| 1 | MODULE ldfslp |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE ldfslp *** |
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| 4 | !! Ocean physics: slopes of neutral surfaces |
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| 5 | !!====================================================================== |
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| 6 | !! 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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| 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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| 26 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 27 | USE in_out_manager ! I/O manager |
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| 28 | USE prtctl ! Print control |
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| 29 | |
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| 30 | IMPLICIT NONE |
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| 31 | PRIVATE |
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| 32 | |
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| 33 | PUBLIC ldf_slp ! routine called by step.F90 |
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| 34 | |
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| 35 | LOGICAL , PUBLIC, PARAMETER :: lk_ldfslp = .TRUE. !: slopes flag |
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| 36 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: uslp, wslpi !: i_slope at U- and W-points |
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| 37 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: vslp, wslpj !: j-slope at V- and W-points |
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| 38 | |
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| 39 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: omlmask ! mask of the surface mixed layer at T-pt |
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| 40 | REAL(wp), DIMENSION(jpi,jpj) :: uslpml, wslpiml ! i_slope at U- and W-points just below the mixed layer |
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| 41 | REAL(wp), DIMENSION(jpi,jpj) :: vslpml, wslpjml ! j_slope at V- and W-points just below the mixed layer |
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| 42 | |
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| 43 | !! * Substitutions |
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| 44 | # include "domzgr_substitute.h90" |
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| 45 | # include "vectopt_loop_substitute.h90" |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | !! NEMO/OPA 3.2 , LOCEAN-IPSL (2009) |
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| 48 | !! $Id$ |
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| 49 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 50 | !!---------------------------------------------------------------------- |
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| 51 | |
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| 52 | CONTAINS |
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| 53 | |
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| 54 | SUBROUTINE ldf_slp( kt, prd, pn2 ) |
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| 55 | !!---------------------------------------------------------------------- |
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| 56 | !! *** ROUTINE ldf_slp *** |
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| 57 | !! |
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| 58 | !! ** Purpose : Compute the slopes of neutral surface (slope of isopycnal |
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| 59 | !! surfaces referenced locally) ('key_traldfiso'). |
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| 60 | !! |
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| 61 | !! ** Method : The slope in the i-direction is computed at U- and |
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| 62 | !! W-points (uslp, wslpi) and the slope in the j-direction is |
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| 63 | !! computed at V- and W-points (vslp, wslpj). |
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| 64 | !! They are bounded by 1/100 over the whole ocean, and within the |
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| 65 | !! surface layer they are bounded by the distance to the surface |
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| 66 | !! ( slope<= depth/l where l is the length scale of horizontal |
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| 67 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
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| 68 | !! of 10cm/s) |
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| 69 | !! A horizontal shapiro filter is applied to the slopes |
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| 70 | !! ln_sco=T, s-coordinate, add to the previously computed slopes |
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| 71 | !! the slope of the model level surface. |
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| 72 | !! macro-tasked on horizontal slab (jk-loop) (2, jpk-1) |
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| 73 | !! [slopes already set to zero at level 1, and to zero or the ocean |
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| 74 | !! bottom slope (ln_sco=T) at level jpk in inildf] |
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| 75 | !! |
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| 76 | !! ** Action : - uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
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| 77 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
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| 78 | !!---------------------------------------------------------------------- |
