| 1 | MODULE ldfslp |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE ldfslp *** |
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| 4 | !! Ocean physics: slopes of neutral surfaces |
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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 lateral mixing tensor |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! ldf_slp : compute the slopes of neutral surface |
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| 11 | !! ldf_slp_mxl : compute the slopes of iso-neutral surface |
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| 12 | !! ldf_slp_init : initialization of the slopes computation |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! * Modules used |
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| 15 | USE oce ! ocean dynamics and tracers |
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| 16 | USE dom_oce ! ocean space and time domain |
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| 17 | USE ldftra_oce |
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| 18 | USE ldfdyn_oce |
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| 19 | USE phycst ! physical constants |
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| 20 | USE zdfmxl ! mixed layer depth |
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| 21 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 22 | USE in_out_manager ! I/O manager |
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| 23 | USE prtctl ! Print control |
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| 24 | |
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| 25 | IMPLICIT NONE |
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| 26 | PRIVATE |
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| 27 | |
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| 28 | !! * Accessibility |
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| 29 | PUBLIC ldf_slp ! routine called by step.F90 |
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| 30 | |
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| 31 | !! * Share module variables |
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| 32 | LOGICAL , PUBLIC, PARAMETER :: lk_ldfslp = .TRUE. !: slopes flag |
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| 33 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: & !: |
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| 34 | uslp, wslpi, & !: i_slope at U- and W-points |
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| 35 | vslp, wslpj !: j-slope at V- and W-points |
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| 36 | |
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| 37 | !! * Module variables |
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| 38 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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| 39 | omlmask ! mask of the surface mixed layer at T-pt |
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| 40 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 41 | uslpml, wslpiml, & ! i_slope at U- and W-points just below |
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| 42 | ! ! the surface mixed layer |
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| 43 | vslpml, wslpjml ! j_slope at V- and W-points just below |
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| 44 | ! ! the surface mixed layer |
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| 45 | |
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| 46 | !! * Substitutions |
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| 47 | # include "domzgr_substitute.h90" |
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| 48 | # include "vectopt_loop_substitute.h90" |
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| 49 | !!---------------------------------------------------------------------- |
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| 50 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 51 | !! $Header$ |
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| 52 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 53 | !!---------------------------------------------------------------------- |
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| 54 | |
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| 55 | CONTAINS |
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| 56 | |
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| 57 | SUBROUTINE ldf_slp( kt, prd, pn2 ) |
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| 58 | !!---------------------------------------------------------------------- |
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| 59 | !! *** ROUTINE ldf_slp *** |
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| 60 | !! |
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| 61 | !! ** Purpose : Compute the slopes of neutral surface (slope of iso- |
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| 62 | !! pycnal surfaces referenced locally) ('key_traldfiso'). |
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| 63 | !! |
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| 64 | !! ** Method : The slope in the i-direction is computed at U- and |
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| 65 | !! W-points (uslp, wslpi) and the slope in the j-direction is |
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| 66 | !! computed at V- and W-points (vslp, wslpj). |
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| 67 | !! They are bounded by 1/100 over the whole ocean, and within the |
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| 68 | !! surface layer they are bounded by the distance to the surface |
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| 69 | !! ( slope<= depth/l where l is the length scale of horizontal |
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| 70 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
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| 71 | !! of 10cm/s) |
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| 72 | !! A horizontal shapiro filter is applied to the slopes |
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| 73 | !! 'key_s_coord' defined: add to the previously computed slopes |
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| 74 | !! the slope of the model level surface. |
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| 75 | !! macro-tasked on horizontal slab (jk-loop) (2, jpk-1) |
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| 76 | !! [slopes already set to zero at level 1, and to zero or the ocean |
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| 77 | !! bottom slope ('key_s_coord' defined) at level jpk in inildf] |
