[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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[2528] | 9 | !! NEMO 1.0 ! 2002-10 (G. Madec) Free form, F90 |
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| 10 | !! - ! 2005-10 (A. Beckmann) correction for s-coordinates |
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| 11 | !! 3.3 ! 2010-10 (G. Nurser, C. Harris, G. Madec) add Griffies operator |
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| 12 | !! - ! 2010-11 (F. Dupond, G. Madec) bug correction in slopes just below the ML |
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[1515] | 13 | !!---------------------------------------------------------------------- |
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[3] | 14 | #if defined key_ldfslp || defined key_esopa |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! 'key_ldfslp' Rotation of lateral mixing tensor |
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| 17 | !!---------------------------------------------------------------------- |
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[2528] | 18 | !! ldf_slp_grif : calculates the triads of isoneutral slopes (Griffies operator) |
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| 19 | !! ldf_slp : calculates the slopes of neutral surface (Madec operator) |
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| 20 | !! ldf_slp_mxl : calculates the slopes at the base of the mixed layer (Madec operator) |
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[3] | 21 | !! ldf_slp_init : initialization of the slopes computation |
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| 22 | !!---------------------------------------------------------------------- |
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| 23 | USE oce ! ocean dynamics and tracers |
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| 24 | USE dom_oce ! ocean space and time domain |
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[2528] | 25 | USE ldftra_oce ! lateral diffusion: traceur |
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| 26 | USE ldfdyn_oce ! lateral diffusion: dynamics |
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[3] | 27 | USE phycst ! physical constants |
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| 28 | USE zdfmxl ! mixed layer depth |
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[2528] | 29 | USE eosbn2 ! equation of states |
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[3] | 30 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 31 | USE in_out_manager ! I/O manager |
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[258] | 32 | USE prtctl ! Print control |
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[3] | 33 | |
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| 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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[2528] | 37 | PUBLIC ldf_slp ! routine called by step.F90 |
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| 38 | PUBLIC ldf_slp_grif ! routine called by step.F90 |
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| 39 | PUBLIC ldf_slp_init ! routine called by opa.F90 |
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[3] | 40 | |
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[2528] | 41 | LOGICAL , PUBLIC, PARAMETER :: lk_ldfslp = .TRUE. !: slopes flag |
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| 42 | ! !! Madec operator |
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[2715] | 43 | ! Arrays allocated in ldf_slp_init() routine once we know whether we're using the Griffies or Madec operator |
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| 44 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: uslp, wslpi !: i_slope at U- and W-points |
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| 45 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: vslp, wslpj !: j-slope at V- and W-points |
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| 46 | ! !! Griffies operator |
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| 47 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: wslp2 !: wslp**2 from Griffies quarter cells |
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| 48 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:,:) :: triadi_g, triadj_g !: skew flux slopes relative to geopotentials |
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| 49 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:,:,:) :: triadi , triadj !: isoneutral slopes relative to model-coordinate |
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[3] | 50 | |
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[2528] | 51 | ! !! Madec operator |
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[2715] | 52 | ! Arrays allocated in ldf_slp_init() routine once we know whether we're using the Griffies or Madec operator |
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| 53 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: omlmask ! mask of the surface mixed layer at T-pt |
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| 54 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: uslpml, wslpiml ! i_slope at U- and W-points just below the mixed layer |
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| 55 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: vslpml, wslpjml ! j_slope at V- and W-points just below the mixed layer |
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[2528] | 56 | |
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| 57 | REAL(wp) :: repsln = 1.e-25_wp ! tiny value used as minium of di(rho), dj(rho) and dk(rho) |
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| 58 | |
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[2715] | 59 | ! Workspace arrays for ldf_slp_grif. These could be replaced by several 3D and 2D workspace |
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| 60 | ! arrays from the wrk_nemo module with a bit of code re-writing. The 4D workspace |
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| 61 | ! arrays can't be used here because of the zero-indexing of some of the ranks. ARPDBG. |
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| 62 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: zdzrho , zdyrho, zdxrho ! Horizontal and vertical density gradients |
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| 63 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:,:) :: zti_mlb, ztj_mlb ! for Griffies operator only |
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| 64 | |
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[3] | 65 | !! * Substitutions |
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| 66 | # include "domzgr_substitute.h90" |
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[2528] | 67 | # include "ldftra_substitute.h90" |
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| 68 | # include "ldfeiv_substitute.h90" |
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[3] | 69 | # include "vectopt_loop_substitute.h90" |
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| 70 | !!---------------------------------------------------------------------- |
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[2715] | 71 | !! NEMO/OPA 4.0 , NEMO Consortium (2011) |
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[1156] | 72 | !! $Id$ |
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[2528] | 73 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 74 | !!---------------------------------------------------------------------- |
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| 75 | CONTAINS |
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| 76 | |
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[2715] | 77 | INTEGER FUNCTION ldf_slp_alloc() |
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| 78 | !!---------------------------------------------------------------------- |
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| 79 | !! *** FUNCTION ldf_slp_alloc *** |
