1 | MODULE trazdf_iso_vopt |
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2 | !!============================================================================== |
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3 | !! *** MODULE trazdf_iso_vopt *** |
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4 | !! Ocean active tracers: vertical component of the tracer mixing trend |
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5 | !!============================================================================== |
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6 | #if defined key_ldfslp || defined key_esopa |
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7 | !!---------------------------------------------------------------------- |
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8 | !! 'key_ldfslp' rotation of the lateral mixing tensor |
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9 | !!---------------------------------------------------------------------- |
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10 | !! tra_zdf_iso_vopt : Update the tracer trend with the vertical part of |
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11 | !! the isopycnal or geopotential s-coord. operator and |
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12 | !! the vertical diffusion. vector optimization, use |
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13 | !! k-j-i loops. |
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14 | !! tra_zdf_iso : |
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15 | !! tra_zdf_zdf : |
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16 | !!---------------------------------------------------------------------- |
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17 | !! * Modules used |
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18 | USE oce ! ocean dynamics and tracers variables |
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19 | USE dom_oce ! ocean space and time domain variables |
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20 | USE zdf_oce ! ocean vertical physics variables |
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21 | USE ldftra_oce ! ocean active tracers: lateral physics |
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22 | USE trdtra_oce ! tracers trends diagnostics variables |
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23 | USE ldfslp ! iso-neutral slopes |
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24 | USE zdfddm ! ocean vertical physics: double diffusion |
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25 | USE in_out_manager ! I/O manager |
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26 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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27 | |
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28 | IMPLICIT NONE |
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29 | PRIVATE |
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30 | |
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31 | !! * Routine accessibility |
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32 | PUBLIC tra_zdf_iso_vopt ! routine called by step.F90 |
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33 | |
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34 | !! * Module variables |
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35 | REAL(wp), DIMENSION(jpk) :: & |
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36 | r2dt ! vertical profile of 2 x time-step |
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37 | |
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38 | !! * Substitutions |
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39 | # include "domzgr_substitute.h90" |
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40 | # include "ldftra_substitute.h90" |
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41 | # include "ldfeiv_substitute.h90" |
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42 | # include "zdfddm_substitute.h90" |
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43 | # include "vectopt_loop_substitute.h90" |
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44 | !!---------------------------------------------------------------------- |
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45 | |
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46 | CONTAINS |
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47 | |
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48 | SUBROUTINE tra_zdf_iso_vopt( kt ) |
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49 | !!---------------------------------------------------------------------- |
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50 | !! *** ROUTINE tra_zdf_iso_vopt *** |
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51 | !! |
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52 | !! ** Purpose : |
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53 | !! ** Method : |
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54 | !! ** Action : |
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55 | !! |
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56 | !! History : |
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57 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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58 | !!--------------------------------------------------------------------- |
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59 | !! * Arguments |
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60 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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61 | !! * Local variables |
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62 | REAL(wp) :: zta, zsa ! temporary scalars |
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63 | !!--------------------------------------------------------------------- |
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64 | !! OPA 8.5, LODYC-IPSL (2002) |
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65 | !!--------------------------------------------------------------------- |
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66 | |
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67 | IF( kt == nit000 ) THEN |
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68 | IF(lwp)WRITE(numout,*) |
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69 | IF(lwp)WRITE(numout,*) 'tra_zdf_iso_vopt : vertical mixing computation' |
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70 | IF(lwp)WRITE(numout,*) '~~~~~~~~~~~~~~~~ is iso-neutral diffusion : implicit vertical time stepping' |
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71 | #if defined key_diaeiv |
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72 | w_eiv(:,:,:) = 0.e0 |
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73 | #endif |
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74 | ENDIF |
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75 | |
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76 | |
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77 | ! I. vertical extra-diagonal part of the rotated tensor |
