1 | MODULE traadv_cen2_tam |
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2 | #if defined key_tam |
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3 | !!====================================================================== |
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4 | !! *** MODULE traadv_cen2_tam *** |
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5 | !! Ocean active tracers: horizontal & vertical advective trend |
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6 | !! Tangent and Adjoint module |
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7 | !!====================================================================== |
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8 | !! History of the direct module: |
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9 | !! 8.2 ! 01-08 (G. Madec, E. Durand) trahad+trazad=traadv |
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10 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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11 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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12 | !! " " ! 05-11 (V. Garnier) Surface pressure gradient organization |
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13 | !! " " ! 06-04 (R. Benshila, G. Madec) Step reorganization |
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14 | !! " " ! 06-07 (G. madec) add ups_orca_set routine |
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15 | !! History of the T&A module |
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16 | !! 9.0 ! 08-12 (A. Vidard) original version |
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17 | !!---------------------------------------------------------------------- |
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18 | |
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19 | !!---------------------------------------------------------------------- |
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20 | !! tra_adv_cen2 : update the tracer trend with the horizontal and |
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21 | !! vertical advection trends using a seconder order |
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22 | !! ups_orca_set : allow mixed upstream/centered scheme in specific |
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23 | !! area (set for orca 2 and 4 only) |
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24 | !!---------------------------------------------------------------------- |
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25 | USE par_kind , ONLY: & ! Precision variables |
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26 | & wp |
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27 | USE par_oce , ONLY: & ! Ocean space and time domain variables |
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28 | & jpi, & |
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29 | & jpj, & |
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30 | & jpk, & |
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31 | & jpim1, & |
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32 | & jpjm1, & |
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33 | & jpkm1, & |
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34 | & jpiglo, & |
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35 | & jp_cfg |
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36 | USE oce , ONLY: & ! ocean dynamics and active tracers |
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37 | & un, & |
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38 | & vn, & |
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39 | & tb, sb, & |
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40 | & wn, & |
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41 | & tn, & |
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42 | & sn |
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43 | USE oce_tam , ONLY: & ! ocean dynamics and active tracers |
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44 | & un_tl, & |
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45 | & vn_tl, & |
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46 | & tb_tl, sb_tl, & |
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47 | & wn_tl, & |
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48 | & tn_tl, & |
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49 | & sn_tl, & |
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50 | & ta_tl, & |
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51 | & sa_tl, & |
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52 | & tn_ad, & |
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53 | & sn_ad, & |
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54 | & ta_ad, & |
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55 | & sa_ad |
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56 | USE dom_oce , ONLY: & ! ocean space and time domain |
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57 | & tmask, & |
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58 | & e1t, & |
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59 | & e2t, & |
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60 | & e2u, & |
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61 | & e1v, & |
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62 | # if defined key_vvl |
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63 | & e3t_1, & |
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64 | # else |
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65 | # if defined key_zco |
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66 | & e3t_0, & |
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67 | # else |
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68 | & e3t, & |
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69 | # endif |
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70 | # endif |
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71 | # if defined key_zco |
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72 | & e3t_0, & |
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73 | # else |
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74 | & e3u, & |
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75 | & e3v, & |
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76 | # endif |
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77 | & lk_vvl, & |
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78 | & tmask, & |
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79 | & mig, & |
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80 | & mjg, & |
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81 | & nldi, & |
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82 | & nldj, & |
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83 | & nlei, & |
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84 | & nlej |
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85 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
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86 | & grid_random |
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87 | USE dotprodfld , ONLY: & ! Computes dot product for 3D and 2D fields |
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88 | & dot_product |
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89 | |
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90 | ! USE sbc_oce ! surface boundary condition: ocean |
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91 | USE dynspg_oce , ONLY: & ! choice/control of key cpp for surface pressure gradient |
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92 | & lk_dynspg_rl |
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93 | ! USE eosbn2 ! equation of state |
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94 | ! USE trdmod ! ocean active tracers trends |
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95 | ! USE closea ! closed sea |
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96 | ! USE trabbl ! advective term in the BBL |
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97 | ! USE sbcmod ! surface Boundary Condition |
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98 | ! USE sbcrnf ! river runoffs |
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99 | USE in_out_manager, ONLY: & ! I/O manager |
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100 | & lwp, & |
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101 | & numout, & |
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102 | & nitend, & |
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103 | & nit000 |
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104 | ! USE lib_mpp |
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105 | ! USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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106 | ! USE diaptr ! poleward transport diagnostics |
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107 | ! USE prtctl ! Print control |
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108 | USE zdf_oce , ONLY: & ! ocean vertical physics |
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109 | & avmb, & |
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110 | & avtb |
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111 | USE tstool_tam , ONLY: & |
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112 | & prntst_adj, & ! |
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113 | & prntst_tlm, & ! |
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114 | & stdu, & ! stdev for u-velocity |
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115 | & stdv, & ! stdev for v-velocity |
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116 | & stdw, & ! stdev for w-velocity |
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117 | & stdt, & ! stdev for temperature |