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| 80 | !!---------------------------------------------------------------------- |
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| 81 | ! |
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| 82 | ALLOCATE( zdxrho (jpi,jpj,jpk,0:1) , zti_mlb(jpi,jpj,0:1,0:1) , & |
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| 83 | & zdyrho (jpi,jpj,jpk,0:1) , ztj_mlb(jpi,jpj,0:1,0:1) , & |
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| 84 | & zdzrho (jpi,jpj,jpk,0:1) , STAT=ldf_slp_alloc ) |
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| 85 | ! |
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| 86 | IF( lk_mpp ) CALL mpp_sum ( ldf_slp_alloc ) |
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| 87 | IF( ldf_slp_alloc /= 0 ) CALL ctl_warn('ldf_slp_alloc : failed to allocate arrays.') |
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| 88 | ! |
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| 89 | END FUNCTION ldf_slp_alloc |
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| 90 | |
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| 91 | |
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[3] | 92 | SUBROUTINE ldf_slp( kt, prd, pn2 ) |
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| 93 | !!---------------------------------------------------------------------- |
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| 94 | !! *** ROUTINE ldf_slp *** |
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| 95 | !! |
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[1515] | 96 | !! ** Purpose : Compute the slopes of neutral surface (slope of isopycnal |
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[2528] | 97 | !! surfaces referenced locally) (ln_traldf_iso=T). |
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[1515] | 98 | !! |
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[3] | 99 | !! ** Method : The slope in the i-direction is computed at U- and |
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| 100 | !! W-points (uslp, wslpi) and the slope in the j-direction is |
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| 101 | !! computed at V- and W-points (vslp, wslpj). |
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| 102 | !! They are bounded by 1/100 over the whole ocean, and within the |
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| 103 | !! surface layer they are bounded by the distance to the surface |
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| 104 | !! ( slope<= depth/l where l is the length scale of horizontal |
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| 105 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
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| 106 | !! of 10cm/s) |
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| 107 | !! A horizontal shapiro filter is applied to the slopes |
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[461] | 108 | !! ln_sco=T, s-coordinate, add to the previously computed slopes |
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[3] | 109 | !! the slope of the model level surface. |
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| 110 | !! macro-tasked on horizontal slab (jk-loop) (2, jpk-1) |
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| 111 | !! [slopes already set to zero at level 1, and to zero or the ocean |
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[461] | 112 | !! bottom slope (ln_sco=T) at level jpk in inildf] |
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[3] | 113 | !! |
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| 114 | !! ** Action : - uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
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| 115 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
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[1515] | 116 | !!---------------------------------------------------------------------- |
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[2715] | 117 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 118 | USE oce , ONLY: zgru => ua , zww => va ! (ua,va) used as workspace |
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| 119 | USE oce , ONLY: zgrv => ta , zwz => sa ! (ta,sa) used as workspace |
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| 120 | USE wrk_nemo, ONLY: zdzr => wrk_3d_1 ! 3D workspace |
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[3] | 121 | !! |
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[2715] | 122 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 123 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: prd ! in situ density |
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| 124 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: pn2 ! Brunt-Vaisala frequency (locally ref.) |
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[1515] | 125 | !! |
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| 126 | INTEGER :: ji , jj , jk ! dummy loop indices |
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| 127 | INTEGER :: ii0, ii1, iku ! temporary integer |
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| 128 | INTEGER :: ij0, ij1, ikv ! temporary integer |
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[2528] | 129 | REAL(wp) :: zeps, zm1_g, zm1_2g, z1_16 ! local scalars |
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| 130 | REAL(wp) :: zci, zfi, zau, zbu, zai, zbi ! - - |
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| 131 | REAL(wp) :: zcj, zfj, zav, zbv, zaj, zbj ! - - |
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| 132 | REAL(wp) :: zck, zfk, zbw ! - - |
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[3] | 133 | !!---------------------------------------------------------------------- |
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[2715] | 134 | |
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| 135 | IF( wrk_in_use(3, 1) ) THEN |
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| 136 | CALL ctl_stop('ldf_slp: requested workspace arrays are unavailable') ; RETURN |
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| 137 | ENDIF |
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| 138 | |
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[2528] | 139 | zeps = 1.e-20_wp !== Local constant initialization ==! |
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| 140 | z1_16 = 1.0_wp / 16._wp |
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| 141 | zm1_g = -1.0_wp / grav |
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| 142 | zm1_2g = -0.5_wp / grav |
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[1515] | 143 | ! |
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[2528] | 144 | zww(:,:,:) = 0._wp |
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| 145 | zwz(:,:,:) = 0._wp |
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| 146 | ! |
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| 147 | DO jk = 1, jpk !== i- & j-gradient of density ==! |
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[3] | 148 | DO jj = 1, jpjm1 |
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| 149 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 150 | zgru(ji,jj,jk) = umask(ji,jj,jk) * ( prd(ji+1,jj ,jk) - prd(ji,jj,jk) ) |
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| 151 | zgrv(ji,jj,jk) = vmask(ji,jj,jk) * ( prd(ji ,jj+1,jk) - prd(ji,jj,jk) ) |
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| 152 | END DO |
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| 153 | END DO |
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| 154 | END DO |
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[1515] | 155 | IF( ln_zps ) THEN ! partial steps correction at the bottom ocean level |
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[789] | 156 | # if defined key_vectopt_loop |
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[1515] | 157 | DO jj = 1, 1 |
