[3] | 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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[1515] | 6 | !! History : OPA ! 1994-12 (G. Madec, M. Imbard) Original code |
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| 7 | !! 8.0 ! 1997-06 (G. Madec) optimization, lbc |
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| 8 | !! 8.1 ! 1999-10 (A. Jouzeau) NEW profile in the mixed layer |
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| 9 | !! NEMO 0.5 ! 2002-10 (G. Madec) Free form, F90 |
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| 10 | !! 1.0 ! 2005-10 (A. Beckmann) correction for s-coordinates |
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| 11 | !!---------------------------------------------------------------------- |
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[3] | 12 | #if defined key_ldfslp || defined key_esopa |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! 'key_ldfslp' Rotation of lateral mixing tensor |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! ldf_slp : compute the slopes of neutral surface |
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| 17 | !! ldf_slp_mxl : compute the slopes of iso-neutral surface |
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| 18 | !! ldf_slp_init : initialization of the slopes computation |
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| 19 | !!---------------------------------------------------------------------- |
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| 20 | USE oce ! ocean dynamics and tracers |
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| 21 | USE dom_oce ! ocean space and time domain |
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| 22 | USE ldftra_oce |
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| 23 | USE ldfdyn_oce |
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| 24 | USE phycst ! physical constants |
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| 25 | USE zdfmxl ! mixed layer depth |
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[2236] | 26 | USE eosbn2 |
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[3] | 27 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 28 | USE in_out_manager ! I/O manager |
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[258] | 29 | USE prtctl ! Print control |
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[3] | 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | PRIVATE |
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| 33 | |
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[2027] | 34 | PUBLIC ldf_slp ! routine called by step.F90 |
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| 35 | PUBLIC ldf_slp_init ! routine called by opa.F90 |
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[2236] | 36 | PUBLIC ldf_slp_grif ! " |
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[3] | 37 | |
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[1515] | 38 | LOGICAL , PUBLIC, PARAMETER :: lk_ldfslp = .TRUE. !: slopes flag |
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| 39 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: uslp, wslpi !: i_slope at U- and W-points |
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| 40 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: vslp, wslpj !: j-slope at V- and W-points |
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[2236] | 41 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: wslp2 !: wslp**2 from Griffies quarter cells |
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| 42 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: alpha, beta !: alpha,beta at T points |
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| 43 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: tfw,sfw,ftu,fsu,ftv,fsv,ftud,fsud,ftvd,fsvd |
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| 44 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: psix_eiv |
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| 45 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: psiy_eiv |
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[3] | 46 | |
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[1515] | 47 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: omlmask ! mask of the surface mixed layer at T-pt |
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| 48 | REAL(wp), DIMENSION(jpi,jpj) :: uslpml, wslpiml ! i_slope at U- and W-points just below the mixed layer |
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| 49 | REAL(wp), DIMENSION(jpi,jpj) :: vslpml, wslpjml ! j_slope at V- and W-points just below the mixed layer |
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[3] | 50 | |
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| 51 | !! * Substitutions |
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| 52 | # include "domzgr_substitute.h90" |
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[2236] | 53 | # include "ldftra_substitute.h90" |
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| 54 | # include "ldfeiv_substitute.h90" |
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[3] | 55 | # include "vectopt_loop_substitute.h90" |
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| 56 | !!---------------------------------------------------------------------- |
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[1515] | 57 | !! NEMO/OPA 3.2 , LOCEAN-IPSL (2009) |
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[1156] | 58 | !! $Id$ |
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[2236] | 59 | !! Software governed by the CeCILL licence (NEMOGCM/License_CeCILL.txt) |
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[3] | 60 | !!---------------------------------------------------------------------- |
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| 61 | |
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| 62 | CONTAINS |
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| 63 | |
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| 64 | SUBROUTINE ldf_slp( kt, prd, pn2 ) |
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| 65 | !!---------------------------------------------------------------------- |
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| 66 | !! *** ROUTINE ldf_slp *** |
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| 67 | !! |
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[1515] | 68 | !! ** Purpose : Compute the slopes of neutral surface (slope of isopycnal |
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| 69 | !! surfaces referenced locally) ('key_traldfiso'). |
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| 70 | !! |
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[3] | 71 | !! ** Method : The slope in the i-direction is computed at U- and |
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| 72 | !! W-points (uslp, wslpi) and the slope in the j-direction is |
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| 73 | !! computed at V- and W-points (vslp, wslpj). |
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| 74 | !! They are bounded by 1/100 over the whole ocean, and within the |
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| 75 | !! surface layer they are bounded by the distance to the surface |
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| 76 | !! ( slope<= depth/l where l is the length scale of horizontal |
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| 77 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
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| 78 | !! of 10cm/s) |
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| 79 | !! A horizontal shapiro filter is applied to the slopes |
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[461] | 80 | !! ln_sco=T, s-coordinate, add to the previously computed slopes |
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[3] | 81 | !! the slope of the model level surface. |
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| 82 | !! macro-tasked on horizontal slab (jk-loop) (2, jpk-1) |
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| 83 | !! [slopes already set to zero at level 1, and to zero or the ocean |
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[461] | 84 | !! bottom slope (ln_sco=T) at level jpk in inildf] |
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[3] | 85 | !! |
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| 86 | !! ** Action : - uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
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| 87 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
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[1515] | 88 | !!---------------------------------------------------------------------- |
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| 89 | USE oce , zgru => ua ! use ua as workspace |
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| 90 | USE oce , zgrv => va ! use va as workspace |