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78 | ! ----------------------------------------------------- |
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79 | |
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80 | CALL tra_zdf_iso |
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81 | |
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82 | IF( l_ctl .AND. lwp ) THEN ! print mean trends (used for debugging) |
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83 | zta = SUM( ta(2:jpim1,2:jpjm1,1:jpkm1) * tmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
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84 | zsa = SUM( sa(2:jpim1,2:jpjm1,1:jpkm1) * tmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
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85 | WRITE(numout,*) ' zdf 1- Ta: ', zta-t_ctl, ' Sa: ', zsa-s_ctl |
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86 | t_ctl = zta ; s_ctl = zsa |
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87 | ENDIF |
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88 | |
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89 | ! II. vertical diffusion (including the vertical diagonal part of the rotated tensor) |
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90 | ! ---------------------- |
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91 | |
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92 | CALL tra_zdf_zdf( kt ) |
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93 | |
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94 | IF( l_ctl .AND. lwp ) THEN ! print mean trends (used for debugging) |
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95 | zta = SUM( ta(2:jpim1,2:jpjm1,1:jpkm1) * tmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
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96 | zsa = SUM( sa(2:jpim1,2:jpjm1,1:jpkm1) * tmask(2:jpim1,2:jpjm1,1:jpkm1) ) |
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97 | WRITE(numout,*) ' zdf 1- Ta: ', zta, ' Sa: ', zsa |
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98 | ENDIF |
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99 | |
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100 | |
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101 | |
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102 | END SUBROUTINE tra_zdf_iso_vopt |
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103 | |
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104 | |
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105 | SUBROUTINE tra_zdf_zdf( kt ) |
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106 | !!---------------------------------------------------------------------- |
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107 | !! *** ROUTINE tra_zdf_zdf *** |
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108 | !! |
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109 | !! ** Purpose : Compute the trend due to the vertical tracer diffusion |
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110 | !! including the vertical component of lateral mixing (only for 2nd |
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111 | !! order operator, for fourth order it is already computed and add |
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112 | !! to the general trend in traldf.F) and add it to the general trend |
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113 | !! of the tracer equations. |
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114 | !! |
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115 | !! ** Method : The vertical component of the lateral diffusive trends |
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116 | !! is provided by a 2nd order operator rotated along neural or geo- |
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117 | !! potential surfaces to which an eddy induced advection can be |
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118 | !! added. It is computed using before fields (forward in time) and |
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119 | !! isopycnal or geopotential slopes computed in routine ldfslp. |
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120 | !! |
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121 | !! Second part: vertical trend associated with the vertical physics |
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122 | !! =========== (including the vertical flux proportional to dk[t] |
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123 | !! associated with the lateral mixing, through the |
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124 | !! update of avt) |
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125 | !! The vertical diffusion of tracers (t & s) is given by: |
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126 | !! difft = dz( avt dz(t) ) = 1/e3t dk+1( avt/e3w dk(t) ) |
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127 | !! It is computed using a backward time scheme (t=ta). |
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128 | !! Surface and bottom boundary conditions: no diffusive flux on |
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129 | !! both tracers (bottom, applied through the masked field avt). |
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130 | !! Add this trend to the general trend ta,sa : |
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131 | !! ta = ta + dz( avt dz(t) ) |
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132 | !! (sa = sa + dz( avs dz(t) ) if lk_zdfddm=T ) |
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133 | !! |
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134 | !! Third part: recover avt resulting from the vertical physics |
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135 | !! ========== alone, for further diagnostics (for example to |
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136 | !! compute the turbocline depth in diamld). |
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137 | !! avt = zavt |
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138 | !! (avs = zavs if lk_zdfddm=T ) |
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139 | !! |
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140 | !! 'key_trdtra' defined: trend saved for futher diagnostics. |
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141 | !! |
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142 | !! macro-tasked on vertical slab (jj-loop) |
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143 | !! |
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144 | !! ** Action : - Update (ta,sa) with before vertical diffusion trend |
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145 | !! - Save the trend in (ttrd,strd) ('key_diatrends') |
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146 | !! |
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147 | !! History : |
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148 | !! 6.0 ! 90-10 (B. Blanke) Original code |
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149 | !! 7.0 ! 91-11 (G. Madec) |
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150 | !! ! 92-06 (M. Imbard) correction on tracer trend loops |