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| 78 | !! |
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| 79 | !! ** Action : - uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
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| 80 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
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| 81 | !! |
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| 82 | !! History : |
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| 83 | !! 7.0 ! 94-12 (G. Madec, M. Imbard) Original code |
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| 84 | !! 8.0 ! 97-06 (G. Madec) optimization, lbc |
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| 85 | !! 8.1 ! 99-10 (A. Jouzeau) NEW profile |
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| 86 | !! 8.5 ! 99-10 (G. Madec) Free form, F90 |
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| 87 | !!---------------------------------------------------------------------- |
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| 88 | !! * Modules used |
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| 89 | USE oce , zgru => ua, & ! use ua as workspace |
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| 90 | zgrv => va, & ! use va as workspace |
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| 91 | zwy => ta, & ! use ta as workspace |
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| 92 | zwz => sa ! use sa as workspace |
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| 93 | !! * Arguments |
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| 94 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 95 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
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| 96 | prd, & ! in situ density |
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| 97 | pn2 ! Brunt-Vaisala frequency (locally ref.) |
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| 98 | |
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| 99 | !! * Local declarations |
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| 100 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 101 | INTEGER :: ii0, ii1, ij0, ij1 ! temporary integer |
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| 102 | #if defined key_partial_steps |
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| 103 | INTEGER :: iku, ikv ! temporary integers |
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| 104 | #endif |
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| 105 | REAL(wp) :: & |
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| 106 | zeps, zmg, zm05g, zcoef1, zcoef2, & ! temporary scalars |
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| 107 | zau, zbu, zav, zbv, & |
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| 108 | zai, zbi, zaj, zbj, & |
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| 109 | zcofu, zcofv, zcofw, & |
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| 110 | z1u, z1v, z1wu, z1wv, & |
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| 111 | zalpha |
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| 112 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zww |
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| 113 | !!---------------------------------------------------------------------- |
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| 114 | |
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| 115 | |
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| 116 | ! 0. Initialization (first time-step only) |
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| 117 | ! -------------- |
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| 118 | |
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| 119 | IF( kt == nit000 ) CALL ldf_slp_init |
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| 120 | |
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| 121 | |
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| 122 | ! 0. Local constant initialization |
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| 123 | ! -------------------------------- |
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| 124 | |
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| 125 | zeps = 1.e-20 |
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| 126 | zmg = -1.0 / grav |
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| 127 | zm05g = -0.5 / grav |
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| 128 | |
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| 129 | zww(:,:,:) = 0.e0 |
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| 130 | zwz(:,:,:) = 0.e0 |
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| 131 | |
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| 132 | ! horizontal density gradient computation |
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| 133 | DO jk = 1, jpk |
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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 | zgru(ji,jj,jk) = umask(ji,jj,jk) * ( prd(ji+1,jj ,jk) - prd(ji,jj,jk) ) |
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| 137 | zgrv(ji,jj,jk) = vmask(ji,jj,jk) * ( prd(ji ,jj+1,jk) - prd(ji,jj,jk) ) |
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| 138 | END DO |
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| 139 | END DO |
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| 140 | END DO |
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| 141 | |
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| 142 | #if defined key_partial_steps |
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| 143 | ! partial steps correction at the bottom ocean level (zps_hde routine) |
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| 144 | # if defined key_vectopt_loop && ! defined key_autotasking |
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| 145 | jj = 1 |
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| 146 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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| 147 | # else |
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| 148 | DO jj = 1, jpjm1 |
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| 149 | DO ji = 1, jpim1 |
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| 150 | # endif |
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| 151 | ! last ocean level |
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| 152 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
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| 153 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
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| 154 | zgru(ji,jj,iku) = gru(ji,jj) |
