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 | |
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307 | |
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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 |
---|
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. |
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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 |
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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 |
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371 | INTEGER :: ik, ikm1 ! temporary integers |
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372 | REAL(wp) :: zeps, zmg, zm05g ! temporary scalars |
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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 | |
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379 | zeps = 1.e-20 ! Local constant initialization |
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380 | zmg = -1.0 / grav |
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381 | zm05g = -0.5 / grav |
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382 | ! |
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383 | uslpml (1,:) = 0.e0 ; uslpml (jpi,:) = 0.e0 |
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384 | vslpml (1,:) = 0.e0 ; vslpml (jpi,:) = 0.e0 |
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385 | wslpiml(1,:) = 0.e0 ; wslpiml(jpi,:) = 0.e0 |
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386 | wslpjml(1,:) = 0.e0 ; wslpjml(jpi,:) = 0.e0 |
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387 | |
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388 | ! ! surface mixed layer mask |
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389 | DO jk = 1, jpk ! =1 inside the mixed layer, =0 otherwise |
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390 | # if defined key_vectopt_loop |
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391 | DO jj = 1, 1 |
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392 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
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393 | # else |
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394 | DO jj = 1, jpj |
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395 | DO ji = 1, jpi |
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396 | # endif |
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397 | ik = nmln(ji,jj) - 1 |
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398 | IF( jk <= ik ) THEN ; omlmask(ji,jj,jk) = 1.e0 |
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399 | ELSE ; omlmask(ji,jj,jk) = 0.e0 |
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400 | ENDIF |
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401 | END DO |
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402 | END DO |
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403 | END DO |
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404 | |
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405 | |
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406 | ! Slopes of isopycnal surfaces just before bottom of mixed layer |
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407 | ! -------------------------------------------------------------- |
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408 | ! The slope are computed as in the 3D case. |
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409 | ! A key point here is the definition of the mixed layer at u- and v-points. |
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410 | ! It is assumed to be the maximum of the two neighbouring T-point mixed layer depth. |
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411 | ! Otherwise, a n2 value inside the mixed layer can be involved in the computation |
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412 | ! of the slope, resulting in a too steep diagnosed slope and thus a spurious eddy |
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413 | ! induce velocity field near the base of the mixed layer. |
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414 | !----------------------------------------------------------------------- |
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415 | ! |
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416 | zwy(:,jpj) = 0.e0 !* vertical density gradient for u-slope (from N^2) |
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417 | zwy(jpi,:) = 0.e0 |
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418 | # if defined key_vectopt_loop |
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419 | DO jj = 1, 1 |
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420 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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421 | # else |
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422 | DO jj = 1, jpjm1 |
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423 | DO ji = 1, jpim1 |
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424 | # endif |
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425 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) ! avoid spurious recirculation |
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426 | ik = MIN( ik, jpkm1 ) ! if ik = jpk take jpkm1 values |
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427 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) * ( pn2 (ji,jj,ik) + pn2 (ji,jj,ik+1) ) & |
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428 | & / MAX( tmask(ji,jj,ik) + tmask(ji,jj,ik+1), 1. ) |
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429 | END DO |
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430 | END DO |
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431 | CALL lbc_lnk( zwy, 'U', 1. ) ! lateral boundary conditions NO sign change |
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432 | |
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433 | ! !* Slope at u points |
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434 | # if defined key_vectopt_loop |
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435 | DO jj = 1, 1 |
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436 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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437 | # else |
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438 | DO jj = 2, jpjm1 |
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439 | DO ji = 2, jpim1 |
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440 | # endif |
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441 | ! horizontal and vertical density gradient at u-points |
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442 | ik = MAX( 1, nmln(ji,jj) , nmln(ji+1,jj) ) |
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443 | ik = MIN( ik, jpkm1 ) |