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151 | !! ! 96-01 (G. Madec) statement function for e3 |
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152 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
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153 | !! ! 97-07 (G. Madec) geopotential diffusion in s-coord |
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154 | !! ! 00-08 (G. Madec) double diffusive mixing |
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155 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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156 | !!--------------------------------------------------------------------- |
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157 | !! * Modules used |
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158 | USE oce , ONLY : zwd => ua, & ! ua, va used as |
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159 | zws => va ! workspace |
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160 | !! * Arguments |
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161 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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162 | |
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163 | !! * Local declarations |
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164 | INTEGER :: ji, jj, jk ! dummy loop indices |
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165 | REAL(wp) :: & |
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166 | zavi, zrhs ! temporary scalars |
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167 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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168 | zwi, zwt, zavsi ! temporary workspace arrays |
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169 | # if defined key_trdtra || defined key_trdmld |
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170 | REAL(wp) :: zta, zsa !temporary scalars |
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171 | # endif |
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172 | !!--------------------------------------------------------------------- |
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173 | !! OPA 8.5, LODYC-IPSL (2002) |
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174 | !!--------------------------------------------------------------------- |
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175 | |
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176 | |
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177 | ! I. Local constant initialization |
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178 | ! -------------------------------- |
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179 | ! ... time step = 2 rdttra ex |
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180 | IF( neuler == 0 .AND. kt == nit000 ) THEN |
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181 | r2dt(:) = rdttra(:) ! restarting with Euler time stepping |
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182 | ELSEIF( kt <= nit000 + 1) THEN |
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183 | r2dt(:) = 2. * rdttra(:) ! leapfrog |
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184 | ENDIF |
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185 | |
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186 | zwd( 1 ,:,:)=0.e0 ; zwd(jpi,:,:)=0.e0 |
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187 | zws( 1 ,:,:)=0.e0 ; zws(jpi,:,:)=0.e0 |
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188 | zwi( 1 ,:,:)=0.e0 ; zwi(jpi,:,:)=0.e0 |
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189 | zwt( 1 ,:,:)=0.e0 ; zwt(jpi,:,:)=0.e0 ; zwt(:,:,jpk) = 0.e0 |
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190 | |
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191 | zavsi( 1 ,:,:)=0.e0 ; zavsi(jpi,:,:)=0.e0 ; zavsi(:,:,jpk) = 0.e0 |
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192 | |
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193 | zwt(:,:,1) = 0.e0 |
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194 | zavsi(:,:,1) = 0.e0 |
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195 | |
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196 | |
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197 | ! II. Vertical trend associated with the vertical physics |
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198 | ! ======================================================= |
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199 | ! (including the vertical flux proportional to dk[t] associated |
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200 | ! with the lateral mixing, through the avt update) |
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201 | ! dk[ avt dk[ (t,s) ] ] diffusive trends |
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202 | |
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203 | |
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204 | ! II.0 Matrix construction |
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205 | ! ------------------------ |
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206 | |
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207 | ! update and save of avt (and avs if double diffusive mixing) |
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208 | DO jk = 2, jpkm1 |
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209 | DO jj = 2, jpjm1 |
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210 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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211 | zavi = fsahtw(ji,jj,jk) * ( & ! vertical mixing coef. due to lateral mixing |
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212 | wslpi(ji,jj,jk) * wslpi(ji,jj,jk) & |
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213 | + wslpj(ji,jj,jk) * wslpj(ji,jj,jk) ) |
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214 | zwt(ji,jj,jk) = avt(ji,jj,jk) + zavi ! zwt=avt+zavi (total vertical mixing coef. on temperature) |
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215 | #if defined key_zdfddm |
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216 | zavsi(ji,jj,jk) = fsavs(ji,jj,jk) + zavi ! dd mixing: zavsi = total vertical mixing coef. on salinity |
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217 | #endif |
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218 | END DO |
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219 | END DO |
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220 | END DO |
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221 | |
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222 | ! Diagonal, inferior, superior (including the bottom boundary condition via avt masked) |
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223 | DO jk = 1, jpkm1 |
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224 | DO jj = 2, jpjm1 |
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225 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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226 | zwi(ji,jj,jk) = - r2dt(jk) * zwt(ji,jj,jk ) / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
