1 | MODULE dynvor_tam |
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2 | #ifdef key_tam |
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3 | !!====================================================================== |
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4 | !! *** MODULE dynvor_tam *** |
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5 | !! Ocean dynamics: Update the momentum trend with the relative and |
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6 | !! planetary vorticity trends |
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7 | !! Tangent and Adjoint Module |
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8 | !!====================================================================== |
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9 | !! History of the drect module: |
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10 | !! 1.0 ! 89-12 (P. Andrich) vor_ens: Original code |
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11 | !! 5.0 ! 91-11 (G. Madec) vor_ene, vor_mix: Original code |
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12 | !! 6.0 ! 96-01 (G. Madec) s-coord, suppress work arrays |
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13 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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14 | !! 8.5 ! 04-02 (G. Madec) vor_een: Original code |
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15 | !! 9.0 ! 03-08 (G. Madec) vor_ctl: Original code |
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16 | !! 9.0 ! 05-11 (G. Madec) dyn_vor: Original code (new step architecture) |
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17 | !! 9.0 ! 06-11 (G. Madec) flux form advection: add metric term |
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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 | !! 9.0 ! 09-01 (A. Vidard) TAM of the 06-11 version |
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21 | !! 9.0 ! 10-01 (F. Vigilant) Add een TAM option |
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22 | !!---------------------------------------------------------------------- |
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23 | |
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24 | !!---------------------------------------------------------------------- |
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25 | !! dyn_vor : Update the momentum trend with the vorticity trend |
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26 | !! vor_ens : enstrophy conserving scheme (ln_dynvor_ens=T) |
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27 | !! vor_ene : energy conserving scheme (ln_dynvor_ene=T) |
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28 | !! vor_mix : mixed enstrophy/energy conserving (ln_dynvor_mix=T) |
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29 | !! vor_een : energy and enstrophy conserving (ln_dynvor_een=T) |
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30 | !! vor_ctl : set and control of the different vorticity option |
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31 | !!---------------------------------------------------------------------- |
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32 | USE par_kind, ONLY: & ! Precision variables |
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33 | & wp |
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34 | USE par_oce, ONLY: & ! Ocean space and time domain variables |
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35 | & jpi, & |
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36 | & jpj, & |
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37 | & jpk, & |
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38 | & jpim1, & |
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39 | & jpjm1, & |
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40 | & jpkm1, & |
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41 | & jpiglo |
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42 | USE oce , ONLY: & ! ocean dynamics and tracers |
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43 | & un, & |
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44 | & vn, & |
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45 | & rotn |
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46 | USE oce_tam , ONLY: & |
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47 | & un_tl, & |
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48 | & vn_tl, & |
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49 | & ua_tl, & |
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50 | & va_tl, & |
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51 | & rotn_tl, & |
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52 | & un_ad, & |
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53 | & vn_ad, & |
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54 | & ua_ad, & |
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55 | & va_ad, & |
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56 | & rotn_ad |
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57 | USE divcur , ONLY: & |
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58 | & div_cur |
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59 | USE divcur_tam , ONLY: & |
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60 | & div_cur_tan |
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61 | USE dom_oce , ONLY: & ! ocean space and time domain |
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62 | & ln_sco, & |
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63 | & ff, & |
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64 | & e1u, & |
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65 | & e2u, & |
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66 | & e1v, & |
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67 | & e2v, & |
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68 | #if defined key_zco |
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69 | & e3t_0, & |
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70 | #else |
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71 | & e3t, & |
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72 | & e3u, & |
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73 | & e3v, & |
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74 | & e3f, & |
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75 | #endif |
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76 | & e1f, & |
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77 | & e2f, & |
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78 | & mig, & |
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79 | & mjg, & |
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80 | & nldi, & |
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81 | & nldj, & |
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82 | & nlei, & |
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83 | & nlej, & |
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84 | & umask, & |
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85 | & vmask, & |
