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 | !! 3.3 ! 2010-10 (G. Nurser, C. Harris, G. Madec) add Griffies operator |
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12 | !!---------------------------------------------------------------------- |
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13 | #if defined key_ldfslp || defined key_esopa |
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14 | !!---------------------------------------------------------------------- |
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15 | !! 'key_ldfslp' Rotation of lateral mixing tensor |
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16 | !!---------------------------------------------------------------------- |
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17 | !! ldf_slp_grif : calculates the triads of isoneutral slopes (Griffies operator) |
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18 | !! ldf_slp : calculates the slopes of neutral surface (Madec operator) |
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19 | !! ldf_slp_mxl : calculates the slopes at the base of the mixed layer (Madec operator) |
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20 | !! ldf_slp_init : initialization of the slopes computation |
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21 | !!---------------------------------------------------------------------- |
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22 | USE oce ! ocean dynamics and tracers |
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23 | USE dom_oce ! ocean space and time domain |
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24 | USE ldftra_oce ! lateral diffusion: traceur |
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25 | USE ldfdyn_oce ! lateral diffusion: dynamics |
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26 | USE phycst ! physical constants |
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27 | USE zdfmxl ! mixed layer depth |
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28 | USE eosbn2 ! equation of states |
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29 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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30 | USE in_out_manager ! I/O manager |
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31 | USE prtctl ! Print control |
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32 | |
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33 | IMPLICIT NONE |
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34 | PRIVATE |
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35 | |
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36 | PUBLIC ldf_slp ! routine called by step.F90 |
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37 | PUBLIC ldf_slp_grif ! routine called by step.F90 |
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38 | PUBLIC ldf_slp_init ! routine called by opa.F90 |
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39 | |
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40 | LOGICAL , PUBLIC, PARAMETER :: lk_ldfslp = .TRUE. !: slopes flag |
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41 | ! !! Madec operator |
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42 | REAL(wp), PUBLIC, DIMENSION(:,:,:) , ALLOCATABLE :: uslp, wslpi !: i_slope at U- and W-points |
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43 | REAL(wp), PUBLIC, DIMENSION(:,:,:) , ALLOCATABLE :: vslp, wslpj !: j-slope at V- and W-points |
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44 | ! !! Griffies operator |
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45 | REAL(wp), PUBLIC, DIMENSION(:,:,:) , ALLOCATABLE :: wslp2 !: wslp**2 from Griffies quarter cells |
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46 | REAL(wp), PUBLIC, DIMENSION(:,:,:,:,:), ALLOCATABLE :: triadi_g, triadj_g !: skew flux slopes relative to geopotentials |
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47 | REAL(wp), PUBLIC, DIMENSION(:,:,:,:,:), ALLOCATABLE :: triadi , triadj !: isoneutral slopes relative to model-coordinate |
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48 | |
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49 | ! !! Madec operator |
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50 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: omlmask ! mask of the surface mixed layer at T-pt |
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51 | REAL(wp), DIMENSION(:,:) , ALLOCATABLE :: uslpml, wslpiml ! i_slope at U- and W-points just below the mixed layer |
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52 | REAL(wp), DIMENSION(:,:) , ALLOCATABLE :: vslpml, wslpjml ! j_slope at V- and W-points just below the mixed layer |
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53 | |
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54 | REAL(wp) :: repsln = 1.e-25_wp ! tiny value used as minium of di(rho), dj(rho) and dk(rho) |
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55 | |
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56 | !! * Substitutions |
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57 | # include "domzgr_substitute.h90" |
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58 | # include "ldftra_substitute.h90" |
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59 | # include "ldfeiv_substitute.h90" |
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60 | # include "vectopt_loop_substitute.h90" |
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61 | !!---------------------------------------------------------------------- |
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62 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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63 | !! $Id$ |
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64 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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65 | !!---------------------------------------------------------------------- |
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66 | CONTAINS |
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67 | |
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68 | SUBROUTINE ldf_slp( kt, prd, pn2 ) |
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69 | !!---------------------------------------------------------------------- |
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70 | !! *** ROUTINE ldf_slp *** |
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71 | !! |
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72 | !! ** Purpose : Compute the slopes of neutral surface (slope of isopycnal |
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73 | !! surfaces referenced locally) (ln_traldf_iso=T). |
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74 | !! |
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75 | !! ** Method : The slope in the i-direction is computed at U- and |
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76 | !! W-points (uslp, wslpi) and the slope in the j-direction is |
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77 | !! computed at V- and W-points (vslp, wslpj). |
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78 | !! They are bounded by 1/100 over the whole ocean, and within the |
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79 | !! surface layer they are bounded by the distance to the surface |
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80 | !! ( slope<= depth/l where l is the length scale of horizontal |