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| 158 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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[3] | 159 | # else |
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[461] | 160 | DO jj = 1, jpjm1 |
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| 161 | DO ji = 1, jpim1 |
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[3] | 162 | # endif |
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[2528] | 163 | zgru(ji,jj,mbku(ji,jj)) = gru(ji,jj) |
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| 164 | zgrv(ji,jj,mbkv(ji,jj)) = grv(ji,jj) |
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[461] | 165 | END DO |
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[3] | 166 | END DO |
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[461] | 167 | ENDIF |
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[2528] | 168 | ! |
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| 169 | zdzr(:,:,1) = 0._wp !== Local vertical density gradient at T-point == ! (evaluated from N^2) |
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| 170 | DO jk = 2, jpkm1 |
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| 171 | ! ! zdzr = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point |
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| 172 | ! ! trick: tmask(ik ) = 0 => all pn2 = 0 => zdzr = 0 |
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| 173 | ! ! else tmask(ik+1) = 0 => pn2(ik+1) = 0 => zdzr divides by 1 |
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| 174 | ! ! umask(ik+1) /= 0 => all pn2 /= 0 => zdzr divides by 2 |
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| 175 | ! ! NB: 1/(tmask+1) = (1-.5*tmask) substitute a / by a * ==> faster |
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| 176 | zdzr(:,:,jk) = zm1_g * ( prd(:,:,jk) + 1._wp ) & |
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| 177 | & * ( pn2(:,:,jk) + pn2(:,:,jk+1) ) * ( 1._wp - 0.5_wp * tmask(:,:,jk+1) ) |
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[2389] | 178 | END DO |
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[2528] | 179 | ! |
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| 180 | ! !== Slopes just below the mixed layer ==! |
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| 181 | CALL ldf_slp_mxl( prd, pn2, zgru, zgrv, zdzr ) ! output: uslpml, vslpml, wslpiml, wslpjml |
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[2389] | 182 | |
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[3] | 183 | |
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[1515] | 184 | ! I. slopes at u and v point | uslp = d/di( prd ) / d/dz( prd ) |
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| 185 | ! =========================== | vslp = d/dj( prd ) / d/dz( prd ) |
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| 186 | ! |
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| 187 | DO jk = 2, jpkm1 !* Slopes at u and v points |
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[3] | 188 | DO jj = 2, jpjm1 |
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| 189 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 190 | ! ! horizontal and vertical density gradient at u- and v-points |
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| 191 | zau = zgru(ji,jj,jk) / e1u(ji,jj) |
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| 192 | zav = zgrv(ji,jj,jk) / e2v(ji,jj) |
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| 193 | zbu = 0.5_wp * ( zdzr(ji,jj,jk) + zdzr(ji+1,jj ,jk) ) |
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| 194 | zbv = 0.5_wp * ( zdzr(ji,jj,jk) + zdzr(ji ,jj+1,jk) ) |
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| 195 | ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
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| 196 | ! ! + kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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| 197 | zbu = MIN( zbu, -100._wp* ABS( zau ) , -7.e+3_wp/fse3u(ji,jj,jk)* ABS( zau ) ) |
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| 198 | zbv = MIN( zbv, -100._wp* ABS( zav ) , -7.e+3_wp/fse3v(ji,jj,jk)* ABS( zav ) ) |
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| 199 | ! ! uslp and vslp output in zwz and zww, resp. |
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| 200 | zfi = MAX( omlmask(ji,jj,jk), omlmask(ji+1,jj,jk) ) |
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| 201 | zfj = MAX( omlmask(ji,jj,jk), omlmask(ji,jj+1,jk) ) |
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| 202 | zwz(ji,jj,jk) = ( ( 1. - zfi) * zau / ( zbu - zeps ) & |
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| 203 | & + zfi * uslpml(ji,jj) & |
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| 204 | & * 0.5_wp * ( fsdept(ji+1,jj,jk)+fsdept(ji,jj,jk)-fse3u(ji,jj,1) ) & |
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| 205 | & / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 5._wp ) ) * umask(ji,jj,jk) |
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| 206 | zww(ji,jj,jk) = ( ( 1. - zfj) * zav / ( zbv - zeps ) & |
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| 207 | & + zfj * vslpml(ji,jj) & |
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| 208 | & * 0.5_wp * ( fsdept(ji,jj+1,jk)+fsdept(ji,jj,jk)-fse3v(ji,jj,1) ) & |
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| 209 | & / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 5. ) ) * vmask(ji,jj,jk) |
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| 210 | !!gm modif to suppress omlmask.... (as in Griffies case) |
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| 211 | ! ! ! jk must be >= ML level for zf=1. otherwise zf=0. |
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| 212 | ! zfi = REAL( 1 - 1/(1 + jk / MAX( nmln(ji+1,jj), nmln(ji,jj) ) ), wp ) |
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| 213 | ! zfj = REAL( 1 - 1/(1 + jk / MAX( nmln(ji,jj+1), nmln(ji,jj) ) ), wp ) |
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| 214 | ! zci = 0.5 * ( fsdept(ji+1,jj,jk)+fsdept(ji,jj,jk) ) / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 10. ) ) |
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| 215 | ! zcj = 0.5 * ( fsdept(ji,jj+1,jk)+fsdept(ji,jj,jk) ) / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 10. ) ) |
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| 216 | ! zwz(ji,jj,jk) = ( zfi * zai / ( zbi - zeps ) + ( 1._wp - zfi ) * wslpiml(ji,jj) * zci ) * tmask(ji,jj,jk) |
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| 217 | ! zww(ji,jj,jk) = ( zfj * zaj / ( zbj - zeps ) + ( 1._wp - zfj ) * wslpjml(ji,jj) * zcj ) * tmask(ji,jj,jk) |
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| 218 | !!gm end modif |
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[3] | 219 | END DO |
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| 220 | END DO |
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[1515] | 221 | END DO |
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| 222 | CALL lbc_lnk( zwz, 'U', -1. ) ; CALL lbc_lnk( zww, 'V', -1. ) ! lateral boundary conditions |
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| 223 | ! |
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[2528] | 224 | ! !* horizontal Shapiro filter |
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[1515] | 225 | DO jk = 2, jpkm1 |
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[2528] | 226 | DO jj = 2, jpjm1, MAX(1, jpj-3) ! rows jj=2 and =jpjm1 only |
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[3] | 227 | DO ji = 2, jpim1 |
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[2528] | 228 | uslp(ji,jj,jk) = z1_16 * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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[1515] | 229 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 230 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 231 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 232 | & + 4.* zwz(ji ,jj ,jk) ) |