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86 | & tmask |
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87 | USE dynadv , ONLY: & |
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88 | & ln_dynadv_vec ! vector form flag |
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89 | USE lbclnk , ONLY: & ! Lateral boundary conditions |
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90 | & lbc_lnk |
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91 | USE in_out_manager, ONLY: & ! I/O manager |
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92 | & ctl_stop, & |
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93 | & lk_esopa, & |
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94 | & numnam, & |
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95 | & numout, & |
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96 | & nit000, & |
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97 | & nitend, & |
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98 | & lwp |
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99 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
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100 | & grid_random |
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101 | USE dotprodfld, ONLY: & ! Computes dot product for 3D and 2D fields |
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102 | & dot_product |
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103 | USE tstool_tam , ONLY: & |
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104 | & prntst_adj, & ! |
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105 | ! random field standard deviation for: |
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106 | & stdu, & ! u-velocity |
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107 | & stdv ! v-velocity |
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108 | |
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109 | IMPLICIT NONE |
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110 | PRIVATE |
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111 | |
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112 | PUBLIC dyn_vor_tan ! routine called by step_tam.F90 |
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113 | PUBLIC dyn_vor_adj ! routine called by step_tam.F90 |
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114 | PUBLIC dyn_vor_adj_tst ! routine called by the tst.F90 |
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115 | |
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116 | |
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117 | !!* Namelist nam_dynvor: vorticity term |
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118 | LOGICAL, PUBLIC :: ln_dynvor_ene = .FALSE. !: energy conserving scheme |
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119 | LOGICAL, PUBLIC :: ln_dynvor_ens = .TRUE. !: enstrophy conserving scheme |
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120 | LOGICAL, PUBLIC :: ln_dynvor_mix = .FALSE. !: mixed scheme |
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121 | LOGICAL, PUBLIC :: ln_dynvor_een = .FALSE. !: energy and enstrophy conserving scheme |
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122 | |
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123 | INTEGER :: nvor = 0 ! type of vorticity trend used |
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124 | INTEGER :: ncor = 1 ! coriolis |
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125 | INTEGER :: nrvm = 2 ! =2 relative vorticity ; =3 metric term |
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126 | INTEGER :: ntot = 4 ! =4 total vorticity (relative + planetary) ; =5 coriolis + metric term |
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127 | |
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128 | !! * Substitutions |
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129 | # include "domzgr_substitute.h90" |
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130 | # include "vectopt_loop_substitute.h90" |
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131 | |
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132 | CONTAINS |
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133 | |
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134 | SUBROUTINE dyn_vor_tan( kt ) |
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135 | !!---------------------------------------------------------------------- |
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136 | !! |
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137 | !! ** Purpose of the direct routine: |
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138 | !! compute the lateral ocean tracer physics. |
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139 | !! |
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140 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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141 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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142 | !! and planetary vorticity trends) ('key_trddyn') |
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143 | !!---------------------------------------------------------------------- |
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144 | !! |
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145 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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146 | !!---------------------------------------------------------------------- |
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147 | IF( kt == nit000 ) CALL vor_ctl_tam ! initialisation & control of options |
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148 | |
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149 | ! ! vorticity term |
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150 | SELECT CASE ( nvor ) ! compute the vorticity trend and add it to the general trend |
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151 | ! |
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152 | CASE ( -1 ) ! esopa: test all possibility with control print |
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153 | CALL vor_ene_tan( kt, ntot, ua_tl, va_tl ) |
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154 | CALL vor_ens_tan( kt, ntot, ua_tl, va_tl ) |
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155 | ! CALL vor_mix_tan( kt ) |
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156 | CALL vor_een_tan( kt, ntot, ua_tl, va_tl ) |
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157 | ! |
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158 | CASE ( 0 ) ! energy conserving scheme |
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159 | CALL vor_ene_tan( kt, ntot, ua_tl, va_tl ) ! total vorticity |
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160 | ! |
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161 | CASE ( 1 ) ! enstrophy conserving scheme |
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162 | CALL vor_ens_tan( kt, ntot, ua_tl, va_tl ) ! total vorticity |
