[3] | 1 | MODULE traldf_lap |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traldf_lap *** |
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[2024] | 4 | !! Ocean tracers: horizontal component of the lateral tracer mixing trend |
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[3] | 5 | !!============================================================================== |
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[2024] | 6 | !! History : OPA ! 87-06 (P. Andrich, D. L Hostis) Original code |
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| 7 | !! ! 91-11 (G. Madec) |
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| 8 | !! ! 95-11 (G. Madec) suppress volumetric scale factors |
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| 9 | !! ! 96-01 (G. Madec) statement function for e3 |
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| 10 | !! NEMO ! 02-06 (G. Madec) F90: Free form and module |
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| 11 | !! 1.0 ! 04-08 (C. Talandier) New trends organization |
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| 12 | !! ! 05-11 (G. Madec) add zps case |
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| 13 | !! 3.0 ! 10-06 (C. Ethe, G. Madec) Merge TRA-TRC |
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[3] | 14 | !!---------------------------------------------------------------------- |
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[2104] | 15 | |
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[2024] | 16 | !!---------------------------------------------------------------------- |
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[3] | 17 | !! tra_ldf_lap : update the tracer trend with the horizontal diffusion |
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| 18 | !! using a iso-level harmonic (laplacien) operator. |
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| 19 | !!---------------------------------------------------------------------- |
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| 20 | USE oce ! ocean dynamics and active tracers |
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| 21 | USE dom_oce ! ocean space and time domain |
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[74] | 22 | USE ldftra_oce ! ocean active tracers: lateral physics |
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[3] | 23 | USE in_out_manager ! I/O manager |
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[132] | 24 | USE diaptr ! poleward transport diagnostics |
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[2082] | 25 | USE trc_oce ! share passive tracers/Ocean variables |
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[3] | 26 | |
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| 27 | IMPLICIT NONE |
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| 28 | PRIVATE |
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| 29 | |
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[2104] | 30 | PUBLIC tra_ldf_lap ! routine called by step.F90 |
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[3] | 31 | |
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[2024] | 32 | REAL(wp), DIMENSION(jpi,jpj) :: e1ur, e2vr ! scale factor coefficients |
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| 33 | |
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[3] | 34 | !! * Substitutions |
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| 35 | # include "domzgr_substitute.h90" |
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| 36 | # include "ldftra_substitute.h90" |
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| 37 | # include "vectopt_loop_substitute.h90" |
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| 38 | !!---------------------------------------------------------------------- |
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[2287] | 39 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[2104] | 40 | !! $Id$ |
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[2399] | 41 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 42 | !!---------------------------------------------------------------------- |
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| 43 | CONTAINS |
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| 44 | |
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[2399] | 45 | SUBROUTINE tra_ldf_lap( kt, cdtype, pgu, pgv, & |
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[2034] | 46 | & ptb, pta, kjpt ) |
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[3] | 47 | !!---------------------------------------------------------------------- |
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| 48 | !! *** ROUTINE tra_ldf_lap *** |
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| 49 | !! |
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| 50 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 51 | !! trend and add it to the general trend of tracer equation. |
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| 52 | !! |
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| 53 | !! ** Method : Second order diffusive operator evaluated using before |
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| 54 | !! fields (forward time scheme). The horizontal diffusive trends of |
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[2024] | 55 | !! the tracer is given by: |
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[3] | 56 | !! difft = 1/(e1t*e2t*e3t) { di-1[ aht e2u*e3u/e1u di(tb) ] |
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| 57 | !! + dj-1[ aht e1v*e3v/e2v dj(tb) ] } |
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[2024] | 58 | !! Add this trend to the general tracer trend pta : |
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| 59 | !! pta = pta + difft |
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[3] | 60 | !! |
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[2024] | 61 | !! ** Action : - Update pta arrays with the before iso-level |
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[3] | 62 | !! harmonic mixing trend. |
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| 63 | !!---------------------------------------------------------------------- |
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[2024] | 64 | USE oce , ztu => ua ! use ua as workspace |
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| 65 | USE oce , ztv => va ! use va as workspace |
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[2034] | 66 | !! |
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[2104] | 67 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 68 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 69 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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| 70 | REAL(wp), DIMENSION(jpi,jpj ,kjpt), INTENT(in ) :: pgu, pgv ! tracer gradient at pstep levels |
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| 71 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before and now tracer fields |
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| 72 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