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| 155 | zgrv(ji,jj,ikv) = grv(ji,jj) |
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| 156 | # if ! defined key_vectopt_loop || defined key_autotasking |
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| 157 | END DO |
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| 158 | # endif |
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| 159 | END DO |
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| 160 | #endif |
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| 161 | |
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| 162 | ! Slopes of isopycnal surfaces just below the mixed layer |
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| 163 | ! ------------------------------------------------------- |
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| 164 | |
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| 165 | CALL ldf_slp_mxl( prd, pn2 ) |
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| 166 | |
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| 167 | !-------------------synchro--------------------------------------------- |
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| 168 | |
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| 169 | ! ! =============== |
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| 170 | DO jk = 2, jpkm1 ! Horizontal slab |
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| 171 | ! ! =============== |
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| 172 | |
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| 173 | ! I. slopes at u and v point |
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| 174 | ! =========================== |
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| 175 | |
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| 176 | |
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| 177 | ! I.1. Slopes of isopycnal surfaces |
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| 178 | ! --------------------------------- |
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| 179 | ! uslp = d/di( prd ) / d/dz( prd ) |
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| 180 | ! vslp = d/dj( prd ) / d/dz( prd ) |
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| 181 | |
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| 182 | ! Local vertical density gradient evaluated from N^2 |
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| 183 | ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point |
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| 184 | |
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| 185 | DO jj = 1, jpj |
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| 186 | DO ji = 1, jpi |
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| 187 | zwy(ji,jj,jk) = zmg * ( prd(ji,jj,jk) + 1. ) & |
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| 188 | & * ( pn2(ji,jj,jk) + pn2(ji,jj,jk+1) ) & |
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| 189 | & / MAX( tmask(ji,jj,jk) + tmask (ji,jj,jk+1), 1. ) |
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| 190 | END DO |
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| 191 | END DO |
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| 192 | |
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| 193 | ! Slope at u and v points |
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| 194 | DO jj = 2, jpjm1 |
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| 195 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 196 | ! horizontal and vertical density gradient at u- and v-points |
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| 197 | zau = 1. / e1u(ji,jj) * zgru(ji,jj,jk) |
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| 198 | zav = 1. / e2v(ji,jj) * zgrv(ji,jj,jk) |
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| 199 | zbu = 0.5 * ( zwy(ji,jj,jk) + zwy(ji+1,jj ,jk) ) |
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| 200 | zbv = 0.5 * ( zwy(ji,jj,jk) + zwy(ji ,jj+1,jk) ) |
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| 201 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
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| 202 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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| 203 | zbu = MIN( zbu, -100.*ABS( zau ), -7.e+3/fse3u(ji,jj,jk)*ABS( zau ) ) |
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| 204 | zbv = MIN( zbv, -100.*ABS( zav ), -7.e+3/fse3v(ji,jj,jk)*ABS( zav ) ) |
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| 205 | ! uslp and vslp output in zwz and zww, resp. |
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| 206 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji+1,jj,jk) ) |
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| 207 | #if defined key_s_coord |
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| 208 | zwz (ji,jj,jk) = ( zau / ( zbu - zeps ) * ( 1. - zalpha) & |
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| 209 | & + zalpha * uslpml(ji,jj) & |
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| 210 | & * ( fsdepu(ji,jj,jk) - .5*fse3u(ji,jj,1) ) & |
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| 211 | & / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 5. ) ) & |
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| 212 | & * umask(ji,jj,jk) |
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| 213 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji,jj+1,jk) ) |
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| 214 | zww (ji,jj,jk) = ( zav / ( zbv - zeps ) * ( 1. - zalpha) & |
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| 215 | & + zalpha * vslpml(ji,jj) & |
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| 216 | & * ( fsdepv(ji,jj,jk) - .5*fse3v(ji,jj,1) ) & |
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| 217 | & / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 5. ) ) & |
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| 218 | & * vmask(ji,jj,jk) |
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| 219 | #else |
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| 220 | ! z-coord and partial steps slope computed in the same way |
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| 221 | zwz (ji,jj,jk) = ( zau / ( zbu - zeps ) * ( 1. - zalpha) & |
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| 222 | & + zalpha * uslpml(ji,jj) & |
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| 223 | & * ( fsdept(ji,jj,jk) - .5*fse3u(ji,jj,1)) & |
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| 224 | & / MAX (hmlpt(ji,jj),hmlpt(ji+1,jj),5.) ) & |
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| 225 | & * umask (ji,jj,jk) |