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| 79 | USE oce , zgru => ua ! use ua as workspace |
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| 80 | USE oce , zgrv => va ! use va as workspace |
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| 81 | USE oce , zwy => ta ! use ta as workspace |
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| 82 | USE oce , zwz => sa ! use sa as workspace |
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| 83 | !! |
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| 84 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 85 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: prd ! in situ density |
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| 86 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pn2 ! Brunt-Vaisala frequency (locally ref.) |
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| 87 | !! |
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| 88 | INTEGER :: ji , jj , jk ! dummy loop indices |
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| 89 | INTEGER :: ii0, ii1, iku ! temporary integer |
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| 90 | INTEGER :: ij0, ij1, ikv ! temporary integer |
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| 91 | REAL(wp) :: zeps, zmg, zm05g, zalpha ! temporary scalars |
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| 92 | REAL(wp) :: zcoef1, zcoef2, zcoef3 ! - - |
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| 93 | REAL(wp) :: zcofu , zcofv , zcofw ! - - |
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| 94 | REAL(wp) :: zau, zbu, zai, zbi, z1u, z1wu ! - - |
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| 95 | REAL(wp) :: zav, zbv, zaj, zbj, z1v, z1wv ! |
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| 96 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zww ! 3D workspace |
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| 97 | !!---------------------------------------------------------------------- |
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| 98 | |
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| 99 | IF( kt == nit000 ) CALL ldf_slp_init ! initialization (first time-step only) |
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| 100 | |
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| 101 | zeps = 1.e-20 ! Local constant initialization |
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| 102 | zmg = -1.0 / grav |
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| 103 | zm05g = -0.5 / grav |
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| 104 | ! |
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| 105 | zww(:,:,:) = 0.e0 |
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| 106 | zwz(:,:,:) = 0.e0 |
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| 107 | ! ! horizontal density gradient computation |
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| 108 | DO jk = 1, jpk |
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| 109 | DO jj = 1, jpjm1 |
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| 110 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 111 | zgru(ji,jj,jk) = umask(ji,jj,jk) * ( prd(ji+1,jj ,jk) - prd(ji,jj,jk) ) |
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| 112 | zgrv(ji,jj,jk) = vmask(ji,jj,jk) * ( prd(ji ,jj+1,jk) - prd(ji,jj,jk) ) |
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| 113 | END DO |
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| 114 | END DO |
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| 115 | END DO |
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| 116 | IF( ln_zps ) THEN ! partial steps correction at the bottom ocean level |
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| 117 | # if defined key_vectopt_loop |
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| 118 | DO jj = 1, 1 |
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| 119 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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| 120 | # else |
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| 121 | DO jj = 1, jpjm1 |
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| 122 | DO ji = 1, jpim1 |
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| 123 | # endif |
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| 124 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 ! last ocean level |
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| 125 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
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| 126 | zgru(ji,jj,iku) = gru(ji,jj) |
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| 127 | zgrv(ji,jj,ikv) = grv(ji,jj) |
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| 128 | END DO |
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| 129 | END DO |
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| 130 | ENDIF |
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| 131 | |
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| 132 | CALL ldf_slp_mxl( prd, pn2 ) ! Slopes of isopycnal surfaces just below the mixed layer |
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| 133 | |
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| 134 | |
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| 135 | ! I. slopes at u and v point | uslp = d/di( prd ) / d/dz( prd ) |
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| 136 | ! =========================== | vslp = d/dj( prd ) / d/dz( prd ) |
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| 137 | ! |
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| 138 | ! !* Local vertical density gradient evaluated from N^2 |
