1 | MODULE dynhpg_tam |
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2 | #ifdef key_tam |
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3 | !!====================================================================== |
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4 | !! *** MODULE dynhpg_tam *** |
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5 | !! Ocean dynamics: hydrostatic pressure gradient 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 | !! 1.0 ! 87-09 (P. Andrich, M.-A. Foujols) hpg_zco: Original code |
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10 | !! 5.0 ! 91-11 (G. Madec) |
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11 | !! 7.0 ! 96-01 (G. Madec) hpg_sco: Original code for s-coordinates |
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12 | !! 8.0 ! 97-05 (G. Madec) split dynber into dynkeg and dynhpg |
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13 | !! 8.5 ! 02-07 (G. Madec) F90: Free form and module |
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14 | !! 8.5 ! 02-08 (A. Bozec) hpg_zps: Original code |
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15 | !! 9.0 ! 05-10 (A. Beckmann, B.W. An) various s-coordinate options |
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16 | !! Original code for hpg_ctl, hpg_hel hpg_wdj, hpg_djc, hpg_rot |
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17 | !! 9.0 ! 05-11 (G. Madec) style & small optimisation |
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18 | !! History of the TAM module: |
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19 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
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20 | !! ! 08-11 (A. Vidard) Nemo v3 |
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21 | !!---------------------------------------------------------------------- |
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22 | |
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23 | !!---------------------------------------------------------------------- |
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24 | !! dyn_hpg : update the momentum trend with the now horizontal |
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25 | !! gradient of the hydrostatic pressure |
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26 | !! hpg_ctl : initialisation and control of options |
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27 | !! hpg_zco : z-coordinate scheme |
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28 | !! hpg_zps : z-coordinate plus partial steps (interpolation) |
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29 | !! hpg_sco : s-coordinate (standard jacobian formulation) |
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30 | !! hpg_hel : s-coordinate (helsinki modification) |
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31 | !! hpg_wdj : s-coordinate (weighted density jacobian) |
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32 | !! hpg_djc : s-coordinate (Density Jacobian with Cubic polynomial) |
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33 | !! hpg_rot : s-coordinate (ROTated axes scheme) |
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34 | !!---------------------------------------------------------------------- |
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35 | USE par_kind, ONLY: & ! Precision variables |
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36 | & wp |
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37 | USE par_oce, ONLY: & ! Ocean space and time domain variables |
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38 | & jpi, & |
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39 | & jpj, & |
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40 | & jpk, & |
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41 | & jpim1, & |
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42 | & jpjm1, & |
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43 | & jpkm1, & |
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44 | & jpiglo |
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45 | USE oce_tam , ONLY: & ! ocean dynamics and tracers |
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46 | & ua_tl, & |
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47 | & va_tl, & |
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48 | & rhd_tl, & |
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49 | & ua_ad, & |
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50 | & va_ad, & |
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51 | & rhd_ad, & |
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52 | & gru_tl, & |
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53 | & grv_tl, & |
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54 | & gru_ad, & |
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55 | & grv_ad, & |
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56 | & tn_tl, sn_tl, & |
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57 | & gtu_tl, gtv_tl, & |
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58 | & gsu_tl, gsv_tl, & |
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59 | & rhop_tl |
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60 | USE dom_oce , ONLY: & ! ocean space and time domain |
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61 | & lk_vvl, & |
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62 | & e1u, & |
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63 | & e2u, & |
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64 | & e1v, & |
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65 | & e2v, & |
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66 | #if defined key_zco |
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67 | & e3t_0, & |
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68 | & e3w_0, & |
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69 | #else |
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70 | & e3u, & |
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71 | & e3v, & |
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72 | & e3w, & |
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73 | #endif |
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74 | & mbathy, & |
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75 | & umask, & |
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76 | & vmask, & |
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77 | & mig, & |
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78 | & mjg, & |
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79 | & nldi, & |
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80 | & nldj, & |
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81 | & nlei, & |
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82 | & nlej |
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83 | USE phycst , ONLY: & ! physical constants |
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84 | & grav |
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85 | USE in_out_manager, ONLY: & ! I/O manager |
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86 | & ctl_stop, & |
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87 | & lwp, & |
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88 | & numout, & |
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89 | & numnam, & |
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90 | & nit000, & |
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91 | & nitend |
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92 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
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93 | & grid_random |
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94 | USE dotprodfld, ONLY: & ! Computes dot product for 3D and 2D fields |
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95 | & dot_product |
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96 | USE tstool_tam , ONLY: & |
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97 | & prntst_adj, & ! |
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98 | & prntst_tlm, & ! |
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99 | & stdu, & ! stdev for u-velocity |
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100 | & stdv, & ! v-velocity |
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101 | & stdr, & ! |
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102 | & stdt, & ! |
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103 | & stds |
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104 | |
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105 | IMPLICIT NONE |
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106 | PRIVATE |
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107 | |
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108 | PUBLIC dyn_hpg_tan ! routine called by step_tam module |
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109 | PUBLIC dyn_hpg_adj ! routine called by step_tam module |
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110 | PUBLIC dyn_hpg_adj_tst! routine called by test module |
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111 | PUBLIC dyn_hpg_tlm_tst! routine called by test module |
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112 | |
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113 | !!* Namelist nam_dynhpg : Choice of horizontal pressure gradient computation |
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114 | LOGICAL :: ln_hpg_zco = .TRUE. ! z-coordinate - full steps |
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115 | LOGICAL :: ln_hpg_zps = .FALSE. ! z-coordinate - partial steps (interpolation) |
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116 | LOGICAL :: ln_hpg_sco = .FALSE. ! s-coordinate (standard jacobian formulation) |
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117 | LOGICAL :: ln_hpg_hel = .FALSE. ! s-coordinate (helsinki modification) |
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118 | LOGICAL :: ln_hpg_wdj = .FALSE. ! s-coordinate (weighted density jacobian) |
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119 | LOGICAL :: ln_hpg_djc = .FALSE. ! s-coordinate (Density Jacobian with Cubic polynomial) |
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120 | LOGICAL :: ln_hpg_rot = .FALSE. ! s-coordinate (ROTated axes scheme) |
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121 | REAL(wp) :: gamm = 0.e0 ! weighting coefficient |
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122 | |
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123 | INTEGER :: nhpg = 0 ! = 0 to 6, type of pressure gradient scheme used |
