[3] | 1 | MODULE traldf_lap |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traldf_lap *** |
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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 | |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! tra_ldf_lap : update the tracer trend with the horizontal diffusion |
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| 9 | !! using a iso-level harmonic (laplacien) operator. |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! * Modules used |
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| 12 | USE oce ! ocean dynamics and active tracers |
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| 13 | USE dom_oce ! ocean space and time domain |
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[74] | 14 | USE ldftra_oce ! ocean active tracers: lateral physics |
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[216] | 15 | USE trdmod ! ocean active tracers trends |
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| 16 | USE trdmod_oce ! ocean variables trends |
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[3] | 17 | USE in_out_manager ! I/O manager |
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[132] | 18 | USE diaptr ! poleward transport diagnostics |
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[258] | 19 | USE prtctl ! Print control |
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[3] | 20 | |
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[74] | 21 | |
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[3] | 22 | IMPLICIT NONE |
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| 23 | PRIVATE |
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| 24 | |
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| 25 | !! * Routine accessibility |
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| 26 | PUBLIC tra_ldf_lap ! routine called by step.F90 |
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| 27 | |
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| 28 | !! * Substitutions |
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| 29 | # include "domzgr_substitute.h90" |
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| 30 | # include "ldftra_substitute.h90" |
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| 31 | # include "vectopt_loop_substitute.h90" |
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| 32 | !!---------------------------------------------------------------------- |
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[247] | 33 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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[699] | 34 | !! $Id$ |
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[247] | 35 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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[3] | 36 | !!---------------------------------------------------------------------- |
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| 37 | |
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| 38 | CONTAINS |
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| 39 | |
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| 40 | SUBROUTINE tra_ldf_lap( kt ) |
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| 41 | !!---------------------------------------------------------------------- |
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| 42 | !! *** ROUTINE tra_ldf_lap *** |
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| 43 | !! |
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| 44 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 45 | !! trend and add it to the general trend of tracer equation. |
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| 46 | !! |
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| 47 | !! ** Method : Second order diffusive operator evaluated using before |
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| 48 | !! fields (forward time scheme). The horizontal diffusive trends of |
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| 49 | !! temperature (idem for salinity) is given by: |
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| 50 | !! difft = 1/(e1t*e2t*e3t) { di-1[ aht e2u*e3u/e1u di(tb) ] |
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| 51 | !! + dj-1[ aht e1v*e3v/e2v dj(tb) ] } |
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[457] | 52 | !! Note: key_zco defined, the e3t=e3u=e3v, the trend becomes: |
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[3] | 53 | !! difft = 1/(e1t*e2t) { di-1[ aht e2u/e1u di(tb) ] |
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| 54 | !! + dj-1[ aht e1v/e2v dj(tb) ] } |
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| 55 | !! Add this trend to the general tracer trend (ta,sa): |
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| 56 | !! (ta,sa) = (ta,sa) + ( difft , diffs ) |
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| 57 | !! |
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| 58 | !! ** Action : - Update (ta,sa) arrays with the before iso-level |
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| 59 | !! harmonic mixing trend. |
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| 60 | !! |
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| 61 | !! History : |
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| 62 | !! 1.0 ! 87-06 (P. Andrich, D. L Hostis) Original code |
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| 63 | !! ! 91-11 (G. Madec) |
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| 64 | !! ! 95-11 (G. Madec) suppress volumetric scale factors |
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| 65 | !! ! 96-01 (G. Madec) statement function for e3 |
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| 66 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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[216] | 67 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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[457] | 68 | !! ! 05-11 (G. Madec) add zps case |
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[3] | 69 | !!---------------------------------------------------------------------- |
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| 70 | USE oce , ztu => ua, & ! use ua as workspace |
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| 71 | & zsu => va ! use va as workspace |
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| 72 | |
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| 73 | !! * Arguments |
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| 74 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 75 | |
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| 76 | !! * Local save |
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| 77 | REAL(wp), DIMENSION(jpi,jpj), SAVE :: & |
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| 78 | ze1ur, ze2vr, zbtr2 ! scale factor coefficients |
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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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[457] | 82 | INTEGER :: iku, ikv ! temporary integers |
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[3] | 83 | REAL(wp) :: & |
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[457] | 84 | zabe1, zta, & ! temporary scalars |
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| 85 | zabe2, zsa, zbtr ! " " |
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[3] | 86 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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[457] | 87 | ztv, zsv ! 3D workspace |
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[3] | 88 | !!---------------------------------------------------------------------- |
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| 89 | |
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| 90 | IF( kt == nit000 ) THEN |
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| 91 | IF(lwp) WRITE(numout,*) |
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| 92 | IF(lwp) WRITE(numout,*) 'tra_ldf_lap : iso-level laplacian diffusion' |