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| 91 | USE oce , zwy => ta ! use ta as workspace |
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| 92 | USE oce , zwz => sa ! use sa as workspace |
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[3] | 93 | !! |
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[1515] | 94 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 95 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: prd ! in situ density |
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| 96 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pn2 ! Brunt-Vaisala frequency (locally ref.) |
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| 97 | !! |
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| 98 | INTEGER :: ji , jj , jk ! dummy loop indices |
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| 99 | INTEGER :: ii0, ii1, iku ! temporary integer |
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| 100 | INTEGER :: ij0, ij1, ikv ! temporary integer |
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| 101 | REAL(wp) :: zeps, zmg, zm05g, zalpha ! temporary scalars |
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| 102 | REAL(wp) :: zcoef1, zcoef2, zcoef3 ! - - |
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| 103 | REAL(wp) :: zcofu , zcofv , zcofw ! - - |
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| 104 | REAL(wp) :: zau, zbu, zai, zbi, z1u, z1wu ! - - |
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| 105 | REAL(wp) :: zav, zbv, zaj, zbj, z1v, z1wv ! |
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| 106 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zww ! 3D workspace |
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[3] | 107 | !!---------------------------------------------------------------------- |
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| 108 | |
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[1515] | 109 | zeps = 1.e-20 ! Local constant initialization |
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[32] | 110 | zmg = -1.0 / grav |
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| 111 | zm05g = -0.5 / grav |
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[1515] | 112 | ! |
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[3] | 113 | zww(:,:,:) = 0.e0 |
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| 114 | zwz(:,:,:) = 0.e0 |
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[1515] | 115 | ! ! horizontal density gradient computation |
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[3] | 116 | DO jk = 1, jpk |
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| 117 | DO jj = 1, jpjm1 |
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| 118 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 119 | zgru(ji,jj,jk) = umask(ji,jj,jk) * ( prd(ji+1,jj ,jk) - prd(ji,jj,jk) ) |
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| 120 | zgrv(ji,jj,jk) = vmask(ji,jj,jk) * ( prd(ji ,jj+1,jk) - prd(ji,jj,jk) ) |
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| 121 | END DO |
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| 122 | END DO |
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| 123 | END DO |
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[1515] | 124 | IF( ln_zps ) THEN ! partial steps correction at the bottom ocean level |
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[789] | 125 | # if defined key_vectopt_loop |
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[1515] | 126 | DO jj = 1, 1 |
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| 127 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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[3] | 128 | # else |
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[461] | 129 | DO jj = 1, jpjm1 |
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| 130 | DO ji = 1, jpim1 |
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[3] | 131 | # endif |
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[1515] | 132 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 ! last ocean level |
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[461] | 133 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
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| 134 | zgru(ji,jj,iku) = gru(ji,jj) |
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| 135 | zgrv(ji,jj,ikv) = grv(ji,jj) |
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| 136 | END DO |
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[3] | 137 | END DO |
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[461] | 138 | ENDIF |
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[1515] | 139 | |
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| 140 | CALL ldf_slp_mxl( prd, pn2 ) ! Slopes of isopycnal surfaces just below the mixed layer |
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[3] | 141 | |
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| 142 | |
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[1515] | 143 | ! I. slopes at u and v point | uslp = d/di( prd ) / d/dz( prd ) |
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| 144 | ! =========================== | vslp = d/dj( prd ) / d/dz( prd ) |
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| 145 | ! |
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| 146 | ! !* Local vertical density gradient evaluated from N^2 |
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| 147 | DO jk = 2, jpkm1 ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point |
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[3] | 148 | DO jj = 1, jpj |
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| 149 | DO ji = 1, jpi |
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[1515] | 150 | zwy(ji,jj,jk) = zmg * ( prd(ji,jj,jk) + 1. ) * ( pn2 (ji,jj,jk) + pn2 (ji,jj,jk+1) ) & |
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| 151 | & / MAX( tmask(ji,jj,jk) + tmask(ji,jj,jk+1), 1. ) |
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[3] | 152 | END DO |
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| 153 | END DO |
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[1515] | 154 | END DO |
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| 155 | DO jk = 2, jpkm1 !* Slopes at u and v points |
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[3] | 156 | DO jj = 2, jpjm1 |
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| 157 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 158 | ! horizontal and vertical density gradient at u- and v-points |
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| 159 | zau = 1. / e1u(ji,jj) * zgru(ji,jj,jk) |
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| 160 | zav = 1. / e2v(ji,jj) * zgrv(ji,jj,jk) |
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| 161 | zbu = 0.5 * ( zwy(ji,jj,jk) + zwy(ji+1,jj ,jk) ) |
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| 162 | zbv = 0.5 * ( zwy(ji,jj,jk) + zwy(ji ,jj+1,jk) ) |
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| 163 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
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| 164 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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| 165 | zbu = MIN( zbu, -100.*ABS( zau ), -7.e+3/fse3u(ji,jj,jk)*ABS( zau ) ) |
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| 166 | zbv = MIN( zbv, -100.*ABS( zav ), -7.e+3/fse3v(ji,jj,jk)*ABS( zav ) ) |
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| 167 | ! uslp and vslp output in zwz and zww, resp. |
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| 168 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji+1,jj,jk) ) |
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[1515] | 169 | zwz (ji,jj,jk) = ( ( 1. - zalpha) * zau / ( zbu - zeps ) & |
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| 170 | & + zalpha * uslpml(ji,jj) & |
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| 171 | & * 0.5 * ( fsdept(ji+1,jj,jk)+fsdept(ji,jj,jk)-fse3u(ji,jj,1) ) & |
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| 172 | & / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 5. ) ) * umask(ji,jj,jk) |
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[3] | 173 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji,jj+1,jk) ) |
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[1515] | 174 | zww (ji,jj,jk) = ( ( 1. - zalpha) * zav / ( zbv - zeps ) & |
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| 175 | & + zalpha * vslpml(ji,jj) & |
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| 176 | & * 0.5 * ( fsdept(ji,jj+1,jk)+fsdept(ji,jj,jk)-fse3v(ji,jj,1) ) & |
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| 177 | & / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 5. ) ) * vmask(ji,jj,jk) |
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[3] | 178 | END DO |
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| 179 | END DO |
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[1515] | 180 | END DO |