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81 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
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82 | !! of 10cm/s) |
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83 | !! A horizontal shapiro filter is applied to the slopes |
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84 | !! ln_sco=T, s-coordinate, add to the previously computed slopes |
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85 | !! the slope of the model level surface. |
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86 | !! macro-tasked on horizontal slab (jk-loop) (2, jpk-1) |
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87 | !! [slopes already set to zero at level 1, and to zero or the ocean |
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88 | !! bottom slope (ln_sco=T) at level jpk in inildf] |
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89 | !! |
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90 | !! ** Action : - uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
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91 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
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92 | !!---------------------------------------------------------------------- |
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93 | USE oce , zgru => ua ! use ua as workspace |
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94 | USE oce , zgrv => va ! use va as workspace |
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95 | USE oce , zwy => ta ! use ta as workspace |
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96 | USE oce , zwz => sa ! use sa as workspace |
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97 | !! |
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98 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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99 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: prd ! in situ density |
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100 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pn2 ! Brunt-Vaisala frequency (locally ref.) |
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101 | !! |
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102 | INTEGER :: ji , jj , jk ! dummy loop indices |
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103 | INTEGER :: ii0, ii1, iku ! temporary integer |
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104 | INTEGER :: ij0, ij1, ikv ! temporary integer |
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105 | REAL(wp) :: zeps, zmg, zm05g, zalpha ! temporary scalars |
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106 | REAL(wp) :: zcoef1, zcoef2, zcoef3 ! - - |
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107 | REAL(wp) :: zcofu , zcofv , zcofw ! - - |
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108 | REAL(wp) :: zau, zbu, zai, zbi, z1u, z1wu ! - - |
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109 | REAL(wp) :: zav, zbv, zaj, zbj, z1v, z1wv ! |
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110 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zww ! 3D workspace |
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111 | !!---------------------------------------------------------------------- |
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112 | |
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113 | zeps = 1.e-20 ! Local constant initialization |
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114 | zmg = -1.0 / grav |
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115 | zm05g = -0.5 / grav |
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116 | ! |
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117 | zww(:,:,:) = 0.e0 |
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118 | zwz(:,:,:) = 0.e0 |
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119 | ! ! horizontal density gradient computation |
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120 | DO jk = 1, jpk |
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121 | DO jj = 1, jpjm1 |
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122 | DO ji = 1, fs_jpim1 ! vector opt. |
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123 | zgru(ji,jj,jk) = umask(ji,jj,jk) * ( prd(ji+1,jj ,jk) - prd(ji,jj,jk) ) |
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124 | zgrv(ji,jj,jk) = vmask(ji,jj,jk) * ( prd(ji ,jj+1,jk) - prd(ji,jj,jk) ) |
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125 | END DO |
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126 | END DO |
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127 | END DO |
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128 | IF( ln_zps ) THEN ! partial steps correction at the bottom ocean level |
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129 | # if defined key_vectopt_loop |
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130 | DO jj = 1, 1 |
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131 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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132 | # else |
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133 | DO jj = 1, jpjm1 |
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134 | DO ji = 1, jpim1 |
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135 | # endif |
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136 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 ! last ocean level |
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137 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
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138 | zgru(ji,jj,iku) = gru(ji,jj) |
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139 | zgrv(ji,jj,ikv) = grv(ji,jj) |
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140 | END DO |
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141 | END DO |
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142 | ENDIF |
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143 | |
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144 | CALL ldf_slp_mxl( prd, pn2 ) ! Slopes of isopycnal surfaces just below the mixed layer |
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145 | |
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146 | |
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147 | ! I. slopes at u and v point | uslp = d/di( prd ) / d/dz( prd ) |
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148 | ! =========================== | vslp = d/dj( prd ) / d/dz( prd ) |
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149 | ! |
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150 | ! !* Local vertical density gradient evaluated from N^2 |
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151 | DO jk = 2, jpkm1 ! zwy = d/dz(prd)= - ( prd ) / grav * mk(pn2) -- at t point |
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152 | DO jj = 1, jpj |
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153 | DO ji = 1, jpi |
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154 | zwy(ji,jj,jk) = zmg * ( prd(ji,jj,jk) + 1. ) * ( pn2 (ji,jj,jk) + pn2 (ji,jj,jk+1) ) & |
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155 | & / MAX( tmask(ji,jj,jk) + tmask(ji,jj,jk+1), 1. ) |
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156 | END DO |
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157 | END DO |