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[2528] | 233 | vslp(ji,jj,jk) = z1_16 * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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[1515] | 234 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 235 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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| 236 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 237 | & + 4.* zww(ji,jj ,jk) ) |
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[3] | 238 | END DO |
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| 239 | END DO |
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[1515] | 240 | DO jj = 3, jpj-2 ! other rows |
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[3] | 241 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 242 | uslp(ji,jj,jk) = z1_16 * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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[3] | 243 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 244 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 245 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 246 | & + 4.* zwz(ji ,jj ,jk) ) |
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[2528] | 247 | vslp(ji,jj,jk) = z1_16 * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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[3] | 248 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 249 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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| 250 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 251 | & + 4.* zww(ji,jj ,jk) ) |
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| 252 | END DO |
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| 253 | END DO |
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[1515] | 254 | ! !* decrease along coastal boundaries |
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[3] | 255 | DO jj = 2, jpjm1 |
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| 256 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 257 | uslp(ji,jj,jk) = uslp(ji,jj,jk) * ( umask(ji,jj+1,jk) + umask(ji,jj-1,jk ) ) * 0.5_wp & |
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| 258 | & * ( umask(ji,jj ,jk) + umask(ji,jj ,jk+1) ) * 0.5_wp |
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| 259 | vslp(ji,jj,jk) = vslp(ji,jj,jk) * ( vmask(ji+1,jj,jk) + vmask(ji-1,jj,jk ) ) * 0.5_wp & |
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| 260 | & * ( vmask(ji ,jj,jk) + vmask(ji ,jj,jk+1) ) * 0.5_wp |
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[3] | 261 | END DO |
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| 262 | END DO |
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[1515] | 263 | END DO |
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[3] | 264 | |
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| 265 | |
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[1515] | 266 | ! II. slopes at w point | wslpi = mij( d/di( prd ) / d/dz( prd ) |
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| 267 | ! =========================== | wslpj = mij( d/dj( prd ) / d/dz( prd ) |
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| 268 | ! |
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[2528] | 269 | DO jk = 2, jpkm1 |
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[3] | 270 | DO jj = 2, jpjm1 |
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| 271 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[2528] | 272 | ! !* Local vertical density gradient evaluated from N^2 |
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| 273 | zbw = zm1_2g * pn2 (ji,jj,jk) * ( prd (ji,jj,jk) + prd (ji,jj,jk-1) + 2. ) |
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| 274 | ! !* Slopes at w point |
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| 275 | ! ! i- & j-gradient of density at w-points |
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| 276 | zci = MAX( umask(ji-1,jj,jk ) + umask(ji,jj,jk ) & |
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| 277 | & + umask(ji-1,jj,jk-1) + umask(ji,jj,jk-1) , zeps ) * e1t(ji,jj) |
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| 278 | zcj = MAX( vmask(ji,jj-1,jk ) + vmask(ji,jj,jk-1) & |
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| 279 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj,jk ) , zeps ) * e2t(ji,jj) |
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| 280 | zai = ( zgru (ji-1,jj,jk ) + zgru (ji,jj,jk-1) & |
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| 281 | & + zgru (ji-1,jj,jk-1) + zgru (ji,jj,jk ) ) / zci * tmask (ji,jj,jk) |
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| 282 | zaj = ( zgrv (ji,jj-1,jk ) + zgrv (ji,jj,jk-1) & |
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| 283 | & + zgrv (ji,jj-1,jk-1) + zgrv (ji,jj,jk ) ) / zcj * tmask (ji,jj,jk) |
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[1515] | 284 | ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
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[2528] | 285 | ! ! + kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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| 286 | zbi = MIN( zbw ,- 100._wp* ABS( zai ) , -7.e+3_wp/fse3w(ji,jj,jk)* ABS( zai ) ) |
---|
| 287 | zbj = MIN( zbw , -100._wp* ABS( zaj ) , -7.e+3_wp/fse3w(ji,jj,jk)* ABS( zaj ) ) |
---|
| 288 | ! ! wslpi and wslpj with ML flattening (output in zwz and zww, resp.) |
---|
| 289 | zfk = MAX( omlmask(ji,jj,jk), omlmask(ji,jj,jk-1) ) ! zfk=1 in the ML otherwise zfk=0 |
---|
| 290 | zck = fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj), 10._wp ) |
---|
| 291 | zwz(ji,jj,jk) = ( zai / ( zbi - zeps ) * ( 1._wp - zfk ) + zck * wslpiml(ji,jj) * zfk ) * tmask(ji,jj,jk) |
---|
| 292 | zww(ji,jj,jk) = ( zaj / ( zbj - zeps ) * ( 1._wp - zfk ) + zck * wslpjml(ji,jj) * zfk ) * tmask(ji,jj,jk) |
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| 293 | |
---|
| 294 | !!gm modif to suppress omlmask.... (as in Griffies operator) |
---|
| 295 | ! ! ! jk must be >= ML level for zfk=1. otherwise zfk=0. |
---|
| 296 | ! zfk = REAL( 1 - 1/(1 + jk / nmln(ji+1,jj)), wp ) |
---|
| 297 | ! zck = fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj), 10. ) |
---|
| 298 | ! zwz(ji,jj,jk) = ( zfk * zai / ( zbi - zeps ) + ( 1._wp - zfk ) * wslpiml(ji,jj) * zck ) * tmask(ji,jj,jk) |
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| 299 | ! zww(ji,jj,jk) = ( zfk * zaj / ( zbj - zeps ) + ( 1._wp - zfk ) * wslpjml(ji,jj) * zck ) * tmask(ji,jj,jk) |
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| 300 | !!gm end modif |
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[3] | 301 | END DO |
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| 302 | END DO |
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[1515] | 303 | END DO |
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[2528] | 304 | CALL lbc_lnk( zwz, 'T', -1. ) ; CALL lbc_lnk( zww, 'T', -1. ) ! lateral boundary conditions |
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[1515] | 305 | ! |
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| 306 | ! !* horizontal Shapiro filter |
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| 307 | DO jk = 2, jpkm1 |
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[2528] | 308 | DO jj = 2, jpjm1, MAX(1, jpj-3) ! rows jj=2 and =jpjm1 only |
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[3] | 309 | DO ji = 2, jpim1 |
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| 310 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
---|
| 311 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
---|
| 312 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 313 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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[2528] | 314 | & + 4.* zwz(ji ,jj ,jk) ) * z1_16 * tmask(ji,jj,jk) |
---|
[3] | 315 | |
---|
| 316 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