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118 | & stds ! salinity |
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119 | USE paresp , ONLY: & |
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120 | & wesp_t, & |
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121 | & wesp_s |
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122 | |
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123 | IMPLICIT NONE |
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124 | PRIVATE |
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125 | |
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126 | PUBLIC tra_adv_cen2_tan ! routine called by traadv_tam.F90 |
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127 | PUBLIC tra_adv_cen2_adj ! routine called by traadv_tam.F90 |
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128 | PUBLIC tra_adv_cen2_adj_tst! routine called by tst.F90 |
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129 | #if defined key_tst_tlm |
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130 | PUBLIC tra_adv_cen2_tlm_tst! routine called by tamtst.F90 |
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131 | #endif |
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132 | |
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133 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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134 | & btr2 ! inverse of T-point surface [1/(e1t*e2t)] |
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135 | |
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136 | !! * Substitutions |
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137 | # include "domzgr_substitute.h90" |
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138 | # include "vectopt_loop_substitute.h90" |
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139 | !!---------------------------------------------------------------------- |
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140 | !! OPA 9.0 , LOCEAN-IPSL (2006) |
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141 | !! $Id: traadv_cen2.F90 1201 2008-09-24 13:24:21Z rblod $ |
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142 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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143 | !!---------------------------------------------------------------------- |
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144 | |
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145 | CONTAINS |
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146 | |
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147 | SUBROUTINE tra_adv_cen2_tan( kt, pun, pvn, pwn, pun_tl, pvn_tl, pwn_tl ) |
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148 | !!---------------------------------------------------------------------- |
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149 | !! *** ROUTINE tra_adv_cen2_tan *** |
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150 | !! |
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151 | !! ** Purpose of the direct routine: |
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152 | !! Compute the now trend due to the advection of tracers |
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153 | !! and add it to the general trend of passive tracer equations. |
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154 | !! |
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155 | !! ** Method : The advection is evaluated by a second order centered |
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156 | !! scheme using now fields (leap-frog scheme). In specific areas |
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157 | !! (vicinity of major river mouths, some straits, or where tn is |
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158 | !! approaching the freezing point) it is mixed with an upstream |
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159 | !! scheme for stability reasons. |
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160 | !! Part 0 : compute the upstream / centered flag |
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161 | !! (3D array, zind, defined at T-point (0<zind<1)) |
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162 | !! Part I : horizontal advection |
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163 | !! * centered flux: |
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164 | !! zcenu = e2u*e3u un mi(tn) |
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165 | !! zcenv = e1v*e3v vn mj(tn) |
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166 | !! * upstream flux: |
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167 | !! zupsu = e2u*e3u un (tb(i) or tb(i-1) ) [un>0 or <0] |
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168 | !! zupsv = e1v*e3v vn (tb(j) or tb(j-1) ) [vn>0 or <0] |
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169 | !! * mixed upstream / centered horizontal advection scheme |
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170 | !! zcofi = max(zind(i+1), zind(i)) |
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171 | !! zcofj = max(zind(j+1), zind(j)) |
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172 | !! zwx = zcofi * zupsu + (1-zcofi) * zcenu |
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173 | !! zwy = zcofj * zupsv + (1-zcofj) * zcenv |
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174 | !! * horizontal advective trend (divergence of the fluxes) |
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175 | !! zta = 1/(e1t*e2t*e3t) { di-1[zwx] + dj-1[zwy] } |
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176 | !! * Add this trend now to the general trend of tracer (ta,sa): |
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177 | !! (ta,sa) = (ta,sa) + ( zta , zsa ) |
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178 | !! * trend diagnostic ('key_trdtra' defined): the trend is |
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179 | !! saved for diagnostics. The trends saved is expressed as |
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180 | !! Uh.gradh(T), i.e. |
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181 | !! save trend = zta + tn divn |
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182 | !! In addition, the advective trend in the two horizontal direc- |
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183 | !! tion is also re-computed as Uh gradh(T). Indeed hadt+tn divn is |
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184 | !! equal to (in s-coordinates, and similarly in z-coord.): |
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185 | !! zta+tn*divn=1/(e1t*e2t*e3t) { mi-1( e2u*e3u un di[tn] ) |
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186 | !! +mj-1( e1v*e3v vn mj[tn] ) } |
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187 | !! NB:in z-coordinate - full step (ln_zco=T) e3u=e3v=e3t, so |
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188 | !! they vanish from the expression of the flux and divergence. |
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189 | !! |
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190 | !! Part II : vertical advection |
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191 | !! For temperature (idem for salinity) the advective trend is com- |
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192 | !! puted as follows : |
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193 | !! zta = 1/e3t dk+1[ zwz ] |
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194 | !! where the vertical advective flux, zwz, is given by : |
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195 | !! zwz = zcofk * zupst + (1-zcofk) * zcent |
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196 | !! with |
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197 | !! zupsv = upstream flux = wn * (tb(k) or tb(k-1) ) [wn>0 or <0] |
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198 | !! zcenu = centered flux = wn * mk(tn) |
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199 | !! The surface boundary condition is : |
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200 | !! rigid-lid (lk_dynspg_frd = T) : zero advective flux |
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201 | !! free-surf (lk_dynspg_fsc = T) : wn(:,:,1) * tn(:,:,1) |
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202 | !! Add this trend now to the general trend of tracer (ta,sa): |
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203 | !! (ta,sa) = (ta,sa) + ( zta , zsa ) |
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204 | !! Trend diagnostic ('key_trdtra' defined): the trend is |
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205 | !! saved for diagnostics. The trends saved is expressed as : |
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206 | !! save trend = w.gradz(T) = zta - tn divn. |
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207 | !! |
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208 | !! ** Action : - update (ta,sa) with the now advective tracer trends |
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209 | !! - save trends in (ztrdt,ztrds) ('key_trdtra') |
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210 | !!---------------------------------------------------------------------- |
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211 | USE oce_tam, ONLY : zwxtl => ua_tl ! use ua as workspace |
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212 | USE oce_tam, ONLY : zwytl => va_tl ! use va as workspace |
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213 | !! |
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214 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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215 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun_tl ! ocean velocity u-component |