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| 226 | zalpha = MAX(omlmask(ji,jj,jk),omlmask(ji,jj+1,jk)) |
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| 227 | zww (ji,jj,jk) = ( zav / ( zbv - zeps ) * ( 1. - zalpha) & |
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| 228 | & + zalpha * vslpml(ji,jj) & |
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| 229 | & * ( fsdept(ji,jj,jk) - .5*fse3v(ji,jj,1)) & |
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| 230 | & / MAX(hmlpt(ji,jj),hmlpt(ji,jj+1),5.) ) & |
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| 231 | & * vmask (ji,jj,jk) |
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| 232 | #endif |
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| 233 | END DO |
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| 234 | END DO |
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| 235 | ! ! =============== |
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| 236 | END DO ! end of slab |
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| 237 | ! ! =============== |
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| 238 | |
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| 239 | |
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| 240 | ! lateral boundary conditions on zww and zwz |
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| 241 | CALL lbc_lnk( zwz, 'U', -1. ) |
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| 242 | CALL lbc_lnk( zww, 'V', -1. ) |
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| 243 | |
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| 244 | ! ! =============== |
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| 245 | DO jk = 2, jpkm1 ! Horizontal slab |
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| 246 | ! ! =============== |
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| 247 | |
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| 248 | ! Shapiro filter applied in the horizontal direction |
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| 249 | zcofu = 1. / 16. |
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| 250 | zcofv = 1. / 16. |
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| 251 | DO jj = 2, jpjm1, jpj-3 ! row jj=2 and =jpjm1 only |
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| 252 | DO ji = 2, jpim1 |
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| 253 | !uslop |
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| 254 | uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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| 255 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 256 | & + 2.*(zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 257 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 258 | & + 4.* zwz(ji ,jj ,jk) ) |
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| 259 | ! vslop |
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| 260 | vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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| 261 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 262 | & + 2.*(zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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| 263 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 264 | & + 4.* zww(ji,jj ,jk) ) |
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| 265 | END DO |
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| 266 | END DO |
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| 267 | |
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| 268 | DO jj = 3, jpj-2 |
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| 269 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 270 | ! uslop |
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| 271 | uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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| 272 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 273 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 274 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 275 | & + 4.* zwz(ji ,jj ,jk) ) |
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| 276 | ! vslop |
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| 277 | vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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| 278 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 279 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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| 280 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 281 | & + 4.* zww(ji,jj ,jk) ) |
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| 282 | END DO |
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| 283 | END DO |
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| 284 | |
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| 285 | ! decrease along coastal boundaries |
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| 286 | DO jj = 2, jpjm1 |
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| 287 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 288 | z1u = ( umask(ji,jj+1,jk) + umask(ji,jj-1,jk) )*.5 |
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| 289 | z1v = ( vmask(ji+1,jj,jk) + vmask(ji-1,jj,jk) )*.5 |
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| 290 | z1wu = ( umask(ji,jj,jk) + umask(ji,jj,jk+1) )*.5 |
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| 291 | z1wv = ( vmask(ji,jj,jk) + vmask(ji,jj,jk+1) )*.5 |
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| 292 | uslp(ji,jj,jk) = uslp(ji,jj,jk) * z1u * z1wu |
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| 293 | vslp(ji,jj,jk) = vslp(ji,jj,jk) * z1v * z1wv |
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| 294 | END DO |
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| 295 | END DO |
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| 296 | |
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| 297 | |
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| 298 | IF( lk_sco ) THEN |
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| 299 | ! Add the slope of level surfaces |
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| 300 | ! ----------------------------------- |
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| 301 | ! 'key_s_coord' defined but not 'key_traldfiso' the computation is done |
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| 302 | ! in inildf, ldfslp never called |
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| 303 | ! 'key_s_coord' and 'key_traldfiso' defined, the slope of level surfaces |
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| 304 | ! is added to the slope of isopycnal surfaces. |
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| 305 | ! c a u t i o n : minus sign as fsdep has positive value |