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| 139 | DO jk = 2, jpkm1 ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point |
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| 140 | DO jj = 1, jpj |
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| 141 | DO ji = 1, jpi |
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| 142 | zwy(ji,jj,jk) = zmg * ( prd(ji,jj,jk) + 1. ) * ( pn2 (ji,jj,jk) + pn2 (ji,jj,jk+1) ) & |
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| 143 | & / MAX( tmask(ji,jj,jk) + tmask(ji,jj,jk+1), 1. ) |
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| 144 | END DO |
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| 145 | END DO |
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| 146 | END DO |
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| 147 | DO jk = 2, jpkm1 !* Slopes at u and v points |
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| 148 | DO jj = 2, jpjm1 |
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| 149 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 150 | ! horizontal and vertical density gradient at u- and v-points |
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| 151 | zau = 1. / e1u(ji,jj) * zgru(ji,jj,jk) |
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| 152 | zav = 1. / e2v(ji,jj) * zgrv(ji,jj,jk) |
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| 153 | zbu = 0.5 * ( zwy(ji,jj,jk) + zwy(ji+1,jj ,jk) ) |
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| 154 | zbv = 0.5 * ( zwy(ji,jj,jk) + zwy(ji ,jj+1,jk) ) |
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| 155 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
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| 156 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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| 157 | zbu = MIN( zbu, -100.*ABS( zau ), -7.e+3/fse3u(ji,jj,jk)*ABS( zau ) ) |
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| 158 | zbv = MIN( zbv, -100.*ABS( zav ), -7.e+3/fse3v(ji,jj,jk)*ABS( zav ) ) |
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| 159 | ! uslp and vslp output in zwz and zww, resp. |
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| 160 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji+1,jj,jk) ) |
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| 161 | zwz (ji,jj,jk) = ( ( 1. - zalpha) * zau / ( zbu - zeps ) & |
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| 162 | & + zalpha * uslpml(ji,jj) & |
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| 163 | & * 0.5 * ( fsdept(ji+1,jj,jk)+fsdept(ji,jj,jk)-fse3u(ji,jj,1) ) & |
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| 164 | & / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 5. ) ) * umask(ji,jj,jk) |
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| 165 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji,jj+1,jk) ) |
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| 166 | zww (ji,jj,jk) = ( ( 1. - zalpha) * zav / ( zbv - zeps ) & |
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| 167 | & + zalpha * vslpml(ji,jj) & |
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| 168 | & * 0.5 * ( fsdept(ji,jj+1,jk)+fsdept(ji,jj,jk)-fse3v(ji,jj,1) ) & |
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| 169 | & / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 5. ) ) * vmask(ji,jj,jk) |
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| 170 | END DO |
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| 171 | END DO |
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| 172 | END DO |
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| 173 | CALL lbc_lnk( zwz, 'U', -1. ) ; CALL lbc_lnk( zww, 'V', -1. ) ! lateral boundary conditions |
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| 174 | ! |
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| 175 | zcofu = 1. / 16. !* horizontal Shapiro filter |
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| 176 | zcofv = 1. / 16. |
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| 177 | DO jk = 2, jpkm1 |
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| 178 | DO jj = 2, jpjm1, jpj-3 ! rows jj=2 and =jpjm1 only |
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| 179 | DO ji = 2, jpim1 |
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| 180 | uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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| 181 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 182 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 183 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 184 | & + 4.* zwz(ji ,jj ,jk) ) |
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| 185 | vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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| 186 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 187 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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| 188 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 189 | & + 4.* zww(ji,jj ,jk) ) |
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| 190 | END DO |
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| 191 | END DO |
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| 192 | DO jj = 3, jpj-2 ! other rows |
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| 193 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 194 | uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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| 195 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 196 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 197 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 198 | & + 4.* zwz(ji ,jj ,jk) ) |