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216 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pvn_tl ! ocean velocity v-component |
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217 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pwn_tl ! ocean velocity w-component |
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218 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun ! ocean velocity u-component |
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219 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pvn ! ocean velocity v-component |
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220 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pwn ! ocean velocity w-component |
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221 | !! |
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222 | INTEGER :: ji, jj, jk ! dummy loop indices |
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223 | REAL(wp) :: ztatl, zsatl, zbtr, zhw, zhwtl, & ! temporary scalars |
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224 | & ze3tr, zfui , zfuitl , & ! " " |
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225 | & zfvj , zfvjtl ! " " |
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226 | REAL(wp) :: zice ! - - |
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227 | REAL(wp), DIMENSION(jpi,jpj) :: ztfreez ! 2D workspace |
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228 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwwtl, zwztl ! 3D workspace |
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229 | !!---------------------------------------------------------------------- |
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230 | IF( kt == nit000 ) THEN |
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231 | IF(lwp) WRITE(numout,*) |
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232 | IF(lwp) WRITE(numout,*) 'tra_adv_cen2_tam : 2nd order centered advection scheme' |
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233 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ Vector optimization case' |
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234 | IF(lwp) WRITE(numout,*) |
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235 | ! |
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236 | ! |
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237 | btr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) ! inverse of T-point surface |
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238 | IF ( jp_cfg == 2 ) THEN |
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239 | ! Increase the background in the surface layers |
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240 | avmb(1) = 10. * avmb(1) ; avtb(1) = 10. * avtb(1) |
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241 | avmb(2) = 10. * avmb(2) ; avtb(2) = 10. * avtb(2) |
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242 | avmb(3) = 5. * avmb(3) ; avtb(3) = 5. * avtb(3) |
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243 | avmb(4) = 2.5 * avmb(4) ; avtb(4) = 2.5 * avtb(4) |
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244 | ENDIF |
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245 | ENDIF |
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246 | |
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247 | ! I. Horizontal advective fluxes |
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248 | ! ------------------------------ |
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249 | ! Second order centered tracer flux at u and v-points |
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250 | ! ----------------------------------------------------- |
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251 | ! ! =============== |
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252 | DO jk = 1, jpkm1 ! Horizontal slab |
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253 | ! ! =============== |
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254 | DO jj = 1, jpjm1 |
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255 | DO ji = 1, fs_jpim1 ! vector opt. |
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256 | ! volume fluxes * 1/2 |
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257 | #if defined key_zco |
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258 | zfuitl = 0.5 * e2u(ji,jj) * pun_tl(ji,jj,jk) |
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259 | zfvjtl = 0.5 * e1v(ji,jj) * pvn_tl(ji,jj,jk) |
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260 | zfui = 0.5 * e2u(ji,jj) * pun(ji,jj,jk) |
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261 | zfvj = 0.5 * e1v(ji,jj) * pvn(ji,jj,jk) |
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262 | #else |
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263 | zfuitl = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun_tl(ji,jj,jk) |
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264 | zfvjtl = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn_tl(ji,jj,jk) |
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265 | zfui = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun(ji,jj,jk) |
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266 | zfvj = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn(ji,jj,jk) |
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267 | #endif |
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268 | ! centered scheme |
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269 | zwxtl(ji,jj,jk) = zfuitl * ( tn(ji,jj,jk) + tn(ji+1,jj,jk) ) & |
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270 | & + zfui * ( tn_tl(ji,jj,jk) + tn_tl(ji+1,jj,jk) ) |
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271 | zwytl(ji,jj,jk) = zfvjtl * ( tn(ji,jj,jk) + tn(ji,jj+1,jk) ) & |
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272 | & + zfvj * ( tn_tl(ji,jj,jk) + tn_tl(ji,jj+1,jk) ) |
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273 | zwwtl(ji,jj,jk) = zfuitl * ( sn(ji,jj,jk) + sn(ji+1,jj,jk) ) & |
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274 | & + zfui * ( sn_tl(ji,jj,jk) + sn_tl(ji+1,jj,jk) ) |
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275 | zwztl(ji,jj,jk) = zfvjtl * ( sn(ji,jj,jk) + sn(ji,jj+1,jk) ) & |
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276 | & + zfvj * ( sn_tl(ji,jj,jk) + sn_tl(ji,jj+1,jk) ) |
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277 | END DO |
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278 | END DO |
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279 | |
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280 | ! Tracer flux divergence at t-point added to the general trend |
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281 | ! -------------------------------------------------------------- |
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282 | DO jj = 2, jpjm1 |
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283 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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284 | #if defined key_zco |
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285 | zbtr = btr2(ji,jj) |
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286 | #else |
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287 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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288 | #endif |
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289 | ! horizontal advective trends |
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290 | ztatl = - zbtr * ( zwxtl(ji,jj,jk) - zwxtl(ji-1,jj ,jk) & |
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291 | & + zwytl(ji,jj,jk) - zwytl(ji ,jj-1,jk) ) |
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292 | zsatl = - zbtr * ( zwwtl(ji,jj,jk) - zwwtl(ji-1,jj ,jk) & |
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293 | & + zwztl(ji,jj,jk) - zwztl(ji ,jj-1,jk) ) |
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294 | ! add it to the general tracer trends |
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295 | ta_tl(ji,jj,jk) = ta_tl(ji,jj,jk) + ztatl |
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296 | sa_tl(ji,jj,jk) = sa_tl(ji,jj,jk) + zsatl |
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297 | END DO |
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298 | END DO |
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299 | ! ! =============== |
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300 | END DO ! End of slab |
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301 | ! ! =============== |
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302 | |
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303 | ! "zonal" mean advective heat and salt transport |
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304 | ! ---------------------------------------------- |
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305 | |
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306 | ! IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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307 | ! IF( lk_zco ) THEN |
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308 | ! DO jk = 1, jpkm1 |
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309 | ! DO jj = 2, jpjm1 |
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310 | ! DO ji = fs_2, fs_jpim1 ! vector opt. |
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311 | ! zwytl(ji,jj,jk) = zwytl(ji,jj,jk) * fse3v(ji,jj,jk) |
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312 | ! zwztl(ji,jj,jk) = zwztl(ji,jj,jk) * fse3v(ji,jj,jk) |
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313 | ! END DO |
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314 | ! END DO |
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315 | ! END DO |