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227 | zws(ji,jj,jk) = - r2dt(jk) * zwt(ji,jj,jk+1) / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
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228 | zwd(ji,jj,jk) = 1. - zwi(ji,jj,jk) - zws(ji,jj,jk) |
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229 | END DO |
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230 | END DO |
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231 | END DO |
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232 | |
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233 | ! Surface boudary conditions |
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234 | DO jj = 2, jpjm1 |
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235 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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236 | zwi(ji,jj,1) = 0.e0 |
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237 | zwd(ji,jj,1) = 1. - zws(ji,jj,1) |
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238 | END DO |
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239 | END DO |
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240 | |
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241 | |
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242 | ! II.1. Vertical diffusion on t |
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243 | ! --------------------------- |
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244 | |
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245 | !! Matrix inversion from the first level |
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246 | !!---------------------------------------------------------------------- |
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247 | ! solve m.x = y where m is a tri diagonal matrix ( jpk*jpk ) |
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248 | ! |
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249 | ! ( zwd1 zws1 0 0 0 )( zwx1 ) ( zwy1 ) |
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250 | ! ( zwi2 zwd2 zws2 0 0 )( zwx2 ) ( zwy2 ) |
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251 | ! ( 0 zwi3 zwd3 zws3 0 )( zwx3 )=( zwy3 ) |
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252 | ! ( ... )( ... ) ( ... ) |
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253 | ! ( 0 0 0 zwik zwdk )( zwxk ) ( zwyk ) |
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254 | ! |
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255 | ! m is decomposed in the product of an upper and lower triangular matrix |
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256 | ! The 3 diagonal terms are in 2d arrays: zwd, zws, zwi |
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257 | ! The second member is in 2d array zwy |
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258 | ! The solution is in 2d array zwx |
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259 | ! The 3d arry zwt is a work space array |
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260 | ! zwy is used and then used as a work space array : its value is modified! |
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261 | |
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262 | ! first recurrence: Tk = Dk - Ik Sk-1 / Tk-1 (increasing k) |
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263 | DO jj = 2, jpjm1 |
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264 | DO ji = fs_2, fs_jpim1 |
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265 | zwt(ji,jj,1) = zwd(ji,jj,1) |
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266 | END DO |
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267 | END DO |
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268 | DO jk = 2, jpkm1 |
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269 | DO jj = 2, jpjm1 |
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270 | DO ji = fs_2, fs_jpim1 |
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271 | zwt(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) /zwt(ji,jj,jk-1) |
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272 | END DO |
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273 | END DO |
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274 | END DO |
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275 | |
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276 | ! second recurrence: Zk = Yk - Ik / Tk-1 Zk-1 |
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277 | DO jj = 2, jpjm1 |
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278 | DO ji = fs_2, fs_jpim1 |
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279 | ta(ji,jj,1) = tb(ji,jj,1) + r2dt(1) * ta(ji,jj,1) |
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280 | END DO |
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281 | END DO |
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282 | DO jk = 2, jpkm1 |
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283 | DO jj = 2, jpjm1 |
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284 | DO ji = fs_2, fs_jpim1 |
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285 | zrhs = tb(ji,jj,jk) + r2dt(jk) * ta(ji,jj,jk) ! zrhs=right hand side |
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286 | ta(ji,jj,jk) = zrhs - zwi(ji,jj,jk) / zwt(ji,jj,jk-1) *ta(ji,jj,jk-1) |
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287 | END DO |
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288 | END DO |
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289 | END DO |
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290 | |
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291 | ! third recurrence: Xk = (Zk - Sk Xk+1 ) / Tk |
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292 | ! Save the masked temperature after in ta |
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293 | ! (c a u t i o n: temperature not its trend, Leap-frog scheme done it will not be done in tranxt) |
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294 | DO jj = 2, jpjm1 |
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295 | DO ji = fs_2, fs_jpim1 |
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296 | ta(ji,jj,jpkm1) = ta(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) * tmask(ji,jj,jpkm1) |
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297 | END DO |
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298 | END DO |
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299 | DO jk = jpk-2, 1, -1 |
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300 | DO jj = 2, jpjm1 |
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301 | DO ji = fs_2, fs_jpim1 |
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302 | ta(ji,jj,jk) = ( ta(ji,jj,jk) - zws(ji,jj,jk) * ta(ji,jj,jk+1) ) / zwt(ji,jj,jk) * tmask(ji,jj,jk) |
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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 | #if defined key_trdtra || defined key_trdmld |
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308 | ! Compute and save the vertical diffusive temperature trends |
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309 | IF( l_traldf_iso ) THEN |
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310 | DO jk = 1, jpkm1 |
