * umask(ji,jj,jk) |
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| 191 | zftv(ji,jj,jk) = ( zabe2 * zdjt(ji,jj,jk) & |
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| 192 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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| 193 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) * vmask(ji,jj,jk) |
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| 194 | zfsu(ji,jj ) = ( zabe1 * zdis(ji,jj,jk) & |
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| 195 | & + zcof1 * ( zdks (ji+1,jj) + zdk1s(ji,jj) & |
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| 196 | & + zdk1s(ji+1,jj) + zdks (ji,jj) ) ) * umask(ji,jj,jk) |
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| 197 | zfsv(ji,jj,jk) = ( zabe2 * zdjs(ji,jj,jk) & |
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| 198 | & + zcof2 * ( zdks (ji,jj+1) + zdk1s(ji,jj) & |
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| 199 | & + zdk1s(ji,jj+1) + zdks (ji,jj) ) ) * vmask(ji,jj,jk) |
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[3] | 200 | END DO |
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| 201 | END DO |
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| 202 | |
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| 203 | |
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| 204 | ! II.4 Second derivative (divergence) and add to the general trend |
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| 205 | ! ---------------------------------------------------------------- |
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| 206 | DO jj = 2 , jpjm1 |
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| 207 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 208 | zbtr= 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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[457] | 209 | zta = zbtr * ( zftu(ji,jj ) - zftu(ji-1,jj ) + zftv(ji,jj,jk) - zftv(ji,jj-1,jk) ) |
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| 210 | zsa = zbtr * ( zfsu(ji,jj ) - zfsu(ji-1,jj ) + zfsv(ji,jj,jk) - zfsv(ji,jj-1,jk) ) |
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[3] | 211 | ta (ji,jj,jk) = ta (ji,jj,jk) + zta |
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| 212 | sa (ji,jj,jk) = sa (ji,jj,jk) + zsa |
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| 213 | END DO |
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| 214 | END DO |
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| 215 | ! ! =============== |
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| 216 | END DO ! End of slab |
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| 217 | ! ! =============== |
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| 218 | |
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[503] | 219 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN ! Poleward diffusive heat and salt transports |
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[132] | 220 | pht_ldf(:) = ptr_vj( zftv(:,:,:) ) |
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| 221 | pst_ldf(:) = ptr_vj( zfsv(:,:,:) ) |
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[3] | 222 | ENDIF |
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| 223 | |
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[457] | 224 | !!---------------------------------------------------------------------- |
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| 225 | !! III - vertical trend of T & S (extra diagonal terms only) |
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| 226 | !!---------------------------------------------------------------------- |
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| 227 | |
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| 228 | ! Local constant initialization |
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| 229 | ! ----------------------------- |
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| 230 | ztfw(1,:,:) = 0.e0 ; ztfw(jpi,:,:) = 0.e0 |
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| 231 | zsfw(1,:,:) = 0.e0 ; zsfw(jpi,:,:) = 0.e0 |
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| 232 | |
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| 233 | |
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| 234 | ! Vertical fluxes |
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| 235 | ! --------------- |
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| 236 | |
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| 237 | ! Surface and bottom vertical fluxes set to zero |
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| 238 | ztfw(:,:, 1 ) = 0.e0 ; ztfw(:,:,jpk) = 0.e0 |
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| 239 | zsfw(:,:, 1 ) = 0.e0 ; zsfw(:,:,jpk) = 0.e0 |
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| 240 | |
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| 241 | ! interior (2=<jk=<jpk-1) |
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| 242 | DO jk = 2, jpkm1 |
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| 243 | DO jj = 2, jpjm1 |
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| 244 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 245 | zcoef0 = - fsahtw(ji,jj,jk) * tmask(ji,jj,jk) |
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| 246 | |
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| 247 | zmsku = 1./MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
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| 248 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1. ) |
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| 249 | |
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| 250 | zmskv = 1./MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
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| 251 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1. ) |
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| 252 | |
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| 253 | zcoef3 = zcoef0 * e2t(ji,jj) * zmsku * wslpi (ji,jj,jk) |
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| 254 | zcoef4 = zcoef0 * e1t(ji,jj) * zmskv * wslpj (ji,jj,jk) |
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| 255 | |
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| 256 | ztfw(ji,jj,jk) = zcoef3 * ( zdit(ji ,jj ,jk-1) + zdit(ji-1,jj ,jk) & |
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| 257 | & + zdit(ji-1,jj ,jk-1) + zdit(ji ,jj ,jk) ) & |
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| 258 | & + zcoef4 * ( zdjt(ji ,jj ,jk-1) + zdjt(ji ,jj-1,jk) & |
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| 259 | & + zdjt(ji ,jj-1,jk-1) + zdjt(ji ,jj ,jk) ) |
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| 260 | |
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| 261 | zsfw(ji,jj,jk) = zcoef3 * ( zdis(ji ,jj ,jk-1) + zdis(ji-1,jj ,jk) & |
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| 262 | & + zdis(ji-1,jj ,jk-1) + zdis(ji ,jj ,jk) ) & |
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| 263 | & + zcoef4 * ( zdjs(ji ,jj ,jk-1) + zdjs(ji ,jj-1,jk) & |
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| 264 | & + zdjs(ji ,jj-1,jk-1) + zdjs(ji ,jj ,jk) ) |
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| 265 | END DO |
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| 266 | END DO |
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| 267 | END DO |
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| 268 | |
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| 269 | |
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| 270 | ! I.5 Divergence of vertical fluxes added to the general tracer trend |
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| 271 | ! ------------------------------------------------------------------- |
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| 272 | |
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| 273 | DO jk = 1, jpkm1 |
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| 274 | DO jj = 2, jpjm1 |
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| 275 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 276 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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| 277 | zta = ( ztfw(ji,jj,jk) - ztfw(ji,jj,jk+1) ) * zbtr |
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| 278 | zsa = ( zsfw(ji,jj,jk) - zsfw(ji,jj,jk+1) ) * zbtr |
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| 279 | ta(ji,jj,jk) = ta(ji,jj,jk) + zta |
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| 280 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsa |
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| 281 | END DO |
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| 282 | END DO |
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| 283 | END DO |
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[503] | 284 | ! |
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[3] | 285 | END SUBROUTINE tra_ldf_iso |
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| 286 | |
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| 287 | #else |
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| 288 | !!---------------------------------------------------------------------- |
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[457] | 289 | !! default option : Dummy code NO rotation of the diffusive tensor |
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[3] | 290 | !!---------------------------------------------------------------------- |
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| 291 | CONTAINS |
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| 292 | SUBROUTINE tra_ldf_iso( kt ) ! Empty routine |
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[32] | 293 | WRITE(*,*) 'tra_ldf_iso: You should not have seen this print! error?', kt |
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[3] | 294 | END SUBROUTINE tra_ldf_iso |
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| 295 | #endif |
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| 296 | |
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| 297 | !!============================================================================== |
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| 298 | END MODULE traldf_iso |
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