---|
| 317 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 318 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
---|
| 319 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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[2528] | 320 | & + 4.* zww(ji ,jj ,jk) ) * z1_16 * tmask(ji,jj,jk) |
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[3] | 321 | END DO |
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[1515] | 322 | END DO |
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| 323 | DO jj = 3, jpj-2 ! other rows |
---|
[3] | 324 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 325 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
---|
| 326 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 327 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
---|
| 328 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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[2528] | 329 | & + 4.* zwz(ji ,jj ,jk) ) * z1_16 * tmask(ji,jj,jk) |
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[3] | 330 | |
---|
| 331 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
---|
| 332 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
---|
| 333 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
---|
| 334 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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[2528] | 335 | & + 4.* zww(ji ,jj ,jk) ) * z1_16 * tmask(ji,jj,jk) |
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[3] | 336 | END DO |
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| 337 | END DO |
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[1515] | 338 | ! !* decrease along coastal boundaries |
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[3] | 339 | DO jj = 2, jpjm1 |
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| 340 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2528] | 341 | zck = ( umask(ji,jj,jk) + umask(ji-1,jj,jk) ) & |
---|
| 342 | & * ( vmask(ji,jj,jk) + vmask(ji,jj-1,jk) ) * 0.25 |
---|
| 343 | wslpi(ji,jj,jk) = wslpi(ji,jj,jk) * zck |
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| 344 | wslpj(ji,jj,jk) = wslpj(ji,jj,jk) * zck |
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[3] | 345 | END DO |
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| 346 | END DO |
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[1515] | 347 | END DO |
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[3] | 348 | |
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[1515] | 349 | ! III. Specific grid points |
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| 350 | ! =========================== |
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| 351 | ! |
---|
| 352 | IF( cp_cfg == "orca" .AND. jp_cfg == 4 ) THEN ! ORCA_R4 configuration: horizontal diffusion in specific area |
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| 353 | ! ! Gibraltar Strait |
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| 354 | ij0 = 50 ; ij1 = 53 |
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[2528] | 355 | ii0 = 69 ; ii1 = 71 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp |
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[1515] | 356 | ij0 = 51 ; ij1 = 53 |
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[2528] | 357 | ii0 = 68 ; ii1 = 71 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp |
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| 358 | ii0 = 69 ; ii1 = 71 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp |
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| 359 | ii0 = 69 ; ii1 = 71 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp |
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[1515] | 360 | ! |
---|
| 361 | ! ! Mediterrannean Sea |
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| 362 | ij0 = 49 ; ij1 = 56 |
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[2528] | 363 | ii0 = 71 ; ii1 = 90 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp |
---|
[1515] | 364 | ij0 = 50 ; ij1 = 56 |
---|
[2528] | 365 | ii0 = 70 ; ii1 = 90 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp |
---|
| 366 | ii0 = 71 ; ii1 = 90 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp |
---|
| 367 | ii0 = 71 ; ii1 = 90 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0._wp |
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[1515] | 368 | ENDIF |
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[3] | 369 | |
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[1515] | 370 | ! IV. Lateral boundary conditions |
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| 371 | ! =============================== |
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[461] | 372 | CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) |
---|
| 373 | CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) |
---|
[3] | 374 | |
---|
[1515] | 375 | |
---|
[258] | 376 | IF(ln_ctl) THEN |
---|
| 377 | CALL prt_ctl(tab3d_1=uslp , clinfo1=' slp - u : ', tab3d_2=vslp, clinfo2=' v : ', kdim=jpk) |
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| 378 | CALL prt_ctl(tab3d_1=wslpi, clinfo1=' slp - wi: ', tab3d_2=wslpj, clinfo2=' wj: ', kdim=jpk) |
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[49] | 379 | ENDIF |
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[1515] | 380 | ! |
---|
[2715] | 381 | IF( wrk_not_released(3, 1) ) CALL ctl_stop('ldf_slp: failed to release workspace arrays') |
---|
| 382 | ! |
---|
[3] | 383 | END SUBROUTINE ldf_slp |
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[2528] | 384 | |
---|
[3] | 385 | |
---|
[2528] | 386 | SUBROUTINE ldf_slp_grif ( kt ) |
---|
| 387 | !!---------------------------------------------------------------------- |
---|
| 388 | !! *** ROUTINE ldf_slp_grif *** |
---|
| 389 | !! |
---|
| 390 | !! ** Purpose : Compute the squared slopes of neutral surfaces (slope |
---|
| 391 | !! of iso-pycnal surfaces referenced locally) (ln_traldf_grif=T) |
---|
| 392 | !! at W-points using the Griffies quarter-cells. |
---|
| 393 | !! |
---|
| 394 | !! ** Method : calculates alpha and beta at T-points |
---|
| 395 | !! |
---|
| 396 | !! ** Action : - triadi_g, triadj_g T-pts i- and j-slope triads relative to geopot. (used for eiv) |
---|
| 397 | !! - triadi , triadj T-pts i- and j-slope triads relative to model-coordinate |
---|
| 398 | !! - wslp2 squared slope of neutral surfaces at w-points. |
---|
| 399 | !!---------------------------------------------------------------------- |
---|
[2715] | 400 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
---|
| 401 | USE oce , ONLY: zdit => ua , zdis => va ! (ua,va) used as workspace |
---|
| 402 | USE oce , ONLY: zdjt => ta , zdjs => sa ! (ta,sa) used as workspace |
---|
| 403 | USE wrk_nemo, ONLY: zdkt => wrk_3d_2 , zdks => wrk_3d_3 ! 3D workspace |
---|
| 404 | USE wrk_nemo, ONLY: zalpha => wrk_3d_4 , zbeta => wrk_3d_5 ! alpha, beta at T points, at depth fsgdept |
---|
| 405 | USE wrk_nemo, ONLY: z1_mlbw => wrk_2d_1 |
---|
| 406 | ! |
---|
| 407 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
| 408 | ! |
---|
[2528] | 409 | INTEGER :: ji, jj, jk, jl, ip, jp, kp ! dummy loop indices |
---|
[2715] | 410 | INTEGER :: iku, ikv ! local integer |
---|
[2528] | 411 | REAL(wp) :: zfacti, zfactj, zatempw,zatempu,zatempv ! local scalars |
---|
[2715] | 412 | REAL(wp) :: zbu, zbv, zbti, zbtj ! - - |
---|
[2528] | 413 | REAL(wp) :: zdxrho_raw, zti_coord, zti_raw, zti_lim, zti_lim2, zti_g_raw, zti_g_lim |
---|
| 414 | REAL(wp) :: zdyrho_raw, ztj_coord, ztj_raw, ztj_lim, ztj_lim2, ztj_g_raw, ztj_g_lim |
---|
| 415 | REAL(wp) :: zdzrho_raw |
---|
| 416 | !!---------------------------------------------------------------------- |
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[3] | 417 | |
---|
[2715] | 418 | IF( wrk_in_use(3, 2,3,4,5) .OR. wrk_in_use(2, 1) )THEN |
---|
| 419 | CALL ctl_stop('ldf_slp_grif: requested workspace arrays are unavailable') ; RETURN |
---|
| 420 | ENDIF |
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| 421 | |
---|