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311 | DO jj = 2, jpjm1 |
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312 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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313 | zta = ( ta(ji,jj,jk) - tb(ji,jj,jk) ) / r2dt(jk) |
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314 | ttrd(ji,jj,jk,4) = zta - ta(ji,jj,jk) + ttrd(ji,jj,jk,4) |
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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 | ELSE |
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319 | DO jk = 1, jpkm1 |
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320 | DO jj = 2, jpjm1 |
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321 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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322 | zta = ( ta(ji,jj,jk) - tb(ji,jj,jk) ) / r2dt(jk) |
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323 | ttrd(ji,jj,jk,4) = zta - ta(ji,jj,jk) |
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324 | END DO |
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325 | END DO |
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326 | END DO |
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327 | ENDIF |
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328 | #endif |
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329 | |
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330 | |
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331 | ! II.2 Vertical diffusion on salinity |
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332 | ! ---------------------------======== |
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333 | |
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334 | #if defined key_zdfddm |
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335 | ! Rebuild the Matrix as avt /= avs |
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336 | |
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337 | ! Diagonal, inferior, superior (including the bottom boundary condition via avs masked) |
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338 | DO jk = 1, jpkm1 |
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339 | DO jj = 2, jpjm1 |
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340 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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341 | zwi(ji,jj,jk) = - r2dt(jk) * zavsi(ji,jj,jk ) / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk ) ) |
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342 | zws(ji,jj,jk) = - r2dt(jk) * zavsi(ji,jj,jk+1) / ( fse3t(ji,jj,jk) * fse3w(ji,jj,jk+1) ) |
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343 | zwd(ji,jj,jk) = 1. - zwi(ji,jj,jk) - zws(ji,jj,jk) |
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344 | END DO |
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345 | END DO |
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346 | END DO |
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347 | |
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348 | ! Surface boudary conditions |
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349 | DO jj = 2, jpjm1 |
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350 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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351 | zwi(ji,jj,1) = 0.e0 |
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352 | zwd(ji,jj,1) = 1. - zws(ji,jj,1) |
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353 | END DO |
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354 | END DO |
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355 | #endif |
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356 | |
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357 | |
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358 | !! Matrix inversion from the first level |
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359 | !!---------------------------------------------------------------------- |
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360 | ! solve m.x = y where m is a tri diagonal matrix ( jpk*jpk ) |
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361 | ! |
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362 | ! ( zwd1 zws1 0 0 0 )( zwx1 ) ( zwy1 ) |
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363 | ! ( zwi2 zwd2 zws2 0 0 )( zwx2 ) ( zwy2 ) |
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364 | ! ( 0 zwi3 zwd3 zws3 0 )( zwx3 )=( zwy3 ) |
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365 | ! ( ... )( ... ) ( ... ) |
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366 | ! ( 0 0 0 zwik zwdk )( zwxk ) ( zwyk ) |
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367 | ! |
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368 | ! m is decomposed in the product of an upper and lower triangular |
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369 | ! matrix |
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370 | ! The 3 diagonal terms are in 2d arrays: zwd, zws, zwi |
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371 | ! The second member is in 2d array zwy |
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372 | ! The solution is in 2d array zwx |
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373 | ! The 3d arry zwt is a work space array |
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374 | ! zwy is used and then used as a work space array : its value is modified! |
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375 | |
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376 | ! first recurrence: Tk = Dk - Ik Sk-1 / Tk-1 (increasing k) |
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377 | DO jj = 2, jpjm1 |
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378 | DO ji = fs_2, fs_jpim1 |
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379 | zwt(ji,jj,1) = zwd(ji,jj,1) |
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380 | END DO |
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381 | END DO |
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382 | DO jk = 2, jpkm1 |
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383 | DO jj = 2, jpjm1 |
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384 | DO ji = fs_2, fs_jpim1 |
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385 | zwt(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) /zwt(ji,jj,jk-1) |
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386 | END DO |
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387 | END DO |
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388 | END DO |
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389 | |
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390 | ! second recurrence: Zk = Yk - Ik / Tk-1 Zk-1 |
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391 | DO jj = 2, jpjm1 |
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392 | DO ji = fs_2, fs_jpim1 |
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393 | sa(ji,jj,1) = sb(ji,jj,1) + r2dt(1) * sa(ji,jj,1) |
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394 | END DO |