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| 306 | |
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| 307 | DO jj = 2, jpjm1 |
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| 308 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 309 | uslp(ji,jj,jk) = uslp(ji,jj,jk) - 1. / e1u(ji,jj) & |
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| 310 | & * ( fsdept(ji+1,jj,jk) - fsdept(ji,jj,jk) ) |
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| 311 | vslp(ji,jj,jk) = vslp(ji,jj,jk) - 1. / e2v(ji,jj) & |
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| 312 | & * ( fsdept(ji,jj+1,jk) - fsdept(ji,jj,jk) ) |
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| 313 | END DO |
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| 314 | END DO |
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| 315 | ENDIF |
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| 316 | |
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| 317 | |
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| 318 | ! II. Computation of slopes at w point |
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| 319 | ! ==================================== |
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| 320 | |
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| 321 | |
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| 322 | ! II.1 Slopes of isopycnal surfaces |
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| 323 | ! --------------------------------- |
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| 324 | ! wslpi = mij( d/di( prd ) / d/dz( prd ) |
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| 325 | ! wslpj = mij( d/dj( prd ) / d/dz( prd ) |
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| 326 | |
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| 327 | |
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| 328 | ! Local vertical density gradient evaluated from N^2 |
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| 329 | ! zwy = d/dz(prd)= - mk ( prd ) / grav * pn2 -- at w point |
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| 330 | DO jj = 1, jpj |
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| 331 | DO ji = 1, jpi |
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| 332 | zwy (ji,jj,jk) = zm05g * pn2 (ji,jj,jk) * & |
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| 333 | & ( prd (ji,jj,jk) + prd (ji,jj,jk-1) + 2. ) |
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| 334 | END DO |
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| 335 | END DO |
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| 336 | |
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| 337 | ! Slope at w point |
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| 338 | DO jj = 2, jpjm1 |
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| 339 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 340 | ! horizontal density i-gradient at w-points |
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| 341 | zcoef1 = MAX( zeps, umask(ji-1,jj,jk )+umask(ji,jj,jk ) & |
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| 342 | & +umask(ji-1,jj,jk-1)+umask(ji,jj,jk-1) ) |
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| 343 | zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) |
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| 344 | zai = zcoef1 * ( zgru(ji ,jj,jk ) + zgru(ji ,jj,jk-1) & |
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| 345 | & + zgru(ji-1,jj,jk-1) + zgru(ji-1,jj,jk ) ) * tmask (ji,jj,jk) |
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| 346 | ! horizontal density j-gradient at w-points |
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| 347 | zcoef2 = MAX( zeps, vmask(ji,jj-1,jk )+vmask(ji,jj,jk-1) & |
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| 348 | & +vmask(ji,jj-1,jk-1)+vmask(ji,jj,jk ) ) |
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| 349 | zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) |
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| 350 | zaj = zcoef2 * ( zgrv(ji,jj ,jk ) + zgrv(ji,jj ,jk-1) & |
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| 351 | & + zgrv(ji,jj-1,jk-1) + zgrv(ji,jj-1,jk ) ) * tmask (ji,jj,jk) |
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| 352 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
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| 353 | ! static instability: |
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| 354 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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| 355 | zbi = MIN( zwy (ji,jj,jk),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,jk)*ABS(zai) ) |
|---|
| 356 | zbj = MIN( zwy (ji,jj,jk), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,jk)*ABS(zaj) ) |
|---|
| 357 | ! wslpi and wslpj output in zwz and zww, resp. |
|---|
| 358 | zalpha = MAX(omlmask(ji,jj,jk),omlmask(ji,jj,jk-1)) |
|---|
| 359 | zwz(ji,jj,jk) = ( zai / ( zbi - zeps) * ( 1. - zalpha ) & |
|---|
| 360 | & + zalpha * wslpiml(ji,jj) & |
|---|
| 361 | & * fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj),10. ) ) & |
|---|
| 362 | & * tmask (ji,jj,jk) |
|---|
| 363 | zww(ji,jj,jk) = ( zaj / ( zbj - zeps) * ( 1. - zalpha ) & |
|---|
| 364 | & + zalpha * wslpjml(ji,jj) & |
|---|
| 365 | & * fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj),10. ) ) & |
|---|
| 366 | & * tmask (ji,jj,jk) |
|---|
| 367 | END DO |
|---|
| 368 | END DO |
|---|
| 369 | ! ! =============== |
|---|
| 370 | END DO ! end of slab |
|---|
| 371 | ! ! =============== |
|---|
| 372 | |
|---|
| 373 | |
|---|
| 374 | ! lateral boundary conditions on zwz and zww |
|---|
| 375 | CALL lbc_lnk( zwz, 'T', -1. ) |
|---|
| 376 | CALL lbc_lnk( zww, 'T', -1. ) |
|---|
| 377 | |
|---|
| 378 | ! ! =============== |
|---|
| 379 | DO jk = 2, jpkm1 ! Horizontal slab |
|---|
| 380 | ! ! =============== |
|---|
| 381 | |
|---|
| 382 | ! Shapiro filter applied in the horizontal direction |
|---|
| 383 | |
|---|
| 384 | DO jj = 2, jpjm1, jpj-3 ! row jj=2 and =jpjm1 |
|---|
| 385 | DO ji = 2, jpim1 |
|---|
| 386 | zcofw = tmask(ji,jj,jk)/16. |
|---|
| 387 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
|---|
| 388 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
|---|
| 389 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
|---|
| 390 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
|---|
| 391 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
|---|
| 392 | |
|---|
| 393 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
|---|
| 394 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
|---|
| 395 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
|---|