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124 | ! ! (deduced from ln_hpg_... flags) |
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125 | |
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126 | !! * Substitutions |
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127 | # include "domzgr_substitute.h90" |
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128 | # include "vectopt_loop_substitute.h90" |
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129 | |
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130 | CONTAINS |
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131 | |
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132 | SUBROUTINE dyn_hpg_tan( kt ) |
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133 | !!--------------------------------------------------------------------- |
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134 | !! *** ROUTINE dyn_hpg_tan *** |
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135 | !! |
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136 | !! ** Method of the direct routine: |
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137 | !! Call the hydrostatic pressure gradient routine |
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138 | !! using the scheme defined in the namelist |
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139 | !! |
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140 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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141 | !! - Save the trend (l_trddyn=T) |
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142 | !!---------------------------------------------------------------------- |
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143 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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144 | !! |
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145 | !!---------------------------------------------------------------------- |
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146 | IF( kt == nit000 ) CALL hpg_ctl_tam ! initialisation & control of options |
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147 | |
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148 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
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149 | CASE ( 0 ) ; CALL hpg_zco_tan ( kt ) ! z-coordinate |
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150 | CASE ( 1 ) ; CALL hpg_zps_tan ( kt ) ! z-coordinate plus partial steps (interpolation) |
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151 | CASE ( 2 ) ; CALL hpg_sco_tan ( kt ) ! s-coordinate (standard jacobian formulation) |
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152 | CASE ( 3 ) ; CALL hpg_hel_tan ( kt ) ! s-coordinate (helsinki modification) |
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153 | CASE ( 4 ) ; CALL hpg_wdj_tan ( kt ) ! s-coordinate (weighted density jacobian) |
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154 | CASE ( 5 ) ; CALL hpg_djc_tan ( kt ) ! s-coordinate (Density Jacobian with Cubic polynomial) |
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155 | CASE ( 6 ) ; CALL hpg_rot_tan ( kt ) ! s-coordinate (ROTated axes scheme) |
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156 | END SELECT |
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157 | END SUBROUTINE dyn_hpg_tan |
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158 | SUBROUTINE dyn_hpg_adj( kt ) |
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159 | !!--------------------------------------------------------------------- |
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160 | !! *** ROUTINE dyn_hpg_adj *** |
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161 | !! |
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162 | !! ** Method of the direct routine: |
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163 | !! call the hydrostatic pressure gradient routine |
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164 | !! using the scheme defined in the namelist |
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165 | !! |
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166 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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167 | !! - Save the trend (l_trddyn=T) |
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168 | !!---------------------------------------------------------------------- |
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169 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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170 | !! |
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171 | !!---------------------------------------------------------------------- |
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172 | IF( kt == nitend ) CALL hpg_ctl_tam ! initialisation & control of options |
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173 | |
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174 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
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175 | CASE ( 0 ) ; CALL hpg_zco_adj ( kt ) ! z-coordinate |
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176 | CASE ( 1 ) ; CALL hpg_zps_adj ( kt ) ! z-coordinate plus partial steps (interpolation) |
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177 | CASE ( 2 ) ; CALL hpg_sco_adj ( kt ) ! s-coordinate (standard jacobian formulation) |
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178 | CASE ( 3 ) ; CALL hpg_hel_adj ( kt ) ! s-coordinate (helsinki modification) |
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179 | CASE ( 4 ) ; CALL hpg_wdj_adj ( kt ) ! s-coordinate (weighted density jacobian) |
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180 | CASE ( 5 ) ; CALL hpg_djc_adj ( kt ) ! s-coordinate (Density Jacobian with Cubic polynomial) |
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181 | CASE ( 6 ) ; CALL hpg_rot_adj ( kt ) ! s-coordinate (ROTated axes scheme) |
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182 | END SELECT |
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183 | END SUBROUTINE dyn_hpg_adj |
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184 | |
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185 | SUBROUTINE hpg_ctl_tam |
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186 | !!---------------------------------------------------------------------- |
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187 | !! *** ROUTINE hpg_ctl_tam *** |
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188 | !! |
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189 | !! ** Purpose : initializations for the hydrostatic pressure gradient |
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190 | !! computation and consistency control |
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191 | !! |
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192 | !! ** Action : Read the namelist namdynhpg and check the consistency |
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193 | !! with the type of vertical coordinate used (zco, zps, sco) |
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194 | !!---------------------------------------------------------------------- |
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195 | INTEGER :: ioptio = 0 ! temporary integer |
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196 | |
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197 | NAMELIST/nam_dynhpg/ ln_hpg_zco, ln_hpg_zps, ln_hpg_sco, ln_hpg_hel, & |
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198 | & ln_hpg_wdj, ln_hpg_djc, ln_hpg_rot, gamm |
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199 | !!---------------------------------------------------------------------- |
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200 | |
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201 | REWIND ( numnam ) ! Read Namelist nam_dynhpg : pressure gradient calculation options |
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202 | READ ( numnam, nam_dynhpg ) |
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203 | |
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204 | IF(lwp) THEN ! Control print |
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205 | WRITE(numout,*) |
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206 | WRITE(numout,*) 'dyn:hpg_ctl_tam : hydrostatic pressure gradient control' |
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207 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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208 | WRITE(numout,*) ' Namelist nam_dynhpg : choice of hpg scheme' |
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209 | WRITE(numout,*) ' z-coord. - full steps ln_hpg_zco = ', ln_hpg_zco |
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210 | WRITE(numout,*) ' z-coord. - partial steps (interpolation) ln_hpg_zps = ', ln_hpg_zps |
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211 | WRITE(numout,*) ' s-coord. (standard jacobian formulation) ln_hpg_sco = ', ln_hpg_sco |
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212 | WRITE(numout,*) ' s-coord. (helsinki modification) ln_hpg_hel = ', ln_hpg_hel |
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213 | WRITE(numout,*) ' s-coord. (weighted density jacobian) ln_hpg_wdj = ', ln_hpg_wdj |
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214 | WRITE(numout,*) ' s-coord. (Density Jacobian: Cubic polynomial) ln_hpg_djc = ', ln_hpg_djc |
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215 | WRITE(numout,*) ' s-coord. (ROTated axes scheme) ln_hpg_rot = ', ln_hpg_rot |
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216 | WRITE(numout,*) ' weighting coeff. (wdj scheme) gamm = ', gamm |
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217 | ENDIF |
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218 | |
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219 | IF( lk_vvl .AND. .NOT. ln_hpg_sco ) THEN |
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220 | CALL ctl_stop( 'hpg_ctl_tam : variable volume key_vvl compatible only with the standard jacobian formulation hpg_sco') |
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221 | ENDIF |
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222 | |
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223 | ! ! Set nhpg from ln_hpg_... flags |
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224 | IF( ln_hpg_zco ) nhpg = 0 |
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225 | IF( ln_hpg_zps ) nhpg = 1 |