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| 199 | vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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| 200 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 201 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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| 202 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 203 | & + 4.* zww(ji,jj ,jk) ) |
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| 204 | END DO |
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| 205 | END DO |
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| 206 | ! !* decrease along coastal boundaries |
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| 207 | DO jj = 2, jpjm1 |
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| 208 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 209 | z1u = ( umask(ji,jj+1,jk) + umask(ji,jj-1,jk) )*.5 |
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| 210 | z1v = ( vmask(ji+1,jj,jk) + vmask(ji-1,jj,jk) )*.5 |
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| 211 | z1wu = ( umask(ji,jj,jk) + umask(ji,jj,jk+1) )*.5 |
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| 212 | z1wv = ( vmask(ji,jj,jk) + vmask(ji,jj,jk+1) )*.5 |
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| 213 | uslp(ji,jj,jk) = uslp(ji,jj,jk) * z1u * z1wu |
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| 214 | vslp(ji,jj,jk) = vslp(ji,jj,jk) * z1v * z1wv |
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| 215 | END DO |
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| 216 | END DO |
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| 217 | END DO |
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| 218 | |
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| 219 | |
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| 220 | ! II. slopes at w point | wslpi = mij( d/di( prd ) / d/dz( prd ) |
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| 221 | ! =========================== | wslpj = mij( d/dj( prd ) / d/dz( prd ) |
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| 222 | ! |
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| 223 | ! !* Local vertical density gradient evaluated from N^2 |
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| 224 | DO jk = 2, jpkm1 ! zwy = d/dz(prd)= - mk ( prd ) / grav * pn2 -- at w point |
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| 225 | DO jj = 1, jpj |
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| 226 | DO ji = 1, jpi |
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| 227 | zwy(ji,jj,jk) = zm05g * pn2 (ji,jj,jk) * ( prd (ji,jj,jk) + prd (ji,jj,jk-1) + 2. ) |
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| 228 | END DO |
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| 229 | END DO |
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| 230 | END DO |
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| 231 | DO jk = 2, jpkm1 !* Slopes at w point |
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| 232 | DO jj = 2, jpjm1 |
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| 233 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 234 | ! ! horizontal density i-gradient at w-points |
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| 235 | zcoef1 = MAX( zeps, umask(ji-1,jj,jk )+umask(ji,jj,jk ) & |
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| 236 | & +umask(ji-1,jj,jk-1)+umask(ji,jj,jk-1) ) |
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| 237 | zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) |
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| 238 | zai = zcoef1 * ( zgru(ji ,jj,jk ) + zgru(ji ,jj,jk-1) & |
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| 239 | & + zgru(ji-1,jj,jk-1) + zgru(ji-1,jj,jk ) ) * tmask (ji,jj,jk) |
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| 240 | ! ! horizontal density j-gradient at w-points |
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| 241 | zcoef2 = MAX( zeps, vmask(ji,jj-1,jk )+vmask(ji,jj,jk-1) & |
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| 242 | & +vmask(ji,jj-1,jk-1)+vmask(ji,jj,jk ) ) |
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| 243 | zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) |
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| 244 | zaj = zcoef2 * ( zgrv(ji,jj ,jk ) + zgrv(ji,jj ,jk-1) & |
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| 245 | & + zgrv(ji,jj-1,jk-1) + zgrv(ji,jj-1,jk ) ) * tmask (ji,jj,jk) |
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| 246 | ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
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| 247 | ! ! static instability: kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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| 248 | zbi = MIN( zwy (ji,jj,jk),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,jk)*ABS(zai) ) |
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| 249 | zbj = MIN( zwy (ji,jj,jk), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,jk)*ABS(zaj) ) |
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| 250 | ! ! wslpi and wslpj output in zwz and zww, resp. |
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| 251 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji,jj,jk-1) ) |
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| 252 | zcoef3 = fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj), 10. ) |
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| 253 | zwz(ji,jj,jk) = ( zai / ( zbi - zeps) * ( 1. - zalpha ) & |
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| 254 | & + zcoef3 * wslpiml(ji,jj) * zalpha ) * tmask (ji,jj,jk) |
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| 255 | zww(ji,jj,jk) = ( zaj / ( zbj - zeps) * ( 1. - zalpha ) & |
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| 256 | & + zcoef3 * wslpjml(ji,jj) * zalpha ) * tmask (ji,jj,jk) |