| 396 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
|---|
| 397 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
|---|
| 398 | END DO |
|---|
| 399 | END DO |
|---|
| 400 | |
|---|
| 401 | DO jj = 3, jpj-2 |
|---|
| 402 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 403 | zcofw = tmask(ji,jj,jk)/16. |
|---|
| 404 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
|---|
| 405 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
|---|
| 406 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
|---|
| 407 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
|---|
| 408 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
|---|
| 409 | |
|---|
| 410 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
|---|
| 411 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
|---|
| 412 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
|---|
| 413 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
|---|
| 414 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
|---|
| 415 | END DO |
|---|
| 416 | END DO |
|---|
| 417 | |
|---|
| 418 | ! decrease the slope along the boundaries |
|---|
| 419 | DO jj = 2, jpjm1 |
|---|
| 420 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 421 | z1u = ( umask(ji,jj,jk) + umask(ji-1,jj,jk) ) *.5 |
|---|
| 422 | z1v = ( vmask(ji,jj,jk) + vmask(ji,jj-1,jk) ) *.5 |
|---|
| 423 | wslpi(ji,jj,jk) = wslpi(ji,jj,jk) * z1u * z1v |
|---|
| 424 | wslpj(ji,jj,jk) = wslpj(ji,jj,jk) * z1u * z1v |
|---|
| 425 | END DO |
|---|
| 426 | END DO |
|---|
| 427 | |
|---|
| 428 | IF( lk_sco ) THEN |
|---|
| 429 | |
|---|
| 430 | ! Slope of level surfaces |
|---|
| 431 | ! ----------------------- |
|---|
| 432 | ! 'key_s_coord' defined but not 'key_traldfiso' the computation is done |
|---|
| 433 | ! in inildf, ldfslp never called |
|---|
| 434 | ! 'key_s_coord' and 'key_traldfiso' defined, the slope of level surfaces |
|---|
| 435 | ! is added to the slope of isopycnal surfaces. |
|---|
| 436 | |
|---|
| 437 | DO jj = 2, jpjm1 |
|---|
| 438 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 439 | wslpi(ji,jj,jk) = wslpi(ji,jj,jk) - 1. / e1t(ji,jj) & |
|---|
| 440 | & * ( fsdepuw(ji+1,jj,jk) - fsdepuw(ji,jj,jk) ) |
|---|
| 441 | wslpj(ji,jj,jk) = wslpj(ji,jj,jk) - 1. / e2t(ji,jj) & |
|---|
| 442 | & * ( fsdepvw(ji,jj+1,jk) - fsdepvw(ji,jj,jk) ) |
|---|
| 443 | END DO |
|---|
| 444 | END DO |
|---|
| 445 | ENDIF |
|---|
| 446 | |
|---|
| 447 | ! III. Specific grid points |
|---|
| 448 | ! ------------------------- |
|---|
| 449 | |
|---|
| 450 | IF( cp_cfg == "orca" .AND. jp_cfg == 4 ) THEN |
|---|
| 451 | ! ! ======================= |
|---|
| 452 | ! Horizontal diffusion in ! ORCA_R4 configuration |
|---|
| 453 | ! specific area ! ======================= |
|---|
| 454 | ! |
|---|
| 455 | ! ! Gibraltar Strait |
|---|
| 456 | ij0 = 50 ; ij1 = 53 |
|---|
| 457 | ii0 = 69 ; ii1 = 71 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 458 | ij0 = 51 ; ij1 = 53 |
|---|
| 459 | ii0 = 68 ; ii1 = 71 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 460 | ii0 = 69 ; ii1 = 71 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 461 | ii0 = 69 ; ii1 = 71 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 462 | |
|---|
| 463 | ! ! Mediterrannean Sea |
|---|
| 464 | ij0 = 49 ; ij1 = 56 |
|---|
| 465 | ii0 = 71 ; ii1 = 90 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 466 | ij0 = 50 ; ij1 = 56 |
|---|
| 467 | ii0 = 70 ; ii1 = 90 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 468 | ii0 = 71 ; ii1 = 90 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 469 | ii0 = 71 ; ii1 = 90 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , jk ) = 0.e0 |
|---|
| 470 | ENDIF |
|---|
| 471 | ! ! =============== |
|---|
| 472 | END DO ! end of slab |
|---|
| 473 | ! ! =============== |
|---|
| 474 | |
|---|
| 475 | |
|---|
| 476 | ! III Lateral boundary conditions on all slopes (uslp , vslp, |
|---|
| 477 | ! ------------------------------- wslpi, wslpj ) |
|---|
| 478 | CALL lbc_lnk( uslp , 'U', -1. ) |
|---|
| 479 | CALL lbc_lnk( vslp , 'V', -1. ) |
|---|
| 480 | CALL lbc_lnk( wslpi, 'W', -1. ) |
|---|
| 481 | CALL lbc_lnk( wslpj, 'W', -1. ) |
|---|
| 482 | |
|---|
| 483 | IF(ln_ctl) THEN |
|---|
| 484 | CALL prt_ctl(tab3d_1=uslp , clinfo1=' slp - u : ', tab3d_2=vslp, clinfo2=' v : ', kdim=jpk) |
|---|
| 485 | CALL prt_ctl(tab3d_1=wslpi, clinfo1=' slp - wi: ', tab3d_2=wslpj, clinfo2=' wj: ', kdim=jpk) |
|---|
| 486 | ENDIF |
|---|
| 487 | |
|---|
| 488 | END SUBROUTINE ldf_slp |
|---|
| 489 | |
|---|
| 490 | |
|---|
| 491 | SUBROUTINE ldf_slp_mxl( prd, pn2 ) |
|---|
| 492 | !!---------------------------------------------------------------------- |
|---|
| 493 | !! *** ROUTINE ldf_slp_mxl *** |
|---|
| 494 | !! ** Purpose : |
|---|
| 495 | !! Compute the slopes of iso-neutral surface (slope of isopycnal |
|---|
| 496 | !! surfaces referenced locally) just above the mixed layer. |
|---|
| 497 | !! |
|---|
| 498 | !! ** Method : |
|---|
| 499 | !! The slope in the i-direction is computed at u- and w-points |
|---|
| 500 | !! (uslp, wslpi) and the slope in the j-direction is computed at |
|---|
| 501 | !! v- and w-points (vslp, wslpj). |
|---|
| 502 | !! They are bounded by 1/100 over the whole ocean, and within the |
|---|
| 503 | !! surface layer they are bounded by the distance to the surface |
|---|
| 504 | !! ( slope<= depth/l where l is the length scale of horizontal |
|---|
| 505 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
|---|
| 506 | !! of 10cm/s) |
|---|
| 507 | !! |
|---|
| 508 | !! ** Action : |
|---|
| 509 | !! Compute uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
|---|
| 510 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
|---|
| 511 | !! |
|---|
| 512 | !! History : |
|---|
| 513 | !! 8.1 ! 99-10 (A. Jouzeau) Original code |
|---|
| 514 | !! 8.5 ! 99-10 (G. Madec) Free form, F90 |
|---|
| 515 | !!---------------------------------------------------------------------- |
|---|
| 516 | !! * Modules used |
|---|
| 517 | USE oce , zgru => ua, & ! ua, va used as workspace and set to hor. |
|---|
| 518 | zgrv => va ! density gradient in ldf_slp |
|---|
| 519 | |
|---|
| 520 | !! * Arguments |
|---|
| 521 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
|---|
| 522 | prd, & ! in situ density |
|---|
| 523 | pn2 ! Brunt-Vaisala frequency (locally ref.) |
|---|
| 524 | |
|---|
| 525 | !! * Local declarations |
|---|
| 526 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 527 | INTEGER :: ik, ikm1 ! temporary integers |
|---|
| 528 | REAL(wp), DIMENSION(jpi,jpj) :: & |
|---|
| 529 | zwy ! temporary workspace |
|---|
| 530 | REAL(wp) :: & |
|---|
| 531 | zeps, zmg, zm05g, & ! temporary scalars |
|---|
| 532 | zcoef1, zcoef2, & ! " " |
|---|
| 533 | zau, zbu, zav, zbv, & ! " " |
|---|