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226 | IF( ln_hpg_sco ) nhpg = 2 |
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227 | IF( ln_hpg_hel ) nhpg = 3 |
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228 | IF( ln_hpg_wdj ) nhpg = 4 |
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229 | IF( ln_hpg_djc ) nhpg = 5 |
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230 | IF( ln_hpg_rot ) nhpg = 6 |
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231 | |
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232 | ! ! Consitency check |
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233 | ioptio = 0 |
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234 | IF( ln_hpg_zco ) ioptio = ioptio + 1 |
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235 | IF( ln_hpg_zps ) ioptio = ioptio + 1 |
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236 | IF( ln_hpg_sco ) ioptio = ioptio + 1 |
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237 | IF( ln_hpg_hel ) ioptio = ioptio + 1 |
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238 | IF( ln_hpg_wdj ) ioptio = ioptio + 1 |
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239 | IF( ln_hpg_djc ) ioptio = ioptio + 1 |
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240 | IF( ln_hpg_rot ) ioptio = ioptio + 1 |
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241 | IF ( ioptio /= 1 ) CALL ctl_stop( ' NO or several hydrostatic pressure gradient options used' ) |
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242 | |
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243 | ! |
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244 | END SUBROUTINE hpg_ctl_tam |
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245 | SUBROUTINE hpg_zco_tan( kt ) |
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246 | !!--------------------------------------------------------------------- |
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247 | !! *** ROUTINE hpg_zco_tan *** |
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248 | !! |
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249 | !! ** Method of the direct routine: |
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250 | !! z-coordinate case, levels are horizontal surfaces. |
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251 | !! The now hydrostatic pressure gradient at a given level, jk, |
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252 | !! is computed by taking the vertical integral of the in-situ |
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253 | !! density gradient along the model level from the suface to that |
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254 | !! level: zhpi = grav ..... |
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255 | !! zhpj = grav ..... |
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256 | !! add it to the general momentum trend (ua,va). |
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257 | !! ua = ua - 1/e1u * zhpi |
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258 | !! va = va - 1/e2v * zhpj |
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259 | !! |
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260 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
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261 | !!---------------------------------------------------------------------- |
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262 | !! |
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263 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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264 | !! |
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265 | INTEGER :: ji, jj, jk ! dummy loop indices |
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266 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
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267 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpitl, zhpjtl |
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268 | !!---------------------------------------------------------------------- |
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269 | |
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270 | IF( kt == nit000 ) THEN |
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271 | IF(lwp) WRITE(numout,*) |
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272 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco_tan : hydrostatic pressure gradient trend' |
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273 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate case ' |
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274 | ENDIF |
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275 | |
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276 | ! Local constant initialization |
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277 | zcoef0 = - grav * 0.5_wp |
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278 | |
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279 | ! Surface value |
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280 | DO jj = 2, jpjm1 |
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281 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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282 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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283 | ! hydrostatic pressure gradient |
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284 | zhpitl(ji,jj,1) = zcoef1 * ( rhd_tl(ji+1,jj,1) - rhd_tl(ji,jj,1) ) / e1u(ji,jj) |
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285 | zhpjtl(ji,jj,1) = zcoef1 * ( rhd_tl(ji,jj+1,1) - rhd_tl(ji,jj,1) ) / e2v(ji,jj) |
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286 | ! add to the general momentum trend |
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287 | ua_tl(ji,jj,1) = ua_tl(ji,jj,1) + zhpitl(ji,jj,1) |
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288 | va_tl(ji,jj,1) = va_tl(ji,jj,1) + zhpjtl(ji,jj,1) |
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289 | END DO |
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290 | END DO |
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291 | ! |
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292 | ! interior value (2=<jk=<jpkm1) |
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293 | DO jk = 2, jpkm1 |
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294 | DO jj = 2, jpjm1 |
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295 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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296 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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297 | ! hydrostatic pressure gradient |
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298 | zhpitl(ji,jj,jk) = zhpitl(ji,jj,jk-1) & |
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299 | & + zcoef1 * ( ( rhd_tl(ji+1,jj,jk)+rhd_tl(ji+1,jj,jk-1) ) & |
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300 | & - ( rhd_tl(ji ,jj,jk)+rhd_tl(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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301 | |
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302 | zhpjtl(ji,jj,jk) = zhpjtl(ji,jj,jk-1) & |
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303 | & + zcoef1 * ( ( rhd_tl(ji,jj+1,jk)+rhd_tl(ji,jj+1,jk-1) ) & |
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304 | & - ( rhd_tl(ji,jj, jk)+rhd_tl(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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305 | ! add to the general momentum trend |
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306 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zhpitl(ji,jj,jk) |
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307 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zhpjtl(ji,jj,jk) |
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308 | END DO |
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309 | END DO |
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310 | END DO |
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311 | ! |
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312 | END SUBROUTINE hpg_zco_tan |
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313 | SUBROUTINE hpg_zco_adj( kt ) |
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314 | !!--------------------------------------------------------------------- |
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315 | !! *** ROUTINE hpg_zco_tan *** |
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316 | !! |
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317 | !! ** Method of the direct routine: |
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318 | !! z-coordinate case, levels are horizontal surfaces. |
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319 | !! The now hydrostatic pressure gradient at a given level, jk, |
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320 | !! is computed by taking the vertical integral of the in-situ |
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321 | !! density gradient along the model level from the suface to that |
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322 | !! level: zhpi = grav ..... |
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323 | !! zhpj = grav ..... |
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324 | !! add it to the general momentum trend (ua,va). |
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325 | !! ua = ua - 1/e1u * zhpi |
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326 | !! va = va - 1/e2v * zhpj |
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327 | !! |
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328 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
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329 | !!---------------------------------------------------------------------- |
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330 | !! |
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331 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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332 | !! |
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333 | INTEGER :: ji, jj, jk ! dummy loop indices |
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334 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
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335 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpiad, zhpjad |
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336 | !!---------------------------------------------------------------------- |