[2528] | 422 | !--------------------------------! |
---|
| 423 | ! Some preliminary calculation ! |
---|
| 424 | !--------------------------------! |
---|
| 425 | ! |
---|
| 426 | CALL eos_alpbet( tsb, zalpha, zbeta ) !== before thermal and haline expension coeff. at T-points ==! |
---|
| 427 | ! |
---|
| 428 | DO jk = 1, jpkm1 !== before lateral T & S gradients at T-level jk ==! |
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| 429 | DO jj = 1, jpjm1 |
---|
| 430 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 431 | zdit(ji,jj,jk) = ( tb(ji+1,jj,jk) - tb(ji,jj,jk) ) * umask(ji,jj,jk) ! i-gradient of T and S at jj |
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| 432 | zdis(ji,jj,jk) = ( sb(ji+1,jj,jk) - sb(ji,jj,jk) ) * umask(ji,jj,jk) |
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| 433 | zdjt(ji,jj,jk) = ( tb(ji,jj+1,jk) - tb(ji,jj,jk) ) * vmask(ji,jj,jk) ! j-gradient of T and S at jj |
---|
| 434 | zdjs(ji,jj,jk) = ( sb(ji,jj+1,jk) - sb(ji,jj,jk) ) * vmask(ji,jj,jk) |
---|
| 435 | END DO |
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| 436 | END DO |
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| 437 | END DO |
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| 438 | IF( ln_zps ) THEN ! partial steps: correction at the last level |
---|
| 439 | # if defined key_vectopt_loop |
---|
| 440 | DO jj = 1, 1 |
---|
| 441 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
---|
| 442 | # else |
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| 443 | DO jj = 1, jpjm1 |
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| 444 | DO ji = 1, jpim1 |
---|
| 445 | # endif |
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| 446 | zdit(ji,jj,mbku(ji,jj)) = gtsu(ji,jj,jp_tem) ! i-gradient of T and S |
---|
| 447 | zdis(ji,jj,mbku(ji,jj)) = gtsu(ji,jj,jp_sal) |
---|
| 448 | zdjt(ji,jj,mbkv(ji,jj)) = gtsv(ji,jj,jp_tem) ! j-gradient of T and S |
---|
| 449 | zdjs(ji,jj,mbkv(ji,jj)) = gtsv(ji,jj,jp_sal) |
---|
| 450 | END DO |
---|
| 451 | END DO |
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| 452 | ENDIF |
---|
| 453 | ! |
---|
| 454 | zdkt(:,:,1) = 0._wp !== before vertical T & S gradient at w-level ==! |
---|
| 455 | zdks(:,:,1) = 0._wp |
---|
| 456 | DO jk = 2, jpk |
---|
| 457 | zdkt(:,:,jk) = ( tb(:,:,jk-1) - tb(:,:,jk) ) * tmask(:,:,jk) |
---|
| 458 | zdks(:,:,jk) = ( sb(:,:,jk-1) - sb(:,:,jk) ) * tmask(:,:,jk) |
---|
| 459 | END DO |
---|
| 460 | ! |
---|
| 461 | ! |
---|
| 462 | DO jl = 0, 1 !== density i-, j-, and k-gradients ==! |
---|
| 463 | ip = jl ; jp = jl ! guaranteed nonzero gradients ( absolute value larger than repsln) |
---|
| 464 | DO jk = 1, jpkm1 ! done each pair of triad |
---|
| 465 | DO jj = 1, jpjm1 ! NB: not masked due to the minimum value set |
---|
| 466 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 467 | zdxrho_raw = ( zalpha(ji+ip,jj ,jk) * zdit(ji,jj,jk) + zbeta(ji+ip,jj ,jk) * zdis(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 468 | zdyrho_raw = ( zalpha(ji ,jj+jp,jk) * zdjt(ji,jj,jk) + zbeta(ji ,jj+jp,jk) * zdjs(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 469 | zdxrho(ji+ip,jj ,jk,1-ip) = SIGN( MAX( repsln, ABS( zdxrho_raw ) ), zdxrho_raw ) ! keep the sign |
---|
| 470 | zdyrho(ji ,jj+jp,jk,1-jp) = SIGN( MAX( repsln, ABS( zdyrho_raw ) ), zdyrho_raw ) |
---|
| 471 | END DO |
---|
| 472 | END DO |
---|
| 473 | END DO |
---|
| 474 | END DO |
---|
| 475 | DO kp = 0, 1 !== density i-, j-, and k-gradients ==! |
---|
| 476 | DO jk = 1, jpkm1 ! done each pair of triad |
---|
| 477 | DO jj = 1, jpj ! NB: not masked due to the minimum value set |
---|
| 478 | DO ji = 1, jpi ! vector opt. |
---|
| 479 | zdzrho_raw = ( zalpha(ji,jj,jk) * zdkt(ji,jj,jk+kp) + zbeta(ji,jj,jk) * zdks(ji,jj,jk+kp) ) & |
---|
| 480 | & / fse3w(ji,jj,jk+kp) |
---|
| 481 | zdzrho(ji ,jj ,jk, kp) = - MIN( - repsln, zdzrho_raw ) ! force zdzrho >= repsln |
---|
| 482 | END DO |
---|
| 483 | END DO |
---|
| 484 | END DO |
---|
| 485 | END DO |
---|
| 486 | ! |
---|
| 487 | DO jj = 1, jpj !== Reciprocal depth of the w-point below ML base ==! |
---|
| 488 | DO ji = 1, jpi |
---|
| 489 | jk = MIN( nmln(ji,jj), mbkt(ji,jj) ) + 1 ! MIN in case ML depth is the ocean depth |
---|
| 490 | z1_mlbw(ji,jj) = 1._wp / fsdepw(ji,jj,jk) |
---|
| 491 | END DO |
---|
| 492 | END DO |
---|
| 493 | ! |
---|
| 494 | ! !== intialisations to zero ==! |
---|
| 495 | ! |
---|
| 496 | wslp2 (:,:,:) = 0._wp ! wslp2 will be cumulated 3D field set to zero |
---|
| 497 | triadi_g(:,:,1,:,:) = 0._wp ; triadi_g(:,:,jpk,:,:) = 0._wp ! set surface and bottom slope to zero |
---|
| 498 | triadj_g(:,:,1,:,:) = 0._wp ; triadj_g(:,:,jpk,:,:) = 0._wp |
---|
| 499 | !!gm _iso set to zero missing |
---|
| 500 | triadi (:,:,1,:,:) = 0._wp ; triadj (:,:,jpk,:,:) = 0._wp ! set surface and bottom slope to zero |
---|
| 501 | triadj (:,:,1,:,:) = 0._wp ; triadj (:,:,jpk,:,:) = 0._wp |
---|
| 502 | |
---|
| 503 | !-------------------------------------! |
---|
| 504 | ! Triads just below the Mixed Layer ! |
---|
| 505 | !-------------------------------------! |
---|
| 506 | ! |
---|
| 507 | DO jl = 0, 1 ! calculate slope of the 4 triads immediately ONE level below mixed-layer base |
---|
| 508 | DO kp = 0, 1 ! with only the slope-max limit and MASKED |
---|
| 509 | DO jj = 1, jpjm1 |
---|
| 510 | DO ji = 1, fs_jpim1 |
---|
| 511 | ip = jl ; jp = jl |
---|
| 512 | jk = MIN( nmln(ji+ip,jj) , mbkt(ji+ip,jj) ) + 1 ! ML level+1 (MIN in case ML depth is the ocean depth) |
---|
| 513 | zti_g_raw = ( zdxrho(ji+ip,jj,jk-kp,1-ip) / zdzrho(ji+ip,jj,jk-kp,kp) & |
---|
| 514 | & + ( fsdept(ji+1,jj,jk-kp) - fsdept(ji,jj,jk-kp) ) / e1u(ji,jj) ) * umask(ji,jj,jk) |
---|
| 515 | jk = MIN( nmln(ji,jj+jp) , mbkt(ji,jj+jp) ) + 1 |
---|
| 516 | ztj_g_raw = ( zdyrho(ji,jj+jp,jk-kp,1-jp) / zdzrho(ji,jj+jp,jk-kp,kp) & |
---|
| 517 | & + ( fsdept(ji,jj+1,jk-kp) - fsdept(ji,jj,jk-kp) ) / e2v(ji,jj) ) * vmask(ji,jj,jk) |
---|
| 518 | zti_mlb(ji+ip,jj ,1-ip,kp) = SIGN( MIN( rn_slpmax, ABS( zti_g_raw ) ), zti_g_raw ) |
---|
| 519 | ztj_mlb(ji ,jj+jp,1-jp,kp) = SIGN( MIN( rn_slpmax, ABS( ztj_g_raw ) ), ztj_g_raw ) |
---|
| 520 | END DO |
---|
| 521 | END DO |
---|
| 522 | END DO |
---|
| 523 | END DO |
---|
| 524 | |
---|
| 525 | !-------------------------------------! |
---|
| 526 | ! Triads with surface limits ! |
---|
| 527 | !-------------------------------------! |
---|
| 528 | ! |
---|
| 529 | DO kp = 0, 1 ! k-index of triads |
---|
| 530 | DO jl = 0, 1 |
---|
| 531 | ip = jl ; jp = jl ! i- and j-indices of triads (i-k and j-k planes) |
---|
| 532 | DO jk = 1, jpkm1 |
---|
| 533 | DO jj = 1, jpjm1 |
---|
| 534 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 535 | ! |
---|
| 536 | ! Calculate slope relative to geopotentials used for GM skew fluxes |
---|
| 537 | ! For s-coordinate, subtract slope at t-points (equivalent to *adding* gradient of depth) |
---|
| 538 | ! Limit by slope *relative to geopotentials* by rn_slpmax, and mask by psi-point |
---|
| 539 | ! masked by umask taken at the level of dz(rho) |
---|
| 540 | ! |
---|
| 541 | ! raw slopes: unmasked unbounded slopes (relative to geopotential (zti_g) and model surface (zti) |
---|
| 542 | ! |
---|
| 543 | zti_raw = zdxrho(ji+ip,jj ,jk,1-ip) / zdzrho(ji+ip,jj ,jk,kp) ! unmasked |
---|
| 544 | ztj_raw = zdyrho(ji ,jj+jp,jk,1-jp) / zdzrho(ji ,jj+jp,jk,kp) |
---|
| 545 | zti_coord = ( fsdept(ji+1,jj ,jk) - fsdept(ji,jj,jk) ) / e1u(ji,jj) |
---|
| 546 | ztj_coord = ( fsdept(ji ,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj) |
---|
| 547 | ! unmasked |
---|
| 548 | zti_g_raw = zti_raw + zti_coord ! ref to geopot surfaces |
---|
| 549 | ztj_g_raw = ztj_raw + ztj_coord |
---|
| 550 | zti_g_lim = SIGN( MIN( rn_slpmax, ABS( zti_g_raw ) ), zti_g_raw ) |
---|
| 551 | ztj_g_lim = SIGN( MIN( rn_slpmax, ABS( ztj_g_raw ) ), ztj_g_raw ) |
---|
| 552 | ! |
---|
| 553 | ! Below ML use limited zti_g as is |
---|
| 554 | ! Inside ML replace by linearly reducing sx_mlb towards surface |
---|
| 555 | ! |
---|
| 556 | zfacti = REAL( 1 - 1/(1 + (jk+kp-1)/nmln(ji+ip,jj)), wp ) ! k index of uppermost point(s) of triad is jk+kp-1 |