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316 | ! ENDIF |
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317 | ! pht_adv(:) = ptr_vj( zwy(:,:,:) ) |
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318 | ! pst_adv(:) = ptr_vj( zwz(:,:,:) ) |
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319 | ! ENDIF |
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320 | |
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321 | ! II. Vertical advection |
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322 | ! ---------------------- |
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323 | |
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324 | ! Bottom value : flux set to zero |
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325 | zwxtl(:,:,jpk) = 0.e0 ; zwytl(:,:,jpk) = 0.e0 |
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326 | |
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327 | ! Surface value |
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328 | IF( lk_dynspg_rl .OR. lk_vvl ) THEN |
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329 | ! rigid lid or variable volume: flux set to zero |
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330 | zwxtl(:,:, 1 ) = 0.e0 ; zwytl(:,:, 1 ) = 0.e0 |
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331 | ELSE |
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332 | ! free surface |
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333 | zwxtl(:,:, 1 ) = pwn_tl(:,:,1) * tn(:,:,1) + pwn(:,:,1) * tn_tl(:,:,1) |
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334 | zwytl(:,:, 1 ) = pwn_tl(:,:,1) * sn(:,:,1) + pwn(:,:,1) * sn_tl(:,:,1) |
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335 | ENDIF |
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336 | |
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337 | ! 1. Vertical advective fluxes |
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338 | ! ---------------------------- |
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339 | ! Second order centered tracer flux at w-point |
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340 | DO jk = 2, jpk |
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341 | DO jj = 2, jpjm1 |
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342 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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343 | ! velocity * 1/2 |
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344 | zhwtl = 0.5 * pwn_tl(ji,jj,jk) |
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345 | zhw = 0.5 * pwn( ji,jj,jk) |
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346 | ! centered scheme |
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347 | zwxtl(ji,jj,jk) = zhwtl * ( tn( ji,jj,jk) + tn( ji,jj,jk-1) ) & |
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348 | & + zhw * ( tn_tl(ji,jj,jk) + tn_tl(ji,jj,jk-1) ) |
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349 | zwytl(ji,jj,jk) = zhwtl * ( sn( ji,jj,jk) + sn( ji,jj,jk-1) ) & |
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350 | & + zhw * ( sn_tl(ji,jj,jk) + sn_tl(ji,jj,jk-1) ) |
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351 | END DO |
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352 | END DO |
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353 | END DO |
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354 | |
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355 | ! 2. Tracer flux divergence at t-point added to the general trend |
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356 | ! ------------------------- |
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357 | DO jk = 1, jpkm1 |
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358 | DO jj = 2, jpjm1 |
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359 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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360 | ze3tr = 1. / fse3t(ji,jj,jk) |
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361 | ! vertical advective trends |
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362 | ztatl = - ze3tr * ( zwxtl(ji,jj,jk) - zwxtl(ji,jj,jk+1) ) |
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363 | zsatl = - ze3tr * ( zwytl(ji,jj,jk) - zwytl(ji,jj,jk+1) ) |
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364 | ! add it to the general tracer trends |
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365 | ta_tl(ji,jj,jk) = ta_tl(ji,jj,jk) + ztatl |
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366 | sa_tl(ji,jj,jk) = sa_tl(ji,jj,jk) + zsatl |
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367 | END DO |
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368 | END DO |
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369 | END DO |
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370 | |
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371 | |
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372 | ! |
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373 | END SUBROUTINE tra_adv_cen2_tan |
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374 | |
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375 | SUBROUTINE tra_adv_cen2_adj( kt, pun, pvn, pwn, pun_ad, pvn_ad, pwn_ad ) |
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376 | !!---------------------------------------------------------------------- |
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377 | !! *** ROUTINE tra_adv_cen2_adj *** |
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378 | !! |
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379 | !! ** Purpose of the direct routine: |
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380 | !! Compute the now trend due to the advection of tracers |
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381 | !! and add it to the general trend of passive tracer equations. |
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382 | !! |
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383 | !! ** Method : The advection is evaluated by a second order centered |
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384 | !! scheme using now fields (leap-frog scheme). In specific areas |
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385 | !! (vicinity of major river mouths, some straits, or where tn is |
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386 | !! approaching the freezing point) it is mixed with an upstream |
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387 | !! scheme for stability reasons. |
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388 | !! Part 0 : compute the upstream / centered flag |
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389 | !! (3D array, zind, defined at T-point (0<zind<1)) |
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390 | !! Part I : horizontal advection |
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391 | !! * centered flux: |
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392 | !! zcenu = e2u*e3u un mi(tn) |
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393 | !! zcenv = e1v*e3v vn mj(tn) |
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394 | !! * upstream flux: |
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395 | !! zupsu = e2u*e3u un (tb(i) or tb(i-1) ) [un>0 or <0] |
---|
396 | !! zupsv = e1v*e3v vn (tb(j) or tb(j-1) ) [vn>0 or <0] |
---|
397 | !! * mixed upstream / centered horizontal advection scheme |
---|
398 | !! zcofi = max(zind(i+1), zind(i)) |
---|
399 | !! zcofj = max(zind(j+1), zind(j)) |
---|
400 | !! zwx = zcofi * zupsu + (1-zcofi) * zcenu |
---|
401 | !! zwy = zcofj * zupsv + (1-zcofj) * zcenv |
---|
402 | !! * horizontal advective trend (divergence of the fluxes) |
---|
403 | !! zta = 1/(e1t*e2t*e3t) { di-1[zwx] + dj-1[zwy] } |
---|
404 | !! * Add this trend now to the general trend of tracer (ta,sa): |
---|
405 | !! (ta,sa) = (ta,sa) + ( zta , zsa ) |
---|
406 | !! * trend diagnostic ('key_trdtra' defined): the trend is |
---|
407 | !! saved for diagnostics. The trends saved is expressed as |
---|
408 | !! Uh.gradh(T), i.e. |
---|
409 | !! save trend = zta + tn divn |
---|
410 | !! In addition, the advective trend in the two horizontal direc- |
---|
411 | !! tion is also re-computed as Uh gradh(T). Indeed hadt+tn divn is |
---|
412 | !! equal to (in s-coordinates, and similarly in z-coord.): |
---|
413 | !! zta+tn*divn=1/(e1t*e2t*e3t) { mi-1( e2u*e3u un di[tn] ) |
---|
414 | !! +mj-1( e1v*e3v vn mj[tn] ) } |
---|
415 | !! NB:in z-coordinate - full step (ln_zco=T) e3u=e3v=e3t, so |
---|
416 | !! they vanish from the expression of the flux and divergence. |
---|
417 | !! |
---|
418 | !! Part II : vertical advection |
---|
419 | !! For temperature (idem for salinity) the advective trend is com- |
---|
420 | !! puted as follows : |
---|
421 | !! zta = 1/e3t dk+1[ zwz ] |
---|
422 | !! where the vertical advective flux, zwz, is given by : |
---|
423 | !! zwz = zcofk * zupst + (1-zcofk) * zcent |
---|
424 | !! with |
---|
425 | !! zupsv = upstream flux = wn * (tb(k) or tb(k-1) ) [wn>0 or <0] |
---|
426 | !! zcenu = centered flux = wn * mk(tn) |
---|
427 | !! The surface boundary condition is : |
---|
428 | !! rigid-lid (lk_dynspg_frd = T) : zero advective flux |
---|
429 | !! free-surf (lk_dynspg_fsc = T) : wn(:,:,1) * tn(:,:,1) |
---|
430 | !! Add this trend now to the general trend of tracer (ta,sa): |
---|
431 | !! (ta,sa) = (ta,sa) + ( zta , zsa ) |
---|
432 | !! Trend diagnostic ('key_trdtra' defined): the trend is |
---|
433 | !! saved for diagnostics. The trends saved is expressed as : |
---|
434 | !! save trend = w.gradz(T) = zta - tn divn. |
---|
435 | !! |
---|
436 | !! ** Action : - update (ta,sa) with the now advective tracer trends |
---|
437 | !! - save trends in (ztrdt,ztrds) ('key_trdtra') |
---|
438 | !!---------------------------------------------------------------------- |