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158 | END DO |
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159 | DO jk = 2, jpkm1 !* Slopes at u and v points |
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160 | DO jj = 2, jpjm1 |
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161 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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162 | ! horizontal and vertical density gradient at u- and v-points |
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163 | zau = 1. / e1u(ji,jj) * zgru(ji,jj,jk) |
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164 | zav = 1. / e2v(ji,jj) * zgrv(ji,jj,jk) |
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165 | zbu = 0.5 * ( zwy(ji,jj,jk) + zwy(ji+1,jj ,jk) ) |
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166 | zbv = 0.5 * ( zwy(ji,jj,jk) + zwy(ji ,jj+1,jk) ) |
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167 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
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168 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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169 | zbu = MIN( zbu, -100.*ABS( zau ), -7.e+3/fse3u(ji,jj,jk)*ABS( zau ) ) |
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170 | zbv = MIN( zbv, -100.*ABS( zav ), -7.e+3/fse3v(ji,jj,jk)*ABS( zav ) ) |
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171 | ! uslp and vslp output in zwz and zww, resp. |
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172 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji+1,jj,jk) ) |
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173 | zwz (ji,jj,jk) = ( ( 1. - zalpha) * zau / ( zbu - zeps ) & |
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174 | & + zalpha * uslpml(ji,jj) & |
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175 | & * 0.5 * ( fsdept(ji+1,jj,jk)+fsdept(ji,jj,jk)-fse3u(ji,jj,1) ) & |
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176 | & / MAX( hmlpt(ji,jj), hmlpt(ji+1,jj), 5. ) ) * umask(ji,jj,jk) |
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177 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji,jj+1,jk) ) |
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178 | zww (ji,jj,jk) = ( ( 1. - zalpha) * zav / ( zbv - zeps ) & |
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179 | & + zalpha * vslpml(ji,jj) & |
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180 | & * 0.5 * ( fsdept(ji,jj+1,jk)+fsdept(ji,jj,jk)-fse3v(ji,jj,1) ) & |
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181 | & / MAX( hmlpt(ji,jj), hmlpt(ji,jj+1), 5. ) ) * vmask(ji,jj,jk) |
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182 | END DO |
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183 | END DO |
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184 | END DO |
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185 | CALL lbc_lnk( zwz, 'U', -1. ) ; CALL lbc_lnk( zww, 'V', -1. ) ! lateral boundary conditions |
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186 | ! |
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187 | zcofu = 1. / 16. !* horizontal Shapiro filter |
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188 | zcofv = 1. / 16. |
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189 | DO jk = 2, jpkm1 |
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190 | DO jj = 2, jpjm1, jpj-3 ! rows jj=2 and =jpjm1 only |
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191 | DO ji = 2, jpim1 |
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192 | uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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193 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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194 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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195 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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196 | & + 4.* zwz(ji ,jj ,jk) ) |
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197 | vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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198 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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199 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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200 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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201 | & + 4.* zww(ji,jj ,jk) ) |
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202 | END DO |
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203 | END DO |
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204 | DO jj = 3, jpj-2 ! other rows |
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205 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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206 | uslp(ji,jj,jk) = zcofu * ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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207 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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208 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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209 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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210 | & + 4.* zwz(ji ,jj ,jk) ) |
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211 | vslp(ji,jj,jk) = zcofv * ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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212 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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213 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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214 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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215 | & + 4.* zww(ji,jj ,jk) ) |
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216 | END DO |
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217 | END DO |
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218 | ! !* decrease along coastal boundaries |
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219 | DO jj = 2, jpjm1 |
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220 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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221 | z1u = ( umask(ji,jj+1,jk) + umask(ji,jj-1,jk) )*.5 |
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222 | z1v = ( vmask(ji+1,jj,jk) + vmask(ji-1,jj,jk) )*.5 |
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223 | z1wu = ( umask(ji,jj,jk) + umask(ji,jj,jk+1) )*.5 |
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224 | z1wv = ( vmask(ji,jj,jk) + vmask(ji,jj,jk+1) )*.5 |
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225 | uslp(ji,jj,jk) = uslp(ji,jj,jk) * z1u * z1wu |
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226 | vslp(ji,jj,jk) = vslp(ji,jj,jk) * z1v * z1wv |
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227 | END DO |
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228 | END DO |
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229 | END DO |
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230 | |
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231 | |
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232 | ! II. slopes at w point | wslpi = mij( d/di( prd ) / d/dz( prd ) |