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| 257 | END DO |
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| 258 | END DO |
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| 259 | END DO |
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| 260 | CALL lbc_lnk( zwz, 'T', -1. ) ; CALL lbc_lnk( zww, 'T', -1. ) ! lateral boundary conditions on zwz and zww |
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| 261 | ! |
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| 262 | ! !* horizontal Shapiro filter |
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| 263 | DO jk = 2, jpkm1 |
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| 264 | DO jj = 2, jpjm1, jpj-3 ! rows jj=2 and =jpjm1 |
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| 265 | DO ji = 2, jpim1 |
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| 266 | zcofw = tmask(ji,jj,jk) / 16. |
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| 267 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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| 268 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 269 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 270 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 271 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
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| 272 | |
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| 273 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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| 274 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 275 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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| 276 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 277 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
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| 278 | END DO |
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| 279 | END DO |
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| 280 | DO jj = 3, jpj-2 ! other rows |
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| 281 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 282 | zcofw = tmask(ji,jj,jk) / 16. |
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| 283 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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| 284 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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| 285 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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| 286 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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| 287 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
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| 288 | |
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| 289 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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| 290 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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| 291 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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| 292 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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| 293 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
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| 294 | END DO |
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| 295 | END DO |
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| 296 | ! !* decrease along coastal boundaries |
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| 297 | DO jj = 2, jpjm1 |
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| 298 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 299 | z1u = ( umask(ji,jj,jk) + umask(ji-1,jj,jk) ) *.5 |
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| 300 | z1v = ( vmask(ji,jj,jk) + vmask(ji,jj-1,jk) ) *.5 |
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| 301 | wslpi(ji,jj,jk) = wslpi(ji,jj,jk) * z1u * z1v |
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| 302 | wslpj(ji,jj,jk) = wslpj(ji,jj,jk) * z1u * z1v |
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| 303 | END DO |
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| 304 | END DO |
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| 305 | END DO |
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| 306 | |
|---|
| 307 | |
|---|
| 308 | ! III. Specific grid points |
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| 309 | ! =========================== |
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| 310 | ! |
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| 311 | IF( cp_cfg == "orca" .AND. jp_cfg == 4 ) THEN ! ORCA_R4 configuration: horizontal diffusion in specific area |
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| 312 | ! ! Gibraltar Strait |
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| 313 | ij0 = 50 ; ij1 = 53 |
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| 314 | ii0 = 69 ; ii1 = 71 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 315 | ij0 = 51 ; ij1 = 53 |
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| 316 | ii0 = 68 ; ii1 = 71 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 317 | ii0 = 69 ; ii1 = 71 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 318 | ii0 = 69 ; ii1 = 71 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 319 | ! |
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| 320 | ! ! Mediterrannean Sea |
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| 321 | ij0 = 49 ; ij1 = 56 |
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| 322 | ii0 = 71 ; ii1 = 90 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 323 | ij0 = 50 ; ij1 = 56 |