| 534 | zai, zbi, zaj, zbj ! " " |
|---|
| 535 | !!---------------------------------------------------------------------- |
|---|
| 536 | |
|---|
| 537 | |
|---|
| 538 | ! 0. Local constant initialization |
|---|
| 539 | ! -------------------------------- |
|---|
| 540 | |
|---|
| 541 | zeps = 1.e-20 |
|---|
| 542 | zmg = -1.0 / grav |
|---|
| 543 | zm05g = -0.5 / grav |
|---|
| 544 | |
|---|
| 545 | |
|---|
| 546 | uslpml (1,:) = 0.e0 ; uslpml (jpi,:) = 0.e0 |
|---|
| 547 | vslpml (1,:) = 0.e0 ; vslpml (jpi,:) = 0.e0 |
|---|
| 548 | wslpiml(1,:) = 0.e0 ; wslpiml(jpi,:) = 0.e0 |
|---|
| 549 | wslpjml(1,:) = 0.e0 ; wslpjml(jpi,:) = 0.e0 |
|---|
| 550 | |
|---|
| 551 | ! surface mixed layer mask |
|---|
| 552 | |
|---|
| 553 | ! mask for mixed layer |
|---|
| 554 | DO jk = 1, jpk |
|---|
| 555 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 556 | jj = 1 |
|---|
| 557 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
|---|
| 558 | # else |
|---|
| 559 | DO jj = 1, jpj |
|---|
| 560 | DO ji = 1, jpi |
|---|
| 561 | # endif |
|---|
| 562 | ! mixed layer interior (mask = 1) and exterior (mask = 0) |
|---|
| 563 | ik = nmln(ji,jj) - 1 |
|---|
| 564 | IF( jk <= ik ) THEN |
|---|
| 565 | omlmask(ji,jj,jk) = 1.e0 |
|---|
| 566 | ELSE |
|---|
| 567 | omlmask(ji,jj,jk) = 0.e0 |
|---|
| 568 | ENDIF |
|---|
| 569 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 570 | END DO |
|---|
| 571 | # endif |
|---|
| 572 | END DO |
|---|
| 573 | END DO |
|---|
| 574 | |
|---|
| 575 | |
|---|
| 576 | ! Slopes of isopycnal surfaces just before bottom of mixed layer |
|---|
| 577 | ! -------------------------------------------------------------- |
|---|
| 578 | ! uslpml = d/di( prd ) / d/dz( prd ) |
|---|
| 579 | ! vslpml = d/dj( prd ) / d/dz( prd ) |
|---|
| 580 | |
|---|
| 581 | ! Local vertical density gradient evaluated from N^2 |
|---|
| 582 | ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point |
|---|
| 583 | |
|---|
| 584 | !----------------------------------------------------------------------- |
|---|
| 585 | zwy(:,jpj) = 0.e0 |
|---|
| 586 | zwy(jpi,:) = 0.e0 |
|---|
| 587 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 588 | jj = 1 |
|---|
| 589 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
|---|
| 590 | # else |
|---|
| 591 | DO jj = 1, jpjm1 |
|---|
| 592 | DO ji = 1, jpim1 |
|---|
| 593 | # endif |
|---|
| 594 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) |
|---|
| 595 | ! if ik = jpk take jpkm1 values |
|---|
| 596 | ik = MIN( ik,jpkm1 ) |
|---|
| 597 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) & |
|---|
| 598 | & * ( pn2(ji,jj,ik) + pn2(ji,jj,ik+1) ) & |
|---|
| 599 | & / MAX( tmask(ji,jj,ik) + tmask (ji,jj,ik+1), 1. ) |
|---|
| 600 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 601 | END DO |
|---|
| 602 | # endif |
|---|
| 603 | END DO |
|---|
| 604 | ! lateral boundary conditions on zwy |
|---|
| 605 | CALL lbc_lnk( zwy, 'U', -1. ) |
|---|
| 606 | |
|---|
| 607 | ! Slope at u points |
|---|
| 608 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 609 | jj = 1 |
|---|
| 610 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 611 | # else |
|---|
| 612 | DO jj = 2, jpjm1 |
|---|
| 613 | DO ji = 2, jpim1 |
|---|
| 614 | # endif |
|---|
| 615 | ! horizontal and vertical density gradient at u-points |
|---|
| 616 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) |
|---|
| 617 | ik = MIN( ik,jpkm1 ) |
|---|
| 618 | zau = 1./ e1u(ji,jj) * zgru(ji,jj,ik) |
|---|
| 619 | zbu = 0.5*( zwy(ji,jj) + zwy(ji+1,jj) ) |
|---|
| 620 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
|---|
| 621 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
|---|
| 622 | zbu = MIN( zbu, -100.*ABS(zau), -7.e+3/fse3u(ji,jj,ik)*ABS(zau) ) |
|---|
| 623 | ! uslpml |
|---|
| 624 | uslpml (ji,jj) = zau / ( zbu - zeps ) * umask (ji,jj,ik) |
|---|
| 625 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 626 | END DO |
|---|
| 627 | # endif |
|---|
| 628 | END DO |
|---|
| 629 | |
|---|
| 630 | ! lateral boundary conditions on uslpml |
|---|
| 631 | CALL lbc_lnk( uslpml, 'U', -1. ) |
|---|
| 632 | |
|---|
| 633 | ! Local vertical density gradient evaluated from N^2 |
|---|
| 634 | ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point |
|---|
| 635 | zwy ( :, jpj) = 0.e0 |
|---|
| 636 | zwy ( jpi, :) = 0.e0 |
|---|
| 637 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 638 | jj = 1 |
|---|
| 639 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
|---|
| 640 | # else |
|---|
| 641 | DO jj = 1, jpjm1 |
|---|
| 642 | DO ji = 1, jpim1 |
|---|
| 643 | # endif |
|---|
| 644 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
|---|
| 645 | ik = MIN( ik,jpkm1 ) |
|---|
| 646 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) & |
|---|
| 647 | & * ( pn2(ji,jj,ik) + pn2(ji,jj,ik+1) ) & |
|---|
| 648 | & / MAX( tmask(ji,jj,ik) + tmask (ji,jj,ik+1), 1. ) |
|---|
| 649 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 650 | END DO |
|---|
| 651 | # endif |
|---|
| 652 | END DO |
|---|
| 653 | |
|---|
| 654 | ! lateral boundary conditions on zwy |
|---|
| 655 | CALL lbc_lnk( zwy, 'V', -1. ) |
|---|
| 656 | |
|---|
| 657 | ! Slope at v points |
|---|
| 658 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 659 | jj = 1 |
|---|
| 660 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 661 | # else |
|---|
| 662 | DO jj = 2, jpjm1 |
|---|
| 663 | DO ji = 2, jpim1 |
|---|
| 664 | # endif |
|---|
| 665 | ! horizontal and vertical density gradient at v-points |
|---|
| 666 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
|---|
| 667 | ik = MIN( ik,jpkm1 ) |
|---|
| 668 | zav = 1./ e2v(ji,jj) * zgrv(ji,jj,ik) |
|---|
| 669 | zbv = 0.5*( zwy(ji,jj) + zwy(ji,jj+1) ) |
|---|
| 670 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
|---|
| 671 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
|---|
| 672 | zbv = MIN( zbv, -100.*ABS(zav), -7.e+3/fse3v(ji,jj,ik)*ABS( zav ) ) |
|---|
| 673 | ! vslpml |
|---|
| 674 | vslpml (ji,jj) = zav / ( zbv - zeps ) * vmask (ji,jj,ik) |
|---|
| 675 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 676 | END DO |
|---|
| 677 | # endif |
|---|
| 678 | END DO |
|---|
| 679 | |
|---|
| 680 | ! lateral boundary conditions on vslpml |
|---|
| 681 | CALL lbc_lnk( vslpml, 'V', -1. ) |
|---|
| 682 | |
|---|
| 683 | ! wslpiml = mij( d/di( prd ) / d/dz( prd ) |
|---|
| 684 | ! wslpjml = mij( d/dj( prd ) / d/dz( prd ) |
|---|
| 685 | |
|---|
| 686 | |
|---|
| 687 | ! Local vertical density gradient evaluated from N^2 |
|---|
| 688 | ! zwy = d/dz(prd)= - mk ( prd ) / grav * pn2 -- at w point |
|---|
| 689 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 690 | jj = 1 |
|---|
| 691 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
|---|
| 692 | # else |
|---|
| 693 | DO jj = 1, jpj |
|---|