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163 | ! |
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164 | CASE ( 2 ) ! mixed ene-ens scheme |
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165 | CALL ctl_stop ('vor_mix_tan not available yet') |
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166 | ! CALL vor_mix_tan( kt ) ! total vorticity (mix=ens-ene) |
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167 | ! |
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168 | CASE ( 3 ) ! energy and enstrophy conserving scheme |
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169 | CALL vor_een_tan( kt, ntot, ua_tl, va_tl ) ! total vorticity |
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170 | ! |
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171 | END SELECT |
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172 | |
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173 | END SUBROUTINE dyn_vor_tan |
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174 | SUBROUTINE vor_ene_tan( kt, kvor, pua_tl, pva_tl ) |
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175 | !!---------------------------------------------------------------------- |
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176 | !! *** ROUTINE vor_ene *** |
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177 | !! |
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178 | !! ** Purpose : Compute the now total vorticity trend and add it to |
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179 | !! the general trend of the momentum equation. |
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180 | !! |
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181 | !! ** Method : Trend evaluated using now fields (centered in time) |
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182 | !! and the Sadourny (1975) flux form formulation : conserves the |
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183 | !! horizontal kinetic energy. |
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184 | !! The trend of the vorticity term is given by: |
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185 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
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186 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f mi(e1v*e3v vn) ] |
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187 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f mj(e2u*e3u un) ] |
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188 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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189 | !! voru = 1/e1u mj-1[ (rotn+f) mi(e1v vn) ] |
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190 | !! vorv = 1/e2v mi-1[ (rotn+f) mj(e2u un) ] |
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191 | !! Add this trend to the general momentum trend (ua,va): |
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192 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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193 | !! |
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194 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
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195 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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196 | !! and planetary vorticity trends) ('key_trddyn') |
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197 | !! |
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198 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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199 | !!---------------------------------------------------------------------- |
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200 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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201 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
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202 | ! ! =nrvm (relative vorticity or metric) |
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203 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua_tl ! total u-trend |
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204 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva_tl ! total v-trend |
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205 | !! |
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206 | INTEGER :: ji, jj, jk ! dummy loop indices |
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207 | REAL(wp) :: zx1, zy1, zfact2 ! temporary scalars |
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208 | REAL(wp) :: zx2, zy2 ! " " |
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209 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz ! temporary 2D workspace |
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210 | REAL(wp) :: zx1tl, zy1tl ! temporary scalars |
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211 | REAL(wp) :: zx2tl, zy2tl ! " " |
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212 | REAL(wp), DIMENSION(jpi,jpj) :: zwxtl, zwytl, zwztl ! temporary 2D workspace |
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213 | !!---------------------------------------------------------------------- |
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214 | |
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215 | IF( kt == nit000 ) THEN |
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216 | IF(lwp) WRITE(numout,*) |
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217 | IF(lwp) WRITE(numout,*) 'dyn:vor_ene : vorticity term: energy conserving scheme' |
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218 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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219 | ENDIF |
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220 | |
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221 | ! Local constant initialization |
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222 | zfact2 = 0.5 * 0.5 |
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223 | |
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224 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
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225 | ! ! =============== |
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226 | DO jk = 1, jpkm1 ! Horizontal slab |
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227 | ! ! =============== |
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228 | ! Potential vorticity and horizontal fluxes |
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229 | ! ----------------------------------------- |
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230 | SELECT CASE( kvor ) ! vorticity considered |
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231 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
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232 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
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233 | CASE ( 3 ) ! metric term |
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234 | DO jj = 1, jpjm1 |