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337 | |
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338 | IF( kt == nitend ) THEN |
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339 | IF(lwp) WRITE(numout,*) |
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340 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco_adj : hydrostatic pressure gradient trend' |
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341 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate case ' |
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342 | ENDIF |
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343 | ! adjoint variables initialization |
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344 | zhpiad = 0.0_wp |
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345 | zhpjad = 0.0_wp |
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346 | ! Local constant initialization |
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347 | zcoef0 = - grav * 0.5 |
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348 | |
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349 | ! interior value (2=<jk=<jpkm1) |
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350 | DO jk = jpkm1, 2, -1 |
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351 | DO jj = jpjm1, 2, -1 |
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352 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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353 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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354 | ! add to the general momentum trend |
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355 | zhpiad(ji,jj,jk) = zhpiad(ji,jj,jk) + ua_ad(ji,jj,jk) |
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356 | zhpjad(ji,jj,jk) = zhpjad(ji,jj,jk) + va_ad(ji,jj,jk) |
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357 | ! hydrostatic pressure gradient |
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358 | rhd_ad(ji,jj+1,jk ) = rhd_ad(ji,jj+1,jk ) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
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359 | rhd_ad(ji,jj+1,jk-1) = rhd_ad(ji,jj+1,jk-1) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
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360 | rhd_ad(ji,jj ,jk ) = rhd_ad(ji,jj ,jk ) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
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361 | rhd_ad(ji,jj ,jk-1) = rhd_ad(ji,jj ,jk-1) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
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362 | zhpjad(ji,jj ,jk-1) = zhpjad(ji,jj ,jk-1) + zhpjad(ji,jj,jk) |
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363 | zhpjad(ji,jj ,jk ) = 0.0_wp |
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364 | |
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365 | rhd_ad(ji+1,jj,jk ) = rhd_ad(ji+1,jj,jk ) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
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366 | rhd_ad(ji+1,jj,jk-1) = rhd_ad(ji+1,jj,jk-1) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
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367 | rhd_ad(ji ,jj,jk ) = rhd_ad(ji ,jj,jk ) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
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368 | rhd_ad(ji ,jj,jk-1) = rhd_ad(ji ,jj,jk-1) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
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369 | zhpiad(ji ,jj,jk-1) = zhpiad(ji ,jj,jk-1) + zhpiad(ji,jj,jk) |
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370 | zhpiad(ji ,jj,jk ) = 0.0_wp |
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371 | |
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372 | END DO |
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373 | END DO |
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374 | END DO |
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375 | ! Surface value |
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376 | DO jj = 2, jpjm1 |
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377 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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378 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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379 | ! add to the general momentum trend |
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380 | zhpiad(ji,jj,1) = zhpiad(ji,jj,1) + ua_ad(ji,jj,1) |
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381 | zhpjad(ji,jj,1) = zhpjad(ji,jj,1) + va_ad(ji,jj,1) |
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382 | ! hydrostatic pressure gradient |
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383 | rhd_ad(ji,jj+1,1) = rhd_ad(ji,jj+1,1) + zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
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384 | rhd_ad(ji,jj ,1) = rhd_ad(ji,jj ,1) - zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
---|
385 | zhpjad(ji,jj,1) = 0.0_wp |
---|
386 | |
---|
387 | rhd_ad(ji+1,jj,1) = rhd_ad(ji+1,jj,1) + zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
---|
388 | rhd_ad(ji ,jj,1) = rhd_ad(ji ,jj,1) - zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
---|
389 | zhpiad(ji,jj,1) = 0.0_wp |
---|
390 | END DO |
---|
391 | END DO |
---|
392 | ! |
---|
393 | ! |
---|
394 | END SUBROUTINE hpg_zco_adj |
---|
395 | SUBROUTINE hpg_zps_tan( kt ) |
---|
396 | !!--------------------------------------------------------------------- |
---|
397 | !! *** ROUTINE hpg_zps *** |
---|
398 | !! |
---|
399 | !! ** Method of the direct routine: |
---|
400 | !! z-coordinate plus partial steps case. blahblah... |
---|
401 | !! |
---|
402 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
---|
403 | !!---------------------------------------------------------------------- |
---|
404 | !! |
---|
405 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
406 | !! |
---|
407 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
408 | INTEGER :: iku, ikv ! temporary integers |
---|
409 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
---|
410 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpitl, zhpjtl |
---|
411 | !!---------------------------------------------------------------------- |
---|
412 | |
---|
413 | IF( kt == nit000 ) THEN |
---|
414 | IF(lwp) WRITE(numout,*) |
---|
415 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps_tan : hydrostatic pressure gradient trend' |
---|
416 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
---|
417 | ENDIF |
---|
418 | |
---|
419 | ! Local constant initialization |
---|
420 | zcoef0 = - grav * 0.5 |
---|
421 | |
---|
422 | ! Surface value |
---|
423 | DO jj = 2, jpjm1 |
---|
424 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
425 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
---|
426 | ! hydrostatic pressure gradient |
---|
427 | zhpitl(ji,jj,1) = zcoef1 * ( rhd_tl(ji+1,jj ,1) - rhd_tl(ji,jj,1) ) / e1u(ji,jj) |
---|
428 | zhpjtl(ji,jj,1) = zcoef1 * ( rhd_tl(ji ,jj+1,1) - rhd_tl(ji,jj,1) ) / e2v(ji,jj) |
---|
429 | ! add to the general momentum trend |
---|
430 | ua_tl(ji,jj,1) = ua_tl(ji,jj,1) + zhpitl(ji,jj,1) |
---|
431 | va_tl(ji,jj,1) = va_tl(ji,jj,1) + zhpjtl(ji,jj,1) |
---|
432 | END DO |
---|
433 | END DO |
---|
434 | |
---|
435 | ! interior value (2=<jk=<jpkm1) |
---|
436 | DO jk = 2, jpkm1 |
---|
437 | DO jj = 2, jpjm1 |
---|
438 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
439 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
---|
440 | ! hydrostatic pressure gradient |
---|
441 | zhpitl(ji,jj,jk) = zhpitl(ji,jj,jk-1) & |
---|
442 | & + zcoef1 * ( ( rhd_tl(ji+1,jj,jk) + rhd_tl(ji+1,jj,jk-1) ) & |
---|
443 | & - ( rhd_tl(ji ,jj,jk) + rhd_tl(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
---|
444 | |
---|
445 | zhpjtl(ji,jj,jk) = zhpjtl(ji,jj,jk-1) & |
---|
446 | & + zcoef1 * ( ( rhd_tl(ji,jj+1,jk) + rhd_tl(ji,jj+1,jk-1) ) & |
---|
447 | & - ( rhd_tl(ji,jj, jk) + rhd_tl(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
---|
448 | ! add to the general momentum trend |
---|
449 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zhpitl(ji,jj,jk) |
---|
450 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zhpjtl(ji,jj,jk) |
---|
451 | END DO |
---|
452 | END DO |
---|
453 | END DO |
---|
454 | |
---|
455 | ! partial steps correction at the last level (new gradient with intgrd.F) |
---|
456 | # if defined key_vectopt_loop |
---|
457 | jj = 1 |
---|
458 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
---|
459 | # else |
---|
460 | DO jj = 2, jpjm1 |
---|
461 | DO ji = 2, jpim1 |
---|
462 | # endif |
---|
463 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
---|
464 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
---|
465 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
---|
466 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
---|
467 | ! on i-direction |
---|
468 | IF ( iku > 2 ) THEN |
---|
469 | ! subtract old value |
---|
470 | ua_tl(ji,jj,iku) = ua_tl(ji,jj,iku) - zhpitl(ji,jj,iku) |
---|
471 | ! compute the new one |
---|
472 | zhpitl (ji,jj,iku) = zhpitl(ji,jj,iku-1) & |
---|
473 | + zcoef2 * ( rhd_tl(ji+1,jj,iku-1) - rhd_tl(ji,jj,iku-1) + gru_tl(ji,jj) ) / e1u(ji,jj) |
---|
474 | ! add the new one to the general momentum trend |
---|
475 | ua_tl(ji,jj,iku) = ua_tl(ji,jj,iku) + zhpitl(ji,jj,iku) |
---|
476 | ENDIF |
---|
477 | ! on j-direction |
---|
478 | IF ( ikv > 2 ) THEN |
---|
479 | ! subtract old value |
---|
480 | va_tl(ji,jj,ikv) = va_tl(ji,jj,ikv) - zhpjtl(ji,jj,ikv) |
---|
481 | ! compute the new one |
---|
482 | zhpjtl (ji,jj,ikv) = zhpjtl(ji,jj,ikv-1) & |
---|
483 | + zcoef3 * ( rhd_tl(ji,jj+1,ikv-1) - rhd_tl(ji,jj,ikv-1) + grv_tl(ji,jj) ) / e2v(ji,jj) |
---|
484 | ! add the new one to the general momentum trend |
---|
485 | va_tl(ji,jj,ikv) = va_tl(ji,jj,ikv) + zhpjtl(ji,jj,ikv) |
---|
486 | ENDIF |
---|
487 | # if ! defined key_vectopt_loop |
---|
488 | END DO |
---|
489 | # endif |
---|
490 | END DO |
---|
491 | ! |
---|
492 | END SUBROUTINE hpg_zps_tan |
---|
493 | SUBROUTINE hpg_zps_adj( kt ) |
---|
494 | !!--------------------------------------------------------------------- |
---|
495 | !! *** ROUTINE hpg_zps *** |
---|
496 | !! |
---|
497 | !! ** Method of the direct routine: |
---|
498 | !! z-coordinate plus partial steps case. blahblah... |
---|
499 | !! |
---|
500 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
---|
501 | !!---------------------------------------------------------------------- |
---|
502 | !! |
---|
503 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
504 | !! |
---|
505 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