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395 | END DO |
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396 | DO jk = 2, jpkm1 |
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397 | DO jj = 2, jpjm1 |
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398 | DO ji = fs_2, fs_jpim1 |
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399 | zrhs = sb(ji,jj,jk) + r2dt(jk) * sa(ji,jj,jk) ! zrhs=right hand side |
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400 | sa(ji,jj,jk) = zrhs - zwi(ji,jj,jk) / zwt(ji,jj,jk-1) *sa(ji,jj,jk-1) |
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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 | ! third recurrence: Xk = (Zk - Sk Xk+1 ) / Tk |
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406 | ! Save the masked temperature after in ta |
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407 | ! (c a u t i o n: temperature not its trend, Leap-frog scheme done it will not be done in tranxt) |
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408 | DO jj = 2, jpjm1 |
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409 | DO ji = fs_2, fs_jpim1 |
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410 | sa(ji,jj,jpkm1) = sa(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) * tmask(ji,jj,jpkm1) |
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411 | END DO |
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412 | END DO |
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413 | DO jk = jpk-2, 1, -1 |
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414 | DO jj = 2, jpjm1 |
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415 | DO ji = fs_2, fs_jpim1 |
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416 | sa(ji,jj,jk) = ( sa(ji,jj,jk) - zws(ji,jj,jk) * sa(ji,jj,jk+1) ) / zwt(ji,jj,jk) * tmask(ji,jj,jk) |
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417 | END DO |
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418 | END DO |
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419 | END DO |
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420 | |
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421 | #if defined key_trdtra || defined key_trdmld |
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422 | ! Compute and save the vertical diffusive temperature trends |
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423 | IF( l_traldf_iso ) THEN |
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424 | DO jk = 1, jpkm1 |
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425 | DO jj = 2, jpjm1 |
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426 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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427 | zsa = ( sa(ji,jj,jk) - sb(ji,jj,jk) ) / r2dt(jk) |
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428 | strd(ji,jj,jk,4) = zsa - sa(ji,jj,jk) + strd(ji,jj,jk,4) |
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429 | END DO |
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430 | END DO |
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431 | END DO |
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432 | ELSE |
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433 | DO jk = 1, jpkm1 |
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434 | DO jj = 2, jpjm1 |
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435 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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436 | zsa = ( sa(ji,jj,jk) - sb(ji,jj,jk) ) / r2dt(jk) |
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437 | strd(ji,jj,jk,4) = zsa - sa(ji,jj,jk) |
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438 | END DO |
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439 | END DO |
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440 | END DO |
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441 | ENDIF |
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442 | #endif |
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443 | |
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444 | END SUBROUTINE tra_zdf_zdf |
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445 | |
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446 | |
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447 | SUBROUTINE tra_zdf_iso |
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448 | !!---------------------------------------------------------------------- |
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449 | !! *** ROUTINE tra_zdf_iso *** |
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450 | !! |
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451 | !! ** Purpose : |
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452 | !! Compute the trend due to the vertical tracer diffusion inclu- |
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453 | !! ding the vertical component of lateral mixing (only for second |
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454 | !! order operator, for fourth order it is already computed and |
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455 | !! add to the general trend in traldf.F) and add it to the general |
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456 | !! trend of the tracer equations. |
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457 | !! |
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458 | !! ** Method : |
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459 | !! The vertical component of the lateral diffusive trends is |
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460 | !! provided by a 2nd order operator rotated along neural or geopo- |
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461 | !! tential surfaces to which an eddy induced advection can be added |
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462 | !! It is computed using before fields (forward in time) and isopyc- |
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463 | !! nal or geopotential slopes computed in routine ldfslp. |
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464 | !! |
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465 | !! First part: vertical trends associated with the lateral mixing |
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466 | !! ========== (excluding the vertical flux proportional to dk[t] ) |
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467 | !! vertical fluxes associated with the rotated lateral mixing: |
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468 | !! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ] |
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469 | !! + e1t*wslpj dj[ mj(mk(tb)) ] } |
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470 | !! save avt coef. resulting from vertical physics alone in zavt: |
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471 | !! zavt = avt |
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472 | !! update and save in zavt the vertical eddy viscosity coefficient: |
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473 | !! avt = avt + wslpi^2+wslj^2 |
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474 | !! add vertical Eddy Induced advective fluxes (lk_traldf_eiv=T): |