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235 | DO ji = 1, fs_jpim1 ! vector opt. |
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236 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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237 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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238 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
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239 | END DO |
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240 | END DO |
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241 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total (relative + planetary vorticity) |
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242 | CASE ( 5 ) ! total (coriolis + metric) |
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243 | DO jj = 1, jpjm1 |
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244 | DO ji = 1, fs_jpim1 ! vector opt. |
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245 | zwz(ji,jj) = ( ff (ji,jj) & |
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246 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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247 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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248 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
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249 | & ) |
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250 | END DO |
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251 | END DO |
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252 | END SELECT |
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253 | IF( ln_sco ) THEN |
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254 | zwz(:,:) = zwz(:,:) / fse3f(:,:,jk) |
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255 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
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256 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
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257 | ELSE |
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258 | zwx(:,:) = e2u(:,:) * un(:,:,jk) |
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259 | zwy(:,:) = e1v(:,:) * vn(:,:,jk) |
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260 | ENDIF |
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261 | |
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262 | |
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263 | ! Tangent counterpart |
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264 | SELECT CASE( kvor ) ! vorticity considered |
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265 | CASE ( 1 ) ; zwztl(:,:) = 0. ! planetary vorticity (Coriolis) |
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266 | CASE ( 2 ) ; zwztl(:,:) = rotn_tl(:,:,jk) ! relative vorticity |
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267 | CASE ( 3 ) ! metric term |
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268 | DO jj = 1, jpjm1 |
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269 | DO ji = 1, fs_jpim1 ! vector opt. |
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270 | zwztl(ji,jj) = ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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271 | & - ( un_tl(ji ,jj+1,jk) + un_tl (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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272 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
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273 | END DO |
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274 | END DO |
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275 | CASE ( 4 ) ; zwztl(:,:) = rotn_tl(:,:,jk) ! total (relative + planetary vorticity) |
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276 | CASE ( 5 ) ! total (coriolis + metric) |
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277 | DO jj = 1, jpjm1 |
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278 | DO ji = 1, fs_jpim1 ! vector opt. |
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279 | zwztl(ji,jj) = ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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280 | & - ( un_tl(ji ,jj+1,jk) + un_tl(ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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281 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
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282 | |
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283 | END DO |
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284 | END DO |
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285 | END SELECT |
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286 | |
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287 | IF( ln_sco ) THEN |
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288 | zwztl(:,:) = zwztl(:,:) / fse3f(:,:,jk) |
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289 | zwxtl(:,:) = e2u(:,:) * fse3u(:,:,jk) * un_tl(:,:,jk) |
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290 | zwytl(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn_tl(:,:,jk) |
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291 | ELSE |
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292 | zwxtl(:,:) = e2u(:,:) * un_tl(:,:,jk) |
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293 | zwytl(:,:) = e1v(:,:) * vn_tl(:,:,jk) |
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294 | ENDIF |
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295 | |
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296 | ! Compute and add the vorticity term trend |
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297 | ! ---------------------------------------- |
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298 | DO jj = 2, jpjm1 |
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299 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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300 | zy1 = zwy(ji,jj-1) + zwy(ji+1,jj-1) |
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301 | zy2 = zwy(ji,jj ) + zwy(ji+1,jj ) |
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302 | zx1 = zwx(ji-1,jj) + zwx(ji-1,jj+1) |
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303 | zx2 = zwx(ji ,jj) + zwx(ji ,jj+1) |
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304 | zy1tl = zwytl(ji,jj-1) + zwytl(ji+1,jj-1) |
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305 | zy2tl = zwytl(ji,jj ) + zwytl(ji+1,jj ) |
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306 | zx1tl = zwxtl(ji-1,jj) + zwxtl(ji-1,jj+1) |
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307 | zx2tl = zwxtl(ji ,jj) + zwxtl(ji ,jj+1) |
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308 | pua_tl(ji,jj,jk) = pua_tl(ji,jj,jk) + zfact2 / e1u(ji,jj) * ( zwztl(ji ,jj-1) * zy1 + zwz(ji ,jj-1) * zy1tl + zwztl(ji,jj) * zy2 + zwz(ji,jj) * zy2tl ) |