506 | INTEGER :: iku, ikv ! temporary integers |
---|
507 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
---|
508 | REAL(wp), DIMENSION(jpi,jpj,jpk):: zhpiad, zhpjad |
---|
509 | !!---------------------------------------------------------------------- |
---|
510 | |
---|
511 | IF( kt == nitend ) THEN |
---|
512 | IF(lwp) WRITE(numout,*) |
---|
513 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps_adj : hydrostatic pressure gradient trend' |
---|
514 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
---|
515 | ENDIF |
---|
516 | zhpiad(:,:,:) = 0.0_wp |
---|
517 | zhpjad(:,:,:) = 0.0_wp |
---|
518 | ! Local constant initialization |
---|
519 | zcoef0 = - grav * 0.5 |
---|
520 | |
---|
521 | ! partial steps correction at the last level (new gradient with intgrd.F) |
---|
522 | # if defined key_vectopt_loop |
---|
523 | jj = 1 |
---|
524 | DO ji = jpij-jpi-1, jpi+2, -1 ! vector opt. (forced unrolling) |
---|
525 | # else |
---|
526 | DO jj = jpjm1, 2, -1 |
---|
527 | DO ji = jpim1, 2, -1 |
---|
528 | # endif |
---|
529 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
---|
530 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
---|
531 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
---|
532 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
---|
533 | ! on i-direction |
---|
534 | IF ( iku > 2 ) THEN |
---|
535 | ! add the new one to the general momentum trend |
---|
536 | zhpiad(ji,jj,iku) = zhpiad(ji,jj,iku) + ua_ad(ji,jj,iku) |
---|
537 | ! compute the new one |
---|
538 | rhd_ad(ji+1,jj,iku-1) = rhd_ad(ji+1,jj,iku-1) + zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
---|
539 | rhd_ad(ji,jj,iku-1) = rhd_ad(ji,jj,iku-1) - zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
---|
540 | gru_ad(ji,jj) = gru_ad(ji,jj) + zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
---|
541 | zhpiad(ji,jj,iku-1) = zhpiad(ji,jj,iku-1) + zhpiad (ji,jj,iku) |
---|
542 | zhpiad (ji,jj,iku) = 0.0_wp |
---|
543 | ! subtract old value |
---|
544 | zhpiad(ji,jj,iku) = zhpiad(ji,jj,iku) - ua_ad(ji,jj,iku) |
---|
545 | ENDIF |
---|
546 | ! on j-direction |
---|
547 | IF ( ikv > 2 ) THEN |
---|
548 | ! add the new one to the general momentum trend |
---|
549 | zhpjad(ji,jj,ikv) = zhpjad(ji,jj,ikv) + va_ad(ji,jj,ikv) |
---|
550 | ! compute the new one |
---|
551 | rhd_ad(ji,jj+1,ikv-1) = rhd_ad(ji,jj+1,ikv-1) + zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
---|
552 | rhd_ad(ji,jj,ikv-1) = rhd_ad(ji,jj,ikv-1) -zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
---|
553 | grv_ad(ji,jj) = grv_ad(ji,jj) +zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
---|
554 | zhpjad(ji,jj,ikv-1) = zhpjad(ji,jj,ikv-1) + zhpjad(ji,jj,ikv) |
---|
555 | zhpjad (ji,jj,ikv) = 0.0_wp |
---|
556 | ! subtract old value |
---|
557 | zhpjad(ji,jj,ikv) = zhpjad(ji,jj,ikv) - va_ad(ji,jj,ikv) |
---|
558 | ENDIF |
---|
559 | # if ! defined key_vectopt_loop |
---|
560 | END DO |
---|
561 | # endif |
---|
562 | END DO |
---|
563 | ! |
---|
564 | |
---|
565 | |
---|
566 | ! interior value (2=<jk=<jpkm1) |
---|
567 | DO jk = jpkm1, 2, -1 |
---|
568 | DO jj = jpjm1, 2, -1 |
---|
569 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
570 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
---|
571 | ! add to the general momentum trend |
---|
572 | zhpiad(ji,jj,jk) = zhpiad(ji,jj,jk) + ua_ad(ji,jj,jk) |
---|
573 | zhpjad(ji,jj,jk) = zhpjad(ji,jj,jk) + va_ad(ji,jj,jk) |
---|
574 | ! hydrostatic pressure gradient |
---|
575 | rhd_ad(ji,jj+1,jk ) = rhd_ad(ji,jj+1,jk ) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
---|
576 | rhd_ad(ji,jj+1,jk-1) = rhd_ad(ji,jj+1,jk-1) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
---|
577 | rhd_ad(ji,jj ,jk ) = rhd_ad(ji,jj ,jk ) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
---|
578 | rhd_ad(ji,jj ,jk-1) = rhd_ad(ji,jj ,jk-1) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
---|
579 | zhpjad(ji,jj ,jk-1) = zhpjad(ji,jj ,jk-1) + zhpjad(ji,jj,jk) |
---|
580 | zhpjad(ji,jj ,jk ) = 0.0_wp |
---|
581 | |
---|
582 | rhd_ad(ji+1,jj,jk ) = rhd_ad(ji+1,jj,jk ) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
---|
583 | rhd_ad(ji+1,jj,jk-1) = rhd_ad(ji+1,jj,jk-1) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
---|
584 | rhd_ad(ji ,jj,jk ) = rhd_ad(ji ,jj,jk ) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
---|
585 | rhd_ad(ji ,jj,jk-1) = rhd_ad(ji ,jj,jk-1) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
---|
586 | zhpiad(ji ,jj,jk-1) = zhpiad(ji ,jj,jk-1) + zhpiad(ji,jj,jk) |
---|
587 | zhpiad(ji ,jj,jk ) = 0.0_wp |
---|
588 | END DO |
---|
589 | END DO |
---|
590 | END DO |
---|
591 | ! Surface value |
---|
592 | DO jj = jpjm1, 2, -1 |
---|
593 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
594 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
---|
595 | ! add to the general momentum trend |
---|
596 | zhpiad(ji,jj,1) = zhpiad(ji,jj,1) + ua_ad(ji,jj,1) |
---|
597 | zhpjad(ji,jj,1) = zhpjad(ji,jj,1) + va_ad(ji,jj,1) |
---|
598 | ! hydrostatic pressure gradient |
---|
599 | rhd_ad(ji+1,jj ,1) = rhd_ad(ji+1,jj ,1) + zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
---|
600 | rhd_ad(ji ,jj ,1) = rhd_ad(ji ,jj ,1) - zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
---|
601 | rhd_ad(ji ,jj+1,1) = rhd_ad(ji ,jj+1,1) + zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
---|
602 | rhd_ad(ji ,jj ,1) = rhd_ad(ji ,jj ,1) - zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
---|
603 | zhpiad(ji ,jj ,1) = 0.0_wp |
---|
604 | zhpjad(ji ,jj ,1) = 0.0_wp |
---|
605 | END DO |
---|
606 | END DO |
---|
607 | |
---|
608 | END SUBROUTINE hpg_zps_adj |
---|
609 | SUBROUTINE hpg_sco_tan( kt ) |
---|
610 | !!--------------------------------------------------------------------- |
---|
611 | !! *** ROUTINE hpg_sco_tan *** |
---|
612 | !! |
---|
613 | !! ** Method of the direct routine: s-coordinate case. Jacobian scheme. |
---|
614 | !! The now hydrostatic pressure gradient at a given level, jk, |
---|
615 | !! is computed by taking the vertical integral of the in-situ |
---|
616 | !! density gradient along the model level from the suface to that |
---|
617 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
618 | !! to the horizontal pressure gradient : |
---|
619 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
620 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
621 | !! add it to the general momentum trend (ua,va). |
---|
622 | !! ua = ua - 1/e1u * zhpi |
---|
623 | !! va = va - 1/e2v * zhpj |
---|
624 | !! |
---|
625 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
626 | !!---------------------------------------------------------------------- |
---|
627 | !! |
---|
628 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
629 | CALL ctl_stop( 'hpg_sco_tan not available yet') |
---|
630 | END SUBROUTINE hpg_sco_tan |
---|
631 | SUBROUTINE hpg_sco_adj( kt ) |
---|
632 | !!--------------------------------------------------------------------- |
---|
633 | !! *** ROUTINE hpg_sco_adj *** |
---|
634 | !! |
---|
635 | !! ** Method of the direct routine: s-coordinate case. Jacobian scheme. |
---|
636 | !! The now hydrostatic pressure gradient at a given level, jk, |
---|
637 | !! is computed by taking the vertical integral of the in-situ |
---|
638 | !! density gradient along the model level from the suface to that |
---|
639 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
640 | !! to the horizontal pressure gradient : |
---|
641 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
642 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
643 | !! add it to the general momentum trend (ua,va). |
---|
644 | !! ua = ua - 1/e1u * zhpi |
---|
645 | !! va = va - 1/e2v * zhpj |
---|
646 | !! |
---|
647 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
648 | !!---------------------------------------------------------------------- |
---|
649 | !! |
---|
650 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
651 | CALL ctl_stop( 'hpg_sco_adj not available yet') |
---|
652 | END SUBROUTINE hpg_sco_adj |
---|
653 | SUBROUTINE hpg_hel_tan( kt ) |
---|
654 | !!--------------------------------------------------------------------- |
---|
655 | !! *** ROUTINE hpg_hel_tan *** |
---|
656 | !! |
---|
657 | !! ** Method of the direct routine: s-coordinate case. |
---|
658 | !! The now hydrostatic pressure gradient at a given level |
---|
659 | !! jk is computed by taking the vertical integral of the in-situ |
---|
660 | !! density gradient along the model level from the suface to that |
---|
661 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
662 | !! to the horizontal pressure gradient : |
---|
663 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
664 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
665 | !! add it to the general momentum trend (ua,va). |
---|
666 | !! ua = ua - 1/e1u * zhpi |
---|
667 | !! va = va - 1/e2v * zhpj |
---|
668 | !! |
---|
669 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
670 | !! - Save the trend (l_trddyn=T) |
---|
671 | !!---------------------------------------------------------------------- |
---|
672 | !! |
---|
673 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
674 | CALL ctl_stop( 'hpg_hel_tan not available yet') |
---|
675 | END SUBROUTINE hpg_hel_tan |
---|
676 | SUBROUTINE hpg_hel_adj( kt ) |
---|
677 | !!--------------------------------------------------------------------- |
---|
678 | !! *** ROUTINE hpg_hel_adj *** |
---|
679 | !! |
---|
680 | !! ** Method of the direct routine: s-coordinate case. |
---|
681 | !! The now hydrostatic pressure gradient at a given level |
---|
682 | !! jk is computed by taking the vertical integral of the in-situ |
---|
683 | !! density gradient along the model level from the suface to that |
---|
684 | !! level. s-coordinates (ln_sco): a corrective term is added |
---|
685 | !! to the horizontal pressure gradient : |
---|
686 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
---|
687 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
---|
688 | !! add it to the general momentum trend (ua,va). |
---|
689 | !! ua = ua - 1/e1u * zhpi |
---|
690 | !! va = va - 1/e2v * zhpj |
---|
691 | !! |
---|
692 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
---|
693 | !! - Save the trend (l_trddyn=T) |
---|
694 | !!---------------------------------------------------------------------- |
---|
695 | !! |
---|
696 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
697 | CALL ctl_stop( 'hpg_hel_adj not available yet') |
---|
698 | END SUBROUTINE hpg_hel_adj |
---|
699 | SUBROUTINE hpg_wdj_tan( kt ) |
---|
700 | !!--------------------------------------------------------------------- |
---|
701 | !! *** ROUTINE hpg_wdj_tan *** |
---|
702 | !! |
---|
703 | !! ** Method of the direct roiutine: |
---|