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| 181 | CALL lbc_lnk( zwz, 'U', -1. ) ; CALL lbc_lnk( zww, 'V', -1. ) ! lateral boundary conditions |
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| 182 | ! |
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| 183 | zcofu = 1. / 16. !* horizontal Shapiro filter |
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| 184 | zcofv = 1. / 16. |
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| 185 | DO jk = 2, jpkm1 |
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| 186 | DO jj = 2, jpjm1, jpj-3 ! rows jj=2 and =jpjm1 only |
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[3] | 187 | DO ji = 2, jpim1 |
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[1515] | 188 | uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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| 189 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 190 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 191 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 192 | & + 4.* zwz(ji ,jj ,jk) ) |
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| 193 | vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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| 194 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 195 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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| 196 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 197 | & + 4.* zww(ji,jj ,jk) ) |
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[3] | 198 | END DO |
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| 199 | END DO |
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[1515] | 200 | DO jj = 3, jpj-2 ! other rows |
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[3] | 201 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 202 | uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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| 203 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 204 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 205 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 206 | & + 4.* zwz(ji ,jj ,jk) ) |
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| 207 | vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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| 208 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 209 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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| 210 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 211 | & + 4.* zww(ji,jj ,jk) ) |
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| 212 | END DO |
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| 213 | END DO |
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[1515] | 214 | ! !* decrease along coastal boundaries |
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[3] | 215 | DO jj = 2, jpjm1 |
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| 216 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 217 | z1u = ( umask(ji,jj+1,jk) + umask(ji,jj-1,jk) )*.5 |
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| 218 | z1v = ( vmask(ji+1,jj,jk) + vmask(ji-1,jj,jk) )*.5 |
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| 219 | z1wu = ( umask(ji,jj,jk) + umask(ji,jj,jk+1) )*.5 |
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| 220 | z1wv = ( vmask(ji,jj,jk) + vmask(ji,jj,jk+1) )*.5 |
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| 221 | uslp(ji,jj,jk) = uslp(ji,jj,jk) * z1u * z1wu |
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| 222 | vslp(ji,jj,jk) = vslp(ji,jj,jk) * z1v * z1wv |
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| 223 | END DO |
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| 224 | END DO |
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[1515] | 225 | END DO |
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[3] | 226 | |
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| 227 | |
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[1515] | 228 | ! II. slopes at w point | wslpi = mij( d/di( prd ) / d/dz( prd ) |
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| 229 | ! =========================== | wslpj = mij( d/dj( prd ) / d/dz( prd ) |
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| 230 | ! |
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| 231 | ! !* Local vertical density gradient evaluated from N^2 |
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| 232 | DO jk = 2, jpkm1 ! zwy = d/dz(prd)= - mk ( prd ) / grav * pn2 -- at w point |
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[3] | 233 | DO jj = 1, jpj |
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| 234 | DO ji = 1, jpi |
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[1515] | 235 | zwy(ji,jj,jk) = zm05g * pn2 (ji,jj,jk) * ( prd (ji,jj,jk) + prd (ji,jj,jk-1) + 2. ) |
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[3] | 236 | END DO |
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| 237 | END DO |
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[1515] | 238 | END DO |
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| 239 | DO jk = 2, jpkm1 !* Slopes at w point |
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[3] | 240 | DO jj = 2, jpjm1 |
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| 241 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1515] | 242 | ! ! horizontal density i-gradient at w-points |
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[3] | 243 | zcoef1 = MAX( zeps, umask(ji-1,jj,jk )+umask(ji,jj,jk ) & |
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| 244 | & +umask(ji-1,jj,jk-1)+umask(ji,jj,jk-1) ) |
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| 245 | zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) |
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| 246 | zai = zcoef1 * ( zgru(ji ,jj,jk ) + zgru(ji ,jj,jk-1) & |
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| 247 | & + zgru(ji-1,jj,jk-1) + zgru(ji-1,jj,jk ) ) * tmask (ji,jj,jk) |
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[1515] | 248 | ! ! horizontal density j-gradient at w-points |
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[3] | 249 | zcoef2 = MAX( zeps, vmask(ji,jj-1,jk )+vmask(ji,jj,jk-1) & |
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| 250 | & +vmask(ji,jj-1,jk-1)+vmask(ji,jj,jk ) ) |
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| 251 | zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) |
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| 252 | zaj = zcoef2 * ( zgrv(ji,jj ,jk ) + zgrv(ji,jj ,jk-1) & |
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| 253 | & + zgrv(ji,jj-1,jk-1) + zgrv(ji,jj-1,jk ) ) * tmask (ji,jj,jk) |
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[1515] | 254 | ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
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| 255 | ! ! static instability: kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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[3] | 256 | zbi = MIN( zwy (ji,jj,jk),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,jk)*ABS(zai) ) |
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| 257 | zbj = MIN( zwy (ji,jj,jk), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,jk)*ABS(zaj) ) |
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[1515] | 258 | ! ! wslpi and wslpj output in zwz and zww, resp. |
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[461] | 259 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji,jj,jk-1) ) |
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| 260 | zcoef3 = fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj), 10. ) |
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| 261 | zwz(ji,jj,jk) = ( zai / ( zbi - zeps) * ( 1. - zalpha ) & |
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| 262 | & + zcoef3 * wslpiml(ji,jj) * zalpha ) * tmask (ji,jj,jk) |
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| 263 | zww(ji,jj,jk) = ( zaj / ( zbj - zeps) * ( 1. - zalpha ) & |
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| 264 | & + zcoef3 * wslpjml(ji,jj) * zalpha ) * tmask (ji,jj,jk) |
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[3] | 265 | END DO |
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| 266 | END DO |
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[1515] | 267 | END DO |
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| 268 | CALL lbc_lnk( zwz, 'T', -1. ) ; CALL lbc_lnk( zww, 'T', -1. ) ! lateral boundary conditions on zwz and zww |
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| 269 | ! |
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| 270 | ! !* horizontal Shapiro filter |
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| 271 | DO jk = 2, jpkm1 |
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| 272 | DO jj = 2, jpjm1, jpj-3 ! rows jj=2 and =jpjm1 |
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[3] | 273 | DO ji = 2, jpim1 |