---|
439 | USE oce_tam, ONLY : zwxad => ua_ad ! use ua as workspace |
---|
440 | USE oce_tam, ONLY : zwyad => va_ad ! use va as workspace |
---|
441 | !! |
---|
442 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
---|
443 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pun_ad ! ocean velocity u-component |
---|
444 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pvn_ad ! ocean velocity v-component |
---|
445 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pwn_ad ! ocean velocity w-component |
---|
446 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun ! ocean velocity u-component |
---|
447 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pvn ! ocean velocity v-component |
---|
448 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pwn ! ocean velocity w-component |
---|
449 | !! |
---|
450 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
451 | REAL(wp) :: ztaad, zsaad, zbtr, zhw, zhwad, & ! temporary scalars |
---|
452 | & ze3tr, zfui , zfuiad , & ! " " |
---|
453 | & zfvj , zfvjad ! " " |
---|
454 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwwad, zwzad ! 3D workspace |
---|
455 | !!---------------------------------------------------------------------- |
---|
456 | ztaad = 0.0_wp ; zsaad = 0.0_wp ; zhwad = 0.0_wp ; zfuiad = 0.0_wp ; zfvjad = 0.0_wp |
---|
457 | zwxad(:,:,:) = 0.0_wp ; zwyad(:,:,:) = 0.0_wp ; zwwad(:,:,:) = 0.0_wp ; zwzad(:,:,:) = 0.0_wp |
---|
458 | |
---|
459 | IF( kt == nitend ) THEN |
---|
460 | IF(lwp) WRITE(numout,*) |
---|
461 | IF(lwp) WRITE(numout,*) 'tra_adv_cen2_tam : 2nd order centered advection scheme' |
---|
462 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ Vector optimization case' |
---|
463 | IF(lwp) WRITE(numout,*) |
---|
464 | ! |
---|
465 | ! |
---|
466 | btr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) ! inverse of T-point surface |
---|
467 | IF ( jp_cfg == 2 ) THEN |
---|
468 | ! Increase the background in the surface layers |
---|
469 | avmb(1) = 10. * avmb(1) ; avtb(1) = 10. * avtb(1) |
---|
470 | avmb(2) = 10. * avmb(2) ; avtb(2) = 10. * avtb(2) |
---|
471 | avmb(3) = 5. * avmb(3) ; avtb(3) = 5. * avtb(3) |
---|
472 | avmb(4) = 2.5 * avmb(4) ; avtb(4) = 2.5 * avtb(4) |
---|
473 | ENDIF |
---|
474 | ENDIF |
---|
475 | ! II. Vertical advection |
---|
476 | ! ---------------------- |
---|
477 | ! 2. Tracer flux divergence at t-point added to the general trend |
---|
478 | ! ------------------------- |
---|
479 | DO jk = jpkm1, 1, -1 |
---|
480 | DO jj = 2, jpjm1 |
---|
481 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
482 | ze3tr = 1. / fse3t(ji,jj,jk) |
---|
483 | ! add it to the general tracer trends |
---|
484 | ztaad = ta_ad(ji,jj,jk) + ztaad |
---|
485 | zsaad = sa_ad(ji,jj,jk) + zsaad |
---|
486 | ! vertical advective trends |
---|
487 | zwxad(ji,jj,jk) = zwxad(ji,jj,jk) - ze3tr * ztaad |
---|
488 | zwxad(ji,jj,jk+1) = zwxad(ji,jj,jk+1) + ze3tr * ztaad |
---|
489 | zwyad(ji,jj,jk) = zwyad(ji,jj,jk) - ze3tr * zsaad |
---|
490 | zwyad(ji,jj,jk+1) = zwyad(ji,jj,jk+1) + ze3tr * zsaad |
---|
491 | ztaad = 0.0_wp |
---|
492 | zsaad = 0.0_wp |
---|
493 | END DO |
---|
494 | END DO |
---|
495 | END DO |
---|
496 | ! 1. Vertical advective fluxes |
---|
497 | ! ---------------------------- |
---|
498 | ! Second order centered tracer flux at w-point |
---|
499 | DO jk = jpk, 2, -1 |
---|
500 | DO jj = 2, jpjm1 |
---|
501 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
502 | ! velocity * 1/2 |
---|
503 | zhw = 0.5 * pwn( ji,jj,jk) |
---|
504 | ! centered scheme |
---|
505 | zhwad = zhwad + zwxad(ji,jj,jk) * ( tn( ji,jj,jk) + tn( ji,jj,jk-1) ) |
---|
506 | tn_ad(ji,jj,jk) = tn_ad(ji,jj,jk) + zwxad(ji,jj,jk) * zhw |
---|
507 | tn_ad(ji,jj,jk-1) = tn_ad(ji,jj,jk-1) + zwxad(ji,jj,jk) * zhw |
---|
508 | zwxad(ji,jj,jk) = 0.0_wp |
---|
509 | zhwad = zhwad + zwyad(ji,jj,jk) * ( sn( ji,jj,jk) + sn( ji,jj,jk-1) ) |
---|
510 | sn_ad(ji,jj,jk) = sn_ad(ji,jj,jk) + zwyad(ji,jj,jk) * zhw |
---|
511 | sn_ad(ji,jj,jk-1) = sn_ad(ji,jj,jk-1) + zwyad(ji,jj,jk) * zhw |
---|
512 | zwyad(ji,jj,jk) = 0.0_wp |
---|
513 | ! velocity * 1/2 |
---|
514 | pwn_ad(ji,jj,jk) = pwn_ad(ji,jj,jk) + 0.5 * zhwad |
---|
515 | zhwad = 0.0_wp |
---|
516 | END DO |
---|
517 | END DO |
---|
518 | END DO |
---|
519 | ! Surface value |
---|
520 | IF( lk_dynspg_rl .OR. lk_vvl ) THEN |
---|
521 | ! rigid lid or variable volume: flux set to zero |
---|
522 | zwxad(:,:, 1 ) = 0.0_wp ; zwyad(:,:, 1 ) = 0.0_wp |
---|
523 | ELSE |
---|
524 | ! free surface |
---|
525 | pwn_ad(:,:,1) = pwn_ad(:,:,1) + zwxad(:,:, 1 ) * tn(:,:,1) |
---|
526 | tn_ad(:,:,1) = tn_ad(:,:,1) + zwxad(:,:, 1 ) * pwn(:,:,1) |
---|
527 | pwn_ad(:,:,1) = pwn_ad(:,:,1) + zwyad(:,:, 1 ) * sn(:,:,1) |
---|
528 | sn_ad(:,:,1) = sn_ad(:,:,1) + zwyad(:,:, 1 ) * pwn(:,:,1) |
---|
529 | zwxad(:,:, 1 ) = 0.0_wp |
---|
530 | zwyad(:,:, 1 ) = 0.0_wp |
---|
531 | ENDIF |
---|
532 | |
---|
533 | ! Bottom value : flux set to zero |
---|
534 | zwxad(:,:,jpk) = 0.0_wp ; zwyad(:,:,jpk) = 0.0_wp |
---|
535 | ! "zonal" mean advective heat and salt transport |
---|
536 | ! ---------------------------------------------- |
---|
537 | |
---|
538 | ! IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
---|
539 | ! IF( lk_zco ) THEN |
---|
540 | ! DO jk = 1, jpkm1 |
---|
541 | ! DO jj = 2, jpjm1 |
---|
542 | ! DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
543 | ! zwyad(ji,jj,jk) = zwyad(ji,jj,jk) * fse3v(ji,jj,jk) |
---|
544 | ! zwzad(ji,jj,jk) = zwzad(ji,jj,jk) * fse3v(ji,jj,jk) |
---|
545 | ! END DO |
---|
546 | ! END DO |
---|
547 | ! END DO |
---|
548 | ! ENDIF |
---|
549 | ! pht_adv(:) = ptr_vj( zwy(:,:,:) ) |
---|
550 | ! pst_adv(:) = ptr_vj( zwz(:,:,:) ) |
---|
551 | ! ENDIF |
---|
552 | ! |
---|
553 | ! I. Horizontal advective fluxes |
---|
554 | ! ------------------------------ |
---|
555 | ! Second order centered tracer flux at u and v-points |
---|
556 | ! ----------------------------------------------------- |
---|
557 | ! ! =============== |
---|
558 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
559 | ! ! =============== |
---|
560 | ! Tracer flux divergence at t-point added to the general trend |
---|
561 | ! -------------------------------------------------------------- |
---|
562 | DO jj = jpjm1, 2, -1 |
---|
563 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
564 | #if defined key_zco |
---|
565 | zbtr = btr2(ji,jj) |
---|
566 | #else |
---|
567 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
---|
568 | #endif |
---|
569 | ! add it to the general tracer trends |
---|
570 | ztaad = ta_ad(ji,jj,jk) + ztaad |
---|
571 | zsaad = sa_ad(ji,jj,jk) + zsaad |
---|
572 | ! horizontal advective trends |
---|
573 | zwxad(ji,jj,jk) = zwxad(ji,jj,jk) - zbtr * ztaad |
---|
574 | zwxad(ji-1,jj,jk) = zwxad(ji-1,jj,jk) + zbtr * ztaad |
---|
575 | zwyad(ji,jj,jk) = zwyad(ji,jj,jk) - zbtr * ztaad |
---|
576 | zwyad(ji ,jj-1,jk) = zwyad(ji ,jj-1,jk) + zbtr * ztaad |
---|
577 | ztaad = 0.0_wp |
---|
578 | zwwad(ji,jj,jk) = zwwad(ji,jj,jk) - zsaad * zbtr |
---|
579 | zwwad(ji-1,jj ,jk) = zwwad(ji-1,jj ,jk) + zsaad * zbtr |
---|
580 | zwzad(ji,jj,jk) = zwzad(ji,jj,jk) - zsaad * zbtr |
---|
581 | zwzad(ji ,jj-1,jk) = zwzad(ji ,jj-1,jk) + zsaad * zbtr |
---|
582 | zsaad = 0.0_wp |
---|
583 | END DO |
---|
584 | END DO |
---|
585 | DO jj = jpjm1, 1, -1 |
---|
586 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
587 | ! volume fluxes * 1/2 |
---|
588 | #if defined key_zco |
---|
589 | zfui = 0.5 * e2u(ji,jj) * pun(ji,jj,jk) |
---|
590 | zfvj = 0.5 * e1v(ji,jj) * pvn(ji,jj,jk) |
---|
591 | #else |
---|
592 | zfui = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun(ji,jj,jk) |
---|
593 | zfvj = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn(ji,jj,jk) |
---|
594 | #endif |
---|
595 | ! centered scheme |
---|
596 | zfuiad = zfuiad + zwxad(ji,jj,jk) * ( tn(ji,jj,jk) + tn(ji+1,jj,jk) ) |
---|
597 | tn_ad(ji,jj,jk) = tn_ad(ji,jj,jk) + zwxad(ji,jj,jk) * zfui |
---|
598 | tn_ad(ji+1,jj,jk) = tn_ad(ji+1,jj,jk) + zwxad(ji,jj,jk) * zfui |
---|
599 | zwxad(ji,jj,jk) = 0.0_wp |
---|
600 | zfvjad = zfvjad + zwyad(ji,jj,jk) * ( tn(ji,jj,jk) + tn(ji,jj+1,jk) ) |
---|
601 | tn_ad(ji,jj,jk) = tn_ad(ji,jj,jk) + zwyad(ji,jj,jk) * zfvj |
---|
602 | tn_ad(ji,jj+1,jk) = tn_ad(ji,jj+1,jk) + zwyad(ji,jj,jk) * zfvj |
---|
603 | zwyad(ji,jj,jk) = 0.0_wp |
---|
604 | zfuiad = zfuiad + zwwad(ji,jj,jk) * ( sn(ji,jj,jk) + sn(ji+1,jj,jk) ) |
---|
605 | sn_ad(ji,jj,jk) = sn_ad(ji,jj,jk) + zwwad(ji,jj,jk) * zfui |
---|
606 | sn_ad(ji+1,jj,jk) = sn_ad(ji+1,jj,jk) + zwwad(ji,jj,jk) * zfui |
---|
607 | zwwad(ji,jj,jk) = 0.0_wp |
---|
608 | zfvjad = zfvjad + zwzad(ji,jj,jk) * ( sn(ji,jj,jk) + sn(ji,jj+1,jk) ) |
---|
609 | sn_ad(ji,jj,jk) = sn_ad(ji,jj,jk) + zwzad(ji,jj,jk) * zfvj |
---|
610 | sn_ad(ji,jj+1,jk) = sn_ad(ji,jj+1,jk) + zwzad(ji,jj,jk) * zfvj |
---|
611 | zwzad(ji,jj,jk) = 0.0_wp |
---|
612 | #if defined key_zco |
---|
613 | pun_ad(ji,jj,jk) = pun_ad(ji,jj,jk) + 0.5 * e2u(ji,jj) * zfuiad |
---|
614 | pvn_ad(ji,jj,jk) = pvn_ad(ji,jj,jk) + 0.5 * e1v(ji,jj) * zfvjad |
---|
615 | zfuiad = 0.0_wp |
---|
616 | zfvjad = 0.0_wp |
---|
617 | #else |
---|
618 | pun_ad(ji,jj,jk) = pun_ad(ji,jj,jk) + 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * zfuiad |
---|
619 | pvn_ad(ji,jj,jk) = pvn_ad(ji,jj,jk) + 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * zfvjad |
---|
620 | zfuiad = 0.0_wp |
---|
621 | zfvjad = 0.0_wp |
---|
622 | #endif |
---|
623 | END DO |
---|
624 | END DO |
---|
625 | ! ! =============== |
---|
626 | END DO ! End of slab |
---|
627 | ! ! =============== |
---|
628 | |
---|
629 | |
---|
630 | ! |
---|
631 | END SUBROUTINE tra_adv_cen2_adj |
---|
632 | SUBROUTINE tra_adv_cen2_adj_tst( kumadt ) |
---|
633 | !!----------------------------------------------------------------------- |
---|
634 | !! |
---|
635 | !! *** ROUTINE tra_adv_cen2_adj_tst *** |
---|
636 | !! |
---|
637 | !! ** Purpose : Test the adjoint routine. |
---|
638 | !! |
---|
