[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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| 15 | USE trdtra_oce ! ocean active tracer trends |
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[3] | 16 | USE in_out_manager ! I/O manager |
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[132] | 17 | USE diaptr ! poleward transport diagnostics |
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[3] | 18 | |
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[74] | 19 | |
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[3] | 20 | IMPLICIT NONE |
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| 21 | PRIVATE |
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| 22 | |
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| 23 | !! * Routine accessibility |
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| 24 | PUBLIC tra_ldf_lap ! routine called by step.F90 |
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| 25 | |
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| 26 | !! * Substitutions |
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| 27 | # include "domzgr_substitute.h90" |
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| 28 | # include "ldftra_substitute.h90" |
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| 29 | # include "vectopt_loop_substitute.h90" |
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| 30 | !!---------------------------------------------------------------------- |
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| 31 | !! OPA 9.0 , LODYC-IPSL (2003) |
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| 32 | !!---------------------------------------------------------------------- |
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| 33 | |
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| 34 | CONTAINS |
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| 35 | |
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| 36 | SUBROUTINE tra_ldf_lap( kt ) |
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| 37 | !!---------------------------------------------------------------------- |
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| 38 | !! *** ROUTINE tra_ldf_lap *** |
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| 39 | !! |
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| 40 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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| 41 | !! trend and add it to the general trend of tracer equation. |
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| 42 | !! |
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| 43 | !! ** Method : Second order diffusive operator evaluated using before |
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| 44 | !! fields (forward time scheme). The horizontal diffusive trends of |
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| 45 | !! temperature (idem for salinity) is given by: |
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| 46 | !! * s-coordinate ('key_s_coord' defined), the vertical scale |
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| 47 | !! factors e3. are inside the derivatives: |
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| 48 | !! difft = 1/(e1t*e2t*e3t) { di-1[ aht e2u*e3u/e1u di(tb) ] |
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| 49 | !! + dj-1[ aht e1v*e3v/e2v dj(tb) ] } |
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| 50 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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| 51 | !! difft = 1/(e1t*e2t) { di-1[ aht e2u/e1u di(tb) ] |
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| 52 | !! + dj-1[ aht e1v/e2v dj(tb) ] } |
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| 53 | !! Add this trend to the general tracer trend (ta,sa): |
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| 54 | !! (ta,sa) = (ta,sa) + ( difft , diffs ) |
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| 55 | !! |
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| 56 | !! ** Action : - Update (ta,sa) arrays with the before iso-level |
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| 57 | !! harmonic mixing trend. |
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| 58 | !! - Save the trends in (ttrd,strd) ('key_diatrends') |
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| 59 | !! |
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| 60 | !! History : |
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| 61 | !! 1.0 ! 87-06 (P. Andrich, D. L Hostis) Original code |
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| 62 | !! ! 91-11 (G. Madec) |
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| 63 | !! ! 95-11 (G. Madec) suppress volumetric scale factors |
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| 64 | !! ! 96-01 (G. Madec) statement function for e3 |
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| 65 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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| 66 | !!---------------------------------------------------------------------- |
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| 67 | USE oce , ztu => ua, & ! use ua as workspace |
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| 68 | & zsu => va ! use va as workspace |
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| 69 | |
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| 70 | !! * Arguments |
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| 71 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 72 | |
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| 73 | !! * Local save |
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| 74 | REAL(wp), DIMENSION(jpi,jpj), SAVE :: & |
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| 75 | ze1ur, ze2vr, zbtr2 ! scale factor coefficients |
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| 76 | |
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| 77 | !! * Local declarations |
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| 78 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 79 | REAL(wp) :: & |
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| 80 | zabe1, zabe2, zbtr, zta, zsa ! temporary scalars |
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| 81 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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| 82 | ztv, zsv ! workspace |
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| 83 | !!---------------------------------------------------------------------- |
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| 84 | |
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| 85 | IF( kt == nit000 ) THEN |
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| 86 | IF(lwp) WRITE(numout,*) |
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| 87 | IF(lwp) WRITE(numout,*) 'tra_ldf_lap : iso-level laplacian diffusion' |
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| 88 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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| 89 | ze1ur(:,:) = e2u(:,:) / e1u(:,:) |
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| 90 | ze2vr(:,:) = e1v(:,:) / e2v(:,:) |
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| 91 | zbtr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) |
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| 92 | ENDIF |