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475 | !! zftw = zftw + { di[aht e2u mi(wslpi)] |
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476 | !! +dj[aht e1v mj(wslpj)] } mk(tb) |
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477 | !! take the horizontal divergence of the fluxes: |
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478 | !! difft = 1/(e1t*e2t*e3t) dk[ zftw ] |
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479 | !! Add this trend to the general trend (ta,sa): |
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480 | !! ta = ta + difft |
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481 | !! |
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482 | !! ** Action : |
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483 | !! Update (ta,sa) arrays with the before vertical diffusion trend |
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484 | !! Save in (ttrd,strd) arrays the trends if 'key_diatrends' defined |
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485 | !! |
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486 | !! History : |
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487 | !! 6.0 ! 90-10 (B. Blanke) Original code |
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488 | !! 7.0 ! 91-11 (G. Madec) |
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489 | !! ! 92-06 (M. Imbard) correction on tracer trend loops |
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490 | !! ! 96-01 (G. Madec) statement function for e3 |
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491 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
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492 | !! ! 97-07 (G. Madec) geopotential diffusion in s-coord |
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493 | !! ! 00-08 (G. Madec) double diffusive mixing |
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494 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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495 | !!--------------------------------------------------------------------- |
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496 | !! * Modules used |
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497 | USE oce , ONLY : zwx => ua, & ! use ua, va as |
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498 | zwy => va ! workspace arrays |
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499 | |
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500 | !! * Local declarations |
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501 | INTEGER :: ji, jj, jk ! dummy loop indices |
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502 | #if defined key_partial_steps |
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503 | INTEGER :: iku, ikv |
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504 | #endif |
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505 | REAL(wp) :: & |
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506 | ztavg, zsavg, & ! temporary scalars |
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507 | zcoef0, zcoef3, & ! " " |
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508 | zcoef4, & ! " " |
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509 | zbtr, zmku, zmkv, & ! " " |
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510 | #if defined key_traldf_eiv |
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511 | zcoeg3, & ! " " |
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512 | zuwki, zvwki, & ! " " |
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513 | zuwk, zsav, & ! " " |
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514 | #endif |
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515 | zvwk, ztav |
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516 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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517 | zwz, zwt, ztfw, zsfw ! temporary workspace arrays |
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518 | !!--------------------------------------------------------------------- |
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519 | !! OPA 8.5, LODYC-IPSL (2002) |
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520 | !!--------------------------------------------------------------------- |
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521 | |
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522 | |
---|
523 | ! 0. Local constant initialization |
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524 | ! -------------------------------- |
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525 | ztavg = 0.e0 |
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526 | zsavg = 0.e0 |
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527 | zwx( 1 ,:,:)=0.e0 ; zwx(jpi,:,:)=0.e0 |
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528 | zwy( 1 ,:,:)=0.e0 ; zwy(jpi,:,:)=0.e0 |
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529 | zwz( 1 ,:,:)=0.e0 ; zwz(jpi,:,:)=0.e0 |
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530 | zwt( 1 ,:,:)=0.e0 ; zwt(jpi,:,:)=0.e0 |
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531 | ztfw( 1 ,:,:)=0.e0 ; ztfw(jpi,:,:)=0.e0 |
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532 | zsfw( 1 ,:,:)=0.e0 ; zsfw(jpi,:,:)=0.e0 |
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533 | |
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534 | |
---|
535 | ! I. Vertical trends associated with lateral mixing |
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536 | ! ------------------------------------------------- |
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537 | ! (excluding the vertical flux proportional to dk[t] ) |
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538 | |
---|
539 | |
---|
540 | ! I.1 horizontal tracer gradient |
---|
541 | ! ------------------------------ |
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542 | |
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543 | DO jk = 1, jpkm1 |
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544 | DO jj = 1, jpjm1 |
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545 | DO ji = 1, fs_jpim1 ! vector opt. |
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546 | ! i-gradient of T and S at jj |
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547 | zwx (ji,jj,jk) = ( tb(ji+1,jj,jk)-tb(ji,jj,jk) ) * umask(ji,jj,jk) |
---|
548 | zwy (ji,jj,jk) = ( sb(ji+1,jj,jk)-sb(ji,jj,jk) ) * umask(ji,jj,jk) |
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549 | ! j-gradient of T and S at jj |
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550 | zwz (ji,jj,jk) = ( tb(ji,jj+1,jk)-tb(ji,jj,jk) ) * vmask(ji,jj,jk) |
---|
551 | zwt (ji,jj,jk) = ( sb(ji,jj+1,jk)-sb(ji,jj,jk) ) * vmask(ji,jj,jk) |
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552 | END DO |
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553 | END DO |
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554 | END DO |
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555 | # if defined key_partial_steps |
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556 | ! partial steps correction at the bottom ocean level |