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[1515] | 274 | zcofw = tmask(ji,jj,jk) / 16. |
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[3] | 275 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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| 276 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 277 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 278 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 279 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
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| 280 | |
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| 281 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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| 282 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 283 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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| 284 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 285 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
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| 286 | END DO |
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[1515] | 287 | END DO |
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| 288 | DO jj = 3, jpj-2 ! other rows |
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[3] | 289 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1515] | 290 | zcofw = tmask(ji,jj,jk) / 16. |
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[3] | 291 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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| 292 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 293 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 294 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 295 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
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| 296 | |
---|
| 297 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
---|
| 298 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
---|
| 299 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
---|
| 300 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 301 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
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| 302 | END DO |
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| 303 | END DO |
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[1515] | 304 | ! !* decrease along coastal boundaries |
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[3] | 305 | DO jj = 2, jpjm1 |
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| 306 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 307 | z1u = ( umask(ji,jj,jk) + umask(ji-1,jj,jk) ) *.5 |
---|
| 308 | z1v = ( vmask(ji,jj,jk) + vmask(ji,jj-1,jk) ) *.5 |
---|
| 309 | wslpi(ji,jj,jk) = wslpi(ji,jj,jk) * z1u * z1v |
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| 310 | wslpj(ji,jj,jk) = wslpj(ji,jj,jk) * z1u * z1v |
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| 311 | END DO |
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| 312 | END DO |
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[1515] | 313 | END DO |
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[3] | 314 | |
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[1515] | 315 | ! III. Specific grid points |
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| 316 | ! =========================== |
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| 317 | ! |
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| 318 | IF( cp_cfg == "orca" .AND. jp_cfg == 4 ) THEN ! ORCA_R4 configuration: horizontal diffusion in specific area |
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| 319 | ! ! Gibraltar Strait |
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| 320 | ij0 = 50 ; ij1 = 53 |
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| 321 | ii0 = 69 ; ii1 = 71 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 322 | ij0 = 51 ; ij1 = 53 |
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| 323 | ii0 = 68 ; ii1 = 71 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 324 | ii0 = 69 ; ii1 = 71 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 325 | ii0 = 69 ; ii1 = 71 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 326 | ! |
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| 327 | ! ! Mediterrannean Sea |
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| 328 | ij0 = 49 ; ij1 = 56 |
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| 329 | ii0 = 71 ; ii1 = 90 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 330 | ij0 = 50 ; ij1 = 56 |
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| 331 | ii0 = 70 ; ii1 = 90 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 332 | ii0 = 71 ; ii1 = 90 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 333 | ii0 = 71 ; ii1 = 90 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 334 | ENDIF |
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[3] | 335 | |
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| 336 | |
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[1515] | 337 | ! IV. Lateral boundary conditions |
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| 338 | ! =============================== |
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[461] | 339 | CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) |
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| 340 | CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) |
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[3] | 341 | |
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[1515] | 342 | |
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[258] | 343 | IF(ln_ctl) THEN |
---|
| 344 | CALL prt_ctl(tab3d_1=uslp , clinfo1=' slp - u : ', tab3d_2=vslp, clinfo2=' v : ', kdim=jpk) |
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| 345 | CALL prt_ctl(tab3d_1=wslpi, clinfo1=' slp - wi: ', tab3d_2=wslpj, clinfo2=' wj: ', kdim=jpk) |
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[49] | 346 | ENDIF |
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[1515] | 347 | ! |
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[3] | 348 | END SUBROUTINE ldf_slp |
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| 349 | |
---|
[2236] | 350 | SUBROUTINE ldf_slp_grif ( kt ) |
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| 351 | !!---------------------------------------------------------------------- |
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| 352 | !! *** ROUTINE ldf_slp_grif *** |
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| 353 | !! |
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| 354 | !! ** Purpose : Compute the squared slopes of neutral surfaces (slope |
---|
| 355 | !! of iso-pycnal surfaces referenced locally) ('key_traldfiso') |
---|
| 356 | !! at W-points using the Griffies quarter-cells. Also calculates |
---|
| 357 | !! alpha and beta at T-points for use in the Griffies isopycnal |
---|
| 358 | !! scheme. |
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| 359 | !! |
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| 360 | !! ** Method : The slope in the i-direction is computed at U- and |
---|
| 361 | !! W-points (uslp, wslpi) and the slope in the j-direction is |
---|
| 362 | !! computed at V- and W-points (vslp, wslpj). |
---|
| 363 | !! |
---|
| 364 | !! ** Action : - alpha, beta |
---|
| 365 | !! wslp2 squared slope of neutral surfaces at w-points. |
---|
| 366 | !! |
---|
| 367 | !! History : |
---|
| 368 | !! 9.0 ! 06-10 (C. Harris) New subroutine |
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| 369 | !!---------------------------------------------------------------------- |
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| 370 | !! * Modules used |
---|
| 371 | USE oce , zdit => ua, & ! use ua as workspace |
---|
| 372 | zdis => va, & ! use va as workspace |
---|
| 373 | zdjt => ta, & ! use ta as workspace |
---|
| 374 | zdjs => sa ! use sa as workspace |
---|
| 375 | !! * Arguments |
---|
| 376 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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[3] | 377 | |
---|
[2236] | 378 | !! * Local declarations |
---|
| 379 | INTEGER :: ji, jj, jk, ip, jp, kp ! dummy loop indices |
---|
| 380 | INTEGER :: iku, ikv ! temporary integer |
---|
| 381 | REAL(wp) :: & |
---|
| 382 | zt, zs, zh, zt2, zsp5, zp1t1, & ! temporary scalars |
---|
| 383 | zdenr, zrhotmp, zdndt, zdddt, & ! " " |
---|
| 384 | zdnds, zddds, znum, zden, & ! " " |
---|
| 385 | zslope, za_sxe, zslopec, zdsloper,& ! " " |
---|
| 386 | zfact, zepsln, zatempw,zatempu,zatempv, & ! " " |
---|
| 387 | ze1ur,ze2vr,ze3wr,zdxt,zdxs,zdyt,zdys,zdzt,zdzs,zvolf,& |
---|
| 388 | zr_slpmax,zdxrho,zdyrho,zabs_dzrho |
---|
| 389 | REAL(wp), DIMENSION(jpi,jpj,jpk,0:1,0:1) :: & |
---|
| 390 | zsx,zsy |
---|
| 391 | REAL(wp), DIMENSION(jpi,jpj,0:1,0:1) :: & |
---|
| 392 | zsx_ml_base,zsy_ml_base |
---|
| 393 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