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| 93 | |
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| 94 | ! ! ============= |
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| 95 | DO jk = 1, jpkm1 ! Vertical slab |
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| 96 | ! ! ============= |
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| 97 | ! 1. First derivative (gradient) |
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| 98 | ! ------------------- |
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| 99 | DO jj = 1, jpjm1 |
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| 100 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 101 | #if defined key_s_coord |
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| 102 | zabe1 = fsahtu(ji,jj,jk) * umask(ji,jj,jk) * ze1ur(ji,jj) * fse3u(ji,jj,jk) |
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| 103 | zabe2 = fsahtv(ji,jj,jk) * vmask(ji,jj,jk) * ze2vr(ji,jj) * fse3v(ji,jj,jk) |
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| 104 | #else |
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| 105 | zabe1 = fsahtu(ji,jj,jk) * umask(ji,jj,jk) * ze1ur(ji,jj) |
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| 106 | zabe2 = fsahtv(ji,jj,jk) * vmask(ji,jj,jk) * ze2vr(ji,jj) |
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| 107 | #endif |
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| 108 | ztu(ji,jj,jk) = zabe1 * ( tb(ji+1,jj ,jk) - tb(ji,jj,jk) ) |
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| 109 | zsu(ji,jj,jk) = zabe1 * ( sb(ji+1,jj ,jk) - sb(ji,jj,jk) ) |
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| 110 | ztv(ji,jj,jk) = zabe2 * ( tb(ji ,jj+1,jk) - tb(ji,jj,jk) ) |
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| 111 | zsv(ji,jj,jk) = zabe2 * ( sb(ji ,jj+1,jk) - sb(ji,jj,jk) ) |
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| 112 | END DO |
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| 113 | END DO |
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| 114 | |
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| 115 | |
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| 116 | ! 2. Second derivative (divergence) |
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| 117 | ! -------------------- |
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| 118 | DO jj = 2, jpjm1 |
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| 119 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 120 | #if defined key_s_coord |
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| 121 | zbtr = zbtr2(ji,jj) / fse3t(ji,jj,jk) |
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| 122 | #else |
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| 123 | zbtr = zbtr2(ji,jj) |
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| 124 | #endif |
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| 125 | ! horizontal diffusive trends |
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| 126 | zta = zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) & |
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| 127 | & + ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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| 128 | zsa = zbtr * ( zsu(ji,jj,jk) - zsu(ji-1,jj,jk) & |
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| 129 | & + zsv(ji,jj,jk) - zsv(ji,jj-1,jk) ) |
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| 130 | ! add it to the general tracer trends |
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| 131 | ta(ji,jj,jk) = ta(ji,jj,jk) + zta |
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| 132 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsa |
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| 133 | #if defined key_trdtra || defined key_trdmld |
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| 134 | ! save the horizontal diffusive trends |
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| 135 | ttrd(ji,jj,jk,3) = zta |
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| 136 | strd(ji,jj,jk,3) = zsa |
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| 137 | #endif |
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| 138 | END DO |
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| 139 | END DO |
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| 140 | ! ! ============= |
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| 141 | END DO ! End of slab |
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| 142 | ! ! ============= |
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| 143 | |
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[106] | 144 | IF(l_ctl) THEN ! print mean trends (used for debugging) |
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| 145 | zta = SUM( ta(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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| 146 | zsa = SUM( sa(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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[74] | 147 | WRITE(numout,*) ' ldf - Ta: ', zta-t_ctl, ' Sa: ', zsa-s_ctl |
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| 148 | t_ctl = zta ; s_ctl = zsa |
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| 149 | ENDIF |
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| 150 | |
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[3] | 151 | ! "zonal" mean lateral diffusive heat and salt transport |
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[132] | 152 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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[3] | 153 | # if defined key_s_coord || defined key_partial_steps |
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[132] | 154 | pht_ldf(:) = ptr_vj( ztv(:,:,:) ) |
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| 155 | pst_ldf(:) = ptr_vj( zsv(:,:,:) ) |
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[3] | 156 | # else |
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| 157 | DO jk = 1, jpkm1 |
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| 158 | DO jj = 2, jpjm1 |
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| 159 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 160 | ztv(ji,jj,jk) = ztv(ji,jj,jk) * fse3v(ji,jj,jk) |
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| 161 | zsv(ji,jj,jk) = zsv(ji,jj,jk) * fse3v(ji,jj,jk) |
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| 162 | END DO |
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| 163 | END DO |
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| 164 | END DO |
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[132] | 165 | pht_ldf(:) = ptr_vj( ztv(:,:,:) ) |
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| 166 | pst_ldf(:) = ptr_vj( zsv(:,:,:) ) |
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[3] | 167 | # endif |
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| 168 | ENDIF |
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| 169 | |
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| 170 | END SUBROUTINE tra_ldf_lap |
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| 171 | |
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| 172 | !!============================================================================== |
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| 173 | END MODULE traldf_lap |
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