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557 | DO jj = 1, jpjm1 |
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558 | DO ji = 1, fs_jpim1 ! vector opt. |
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559 | ! last ocean level |
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560 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
---|
561 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
---|
562 | ! i-gradient of T and S |
---|
563 | zwx (ji,jj,iku) = gtu(ji,jj) |
---|
564 | zwy (ji,jj,iku) = gsu(ji,jj) |
---|
565 | ! j-gradient of T and S |
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566 | zwz (ji,jj,ikv) = gtv(ji,jj) |
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567 | zwt (ji,jj,ikv) = gsv(ji,jj) |
---|
568 | END DO |
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569 | END DO |
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570 | #endif |
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571 | |
---|
572 | |
---|
573 | ! I.2 Vertical fluxes |
---|
574 | ! ------------------- |
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575 | |
---|
576 | ! Surface and bottom vertical fluxes set to zero |
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577 | ztfw(:,:, 1 ) = 0.e0 |
---|
578 | zsfw(:,:, 1 ) = 0.e0 |
---|
579 | ztfw(:,:,jpk) = 0.e0 |
---|
580 | zsfw(:,:,jpk) = 0.e0 |
---|
581 | |
---|
582 | ! interior (2=<jk=<jpk-1) |
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583 | DO jk = 2, jpkm1 |
---|
584 | DO jj = 2, jpjm1 |
---|
585 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
586 | zcoef0 = - fsahtw(ji,jj,jk) * tmask(ji,jj,jk) |
---|
587 | |
---|
588 | zmku = 1./MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
---|
589 | + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1. ) |
---|
590 | |
---|
591 | zmkv = 1./MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
---|
592 | + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1. ) |
---|
593 | |
---|
594 | zcoef3 = zcoef0 * e2t(ji,jj) * zmku * wslpi (ji,jj,jk) |
---|
595 | zcoef4 = zcoef0 * e1t(ji,jj) * zmkv * wslpj (ji,jj,jk) |
---|
596 | |
---|
597 | ztfw(ji,jj,jk) = zcoef3 * ( zwx(ji ,jj ,jk-1) + zwx(ji-1,jj ,jk) & |
---|
598 | + zwx(ji-1,jj ,jk-1) + zwx(ji ,jj ,jk) ) & |
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599 | + zcoef4 * ( zwz(ji ,jj ,jk-1) + zwz(ji ,jj-1,jk) & |
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600 | + zwz(ji ,jj-1,jk-1) + zwz(ji ,jj ,jk) ) |
---|
601 | |
---|
602 | zsfw(ji,jj,jk) = zcoef3 * ( zwy(ji ,jj ,jk-1) + zwy(ji-1,jj ,jk) & |
---|
603 | + zwy(ji-1,jj ,jk-1) + zwy(ji ,jj ,jk) ) & |
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604 | + zcoef4 * ( zwt(ji ,jj ,jk-1) + zwt(ji ,jj-1,jk) & |
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605 | + zwt(ji ,jj-1,jk-1) + zwt(ji ,jj ,jk) ) |
---|
606 | END DO |
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607 | END DO |
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608 | END DO |
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609 | |
---|
610 | #if defined key_traldf_eiv |
---|
611 | ! ! ---------------------------------------! |
---|
612 | ! ! Eddy induced vertical advective fluxes ! |
---|
613 | ! ! ---------------------------------------! |
---|
614 | zwx(:,:, 1 ) = 0.e0 |
---|
615 | zwy(:,:, 1 ) = 0.e0 |
---|
616 | zwx(:,:,jpk) = 0.e0 |
---|
617 | zwy(:,:,jpk) = 0.e0 |
---|
618 | |
---|
619 | DO jk = 2, jpkm1 |
---|
620 | DO jj = 2, jpjm1 |
---|
621 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
622 | # if defined key_traldf_c2d || defined key_traldf_c3d |
---|
623 | zuwki = ( wslpi(ji,jj,jk) + wslpi(ji-1,jj,jk) ) & |
---|
624 | & * fsaeiu(ji-1,jj,jk) * e2u(ji-1,jj) * umask(ji-1,jj,jk) |
---|
625 | zuwk = ( wslpi(ji,jj,jk) + wslpi(ji+1,jj,jk) ) & |
---|
626 | & * fsaeiu(ji ,jj,jk) * e2u(ji ,jj) * umask(ji ,jj,jk) |
---|
627 | zvwki = ( wslpj(ji,jj,jk) + wslpj(ji,jj-1,jk) ) & |
---|
628 | & * fsaeiv(ji,jj-1,jk) * e1v(ji,jj-1) * vmask(ji,jj-1,jk) |
---|
629 | zvwk = ( wslpj(ji,jj,jk) + wslpj(ji,jj+1,jk) ) & |
---|
630 | & * fsaeiv(ji,jj ,jk) * e1v(ji ,jj) * vmask(ji ,jj,jk) |
---|
631 | |
---|
632 | zcoeg3 = + 0.25 * tmask(ji,jj,jk) * ( zuwk - zuwki + zvwk - zvwki ) |
---|
633 | # else |
---|
634 | zuwki = ( wslpi(ji,jj,jk) + wslpi(ji-1,jj,jk) ) & |
---|
635 | & * e2u(ji-1,jj) * umask(ji-1,jj,jk) |
---|
636 | zuwk = ( wslpi(ji,jj,jk) + wslpi(ji+1,jj,jk) ) & |
---|
637 | & * e2u(ji ,jj) * umask(ji ,jj,jk) |
---|
638 | zvwki = ( wslpj(ji,jj,jk) + wslpj(ji,jj-1,jk) ) & |
---|
639 | & * e1v(ji,jj-1) * vmask(ji,jj-1,jk) |
---|
640 | zvwk = ( wslpj(ji,jj,jk) + wslpj(ji,jj+1,jk) ) & |
---|
641 | & * e1v(ji ,jj) * vmask(ji ,jj,jk) |
---|
642 | |
---|
643 | zcoeg3 = + 0.25 * tmask(ji,jj,jk) * fsaeiw(ji,jj,jk) & |
---|
644 | & * ( zuwk - zuwki + zvwk - zvwki ) |
---|
645 | # endif |
---|
646 | zwx(ji,jj,jk) = + zcoeg3 * ( tb(ji,jj,jk) + tb(ji,jj,jk-1) ) |
---|
647 | zwy(ji,jj,jk) = + zcoeg3 * ( sb(ji,jj,jk) + sb(ji,jj,jk-1) ) |
---|
648 | |
---|
649 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) + zwx(ji,jj,jk) |
---|
650 | zsfw(ji,jj,jk) = zsfw(ji,jj,jk) + zwy(ji,jj,jk) |
---|
651 | # if defined key_diaeiv |
---|
652 | w_eiv(ji,jj,jk) = -2. * zcoeg3 / ( e1t(ji,jj)*e2t(ji,jj) ) |
---|
653 | # endif |
---|
654 | END DO |
---|
655 | END DO |
---|
656 | END DO |
---|
657 | #endif |
---|
658 | |
---|
659 | ! I.5 Divergence of vertical fluxes added to the general tracer trend |
---|
660 | ! ------------------------------------------------------------------- |
---|
661 | |
---|
662 | DO jk = 1, jpkm1 |
---|
663 | DO jj = 2, jpjm1 |
---|
664 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
665 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
---|
666 | ztav = ( ztfw(ji,jj,jk) - ztfw(ji,jj,jk+1) ) * zbtr |
---|
667 | zsav = ( zsfw(ji,jj,jk) - zsfw(ji,jj,jk+1) ) * zbtr |
---|
668 | ta(ji,jj,jk) = ta(ji,jj,jk) + ztav |
---|
669 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsav |
---|
670 | #if defined key_trdtra || defined key_trdmld |
---|
671 | # if defined key_traldf_eiv |
---|
672 | ztavg = ( zwx(ji,jj,jk) - zwx(ji,jj,jk+1) ) * zbtr |
---|
673 | zsavg = ( zwy(ji,jj,jk) - zwy(ji,jj,jk+1) ) * zbtr |
---|
674 | ! WARNING ttrd(ji,jj,jk,6) used for vertical gent velocity trend not for damping !!! |
---|
675 | ttrd(ji,jj,jk,6) = ztavg |
---|
676 | strd(ji,jj,jk,6) = zsavg |
---|
677 | # endif |
---|
678 | ttrd(ji,jj,jk,4) = ztav - ztavg |
---|
679 | strd(ji,jj,jk,4) = zsav - zsavg |
---|
680 | #endif |
---|
681 | END DO |
---|
682 | END DO |
---|
683 | END DO |
---|
684 | |
---|
685 | END SUBROUTINE tra_zdf_iso |
---|
686 | |
---|
687 | #else |
---|
688 | !!---------------------------------------------------------------------- |
---|
689 | !! Dummy module : NO rotation of the lateral mixing tensor |
---|
690 | !!---------------------------------------------------------------------- |
---|
691 | CONTAINS |
---|
692 | SUBROUTINE tra_zdf_iso_vopt( kt ) ! empty routine |
---|
693 | WRITE(*,*) 'tra_zdf_iso_vopt: You should not have seen this print! error?', kt |
---|
694 | END SUBROUTINE tra_zdf_iso_vopt |
---|
695 | #endif |
---|
696 | |
---|
697 | !!============================================================================== |
---|
698 | END MODULE trazdf_iso_vopt |
---|