---|
| 557 | zfactj = REAL( 1 - 1/(1 + (jk+kp-1)/nmln(ji,jj+jp)), wp ) ! must be .ge. nmln(ji,jj) for zfact=1 |
---|
| 558 | ! ! otherwise zfact=0 |
---|
| 559 | zti_g_lim = zfacti * zti_g_lim & |
---|
| 560 | & + ( 1._wp - zfacti ) * zti_mlb(ji+ip,jj,1-ip,kp) & |
---|
| 561 | & * fsdepw(ji+ip,jj,jk+kp) * z1_mlbw(ji+ip,jj) |
---|
| 562 | ztj_g_lim = zfactj * ztj_g_lim & |
---|
| 563 | & + ( 1._wp - zfactj ) * ztj_mlb(ji,jj+jp,1-jp,kp) & |
---|
| 564 | & * fsdepw(ji,jj+jp,jk+kp) * z1_mlbw(ji,jj+jp) ! masked |
---|
| 565 | ! |
---|
| 566 | triadi_g(ji+ip,jj ,jk,1-ip,kp) = zti_g_lim * umask(ji,jj,jk+kp) |
---|
| 567 | triadj_g(ji ,jj+jp,jk,1-jp,kp) = ztj_g_lim * vmask(ji,jj,jk+kp) |
---|
| 568 | ! |
---|
| 569 | ! Get coefficients of isoneutral diffusion tensor |
---|
| 570 | ! 1. Utilise gradients *relative* to s-coordinate, so add t-point slopes (*subtract* depth gradients) |
---|
| 571 | ! 2. We require that isoneutral diffusion gives no vertical buoyancy flux |
---|
| 572 | ! i.e. 33 term = (real slope* 31, 13 terms) |
---|
| 573 | ! To do this, retain limited sx**2 in vertical flux, but divide by real slope for 13/31 terms |
---|
| 574 | ! Equivalent to tapering A_iso = sx_limited**2/(real slope)**2 |
---|
| 575 | ! |
---|
| 576 | zti_lim = zti_g_lim - zti_coord ! remove the coordinate slope ==> relative to coordinate surfaces |
---|
| 577 | ztj_lim = ztj_g_lim - ztj_coord |
---|
| 578 | zti_lim2 = zti_lim * zti_lim * umask(ji,jj,jk+kp) ! square of limited slopes ! masked <<== |
---|
| 579 | ztj_lim2 = ztj_lim * ztj_lim * vmask(ji,jj,jk+kp) |
---|
| 580 | ! |
---|
| 581 | zbu = e1u(ji ,jj) * e2u(ji ,jj) * fse3u(ji ,jj,jk ) |
---|
| 582 | zbv = e1v(ji ,jj) * e2v(ji ,jj) * fse3v(ji ,jj,jk ) |
---|
| 583 | zbti = e1t(ji+ip,jj) * e2t(ji+ip,jj) * fse3w(ji+ip,jj,jk+kp) |
---|
| 584 | zbtj = e1t(ji,jj+jp) * e2t(ji,jj+jp) * fse3w(ji,jj+jp,jk+kp) |
---|
| 585 | ! |
---|
| 586 | triadi(ji+ip,jj ,jk,1-ip,kp) = zti_lim2 / zti_raw ! masked |
---|
| 587 | triadj(ji ,jj+jp,jk,1-jp,kp) = ztj_lim2 / ztj_raw |
---|
| 588 | ! |
---|
| 589 | !!gm this may inhibit vectorization on Vect Computers, and even on scalar computers.... ==> to be checked |
---|
| 590 | wslp2 (ji+ip,jj,jk+kp) = wslp2(ji+ip,jj,jk+kp) + 0.25_wp * zbu / zbti * zti_lim2 ! masked |
---|
| 591 | wslp2 (ji,jj+jp,jk+kp) = wslp2(ji,jj+jp,jk+kp) + 0.25_wp * zbv / zbtj * ztj_lim2 |
---|
| 592 | END DO |
---|
| 593 | END DO |
---|
| 594 | END DO |
---|
| 595 | END DO |
---|
| 596 | END DO |
---|
| 597 | ! |
---|
| 598 | wslp2(:,:,1) = 0._wp ! force the surface wslp to zero |
---|
| 599 | |
---|
| 600 | CALL lbc_lnk( wslp2, 'W', 1. ) ! lateral boundary confition on wslp2 only ==>>> gm : necessary ? to be checked |
---|
| 601 | ! |
---|
[2715] | 602 | IF( wrk_not_released(3, 2,3,4,5) .OR. & |
---|
| 603 | wrk_not_released(2, 1) ) CALL ctl_stop('ldf_slp_grif: failed to release workspace arrays') |
---|
| 604 | ! |
---|
[2528] | 605 | END SUBROUTINE ldf_slp_grif |
---|
| 606 | |
---|
| 607 | |
---|
| 608 | SUBROUTINE ldf_slp_mxl( prd, pn2, p_gru, p_grv, p_dzr ) |
---|
[3] | 609 | !!---------------------------------------------------------------------- |
---|
| 610 | !! *** ROUTINE ldf_slp_mxl *** |
---|
| 611 | !! |
---|
[1515] | 612 | !! ** Purpose : Compute the slopes of iso-neutral surface just below |
---|
| 613 | !! the mixed layer. |
---|
| 614 | !! |
---|
[2528] | 615 | !! ** Method : The slope in the i-direction is computed at u- & w-points |
---|
| 616 | !! (uslpml, wslpiml) and the slope in the j-direction is computed |
---|
| 617 | !! at v- and w-points (vslpml, wslpjml) with the same bounds as |
---|
| 618 | !! in ldf_slp. |
---|
[3] | 619 | !! |
---|
[2389] | 620 | !! ** Action : uslpml, wslpiml : i- & j-slopes of neutral surfaces |
---|
| 621 | !! vslpml, wslpjml just below the mixed layer |
---|
| 622 | !! omlmask : mixed layer mask |
---|
[1515] | 623 | !!---------------------------------------------------------------------- |
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[2715] | 624 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: prd ! in situ density |
---|
| 625 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: pn2 ! Brunt-Vaisala frequency (locally ref.) |
---|
| 626 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: p_gru, p_grv ! i- & j-gradient of density (u- & v-pts) |
---|
| 627 | REAL(wp), DIMENSION(:,:,:), INTENT(in) :: p_dzr ! z-gradient of density (T-point) |
---|
[3] | 628 | !! |
---|
[2528] | 629 | INTEGER :: ji , jj , jk ! dummy loop indices |
---|
| 630 | INTEGER :: iku, ikv, ik, ikm1 ! local integers |
---|
| 631 | REAL(wp) :: zeps, zm1_g, zm1_2g ! local scalars |
---|
| 632 | REAL(wp) :: zci, zfi, zau, zbu, zai, zbi ! - - |
---|
| 633 | REAL(wp) :: zcj, zfj, zav, zbv, zaj, zbj ! - - |
---|
| 634 | REAL(wp) :: zck, zfk, zbw ! - - |
---|
[3] | 635 | !!---------------------------------------------------------------------- |
---|
| 636 | |
---|
[2528] | 637 | zeps = 1.e-20_wp !== Local constant initialization ==! |
---|
| 638 | zm1_g = -1.0_wp / grav |
---|
| 639 | zm1_2g = -0.5_wp / grav |
---|
[1515] | 640 | ! |
---|
[2528] | 641 | uslpml (1,:) = 0._wp ; uslpml (jpi,:) = 0._wp |
---|
| 642 | vslpml (1,:) = 0._wp ; vslpml (jpi,:) = 0._wp |
---|
| 643 | wslpiml(1,:) = 0._wp ; wslpiml(jpi,:) = 0._wp |
---|
| 644 | wslpjml(1,:) = 0._wp ; wslpjml(jpi,:) = 0._wp |
---|
| 645 | ! |
---|
| 646 | ! !== surface mixed layer mask ! |
---|
| 647 | DO jk = 1, jpk ! =1 inside the mixed layer, =0 otherwise |
---|
[789] | 648 | # if defined key_vectopt_loop |
---|
[1515] | 649 | DO jj = 1, 1 |
---|
| 650 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
---|
[3] | 651 | # else |
---|
| 652 | DO jj = 1, jpj |
---|
| 653 | DO ji = 1, jpi |
---|
| 654 | # endif |
---|
| 655 | ik = nmln(ji,jj) - 1 |
---|
[2528] | 656 | IF( jk <= ik ) THEN ; omlmask(ji,jj,jk) = 1._wp |
---|
| 657 | ELSE ; omlmask(ji,jj,jk) = 0._wp |
---|
[3] | 658 | ENDIF |
---|
| 659 | END DO |
---|
| 660 | END DO |
---|
| 661 | END DO |
---|
| 662 | |
---|
| 663 | |
---|
| 664 | ! Slopes of isopycnal surfaces just before bottom of mixed layer |
---|
| 665 | ! -------------------------------------------------------------- |
---|
[1515] | 666 | ! The slope are computed as in the 3D case. |
---|
| 667 | ! A key point here is the definition of the mixed layer at u- and v-points. |
---|
| 668 | ! It is assumed to be the maximum of the two neighbouring T-point mixed layer depth. |
---|
| 669 | ! Otherwise, a n2 value inside the mixed layer can be involved in the computation |
---|
| 670 | ! of the slope, resulting in a too steep diagnosed slope and thus a spurious eddy |
---|
| 671 | ! induce velocity field near the base of the mixed layer. |
---|
[3] | 672 | !----------------------------------------------------------------------- |
---|
[1515] | 673 | ! |
---|
[789] | 674 | # if defined key_vectopt_loop |
---|
[1515] | 675 | DO jj = 1, 1 |
---|
| 676 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
---|
[3] | 677 | # else |
---|
| 678 | DO jj = 2, jpjm1 |
---|
| 679 | DO ji = 2, jpim1 |
---|
| 680 | # endif |
---|
[2528] | 681 | ! !== Slope at u- & v-points just below the Mixed Layer ==! |
---|
| 682 | ! |
---|
| 683 | ! !- vertical density gradient for u- and v-slopes (from dzr at T-point) |
---|
| 684 | iku = MIN( MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) , jpkm1 ) ! ML (MAX of T-pts, bound by jpkm1) |
---|
| 685 | ikv = MIN( MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) , jpkm1 ) ! |
---|
| 686 | zbu = 0.5_wp * ( p_dzr(ji,jj,iku) + p_dzr(ji+1,jj ,iku) ) |
---|
| 687 | zbv = 0.5_wp * ( p_dzr(ji,jj,ikv) + p_dzr(ji ,jj+1,ikv) ) |
---|
| 688 | ! !- horizontal density gradient at u- & v-points |
---|
| 689 | zau = p_gru(ji,jj,iku) / e1u(ji,jj) |
---|
| 690 | zav = p_grv(ji,jj,ikv) / e2v(ji,jj) |
---|
| 691 | ! !- bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
---|
| 692 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
---|
[2772] | 693 | zbu = MIN( zbu , -100._wp* ABS( zau ) , -7.e+3_wp/fse3u(ji,jj,iku)* ABS( zau ) ) |