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233 | ! =========================== | wslpj = mij( d/dj( prd ) / d/dz( prd ) |
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234 | ! |
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235 | ! !* Local vertical density gradient evaluated from N^2 |
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236 | DO jk = 2, jpkm1 ! zwy = d/dz(prd)= - mk ( prd ) / grav * pn2 -- at w point |
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237 | DO jj = 1, jpj |
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238 | DO ji = 1, jpi |
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239 | zwy(ji,jj,jk) = zm05g * pn2 (ji,jj,jk) * ( prd (ji,jj,jk) + prd (ji,jj,jk-1) + 2. ) |
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240 | END DO |
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241 | END DO |
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242 | END DO |
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243 | DO jk = 2, jpkm1 !* Slopes at w point |
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244 | DO jj = 2, jpjm1 |
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245 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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246 | ! ! horizontal density i-gradient at w-points |
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247 | zcoef1 = MAX( zeps, umask(ji-1,jj,jk )+umask(ji,jj,jk ) & |
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248 | & +umask(ji-1,jj,jk-1)+umask(ji,jj,jk-1) ) |
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249 | zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) |
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250 | zai = zcoef1 * ( zgru(ji ,jj,jk ) + zgru(ji ,jj,jk-1) & |
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251 | & + zgru(ji-1,jj,jk-1) + zgru(ji-1,jj,jk ) ) * tmask (ji,jj,jk) |
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252 | ! ! horizontal density j-gradient at w-points |
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253 | zcoef2 = MAX( zeps, vmask(ji,jj-1,jk )+vmask(ji,jj,jk-1) & |
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254 | & +vmask(ji,jj-1,jk-1)+vmask(ji,jj,jk ) ) |
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255 | zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) |
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256 | zaj = zcoef2 * ( zgrv(ji,jj ,jk ) + zgrv(ji,jj ,jk-1) & |
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257 | & + zgrv(ji,jj-1,jk-1) + zgrv(ji,jj-1,jk ) ) * tmask (ji,jj,jk) |
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258 | ! ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
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259 | ! ! static instability: kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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260 | zbi = MIN( zwy (ji,jj,jk),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,jk)*ABS(zai) ) |
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261 | zbj = MIN( zwy (ji,jj,jk), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,jk)*ABS(zaj) ) |
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262 | ! ! wslpi and wslpj output in zwz and zww, resp. |
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263 | zalpha = MAX( omlmask(ji,jj,jk), omlmask(ji,jj,jk-1) ) |
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264 | zcoef3 = fsdepw(ji,jj,jk) / MAX( hmlp(ji,jj), 10. ) |
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265 | zwz(ji,jj,jk) = ( zai / ( zbi - zeps) * ( 1. - zalpha ) & |
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266 | & + zcoef3 * wslpiml(ji,jj) * zalpha ) * tmask (ji,jj,jk) |
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267 | zww(ji,jj,jk) = ( zaj / ( zbj - zeps) * ( 1. - zalpha ) & |
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268 | & + zcoef3 * wslpjml(ji,jj) * zalpha ) * tmask (ji,jj,jk) |
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269 | END DO |
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270 | END DO |
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271 | END DO |
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272 | CALL lbc_lnk( zwz, 'T', -1. ) ; CALL lbc_lnk( zww, 'T', -1. ) ! lateral boundary conditions on zwz and zww |
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273 | ! |
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274 | ! !* horizontal Shapiro filter |
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275 | DO jk = 2, jpkm1 |
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276 | DO jj = 2, jpjm1, jpj-3 ! rows jj=2 and =jpjm1 |
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277 | DO ji = 2, jpim1 |
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278 | zcofw = tmask(ji,jj,jk) / 16. |
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279 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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280 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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281 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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282 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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283 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
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284 | |
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285 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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286 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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287 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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288 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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289 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
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290 | END DO |
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291 | END DO |
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292 | DO jj = 3, jpj-2 ! other rows |
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293 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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294 | zcofw = tmask(ji,jj,jk) / 16. |
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295 | wslpi(ji,jj,jk) = ( zwz(ji-1,jj-1,jk) + zwz(ji+1,jj-1,jk) & |
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296 | & + zwz(ji-1,jj+1,jk) + zwz(ji+1,jj+1,jk) & |
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297 | & + 2.*( zwz(ji ,jj-1,jk) + zwz(ji-1,jj ,jk) & |
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298 | & + zwz(ji+1,jj ,jk) + zwz(ji ,jj+1,jk) ) & |
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299 | & + 4.* zwz(ji ,jj ,jk) ) * zcofw |
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300 | |
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301 | wslpj(ji,jj,jk) = ( zww(ji-1,jj-1,jk) + zww(ji+1,jj-1,jk) & |
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302 | & + zww(ji-1,jj+1,jk) + zww(ji+1,jj+1,jk) & |
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303 | & + 2.*( zww(ji ,jj-1,jk) + zww(ji-1,jj ,jk) & |
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304 | & + zww(ji+1,jj ,jk) + zww(ji ,jj+1,jk) ) & |
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305 | & + 4.* zww(ji ,jj ,jk) ) * zcofw |