704 | !! Weighted Density Jacobian (wdj) scheme (song 1998) |
---|
705 | !! The weighting coefficients from the namelist parameter gamm |
---|
706 | !! (alpha=0.5-gamm ; beta=1-alpha=0.5+gamm) |
---|
707 | !! |
---|
708 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
---|
709 | !!---------------------------------------------------------------------- |
---|
710 | !! |
---|
711 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
712 | CALL ctl_stop( 'hpg_wdj_tan not available yet') |
---|
713 | END SUBROUTINE hpg_wdj_tan |
---|
714 | SUBROUTINE hpg_wdj_adj( kt ) |
---|
715 | !!--------------------------------------------------------------------- |
---|
716 | !! *** ROUTINE hpg_wdj_adj *** |
---|
717 | !! |
---|
718 | !! ** Method of the direct roiutine: |
---|
719 | !! Weighted Density Jacobian (wdj) scheme (song 1998) |
---|
720 | !! The weighting coefficients from the namelist parameter gamm |
---|
721 | !! (alpha=0.5-gamm ; beta=1-alpha=0.5+gamm) |
---|
722 | !! |
---|
723 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
---|
724 | !!---------------------------------------------------------------------- |
---|
725 | !! |
---|
726 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
727 | CALL ctl_stop( 'hpg_wdj_adj not available yet') |
---|
728 | END SUBROUTINE hpg_wdj_adj |
---|
729 | SUBROUTINE hpg_djc_tan( kt ) |
---|
730 | !!--------------------------------------------------------------------- |
---|
731 | !! *** ROUTINE hpg_djc_tan *** |
---|
732 | !! |
---|
733 | !! ** Method : Density Jacobian with Cubic polynomial scheme |
---|
734 | !! |
---|
735 | !! Reference: Shchepetkin and McWilliams, J. Geophys. Res., 108(C3), 3090, 2003 |
---|
736 | !!---------------------------------------------------------------------- |
---|
737 | !! |
---|
738 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
739 | !! |
---|
740 | CALL ctl_stop( 'hpg_djc_tan not available yet') |
---|
741 | END SUBROUTINE hpg_djc_tan |
---|
742 | SUBROUTINE hpg_djc_adj( kt ) |
---|
743 | !!--------------------------------------------------------------------- |
---|
744 | !! *** ROUTINE hpg_djc_adj *** |
---|
745 | !! |
---|
746 | !! ** Method : Density Jacobian with Cubic polynomial scheme |
---|
747 | !! |
---|
748 | !! Reference: Shchepetkin and McWilliams, J. Geophys. Res., 108(C3), 3090, 2003 |
---|
749 | !!---------------------------------------------------------------------- |
---|
750 | !! |
---|
751 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
752 | !! |
---|
753 | CALL ctl_stop( 'hpg_djc_adj not available yet') |
---|
754 | END SUBROUTINE hpg_djc_adj |
---|
755 | SUBROUTINE hpg_rot_tan( kt ) |
---|
756 | !!--------------------------------------------------------------------- |
---|
757 | !! *** ROUTINE hpg_rot_tan *** |
---|
758 | !! |
---|
759 | !! ** Method : rotated axes scheme (Thiem and Berntsen 2005) |
---|
760 | !! |
---|
761 | !! Reference: Thiem & Berntsen, Ocean Modelling, In press, 2005. |
---|
762 | !!---------------------------------------------------------------------- |
---|
763 | !! |
---|
764 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
765 | !! |
---|
766 | CALL ctl_stop( 'hpg_rot_tan not available yet') |
---|
767 | END SUBROUTINE hpg_rot_tan |
---|
768 | SUBROUTINE hpg_rot_adj( kt ) |
---|
769 | !!--------------------------------------------------------------------- |
---|
770 | !! *** ROUTINE hpg_rot_adj *** |
---|
771 | !! |
---|
772 | !! ** Method : rotated axes scheme (Thiem and Berntsen 2005) |
---|
773 | !! |
---|
774 | !! Reference: Thiem & Berntsen, Ocean Modelling, In press, 2005. |
---|
775 | !!---------------------------------------------------------------------- |
---|
776 | !! |
---|
777 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
778 | !! |
---|
779 | CALL ctl_stop( 'hpg_rot_adj not available yet') |
---|
780 | END SUBROUTINE hpg_rot_adj |
---|
781 | |
---|
782 | SUBROUTINE dyn_hpg_adj_tst( kumadt ) |
---|
783 | !!----------------------------------------------------------------------- |
---|
784 | !! |
---|
785 | !! *** ROUTINE dynhpg_adj_tst *** |
---|
786 | !! |
---|
787 | !! ** Purpose : Test the adjoint routine. |
---|
788 | !! |
---|
789 | !! ** Method : Verify the scalar product |
---|
790 | !! |
---|
791 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
792 | !! |
---|
793 | !! where L = tangent routine |
---|
794 | !! L^T = adjoint routine |
---|
795 | !! W = diagonal matrix of scale factors |
---|
796 | !! dx = input perturbation (random field) |
---|
797 | !! dy = L dx |
---|
798 | !! |
---|
799 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
800 | !! |
---|
801 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
802 | !! |
---|
803 | !! History : |
---|
804 | !! ! 08-07 (A. Vidard) |
---|
805 | !!----------------------------------------------------------------------- |
---|
806 | !! * Modules used |
---|
807 | |
---|
808 | !! * Arguments |
---|
809 | INTEGER, INTENT(IN) :: & |
---|
810 | & kumadt ! Output unit |
---|
811 | |
---|
812 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
813 | & zrhd_tlin, & ! in situ density anomalie |
---|
814 | & zua_tlin, & ! after u- velocity |
---|
815 | & zva_tlin, & ! after v- velocity |
---|
816 | & zua_tlout, & ! after u- velocity |
---|
817 | & zva_tlout ! after v- velocity |
---|
818 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
819 | & zrhd_adout, & ! in situ density anomalie |
---|
820 | & zua_adout, & ! after u- velocity |
---|
821 | & zva_adout, & ! after v- velocity |
---|
822 | & zua_adin, & ! after u- velocity |
---|
823 | & zva_adin ! after v- velocity |
---|
824 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
825 | & zgru_tlin, & |
---|
826 | & zgrv_tlin, & |
---|
827 | & zgru_adout, & |
---|
828 | & zgrv_adout |
---|
829 | |
---|
830 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
831 | & zrh, & ! 3D random field for rhd |
---|
832 | & zau, & ! 3D random field for u |
---|
833 | & zav ! 3D random field for v |
---|
834 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
835 | & zgru, & ! 2D random field for gru |
---|
836 | & zgrv ! 2D random field for grv |
---|
837 | REAL(KIND=wp) :: & |
---|
838 | & zsp1, & ! scalar product involving the tangent routine |
---|
839 | & zsp1_1, & ! scalar product components |
---|
840 | & zsp1_2, & |
---|
841 | & zsp2, & ! scalar product involving the adjoint routine |
---|
842 | & zsp2_1, & ! scalar product components |
---|
843 | & zsp2_2, & |
---|
844 | & zsp2_3, & |
---|
845 | & zsp2_4, & |
---|
846 | & zsp2_5 |
---|
847 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
848 | & iseed_2d ! 2D seed for the random number generator |
---|
849 | INTEGER :: & |
---|
850 | & iseed, & |
---|
851 | & ji, & |
---|
852 | & jj, & |
---|
853 | & jk |
---|
854 | CHARACTER(LEN=14) :: cl_name |
---|
855 | |
---|
856 | ! Allocate memory |
---|
857 | ALLOCATE( & |
---|
858 | & zrhd_tlin(jpi,jpj,jpk), & |
---|
859 | & zua_tlin(jpi,jpj,jpk), & |
---|
860 | & zva_tlin(jpi,jpj,jpk), & |
---|
861 | & zgru_tlin(jpi,jpj), & |
---|
862 | & zgrv_tlin(jpi,jpj), & |
---|
863 | & zua_tlout(jpi,jpj,jpk), & |
---|
864 | & zva_tlout(jpi,jpj,jpk), & |
---|
865 | & zrhd_adout(jpi,jpj,jpk), & |
---|
866 | & zua_adout(jpi,jpj,jpk), & |
---|
867 | & zva_adout(jpi,jpj,jpk), & |
---|
868 | & zgru_adout(jpi,jpj), & |
---|
869 | & zgrv_adout(jpi,jpj), & |
---|
870 | & zua_adin(jpi,jpj,jpk), & |
---|
871 | & zva_adin(jpi,jpj,jpk), & |
---|
872 | & zrh(jpi,jpj,jpk), & |
---|
873 | & zau(jpi,jpj,jpk), & |
---|
874 | & zav(jpi,jpj,jpk), & |
---|
875 | & zgru(jpi,jpj), & |
---|
876 | & zgrv(jpi,jpj) & |
---|
877 | & ) |
---|
878 | |
---|
879 | |
---|
880 | !================================================================== |
---|
881 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
---|
882 | ! dy = ( hdivb_tl, hdivn_tl ) |
---|
883 | !================================================================== |
---|
884 | |
---|
885 | !-------------------------------------------------------------------- |
---|
886 | ! Reset the tangent and adjoint variables |
---|
887 | !-------------------------------------------------------------------- |
---|
888 | zrhd_tlin(:,:,:) = 0.0_wp |
---|
889 | zua_tlin(:,:,:) = 0.0_wp |
---|
890 | zva_tlin(:,:,:) = 0.0_wp |
---|
891 | zgru_tlin(:,:) = 0.0_wp |
---|
892 | zgrv_tlin(:,:) = 0.0_wp |
---|
893 | zua_tlout(:,:,:) = 0.0_wp |
---|
894 | zva_tlout(:,:,:) = 0.0_wp |
---|
895 | zgru_adout(:,:) = 0.0_wp |
---|
896 | zgrv_adout(:,:) = 0.0_wp |
---|
897 | zrhd_adout(:,:,:) = 0.0_wp |
---|
898 | zua_adout(:,:,:) = 0.0_wp |
---|
899 | zva_adout(:,:,:) = 0.0_wp |
---|
900 | zua_adin(:,:,:) = 0.0_wp |
---|
901 | zva_adin(:,:,:) = 0.0_wp |
---|
902 | zrh(:,:,:) = 0.0_wp |
---|
903 | zau(:,:,:) = 0.0_wp |
---|
904 | zav(:,:,:) = 0.0_wp |
---|
905 | zgru(:,:) = 0.0_wp |
---|
906 | zgrv(:,:) = 0.0_wp |
---|
907 | |
---|
908 | |
---|
909 | gru_tl(:,:) = 0.0_wp |
---|
910 | grv_tl(:,:) = 0.0_wp |
---|
911 | gru_ad(:,:) = 0.0_wp |
---|
912 | grv_ad(:,:) = 0.0_wp |
---|
913 | ua_tl(:,:,:) = 0.0_wp |
---|
914 | va_tl(:,:,:) = 0.0_wp |
---|
915 | rhd_tl(:,:,:) = 0.0_wp |
---|
916 | ua_ad(:,:,:) = 0.0_wp |
---|
917 | va_ad(:,:,:) = 0.0_wp |
---|
918 | rhd_ad(:,:,:) = 0.0_wp |
---|
919 | |
---|
920 | !-------------------------------------------------------------------- |
---|
921 | ! Initialize the tangent input with random noise: dx |
---|
922 | !-------------------------------------------------------------------- |
---|
923 | |
---|
924 | DO jj = 1, jpj |
---|
925 | DO ji = 1, jpi |
---|
926 | iseed_2d(ji,jj) = - ( 596035 + & |
---|
927 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
928 | END DO |
---|
929 | END DO |
---|
930 | CALL grid_random( iseed_2d, zau, 'U', 0.0_wp, stdu ) |
---|
931 | |
---|
932 | DO jj = 1, jpj |
---|
933 | DO ji = 1, jpi |
---|
934 | iseed_2d(ji,jj) = - ( 523432 + & |
---|
935 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
936 | END DO |
---|
937 | END DO |
---|
938 | CALL grid_random( iseed_2d, zav, 'V', 0.0_wp, stdv ) |
---|
939 | |
---|
940 | DO jj = 1, jpj |
---|
941 | DO ji = 1, jpi |
---|
942 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
943 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
944 | END DO |
---|
945 | END DO |
---|
946 | CALL grid_random( iseed_2d, zrh, 'W', 0.0_wp, stdr ) |
---|
947 | |
---|
948 | DO jj = 1, jpj |
---|
949 | DO ji = 1, jpi |
---|
950 | iseed_2d(ji,jj) = - ( 432545 + & |
---|
951 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
952 | END DO |
---|
953 | END DO |
---|
954 | CALL grid_random( iseed_2d, zgru, 'U', 0.0_wp, stdu ) |
---|
955 | |
---|
956 | DO jj = 1, jpj |
---|
957 | DO ji = 1, jpi |
---|
958 | iseed_2d(ji,jj) = - ( 287503 + & |
---|
959 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
960 | END DO |
---|