---|
| 694 | zbv = MIN( zbv , -100._wp* ABS( zav ) , -7.e+3_wp/fse3v(ji,jj,ikv)* ABS( zav ) ) |
---|
[2528] | 695 | ! !- Slope at u- & v-points (uslpml, vslpml) |
---|
[2772] | 696 | uslpml(ji,jj) = zau / ( zbu - zeps ) * umask(ji,jj,iku) |
---|
| 697 | vslpml(ji,jj) = zav / ( zbv - zeps ) * vmask(ji,jj,ikv) |
---|
[2528] | 698 | ! |
---|
| 699 | ! !== i- & j-slopes at w-points just below the Mixed Layer ==! |
---|
| 700 | ! |
---|
| 701 | ik = MIN( nmln(ji,jj) + 1, jpk ) |
---|
| 702 | ikm1 = MAX( 1, ik-1 ) |
---|
| 703 | ! !- vertical density gradient for w-slope (from N^2) |
---|
| 704 | zbw = zm1_2g * pn2 (ji,jj,ik) * ( prd (ji,jj,ik) + prd (ji,jj,ikm1) + 2. ) |
---|
| 705 | ! !- horizontal density i- & j-gradient at w-points |
---|
| 706 | zci = MAX( umask(ji-1,jj,ik ) + umask(ji,jj,ik ) & |
---|
| 707 | & + umask(ji-1,jj,ikm1) + umask(ji,jj,ikm1) , zeps ) * e1t(ji,jj) |
---|
| 708 | zcj = MAX( vmask(ji,jj-1,ik ) + vmask(ji,jj,ik ) & |
---|
| 709 | & + vmask(ji,jj-1,ikm1) + vmask(ji,jj,ikm1) , zeps ) * e2t(ji,jj) |
---|
| 710 | zai = ( p_gru(ji-1,jj,ik ) + p_gru(ji,jj,ik) & |
---|
| 711 | & + p_gru(ji-1,jj,ikm1) + p_gru(ji,jj,ikm1 ) ) / zci * tmask(ji,jj,ik) |
---|
| 712 | zaj = ( p_grv(ji,jj-1,ik ) + p_grv(ji,jj,ik ) & |
---|
| 713 | & + p_grv(ji,jj-1,ikm1) + p_grv(ji,jj,ikm1) ) / zcj * tmask(ji,jj,ik) |
---|
| 714 | ! !- bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
---|
| 715 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
---|
| 716 | zbi = MIN( zbw , -100._wp* ABS( zai ) , -7.e+3_wp/fse3w(ji,jj,ik)* ABS( zai ) ) |
---|
| 717 | zbj = MIN( zbw , -100._wp* ABS( zaj ) , -7.e+3_wp/fse3w(ji,jj,ik)* ABS( zaj ) ) |
---|
| 718 | ! !- i- & j-slope at w-points (wslpiml, wslpjml) |
---|
| 719 | wslpiml(ji,jj) = zai / ( zbi - zeps ) * tmask (ji,jj,ik) |
---|
| 720 | wslpjml(ji,jj) = zaj / ( zbj - zeps ) * tmask (ji,jj,ik) |
---|
[3] | 721 | END DO |
---|
| 722 | END DO |
---|
[2528] | 723 | !!gm this lbc_lnk should be useless.... |
---|
| 724 | CALL lbc_lnk( uslpml , 'U', -1. ) ; CALL lbc_lnk( vslpml , 'V', -1. ) ! lateral boundary cond. (sign change) |
---|
| 725 | CALL lbc_lnk( wslpiml, 'W', -1. ) ; CALL lbc_lnk( wslpjml, 'W', -1. ) ! lateral boundary conditions |
---|
[1515] | 726 | ! |
---|
[3] | 727 | END SUBROUTINE ldf_slp_mxl |
---|
| 728 | |
---|
| 729 | |
---|
| 730 | SUBROUTINE ldf_slp_init |
---|
| 731 | !!---------------------------------------------------------------------- |
---|
| 732 | !! *** ROUTINE ldf_slp_init *** |
---|
| 733 | !! |
---|
| 734 | !! ** Purpose : Initialization for the isopycnal slopes computation |
---|
| 735 | !! |
---|
| 736 | !! ** Method : read the nammbf namelist and check the parameter |
---|
[2715] | 737 | !! values called by tra_dmp at the first timestep (nit000) |
---|
[3] | 738 | !!---------------------------------------------------------------------- |
---|
| 739 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[2528] | 740 | INTEGER :: ierr ! local integer |
---|
[3] | 741 | !!---------------------------------------------------------------------- |
---|
| 742 | |
---|
[1515] | 743 | IF(lwp) THEN |
---|
[3] | 744 | WRITE(numout,*) |
---|
[2528] | 745 | WRITE(numout,*) 'ldf_slp_init : direction of lateral mixing' |
---|
| 746 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
[3] | 747 | ENDIF |
---|
[2528] | 748 | |
---|
| 749 | IF( ln_traldf_grif ) THEN ! Griffies operator : triad of slopes |
---|
| 750 | ALLOCATE( triadi_g(jpi,jpj,jpk,0:1,0:1) , triadj_g(jpi,jpj,jpk,0:1,0:1) , wslp2(jpi,jpj,jpk) , STAT=ierr ) |
---|
| 751 | ALLOCATE( triadi (jpi,jpj,jpk,0:1,0:1) , triadj (jpi,jpj,jpk,0:1,0:1) , STAT=ierr ) |
---|
[2715] | 752 | IF( ierr > 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate Griffies operator slope' ) |
---|
| 753 | IF( ldf_slp_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate workspace arrays' ) |
---|
[2528] | 754 | ! |
---|
| 755 | IF( ln_dynldf_iso ) CALL ctl_stop( 'ldf_slp_init: Griffies operator on momentum not supported' ) |
---|
| 756 | ! |
---|
[2715] | 757 | IF( ( ln_traldf_hor .OR. ln_dynldf_hor ) .AND. ln_sco ) & |
---|
| 758 | CALL ctl_stop( 'ldf_slp_init: horizontal Griffies operator in s-coordinate not supported' ) |
---|
[2528] | 759 | ! |
---|
| 760 | ELSE ! Madec operator : slopes at u-, v-, and w-points |
---|
| 761 | ALLOCATE( uslp(jpi,jpj,jpk) , vslp(jpi,jpj,jpk) , wslpi(jpi,jpj,jpk) , wslpj(jpi,jpj,jpk) , & |
---|
| 762 | & omlmask(jpi,jpj,jpk) , uslpml(jpi,jpj) , vslpml(jpi,jpj) , wslpiml(jpi,jpj) , wslpjml(jpi,jpj) , STAT=ierr ) |
---|
[2715] | 763 | IF( ierr > 0 ) CALL ctl_stop( 'STOP', 'ldf_slp_init : unable to allocate Madec operator slope ' ) |
---|
[3] | 764 | |
---|
[2528] | 765 | ! Direction of lateral diffusion (tracers and/or momentum) |
---|
| 766 | ! ------------------------------ |
---|
| 767 | uslp (:,:,:) = 0._wp ; uslpml (:,:) = 0._wp ! set the slope to zero (even in s-coordinates) |
---|
| 768 | vslp (:,:,:) = 0._wp ; vslpml (:,:) = 0._wp |
---|
| 769 | wslpi(:,:,:) = 0._wp ; wslpiml(:,:) = 0._wp |
---|
| 770 | wslpj(:,:,:) = 0._wp ; wslpjml(:,:) = 0._wp |
---|
[3] | 771 | |
---|
[2528] | 772 | !!gm I no longer understand this..... |
---|
| 773 | IF( (ln_traldf_hor .OR. ln_dynldf_hor) .AND. .NOT. (lk_vvl .AND. ln_rstart) ) THEN |
---|
[2715] | 774 | IF(lwp) WRITE(numout,*) ' Horizontal mixing in s-coordinate: slope = slope of s-surfaces' |
---|
[3] | 775 | |
---|
[2528] | 776 | ! geopotential diffusion in s-coordinates on tracers and/or momentum |
---|
| 777 | ! The slopes of s-surfaces are computed once (no call to ldfslp in step) |
---|
| 778 | ! The slopes for momentum diffusion are i- or j- averaged of those on tracers |
---|
[3] | 779 | |
---|
[2528] | 780 | ! set the slope of diffusion to the slope of s-surfaces |
---|
| 781 | ! ( c a u t i o n : minus sign as fsdep has positive value ) |
---|
| 782 | DO jk = 1, jpk |
---|
| 783 | DO jj = 2, jpjm1 |
---|
| 784 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 785 | uslp (ji,jj,jk) = -1./e1u(ji,jj) * ( fsdept(ji+1,jj,jk) - fsdept(ji ,jj ,jk) ) * umask(ji,jj,jk) |
---|
| 786 | vslp (ji,jj,jk) = -1./e2v(ji,jj) * ( fsdept(ji,jj+1,jk) - fsdept(ji ,jj ,jk) ) * vmask(ji,jj,jk) |
---|
| 787 | wslpi(ji,jj,jk) = -1./e1t(ji,jj) * ( fsdepw(ji+1,jj,jk) - fsdepw(ji-1,jj,jk) ) * tmask(ji,jj,jk) * 0.5 |
---|
| 788 | wslpj(ji,jj,jk) = -1./e2t(ji,jj) * ( fsdepw(ji,jj+1,jk) - fsdepw(ji,jj-1,jk) ) * tmask(ji,jj,jk) * 0.5 |
---|
| 789 | END DO |
---|
[3] | 790 | END DO |
---|
| 791 | END DO |
---|
[2715] | 792 | CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) ! Lateral boundary conditions |
---|
| 793 | CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) |
---|
[2528] | 794 | ENDIF |
---|
[2715] | 795 | ENDIF |
---|
| 796 | ! |
---|
[3] | 797 | END SUBROUTINE ldf_slp_init |
---|
| 798 | |
---|
| 799 | #else |
---|
| 800 | !!------------------------------------------------------------------------ |
---|
| 801 | !! Dummy module : NO Rotation of lateral mixing tensor |
---|
| 802 | !!------------------------------------------------------------------------ |
---|
[32] | 803 | LOGICAL, PUBLIC, PARAMETER :: lk_ldfslp = .FALSE. !: slopes flag |
---|
[3] | 804 | CONTAINS |
---|
| 805 | SUBROUTINE ldf_slp( kt, prd, pn2 ) ! Dummy routine |
---|
| 806 | INTEGER, INTENT(in) :: kt |
---|
[1515] | 807 | REAL, DIMENSION(:,:,:), INTENT(in) :: prd, pn2 |
---|
[32] | 808 | WRITE(*,*) 'ldf_slp: You should not have seen this print! error?', kt, prd(1,1,1), pn2(1,1,1) |
---|
[3] | 809 | END SUBROUTINE ldf_slp |
---|
[2605] | 810 | SUBROUTINE ldf_slp_grif( kt ) ! Dummy routine |
---|
| 811 | INTEGER, INTENT(in) :: kt |
---|
| 812 | WRITE(*,*) 'ldf_slp_grif: You should not have seen this print! error?', kt |
---|
| 813 | END SUBROUTINE ldf_slp_grif |
---|
[2528] | 814 | SUBROUTINE ldf_slp_init ! Dummy routine |
---|
| 815 | END SUBROUTINE ldf_slp_init |
---|
[3] | 816 | #endif |
---|
| 817 | |
---|
| 818 | !!====================================================================== |
---|
| 819 | END MODULE ldfslp |
---|