| 394 | zdkt,zdks |
---|
| 395 | REAL(wp), DIMENSION(jpi,jpj) :: & |
---|
| 396 | zr_ml_basew |
---|
| 397 | !!---------------------------------------------------------------------- |
---|
| 398 | |
---|
| 399 | ! 0. Local constant initialization |
---|
| 400 | ! -------------------------------- |
---|
| 401 | zr_slpmax = 1.0_wp/slpmax |
---|
| 402 | |
---|
| 403 | ! zslopec=0.004 |
---|
| 404 | ! zdsloper=1000.0 |
---|
| 405 | zepsln=1e-25 |
---|
| 406 | |
---|
| 407 | SELECT CASE ( nn_eos ) |
---|
| 408 | |
---|
| 409 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
---|
| 410 | |
---|
| 411 | ! ! =============== |
---|
| 412 | DO jk = 1, jpk ! Horizontal slab |
---|
| 413 | ! ! =============== |
---|
| 414 | DO jj = 1, jpjm1 |
---|
| 415 | DO ji = 1, fs_jpim1 |
---|
| 416 | zt = tb(ji,jj,jk) ! potential temperature |
---|
| 417 | zs = sb(ji,jj,jk) - 35.0 ! salinity anomaly (s-35) |
---|
| 418 | zh = fsdept(ji,jj,jk) ! depth in meters |
---|
| 419 | |
---|
| 420 | beta(ji,jj,jk) = ( ( -0.415613e-09 * zt + 0.555579e-07 ) * zt & |
---|
| 421 | & - 0.301985e-05 ) * zt & |
---|
| 422 | & + 0.785567e-03 & |
---|
| 423 | & + ( 0.515032e-08 * zs & |
---|
| 424 | & + 0.788212e-08 * zt - 0.356603e-06 ) * zs & |
---|
| 425 | & +( ( 0.121551e-17 * zh & |
---|
| 426 | & - 0.602281e-15 * zs & |
---|
| 427 | & - 0.175379e-14 * zt + 0.176621e-12 ) * zh & |
---|
| 428 | & + 0.408195e-10 * zs & |
---|
| 429 | & + ( - 0.213127e-11 * zt + 0.192867e-09 ) * zt & |
---|
| 430 | & - 0.121555e-07 ) * zh |
---|
| 431 | |
---|
| 432 | alpha(ji,jj,jk) = - beta(ji,jj,jk) * & |
---|
| 433 | & (((( - 0.255019e-07 * zt + 0.298357e-05 ) * zt & |
---|
| 434 | & - 0.203814e-03 ) * zt & |
---|
| 435 | & + 0.170907e-01 ) * zt & |
---|
| 436 | & + 0.665157e-01 & |
---|
| 437 | & + ( - 0.678662e-05 * zs & |
---|
| 438 | & - 0.846960e-04 * zt + 0.378110e-02 ) * zs & |
---|
| 439 | & + ( ( - 0.302285e-13 * zh & |
---|
| 440 | & - 0.251520e-11 * zs & |
---|
| 441 | & + 0.512857e-12 * zt * zt ) * zh & |
---|
| 442 | & - 0.164759e-06 * zs & |
---|
| 443 | & +( 0.791325e-08 * zt - 0.933746e-06 ) * zt & |
---|
| 444 | & + 0.380374e-04 ) * zh) |
---|
| 445 | |
---|
| 446 | ENDDO |
---|
| 447 | ENDDO |
---|
| 448 | ENDDO |
---|
| 449 | |
---|
| 450 | CASE ( 1 ) |
---|
| 451 | |
---|
| 452 | alpha(:,:,:)=-rn_alpha |
---|
| 453 | beta(:,:,:)=0.0 |
---|
| 454 | |
---|
| 455 | CASE ( 2 ) |
---|
| 456 | |
---|
| 457 | alpha(:,:,:)=-rn_alpha |
---|
| 458 | beta (:,:,:)=rn_beta |
---|
| 459 | |
---|
| 460 | CASE ( 3 ) |
---|
| 461 | |
---|
| 462 | DO jk =1, jpk |
---|
| 463 | DO jj = 1, jpjm1 |
---|
| 464 | DO ji = 1, fs_jpim1 |
---|
| 465 | zt = tb(ji,jj,jk) |
---|
| 466 | zs = sb(ji,jj,jk) |
---|
| 467 | zh = fsdept(ji,jj,jk) |
---|
| 468 | zt2 = zt**2 |
---|
| 469 | zsp5 = sqrt(ABS(zs)) |
---|
| 470 | zp1t1=zh*zt |
---|
| 471 | znum=9.99843699e+02+zt*(7.35212840e+00+zt*(-5.45928211e-02+3.98476704e-04*zt)) & |
---|
| 472 | +zs*(2.96938239e+00-7.23268813e-03*zt+2.12382341e-03*zs) & |
---|
| 473 | +zh*(1.04004591e-02+1.03970529e-07*zt2+5.18761880e-06*zs+ & |
---|
| 474 | zh*(-3.24041825e-08-1.23869360e-11*zt2)) |
---|
| 475 | zden=1.00000000e+00+zt*(7.28606739e-03+zt*(-4.60835542e-05+zt*(3.68390573e-07+zt*1.80809186e-10))) & |
---|
| 476 | +zs*(2.14691708e-03+zt*(-9.27062484e-06-1.78343643e-10*zt2)+zsp5*(4.76534122e-06+1.63410736e-09*zt2)) & |
---|
| 477 | + zh*(5.30848875e-06+zh*zt*(-3.03175128e-16*zt2-1.27934137e-17*zh)) |
---|
| 478 | zdenr=1.0/zden |
---|
| 479 | zrhotmp=znum*zdenr |
---|
| 480 | zdndt=7.35212840e+00+zt*(-1.091856422e-01+1.195430112e-03*zt)-7.23268813e-03*zs & |
---|
| 481 | +zp1t1*(2.07941058e-07-2.4773872e-11*zh) |
---|
| 482 | zdddt=7.28606739e-03+zt*(-9.21671084e-05+zt*(1.105171719e-06+7.23236744e-10*zt)) & |
---|
| 483 | +zs*(-9.27062484e-06+zt*(-5.35030929e-10*zt+3.26821472e-09*zsp5)) & |
---|
| 484 | +zh*zh*(-9.09525384e-16*zt2-1.27934137e-17*zh) |
---|
| 485 | zdnds=2.96938239e+00-7.23268813e-03*zt+2*2.12382341e-03*zs+5.18761880e-06*zh |
---|
| 486 | zddds=2.14691708e-03+zt*(-9.27062484e-06-1.78343643e-10*zt2)+zsp5*(7.14801183e-06+2.45116104e-09*zt2) |
---|
| 487 | alpha(ji,jj,jk)=(zdndt-zrhotmp*zdddt)*zdenr |
---|
| 488 | beta(ji,jj,jk)=zdenr*(zdnds-zrhotmp*zddds) |
---|
| 489 | |
---|
| 490 | END DO |
---|
| 491 | END DO |
---|
| 492 | END DO |
---|
| 493 | |
---|
| 494 | CASE DEFAULT |
---|
| 495 | |
---|
| 496 | IF(lwp) WRITE(numout,cform_err) |
---|
| 497 | IF(lwp) WRITE(numout,*) ' bad flag value for nn_eos = ', nn_eos |
---|
| 498 | nstop = nstop + 1 |
---|
| 499 | |
---|
| 500 | END SELECT |
---|
| 501 | |
---|
| 502 | CALL lbc_lnk( alpha, 'T', 1. ) |
---|
| 503 | CALL lbc_lnk( beta, 'T', 1. ) |
---|
| 504 | |
---|
| 505 | |
---|
| 506 | ! --------------------------------------- |
---|
| 507 | ! 1. Horizontal tracer gradients at T-level jk |
---|
| 508 | ! --------------------------------------- |
---|
| 509 | DO jk = 1, jpkm1 |
---|
| 510 | DO jj = 1, jpjm1 |
---|
| 511 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 512 | ! i-gradient of T and S at jj |
---|
| 513 | zdit (ji,jj,jk) = ( tb(ji+1,jj,jk)-tb(ji,jj,jk) ) * umask(ji,jj,jk) |
---|
| 514 | zdis (ji,jj,jk) = ( sb(ji+1,jj,jk)-sb(ji,jj,jk) ) * umask(ji,jj,jk) |
---|
| 515 | ! j-gradient of T and S at jj |
---|
| 516 | zdjt (ji,jj,jk) = ( tb(ji,jj+1,jk)-tb(ji,jj,jk) ) * vmask(ji,jj,jk) |
---|
| 517 | zdjs (ji,jj,jk) = ( sb(ji,jj+1,jk)-sb(ji,jj,jk) ) * vmask(ji,jj,jk) |
---|
| 518 | END DO |
---|
| 519 | END DO |
---|
| 520 | END DO |
---|
| 521 | |
---|
| 522 | IF( ln_zps ) THEN ! partial steps correction at the last level |
---|
| 523 | # if defined key_vectopt_loop && ! defined key_mpp_omp |
---|
| 524 | jj = 1 |
---|
| 525 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
---|
| 526 | # else |
---|
| 527 | DO jj = 1, jpjm1 |
---|
| 528 | DO ji = 1, jpim1 |
---|
| 529 | # endif |
---|
| 530 | ! last ocean level |
---|
| 531 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
---|
| 532 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
---|
| 533 | ! i-gradient of T and S |
---|
[2239] | 534 | zdit (ji,jj,iku) = gtsu(ji,jj,jp_tem) |
---|
| 535 | zdis (ji,jj,iku) = gtsu(ji,jj,jp_sal) |
---|
[2236] | 536 | ! j-gradient of T and S |
---|
[2239] | 537 | zdjt (ji,jj,ikv) = gtsv(ji,jj,jp_tem) |
---|
| 538 | zdjs (ji,jj,ikv) = gtsv(ji,jj,jp_sal) |
---|
[2236] | 539 | # if ! defined key_vectopt_loop || defined key_mpp_omp |
---|
| 540 | END DO |
---|
| 541 | # endif |
---|
| 542 | END DO |
---|
| 543 | ENDIF |
---|
| 544 | |
---|
| 545 | ! --------------------------------------- |
---|
| 546 | ! 1. Vertical tracer gradient at w-level jk |
---|
| 547 | ! --------------------------------------- |
---|
| 548 | DO jk = 2, jpk |
---|
| 549 | zdkt(:,:,jk) = ( tb(:,:,jk-1) - tb(:,:,jk) ) * tmask(:,:,jk) |
---|
| 550 | zdks(:,:,jk) = ( sb(:,:,jk-1) - sb(:,:,jk) ) * tmask(:,:,jk) |
---|
| 551 | END DO |
---|
| 552 | |
---|
| 553 | zdkt(:,:,1) = 0.0 |
---|
| 554 | zdks(:,:,1) = 0.0 |
---|
| 555 | |
---|
| 556 | ! --------------------------------------- |
---|
| 557 | ! Depth of the w-point below ML base |
---|
| 558 | ! --------------------------------------- |
---|
| 559 | DO jj = 1, jpj |
---|
| 560 | DO ji = 1, jpi |
---|
| 561 | jk = nmln(ji,jj) |
---|
| 562 | zr_ml_basew(ji,jj)=1.0/fsdepw(ji,jj,jk+1) |
---|
| 563 | END DO |
---|
| 564 | END DO |
---|
| 565 | |
---|
| 566 | |
---|
| 567 | wslp2(:,:,:)=0.0 |
---|
| 568 | tfw(:,:,:) = 0.0 |
---|
| 569 | sfw(:,:,:) = 0.0 |
---|
| 570 | ftu(:,:,:) = 0.0 |
---|
| 571 | fsu(:,:,:) = 0.0 |
---|
| 572 | ftv(:,:,:) = 0.0 |
---|
| 573 | fsv(:,:,:) = 0.0 |
---|
| 574 | ftud(:,:,:) = 0.0 |
---|
| 575 | fsud(:,:,:) = 0.0 |
---|
| 576 | ftvd(:,:,:) = 0.0 |
---|
| 577 | fsvd(:,:,:) = 0.0 |
---|
| 578 | psix_eiv(:,:,:) = 0.0 |
---|
| 579 | psiy_eiv(:,:,:) = 0.0 |
---|
| 580 | |
---|
| 581 | ! ---------------------------------------------------------------------- |
---|
| 582 | ! x-z plane |
---|
| 583 | ! ---------------------------------------------------------------------- |
---|
| 584 | |
---|
| 585 | ! calculate limited triad x-slopes zsx in interior (1=<jk=<jpk-1) |
---|
| 586 | DO ip=0,1 |
---|
| 587 | DO kp=0,1 |
---|
| 588 | |
---|
| 589 | DO jk = 1, jpkm1 |
---|
| 590 | DO jj = 1, jpjm1 |
---|
| 591 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 592 | |
---|
| 593 | ze1ur=1.0/e1u(ji,jj) |
---|
| 594 | zdxt=zdit(ji,jj,jk)*ze1ur |
---|
| 595 | zdxs=zdis(ji,jj,jk)*ze1ur |
---|
| 596 | |
---|
| 597 | ze3wr=1.0/fse3w(ji+ip,jj,jk+kp) |
---|
| 598 | zdzt=zdkt(ji+ip,jj,jk+kp)*ze3wr |
---|
| 599 | zdzs=zdks(ji+ip,jj,jk+kp)*ze3wr |
---|
| 600 | ! Calculate the horizontal and vertical density gradient |
---|
| 601 | zdxrho = alpha(ji+ip,jj,jk)*zdxt+beta(ji+ip,jj,jk)*zdxs |
---|
| 602 | zabs_dzrho = ABS(alpha(ji+ip,jj,jk)*zdzt+beta(ji+ip,jj,jk)*zdzs)+zepsln |
---|
| 603 | ! Limit by slpmax, and mask by psi-point |
---|
| 604 | zsx(ji+ip,jj,jk,1-ip,kp) = umask(ji,jj,jk+kp) & |
---|
| 605 | & *zdxrho/MAX(zabs_dzrho,zr_slpmax*ABS(zdxrho)) |
---|
| 606 | END DO |
---|
| 607 | END DO |
---|
| 608 | END DO |
---|