639 | !! ** Method : Verify the scalar product |
---|
640 | !! |
---|
641 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
642 | !! |
---|
643 | !! where L = tangent routine |
---|
644 | !! L^T = adjoint routine |
---|
645 | !! W = diagonal matrix of scale factors |
---|
646 | !! dx = input perturbation (random field) |
---|
647 | !! dy = L dx |
---|
648 | !! |
---|
649 | !! |
---|
650 | !! History : |
---|
651 | !! ! 08-08 (A. Vidard) |
---|
652 | !!----------------------------------------------------------------------- |
---|
653 | !! * Modules used |
---|
654 | |
---|
655 | !! * Arguments |
---|
656 | INTEGER, INTENT(IN) :: & |
---|
657 | & kumadt ! Output unit |
---|
658 | |
---|
659 | !! * Local declarations |
---|
660 | INTEGER :: & |
---|
661 | & ji, & ! dummy loop indices |
---|
662 | & jj, & |
---|
663 | & jk |
---|
664 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
665 | & iseed_2d ! 2D seed for the random number generator |
---|
666 | REAL(KIND=wp) :: & |
---|
667 | & zsp1, & ! scalar product involving the tangent routine |
---|
668 | & zsp2 ! scalar product involving the adjoint routine |
---|
669 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
670 | & zun_tlin , & ! Tangent input |
---|
671 | & zvn_tlin , & ! Tangent input |
---|
672 | & zwn_tlin , & ! Tangent input |
---|
673 | & ztn_tlin , & ! Tangent input |
---|
674 | & zsn_tlin , & ! Tangent input |
---|
675 | & zta_tlin , & ! Tangent input |
---|
676 | & zsa_tlin , & ! Tangent input |
---|
677 | & zta_tlout, & ! Tangent output |
---|
678 | & zsa_tlout, & ! Tangent output |
---|
679 | & zta_adin , & ! Adjoint input |
---|
680 | & zsa_adin , & ! Adjoint input |
---|
681 | & zun_adout, & ! Adjoint output |
---|
682 | & zvn_adout, & ! Adjoint output |
---|
683 | & zwn_adout, & ! Adjoint output |
---|
684 | & ztn_adout, & ! Adjoint output |
---|
685 | & zsn_adout, & ! Adjoint output |
---|
686 | & zta_adout, & ! Adjoint output |
---|
687 | & zsa_adout, & ! Adjoint output |
---|
688 | & zr ! 3D random field |
---|
689 | CHARACTER(LEN=14) ::& |
---|
690 | & cl_name |
---|
691 | ! Allocate memory |
---|
692 | |
---|
693 | ALLOCATE( & |
---|
694 | & zun_tlin( jpi,jpj,jpk), & |
---|
695 | & zvn_tlin( jpi,jpj,jpk), & |
---|
696 | & zwn_tlin( jpi,jpj,jpk), & |
---|
697 | & ztn_tlin( jpi,jpj,jpk), & |
---|
698 | & zsn_tlin( jpi,jpj,jpk), & |
---|
699 | & zta_tlin( jpi,jpj,jpk), & |
---|
700 | & zsa_tlin( jpi,jpj,jpk), & |
---|
701 | & zta_tlout(jpi,jpj,jpk), & |
---|
702 | & zsa_tlout(jpi,jpj,jpk), & |
---|
703 | & zta_adin( jpi,jpj,jpk), & |
---|
704 | & zsa_adin( jpi,jpj,jpk), & |
---|
705 | & zun_adout(jpi,jpj,jpk), & |
---|
706 | & zvn_adout(jpi,jpj,jpk), & |
---|
707 | & zwn_adout(jpi,jpj,jpk), & |
---|
708 | & ztn_adout(jpi,jpj,jpk), & |
---|
709 | & zsn_adout(jpi,jpj,jpk), & |
---|
710 | & zta_adout(jpi,jpj,jpk), & |
---|
711 | & zsa_adout(jpi,jpj,jpk), & |
---|
712 | & zr( jpi,jpj,jpk) & |
---|
713 | & ) |
---|
714 | !================================================================== |
---|
715 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
---|
716 | ! dy = ( hdivb_tl, hdivn_tl ) |
---|
717 | !================================================================== |
---|
718 | |
---|
719 | !-------------------------------------------------------------------- |
---|
720 | ! Reset the tangent and adjoint variables |
---|
721 | !-------------------------------------------------------------------- |
---|
722 | zun_tlin( :,:,:) = 0.0_wp |
---|
723 | zvn_tlin( :,:,:) = 0.0_wp |
---|
724 | zwn_tlin( :,:,:) = 0.0_wp |
---|
725 | ztn_tlin( :,:,:) = 0.0_wp |
---|
726 | zsn_tlin( :,:,:) = 0.0_wp |
---|
727 | zta_tlin( :,:,:) = 0.0_wp |
---|
728 | zsa_tlin( :,:,:) = 0.0_wp |
---|
729 | zta_tlout(:,:,:) = 0.0_wp |
---|
730 | zsa_tlout(:,:,:) = 0.0_wp |
---|
731 | zta_adin( :,:,:) = 0.0_wp |
---|
732 | zsa_adin( :,:,:) = 0.0_wp |
---|
733 | zun_adout(:,:,:) = 0.0_wp |
---|
734 | zvn_adout(:,:,:) = 0.0_wp |
---|
735 | zwn_adout(:,:,:) = 0.0_wp |
---|
736 | ztn_adout(:,:,:) = 0.0_wp |
---|
737 | zsn_adout(:,:,:) = 0.0_wp |
---|
738 | zta_adout(:,:,:) = 0.0_wp |
---|
739 | zsa_adout(:,:,:) = 0.0_wp |
---|
740 | zr( :,:,:) = 0.0_wp |
---|
741 | |
---|
742 | tn_ad(:,:,:) = 0.0_wp |
---|
743 | sn_ad(:,:,:) = 0.0_wp |
---|
744 | |
---|
745 | |
---|
746 | !-------------------------------------------------------------------- |
---|
747 | ! Initialize the tangent input with random noise: dx |
---|
748 | !-------------------------------------------------------------------- |
---|
749 | |
---|
750 | DO jj = 1, jpj |
---|
751 | DO ji = 1, jpi |
---|
752 | iseed_2d(ji,jj) = - ( 596035 + & |
---|
753 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
754 | END DO |
---|
755 | END DO |
---|
756 | CALL grid_random( iseed_2d, zr, 'U', 0.0_wp, stdu ) |
---|
757 | DO jk = 1, jpk |
---|
758 | DO jj = nldj, nlej |
---|
759 | DO ji = nldi, nlei |
---|
760 | zun_tlin(ji,jj,jk) = zr(ji,jj,jk) |
---|
761 | END DO |
---|
762 | END DO |
---|
763 | END DO |
---|
764 | |
---|
765 | DO jj = 1, jpj |
---|
766 | DO ji = 1, jpi |
---|
767 | iseed_2d(ji,jj) = - ( 371836 + & |
---|
768 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
769 | END DO |
---|
770 | END DO |
---|
771 | CALL grid_random( iseed_2d, zr, 'V', 0.0_wp, stdv ) |
---|
772 | DO jk = 1, jpk |
---|
773 | DO jj = nldj, nlej |
---|
774 | DO ji = nldi, nlei |
---|
775 | zvn_tlin(ji,jj,jk) = zr(ji,jj,jk) |
---|
776 | END DO |
---|
777 | END DO |
---|
778 | END DO |
---|
779 | |
---|
780 | DO jj = 1, jpj |
---|
781 | DO ji = 1, jpi |
---|
782 | iseed_2d(ji,jj) = - ( 148379 + & |
---|
783 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
784 | END DO |
---|
785 | END DO |
---|
786 | CALL grid_random( iseed_2d, zr, 'W', 0.0_wp, stdw ) |
---|
787 | DO jk = 1, jpk |
---|
788 | DO jj = nldj, nlej |
---|
789 | DO ji = nldi, nlei |
---|
790 | zwn_tlin(ji,jj,jk) = zr(ji,jj,jk) |
---|
791 | END DO |
---|
792 | END DO |
---|
793 | END DO |
---|
794 | |
---|
795 | DO jj = 1, jpj |
---|
796 | DO ji = 1, jpi |
---|
797 | iseed_2d(ji,jj) = - ( 264940 + & |
---|
798 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
799 | END DO |
---|
800 | END DO |
---|
801 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stdt ) |
---|
802 | DO jk = 1, jpk |
---|
803 | DO jj = nldj, nlej |
---|
804 | DO ji = nldi, nlei |
---|
805 | ztn_tlin(ji,jj,jk) = zr(ji,jj,jk) |
---|
806 | END DO |
---|
807 | END DO |
---|
808 | END DO |
---|
809 | |
---|
810 | DO jj = 1, jpj |
---|
811 | DO ji = 1, jpi |
---|
812 | iseed_2d(ji,jj) = - ( 618304 + & |
---|
813 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
814 | END DO |
---|
815 | END DO |
---|
816 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stds ) |
---|
817 | DO jk = 1, jpk |
---|
818 | DO jj = nldj, nlej |
---|
819 | DO ji = nldi, nlei |
---|
820 | zsn_tlin(ji,jj,jk) = zr(ji,jj,jk) |
---|
821 | END DO |
---|
822 | END DO |
---|
823 | END DO |
---|
824 | |
---|
825 | DO jj = 1, jpj |
---|
826 | DO ji = 1, jpi |
---|
827 | iseed_2d(ji,jj) = - ( 481903 + & |
---|
828 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
829 | END DO |
---|
830 | END DO |
---|
831 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stdt ) |
---|
832 | DO jk = 1, jpk |
---|
833 | DO jj = nldj, nlej |
---|
834 | DO ji = nldi, nlei |
---|
835 | zta_tlin(ji,jj,jk) = zr(ji,jj,jk) |
---|
836 | END DO |
---|
837 | END DO |
---|
838 | END DO |
---|
839 | |
---|
840 | DO jj = 1, jpj |
---|
841 | DO ji = 1, jpi |
---|
842 | iseed_2d(ji,jj) = - ( 263871 + & |
---|
843 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
844 | END DO |
---|
845 | END DO |
---|
846 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stds ) |
---|
847 | DO jk = 1, jpk |
---|
848 | DO jj = nldj, nlej |
---|
849 | DO ji = nldi, nlei |
---|
850 | zsa_tlin(ji,jj,jk) = zr(ji,jj,jk) |
---|
851 | END DO |
---|
852 | END DO |
---|
853 | END DO |
---|
854 | |
---|
855 | tn_tl(:,:,:) = ztn_tlin(:,:,:) |
---|
856 | sn_tl(:,:,:) = zsn_tlin(:,:,:) |
---|
857 | ta_tl(:,:,:) = zta_tlin(:,:,:) |
---|
858 | sa_tl(:,:,:) = zsa_tlin(:,:,:) |
---|
859 | |
---|
860 | CALL tra_adv_cen2_tan(nit000, un, vn, wn, zun_tlin, zvn_tlin, zwn_tlin) |
---|
861 | |
---|
862 | zta_tlout(:,:,:) = ta_tl(:,:,:) |
---|
863 | zsa_tlout(:,:,:) = sa_tl(:,:,:) |
---|
864 | |
---|
865 | !-------------------------------------------------------------------- |
---|
866 | ! Initialize the adjoint variables: dy^* = W dy |
---|
867 | !-------------------------------------------------------------------- |
---|
868 | |
---|
869 | DO jk = 1, jpk |
---|
870 | DO jj = nldj, nlej |
---|
871 | DO ji = nldi, nlei |
---|
872 | zta_adin(ji,jj,jk) = zta_tlout(ji,jj,jk) & |
---|
873 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
---|
874 | & * tmask(ji,jj,jk) * wesp_t(jk) |
---|
875 | zsa_adin(ji,jj,jk) = zsa_tlout(ji,jj,jk) & |
---|
876 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
---|
877 | & * tmask(ji,jj,jk) * wesp_s(jk) |
---|
878 | END DO |
---|
879 | END DO |
---|
880 | END DO |
---|
881 | !-------------------------------------------------------------------- |
---|
882 | ! Compute the scalar product: ( L dx )^T W dy |
---|
883 | !-------------------------------------------------------------------- |
---|
884 | |
---|
885 | zsp1 = DOT_PRODUCT( zta_tlout, zta_adin ) & |
---|
886 | & + DOT_PRODUCT( zsa_tlout, zsa_adin ) |
---|
887 | |
---|
888 | !-------------------------------------------------------------------- |
---|
889 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
890 | !-------------------------------------------------------------------- |
---|
891 | ta_ad(:,:,:) = zta_adin(:,:,:) |
---|
892 | sa_ad(:,:,:) = zsa_adin(:,:,:) |
---|
893 | |
---|
894 | CALL tra_adv_cen2_adj(nit000, un, vn, wn, zun_adout, zvn_adout, zwn_adout) |
---|
895 | |
---|
896 | ztn_adout(:,:,:) = tn_ad(:,:,:) |
---|
897 | zsn_adout(:,:,:) = sn_ad(:,:,:) |
---|
898 | zta_adout(:,:,:) = ta_ad(:,:,:) |
---|
899 | zsa_adout(:,:,:) = sa_ad(:,:,:) |
---|
900 | |