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306 | END DO |
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307 | END DO |
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308 | ! !* decrease along coastal boundaries |
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309 | DO jj = 2, jpjm1 |
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310 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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311 | z1u = ( umask(ji,jj,jk) + umask(ji-1,jj,jk) ) *.5 |
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312 | z1v = ( vmask(ji,jj,jk) + vmask(ji,jj-1,jk) ) *.5 |
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313 | wslpi(ji,jj,jk) = wslpi(ji,jj,jk) * z1u * z1v |
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314 | wslpj(ji,jj,jk) = wslpj(ji,jj,jk) * z1u * z1v |
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315 | END DO |
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316 | END DO |
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317 | END DO |
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318 | |
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319 | ! III. Specific grid points |
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320 | ! =========================== |
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321 | ! |
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322 | IF( cp_cfg == "orca" .AND. jp_cfg == 4 ) THEN ! ORCA_R4 configuration: horizontal diffusion in specific area |
---|
323 | ! ! Gibraltar Strait |
---|
324 | ij0 = 50 ; ij1 = 53 |
---|
325 | ii0 = 69 ; ii1 = 71 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
---|
326 | ij0 = 51 ; ij1 = 53 |
---|
327 | ii0 = 68 ; ii1 = 71 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
---|
328 | ii0 = 69 ; ii1 = 71 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
---|
329 | ii0 = 69 ; ii1 = 71 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
---|
330 | ! |
---|
331 | ! ! Mediterrannean Sea |
---|
332 | ij0 = 49 ; ij1 = 56 |
---|
333 | ii0 = 71 ; ii1 = 90 ; uslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
---|
334 | ij0 = 50 ; ij1 = 56 |
---|
335 | ii0 = 70 ; ii1 = 90 ; vslp ( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
---|
336 | ii0 = 71 ; ii1 = 90 ; wslpi( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
---|
337 | ii0 = 71 ; ii1 = 90 ; wslpj( mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) , : ) = 0.e0 |
---|
338 | ENDIF |
---|
339 | |
---|
340 | |
---|
341 | ! IV. Lateral boundary conditions |
---|
342 | ! =============================== |
---|
343 | CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) |
---|
344 | CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) |
---|
345 | |
---|
346 | |
---|
347 | IF(ln_ctl) THEN |
---|
348 | CALL prt_ctl(tab3d_1=uslp , clinfo1=' slp - u : ', tab3d_2=vslp, clinfo2=' v : ', kdim=jpk) |
---|
349 | CALL prt_ctl(tab3d_1=wslpi, clinfo1=' slp - wi: ', tab3d_2=wslpj, clinfo2=' wj: ', kdim=jpk) |
---|
350 | ENDIF |
---|
351 | ! |
---|
352 | END SUBROUTINE ldf_slp |
---|
353 | |
---|
354 | |
---|
355 | SUBROUTINE ldf_slp_grif ( kt ) |
---|
356 | !!---------------------------------------------------------------------- |
---|
357 | !! *** ROUTINE ldf_slp_grif *** |
---|
358 | !! |
---|
359 | !! ** Purpose : Compute the squared slopes of neutral surfaces (slope |
---|
360 | !! of iso-pycnal surfaces referenced locally) (ln_traldf_grif=T) |
---|
361 | !! at W-points using the Griffies quarter-cells. |
---|
362 | !! |
---|
363 | !! ** Method : calculates alpha and beta at T-points |
---|
364 | !! |
---|
365 | !! ** Action : - triadi_g, triadj_g T-pts i- and j-slope triads relative to geopot. (used for eiv) |
---|
366 | !! - triadi , triadj T-pts i- and j-slope triads relative to model-coordinate |
---|
367 | !! - wslp2 squared slope of neutral surfaces at w-points. |
---|
368 | !!---------------------------------------------------------------------- |
---|
369 | USE oce, zdit => ua ! use ua as workspace |
---|
370 | USE oce, zdis => va ! use va as workspace |
---|
371 | USE oce, zdjt => ta ! use ta as workspace |
---|
372 | USE oce, zdjs => sa ! use sa as workspace |
---|
373 | !! |
---|
374 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
375 | !! |
---|
376 | INTEGER :: ji, jj, jk, jl, ip, jp, kp ! dummy loop indices |
---|
377 | INTEGER :: iku, ikv ! temporary integer |
---|
378 | REAL(wp) :: zfacti, zfactj, zatempw,zatempu,zatempv ! local scalars |
---|
379 | REAL(wp) :: zbu, zbv, zbti, zbtj |
---|
380 | REAL(wp) :: zdxrho_raw, zti_coord, zti_raw, zti_lim, zti_lim2, zti_g_raw, zti_g_lim |
---|
381 | REAL(wp) :: zdyrho_raw, ztj_coord, ztj_raw, ztj_lim, ztj_lim2, ztj_g_raw, ztj_g_lim |
---|
382 | REAL(wp) :: zdzrho_raw |
---|
383 | REAL(wp), DIMENSION(jpi,jpj,jpk,0:1) :: zdzrho, zdyrho, zdxrho ! Horizontal and vertical density gradients |
---|
384 | REAL(wp), DIMENSION(jpi,jpj,0:1,0:1) :: zti_mlb, ztj_mlb |
---|
385 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdkt, zdks |
---|
386 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zalpha, zbeta ! alpha, beta at T points, at depth fsgdept |
---|
387 | REAL(wp), DIMENSION(jpi,jpj) :: z1_mlbw |
---|
388 | !!---------------------------------------------------------------------- |
---|
389 | |
---|
390 | !--------------------------------! |
---|
391 | ! Some preliminary calculation ! |
---|
392 | !--------------------------------! |
---|
393 | ! |
---|
394 | CALL eos_alpbet( tsb, zalpha, zbeta ) !== before thermal and haline expension coeff. at T-points ==! |
---|
395 | ! |
---|
396 | DO jk = 1, jpkm1 !== before lateral T & S gradients at T-level jk ==! |
---|
397 | DO jj = 1, jpjm1 |
---|
398 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
399 | 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 |
---|
400 | zdis(ji,jj,jk) = ( sb(ji+1,jj,jk) - sb(ji,jj,jk) ) * umask(ji,jj,jk) |
---|
401 | 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 |
---|
402 | zdjs(ji,jj,jk) = ( sb(ji,jj+1,jk) - sb(ji,jj,jk) ) * vmask(ji,jj,jk) |
---|
403 | END DO |
---|
404 | END DO |
---|
405 | END DO |
---|
406 | IF( ln_zps ) THEN ! partial steps: correction at the last level |
---|
407 | # if defined key_vectopt_loop |
---|
408 | DO jj = 1, 1 |
---|
409 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
---|
410 | # else |
---|
411 | DO jj = 1, jpjm1 |
---|
412 | DO ji = 1, jpim1 |
---|
413 | # endif |
---|
414 | iku = MAX( MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1, 2 ) ! last ocean level |
---|
415 | ikv = MAX( MIN( mbathy(ji,jj), mbathy(ji,jj+1 ) ) - 1, 2 ) |
---|
416 | zdit (ji,jj,iku) = gtsu(ji,jj,jp_tem) ! i-gradient of T and S |
---|
417 | zdis (ji,jj,iku) = gtsu(ji,jj,jp_sal) |
---|
418 | zdjt (ji,jj,ikv) = gtsv(ji,jj,jp_tem) ! j-gradient of T and S |
---|
419 | zdjs (ji,jj,ikv) = gtsv(ji,jj,jp_sal) |
---|
420 | END DO |
---|
421 | END DO |
---|
422 | ENDIF |
---|
423 | ! |
---|
424 | zdkt(:,:,1) = 0._wp !== before vertical T & S gradient at w-level ==! |
---|
425 | zdks(:,:,1) = 0._wp |
---|
426 | DO jk = 2, jpk |
---|
427 | zdkt(:,:,jk) = ( tb(:,:,jk-1) - tb(:,:,jk) ) * tmask(:,:,jk) |
---|
428 | zdks(:,:,jk) = ( sb(:,:,jk-1) - sb(:,:,jk) ) * tmask(:,:,jk) |
---|
429 | END DO |
---|
430 | ! |
---|
431 | ! |
---|
432 | DO jl = 0, 1 !== density i-, j-, and k-gradients ==! |
---|
433 | ip = jl ; jp = jl ! guaranteed nonzero gradients ( absolute value larger than repsln) |
---|
434 | DO jk = 1, jpkm1 ! done each pair of triad |
---|
435 | DO jj = 1, jpjm1 ! NB: not masked due to the minimum value set |