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309 | pva_tl(ji,jj,jk) = pva_tl(ji,jj,jk) - zfact2 / e2v(ji,jj) * ( zwztl(ji-1,jj ) * zx1 + zwz(ji-1,jj ) * zx1tl + zwztl(ji,jj) * zx2 + zwz(ji,jj) * zx2tl ) |
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310 | END DO |
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311 | END DO |
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312 | ! ! =============== |
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313 | END DO ! End of slab |
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314 | ! ! =============== |
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315 | END SUBROUTINE vor_ene_tan |
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316 | SUBROUTINE vor_ens_tan( kt, kvor, pua_tl, pva_tl ) |
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317 | !!---------------------------------------------------------------------- |
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318 | !! *** ROUTINE vor_ens_tan *** |
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319 | !! |
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320 | !! ** Purpose of the direct routine: |
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321 | !! Compute the now total vorticity trend and add it to |
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322 | !! the general trend of the momentum equation. |
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323 | !! |
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324 | !! ** Method of the direct routine: |
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325 | !! Trend evaluated using now fields (centered in time) |
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326 | !! and the Sadourny (1975) flux FORM formulation : conserves the |
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327 | !! potential enstrophy of a horizontally non-divergent flow. the |
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328 | !! trend of the vorticity term is given by: |
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329 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivative: |
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330 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f ] mj-1[ mi(e1v*e3v vn) ] |
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331 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f ] mi-1[ mj(e2u*e3u un) ] |
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332 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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333 | !! voru = 1/e1u mj-1[ rotn+f ] mj-1[ mi(e1v vn) ] |
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334 | !! vorv = 1/e2v mi-1[ rotn+f ] mi-1[ mj(e2u un) ] |
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335 | !! Add this trend to the general momentum trend (ua,va): |
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336 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
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337 | !! |
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338 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
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339 | !! - Save the trends in (ztrdu,ztrdv) in 2 parts (relative |
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340 | !! and planetary vorticity trends) ('key_trddyn') |
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341 | !! |
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342 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
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343 | !!---------------------------------------------------------------------- |
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344 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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345 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
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346 | ! ! =nrvm (relative vorticity or metric) |
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347 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua_tl ! total u-trend |
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348 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva_tl ! total v-trend |
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349 | !! |
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350 | INTEGER :: ji, jj, jk ! dummy loop indices |
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351 | REAL(wp) :: zfact1, zuav, zvau ! temporary scalars |
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352 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz ! temporary 3D workspace |
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353 | REAL(wp) :: zuavtl, zvautl ! temporary scalars |
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354 | REAL(wp), DIMENSION(jpi,jpj) :: zwxtl, zwytl, zwztl ! temporary 3D workspace |
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355 | !!---------------------------------------------------------------------- |
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356 | |
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357 | IF( kt == nit000 ) THEN |
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358 | IF(lwp) WRITE(numout,*) |
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359 | IF(lwp) WRITE(numout,*) 'dyn_vor_ens_tan : vorticity term: enstrophy conserving scheme' |
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360 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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361 | ENDIF |
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362 | |
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363 | ! Local constant initialization |
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364 | zfact1 = 0.5 * 0.25 |
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365 | |
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366 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
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367 | ! ! =============== |
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368 | DO jk = 1, jpkm1 ! Horizontal slab |
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369 | ! ! =============== |
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370 | ! Potential vorticity and horizontal fluxes |
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371 | ! ----------------------------------------- |
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372 | SELECT CASE( kvor ) ! vorticity considered |
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373 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
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374 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
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375 | CASE ( 3 ) ! metric term |
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376 | DO jj = 1, jpjm1 |
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377 | DO ji = 1, fs_jpim1 ! vector opt. |
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378 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