---|
901 | |
---|
902 | zsp2 = DOT_PRODUCT( zun_tlin, zun_adout ) & |
---|
903 | & + DOT_PRODUCT( zvn_tlin, zvn_adout ) & |
---|
904 | & + DOT_PRODUCT( zwn_tlin, zwn_adout ) & |
---|
905 | & + DOT_PRODUCT( ztn_tlin, ztn_adout ) & |
---|
906 | & + DOT_PRODUCT( zsn_tlin, zsn_adout ) & |
---|
907 | & + DOT_PRODUCT( zta_tlin, zta_adout ) & |
---|
908 | & + DOT_PRODUCT( zsa_tlin, zsa_adout ) |
---|
909 | |
---|
910 | ! 14 char:'12345678901234' |
---|
911 | cl_name = 'tra_adv_cen2 ' |
---|
912 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
913 | |
---|
914 | DEALLOCATE( & |
---|
915 | & zun_tlin , & ! Tangent input |
---|
916 | & zvn_tlin , & ! Tangent input |
---|
917 | & zwn_tlin , & ! Tangent input |
---|
918 | & ztn_tlin , & ! Tangent input |
---|
919 | & zsn_tlin , & ! Tangent input |
---|
920 | & zta_tlin , & ! Tangent input |
---|
921 | & zsa_tlin , & ! Tangent input |
---|
922 | & zta_tlout, & ! Tangent output |
---|
923 | & zsa_tlout, & ! Tangent output |
---|
924 | & zta_adin , & ! Adjoint input |
---|
925 | & zsa_adin , & ! Adjoint input |
---|
926 | & zun_adout, & ! Adjoint output |
---|
927 | & zvn_adout, & ! Adjoint output |
---|
928 | & zwn_adout, & ! Adjoint output |
---|
929 | & ztn_adout, & ! Adjoint output |
---|
930 | & zsn_adout, & ! Adjoint output |
---|
931 | & zta_adout, & ! Adjoint output |
---|
932 | & zsa_adout, & ! Adjoint output |
---|
933 | & zr & ! 3D random field |
---|
934 | & ) |
---|
935 | |
---|
936 | |
---|
937 | |
---|
938 | END SUBROUTINE tra_adv_cen2_adj_tst |
---|
939 | #if defined key_tst_tlm |
---|
940 | SUBROUTINE tra_adv_cen2_tlm_tst( kumadt ) |
---|
941 | !!----------------------------------------------------------------------- |
---|
942 | !! |
---|
943 | !! *** ROUTINE tra_adv_cen2_tlm_tst *** |
---|
944 | !! |
---|
945 | !! ** Purpose : Test the tangent routine. |
---|
946 | !! |
---|
947 | !! ** Method : Verify the tangent with Taylor expansion |
---|
948 | !! |
---|
949 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
---|
950 | !! |
---|
951 | !! where L = tangent routine |
---|
952 | !! M = direct routine |
---|
953 | !! dx = input perturbation (random field) |
---|
954 | !! h = ration on perturbation |
---|
955 | !! |
---|
956 | !! In the tangent test we verify that: |
---|
957 | !! M(x+h*dx) - M(x) |
---|
958 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
---|
959 | !! L(h*dx) |
---|
960 | !! and |
---|
961 | !! g(h) - 1 |
---|
962 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
---|
963 | !! p |
---|
964 | !! |
---|
965 | !! History : |
---|
966 | !! ! 09-08 (A. Vigilant) |
---|
967 | !!----------------------------------------------------------------------- |
---|
968 | !! * Modules used |
---|
969 | USE traadv_cen2 ! horizontal & vertical advective trend |
---|
970 | USE tamtrj ! writing out state trajectory |
---|
971 | USE par_tlm, ONLY: & |
---|
972 | & tlm_bch, & |
---|
973 | & cur_loop, & |
---|
974 | & h_ratio |
---|
975 | USE istate_mod |
---|
976 | USE wzvmod ! vertical velocity |
---|
977 | USE gridrandom, ONLY: & |
---|
978 | & grid_rd_sd |
---|
979 | USE trj_tam |
---|
980 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
---|
981 | & tb, sb, tn, sn, ta, & |
---|
982 | & sa, gtu, gsu, gtv, & |
---|
983 | & gsv |
---|
984 | USE opatam_tst_ini, ONLY: & |
---|
985 | & tlm_namrd |
---|
986 | USE tamctl, ONLY: & ! Control parameters |
---|
987 | & numtan, numtan_sc |
---|
988 | !! * Arguments |
---|
989 | INTEGER, INTENT(IN) :: & |
---|
990 | & kumadt ! Output unit |
---|
991 | |
---|
992 | !! * Local declarations |
---|
993 | INTEGER :: & |
---|
994 | & ji, & ! dummy loop indices |
---|
995 | & jj, & |
---|
996 | & jk |
---|
997 | REAL(KIND=wp) :: & |
---|
998 | & zsp1, & ! scalar product involving the tangent routine |
---|
999 | & zsp1_Ta, & |
---|
1000 | & zsp1_Sa, & |
---|
1001 | & zsp2, & ! scalar product involving the tangent routine |
---|
1002 | & zsp2_Ta, & |
---|
1003 | & zsp2_Sa, & |
---|
1004 | & zsp3, & ! scalar product involving the tangent routine |
---|
1005 | & zsp3_Ta, & |
---|
1006 | & zsp3_Sa, & |
---|
1007 | & zzsp, & ! scalar product involving the tangent routine |
---|
1008 | & zzsp_Ta, & |
---|
1009 | & zzsp_Sa, & |
---|
1010 | & gamma, & |
---|
1011 | & zgsp1, & |
---|
1012 | & zgsp2, & |
---|
1013 | & zgsp3, & |
---|
1014 | & zgsp4, & |
---|
1015 | & zgsp5, & |
---|
1016 | & zgsp6, & |
---|
1017 | & zgsp7 |
---|
1018 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
1019 | & zun_tlin, & ! Tangent input |
---|
1020 | & zvn_tlin, & ! Tangent input |
---|
1021 | & zwn_tlin, & ! Tangent input |
---|
1022 | & ztn_tlin, & ! Tangent input |
---|
1023 | & zsn_tlin, & ! Tangent input |
---|
1024 | & zta_tlin, & ! Tangent input |
---|
1025 | & zsa_tlin, & ! Tangent input |
---|
1026 | & zta_out , & ! Direct output |
---|
1027 | & zsa_out , & ! Direct output |
---|
1028 | & zta_wop , & ! Direct output w/o perturbation |
---|
1029 | & zsa_wop , & ! Direct output w/o perturbation |
---|
1030 | & z3r |
---|
1031 | CHARACTER(LEN=14) :: cl_name |
---|
1032 | CHARACTER (LEN=128) :: file_out, file_wop, file_xdx |
---|
1033 | CHARACTER (LEN=90) :: FMT |
---|
1034 | REAL(KIND=wp), DIMENSION(100):: & |
---|
1035 | & zscta,zscsa, & |
---|
1036 | & zscerrta, zscerrsa |
---|
1037 | INTEGER, DIMENSION(100):: & |
---|
1038 | & iiposta, iipossa, & |
---|
1039 | & ijposta, ijpossa, & |
---|
1040 | & ikposta, ikpossa |
---|
1041 | INTEGER:: & |
---|
1042 | & ii, & |
---|
1043 | & isamp=40, & |
---|
1044 | & jsamp=40, & |
---|
1045 | & ksamp=10, & |
---|
1046 | & numsctlm |
---|
1047 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
1048 | & zerrta, zerrsa |
---|
1049 | ! Allocate memory |
---|
1050 | |
---|
1051 | ALLOCATE( & |
---|
1052 | & zun_tlin( jpi,jpj,jpk), & |
---|
1053 | & zvn_tlin( jpi,jpj,jpk), & |
---|
1054 | & zwn_tlin( jpi,jpj,jpk), & |
---|
1055 | & ztn_tlin( jpi,jpj,jpk), & |
---|
1056 | & zsn_tlin( jpi,jpj,jpk), & |
---|
1057 | & zta_tlin( jpi,jpj,jpk), & |
---|
1058 | & zsa_tlin( jpi,jpj,jpk), & |
---|
1059 | & zta_out ( jpi,jpj,jpk), & |
---|
1060 | & zsa_out ( jpi,jpj,jpk), & |
---|
1061 | & zta_wop ( jpi,jpj,jpk), & |
---|
1062 | & zsa_wop ( jpi,jpj,jpk), & |
---|
1063 | & z3r ( jpi,jpj,jpk) & |
---|
1064 | & ) |
---|
1065 | |
---|
1066 | !-------------------------------------------------------------------- |
---|
1067 | ! Reset variables |
---|
1068 | !-------------------------------------------------------------------- |
---|
1069 | zun_tlin( :,:,:) = 0.0_wp |
---|
1070 | zvn_tlin( :,:,:) = 0.0_wp |
---|
1071 | zwn_tlin( :,:,:) = 0.0_wp |
---|
1072 | ztn_tlin( :,:,:) = 0.0_wp |
---|
1073 | zsn_tlin( :,:,:) = 0.0_wp |
---|
1074 | zta_tlin( :,:,:) = 0.0_wp |
---|
1075 | zsa_tlin( :,:,:) = 0.0_wp |
---|
1076 | zta_out ( :,:,:) = 0.0_wp |
---|
1077 | zsa_out ( :,:,:) = 0.0_wp |
---|
1078 | zta_wop ( :,:,:) = 0.0_wp |
---|
1079 | zsa_wop ( :,:,:) = 0.0_wp |
---|
1080 | |
---|
1081 | zscta(:) = 0.0_wp |
---|
1082 | zscsa(:) = 0.0_wp |
---|
1083 | zscerrta(:) = 0.0_wp |
---|
1084 | zscerrsa(:) = 0.0_wp |
---|
1085 | |
---|
1086 | !-------------------------------------------------------------------- |
---|
1087 | ! Output filename Xn=F(X0) |
---|
1088 | !-------------------------------------------------------------------- |
---|
1089 | CALL tlm_namrd |
---|
1090 | gamma = h_ratio |
---|
1091 | file_wop='trj_wop_tradv_cen2' |
---|
1092 | file_xdx='trj_xdx_tradv_cen2' |
---|
1093 | !-------------------------------------------------------------------- |
---|
1094 | ! Initialize the tangent input with random noise: dx |
---|
1095 | !-------------------------------------------------------------------- |
---|
1096 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
1097 | CALL grid_rd_sd( 596035, z3r, 'U', 0.0_wp, stdu) |
---|
1098 | DO jk = 1, jpk |
---|
1099 | DO jj = nldj, nlej |
---|
1100 | DO ji = nldi, nlei |
---|
1101 | zun_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
1102 | END DO |
---|
1103 | END DO |
---|
1104 | END DO |
---|
1105 | CALL grid_rd_sd( 371836, z3r, 'V', 0.0_wp, stdv) |
---|
1106 | DO jk = 1, jpk |
---|
1107 | DO jj = nldj, nlej |
---|
1108 | DO ji = nldi, nlei |
---|
1109 | zvn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
1110 | END DO |
---|
1111 | END DO |
---|
1112 | END DO |
---|
1113 | CALL grid_rd_sd( 148379, z3r, 'W', 0.0_wp, stdw) |
---|
1114 | DO jk = 1, jpk |
---|
1115 | DO jj = nldj, nlej |
---|
1116 | DO ji = nldi, nlei |
---|
1117 | zwn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
1118 | END DO |
---|
1119 | END DO |
---|
1120 | END DO |
---|
1121 | CALL grid_rd_sd( 264940, z3r, 'T', 0.0_wp, stdt) |
---|
1122 | DO jk = 1, jpk |
---|
1123 | DO jj = nldj, nlej |
---|
1124 | DO ji = nldi, nlei |
---|
1125 | ztn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
1126 | END DO |
---|
1127 | END DO |
---|
1128 | END DO |
---|
1129 | CALL grid_rd_sd( 618304, z3r, 'T', 0.0_wp, stds) |
---|
1130 | DO jk = 1, jpk |
---|
1131 | DO jj = nldj, nlej |
---|
1132 | DO ji = nldi, nlei |
---|
1133 | zsn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
1134 | END DO |
---|
1135 | END DO |
---|
1136 | END DO |
---|
1137 | CALL grid_rd_sd( 481903, z3r, 'T', 0.0_wp, stdt) |
---|
1138 | DO jk = 1, jpk |
---|
1139 | DO jj = nldj, nlej |
---|
1140 | DO ji = nldi, nlei |
---|
1141 | zta_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
1142 | END DO |
---|
1143 | END DO |
---|
1144 | END DO |
---|
1145 | CALL grid_rd_sd( 263871, z3r, 'T', 0.0_wp, stds) |
---|
1146 | DO jk = 1, jpk |
---|
1147 | DO jj = nldj, nlej |
---|
1148 | DO ji = nldi, nlei |
---|
1149 | zsa_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
1150 | END DO |
---|
1151 | END DO |
---|
1152 | END DO |
---|
1153 | ENDIF |
---|
1154 | !-------------------------------------------------------------------- |
---|
1155 | ! Complete Init for Direct |
---|
1156 | !------------------------------------------------------------------- |
---|
1157 | IF ( tlm_bch /= 2 ) CALL istate_p |