---|
436 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
437 | zdxrho_raw = ( zalpha(ji+ip,jj ,jk) * zdit(ji,jj,jk) + zbeta(ji+ip,jj ,jk) * zdis(ji,jj,jk) ) / e1u(ji,jj) |
---|
438 | zdyrho_raw = ( zalpha(ji ,jj+jp,jk) * zdjt(ji,jj,jk) + zbeta(ji ,jj+jp,jk) * zdjs(ji,jj,jk) ) / e2v(ji,jj) |
---|
439 | zdxrho(ji+ip,jj ,jk,1-ip) = SIGN( MAX( repsln, ABS( zdxrho_raw ) ), zdxrho_raw ) ! keep the sign |
---|
440 | zdyrho(ji ,jj+jp,jk,1-jp) = SIGN( MAX( repsln, ABS( zdyrho_raw ) ), zdyrho_raw ) |
---|
441 | END DO |
---|
442 | END DO |
---|
443 | END DO |
---|
444 | END DO |
---|
445 | DO kp = 0, 1 !== density i-, j-, and k-gradients ==! |
---|
446 | DO jk = 1, jpkm1 ! done each pair of triad |
---|
447 | DO jj = 1, jpj ! NB: not masked due to the minimum value set |
---|
448 | DO ji = 1, jpi ! vector opt. |
---|
449 | zdzrho_raw = ( zalpha(ji,jj,jk) * zdkt(ji,jj,jk+kp) + zbeta(ji,jj,jk) * zdks(ji,jj,jk+kp) ) & |
---|
450 | & / fse3w(ji,jj,jk+kp) |
---|
451 | zdzrho(ji ,jj ,jk, kp) = - MIN( - repsln, zdzrho_raw ) ! force zdzrho >= repsln |
---|
452 | END DO |
---|
453 | END DO |
---|
454 | END DO |
---|
455 | END DO |
---|
456 | ! |
---|
457 | DO jj = 1, jpj !== Reciprocal depth of the w-point below ML base ==! |
---|
458 | DO ji = 1, jpi ! i.e. 1 / (hmld+e3t(nmln)) where hmld=depw(nmln) |
---|
459 | jk = MIN( nmln(ji,jj), mbathy(ji,jj) - 1 ) + 1 ! MIN in case ML depth is the ocean depth |
---|
460 | z1_mlbw(ji,jj) = 1._wp / fsdepw(ji,jj,jk) |
---|
461 | END DO |
---|
462 | END DO |
---|
463 | ! |
---|
464 | ! !== intialisations to zero ==! |
---|
465 | ! |
---|
466 | wslp2 (:,:,:) = 0._wp ! wslp2 will be cumulated 3D field set to zero |
---|
467 | triadi_g(:,:,1,:,:) = 0._wp ; triadi_g(:,:,jpk,:,:) = 0._wp ! set surface and bottom slope to zero |
---|
468 | triadj_g(:,:,1,:,:) = 0._wp ; triadj_g(:,:,jpk,:,:) = 0._wp |
---|
469 | !!gm _iso set to zero missing |
---|
470 | triadi (:,:,1,:,:) = 0._wp ; triadj (:,:,jpk,:,:) = 0._wp ! set surface and bottom slope to zero |
---|
471 | triadj (:,:,1,:,:) = 0._wp ; triadj (:,:,jpk,:,:) = 0._wp |
---|
472 | |
---|
473 | !-------------------------------------! |
---|
474 | ! Triads just below the Mixed Layer ! |
---|
475 | !-------------------------------------! |
---|
476 | ! |
---|
477 | DO jl = 0, 1 ! calculate slope of the 4 triads immediately ONE level below mixed-layer base |
---|
478 | DO kp = 0, 1 ! with only the slope-max limit and MASKED |
---|
479 | DO jj = 1, jpjm1 |
---|
480 | DO ji = 1, fs_jpim1 |
---|
481 | ip = jl ; jp = jl |
---|
482 | jk = MIN( nmln(ji+ip,jj), mbathy(ji+ip,jj) - 1 ) + 1 ! ML level+1 (MIN in case ML depth is the ocean depth) |
---|
483 | zti_g_raw = ( zdxrho(ji+ip,jj,jk-kp,1-ip) / zdzrho(ji+ip,jj,jk-kp,kp) & |
---|
484 | & + ( fsdept(ji+1,jj,jk-kp) - fsdept(ji,jj,jk-kp) ) / e1u(ji,jj) ) * umask(ji,jj,jk) |
---|
485 | jk = MIN( nmln(ji,jj+jp), mbathy(ji,jj+jp) - 1 ) + 1 |
---|
486 | ztj_g_raw = ( zdyrho(ji,jj+jp,jk-kp,1-jp) / zdzrho(ji,jj+jp,jk-kp,kp) & |
---|
487 | & + ( fsdept(ji,jj+1,jk-kp) - fsdept(ji,jj,jk-kp) ) / e2v(ji,jj) ) * vmask(ji,jj,jk) |
---|
488 | zti_mlb(ji+ip,jj ,1-ip,kp) = SIGN( MIN( rn_slpmax, ABS( zti_g_raw ) ), zti_g_raw ) |
---|
489 | ztj_mlb(ji ,jj+jp,1-jp,kp) = SIGN( MIN( rn_slpmax, ABS( ztj_g_raw ) ), ztj_g_raw ) |
---|
490 | END DO |
---|
491 | END DO |
---|
492 | END DO |
---|
493 | END DO |
---|
494 | |
---|
495 | !-------------------------------------! |
---|
496 | ! Triads with surface limits ! |
---|
497 | !-------------------------------------! |
---|
498 | ! |
---|
499 | DO kp = 0, 1 ! k-index of triads |
---|
500 | DO jl = 0, 1 |
---|
501 | ip = jl ; jp = jl ! i- and j-indices of triads (i-k and j-k planes) |
---|
502 | DO jk = 1, jpkm1 |
---|
503 | DO jj = 1, jpjm1 |
---|
504 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
505 | ! |
---|
506 | ! Calculate slope relative to geopotentials used for GM skew fluxes |
---|
507 | ! For s-coordinate, subtract slope at t-points (equivalent to *adding* gradient of depth) |
---|
508 | ! Limit by slope *relative to geopotentials* by rn_slpmax, and mask by psi-point |
---|
509 | ! masked by umask taken at the level of dz(rho) |
---|
510 | ! |
---|
511 | ! raw slopes: unmasked unbounded slopes (relative to geopotential (zti_g) and model surface (zti) |
---|
512 | ! |
---|
513 | zti_raw = zdxrho(ji+ip,jj ,jk,1-ip) / zdzrho(ji+ip,jj ,jk,kp) ! unmasked |
---|
514 | ztj_raw = zdyrho(ji ,jj+jp,jk,1-jp) / zdzrho(ji ,jj+jp,jk,kp) |
---|
515 | zti_coord = ( fsdept(ji+1,jj ,jk) - fsdept(ji,jj,jk) ) / e1u(ji,jj) |
---|
516 | ztj_coord = ( fsdept(ji ,jj+1,jk) - fsdept(ji,jj,jk) ) / e2v(ji,jj) |
---|
517 | ! unmasked |
---|
518 | zti_g_raw = zti_raw + zti_coord ! ref to geopot surfaces |
---|
519 | ztj_g_raw = ztj_raw + ztj_coord |
---|
520 | zti_g_lim = SIGN( MIN( rn_slpmax, ABS( zti_g_raw ) ), zti_g_raw ) |
---|
521 | ztj_g_lim = SIGN( MIN( rn_slpmax, ABS( ztj_g_raw ) ), ztj_g_raw ) |
---|
522 | ! |
---|
523 | ! Below ML use limited zti_g as is |
---|
524 | ! Inside ML replace by linearly reducing sx_mlb towards surface |
---|
525 | ! |
---|
526 | 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 |
---|
527 | zfactj = REAL( 1 - 1/(1 + (jk+kp-1)/nmln(ji,jj+jp)), wp ) ! must be .ge. nmln(ji,jj) for zfact=1 |
---|
528 | ! ! otherwise zfact=0 |
---|
529 | zti_g_lim = zfacti * zti_g_lim & |
---|
530 | & + ( 1._wp - zfacti ) * zti_mlb(ji+ip,jj,1-ip,kp) & |
---|
531 | & * fsdepw(ji+ip,jj,jk+kp) * z1_mlbw(ji+ip,jj) |
---|
532 | ztj_g_lim = zfactj * ztj_g_lim & |
---|
533 | & + ( 1._wp - zfactj ) * ztj_mlb(ji,jj+jp,1-jp,kp) & |
---|
534 | & * fsdepw(ji,jj+jp,jk+kp) * z1_mlbw(ji,jj+jp) ! masked |
---|
535 | ! |
---|
536 | triadi_g(ji+ip,jj ,jk,1-ip,kp) = zti_g_lim * umask(ji,jj,jk+kp) |
---|
537 | triadj_g(ji ,jj+jp,jk,1-jp,kp) = ztj_g_lim * vmask(ji,jj,jk+kp) |
---|
538 | ! |
---|
539 | ! Get coefficients of isoneutral diffusion tensor |
---|
540 | ! 1. Utilise gradients *relative* to s-coordinate, so add t-point slopes (*subtract* depth gradients) |
---|
541 | ! 2. We require that isoneutral diffusion gives no vertical buoyancy flux |
---|
542 | ! i.e. 33 term = (real slope* 31, 13 terms) |
---|
543 | ! To do this, retain limited sx**2 in vertical flux, but divide by real slope for 13/31 terms |
---|
544 | ! Equivalent to tapering A_iso = sx_limited**2/(real slope)**2 |
---|
545 | ! |
---|
546 | zti_lim = zti_g_lim - zti_coord ! remove the coordinate slope ==> relative to coordinate surfaces |
---|
547 | ztj_lim = ztj_g_lim - ztj_coord |
---|
548 | zti_lim2 = zti_lim * zti_lim * umask(ji,jj,jk+kp) ! square of limited slopes ! masked <<== |
---|
549 | ztj_lim2 = ztj_lim * ztj_lim * vmask(ji,jj,jk+kp) |
---|
550 | ! |
---|
551 | zbu = e1u(ji ,jj) * e2u(ji ,jj) * fse3u(ji ,jj,jk ) |
---|
552 | zbv = e1v(ji ,jj) * e2v(ji ,jj) * fse3v(ji ,jj,jk ) |
---|
553 | zbti = e1t(ji+ip,jj) * e2t(ji+ip,jj) * fse3w(ji+ip,jj,jk+kp) |
---|
554 | zbtj = e1t(ji,jj+jp) * e2t(ji,jj+jp) * fse3w(ji,jj+jp,jk+kp) |
---|
555 | ! |
---|
556 | triadi(ji+ip,jj ,jk,1-ip,kp) = zti_lim2 / zti_raw ! masked |
---|
557 | triadj(ji ,jj+jp,jk,1-jp,kp) = ztj_lim2 / ztj_raw |
---|
558 | ! |
---|
559 | !!gm this may inhibit vectorization on Vect Computers, and even on scalar computers.... ==> to be checked |
---|
560 | wslp2 (ji+ip,jj,jk+kp) = wslp2(ji+ip,jj,jk+kp) + 0.25_wp * zbu / zbti * zti_lim2 ! masked |
---|
561 | wslp2 (ji,jj+jp,jk+kp) = wslp2(ji,jj+jp,jk+kp) + 0.25_wp * zbv / zbtj * ztj_lim2 |
---|
562 | END DO |
---|
563 | END DO |
---|
564 | END DO |
---|
565 | END DO |
---|
566 | END DO |
---|
567 | ! |
---|