| 609 | |
---|
| 610 | END DO |
---|
| 611 | END DO |
---|
| 612 | |
---|
| 613 | ! calculate slope of triad immediately below mixed-layer base |
---|
| 614 | DO ip=0,1 |
---|
| 615 | DO kp=0,1 |
---|
| 616 | DO jj = 1, jpjm1 |
---|
| 617 | DO ji = 1, fs_jpim1 |
---|
| 618 | jk = nmln(ji+ip,jj) |
---|
| 619 | zsx_ml_base(ji+ip,jj,1-ip,kp)=zsx(ji+ip,jj,jk+1-kp,1-ip,kp) |
---|
| 620 | END DO |
---|
| 621 | END DO |
---|
| 622 | END DO |
---|
| 623 | END DO |
---|
| 624 | |
---|
| 625 | ! Below ML use limited zsx as is |
---|
| 626 | ! Inside ML replace by linearly reducing zsx_ml_base towards surface |
---|
| 627 | DO ip=0,1 |
---|
| 628 | DO kp=0,1 |
---|
| 629 | |
---|
| 630 | DO jk = 1, jpkm1 |
---|
| 631 | |
---|
| 632 | DO jj = 1, jpjm1 |
---|
| 633 | |
---|
| 634 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 635 | ! k index of uppermost point(s) of triad is jk+kp-1 |
---|
| 636 | ! must be .ge. nmln(ji,jj) for zfact=1. |
---|
| 637 | ! otherwise zfact=0. |
---|
| 638 | zfact = 1 - 1/(1 + (jk+kp-1)/nmln(ji+ip,jj)) |
---|
| 639 | zsx(ji+ip,jj,jk,1-ip,kp) = zfact*zsx(ji+ip,jj,jk,1-ip,kp) + & |
---|
| 640 | & (1.0_wp-zfact)*(fsdepw(ji+ip,jj,jk+kp)*zr_ml_basew(ji+ip,jj))*zsx_ml_base(ji+ip,jj,1-ip,kp) |
---|
| 641 | END DO |
---|
| 642 | |
---|
| 643 | END DO |
---|
| 644 | |
---|
| 645 | END DO |
---|
| 646 | END DO |
---|
| 647 | END DO |
---|
| 648 | |
---|
| 649 | ! Use zsx to calculate fluxes and save averaged slopes psix_eiv at psi-points |
---|
| 650 | DO ip=0,1 |
---|
| 651 | DO kp=0,1 |
---|
| 652 | |
---|
| 653 | DO jk = 1, jpkm1 |
---|
| 654 | |
---|
| 655 | DO jj = 1, jpjm1 |
---|
| 656 | |
---|
| 657 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 658 | |
---|
| 659 | ze1ur=1.0/e1u(ji,jj) |
---|
| 660 | zdxt=zdit(ji,jj,jk)*ze1ur |
---|
| 661 | zdxs=zdis(ji,jj,jk)*ze1ur |
---|
| 662 | |
---|
| 663 | ze3wr=1.0/fse3w(ji+ip,jj,jk+kp) |
---|
| 664 | zdzt=zdkt(ji+ip,jj,jk+kp)*ze3wr |
---|
| 665 | zdzs=zdks(ji+ip,jj,jk+kp)*ze3wr |
---|
| 666 | zslope=zsx(ji+ip,jj,jk,1-ip,kp) |
---|
| 667 | |
---|
| 668 | zvolf = 0.25_wp*e1u(ji,jj)*e2u(ji,jj)*fse3u(ji,jj,jk) |
---|
| 669 | |
---|
| 670 | ftu(ji,jj,jk)= ftu(ji,jj,jk)+zslope*zdzt*zvolf*ze1ur |
---|
| 671 | fsu(ji,jj,jk)= fsu(ji,jj,jk)+zslope*zdzs*zvolf*ze1ur |
---|
| 672 | ftud(ji,jj,jk)=ftud(ji,jj,jk)+fsahtu(ji,jj,jk)*zdxt*zvolf*ze1ur |
---|
| 673 | fsud(ji,jj,jk)=fsud(ji,jj,jk)+fsahtu(ji,jj,jk)*zdxs*zvolf*ze1ur |
---|
| 674 | tfw(ji+ip,jj,jk+kp)=tfw(ji+ip,jj,jk+kp)+(zvolf*ze3wr)*zslope*zdxt |
---|
| 675 | sfw(ji+ip,jj,jk+kp)=sfw(ji+ip,jj,jk+kp)+(zvolf*ze3wr)*zslope*zdxs |
---|
| 676 | wslp2(ji+ip,jj,jk+kp)=wslp2(ji+ip,jj,jk+kp)+ & |
---|
| 677 | & ((zvolf*ze3wr)/(e1t(ji+ip,jj)*e2t(ji+ip,jj)))*(zslope)**2 |
---|
| 678 | psix_eiv(ji,jj,jk+kp) = psix_eiv(ji,jj,jk+kp) + 0.25_wp*zslope |
---|
| 679 | |
---|
| 680 | END DO |
---|
| 681 | END DO |
---|
| 682 | |
---|
| 683 | END DO |
---|
| 684 | END DO |
---|
| 685 | END DO |
---|
| 686 | |
---|
| 687 | ! ---------------------------------------------------------------------- |
---|
| 688 | ! y-z plane |
---|
| 689 | ! ---------------------------------------------------------------------- |
---|
| 690 | |
---|
| 691 | ! calculate limited triad y-slopes zsy in interior (1=<jk=<jpk-1) |
---|
| 692 | DO jp=0,1 |
---|
| 693 | DO kp=0,1 |
---|
| 694 | |
---|
| 695 | DO jk = 1, jpkm1 |
---|
| 696 | DO jj = 1, jpjm1 |
---|
| 697 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 698 | |
---|
| 699 | ze2vr=1.0/e2v(ji,jj) |
---|
| 700 | zdyt=zdjt(ji,jj,jk)*ze2vr |
---|
| 701 | zdys=zdjs(ji,jj,jk)*ze2vr |
---|
| 702 | |
---|
| 703 | ze3wr=1.0/fse3w(ji,jj+jp,jk+kp) |
---|
| 704 | zdzt=zdkt(ji,jj+jp,jk+kp)*ze3wr |
---|
| 705 | zdzs=zdks(ji,jj+jp,jk+kp)*ze3wr |
---|
| 706 | ! Calculate the horizontal and vertical density gradient |
---|
| 707 | zdyrho = alpha(ji,jj+jp,jk)*zdyt+beta(ji,jj+jp,jk)*zdys |
---|
| 708 | zabs_dzrho = ABS(alpha(ji,jj+jp,jk)*zdzt+beta(ji,jj+jp,jk)*zdzs)+zepsln |
---|
| 709 | ! Limit by slpmax, and mask by psi-point |
---|
| 710 | zsy(ji,jj+jp,jk,1-jp,kp) = vmask(ji,jj,jk+kp) & |
---|
| 711 | & *zdyrho/MAX(zabs_dzrho,zr_slpmax*ABS(zdyrho)) |
---|
| 712 | END DO |
---|
| 713 | END DO |
---|
| 714 | END DO |
---|
| 715 | |
---|
| 716 | END DO |
---|
| 717 | END DO |
---|
| 718 | |
---|
| 719 | ! calculate slope of triad immediately below mixed-layer base |
---|
| 720 | DO jp=0,1 |
---|
| 721 | DO kp=0,1 |
---|
| 722 | DO jj = 1, jpjm1 |
---|
| 723 | DO ji = 1, fs_jpim1 |
---|
| 724 | jk = nmln(ji,jj+jp) |
---|
| 725 | zsy_ml_base(ji,jj+jp,1-jp,kp)=zsy(ji,jj+jp,jk+1-kp,1-jp,kp) |
---|
| 726 | END DO |
---|
| 727 | END DO |
---|
| 728 | END DO |
---|
| 729 | END DO |
---|
| 730 | |
---|
| 731 | ! Below ML use limited zsy as is |
---|
| 732 | ! Inside ML replace by linearly reducing zsy_ml_base towards surface |
---|
| 733 | DO jp=0,1 |
---|
| 734 | DO kp=0,1 |
---|
| 735 | |
---|
| 736 | DO jk = 1, jpkm1 |
---|
| 737 | |
---|
| 738 | DO jj = 1, jpjm1 |
---|
| 739 | |
---|
| 740 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 741 | ! k index of uppermost point(s) of triad is jk+kp-1 |
---|
| 742 | ! must be .ge. nmln(ji,jj) for zfact=1. |
---|
| 743 | ! otherwise zfact=0. |
---|
| 744 | zfact = 1 - 1/(1 + (jk+kp-1)/nmln(ji,jj+jp)) |
---|
| 745 | zsy(ji,jj+jp,jk,1-jp,kp) = zfact*zsy(ji,jj+jp,jk,1-jp,kp) + & |
---|
| 746 | & (1.0_wp-zfact)*(fsdepw(ji,jj+jp,jk+kp)*zr_ml_basew(ji,jj+jp))*zsy_ml_base(ji,jj+jp,1-jp,kp) |
---|
| 747 | END DO |
---|
| 748 | |
---|
| 749 | END DO |
---|
| 750 | |
---|
| 751 | END DO |
---|
| 752 | END DO |
---|
| 753 | END DO |
---|
| 754 | |
---|
| 755 | ! Use zsy to calculate fluxes and save averaged slopes psiy_eiv at psi-points |
---|
| 756 | DO jp=0,1 |
---|
| 757 | DO kp=0,1 |
---|
| 758 | |
---|
| 759 | DO jk = 1, jpkm1 |
---|
| 760 | |
---|
| 761 | DO jj = 1, jpjm1 |
---|
| 762 | |
---|
| 763 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 764 | |
---|
| 765 | ze2vr=1.0/e2v(ji,jj) |
---|
| 766 | zdyt=zdjt(ji,jj,jk)*ze2vr |
---|
| 767 | zdys=zdjs(ji,jj,jk)*ze2vr |
---|
| 768 | |
---|
| 769 | ze3wr=1.0/fse3w(ji,jj+jp,jk+kp) |
---|
| 770 | zdzt=zdkt(ji,jj+jp,jk+kp)*ze3wr |
---|
| 771 | zdzs=zdks(ji,jj+jp,jk+kp)*ze3wr |
---|
| 772 | zslope=zsy(ji,jj+jp,jk,1-jp,kp) |
---|
| 773 | |
---|
| 774 | zvolf = 0.25_wp*e1v(ji,jj)*e2v(ji,jj)*fse3v(ji,jj,jk) |
---|
| 775 | |
---|
| 776 | ftv(ji,jj,jk)= ftv(ji,jj,jk)+zslope*zdzt*zvolf*ze2vr |
---|
| 777 | fsv(ji,jj,jk)= fsv(ji,jj,jk)+zslope*zdzs*zvolf*ze2vr |
---|
| 778 | ftvd(ji,jj,jk)=ftvd(ji,jj,jk)+fsahtv(ji,jj,jk)*zdyt*zvolf*ze2vr |
---|
| 779 | fsvd(ji,jj,jk)=fsvd(ji,jj,jk)+fsahtv(ji,jj,jk)*zdys*zvolf*ze2vr |
---|
| 780 | tfw(ji,jj+jp,jk+kp)=tfw(ji,jj+jp,jk+kp)+(zvolf*ze3wr)*zslope*zdyt |
---|
| 781 | sfw(ji,jj+jp,jk+kp)=sfw(ji,jj+jp,jk+kp)+(zvolf*ze3wr)*zslope*zdys |
---|
| 782 | wslp2(ji,jj+jp,jk+kp)=wslp2(ji,jj+jp,jk+kp)+ & |
---|
| 783 | & ((zvolf*ze3wr)/(e1t(ji,jj+jp)*e2t(ji,jj+jp)))*(zslope)**2 |
---|
| 784 | psiy_eiv(ji,jj,jk+kp) = psiy_eiv(ji,jj,jk+kp) + 0.25_wp*zslope |
---|
| 785 | |
---|
| 786 | END DO |
---|
| 787 | END DO |
---|
| 788 | |
---|
| 789 | END DO |
---|
| 790 | END DO |
---|
| 791 | END DO |
---|
| 792 | |
---|
| 793 | tfw(:,:,1)=0.0 |
---|
| 794 | sfw(:,:,1)=0.0 |
---|
| 795 | wslp2(:,:,1)=0.0 |
---|
| 796 | |
---|
| 797 | CALL lbc_lnk( wslp2, 'W', 1. ) |
---|
| 798 | CALL lbc_lnk( tfw, 'W', 1. ) |
---|
| 799 | CALL lbc_lnk( sfw, 'W', 1. ) |
---|
| 800 | CALL lbc_lnk( ftu, 'U', -1. ) |
---|
| 801 | CALL lbc_lnk( fsu, 'U', -1. ) |
---|
| 802 | CALL lbc_lnk( ftv, 'V', -1. ) |
---|
| 803 | CALL lbc_lnk( fsv, 'V', -1. ) |
---|
| 804 | CALL lbc_lnk( ftud, 'U', -1. ) |
---|
| 805 | CALL lbc_lnk( fsud, 'U', -1. ) |
---|
| 806 | CALL lbc_lnk( ftvd, 'V', -1. ) |
---|
| 807 | CALL lbc_lnk( fsvd, 'V', -1. ) |
---|
| 808 | CALL lbc_lnk( psix_eiv, 'U', -1. ) |
---|
| 809 | CALL lbc_lnk( psiy_eiv, 'V', -1. ) |
---|
| 810 | |
---|
| 811 | |
---|
| 812 | END SUBROUTINE ldf_slp_grif |
---|
| 813 | |
---|
| 814 | |
---|
[3] | 815 | SUBROUTINE ldf_slp_mxl( prd, pn2 ) |
---|
| 816 | !!---------------------------------------------------------------------- |
---|
| 817 | !! *** ROUTINE ldf_slp_mxl *** |
---|
| 818 | !! |
---|
[1515] | 819 | !! ** Purpose : Compute the slopes of iso-neutral surface just below |
---|
| 820 | !! the mixed layer. |
---|
| 821 | !! |
---|
[3] | 822 | !! ** Method : |
---|
| 823 | !! The slope in the i-direction is computed at u- and w-points |
---|
| 824 | !! (uslp, wslpi) and the slope in the j-direction is computed at |
---|
| 825 | !! v- and w-points (vslp, wslpj). |
---|
| 826 | !! They are bounded by 1/100 over the whole ocean, and within the |
---|
| 827 | !! surface layer they are bounded by the distance to the surface |
---|
| 828 | !! ( slope<= depth/l where l is the length scale of horizontal |
---|
| 829 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
---|
| 830 | !! of 10cm/s) |
---|
| 831 | !! |
---|
[1515] | 832 | !! ** Action : Compute uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
---|
[3] | 833 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