961 | END DO |
---|
962 | CALL grid_random( iseed_2d, zgrv, 'V', 0.0_wp, stdv ) |
---|
963 | |
---|
964 | DO jk = 1, jpk |
---|
965 | DO jj = nldj, nlej |
---|
966 | DO ji = nldi, nlei |
---|
967 | zrhd_tlin(ji,jj,jk) = zrh(ji,jj,jk) |
---|
968 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
---|
969 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
---|
970 | END DO |
---|
971 | END DO |
---|
972 | END DO |
---|
973 | DO jj = nldj, nlej |
---|
974 | DO ji = nldi, nlei |
---|
975 | zgru_tlin(ji,jj) = zgru(ji,jj) |
---|
976 | zgrv_tlin(ji,jj) = zgrv(ji,jj) |
---|
977 | END DO |
---|
978 | END DO |
---|
979 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
---|
980 | va_tl(:,:,:) = zva_tlin(:,:,:) |
---|
981 | rhd_tl(:,:,:) = zrhd_tlin(:,:,:) |
---|
982 | gru_tl(:,:) = zgru_tlin(:,:) |
---|
983 | grv_tl(:,:) = zgrv_tlin(:,:) |
---|
984 | |
---|
985 | CALL dyn_hpg_tan ( nit000 ) |
---|
986 | |
---|
987 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
---|
988 | zva_tlout(:,:,:) = va_tl(:,:,:) |
---|
989 | !-------------------------------------------------------------------- |
---|
990 | ! Initialize the adjoint variables: dy^* = W dy |
---|
991 | !-------------------------------------------------------------------- |
---|
992 | |
---|
993 | DO jk = 1, jpk |
---|
994 | DO jj = nldj, nlej |
---|
995 | DO ji = nldi, nlei |
---|
996 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
---|
997 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
---|
998 | & * umask(ji,jj,jk) |
---|
999 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
---|
1000 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
---|
1001 | & * vmask(ji,jj,jk) |
---|
1002 | END DO |
---|
1003 | END DO |
---|
1004 | END DO |
---|
1005 | !-------------------------------------------------------------------- |
---|
1006 | ! Compute the scalar product: ( L dx )^T W dy |
---|
1007 | !-------------------------------------------------------------------- |
---|
1008 | |
---|
1009 | zsp1_1 = DOT_PRODUCT( zua_tlout, zua_adin ) |
---|
1010 | zsp1_2 = DOT_PRODUCT( zva_tlout, zva_adin ) |
---|
1011 | zsp1 = zsp1_1 + zsp1_2 |
---|
1012 | |
---|
1013 | !-------------------------------------------------------------------- |
---|
1014 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
1015 | !-------------------------------------------------------------------- |
---|
1016 | |
---|
1017 | ua_ad(:,:,:) = zua_adin(:,:,:) |
---|
1018 | va_ad(:,:,:) = zva_adin(:,:,:) |
---|
1019 | |
---|
1020 | CALL dyn_hpg_adj ( nit000 ) |
---|
1021 | |
---|
1022 | zgru_adout(:,:) = gru_ad(:,:) |
---|
1023 | zgrv_adout(:,:) = grv_ad(:,:) |
---|
1024 | zrhd_adout(:,:,:) = rhd_ad(:,:,:) |
---|
1025 | zua_adout(:,:,:) = ua_ad(:,:,:) |
---|
1026 | zva_adout(:,:,:) = va_ad(:,:,:) |
---|
1027 | |
---|
1028 | zsp2_1 = DOT_PRODUCT( zgru_tlin, zgru_adout ) |
---|
1029 | zsp2_2 = DOT_PRODUCT( zgrv_tlin, zgrv_adout ) |
---|
1030 | zsp2_3 = DOT_PRODUCT( zrhd_tlin, zrhd_adout ) |
---|
1031 | zsp2_4 = DOT_PRODUCT( zua_tlin, zua_adout ) |
---|
1032 | zsp2_5 = DOT_PRODUCT( zva_tlin, zva_adout ) |
---|
1033 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 + zsp2_5 |
---|
1034 | ! Compare the scalar products |
---|
1035 | |
---|
1036 | cl_name = 'dyn_hpg_adj ' |
---|
1037 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
1038 | |
---|
1039 | DEALLOCATE( & |
---|
1040 | & zrhd_tlin, & |
---|
1041 | & zua_tlin, & |
---|
1042 | & zva_tlin, & |
---|
1043 | & zgru_tlin, & |
---|
1044 | & zgrv_tlin, & |
---|
1045 | & zua_tlout, & |
---|
1046 | & zva_tlout, & |
---|
1047 | & zrhd_adout, & |
---|
1048 | & zua_adout, & |
---|
1049 | & zva_adout, & |
---|
1050 | & zgru_adout, & |
---|
1051 | & zgrv_adout, & |
---|
1052 | & zua_adin, & |
---|
1053 | & zva_adin, & |
---|
1054 | & zrh, & |
---|
1055 | & zau, & |
---|
1056 | & zav, & |
---|
1057 | & zgru, & |
---|
1058 | & zgrv & |
---|
1059 | & ) |
---|
1060 | END SUBROUTINE dyn_hpg_adj_tst |
---|
1061 | |
---|
1062 | SUBROUTINE dyn_hpg_tlm_tst( kumadt ) |
---|
1063 | !!----------------------------------------------------------------------- |
---|
1064 | !! |
---|
1065 | !! *** ROUTINE dyn_hpg_tlm_tst *** |
---|
1066 | !! |
---|
1067 | !! ** Purpose : Test the adjoint routine. |
---|
1068 | !! |
---|
1069 | !! ** Method : Verify the tangent with Taylor expansion |
---|
1070 | !! |
---|
1071 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
---|
1072 | !! |
---|
1073 | !! where L = tangent routine |
---|
1074 | !! M = direct routine |
---|
1075 | !! dx = input perturbation (random field) |
---|
1076 | !! h = ration on perturbation |
---|
1077 | !! |
---|
1078 | !! History : |
---|
1079 | !! ! 09-08 (A. Vigilant) |
---|
1080 | !!----------------------------------------------------------------------- |
---|
1081 | !! * Modules used |
---|
1082 | USE dynhpg |
---|
1083 | USE zpshde |
---|
1084 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
---|
1085 | & eos |
---|
1086 | USE zpshde_tam |
---|
1087 | USE eosbn2_tam, ONLY: & ! horizontal & vertical advective trend |
---|
1088 | & eos_tan |
---|
1089 | USE tamtrj ! writing out state trajectory |
---|
1090 | USE par_tlm, ONLY: & |
---|
1091 | & cur_loop, & |
---|
1092 | & h_ratio |
---|
1093 | USE istate_mod |
---|
1094 | USE divcur ! horizontal divergence and relative vorticity |
---|
1095 | USE wzvmod ! vertical velocity |
---|
1096 | USE gridrandom, ONLY: & |
---|
1097 | & grid_rd_sd |
---|
1098 | USE trj_tam |
---|
1099 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
---|
1100 | & ua, va, rhd, & |
---|
1101 | & gru, grv, & |
---|
1102 | & un, vn, & |
---|
1103 | & tn, sn, gtu, gtv, & |
---|
1104 | & gsu, gsv, rhop |
---|
1105 | USE opatam_tst_ini, ONLY: & |
---|
1106 | & tlm_namrd |
---|
1107 | USE tamctl, ONLY: & ! Control parameters |
---|
1108 | & numtan, numtan_sc |
---|
1109 | !! * Arguments |
---|
1110 | INTEGER, INTENT(IN) :: & |
---|
1111 | & kumadt ! Output unit |
---|
1112 | !! * Local declarations |
---|
1113 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
1114 | & zrd_tlin, & ! in situ density anomalie |
---|
1115 | & zua_tlin, & ! after u- velocity |
---|
1116 | & zva_tlin, & ! after v- velocity |
---|
1117 | & ztn_tlin, & ! after u- velocity |
---|
1118 | & zsn_tlin, & ! after v- velocity |
---|
1119 | & zua_wop, & ! after u- velocity |
---|
1120 | & zva_wop, & ! after v- velocity |
---|
1121 | & zua_out, & ! after u- velocity |
---|
1122 | & zva_out ! after v- velocity |
---|
1123 | |
---|
1124 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
1125 | & zgru_tlin, & |
---|
1126 | & zgrv_tlin |
---|
1127 | |
---|
1128 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
1129 | & zrh, & ! 3D random field for rhd |
---|
1130 | & zau, & ! 3D random field for u |
---|
1131 | & zav ! 3D random field for v |
---|
1132 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
1133 | & zgru, & ! 2D random field for gru |
---|
1134 | & zgrv ! 2D random field for grv |
---|
1135 | |
---|
1136 | REAL(KIND=wp) :: & |
---|
1137 | & zsp1, & ! scalar product |
---|
1138 | & zsp1_1, & ! scalar product |
---|
1139 | & zsp1_2, & |
---|
1140 | & zsp2, & ! scalar product |
---|
1141 | & zsp2_1, & ! scalar product |
---|
1142 | & zsp2_2, & |
---|
1143 | & zsp3, & ! scalar product |
---|
1144 | & zsp3_1, & |
---|
1145 | & zsp3_2, & |
---|
1146 | & zzsp, & ! scalar product |
---|
1147 | & zzsp_1, & |
---|
1148 | & zzsp_2, & |
---|
1149 | & gamma, & |
---|
1150 | & zgsp1, & |
---|
1151 | & zgsp2, & |
---|
1152 | & zgsp3, & |
---|
1153 | & zgsp4, & |
---|
1154 | & zgsp5, & |
---|
1155 | & zgsp6, & |
---|
1156 | & zgsp7 |
---|
1157 | INTEGER :: & |
---|
1158 | & ji, & |
---|
1159 | & jj, & |
---|
1160 | & jk |
---|
1161 | CHARACTER(LEN=14) :: cl_name |
---|
1162 | CHARACTER (LEN=128) :: file_out, file_wop |
---|
1163 | CHARACTER (LEN=90) :: FMT |
---|
1164 | REAL(KIND=wp), DIMENSION(100):: & |
---|
1165 | & zscua, zscva, & |
---|
1166 | & zscerrua, & |
---|
1167 | & zscerrva |
---|
1168 | INTEGER, DIMENSION(100):: & |
---|
1169 | & iiposua, iiposva, & |
---|
1170 | & ijposua, ijposva, & |
---|
1171 | & ikposua, ikposva |
---|
1172 | INTEGER:: & |
---|
1173 | & ii, & |
---|
1174 | & isamp=40, & |
---|
1175 | & jsamp=40, & |
---|
1176 | & ksamp=10, & |
---|
1177 | & numsctlm |
---|
1178 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
1179 | & zerrua, zerrva |
---|
1180 | ! Allocate memory |
---|
1181 | ALLOCATE( & |
---|
1182 | & zrd_tlin(jpi,jpj,jpk), & |
---|
1183 | & zua_tlin(jpi,jpj,jpk), & |
---|
1184 | & zva_tlin(jpi,jpj,jpk), & |
---|
1185 | & ztn_tlin(jpi,jpj,jpk), & |
---|
1186 | & zsn_tlin(jpi,jpj,jpk), & |
---|
1187 | & zgru_tlin(jpi,jpj), & |
---|
1188 | & zgrv_tlin(jpi,jpj), & |
---|
1189 | & zua_wop (jpi,jpj,jpk), & |
---|
1190 | & zva_wop (jpi,jpj,jpk), & |
---|
1191 | & zua_out (jpi,jpj,jpk), & |
---|
1192 | & zva_out (jpi,jpj,jpk), & |
---|
1193 | & zrh( jpi,jpj,jpk), & |
---|
1194 | & zau( jpi,jpj,jpk), & |
---|
1195 | & zav( jpi,jpj,jpk), & |
---|
1196 | & zgru( jpi,jpj), & |
---|
1197 | & zgrv( jpi,jpj) & |
---|
1198 | & ) |
---|
1199 | |
---|
1200 | !-------------------------------------------------------------------- |
---|
1201 | ! Reset variables |
---|
1202 | !-------------------------------------------------------------------- |
---|
1203 | zrd_tlin( :,:,:) = 0.0_wp |
---|
1204 | zgru_tlin( :,:) = 0.0_wp |
---|
1205 | zgrv_tlin( :,:) = 0.0_wp |
---|
1206 | zua_tlin( :,:,:) = 0.0_wp |
---|
1207 | zva_tlin( :,:,:) = 0.0_wp |
---|
1208 | ztn_tlin( :,:,:) = 0.0_wp |
---|
1209 | zsn_tlin( :,:,:) = 0.0_wp |
---|
1210 | zua_out ( :,:,:) = 0.0_wp |
---|
1211 | zva_out ( :,:,:) = 0.0_wp |
---|
1212 | zua_wop ( :,:,:) = 0.0_wp |
---|
1213 | zva_wop ( :,:,:) = 0.0_wp |
---|
1214 | |
---|
1215 | zrh(:,:,:) = 0.0_wp |
---|
1216 | zau(:,:,:) = 0.0_wp |
---|
1217 | zav(:,:,:) = 0.0_wp |
---|
1218 | zgru(:,:) = 0.0_wp |
---|
1219 | zgrv(:,:) = 0.0_wp |
---|
1220 | |
---|
1221 | zscua(:) = 0.0_wp |
---|
1222 | zscva(:) = 0.0_wp |
---|
1223 | zscerrua(:) = 0.0_wp |
---|
1224 | zscerrva(:) = 0.0_wp |
---|
1225 | zerrua(:,:,:) = 0.0_wp |
---|
1226 | zerrva(:,:,:) = 0.0_wp |
---|
1227 | !-------------------------------------------------------------------- |
---|
1228 | ! Output filename Xn=F(X0) |
---|
1229 | !-------------------------------------------------------------------- |
---|
1230 | file_wop='trj_wop_dynhpg' |
---|
1231 | |
---|
1232 | CALL tlm_namrd |
---|
1233 | gamma = h_ratio |
---|
1234 | |
---|
1235 | !-------------------------------------------------------------------- |
---|
1236 | ! Initialize the tangent input with random noise: dx |
---|
1237 | !-------------------------------------------------------------------- |
---|
1238 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
1239 | CALL grid_rd_sd( 596035, zau, 'U', 0.0_wp, stdu) |