568 | wslp2(:,:,1) = 0._wp ! force the surface wslp to zero |
---|
569 | |
---|
570 | CALL lbc_lnk( wslp2, 'W', 1. ) ! lateral boundary confition on wslp2 only ==>>> gm : necessary ? to be checked |
---|
571 | ! |
---|
572 | END SUBROUTINE ldf_slp_grif |
---|
573 | |
---|
574 | |
---|
575 | SUBROUTINE ldf_slp_mxl( prd, pn2 ) |
---|
576 | !!---------------------------------------------------------------------- |
---|
577 | !! *** ROUTINE ldf_slp_mxl *** |
---|
578 | !! |
---|
579 | !! ** Purpose : Compute the slopes of iso-neutral surface just below |
---|
580 | !! the mixed layer. |
---|
581 | !! |
---|
582 | !! ** Method : |
---|
583 | !! The slope in the i-direction is computed at u- and w-points |
---|
584 | !! (uslp, wslpi) and the slope in the j-direction is computed at |
---|
585 | !! v- and w-points (vslp, wslpj). |
---|
586 | !! They are bounded by 1/100 over the whole ocean, and within the |
---|
587 | !! surface layer they are bounded by the distance to the surface |
---|
588 | !! ( slope<= depth/l where l is the length scale of horizontal |
---|
589 | !! diffusion (here, aht=2000m2/s ==> l=20km with a typical velocity |
---|
590 | !! of 10cm/s) |
---|
591 | !! |
---|
592 | !! ** Action : Compute uslp, wslpi, and vslp, wslpj, the i- and j-slopes |
---|
593 | !! of now neutral surfaces at u-, w- and v- w-points, resp. |
---|
594 | !!---------------------------------------------------------------------- |
---|
595 | USE oce , zgru => ua ! ua, va used as workspace and set to hor. |
---|
596 | USE oce , zgrv => va ! density gradient in ldf_slp |
---|
597 | !! |
---|
598 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in) :: prd ! in situ density |
---|
599 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in) :: pn2 ! Brunt-Vaisala frequency (locally ref.) |
---|
600 | !! |
---|
601 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
602 | INTEGER :: ik, ikm1 ! temporary integers |
---|
603 | REAL(wp) :: zeps, zmg, zm05g ! temporary scalars |
---|
604 | REAL(wp) :: zcoef1, zcoef2 ! - - |
---|
605 | REAL(wp) :: zau, zbu, zai, zbi ! - - |
---|
606 | REAL(wp) :: zav, zbv, zaj, zbj ! - - |
---|
607 | REAL(wp), DIMENSION(jpi,jpj) :: zwy ! 2D workspace |
---|
608 | !!---------------------------------------------------------------------- |
---|
609 | |
---|
610 | zeps = 1.e-20 ! Local constant initialization |
---|
611 | zmg = -1.0 / grav |
---|
612 | zm05g = -0.5 / grav |
---|
613 | ! |
---|
614 | uslpml (1,:) = 0.e0 ; uslpml (jpi,:) = 0.e0 |
---|
615 | vslpml (1,:) = 0.e0 ; vslpml (jpi,:) = 0.e0 |
---|
616 | wslpiml(1,:) = 0.e0 ; wslpiml(jpi,:) = 0.e0 |
---|
617 | wslpjml(1,:) = 0.e0 ; wslpjml(jpi,:) = 0.e0 |
---|
618 | |
---|
619 | ! ! surface mixed layer mask |
---|
620 | DO jk = 1, jpk ! =1 inside the mixed layer, =0 otherwise |
---|
621 | # if defined key_vectopt_loop |
---|
622 | DO jj = 1, 1 |
---|
623 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
---|
624 | # else |
---|
625 | DO jj = 1, jpj |
---|
626 | DO ji = 1, jpi |
---|
627 | # endif |
---|
628 | ik = nmln(ji,jj) - 1 |
---|
629 | IF( jk <= ik ) THEN ; omlmask(ji,jj,jk) = 1.e0 |
---|
630 | ELSE ; omlmask(ji,jj,jk) = 0.e0 |
---|
631 | ENDIF |
---|
632 | END DO |
---|
633 | END DO |
---|
634 | END DO |
---|
635 | |
---|
636 | |
---|
637 | ! Slopes of isopycnal surfaces just before bottom of mixed layer |
---|
638 | ! -------------------------------------------------------------- |
---|
639 | ! The slope are computed as in the 3D case. |
---|
640 | ! A key point here is the definition of the mixed layer at u- and v-points. |
---|
641 | ! It is assumed to be the maximum of the two neighbouring T-point mixed layer depth. |
---|
642 | ! Otherwise, a n2 value inside the mixed layer can be involved in the computation |
---|
643 | ! of the slope, resulting in a too steep diagnosed slope and thus a spurious eddy |
---|
644 | ! induce velocity field near the base of the mixed layer. |
---|
645 | !----------------------------------------------------------------------- |
---|
646 | ! |
---|
647 | zwy(:,jpj) = 0.e0 !* vertical density gradient for u-slope (from N^2) |
---|
648 | zwy(jpi,:) = 0.e0 |
---|
649 | # if defined key_vectopt_loop |
---|
650 | DO jj = 1, 1 |
---|
651 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
---|
652 | # else |
---|
653 | DO jj = 1, jpjm1 |
---|
654 | DO ji = 1, jpim1 |
---|
655 | # endif |
---|
656 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) ! avoid spurious recirculation |
---|
657 | ik = MIN( ik, jpkm1 ) ! if ik = jpk take jpkm1 values |
---|
658 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) * ( pn2 (ji,jj,ik) + pn2 (ji,jj,ik+1) ) & |
---|
659 | & / MAX( tmask(ji,jj,ik) + tmask(ji,jj,ik+1), 1. ) |
---|
660 | END DO |
---|
661 | END DO |
---|
662 | CALL lbc_lnk( zwy, 'U', 1. ) ! lateral boundary conditions NO sign change |
---|
663 | |
---|
664 | ! !* Slope at u points |
---|
665 | # if defined key_vectopt_loop |
---|
666 | DO jj = 1, 1 |
---|
667 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
---|
668 | # else |
---|
669 | DO jj = 2, jpjm1 |
---|
670 | DO ji = 2, jpim1 |
---|
671 | # endif |
---|
672 | ! horizontal and vertical density gradient at u-points |
---|
673 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) |
---|
674 | ik = MIN( ik, jpkm1 ) |
---|
675 | zau = 1./ e1u(ji,jj) * zgru(ji,jj,ik) |
---|
676 | zbu = 0.5*( zwy(ji,jj) + zwy(ji+1,jj) ) |
---|
677 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
---|
678 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
---|
679 | zbu = MIN( zbu, -100.*ABS(zau), -7.e+3/fse3u(ji,jj,ik)*ABS(zau) ) |
---|
680 | ! uslpml |
---|
681 | uslpml (ji,jj) = zau / ( zbu - zeps ) * umask (ji,jj,ik) |
---|
682 | END DO |
---|
683 | END DO |
---|
684 | CALL lbc_lnk( uslpml, 'U', -1. ) ! lateral boundary conditions (i-gradient => sign change) |
---|
685 | |
---|
686 | ! !* vertical density gradient for v-slope (from N^2) |
---|
687 | # if defined key_vectopt_loop |
---|
688 | DO jj = 1, 1 |
---|
689 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
---|
690 | # else |
---|
691 | DO jj = 1, jpjm1 |
---|
692 | DO ji = 1, jpim1 |
---|
693 | # endif |
---|
694 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
---|
695 | ik = MIN( ik, jpkm1 ) |
---|
696 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) * ( pn2 (ji,jj,ik) + pn2 (ji,jj,ik+1) ) & |
---|
697 | & / MAX( tmask(ji,jj,ik) + tmask(ji,jj,ik+1), 1. ) |
---|
698 | END DO |
---|
699 | END DO |
---|
700 | CALL lbc_lnk( zwy, 'V', 1. ) ! lateral boundary conditions NO sign change |
---|
701 | |
---|
702 | ! !* Slope at v points |
---|
703 | # if defined key_vectopt_loop |
---|
704 | DO jj = 1, 1 |
---|
705 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
---|
706 | # else |
---|
707 | DO jj = 2, jpjm1 |
---|
708 | DO ji = 2, jpim1 |
---|
709 | # endif |
---|
710 | ! horizontal and vertical density gradient at v-points |
---|
711 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
---|
712 | ik = MIN( ik,jpkm1 ) |
---|
713 | zav = 1./ e2v(ji,jj) * zgrv(ji,jj,ik) |
---|
714 | zbv = 0.5*( zwy(ji,jj) + zwy(ji,jj+1) ) |
---|
715 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
---|
716 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
---|
717 | zbv = MIN( zbv, -100.*ABS(zav), -7.e+3/fse3v(ji,jj,ik)*ABS( zav ) ) |
---|
718 | ! vslpml |
---|
719 | vslpml (ji,jj) = zav / ( zbv - zeps ) * vmask (ji,jj,ik) |
---|
720 | END DO |
---|
721 | END DO |
---|
722 | CALL lbc_lnk( vslpml, 'V', -1. ) ! lateral boundary conditions (j-gradient => sign change) |
---|
723 | |
---|
724 | |
---|