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| 93 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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| 94 | ze1ur(:,:) = e2u(:,:) / e1u(:,:) |
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| 95 | ze2vr(:,:) = e1v(:,:) / e2v(:,:) |
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| 96 | zbtr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) |
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| 97 | ENDIF |
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| 98 | |
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| 99 | ! ! ============= |
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| 100 | DO jk = 1, jpkm1 ! Vertical slab |
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| 101 | ! ! ============= |
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| 102 | ! 1. First derivative (gradient) |
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| 103 | ! ------------------- |
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| 104 | DO jj = 1, jpjm1 |
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| 105 | DO ji = 1, fs_jpim1 ! vector opt. |
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[457] | 106 | #if defined key_zco |
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| 107 | zabe1 = fsahtu(ji,jj,jk) * umask(ji,jj,jk) * ze1ur(ji,jj) |
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| 108 | zabe2 = fsahtv(ji,jj,jk) * vmask(ji,jj,jk) * ze2vr(ji,jj) |
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| 109 | #else |
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[3] | 110 | zabe1 = fsahtu(ji,jj,jk) * umask(ji,jj,jk) * ze1ur(ji,jj) * fse3u(ji,jj,jk) |
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| 111 | zabe2 = fsahtv(ji,jj,jk) * vmask(ji,jj,jk) * ze2vr(ji,jj) * fse3v(ji,jj,jk) |
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| 112 | #endif |
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| 113 | ztu(ji,jj,jk) = zabe1 * ( tb(ji+1,jj ,jk) - tb(ji,jj,jk) ) |
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| 114 | zsu(ji,jj,jk) = zabe1 * ( sb(ji+1,jj ,jk) - sb(ji,jj,jk) ) |
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| 115 | ztv(ji,jj,jk) = zabe2 * ( tb(ji ,jj+1,jk) - tb(ji,jj,jk) ) |
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| 116 | zsv(ji,jj,jk) = zabe2 * ( sb(ji ,jj+1,jk) - sb(ji,jj,jk) ) |
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| 117 | END DO |
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| 118 | END DO |
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[457] | 119 | IF( ln_zps ) THEN ! set gradient at partial step level |
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| 120 | DO jj = 1, jpjm1 |
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| 121 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 122 | ! last level |
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| 123 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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| 124 | ikv = MIN ( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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| 125 | IF( iku == jk ) THEN |
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| 126 | zabe1 = fsahtu(ji,jj,iku) * umask(ji,jj,iku) * ze1ur(ji,jj) * fse3u(ji,jj,iku) |
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| 127 | ztu(ji,jj,jk) = zabe1 * gtu(ji,jj) |
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| 128 | zsu(ji,jj,jk) = zabe1 * gsu(ji,jj) |
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| 129 | ENDIF |
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| 130 | IF( ikv == jk ) THEN |
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| 131 | zabe2 = fsahtv(ji,jj,ikv) * vmask(ji,jj,ikv) * ze2vr(ji,jj) * fse3v(ji,jj,ikv) |
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| 132 | ztv(ji,jj,jk) = zabe2 * gtv(ji,jj) |
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| 133 | zsv(ji,jj,jk) = zabe2 * gsv(ji,jj) |
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| 134 | ENDIF |
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| 135 | END DO |
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| 136 | END DO |
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| 137 | ENDIF |
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[3] | 138 | |
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| 139 | |
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| 140 | ! 2. Second derivative (divergence) |
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| 141 | ! -------------------- |
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| 142 | DO jj = 2, jpjm1 |
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| 143 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[457] | 144 | #if defined key_zco |
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| 145 | zbtr = zbtr2(ji,jj) |
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| 146 | #else |
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[3] | 147 | zbtr = zbtr2(ji,jj) / fse3t(ji,jj,jk) |
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| 148 | #endif |
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| 149 | ! horizontal diffusive trends |
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| 150 | zta = zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) & |
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| 151 | & + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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| 152 | zsa = zbtr * ( zsu(ji,jj,jk) - zsu(ji-1,jj,jk) & |
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| 153 | & + zsv(ji,jj,jk) - zsv(ji,jj-1,jk) ) |
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| 154 | ! add it to the general tracer trends |
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| 155 | ta(ji,jj,jk) = ta(ji,jj,jk) + zta |
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| 156 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsa |
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| 157 | END DO |
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| 158 | END DO |
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| 159 | ! ! ============= |
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| 160 | END DO ! End of slab |
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| 161 | ! ! ============= |
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| 162 | |
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| 163 | ! "zonal" mean lateral diffusive heat and salt transport |
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[132] | 164 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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[457] | 165 | IF( lk_zco ) THEN ! z-coordinate - full step (1D arrays) |
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| 166 | DO jk = 1, jpkm1 |
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| 167 | DO jj = 2, jpjm1 |
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| 168 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 169 | ztv(ji,jj,jk) = ztv(ji,jj,jk) * fse3v(ji,jj,jk) |
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| 170 | zsv(ji,jj,jk) = zsv(ji,jj,jk) * fse3v(ji,jj,jk) |
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| 171 | END DO |
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[3] | 172 | END DO |
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| 173 | END DO |
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[457] | 174 | ENDIF |
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[132] | 175 | pht_ldf(:) = ptr_vj( ztv(:,:,:) ) |
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| 176 | pst_ldf(:) = ptr_vj( zsv(:,:,:) ) |
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[3] | 177 | ENDIF |
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| 178 | |
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| 179 | END SUBROUTINE tra_ldf_lap |
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| 180 | |
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| 181 | !!============================================================================== |
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| 182 | END MODULE traldf_lap |
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