---|
1240 | CALL grid_rd_sd( 523432, zav, 'V', 0.0_wp, stdv) |
---|
1241 | CALL grid_rd_sd( 456953, zrh, 'W', 0.0_wp, stdr) |
---|
1242 | CALL grid_rd_sd( 432545, zgru, 'U', 0.0_wp, stdu) |
---|
1243 | CALL grid_rd_sd( 287503, zgrv, 'V', 0.0_wp, stdv) |
---|
1244 | DO jk = 1, jpk |
---|
1245 | DO jj = nldj, nlej |
---|
1246 | DO ji = nldi, nlei |
---|
1247 | zrd_tlin(ji,jj,jk) = zrh(ji,jj,jk) |
---|
1248 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
---|
1249 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
---|
1250 | END DO |
---|
1251 | END DO |
---|
1252 | END DO |
---|
1253 | |
---|
1254 | DO jj = nldj, nlej |
---|
1255 | DO ji = nldi, nlei |
---|
1256 | zgru_tlin(ji,jj) = zgru(ji,jj) |
---|
1257 | zgrv_tlin(ji,jj) = zgrv(ji,jj) |
---|
1258 | END DO |
---|
1259 | END DO |
---|
1260 | ENDIF |
---|
1261 | !-------------------------------------------------------------------- |
---|
1262 | ! Complete Init for Direct |
---|
1263 | !------------------------------------------------------------------- |
---|
1264 | CALL istate_p |
---|
1265 | |
---|
1266 | ! *** initialize the reference trajectory |
---|
1267 | ! ------------ |
---|
1268 | CALL trj_rea( nit000-1, 1 ) |
---|
1269 | ! CALL trj_rea( nit000, 1 ) |
---|
1270 | ua(:,:,:) = un(:,:,:) |
---|
1271 | va(:,:,:) = vn(:,:,:) |
---|
1272 | |
---|
1273 | ! Compute rhd, gru and grv |
---|
1274 | CALL eos(tn, sn, rhd, rhop) |
---|
1275 | CALL zps_hde(nit000, tn, sn, rhd, gtu, gsu, gru, gtv, gsv, grv) |
---|
1276 | |
---|
1277 | |
---|
1278 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
1279 | |
---|
1280 | zrd_tlin(:,:,:) = gamma * zrd_tlin(:,:,:) |
---|
1281 | rhd(:,:,:) = rhd(:,:,:) + zrd_tlin(:,:,:) |
---|
1282 | |
---|
1283 | zua_tlin(:,:,:) = gamma * zua_tlin(:,:,:) |
---|
1284 | ua(:,:,:) = ua(:,:,:) + zua_tlin(:,:,:) |
---|
1285 | |
---|
1286 | zva_tlin(:,:,:) = gamma * zva_tlin(:,:,:) |
---|
1287 | va(:,:,:) = va(:,:,:) + zva_tlin(:,:,:) |
---|
1288 | |
---|
1289 | zgru_tlin(:,:) = gamma * zgru_tlin(:,:) |
---|
1290 | gru(:,:) = gru(:,:) + zgru_tlin(:,:) |
---|
1291 | |
---|
1292 | zgrv_tlin(:,:) = gamma * zgrv_tlin(:,:) |
---|
1293 | grv(:,:) = grv(:,:) + zgrv_tlin(:,:) |
---|
1294 | ENDIF |
---|
1295 | !-------------------------------------------------------------------- |
---|
1296 | ! Compute the direct model F(X0,t=n) = Xn |
---|
1297 | !-------------------------------------------------------------------- |
---|
1298 | CALL dyn_hpg(nit000) |
---|
1299 | IF ( cur_loop .EQ. 0) CALL trj_wri_spl(file_wop) |
---|
1300 | !-------------------------------------------------------------------- |
---|
1301 | ! Compute the Tangent |
---|
1302 | !-------------------------------------------------------------------- |
---|
1303 | IF ( cur_loop .NE. 0) THEN |
---|
1304 | !-------------------------------------------------------------------- |
---|
1305 | ! Storing data |
---|
1306 | !-------------------------------------------------------------------- |
---|
1307 | zua_out (:,:,:) = ua (:,:,:) |
---|
1308 | zva_out (:,:,:) = va (:,:,:) |
---|
1309 | |
---|
1310 | !-------------------------------------------------------------------- |
---|
1311 | ! Initialize the tangent variables |
---|
1312 | !-------------------------------------------------------------------- |
---|
1313 | CALL trj_rea( nit000-1, 1 ) |
---|
1314 | ! CALL trj_rea( nit000, 1 ) |
---|
1315 | ua(:,:,:) = un(:,:,:) |
---|
1316 | va(:,:,:) = vn(:,:,:) |
---|
1317 | gru_tl ( :,:) = zgru_tlin (:,: ) |
---|
1318 | grv_tl ( :,:) = zgrv_tlin (:,: ) |
---|
1319 | rhd_tl (:,:,:) = zrd_tlin (:,:,:) |
---|
1320 | ua_tl (:,:,:) = zua_tlin (:,:,:) |
---|
1321 | va_tl (:,:,:) = zva_tlin (:,:,:) |
---|
1322 | CALL dyn_hpg_tan(nit000) |
---|
1323 | !-------------------------------------------------------------------- |
---|
1324 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
---|
1325 | !-------------------------------------------------------------------- |
---|
1326 | |
---|
1327 | zsp2_1 = DOT_PRODUCT( ua_tl, ua_tl ) |
---|
1328 | zsp2_2 = DOT_PRODUCT( va_tl, va_tl ) |
---|
1329 | zsp2 = zsp2_1 + zsp2_2 |
---|
1330 | !-------------------------------------------------------------------- |
---|
1331 | ! Storing data |
---|
1332 | !-------------------------------------------------------------------- |
---|
1333 | CALL trj_rd_spl(file_wop) |
---|
1334 | zua_wop (:,:,:) = ua (:,:,:) |
---|
1335 | zva_wop (:,:,:) = va (:,:,:) |
---|
1336 | !-------------------------------------------------------------------- |
---|
1337 | ! Compute the Linearization Error |
---|
1338 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
---|
1339 | ! and |
---|
1340 | ! Compute the Linearization Error |
---|
1341 | ! En = Nn -TL(gamma.dX0, t0,tn) |
---|
1342 | !-------------------------------------------------------------------- |
---|
1343 | ! Warning: Here we re-use local variables z()_out and z()_wop |
---|
1344 | ii=0 |
---|
1345 | DO jk = 1, jpk |
---|
1346 | DO jj = 1, jpj |
---|
1347 | DO ji = 1, jpi |
---|
1348 | zua_out (ji,jj,jk) = zua_out (ji,jj,jk) - zua_wop (ji,jj,jk) |
---|
1349 | zua_wop (ji,jj,jk) = zua_out (ji,jj,jk) - ua_tl (ji,jj,jk) |
---|
1350 | IF ( ua_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
1351 | & zerrua(ji,jj,jk) = zua_out(ji,jj,jk)/ua_tl(ji,jj,jk) |
---|
1352 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
1353 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
1354 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
1355 | ii = ii+1 |
---|
1356 | iiposua(ii) = ji |
---|
1357 | ijposua(ii) = jj |
---|
1358 | ikposua(ii) = jk |
---|
1359 | IF ( INT(umask(ji,jj,jk)) .NE. 0) THEN |
---|
1360 | zscua (ii) = zua_wop(ji,jj,jk) |
---|
1361 | zscerrua (ii) = ( zerrua(ji,jj,jk) - 1.0_wp ) /gamma |
---|
1362 | ENDIF |
---|
1363 | ENDIF |
---|
1364 | END DO |
---|
1365 | END DO |
---|
1366 | END DO |
---|
1367 | ii=0 |
---|
1368 | DO jk = 1, jpk |
---|
1369 | DO jj = 1, jpj |
---|
1370 | DO ji = 1, jpi |
---|
1371 | zva_out (ji,jj,jk) = zva_out (ji,jj,jk) - zva_wop (ji,jj,jk) |
---|
1372 | zva_wop (ji,jj,jk) = zva_out (ji,jj,jk) - va_tl (ji,jj,jk) |
---|
1373 | IF ( va_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
1374 | & zerrva(ji,jj,jk) = zva_out(ji,jj,jk)/va_tl(ji,jj,jk) |
---|
1375 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
1376 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
1377 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
1378 | ii = ii+1 |
---|
1379 | iiposva(ii) = ji |
---|
1380 | ijposva(ii) = jj |
---|
1381 | ikposva(ii) = jk |
---|
1382 | IF ( INT(vmask(ji,jj,jk)) .NE. 0) THEN |
---|
1383 | zscva (ii) = zua_wop(ji,jj,jk) |
---|
1384 | zscerrva (ii) = ( zerrva(ji,jj,jk) - 1.0_wp ) / gamma |
---|
1385 | ENDIF |
---|
1386 | ENDIF |
---|
1387 | END DO |
---|
1388 | END DO |
---|
1389 | END DO |
---|
1390 | zsp1_1 = DOT_PRODUCT( zua_out, zua_out ) |
---|
1391 | zsp1_2 = DOT_PRODUCT( zva_out, zva_out ) |
---|
1392 | zsp1 = zsp1_1 + zsp1_2 |
---|
1393 | |
---|
1394 | zsp3_1 = DOT_PRODUCT( zua_wop, zua_wop ) |
---|
1395 | zsp3_2 = DOT_PRODUCT( zva_wop, zva_wop ) |
---|
1396 | zsp3 = zsp3_1 + zsp3_2 |
---|
1397 | !-------------------------------------------------------------------- |
---|
1398 | ! Print the linearization error En - norme 2 |
---|
1399 | !-------------------------------------------------------------------- |
---|
1400 | ! 14 char:'12345678901234' |
---|
1401 | cl_name = 'dynhpg_tam:En ' |
---|
1402 | zzsp = dsqrt(zsp3) |
---|
1403 | zzsp_1 = dsqrt(zsp3_1) |
---|
1404 | zzsp_2 = dsqrt(zsp3_2) |
---|
1405 | |
---|
1406 | zgsp5 = zzsp |
---|
1407 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
1408 | !-------------------------------------------------------------------- |
---|
1409 | ! Compute TLM norm2 |
---|
1410 | !-------------------------------------------------------------------- |
---|
1411 | zzsp = SQRT(zsp2) |
---|
1412 | zzsp_1 = SQRT(zsp2_1) |
---|
1413 | zzsp_2 = SQRT(zsp2_2) |
---|
1414 | zgsp4 = zzsp |
---|
1415 | cl_name = 'dynhpg_tam:Ln2' |
---|
1416 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
1417 | !-------------------------------------------------------------------- |
---|
1418 | ! Print the linearization error Nn - norme 2 |
---|
1419 | !-------------------------------------------------------------------- |
---|
1420 | zzsp = SQRT(zsp1) |
---|
1421 | zzsp_1 = SQRT(zsp1_1) |
---|
1422 | zzsp_2 = SQRT(zsp1_2) |
---|
1423 | cl_name = 'dynhpg:Mhdx-Mx' |
---|
1424 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
1425 | zgsp3 = SQRT( zsp3/zsp2 ) |
---|
1426 | zgsp7 = zgsp3/gamma |
---|
1427 | zgsp1 = zzsp |
---|
1428 | zgsp2 = zgsp1 / zgsp4 |
---|
1429 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
---|
1430 | |
---|
1431 | 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)" |
---|
1432 | WRITE(numtan,FMT) 'dynhpg ', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
---|
1433 | !-------------------------------------------------------------------- |
---|
1434 | ! Unitary calculus |
---|
1435 | !-------------------------------------------------------------------- |
---|
1436 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
---|
1437 | cl_name = 'dynhpg ' |
---|
1438 | IF (lwp) THEN |
---|
1439 | DO ii=1, 100, 1 |
---|
1440 | IF ( zscua(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscua ', & |
---|
1441 | & cur_loop, h_ratio, ii, iiposua(ii), ijposua(ii), zscua(ii) |
---|
1442 | ENDDO |
---|
1443 | DO ii=1, 100, 1 |
---|
1444 | IF ( zscva(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscva ', & |
---|
1445 | & cur_loop, h_ratio, ii, iiposva(ii), ijposva(ii), zscva(ii) |
---|
1446 | ENDDO |
---|
1447 | DO ii=1, 100, 1 |
---|
1448 | IF ( zscerrua(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrua ', & |
---|
1449 | & cur_loop, h_ratio, ii, iiposua(ii), ijposua(ii), zscerrua(ii) |
---|
1450 | ENDDO |
---|
1451 | DO ii=1, 100, 1 |
---|
1452 | IF ( zscerrva(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrva ', & |
---|
1453 | & cur_loop, h_ratio, ii, iiposva(ii), ijposva(ii), zscerrva(ii) |
---|
1454 | ENDDO |
---|
1455 | |
---|
1456 | ! write separator |
---|
1457 | WRITE(numtan_sc,"(A4)") '====' |
---|
1458 | ENDIF |
---|
1459 | |
---|
1460 | ENDIF |
---|
1461 | DEALLOCATE( & |
---|
1462 | & zrd_tlin, zgru_tlin, zgrv_tlin, & |
---|
1463 | & zua_tlin, zva_tlin, & |
---|
1464 | & ztn_tlin, zsn_tlin, & |
---|
1465 | & zua_out, zva_out, & |
---|
1466 | & zua_wop, zva_wop, & |
---|
1467 | & zrh, & |
---|
1468 | & zau, & |
---|
1469 | & zav, & |
---|
1470 | & zgru, & |
---|
1471 | & zgrv & |
---|
1472 | & ) |
---|
1473 | END SUBROUTINE dyn_hpg_tlm_tst |
---|
1474 | !!====================================================================== |
---|
1475 | #endif |
---|
1476 | END MODULE dynhpg_tam |
---|