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379 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
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380 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
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381 | END DO |
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382 | END DO |
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383 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total (relative + planetary vorticity) |
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384 | CASE ( 5 ) ! total (coriolis + metric) |
---|
385 | DO jj = 1, jpjm1 |
---|
386 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
387 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
388 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
389 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
390 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
391 | & ) |
---|
392 | END DO |
---|
393 | END DO |
---|
394 | END SELECT |
---|
395 | |
---|
396 | IF( ln_sco ) THEN |
---|
397 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
398 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
399 | zwz(ji,jj) = zwz(ji,jj) / fse3f(ji,jj,jk) |
---|
400 | zwx(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) * un(ji,jj,jk) |
---|
401 | zwy(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) * vn(ji,jj,jk) |
---|
402 | END DO |
---|
403 | END DO |
---|
404 | ELSE |
---|
405 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
406 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
407 | zwx(ji,jj) = e2u(ji,jj) * un(ji,jj,jk) |
---|
408 | zwy(ji,jj) = e1v(ji,jj) * vn(ji,jj,jk) |
---|
409 | END DO |
---|
410 | END DO |
---|
411 | ENDIF |
---|
412 | |
---|
413 | ! Compute and add the vorticity term trend |
---|
414 | ! ---------------------------------------- |
---|
415 | DO jj = 2, jpjm1 |
---|
416 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
417 | zuav = zfact1 / e1u(ji,jj) * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
418 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) |
---|
419 | zvau =-zfact1 / e2v(ji,jj) * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
420 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) |
---|
421 | END DO |
---|
422 | END DO |
---|
423 | ! ! =============== |
---|
424 | END DO ! End of slab |
---|
425 | ! ! =============== |
---|
426 | |
---|
427 | !CDIR PARALLEL DO PRIVATE( zwxtl, zwytl, zwztl ) |
---|
428 | ! =================== |
---|
429 | ! Tangent counterpart |
---|
430 | ! =================== |
---|
431 | ! ! =============== |
---|
432 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
433 | ! ! =============== |
---|
434 | ! Potential vorticity and horizontal fluxes |
---|
435 | ! ----------------------------------------- |
---|
436 | SELECT CASE( kvor ) ! vorticity considered |
---|
437 | CASE ( 1 ) ; zwztl(:,:) = 0.0_wp ! planetary vorticity (Coriolis) |
---|
438 | CASE ( 2 ,4) ; zwztl(:,:) = rotn_tl(:,:,jk) ! relative vorticity |
---|
439 | CASE ( 3 ,5 ) ! metric term |
---|
440 | DO jj = 1, jpjm1 |
---|
441 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
442 | zwztl(ji,jj) = ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
443 | & - ( un_tl(ji ,jj+1,jk) + un_tl (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
444 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
445 | END DO |
---|
446 | END DO |
---|
447 | END SELECT |
---|
448 | |
---|
449 | IF( ln_sco ) THEN |
---|
450 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
451 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
452 | zwztl(ji,jj) = zwztl(ji,jj) / fse3f(ji,jj,jk) |
---|
453 | zwxtl(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) * un_tl(ji,jj,jk) |
---|
454 | zwytl(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) * vn_tl(ji,jj,jk) |
---|
455 | END DO |
---|
456 | END DO |
---|
457 | ELSE |
---|
458 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
459 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
460 | zwxtl(ji,jj) = e2u(ji,jj) * un_tl(ji,jj,jk) |
---|
461 | zwytl(ji,jj) = e1v(ji,jj) * vn_tl(ji,jj,jk) |
---|
462 | END DO |
---|
463 | END DO |
---|
464 | ENDIF |
---|
465 | |
---|
466 | ! Compute and add the vorticity term trend |
---|
467 | ! ---------------------------------------- |
---|
468 | DO jj = 2, jpjm1 |
---|
469 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
470 | zuavtl = zfact1 / e1u(ji,jj) * ( zwytl(ji ,jj-1) + zwytl(ji+1,jj-1) & |
---|
471 | & + zwytl(ji ,jj ) + zwytl(ji+1,jj ) ) |
---|
472 | zvautl =-zfact1 / e2v(ji,jj) * ( zwxtl(ji-1,jj ) + zwxtl(ji-1,jj+1) & |
---|
473 | & + zwxtl(ji ,jj ) + zwxtl(ji ,jj+1) ) |
---|
474 | pua_tl(ji,jj,jk) = pua_tl(ji,jj,jk) & |
---|
475 | & + zuavtl * ( zwz( ji,jj-1) + zwz( ji,jj) ) & |
---|
476 | & + zuav * ( zwztl(ji,jj-1) + zwztl(ji,jj) ) |
---|
477 | pva_tl(ji,jj,jk) = pva_tl(ji,jj,jk) & |
---|
478 | & + zvautl * ( zwz( ji-1,jj) + zwz( ji,jj) ) & |
---|
479 | & + zvau * ( zwztl(ji-1,jj) + zwztl(ji,jj) ) |
---|
480 | END DO |
---|
481 | END DO |
---|
482 | ! ! =============== |
---|
483 | END DO ! End of slab |
---|
484 | ! ! =============== |
---|
485 | END SUBROUTINE vor_ens_tan |
---|
486 | |
---|
487 | SUBROUTINE vor_een_tan( kt, kvor, pua_tl, pva_tl ) |
---|
488 | !!---------------------------------------------------------------------- |
---|
489 | !! *** ROUTINE vor_een_tan *** |
---|
490 | !! |
---|
491 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
492 | !! the general trend of the momentum equation. |
---|
493 | !! |
---|
494 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
495 | !! and the Arakawa and Lamb (19XX) flux form formulation : conserves |
---|
496 | !! both the horizontal kinetic energy and the potential enstrophy |
---|
497 | !! when horizontal divergence is zero. |
---|
498 | !! The trend of the vorticity term is given by: |
---|
499 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
---|
500 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
---|
501 | !! Add this trend to the general momentum trend (ua,va): |
---|
502 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
503 | !! |
---|
504 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
505 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
506 | !! and planetary vorticity trends) ('key_trddyn') |
---|
507 | !! |
---|
508 | !! References : Arakawa and Lamb 1980, Mon. Wea. Rev., 109, 18-36 |
---|
509 | !!---------------------------------------------------------------------- |
---|
510 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
511 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
512 | ! ! =nrvm (relative vorticity or metric) |
---|
513 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua_tl ! total u-trend |
---|
514 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva_tl ! total v-trend |
---|
515 | !! |
---|
516 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
517 | REAL(wp) :: zfac12, zua, zva ! temporary scalars |
---|
518 | REAL(wp) :: zuatl, zvatl ! temporary scalars |
---|
519 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz ! temporary 2D workspace |
---|
520 | REAL(wp), DIMENSION(jpi,jpj) :: ztnw, ztne, ztsw, ztse ! temporary 3D workspace |
---|