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| 324 | ii0 = 70 ; ii1 = 90 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 325 | ii0 = 71 ; ii1 = 90 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 326 | ii0 = 71 ; ii1 = 90 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
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| 327 | ENDIF |
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| 328 | |
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| 329 | |
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| 330 | ! IV. Lateral boundary conditions |
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| 331 | ! =============================== |
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| 332 | CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) |
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| 333 | CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) |
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| 334 | |
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| 335 | |
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| 336 | IF(ln_ctl) THEN |
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| 337 | CALL prt_ctl(tab3d_1=uslp , clinfo1=' slp - u : ', tab3d_2=vslp, clinfo2=' v : ', kdim=jpk) |
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| 338 | CALL prt_ctl(tab3d_1=wslpi, clinfo1=' slp - wi: ', tab3d_2=wslpj, clinfo2=' wj: ', kdim=jpk) |
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| 339 | ENDIF |
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| 340 | ! |
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| 341 | END SUBROUTINE ldf_slp |
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| 342 | |
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| 343 | |
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| 344 | SUBROUTINE ldf_slp_mxl( prd, pn2 ) |
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| 345 | !!---------------------------------------------------------------------- |
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| 346 | !! *** ROUTINE ldf_slp_mxl *** |
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| 347 | !! |
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| 348 | !! ** Purpose : Compute the slopes of iso-neutral surface just below |
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| 349 | !! the mixed layer. |
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| 350 | !! |
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| 351 | !! ** Method : |
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| 352 | !! The slope in the i-direction is computed at u- and w-points |
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| 353 | !! (uslp, wslpi) and the slope in the j-direction is computed at |
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| 354 | !! v- and w-points (vslp, wslpj). |
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| 355 | !! They are bounded by 1/100 over the whole ocean, and within the |
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| 356 | !! surface layer they are bounded by the distance to the surface |
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| 357 | !! ( slope<= depth/l where l is the length scale of horizontal |
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| 358 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
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| 359 | !! of 10cm/s) |
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| 360 | !! |
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| 361 | !! ** Action : Compute uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
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| 362 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
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| 363 | !!---------------------------------------------------------------------- |
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| 364 | USE oce , zgru => ua ! ua, va used as workspace and set to hor. |
|---|
| 365 | USE oce , zgrv => va ! density gradient in ldf_slp |
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| 366 | !! |
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| 367 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in) :: prd ! in situ density |
|---|
| 368 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in) :: pn2 ! Brunt-Vaisala frequency (locally ref.) |
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| 369 | !! |
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| 370 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 371 | INTEGER :: ik, ikm1 ! temporary integers |
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| 372 | REAL(wp) :: zeps, zmg, zm05g ! temporary scalars |
|---|
| 373 | REAL(wp) :: zcoef1, zcoef2 ! - - |
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| 374 | REAL(wp) :: zau, zbu, zai, zbi ! - - |
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| 375 | REAL(wp) :: zav, zbv, zaj, zbj ! - - |
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| 376 | REAL(wp), DIMENSION(jpi,jpj) :: zwy ! 2D workspace |
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| 377 | !!---------------------------------------------------------------------- |
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| 378 | |
|---|
| 379 | zeps = 1.e-20 ! Local constant initialization |
|---|
| 380 | zmg = -1.0 / grav |
|---|
| 381 | zm05g = -0.5 / grav |
|---|
| 382 | ! |
|---|
| 383 | uslpml (1,:) = 0.e0 ; uslpml (jpi,:) = 0.e0 |
|---|
| 384 | vslpml (1,:) = 0.e0 ; vslpml (jpi,:) = 0.e0 |
|---|
| 385 | wslpiml(1,:) = 0.e0 ; wslpiml(jpi,:) = 0.e0 |
|---|
| 386 | wslpjml(1,:) = 0.e0 ; wslpjml(jpi,:) = 0.e0 |
|---|
| 387 | |
|---|
| 388 | ! ! surface mixed layer mask |
|---|
| 389 | DO jk = 1, jpk ! =1 inside the mixed layer, =0 otherwise |
|---|