---|
[1515] | 834 | !!---------------------------------------------------------------------- |
---|
| 835 | USE oce , zgru => ua ! ua, va used as workspace and set to hor. |
---|
| 836 | USE oce , zgrv => va ! density gradient in ldf_slp |
---|
| 837 | !! |
---|
| 838 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in) :: prd ! in situ density |
---|
| 839 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in) :: pn2 ! Brunt-Vaisala frequency (locally ref.) |
---|
[3] | 840 | !! |
---|
[1515] | 841 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 842 | INTEGER :: ik, ikm1 ! temporary integers |
---|
| 843 | REAL(wp) :: zeps, zmg, zm05g ! temporary scalars |
---|
| 844 | REAL(wp) :: zcoef1, zcoef2 ! - - |
---|
| 845 | REAL(wp) :: zau, zbu, zai, zbi ! - - |
---|
| 846 | REAL(wp) :: zav, zbv, zaj, zbj ! - - |
---|
| 847 | REAL(wp), DIMENSION(jpi,jpj) :: zwy ! 2D workspace |
---|
[3] | 848 | !!---------------------------------------------------------------------- |
---|
| 849 | |
---|
[1515] | 850 | zeps = 1.e-20 ! Local constant initialization |
---|
[32] | 851 | zmg = -1.0 / grav |
---|
| 852 | zm05g = -0.5 / grav |
---|
[1515] | 853 | ! |
---|
[3] | 854 | uslpml (1,:) = 0.e0 ; uslpml (jpi,:) = 0.e0 |
---|
| 855 | vslpml (1,:) = 0.e0 ; vslpml (jpi,:) = 0.e0 |
---|
| 856 | wslpiml(1,:) = 0.e0 ; wslpiml(jpi,:) = 0.e0 |
---|
| 857 | wslpjml(1,:) = 0.e0 ; wslpjml(jpi,:) = 0.e0 |
---|
| 858 | |
---|
[1515] | 859 | ! ! surface mixed layer mask |
---|
| 860 | DO jk = 1, jpk ! =1 inside the mixed layer, =0 otherwise |
---|
[789] | 861 | # if defined key_vectopt_loop |
---|
[1515] | 862 | DO jj = 1, 1 |
---|
| 863 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
---|
[3] | 864 | # else |
---|
| 865 | DO jj = 1, jpj |
---|
| 866 | DO ji = 1, jpi |
---|
| 867 | # endif |
---|
| 868 | ik = nmln(ji,jj) - 1 |
---|
[1515] | 869 | IF( jk <= ik ) THEN ; omlmask(ji,jj,jk) = 1.e0 |
---|
| 870 | ELSE ; omlmask(ji,jj,jk) = 0.e0 |
---|
[3] | 871 | ENDIF |
---|
| 872 | END DO |
---|
| 873 | END DO |
---|
| 874 | END DO |
---|
| 875 | |
---|
| 876 | |
---|
| 877 | ! Slopes of isopycnal surfaces just before bottom of mixed layer |
---|
| 878 | ! -------------------------------------------------------------- |
---|
[1515] | 879 | ! The slope are computed as in the 3D case. |
---|
| 880 | ! A key point here is the definition of the mixed layer at u- and v-points. |
---|
| 881 | ! It is assumed to be the maximum of the two neighbouring T-point mixed layer depth. |
---|
| 882 | ! Otherwise, a n2 value inside the mixed layer can be involved in the computation |
---|
| 883 | ! of the slope, resulting in a too steep diagnosed slope and thus a spurious eddy |
---|
| 884 | ! induce velocity field near the base of the mixed layer. |
---|
[3] | 885 | !----------------------------------------------------------------------- |
---|
[1515] | 886 | ! |
---|
| 887 | zwy(:,jpj) = 0.e0 !* vertical density gradient for u-slope (from N^2) |
---|
[3] | 888 | zwy(jpi,:) = 0.e0 |
---|
[789] | 889 | # if defined key_vectopt_loop |
---|
[1515] | 890 | DO jj = 1, 1 |
---|
| 891 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
---|
[3] | 892 | # else |
---|
| 893 | DO jj = 1, jpjm1 |
---|
| 894 | DO ji = 1, jpim1 |
---|
| 895 | # endif |
---|
[1515] | 896 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) ! avoid spurious recirculation |
---|
| 897 | ik = MIN( ik, jpkm1 ) ! if ik = jpk take jpkm1 values |
---|
| 898 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) * ( pn2 (ji,jj,ik) + pn2 (ji,jj,ik+1) ) & |
---|
| 899 | & / MAX( tmask(ji,jj,ik) + tmask(ji,jj,ik+1), 1. ) |
---|
[3] | 900 | END DO |
---|
| 901 | END DO |
---|
[1515] | 902 | CALL lbc_lnk( zwy, 'U', 1. ) ! lateral boundary conditions NO sign change |
---|
[3] | 903 | |
---|
[1515] | 904 | ! !* Slope at u points |
---|
[789] | 905 | # if defined key_vectopt_loop |
---|
[1515] | 906 | DO jj = 1, 1 |
---|
| 907 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
---|
[3] | 908 | # else |
---|
| 909 | DO jj = 2, jpjm1 |
---|
| 910 | DO ji = 2, jpim1 |
---|
| 911 | # endif |
---|
| 912 | ! horizontal and vertical density gradient at u-points |
---|
| 913 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) |
---|
[1515] | 914 | ik = MIN( ik, jpkm1 ) |
---|
[3] | 915 | zau = 1./ e1u(ji,jj) * zgru(ji,jj,ik) |
---|
| 916 | zbu = 0.5*( zwy(ji,jj) + zwy(ji+1,jj) ) |
---|
| 917 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
---|
| 918 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
---|
| 919 | zbu = MIN( zbu, -100.*ABS(zau), -7.e+3/fse3u(ji,jj,ik)*ABS(zau) ) |
---|
| 920 | ! uslpml |
---|
| 921 | uslpml (ji,jj) = zau / ( zbu - zeps ) * umask (ji,jj,ik) |
---|
| 922 | END DO |
---|
| 923 | END DO |
---|
[1515] | 924 | CALL lbc_lnk( uslpml, 'U', -1. ) ! lateral boundary conditions (i-gradient => sign change) |
---|
[3] | 925 | |
---|
[1515] | 926 | ! !* vertical density gradient for v-slope (from N^2) |
---|
[789] | 927 | # if defined key_vectopt_loop |
---|
[1515] | 928 | DO jj = 1, 1 |
---|
| 929 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
---|
[3] | 930 | # else |
---|
| 931 | DO jj = 1, jpjm1 |
---|
| 932 | DO ji = 1, jpim1 |
---|
| 933 | # endif |
---|
| 934 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
---|
[1515] | 935 | ik = MIN( ik, jpkm1 ) |
---|
| 936 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) * ( pn2 (ji,jj,ik) + pn2 (ji,jj,ik+1) ) & |
---|
| 937 | & / MAX( tmask(ji,jj,ik) + tmask(ji,jj,ik+1), 1. ) |
---|
[3] | 938 | END DO |
---|
| 939 | END DO |
---|
[1515] | 940 | CALL lbc_lnk( zwy, 'V', 1. ) ! lateral boundary conditions NO sign change |
---|
[3] | 941 | |
---|
[1515] | 942 | ! !* Slope at v points |
---|
[789] | 943 | # if defined key_vectopt_loop |
---|
[1515] | 944 | DO jj = 1, 1 |
---|
| 945 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
---|
[3] | 946 | # else |
---|
| 947 | DO jj = 2, jpjm1 |
---|
| 948 | DO ji = 2, jpim1 |
---|
| 949 | # endif |
---|
| 950 | ! horizontal and vertical density gradient at v-points |
---|
| 951 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
---|
| 952 | ik = MIN( ik,jpkm1 ) |
---|
| 953 | zav = 1./ e2v(ji,jj) * zgrv(ji,jj,ik) |
---|
| 954 | zbv = 0.5*( zwy(ji,jj) + zwy(ji,jj+1) ) |
---|
| 955 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
---|
| 956 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
---|
| 957 | zbv = MIN( zbv, -100.*ABS(zav), -7.e+3/fse3v(ji,jj,ik)*ABS( zav ) ) |
---|
| 958 | ! vslpml |
---|
| 959 | vslpml (ji,jj) = zav / ( zbv - zeps ) * vmask (ji,jj,ik) |
---|
| 960 | END DO |
---|
| 961 | END DO |
---|
[1515] | 962 | CALL lbc_lnk( vslpml, 'V', -1. ) ! lateral boundary conditions (j-gradient => sign change) |
---|
[3] | 963 | |
---|
| 964 | |
---|
[1515] | 965 | ! !* vertical density gradient for w-slope (from N^2) |
---|
[789] | 966 | # if defined key_vectopt_loop |
---|
[1515] | 967 | DO jj = 1, 1 |
---|
| 968 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
---|
[3] | 969 | # else |
---|
| 970 | DO jj = 1, jpj |
---|
| 971 | DO ji = 1, jpi |
---|
| 972 | # endif |
---|
[1515] | 973 | ik = nmln(ji,jj) + 1 |
---|
| 974 | ik = MIN( ik, jpk ) |
---|
[3] | 975 | ikm1 = MAX ( 1, ik-1) |
---|
| 976 | zwy (ji,jj) = zm05g * pn2 (ji,jj,ik) * & |
---|
| 977 | & ( prd (ji,jj,ik) + prd (ji,jj,ikm1) + 2. ) |
---|
| 978 | END DO |
---|
| 979 | END DO |
---|
| 980 | |
---|
[1515] | 981 | ! !* Slopes at w points |
---|
[789] | 982 | # if defined key_vectopt_loop |
---|
[1515] | 983 | DO jj = 1, 1 |
---|
| 984 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
---|
[3] | 985 | # else |
---|
| 986 | DO jj = 2, jpjm1 |
---|
| 987 | DO ji = 2, jpim1 |
---|
| 988 | # endif |
---|
[1515] | 989 | ik = nmln(ji,jj) + 1 |
---|
| 990 | ik = MIN( ik, jpk ) |
---|
| 991 | ikm1 = MAX ( 1, ik-1 ) |
---|
[3] | 992 | ! horizontal density i-gradient at w-points |
---|
| 993 | zcoef1 = MAX( zeps, umask(ji-1,jj,ik )+umask(ji,jj,ik ) & |
---|
| 994 | & +umask(ji-1,jj,ikm1)+umask(ji,jj,ikm1) ) |
---|
| 995 | zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) |
---|
| 996 | zai = zcoef1 * ( zgru(ji ,jj,ik ) + zgru(ji ,jj,ikm1) & |
---|
| 997 | & + zgru(ji-1,jj,ikm1) + zgru(ji-1,jj,ik ) ) * tmask (ji,jj,ik) |
---|
| 998 | ! horizontal density j-gradient at w-points |
---|
| 999 | zcoef2 = MAX( zeps, vmask(ji,jj-1,ik )+vmask(ji,jj,ikm1) & |
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| 1000 | & +vmask(ji,jj-1,ikm1)+vmask(ji,jj,ik ) ) |
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| 1001 | zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) |
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| 1002 | zaj = zcoef2 * ( zgrv(ji,jj ,ik ) + zgrv(ji,jj ,ikm1) & |
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| 1003 | & + zgrv(ji,jj-1,ikm1) + zgrv(ji,jj-1,ik ) ) * tmask (ji,jj,ik) |
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| 1004 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
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| 1005 | ! static instability: |