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[2034] | 73 | !! |
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[2104] | 74 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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| 75 | INTEGER :: iku, ikv ! local integers |
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| 76 | REAL(wp) :: zabe1, zabe2, zbtr ! local scalars |
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[3] | 77 | !!---------------------------------------------------------------------- |
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| 78 | |
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[2104] | 79 | IF( kt == nit000 ) THEN |
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[3] | 80 | IF(lwp) WRITE(numout,*) |
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[2082] | 81 | IF(lwp) WRITE(numout,*) 'tra_ldf_lap : iso-level laplacian diffusion on ', cdtype |
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[3] | 82 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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[2024] | 83 | e1ur(:,:) = e2u(:,:) / e1u(:,:) |
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| 84 | e2vr(:,:) = e1v(:,:) / e2v(:,:) |
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[3] | 85 | ENDIF |
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[2024] | 86 | |
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[2104] | 87 | ! ! =========== ! |
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| 88 | DO jn = 1, kjpt ! tracer loop ! |
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| 89 | ! ! =========== ! |
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| 90 | DO jk = 1, jpkm1 ! slab loop |
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[2024] | 91 | ! |
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| 92 | ! 1. First derivative (gradient) |
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| 93 | ! ------------------- |
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[457] | 94 | DO jj = 1, jpjm1 |
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| 95 | DO ji = 1, fs_jpim1 ! vector opt. |
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[2024] | 96 | zabe1 = fsahtu(ji,jj,jk) * umask(ji,jj,jk) * e1ur(ji,jj) * fse3u(ji,jj,jk) |
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| 97 | zabe2 = fsahtv(ji,jj,jk) * vmask(ji,jj,jk) * e2vr(ji,jj) * fse3v(ji,jj,jk) |
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[2034] | 98 | ztu(ji,jj,jk) = zabe1 * ( ptb(ji+1,jj ,jk,jn) - ptb(ji,jj,jk,jn) ) |
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| 99 | ztv(ji,jj,jk) = zabe2 * ( ptb(ji ,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
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[457] | 100 | END DO |
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| 101 | END DO |
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[2024] | 102 | IF( ln_zps ) THEN ! set gradient at partial step level |
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| 103 | DO jj = 1, jpjm1 |
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| 104 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 105 | ! last level |
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| 106 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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| 107 | ikv = MIN ( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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| 108 | IF( iku == jk ) THEN |
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| 109 | zabe1 = fsahtu(ji,jj,iku) * umask(ji,jj,iku) * e1ur(ji,jj) * fse3u(ji,jj,iku) |
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[2034] | 110 | ztu(ji,jj,jk) = zabe1 * pgu(ji,jj,jn) |
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[2024] | 111 | ENDIF |
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| 112 | IF( ikv == jk ) THEN |
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| 113 | zabe2 = fsahtv(ji,jj,ikv) * vmask(ji,jj,ikv) * e2vr(ji,jj) * fse3v(ji,jj,ikv) |
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[2034] | 114 | ztv(ji,jj,jk) = zabe2 * pgv(ji,jj,jn) |
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[2024] | 115 | ENDIF |
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| 116 | END DO |
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| 117 | END DO |
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| 118 | ENDIF |
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[3] | 119 | |
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| 120 | |
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[2024] | 121 | ! 2. Second derivative (divergence) added to the general tracer trends |
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| 122 | ! --------------------------------------------------------------------- |
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| 123 | DO jj = 2, jpjm1 |
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| 124 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 125 | zbtr = 1.0 / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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[2104] | 126 | ! horizontal diffusive trends added to the general tracer trends |
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| 127 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) & |
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| 128 | & + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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[3] | 129 | END DO |
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| 130 | END DO |
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[2104] | 131 | ! |
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[2024] | 132 | END DO ! End of slab |
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[2104] | 133 | ! |
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[2024] | 134 | ! "Poleward" diffusive heat or salt transports |
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[2399] | 135 | IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nn_fptr ) == 0 ) ) THEN |
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| 136 | IF( jn == jp_tem) htr_ldf(:) = ptr_vj( ztv(:,:,:) ) |
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| 137 | IF( jn == jp_sal) str_ldf(:) = ptr_vj( ztv(:,:,:) ) |
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[457] | 138 | ENDIF |
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[2104] | 139 | ! ! ================== |
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| 140 | END DO ! end of tracer loop |
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| 141 | ! ! ================== |
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[3] | 142 | END SUBROUTINE tra_ldf_lap |
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| 143 | |
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| 144 | !!============================================================================== |
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| 145 | END MODULE traldf_lap |
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