| 390 | # if defined key_vectopt_loop |
|---|
| 391 | DO jj = 1, 1 |
|---|
| 392 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
|---|
| 393 | # else |
|---|
| 394 | DO jj = 1, jpj |
|---|
| 395 | DO ji = 1, jpi |
|---|
| 396 | # endif |
|---|
| 397 | ik = nmln(ji,jj) - 1 |
|---|
| 398 | IF( jk <= ik ) THEN ; omlmask(ji,jj,jk) = 1.e0 |
|---|
| 399 | ELSE ; omlmask(ji,jj,jk) = 0.e0 |
|---|
| 400 | ENDIF |
|---|
| 401 | END DO |
|---|
| 402 | END DO |
|---|
| 403 | END DO |
|---|
| 404 | |
|---|
| 405 | |
|---|
| 406 | ! Slopes of isopycnal surfaces just before bottom of mixed layer |
|---|
| 407 | ! -------------------------------------------------------------- |
|---|
| 408 | ! The slope are computed as in the 3D case. |
|---|
| 409 | ! A key point here is the definition of the mixed layer at u- and v-points. |
|---|
| 410 | ! It is assumed to be the maximum of the two neighbouring T-point mixed layer depth. |
|---|
| 411 | ! Otherwise, a n2 value inside the mixed layer can be involved in the computation |
|---|
| 412 | ! of the slope, resulting in a too steep diagnosed slope and thus a spurious eddy |
|---|
| 413 | ! induce velocity field near the base of the mixed layer. |
|---|
| 414 | !----------------------------------------------------------------------- |
|---|
| 415 | ! |
|---|
| 416 | zwy(:,jpj) = 0.e0 !* vertical density gradient for u-slope (from N^2) |
|---|
| 417 | zwy(jpi,:) = 0.e0 |
|---|
| 418 | # if defined key_vectopt_loop |
|---|
| 419 | DO jj = 1, 1 |
|---|
| 420 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
|---|
| 421 | # else |
|---|
| 422 | DO jj = 1, jpjm1 |
|---|
| 423 | DO ji = 1, jpim1 |
|---|
| 424 | # endif |
|---|
| 425 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) ! avoid spurious recirculation |
|---|
| 426 | ik = MIN( ik, jpkm1 ) ! if ik = jpk take jpkm1 values |
|---|
| 427 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) * ( pn2 (ji,jj,ik) + pn2 (ji,jj,ik+1) ) & |
|---|
| 428 | & / MAX( tmask(ji,jj,ik) + tmask(ji,jj,ik+1), 1. ) |
|---|
| 429 | END DO |
|---|
| 430 | END DO |
|---|
| 431 | CALL lbc_lnk( zwy, 'U', 1. ) ! lateral boundary conditions NO sign change |
|---|
| 432 | |
|---|
| 433 | ! !* Slope at u points |
|---|
| 434 | # if defined key_vectopt_loop |
|---|
| 435 | DO jj = 1, 1 |
|---|
| 436 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 437 | # else |
|---|
| 438 | DO jj = 2, jpjm1 |
|---|
| 439 | DO ji = 2, jpim1 |
|---|
| 440 | # endif |
|---|
| 441 | ! horizontal and vertical density gradient at u-points |
|---|
| 442 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) |
|---|
| 443 | ik = MIN( ik, jpkm1 ) |
|---|
| 444 | zau = 1./ e1u(ji,jj) * zgru(ji,jj,ik) |
|---|
| 445 | zbu = 0.5*( zwy(ji,jj) + zwy(ji+1,jj) ) |
|---|
| 446 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
|---|
| 447 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
|---|
| 448 | zbu = MIN( zbu, -100.*ABS(zau), -7.e+3/fse3u(ji,jj,ik)*ABS(zau) ) |
|---|
| 449 | ! uslpml |
|---|
| 450 | uslpml (ji,jj) = zau / ( zbu - zeps ) * umask (ji,jj,ik) |
|---|
| 451 | END DO |
|---|
| 452 | END DO |
|---|
| 453 | CALL lbc_lnk( uslpml, 'U', -1. ) ! lateral boundary conditions (i-gradient => sign change) |
|---|
| 454 | |
|---|
| 455 | ! !* vertical density gradient for v-slope (from N^2) |
|---|
| 456 | # if defined key_vectopt_loop |
|---|
| 457 | DO jj = 1, 1 |
|---|
| 458 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
|---|
| 459 | # else |
|---|
| 460 | DO jj = 1, jpjm1 |
|---|
| 461 | DO ji = 1, jpim1 |
|---|
| 462 | # endif |
|---|
| 463 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
|---|
| 464 | ik = MIN( ik, jpkm1 ) |
|---|
| 465 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) * ( pn2 (ji,jj,ik) + pn2 (ji,jj,ik+1) ) & |
|---|
| 466 | & / MAX( tmask(ji,jj,ik) + tmask(ji,jj,ik+1), 1. ) |
|---|
| 467 | END DO |
|---|
| 468 | END DO |
|---|
| 469 | CALL lbc_lnk( zwy, 'V', 1. ) ! lateral boundary conditions NO sign change |
|---|
| 470 | |
|---|
| 471 | ! !* Slope at v points |
|---|
| 472 | # if defined key_vectopt_loop |
|---|
| 473 | DO jj = 1, 1 |
|---|
| 474 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 475 | # else |
|---|
| 476 | DO jj = 2, jpjm1 |
|---|
| 477 | DO ji = 2, jpim1 |
|---|
| 478 | # endif |
|---|
| 479 | ! horizontal and vertical density gradient at v-points |
|---|
| 480 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
|---|
| 481 | ik = MIN( ik,jpkm1 ) |
|---|
| 482 | zav = 1./ e2v(ji,jj) * zgrv(ji,jj,ik) |
|---|
| 483 | zbv = 0.5*( zwy(ji,jj) + zwy(ji,jj+1) ) |
|---|
| 484 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
|---|
| 485 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
|---|
| 486 | zbv = MIN( zbv, -100.*ABS(zav), -7.e+3/fse3v(ji,jj,ik)*ABS( zav ) ) |
|---|
| 487 | ! vslpml |
|---|
| 488 | vslpml (ji,jj) = zav / ( zbv - zeps ) * vmask (ji,jj,ik) |
|---|
| 489 | END DO |
|---|
| 490 | END DO |
|---|
| 491 | CALL lbc_lnk( vslpml, 'V', -1. ) ! lateral boundary conditions (j-gradient => sign change) |
|---|
| 492 | |
|---|
| 493 | |
|---|
| 494 | ! !* vertical density gradient for w-slope (from N^2) |
|---|
| 495 | # if defined key_vectopt_loop |
|---|
| 496 | DO jj = 1, 1 |
|---|
| 497 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
|---|
| 498 | # else |
|---|
| 499 | DO jj = 1, jpj |
|---|
| 500 | DO ji = 1, jpi |
|---|
| 501 | # endif |
|---|
| 502 | ik = nmln(ji,jj) + 1 |
|---|
| 503 | ik = MIN( ik, jpk ) |
|---|
| 504 | ikm1 = MAX ( 1, ik-1) |
|---|
| 505 | zwy (ji,jj) = zm05g * pn2 (ji,jj,ik) * & |
|---|
| 506 | & ( prd (ji,jj,ik) + prd (ji,jj,ikm1) + 2. ) |
|---|
| 507 | END DO |
|---|
| 508 | END DO |
|---|
| 509 | |
|---|
| 510 | ! !* Slopes at w points |
|---|
| 511 | # if defined key_vectopt_loop |
|---|
| 512 | DO jj = 1, 1 |
|---|
| 513 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 514 | # else |