| 694 | DO ji = 1, jpi |
|---|
| 695 | # endif |
|---|
| 696 | ik = nmln(ji,jj)+1 |
|---|
| 697 | ik = MIN( ik,jpk ) |
|---|
| 698 | ikm1 = MAX ( 1, ik-1) |
|---|
| 699 | zwy (ji,jj) = zm05g * pn2 (ji,jj,ik) * & |
|---|
| 700 | & ( prd (ji,jj,ik) + prd (ji,jj,ikm1) + 2. ) |
|---|
| 701 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 702 | END DO |
|---|
| 703 | # endif |
|---|
| 704 | END DO |
|---|
| 705 | |
|---|
| 706 | ! Slope at w point |
|---|
| 707 | # if defined key_vectopt_loop && ! defined key_autotasking |
|---|
| 708 | jj = 1 |
|---|
| 709 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 710 | # else |
|---|
| 711 | DO jj = 2, jpjm1 |
|---|
| 712 | DO ji = 2, jpim1 |
|---|
| 713 | # endif |
|---|
| 714 | ik = nmln(ji,jj)+1 |
|---|
| 715 | ik = MIN( ik,jpk ) |
|---|
| 716 | ikm1 = MAX ( 1, ik-1) |
|---|
| 717 | ! horizontal density i-gradient at w-points |
|---|
| 718 | zcoef1 = MAX( zeps, umask(ji-1,jj,ik )+umask(ji,jj,ik ) & |
|---|
| 719 | & +umask(ji-1,jj,ikm1)+umask(ji,jj,ikm1) ) |
|---|
| 720 | zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) |
|---|
| 721 | zai = zcoef1 * ( zgru(ji ,jj,ik ) + zgru(ji ,jj,ikm1) & |
|---|
| 722 | & + zgru(ji-1,jj,ikm1) + zgru(ji-1,jj,ik ) ) * tmask (ji,jj,ik) |
|---|
| 723 | ! horizontal density j-gradient at w-points |
|---|
| 724 | zcoef2 = MAX( zeps, vmask(ji,jj-1,ik )+vmask(ji,jj,ikm1) & |
|---|
| 725 | & +vmask(ji,jj-1,ikm1)+vmask(ji,jj,ik ) ) |
|---|
| 726 | zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) |
|---|
| 727 | zaj = zcoef2 * ( zgrv(ji,jj ,ik ) + zgrv(ji,jj ,ikm1) & |
|---|
| 728 | & + zgrv(ji,jj-1,ikm1) + zgrv(ji,jj-1,ik ) ) * tmask (ji,jj,ik) |
|---|
| 729 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
|---|
| 730 | ! static instability: |
|---|
| 731 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
|---|
| 732 | zbi = MIN ( zwy (ji,jj),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,ik)*ABS(zai) ) |
|---|
| 733 | zbj = MIN ( zwy (ji,jj), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,ik)*ABS(zaj) ) |
|---|
| 734 | ! wslpiml and wslpjml |
|---|
| 735 | wslpiml (ji,jj) = zai / ( zbi - zeps) * tmask (ji,jj,ik) |
|---|
| 736 | wslpjml (ji,jj) = zaj / ( zbj - zeps) * tmask (ji,jj,ik) |
|---|
| 737 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 738 | END DO |
|---|
| 739 | # endif |
|---|
| 740 | END DO |
|---|
| 741 | |
|---|
| 742 | ! lateral boundary conditions on wslpiml and wslpjml |
|---|
| 743 | CALL lbc_lnk( wslpiml, 'W', -1. ) |
|---|
| 744 | CALL lbc_lnk( wslpjml, 'W', -1. ) |
|---|
| 745 | |
|---|
| 746 | END SUBROUTINE ldf_slp_mxl |
|---|
| 747 | |
|---|
| 748 | |
|---|
| 749 | SUBROUTINE ldf_slp_init |
|---|
| 750 | !!---------------------------------------------------------------------- |
|---|
| 751 | !! *** ROUTINE ldf_slp_init *** |
|---|
| 752 | !! |
|---|
| 753 | !! ** Purpose : Initialization for the isopycnal slopes computation |
|---|
| 754 | !! |
|---|
| 755 | !! ** Method : read the nammbf namelist and check the parameter |
|---|
| 756 | !! values called by tra_dmp at the first timestep (nit000) |
|---|
| 757 | !! |
|---|
| 758 | !! History : |
|---|
| 759 | !! 8.5 ! 02-06 (G. Madec) original code |
|---|
| 760 | !!---------------------------------------------------------------------- |
|---|
| 761 | !! * local declarations |
|---|
| 762 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 763 | !!---------------------------------------------------------------------- |
|---|
| 764 | |
|---|
| 765 | |
|---|
| 766 | ! Parameter control and print |
|---|
| 767 | ! --------------------------- |
|---|
| 768 | IF(lwp) THEN |
|---|
| 769 | WRITE(numout,*) |
|---|
| 770 | WRITE(numout,*) 'ldf_slp : direction of lateral mixing' |
|---|
| 771 | WRITE(numout,*) '~~~~~~~' |
|---|
| 772 | ENDIF |
|---|
| 773 | |
|---|
| 774 | ! Direction of lateral diffusion (tracers and/or momentum) |
|---|
| 775 | ! ------------------------------ |
|---|
| 776 | ! set the slope to zero (even in s-coordinates) |
|---|
| 777 | |
|---|
| 778 | uslp (:,:,:) = 0.e0 |
|---|
| 779 | vslp (:,:,:) = 0.e0 |
|---|
| 780 | wslpi(:,:,:) = 0.e0 |
|---|
| 781 | wslpj(:,:,:) = 0.e0 |
|---|
| 782 | |
|---|
| 783 | uslpml (:,:) = 0.e0 |
|---|
| 784 | vslpml (:,:) = 0.e0 |
|---|
| 785 | wslpiml(:,:) = 0.e0 |
|---|
| 786 | wslpjml(:,:) = 0.e0 |
|---|
| 787 | |
|---|
| 788 | IF( ln_traldf_hor .OR. ln_dynldf_hor ) THEN |
|---|
| 789 | |
|---|
| 790 | ! geopotential diffusion in s-coordinates on tracers and/or momentum |
|---|
| 791 | ! The slopes of s-surfaces are computed once (no call to ldfslp in step) |
|---|
| 792 | ! The slopes for momentum diffusion are i- or j- averaged of those on tracers |
|---|
| 793 | |
|---|
| 794 | ! set the slope of diffusion to the slope of s-surfaces |
|---|
| 795 | ! ( c a u t i o n : minus sign as fsdep has positive value ) |
|---|
| 796 | DO jk = 1, jpk |
|---|
| 797 | DO jj = 2, jpjm1 |
|---|
| 798 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 799 | uslp (ji,jj,jk) = -1. / e1u(ji,jj) * umask(ji,jj,jk) & |
|---|
| 800 | & * ( fsdept(ji+1,jj,jk) - fsdept(ji,jj,jk) ) |
|---|
| 801 | vslp (ji,jj,jk) = -1. / e2v(ji,jj) * vmask(ji,jj,jk) & |
|---|
| 802 | & * ( fsdept(ji,jj+1,jk) - fsdept(ji,jj,jk) ) |
|---|
| 803 | wslpi(ji,jj,jk) = -1. / e1t(ji,jj) * tmask(ji,jj,jk) & |
|---|
| 804 | & * ( fsdepuw(ji+1,jj,jk) - fsdepuw(ji,jj,jk) ) |
|---|
| 805 | wslpj(ji,jj,jk) = -1. / e2t(ji,jj) * tmask(ji,jj,jk) & |
|---|
| 806 | & * ( fsdepvw(ji,jj+1,jk) - fsdepvw(ji,jj,jk) ) |
|---|
| 807 | END DO |
|---|
| 808 | END DO |
|---|
| 809 | END DO |
|---|
| 810 | |
|---|
| 811 | ! Lateral boundary conditions on the slopes |
|---|
| 812 | CALL lbc_lnk( uslp , 'U', -1. ) |
|---|
| 813 | CALL lbc_lnk( vslp , 'V', -1. ) |
|---|
| 814 | CALL lbc_lnk( wslpi, 'W', -1. ) |
|---|
| 815 | CALL lbc_lnk( wslpj, 'W', -1. ) |
|---|
| 816 | ENDIF |
|---|
| 817 | |
|---|
| 818 | END SUBROUTINE ldf_slp_init |
|---|
| 819 | |
|---|
| 820 | #else |
|---|
| 821 | !!------------------------------------------------------------------------ |
|---|
| 822 | !! Dummy module : NO Rotation of lateral mixing tensor |
|---|
| 823 | !!------------------------------------------------------------------------ |
|---|
| 824 | LOGICAL, PUBLIC, PARAMETER :: lk_ldfslp = .FALSE. !: slopes flag |
|---|
| 825 | CONTAINS |
|---|
| 826 | SUBROUTINE ldf_slp( kt, prd, pn2 ) ! Dummy routine |
|---|
| 827 | INTEGER, INTENT(in) :: kt |
|---|
| 828 | REAL,DIMENSION(:,:,:), INTENT(in) :: prd, pn2 |
|---|
| 829 | WRITE(*,*) 'ldf_slp: You should not have seen this print! error?', kt, prd(1,1,1), pn2(1,1,1) |
|---|
| 830 | END SUBROUTINE ldf_slp |
|---|
| 831 | #endif |
|---|
| 832 | |
|---|
| 833 | !!====================================================================== |
|---|
| 834 | END MODULE ldfslp |
|---|