521 | REAL(wp), DIMENSION(jpi,jpj) :: zwxtl, zwytl, zwztl ! temporary 2D workspace |
---|
522 | REAL(wp), DIMENSION(jpi,jpj) :: ztnwtl, ztnetl, ztswtl, ztsetl ! temporary 3D workspace |
---|
523 | REAL(wp), DIMENSION(jpi,jpj,jpk), SAVE :: ze3f |
---|
524 | !!---------------------------------------------------------------------- |
---|
525 | |
---|
526 | IF( kt == nit000 ) THEN |
---|
527 | IF(lwp) WRITE(numout,*) |
---|
528 | IF(lwp) WRITE(numout,*) 'dyn:vor_een_tam : vorticity term: energy and enstrophy conserving scheme' |
---|
529 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
530 | |
---|
531 | DO jk = 1, jpk |
---|
532 | DO jj = 1, jpjm1 |
---|
533 | DO ji = 1, jpim1 |
---|
534 | ze3f(ji,jj,jk) = ( fse3t(ji,jj+1,jk)*tmask(ji,jj+1,jk) + fse3t(ji+1,jj+1,jk)*tmask(ji+1,jj+1,jk) & |
---|
535 | & + fse3t(ji,jj ,jk)*tmask(ji,jj ,jk) + fse3t(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) * 0.25_wp |
---|
536 | IF( ze3f(ji,jj,jk) /= 0.0_wp ) ze3f(ji,jj,jk) = 1.0_wp / ze3f(ji,jj,jk) |
---|
537 | END DO |
---|
538 | END DO |
---|
539 | END DO |
---|
540 | CALL lbc_lnk( ze3f, 'F', 1._wp ) |
---|
541 | ENDIF |
---|
542 | |
---|
543 | ! Local constant initialization |
---|
544 | zfac12 = 1.0_wp / 12.0_wp |
---|
545 | |
---|
546 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, ztnw, ztne, ztsw, ztse ) |
---|
547 | ! ! =============== |
---|
548 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
549 | ! ! =============== |
---|
550 | |
---|
551 | ! Potential vorticity and horizontal fluxes |
---|
552 | ! ----------------------------------------- |
---|
553 | SELECT CASE( kvor ) ! vorticity considered |
---|
554 | CASE ( 1 ) |
---|
555 | zwz(:,:) = ff(:,:) * ze3f(:,:,jk) ! planetary vorticity (Coriolis) |
---|
556 | zwztl(:,:) = 0.0_wp |
---|
557 | CASE ( 2 ) |
---|
558 | zwz(:,:) = rotn(:,:,jk) * ze3f(:,:,jk) ! relative vorticity |
---|
559 | zwztl(:,:) = rotn_tl(:,:,jk) * ze3f(:,:,jk) |
---|
560 | CASE ( 3 ) ! metric term |
---|
561 | DO jj = 1, jpjm1 |
---|
562 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
563 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
564 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
565 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f(ji,jj,jk) |
---|
566 | END DO |
---|
567 | END DO |
---|
568 | DO jj = 1, jpjm1 |
---|
569 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
570 | zwztl(ji,jj) = ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
571 | & - ( un_tl(ji ,jj+1,jk) + un_tl (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
572 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f(ji,jj,jk) |
---|
573 | END DO |
---|
574 | END DO |
---|
575 | CASE ( 4 ) |
---|
576 | zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) * ze3f(:,:,jk) ! total (relative + planetary vorticity) |
---|
577 | zwztl(:,:) = ( rotn_tl(:,:,jk) ) * ze3f(:,:,jk) |
---|
578 | CASE ( 5 ) ! total (coriolis + metric) |
---|
579 | DO jj = 1, jpjm1 |
---|
580 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
581 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
582 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
583 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
584 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
585 | & ) * ze3f(ji,jj,jk) |
---|
586 | END DO |
---|
587 | END DO |
---|
588 | DO jj = 1, jpjm1 |
---|
589 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
590 | zwztl(ji,jj) = ( ( ( vn_tl(ji+1,jj ,jk) + vn_tl (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
591 | & - ( un_tl(ji ,jj+1,jk) + un_tl (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
592 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
593 | & ) * ze3f(ji,jj,jk) |
---|
594 | END DO |
---|
595 | END DO |
---|
596 | END SELECT |
---|
597 | |
---|
598 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
---|
599 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
---|
600 | |
---|
601 | zwxtl(:,:) = e2u(:,:) * fse3u(:,:,jk) * un_tl(:,:,jk) |
---|
602 | zwytl(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn_tl(:,:,jk) |
---|
603 | |
---|
604 | ! Compute and add the vorticity term trend |
---|
605 | ! ---------------------------------------- |
---|
606 | jj=2 |
---|
607 | ztne(1,:) = 0.0_wp ; ztnw(1,:) = 0.0_wp ; ztse(1,:) = 0.0_wp ; ztsw(1,:) = 0.0_wp |
---|
608 | ztnetl(1,:) = 0.0_wp ; ztnwtl(1,:) = 0.0_wp ; ztsetl(1,:) = 0.0_wp ; ztswtl(1,:) = 0.0_wp |
---|
609 | DO ji = 2, jpi |
---|
610 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
611 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
612 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
613 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
614 | |
---|
615 | ztnetl(ji,jj) = zwztl(ji-1,jj ) + zwztl(ji ,jj ) + zwztl(ji ,jj-1) |
---|
616 | ztnwtl(ji,jj) = zwztl(ji-1,jj-1) + zwztl(ji-1,jj ) + zwztl(ji ,jj ) |
---|
617 | ztsetl(ji,jj) = zwztl(ji ,jj ) + zwztl(ji ,jj-1) + zwztl(ji-1,jj-1) |
---|
618 | ztswtl(ji,jj) = zwztl(ji ,jj-1) + zwztl(ji-1,jj-1) + zwztl(ji-1,jj ) |
---|
619 | END DO |
---|
620 | DO jj = 3, jpj |
---|
621 | DO ji = fs_2, jpi ! vector opt. |
---|
622 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
623 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
624 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
625 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
626 | |
---|
627 | ztnetl(ji,jj) = zwztl(ji-1,jj ) + zwztl(ji ,jj ) + zwztl(ji ,jj-1) |
---|
628 | ztnwtl(ji,jj) = zwztl(ji-1,jj-1) + zwztl(ji-1,jj ) + zwztl(ji ,jj ) |
---|
629 | ztsetl(ji,jj) = zwztl(ji ,jj ) + zwztl(ji ,jj-1) + zwztl(ji-1,jj-1) |
---|
630 | ztswtl(ji,jj) = zwztl(ji ,jj-1) + zwztl(ji-1,jj-1) + zwztl(ji-1,jj ) |
---|
631 | END DO |
---|
632 | END DO |
---|
633 | DO jj = 2, jpjm1 |
---|
634 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
635 | zuatl = + zfac12 / e1u(ji,jj) * ( ztnetl(ji,jj ) * zwy(ji ,jj ) + ztne(ji,jj ) * zwytl(ji ,jj ) & |
---|
636 | & + ztnwtl(ji+1,jj) * zwy(ji+1,jj ) + ztnw(ji+1,jj) * zwytl(ji+1,jj ) & |
---|
637 | & + ztsetl(ji,jj ) * zwy(ji ,jj-1) + ztse(ji,jj ) * zwytl(ji ,jj-1) & |
---|
638 | & + ztswtl(ji+1,jj) * zwy(ji+1,jj-1) + ztsw(ji+1,jj) * zwytl(ji+1,jj-1)) |
---|
639 | |
---|
640 | zvatl = - zfac12 / e2v(ji,jj) * ( ztswtl(ji,jj+1) * zwx(ji-1,jj+1) + ztsw(ji,jj+1) * zwxtl(ji-1,jj+1) & |
---|
641 | & + ztsetl(ji,jj+1) * zwx(ji ,jj+1) + ztse(ji,jj+1) * zwxtl(ji ,jj+1) & |
---|
642 | & + ztnwtl(ji,jj ) * zwx(ji-1,jj ) + ztnw(ji,jj ) * zwxtl(ji-1,jj ) & |
---|
643 | & + ztnetl(ji,jj ) * zwx(ji ,jj ) + ztne(ji,jj ) * zwxtl(ji ,jj ) ) |
---|
644 | pua_tl(ji,jj,jk) = pua_tl(ji,jj,jk) + zuatl |
---|
645 | pva_tl(ji,jj,jk) = pva_tl(ji,jj,jk) + zvatl |
---|
646 | END DO |
---|
647 | END DO |
---|
648 | ! ! =============== |
---|
649 | END DO ! End of slab |
---|
650 | ! ! =============== |
---|
651 | END SUBROUTINE vor_een_tan |
---|
652 | |
---|
653 | |
---|
654 | SUBROUTINE dyn_vor_adj( kt ) |
---|
655 | !!---------------------------------------------------------------------- |
---|
656 | !! |
---|
657 | !! ** Purpose of the direct routine: |
---|
658 | !! compute the lateral ocean tracer physics. |
---|
659 | !! |
---|
660 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