|---|
| 515 | DO jj = 2, jpjm1 |
|---|
| 516 | DO ji = 2, jpim1 |
|---|
| 517 | # endif |
|---|
| 518 | ik = nmln(ji,jj) + 1 |
|---|
| 519 | ik = MIN( ik, jpk ) |
|---|
| 520 | ikm1 = MAX ( 1, ik-1 ) |
|---|
| 521 | ! horizontal density i-gradient at w-points |
|---|
| 522 | zcoef1 = MAX( zeps, umask(ji-1,jj,ik )+umask(ji,jj,ik ) & |
|---|
| 523 | & +umask(ji-1,jj,ikm1)+umask(ji,jj,ikm1) ) |
|---|
| 524 | zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) |
|---|
| 525 | zai = zcoef1 * ( zgru(ji ,jj,ik ) + zgru(ji ,jj,ikm1) & |
|---|
| 526 | & + zgru(ji-1,jj,ikm1) + zgru(ji-1,jj,ik ) ) * tmask (ji,jj,ik) |
|---|
| 527 | ! horizontal density j-gradient at w-points |
|---|
| 528 | zcoef2 = MAX( zeps, vmask(ji,jj-1,ik )+vmask(ji,jj,ikm1) & |
|---|
| 529 | & +vmask(ji,jj-1,ikm1)+vmask(ji,jj,ik ) ) |
|---|
| 530 | zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) |
|---|
| 531 | zaj = zcoef2 * ( zgrv(ji,jj ,ik ) + zgrv(ji,jj ,ikm1) & |
|---|
| 532 | & + zgrv(ji,jj-1,ikm1) + zgrv(ji,jj-1,ik ) ) * tmask (ji,jj,ik) |
|---|
| 533 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
|---|
| 534 | ! static instability: |
|---|
| 535 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
|---|
| 536 | zbi = MIN ( zwy (ji,jj),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,ik)*ABS(zai) ) |
|---|
| 537 | zbj = MIN ( zwy (ji,jj), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,ik)*ABS(zaj) ) |
|---|
| 538 | ! wslpiml and wslpjml |
|---|
| 539 | wslpiml (ji,jj) = zai / ( zbi - zeps) * tmask (ji,jj,ik) |
|---|
| 540 | wslpjml (ji,jj) = zaj / ( zbj - zeps) * tmask (ji,jj,ik) |
|---|
| 541 | END DO |
|---|
| 542 | END DO |
|---|
| 543 | CALL lbc_lnk( wslpiml, 'W', -1. ) ; CALL lbc_lnk( wslpjml, 'W', -1. ) ! lateral boundary conditions |
|---|
| 544 | ! |
|---|
| 545 | END SUBROUTINE ldf_slp_mxl |
|---|
| 546 | |
|---|
| 547 | |
|---|
| 548 | SUBROUTINE ldf_slp_init |
|---|
| 549 | !!---------------------------------------------------------------------- |
|---|
| 550 | !! *** ROUTINE ldf_slp_init *** |
|---|
| 551 | !! |
|---|
| 552 | !! ** Purpose : Initialization for the isopycnal slopes computation |
|---|
| 553 | !! |
|---|
| 554 | !! ** Method : read the nammbf namelist and check the parameter |
|---|
| 555 | !! values called by tra_dmp at the first timestep (nit000) |
|---|
| 556 | !!---------------------------------------------------------------------- |
|---|
| 557 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 558 | !!---------------------------------------------------------------------- |
|---|
| 559 | |
|---|
| 560 | IF(lwp) THEN |
|---|
| 561 | WRITE(numout,*) |
|---|
| 562 | WRITE(numout,*) 'ldf_slp : direction of lateral mixing' |
|---|
| 563 | WRITE(numout,*) '~~~~~~~' |
|---|
| 564 | ENDIF |
|---|
| 565 | |
|---|
| 566 | ! Direction of lateral diffusion (tracers and/or momentum) |
|---|
| 567 | ! ------------------------------ |
|---|
| 568 | ! set the slope to zero (even in s-coordinates) |
|---|
| 569 | |
|---|
| 570 | uslp (:,:,:) = 0.e0 |
|---|
| 571 | vslp (:,:,:) = 0.e0 |
|---|
| 572 | wslpi(:,:,:) = 0.e0 |
|---|
| 573 | wslpj(:,:,:) = 0.e0 |
|---|
| 574 | |
|---|
| 575 | uslpml (:,:) = 0.e0 |
|---|
| 576 | vslpml (:,:) = 0.e0 |
|---|
| 577 | wslpiml(:,:) = 0.e0 |
|---|
| 578 | wslpjml(:,:) = 0.e0 |
|---|
| 579 | |
|---|
| 580 | IF( (ln_traldf_hor .OR. ln_dynldf_hor) .AND. .NOT. (lk_vvl .AND. ln_rstart) ) THEN |
|---|
| 581 | IF(lwp) THEN |
|---|
| 582 | WRITE(numout,*) ' Horizontal mixing in s-coordinate: slope = slope of s-surfaces' |
|---|
| 583 | ENDIF |
|---|
| 584 | |
|---|
| 585 | ! geopotential diffusion in s-coordinates on tracers and/or momentum |
|---|
| 586 | ! The slopes of s-surfaces are computed once (no call to ldfslp in step) |
|---|
| 587 | ! The slopes for momentum diffusion are i- or j- averaged of those on tracers |
|---|
| 588 | |
|---|
| 589 | ! set the slope of diffusion to the slope of s-surfaces |
|---|
| 590 | ! ( c a u t i o n : minus sign as fsdep has positive value ) |
|---|
| 591 | DO jk = 1, jpk |
|---|
| 592 | DO jj = 2, jpjm1 |
|---|
| 593 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 594 | uslp (ji,jj,jk) = -1./e1u(ji,jj) * ( fsdept(ji+1,jj,jk) - fsdept(ji ,jj ,jk) ) * umask(ji,jj,jk) |
|---|
| 595 | vslp (ji,jj,jk) = -1./e2v(ji,jj) * ( fsdept(ji,jj+1,jk) - fsdept(ji ,jj ,jk) ) * vmask(ji,jj,jk) |
|---|
| 596 | wslpi(ji,jj,jk) = -1./e1t(ji,jj) * ( fsdepw(ji+1,jj,jk) - fsdepw(ji-1,jj,jk) ) * tmask(ji,jj,jk) * 0.5 |
|---|
| 597 | wslpj(ji,jj,jk) = -1./e2t(ji,jj) * ( fsdepw(ji,jj+1,jk) - fsdepw(ji,jj-1,jk) ) * tmask(ji,jj,jk) * 0.5 |
|---|
| 598 | END DO |
|---|
| 599 | END DO |
|---|
| 600 | END DO |
|---|
| 601 | ! Lateral boundary conditions on the slopes |
|---|
| 602 | CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) |
|---|
| 603 | CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) |
|---|
| 604 | ENDIF |
|---|
| 605 | ! |
|---|
| 606 | END SUBROUTINE ldf_slp_init |
|---|
| 607 | |
|---|
| 608 | #else |
|---|
| 609 | !!------------------------------------------------------------------------ |
|---|
| 610 | !! Dummy module : NO Rotation of lateral mixing tensor |
|---|
| 611 | !!------------------------------------------------------------------------ |
|---|
| 612 | LOGICAL, PUBLIC, PARAMETER :: lk_ldfslp = .FALSE. !: slopes flag |
|---|
| 613 | CONTAINS |
|---|
| 614 | SUBROUTINE ldf_slp( kt, prd, pn2 ) ! Dummy routine |
|---|
| 615 | INTEGER, INTENT(in) :: kt |
|---|
| 616 | REAL, DIMENSION(:,:,:), INTENT(in) :: prd, pn2 |
|---|
| 617 | WRITE(*,*) 'ldf_slp: You should not have seen this print! error?', kt, prd(1,1,1), pn2(1,1,1) |
|---|
| 618 | END SUBROUTINE ldf_slp |
|---|
| 619 | #endif |
|---|
| 620 | |
|---|
| 621 | !!====================================================================== |
|---|
| 622 | END MODULE ldfslp |
|---|