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444 | zau = 1./ e1u(ji,jj) * zgru(ji,jj,ik) |
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445 | zbu = 0.5*( zwy(ji,jj) + zwy(ji+1,jj) ) |
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446 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
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447 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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448 | zbu = MIN( zbu, -100.*ABS(zau), -7.e+3/fse3u(ji,jj,ik)*ABS(zau) ) |
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449 | ! uslpml |
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450 | uslpml (ji,jj) = zau / ( zbu - zeps ) * umask (ji,jj,ik) |
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451 | END DO |
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452 | END DO |
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453 | CALL lbc_lnk( uslpml, 'U', -1. ) ! lateral boundary conditions (i-gradient => sign change) |
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454 | |
---|
455 | ! !* vertical density gradient for v-slope (from N^2) |
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456 | # if defined key_vectopt_loop |
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457 | DO jj = 1, 1 |
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458 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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459 | # else |
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460 | DO jj = 1, jpjm1 |
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461 | DO ji = 1, jpim1 |
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462 | # endif |
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463 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
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464 | ik = MIN( ik, jpkm1 ) |
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465 | zwy(ji,jj) = zmg * ( prd(ji,jj,ik) + 1. ) * ( pn2 (ji,jj,ik) + pn2 (ji,jj,ik+1) ) & |
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466 | & / MAX( tmask(ji,jj,ik) + tmask(ji,jj,ik+1), 1. ) |
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467 | END DO |
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468 | END DO |
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469 | CALL lbc_lnk( zwy, 'V', 1. ) ! lateral boundary conditions NO sign change |
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470 | |
---|
471 | ! !* Slope at v points |
---|
472 | # if defined key_vectopt_loop |
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473 | DO jj = 1, 1 |
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474 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
---|
475 | # else |
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476 | DO jj = 2, jpjm1 |
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477 | DO ji = 2, jpim1 |
---|
478 | # endif |
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479 | ! horizontal and vertical density gradient at v-points |
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480 | ik = MAX( 1, nmln(ji,jj) , nmln(ji,jj+1) ) |
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481 | ik = MIN( ik,jpkm1 ) |
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482 | zav = 1./ e2v(ji,jj) * zgrv(ji,jj,ik) |
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483 | zbv = 0.5*( zwy(ji,jj) + zwy(ji,jj+1) ) |
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484 | ! bound the slopes: abs(zw.)<= 1/100 and zb..<0 |
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485 | ! kxz max= ah slope max =< e1 e3 /(pi**2 2 dt) |
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486 | zbv = MIN( zbv, -100.*ABS(zav), -7.e+3/fse3v(ji,jj,ik)*ABS( zav ) ) |
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487 | ! vslpml |
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488 | vslpml (ji,jj) = zav / ( zbv - zeps ) * vmask (ji,jj,ik) |
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489 | END DO |
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490 | END DO |
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491 | CALL lbc_lnk( vslpml, 'V', -1. ) ! lateral boundary conditions (j-gradient => sign change) |
---|
492 | |
---|
493 | |
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494 | ! !* vertical density gradient for w-slope (from N^2) |
---|
495 | # if defined key_vectopt_loop |
---|
496 | DO jj = 1, 1 |
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497 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
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498 | # else |
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499 | DO jj = 1, jpj |
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500 | DO ji = 1, jpi |
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501 | # endif |
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502 | ik = nmln(ji,jj) + 1 |
---|
503 | ik = MIN( ik, jpk ) |
---|
504 | ikm1 = MAX ( 1, ik-1) |
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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 |
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511 | # if defined key_vectopt_loop |
---|
512 | DO jj = 1, 1 |
---|
513 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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514 | # else |
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515 | DO jj = 2, jpjm1 |
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516 | DO ji = 2, jpim1 |
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517 | # endif |
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518 | ik = nmln(ji,jj) + 1 |
---|
519 | ik = MIN( ik, jpk ) |
---|
520 | ikm1 = MAX ( 1, ik-1 ) |
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521 | ! horizontal density i-gradient at w-points |
---|
522 | zcoef1 = MAX( zeps, umask(ji-1,jj,ik )+umask(ji,jj,ik ) & |
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523 | & +umask(ji-1,jj,ikm1)+umask(ji,jj,ikm1) ) |
---|
524 | zcoef1 = 1. / ( zcoef1 * e1t (ji,jj) ) |
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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) |
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541 | END DO |
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542 | END DO |
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543 | CALL lbc_lnk( wslpiml, 'W', -1. ) ; CALL lbc_lnk( wslpjml, 'W', -1. ) ! lateral boundary conditions |
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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 | !!---------------------------------------------------------------------- |
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559 | |
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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 |
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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 |
---|