725 | ! !* vertical density gradient for w-slope (from N^2) |
---|
726 | # if defined key_vectopt_loop |
---|
727 | DO jj = 1, 1 |
---|
728 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
---|
729 | # else |
---|
730 | DO jj = 1, jpj |
---|
731 | DO ji = 1, jpi |
---|
732 | # endif |
---|
733 | ik = nmln(ji,jj) + 1 |
---|
734 | ik = MIN( ik, jpk ) |
---|
735 | ikm1 = MAX ( 1, ik-1) |
---|
736 | zwy (ji,jj) = zm05g * pn2 (ji,jj,ik) * & |
---|
737 | & ( prd (ji,jj,ik) + prd (ji,jj,ikm1) + 2. ) |
---|
738 | END DO |
---|
739 | END DO |
---|
740 | |
---|
741 | ! !* Slopes at w points |
---|
742 | # if defined key_vectopt_loop |
---|
743 | DO jj = 1, 1 |
---|
744 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
---|
745 | # else |
---|
746 | DO jj = 2, jpjm1 |
---|
747 | DO ji = 2, jpim1 |
---|
748 | # endif |
---|
749 | ik = nmln(ji,jj) + 1 |
---|
750 | ik = MIN( ik, jpk ) |
---|
751 | ikm1 = MAX ( 1, ik-1 ) |
---|
752 | ! horizontal density i-gradient at w-points |
---|
753 | zcoef1 = MAX( zeps, umask(ji-1,jj,ik )+umask(ji,jj,ik ) & |
---|
754 | & +umask(ji-1,jj,ikm1)+umask(ji,jj,ikm1) ) |
---|
755 | zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) |
---|
756 | zai = zcoef1 * ( zgru(ji ,jj,ik ) + zgru(ji ,jj,ikm1) & |
---|
757 | & + zgru(ji-1,jj,ikm1) + zgru(ji-1,jj,ik ) ) * tmask (ji,jj,ik) |
---|
758 | ! horizontal density j-gradient at w-points |
---|
759 | zcoef2 = MAX( zeps, vmask(ji,jj-1,ik )+vmask(ji,jj,ikm1) & |
---|
760 | & +vmask(ji,jj-1,ikm1)+vmask(ji,jj,ik ) ) |
---|
761 | zcoef2 = 1.0 / ( zcoef2 * e2t (ji,jj) ) |
---|
762 | zaj = zcoef2 * ( zgrv(ji,jj ,ik ) + zgrv(ji,jj ,ikm1) & |
---|
763 | & + zgrv(ji,jj-1,ikm1) + zgrv(ji,jj-1,ik ) ) * tmask (ji,jj,ik) |
---|
764 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0. |
---|
765 | ! static instability: |
---|
766 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
---|
767 | zbi = MIN ( zwy (ji,jj),- 100.*ABS(zai), -7.e+3/fse3w(ji,jj,ik)*ABS(zai) ) |
---|
768 | zbj = MIN ( zwy (ji,jj), -100.*ABS(zaj), -7.e+3/fse3w(ji,jj,ik)*ABS(zaj) ) |
---|
769 | ! wslpiml and wslpjml |
---|
770 | wslpiml (ji,jj) = zai / ( zbi - zeps) * tmask (ji,jj,ik) |
---|
771 | wslpjml (ji,jj) = zaj / ( zbj - zeps) * tmask (ji,jj,ik) |
---|
772 | END DO |
---|
773 | END DO |
---|
774 | CALL lbc_lnk( wslpiml, 'W', -1. ) ; CALL lbc_lnk( wslpjml, 'W', -1. ) ! lateral boundary conditions |
---|
775 | ! |
---|
776 | END SUBROUTINE ldf_slp_mxl |
---|
777 | |
---|
778 | |
---|
779 | SUBROUTINE ldf_slp_init |
---|
780 | !!---------------------------------------------------------------------- |
---|
781 | !! *** ROUTINE ldf_slp_init *** |
---|
782 | !! |
---|
783 | !! ** Purpose : Initialization for the isopycnal slopes computation |
---|
784 | !! |
---|
785 | !! ** Method : read the nammbf namelist and check the parameter |
---|
786 | !! values called by tra_dmp at the first timestep (nit000) |
---|
787 | !!---------------------------------------------------------------------- |
---|
788 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
789 | INTEGER :: ierr ! local integer |
---|
790 | !!---------------------------------------------------------------------- |
---|
791 | |
---|
792 | IF(lwp) THEN |
---|
793 | WRITE(numout,*) |
---|
794 | WRITE(numout,*) 'ldf_slp_init : direction of lateral mixing' |
---|
795 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
796 | ENDIF |
---|
797 | |
---|
798 | IF( ln_traldf_grif ) THEN ! Griffies operator : triad of slopes |
---|
799 | 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 ) |
---|
800 | ALLOCATE( triadi (jpi,jpj,jpk,0:1,0:1) , triadj (jpi,jpj,jpk,0:1,0:1) , STAT=ierr ) |
---|
801 | IF( ierr > 0 ) THEN |
---|
802 | CALL ctl_stop( 'ldf_slp_init : unable to allocate Griffies operator slope ' ) ; RETURN |
---|
803 | ENDIF |
---|
804 | ! |
---|
805 | IF( ln_dynldf_iso ) CALL ctl_stop( 'ldf_slp_init: Griffies operator on momentum not supported' ) |
---|
806 | ! |
---|
807 | IF( ( ln_traldf_hor .AND. ln_dynldf_hor ) .AND. ln_sco ) & |
---|
808 | & CALL ctl_stop( 'ldf_slp_init: horizontal Griffies operator ', & |
---|
809 | & 'in s-coordinate not supported' ) |
---|
810 | ! |
---|
811 | ELSE ! Madec operator : slopes at u-, v-, and w-points |
---|
812 | ALLOCATE( uslp(jpi,jpj,jpk) , vslp(jpi,jpj,jpk) , wslpi(jpi,jpj,jpk) , wslpj(jpi,jpj,jpk) , & |
---|
813 | & omlmask(jpi,jpj,jpk) , uslpml(jpi,jpj) , vslpml(jpi,jpj) , wslpiml(jpi,jpj) , wslpjml(jpi,jpj) , STAT=ierr ) |
---|
814 | IF( ierr > 0 ) THEN |
---|
815 | CALL ctl_stop( 'ldf_slp_init : unable to allocate Madec operator slope ' ) ; RETURN |
---|
816 | ENDIF |
---|
817 | |
---|
818 | ! Direction of lateral diffusion (tracers and/or momentum) |
---|
819 | ! ------------------------------ |
---|
820 | uslp (:,:,:) = 0._wp ; uslpml (:,:) = 0._wp ! set the slope to zero (even in s-coordinates) |
---|
821 | vslp (:,:,:) = 0._wp ; vslpml (:,:) = 0._wp |
---|
822 | wslpi(:,:,:) = 0._wp ; wslpiml(:,:) = 0._wp |
---|
823 | wslpj(:,:,:) = 0._wp ; wslpjml(:,:) = 0._wp |
---|
824 | |
---|
825 | !!gm I no longer understand this..... |
---|
826 | IF( (ln_traldf_hor .OR. ln_dynldf_hor) .AND. .NOT. (lk_vvl .AND. ln_rstart) ) THEN |
---|
827 | IF(lwp) THEN |
---|
828 | WRITE(numout,*) ' Horizontal mixing in s-coordinate: slope = slope of s-surfaces' |
---|
829 | ENDIF |
---|
830 | |
---|
831 | ! geopotential diffusion in s-coordinates on tracers and/or momentum |
---|
832 | ! The slopes of s-surfaces are computed once (no call to ldfslp in step) |
---|
833 | ! The slopes for momentum diffusion are i- or j- averaged of those on tracers |
---|
834 | |
---|
835 | ! set the slope of diffusion to the slope of s-surfaces |
---|
836 | ! ( c a u t i o n : minus sign as fsdep has positive value ) |
---|
837 | DO jk = 1, jpk |
---|
838 | DO jj = 2, jpjm1 |
---|
839 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
840 | uslp (ji,jj,jk) = -1./e1u(ji,jj) * ( fsdept(ji+1,jj,jk) - fsdept(ji ,jj ,jk) ) * umask(ji,jj,jk) |
---|
841 | vslp (ji,jj,jk) = -1./e2v(ji,jj) * ( fsdept(ji,jj+1,jk) - fsdept(ji ,jj ,jk) ) * vmask(ji,jj,jk) |
---|
842 | wslpi(ji,jj,jk) = -1./e1t(ji,jj) * ( fsdepw(ji+1,jj,jk) - fsdepw(ji-1,jj,jk) ) * tmask(ji,jj,jk) * 0.5 |
---|
843 | wslpj(ji,jj,jk) = -1./e2t(ji,jj) * ( fsdepw(ji,jj+1,jk) - fsdepw(ji,jj-1,jk) ) * tmask(ji,jj,jk) * 0.5 |
---|
844 | END DO |
---|
845 | END DO |
---|
846 | END DO |
---|
847 | ! Lateral boundary conditions on the slopes |
---|
848 | CALL lbc_lnk( uslp , 'U', -1. ) ; CALL lbc_lnk( vslp , 'V', -1. ) |
---|
849 | CALL lbc_lnk( wslpi, 'W', -1. ) ; CALL lbc_lnk( wslpj, 'W', -1. ) |
---|
850 | ENDIF |
---|
851 | ENDIF ! |
---|
852 | END SUBROUTINE ldf_slp_init |
---|
853 | |
---|
854 | #else |
---|
855 | !!------------------------------------------------------------------------ |
---|
856 | !! Dummy module : NO Rotation of lateral mixing tensor |
---|
857 | !!------------------------------------------------------------------------ |
---|
858 | LOGICAL, PUBLIC, PARAMETER :: lk_ldfslp = .FALSE. !: slopes flag |
---|
859 | CONTAINS |
---|
860 | SUBROUTINE ldf_slp( kt, prd, pn2 ) ! Dummy routine |
---|
861 | INTEGER, INTENT(in) :: kt |
---|
862 | REAL, DIMENSION(:,:,:), INTENT(in) :: prd, pn2 |
---|
863 | WRITE(*,*) 'ldf_slp: You should not have seen this print! error?', kt, prd(1,1,1), pn2(1,1,1) |
---|
864 | END SUBROUTINE ldf_slp |
---|
865 | SUBROUTINE ldf_slp_init ! Dummy routine |
---|
866 | END SUBROUTINE ldf_slp_init |
---|
867 | #endif |
---|
868 | |
---|
869 | !!====================================================================== |
---|
870 | END MODULE ldfslp |
---|