---|
1158 | |
---|
1159 | ! *** initialize the reference trajectory |
---|
1160 | ! ------------ |
---|
1161 | CALL trj_rea( nit000-1, 1 ) |
---|
1162 | CALL trj_rea( nit000, 1 ) |
---|
1163 | |
---|
1164 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
1165 | zun_tlin(:,:,:) = gamma * zun_tlin(:,:,:) |
---|
1166 | un(:,:,:) = un(:,:,:) + zun_tlin(:,:,:) |
---|
1167 | |
---|
1168 | zvn_tlin(:,:,:) = gamma * zvn_tlin(:,:,:) |
---|
1169 | vn(:,:,:) = vn(:,:,:) + zvn_tlin(:,:,:) |
---|
1170 | |
---|
1171 | zwn_tlin(:,:,:) = gamma * zwn_tlin(:,:,:) |
---|
1172 | wn(:,:,:) = wn(:,:,:) + zwn_tlin(:,:,:) |
---|
1173 | |
---|
1174 | ztn_tlin(:,:,:) = gamma * ztn_tlin(:,:,:) |
---|
1175 | tn(:,:,:) = tn(:,:,:) + ztn_tlin(:,:,:) |
---|
1176 | |
---|
1177 | zsn_tlin(:,:,:) = gamma * zsn_tlin(:,:,:) |
---|
1178 | sn(:,:,:) = sn(:,:,:) + zsn_tlin(:,:,:) |
---|
1179 | |
---|
1180 | zta_tlin(:,:,:) = gamma * zta_tlin(:,:,:) |
---|
1181 | ta(:,:,:) = ta(:,:,:) + zta_tlin(:,:,:) |
---|
1182 | |
---|
1183 | zsa_tlin(:,:,:) = gamma * zsa_tlin(:,:,:) |
---|
1184 | sa(:,:,:) = sa(:,:,:) + zsa_tlin(:,:,:) |
---|
1185 | ENDIF |
---|
1186 | |
---|
1187 | !-------------------------------------------------------------------- |
---|
1188 | ! Compute the direct model F(X0,t=n) = Xn |
---|
1189 | !-------------------------------------------------------------------- |
---|
1190 | IF ( tlm_bch /= 2 ) CALL tra_adv_cen2(nit000, un, vn, wn) |
---|
1191 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
---|
1192 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
---|
1193 | !-------------------------------------------------------------------- |
---|
1194 | ! Compute the Tangent |
---|
1195 | !-------------------------------------------------------------------- |
---|
1196 | IF ( tlm_bch == 2 ) THEN |
---|
1197 | !-------------------------------------------------------------------- |
---|
1198 | ! Initialize the tangent variables: dy^* = W dy |
---|
1199 | !-------------------------------------------------------------------- |
---|
1200 | CALL trj_rea( nit000-1, 1 ) |
---|
1201 | CALL trj_rea( nit000, 1 ) |
---|
1202 | tn_tl (:,:,:) = ztn_tlin (:,:,:) |
---|
1203 | sn_tl (:,:,:) = zsn_tlin (:,:,:) |
---|
1204 | ta_tl (:,:,:) = zta_tlin (:,:,:) |
---|
1205 | sa_tl (:,:,:) = zsa_tlin (:,:,:) |
---|
1206 | |
---|
1207 | !----------------------------------------------------------------------- |
---|
1208 | ! Initialization of the dynamics and tracer fields for the tangent |
---|
1209 | !----------------------------------------------------------------------- |
---|
1210 | CALL tra_adv_cen2_tan(nit000, un, vn, wn, zun_tlin, zvn_tlin, zwn_tlin) |
---|
1211 | |
---|
1212 | !-------------------------------------------------------------------- |
---|
1213 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
---|
1214 | !-------------------------------------------------------------------- |
---|
1215 | zsp2_Ta = DOT_PRODUCT( ta_tl, ta_tl ) |
---|
1216 | zsp2_Sa = DOT_PRODUCT( sa_tl, sa_tl ) |
---|
1217 | |
---|
1218 | zsp2 = zsp2_Ta + zsp2_Sa |
---|
1219 | !-------------------------------------------------------------------- |
---|
1220 | ! Storing data |
---|
1221 | !-------------------------------------------------------------------- |
---|
1222 | CALL trj_rd_spl(file_wop) |
---|
1223 | zta_wop (:,:,:) = ta (:,:,:) |
---|
1224 | zsa_wop (:,:,:) = sa (:,:,:) |
---|
1225 | CALL trj_rd_spl(file_xdx) |
---|
1226 | zta_out (:,:,:) = ta (:,:,:) |
---|
1227 | zsa_out (:,:,:) = sa (:,:,:) |
---|
1228 | !-------------------------------------------------------------------- |
---|
1229 | ! Compute the Linearization Error |
---|
1230 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
---|
1231 | ! and |
---|
1232 | ! Compute the Linearization Error |
---|
1233 | ! En = Nn -TL(gamma.dX0, t0,tn) |
---|
1234 | !-------------------------------------------------------------------- |
---|
1235 | ! Warning: Here we re-use local variables z()_out and z()_wop |
---|
1236 | ii=0 |
---|
1237 | DO jk = 1, jpk |
---|
1238 | DO jj = 1, jpj |
---|
1239 | DO ji = 1, jpi |
---|
1240 | zta_out (ji,jj,jk) = zta_out (ji,jj,jk) - zta_wop (ji,jj,jk) |
---|
1241 | zta_wop (ji,jj,jk) = zta_out (ji,jj,jk) - ta_tl (ji,jj,jk) |
---|
1242 | IF ( ta_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
1243 | & zerrta(ji,jj,jk) = zta_out(ji,jj,jk)/ta_tl(ji,jj,jk) |
---|
1244 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
1245 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
1246 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
1247 | ii = ii+1 |
---|
1248 | iiposta(ii) = ji |
---|
1249 | ijposta(ii) = jj |
---|
1250 | ikposta(ii) = jk |
---|
1251 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
---|
1252 | zscta (ii) = zta_wop(ji,jj,jk) |
---|
1253 | zscerrta (ii) = ( zerrta(ji,jj,jk) - 1.0_wp ) / gamma |
---|
1254 | ENDIF |
---|
1255 | ENDIF |
---|
1256 | END DO |
---|
1257 | END DO |
---|
1258 | END DO |
---|
1259 | ii=0 |
---|
1260 | DO jk = 1, jpk |
---|
1261 | DO jj = 1, jpj |
---|
1262 | DO ji = 1, jpi |
---|
1263 | zsa_out (ji,jj,jk) = zsa_out (ji,jj,jk) - zsa_wop (ji,jj,jk) |
---|
1264 | zsa_wop (ji,jj,jk) = zsa_out (ji,jj,jk) - sa_tl (ji,jj,jk) |
---|
1265 | IF ( sa_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
1266 | & zerrsa(ji,jj,jk) = zsa_out(ji,jj,jk)/sa_tl(ji,jj,jk) |
---|
1267 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
1268 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
1269 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
1270 | ii = ii+1 |
---|
1271 | iipossa(ii) = ji |
---|
1272 | ijpossa(ii) = jj |
---|
1273 | ikpossa(ii) = jk |
---|
1274 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
---|
1275 | zscsa (ii) = zsa_wop(ji,jj,jk) |
---|
1276 | zscerrsa (ii) = ( zerrsa(ji,jj,jk) - 1.0_wp ) / gamma |
---|
1277 | ENDIF |
---|
1278 | ENDIF |
---|
1279 | END DO |
---|
1280 | END DO |
---|
1281 | END DO |
---|
1282 | |
---|
1283 | zsp1_Ta = DOT_PRODUCT( zta_out, zta_out ) |
---|
1284 | zsp1_Sa = DOT_PRODUCT( zsa_out, zsa_out ) |
---|
1285 | |
---|
1286 | zsp1 = zsp1_Ta + zsp1_Sa |
---|
1287 | |
---|
1288 | zsp3_Ta = DOT_PRODUCT( zta_wop, zta_wop ) |
---|
1289 | zsp3_Sa = DOT_PRODUCT( zsa_wop, zsa_wop ) |
---|
1290 | |
---|
1291 | zsp3 = zsp3_Ta + zsp3_Sa |
---|
1292 | |
---|
1293 | !-------------------------------------------------------------------- |
---|
1294 | ! Print the linearization error En - norme 2 |
---|
1295 | !-------------------------------------------------------------------- |
---|
1296 | ! 14 char:'12345678901234' |
---|
1297 | cl_name = 'traadv_tam:En ' |
---|
1298 | zzsp = SQRT(zsp3) |
---|
1299 | zzsp_Ta = SQRT(zsp3_Ta) |
---|
1300 | zzsp_Sa = SQRT(zsp3_Sa) |
---|
1301 | zgsp5 = zzsp |
---|
1302 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
1303 | |
---|
1304 | !-------------------------------------------------------------------- |
---|
1305 | ! Compute TLM norm2 |
---|
1306 | !-------------------------------------------------------------------- |
---|
1307 | zzsp = SQRT(zsp2) |
---|
1308 | zzsp_Ta = SQRT(zsp2_Ta) |
---|
1309 | zzsp_Sa = SQRT(zsp2_Sa) |
---|
1310 | zgsp4 = zzsp |
---|
1311 | cl_name = 'traadv_tam:Ln2' |
---|
1312 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
1313 | |
---|
1314 | !-------------------------------------------------------------------- |
---|
1315 | ! Print the linearization error Nn - norme 2 |
---|
1316 | !-------------------------------------------------------------------- |
---|
1317 | zzsp = sqrt(zsp1) |
---|
1318 | zzsp_Ta = sqrt(zsp1_Ta) |
---|
1319 | zzsp_Sa = sqrt(zsp1_Sa) |
---|
1320 | |
---|
1321 | cl_name = 'traadv:Mhdx-Mx' |
---|
1322 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
1323 | |
---|
1324 | zgsp3 = SQRT( zsp3/zsp2 ) |
---|
1325 | zgsp7 = zgsp3/gamma |
---|
1326 | zgsp1 = zzsp |
---|
1327 | zgsp2 = zgsp1 / zgsp4 |
---|
1328 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
---|
1329 | |
---|
1330 | FMT = "(A8,2X,I4.4,2X,E6.1,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13)" |
---|
1331 | WRITE(numtan,FMT) 'tadvcen2', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
---|
1332 | !-------------------------------------------------------------------- |
---|
1333 | ! Unitary calculus |
---|
1334 | !-------------------------------------------------------------------- |
---|
1335 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
---|
1336 | cl_name = 'tadvcen2' |
---|
1337 | IF(lwp) THEN |
---|
1338 | DO ii=1, 100, 1 |
---|
1339 | IF ( zscta(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscta ', & |
---|
1340 | & cur_loop, h_ratio, ii, iiposta(ii), ijposta(ii), zscta(ii) |
---|
1341 | ENDDO |
---|
1342 | DO ii=1, 100, 1 |
---|
1343 | IF ( zscsa(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscsa ', & |
---|
1344 | & cur_loop, h_ratio, ii, iipossa(ii), ijpossa(ii), zscsa(ii) |
---|
1345 | ENDDO |
---|
1346 | DO ii=1, 100, 1 |
---|
1347 | IF ( zscerrta(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrta ', & |
---|
1348 | & cur_loop, h_ratio, ii, iiposta(ii), ijposta(ii), zscerrta(ii) |
---|
1349 | ENDDO |
---|
1350 | DO ii=1, 100, 1 |
---|
1351 | IF ( zscerrsa(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrsa ', & |
---|
1352 | & cur_loop, h_ratio, ii, iipossa(ii), ijpossa(ii), zscerrsa(ii) |
---|
1353 | ENDDO |
---|
1354 | ! write separator |
---|
1355 | WRITE(numtan_sc,"(A4)") '====' |
---|
1356 | ENDIF |
---|
1357 | |
---|
1358 | ENDIF |
---|
1359 | |
---|
1360 | DEALLOCATE( & |
---|
1361 | & zun_tlin, zvn_tlin, & |
---|
1362 | & zwn_tlin, ztn_tlin, & |
---|
1363 | & zsn_tlin, & |
---|
1364 | & zta_tlin, zsa_tlin, & |
---|
1365 | & zta_out, zsa_out, & |
---|
1366 | & zta_wop, zsa_wop, & |
---|
1367 | & z3r & |
---|
1368 | & ) |
---|
1369 | |
---|
1370 | END SUBROUTINE tra_adv_cen2_tlm_tst |
---|
1371 | #endif |
---|
1372 | #endif |
---|
1373 | !!====================================================================== |
---|
1374 | END MODULE traadv_cen2_tam |
---|