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| 1006 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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| 1007 | zbi = MIN ( zwy (ji,jj),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,ik)*ABS(zai) ) |
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| 1008 | zbj = MIN ( zwy (ji,jj), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,ik)*ABS(zaj) ) |
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| 1009 | ! wslpiml and wslpjml |
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| 1010 | wslpiml (ji,jj) = zai / ( zbi - zeps) * tmask (ji,jj,ik) |
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| 1011 | wslpjml (ji,jj) = zaj / ( zbj - zeps) * tmask (ji,jj,ik) |
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| 1012 | END DO |
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| 1013 | END DO |
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[1515] | 1014 | CALL lbc_lnk( wslpiml, 'W', -1. ) ; CALL lbc_lnk( wslpjml, 'W', -1. ) ! lateral boundary conditions |
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| 1015 | ! |
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[3] | 1016 | END SUBROUTINE ldf_slp_mxl |
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| 1017 | |
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| 1018 | |
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| 1019 | SUBROUTINE ldf_slp_init |
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| 1020 | !!---------------------------------------------------------------------- |
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| 1021 | !! *** ROUTINE ldf_slp_init *** |
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| 1022 | !! |
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| 1023 | !! ** Purpose : Initialization for the isopycnal slopes computation |
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| 1024 | !! |
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| 1025 | !! ** Method : read the nammbf namelist and check the parameter |
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| 1026 | !! values called by tra_dmp at the first timestep (nit000) |
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| 1027 | !!---------------------------------------------------------------------- |
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| 1028 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 1029 | !!---------------------------------------------------------------------- |
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| 1030 | |
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[1515] | 1031 | IF(lwp) THEN |
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[3] | 1032 | WRITE(numout,*) |
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| 1033 | WRITE(numout,*) 'ldf_slp : direction of lateral mixing' |
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| 1034 | WRITE(numout,*) '~~~~~~~' |
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| 1035 | ENDIF |
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| 1036 | |
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| 1037 | ! Direction of lateral diffusion (tracers and/or momentum) |
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| 1038 | ! ------------------------------ |
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| 1039 | ! set the slope to zero (even in s-coordinates) |
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| 1040 | |
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| 1041 | uslp (:,:,:) = 0.e0 |
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| 1042 | vslp (:,:,:) = 0.e0 |
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| 1043 | wslpi(:,:,:) = 0.e0 |
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| 1044 | wslpj(:,:,:) = 0.e0 |
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| 1045 | |
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| 1046 | uslpml (:,:) = 0.e0 |
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| 1047 | vslpml (:,:) = 0.e0 |
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| 1048 | wslpiml(:,:) = 0.e0 |
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| 1049 | wslpjml(:,:) = 0.e0 |
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| 1050 | |
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[592] | 1051 | IF( (ln_traldf_hor .OR. ln_dynldf_hor) .AND. .NOT. (lk_vvl .AND. ln_rstart) ) THEN |
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[461] | 1052 | IF(lwp) THEN |
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| 1053 | WRITE(numout,*) ' Horizontal mixing in s-coordinate: slope = slope of s-surfaces' |
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| 1054 | ENDIF |
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[3] | 1055 | |
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| 1056 | ! geopotential diffusion in s-coordinates on tracers and/or momentum |
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| 1057 | ! The slopes of s-surfaces are computed once (no call to ldfslp in step) |
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| 1058 | ! The slopes for momentum diffusion are i- or j- averaged of those on tracers |
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| 1059 | |
---|
| 1060 | ! set the slope of diffusion to the slope of s-surfaces |
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| 1061 | ! ( c a u t i o n : minus sign as fsdep has positive value ) |
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| 1062 | DO jk = 1, jpk |
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| 1063 | DO jj = 2, jpjm1 |
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| 1064 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[461] | 1065 | uslp (ji,jj,jk) = -1./e1u(ji,jj) * ( fsdept(ji+1,jj,jk) - fsdept(ji ,jj ,jk) ) * umask(ji,jj,jk) |
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| 1066 | vslp (ji,jj,jk) = -1./e2v(ji,jj) * ( fsdept(ji,jj+1,jk) - fsdept(ji ,jj ,jk) ) * vmask(ji,jj,jk) |
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| 1067 | wslpi(ji,jj,jk) = -1./e1t(ji,jj) * ( fsdepw(ji+1,jj,jk) - fsdepw(ji-1,jj,jk) ) * tmask(ji,jj,jk) * 0.5 |
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| 1068 | wslpj(ji,jj,jk) = -1./e2t(ji,jj) * ( fsdepw(ji,jj+1,jk) - fsdepw(ji,jj-1,jk) ) * tmask(ji,jj,jk) * 0.5 |
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[3] | 1069 | END DO |
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| 1070 | END DO |
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| 1071 | END DO |
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| 1072 | ! Lateral boundary conditions on the slopes |
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[461] | 1073 | CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) |
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| 1074 | CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) |
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[3] | 1075 | ENDIF |
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[1515] | 1076 | ! |
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[3] | 1077 | END SUBROUTINE ldf_slp_init |
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| 1078 | |
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| 1079 | #else |
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| 1080 | !!------------------------------------------------------------------------ |
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| 1081 | !! Dummy module : NO Rotation of lateral mixing tensor |
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| 1082 | !!------------------------------------------------------------------------ |
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[32] | 1083 | LOGICAL, PUBLIC, PARAMETER :: lk_ldfslp = .FALSE. !: slopes flag |
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[3] | 1084 | CONTAINS |
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| 1085 | SUBROUTINE ldf_slp( kt, prd, pn2 ) ! Dummy routine |
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| 1086 | INTEGER, INTENT(in) :: kt |
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[1515] | 1087 | REAL, DIMENSION(:,:,:), INTENT(in) :: prd, pn2 |
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[32] | 1088 | WRITE(*,*) 'ldf_slp: You should not have seen this print! error?', kt, prd(1,1,1), pn2(1,1,1) |
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[3] | 1089 | END SUBROUTINE ldf_slp |
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[2104] | 1090 | SUBROUTINE ldf_slp_init ! Dummy routine |
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| 1091 | END SUBROUTINE ldf_slp_init |
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[3] | 1092 | #endif |
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| 1093 | |
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| 1094 | !!====================================================================== |
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| 1095 | END MODULE ldfslp |
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