661 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
662 | !! and planetary vorticity trends) ('key_trddyn') |
---|
663 | !!---------------------------------------------------------------------- |
---|
664 | !! |
---|
665 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
---|
666 | !!---------------------------------------------------------------------- |
---|
667 | |
---|
668 | IF( kt == nitend ) CALL vor_ctl_tam ! initialisation & control of options |
---|
669 | |
---|
670 | ! ! vorticity term |
---|
671 | SELECT CASE ( nvor ) ! compute the vorticity trend and add it to the general trend |
---|
672 | ! |
---|
673 | CASE ( -1 ) ! esopa: test all possibility with control print |
---|
674 | CALL vor_een_adj( kt, ntot, ua_ad, va_ad ) |
---|
675 | ! CALL vor_mix_adj( kt ) |
---|
676 | CALL vor_ens_adj( kt, ntot, ua_ad, va_ad ) |
---|
677 | ! CALL vor_ene_adj( kt, ntot, ua_ad, va_ad ) |
---|
678 | ! |
---|
679 | CASE ( 0 ) ! energy conserving scheme |
---|
680 | CALL ctl_stop ('vor_ene_adj not available yet') |
---|
681 | ! CALL vor_ene_adj( kt, ntot, ua_ad, va_ad ) ! total vorticity |
---|
682 | ! |
---|
683 | CASE ( 1 ) ! enstrophy conserving scheme |
---|
684 | CALL vor_ens_adj( kt, ntot, ua_ad, va_ad ) ! total vorticity |
---|
685 | ! |
---|
686 | CASE ( 2 ) ! mixed ene-ens scheme |
---|
687 | CALL ctl_stop ('vor_mix_adj not available yet') |
---|
688 | ! CALL vor_mix_adj( kt ) ! total vorticity (mix=ens-ene) |
---|
689 | ! |
---|
690 | CASE ( 3 ) ! energy and enstrophy conserving scheme |
---|
691 | CALL vor_een_adj( kt, ntot, ua_ad, va_ad ) ! total vorticity |
---|
692 | ! |
---|
693 | END SELECT |
---|
694 | END SUBROUTINE dyn_vor_adj |
---|
695 | SUBROUTINE vor_ens_adj( kt, kvor, pua_ad, pva_ad ) |
---|
696 | !!---------------------------------------------------------------------- |
---|
697 | !! *** ROUTINE vor_ens_adj *** |
---|
698 | !! |
---|
699 | !! ** Purpose of the direct routine: |
---|
700 | !! Compute the now total vorticity trend and add it to |
---|
701 | !! the general trend of the momentum equation. |
---|
702 | !! |
---|
703 | !! ** Method of the direct routine: |
---|
704 | !! Trend evaluated using now fields (centered in time) |
---|
705 | !! and the Sadourny (1975) flux FORM formulation : conserves the |
---|
706 | !! potential enstrophy of a horizontally non-divergent flow. the |
---|
707 | !! trend of the vorticity term is given by: |
---|
708 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivative: |
---|
709 | !! voru = 1/e1u mj-1[ (rotn+f)/e3f ] mj-1[ mi(e1v*e3v vn) ] |
---|
710 | !! vorv = 1/e2v mi-1[ (rotn+f)/e3f ] mi-1[ mj(e2u*e3u un) ] |
---|
711 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
---|
712 | !! voru = 1/e1u mj-1[ rotn+f ] mj-1[ mi(e1v vn) ] |
---|
713 | !! vorv = 1/e2v mi-1[ rotn+f ] mi-1[ mj(e2u un) ] |
---|
714 | !! Add this trend to the general momentum trend (ua,va): |
---|
715 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
716 | !! |
---|
717 | !! ** Action : - Update (ua,va) arrays with the now vorticity term trend |
---|
718 | !! - Save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
719 | !! and planetary vorticity trends) ('key_trddyn') |
---|
720 | !! |
---|
721 | !! References : Sadourny, r., 1975, j. atmos. sciences, 32, 680-689. |
---|
722 | !!---------------------------------------------------------------------- |
---|
723 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
724 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
725 | ! ! =nrvm (relative vorticity or metric) |
---|
726 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua_ad ! total u-trend |
---|
727 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva_ad ! total v-trend |
---|
728 | !! |
---|
729 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
730 | REAL(wp) :: zfact1 ! temporary scalars |
---|
731 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz ! temporary 3D workspace |
---|
732 | REAL(wp) :: zuav, zvau ! temporary scalars |
---|
733 | REAL(wp) :: zuavad, zvauad ! temporary scalars |
---|
734 | REAL(wp), DIMENSION(jpi,jpj) :: zwxad, zwyad, zwzad ! temporary 3D workspace |
---|
735 | !!---------------------------------------------------------------------- |
---|
736 | |
---|
737 | IF( kt == nitend ) THEN |
---|
738 | IF(lwp) WRITE(numout,*) |
---|
739 | IF(lwp) WRITE(numout,*) 'dyn_vor_ens_adj : vorticity term: enstrophy conserving scheme' |
---|
740 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
---|
741 | ENDIF |
---|
742 | |
---|
743 | ! Local constant initialization |
---|
744 | zfact1 = 0.5 * 0.25 |
---|
745 | |
---|
746 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz ) |
---|
747 | ! ! =============== |
---|
748 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
749 | ! ! =============== |
---|
750 | ! Potential vorticity and horizontal fluxes |
---|
751 | ! ----------------------------------------- |
---|
752 | SELECT CASE( kvor ) ! vorticity considered |
---|
753 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) ! planetary vorticity (Coriolis) |
---|
754 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) ! relative vorticity |
---|
755 | CASE ( 3 ) ! metric term |
---|
756 | DO jj = 1, jpjm1 |
---|
757 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
758 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
759 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) )& |
---|
760 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
761 | END DO |
---|
762 | END DO |
---|
763 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) ! total (relative + planetary vorticity) |
---|
764 | CASE ( 5 ) ! total (coriolis + metric) |
---|
765 | DO jj = 1, jpjm1 |
---|
766 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
767 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
768 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
769 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
770 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
771 | & ) |
---|
772 | END DO |
---|
773 | END DO |
---|
774 | END SELECT |
---|
775 | |
---|
776 | IF( ln_sco ) THEN |
---|
777 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
778 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
779 | zwz(ji,jj) = zwz(ji,jj) / fse3f(ji,jj,jk) |
---|
780 | zwx(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) * un(ji,jj,jk) |
---|
781 | zwy(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) * vn(ji,jj,jk) |
---|
782 | END DO |
---|
783 | END DO |
---|
784 | ELSE |
---|
785 | DO jj = 1, jpj ! caution: don't use (:,:) for this loop |
---|
786 | DO ji = 1, jpi ! it causes optimization problems on NEC in auto-tasking |
---|
787 | zwx(ji,jj) = e2u(ji,jj) * un(ji,jj,jk) |
---|
788 | zwy(ji,jj) = e1v(ji,jj) * vn(ji,jj,jk) |
---|
789 | END DO |
---|
790 | END DO |
---|
791 | ENDIF |
---|
792 | |
---|
793 | ! Compute and add the vorticity term trend |
---|
794 | ! ---------------------------------------- |
---|
795 | DO jj = 2, jpjm1 |
---|
796 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
797 | zuav = zfact1 / e1u(ji,jj) * ( zwy(ji ,jj-1) + zwy(ji+1,jj-1) & |
---|
798 | & + zwy(ji ,jj ) + zwy(ji+1,jj ) ) |
---|
799 | zvau =-zfact1 / e2v(ji,jj) * ( zwx(ji-1,jj ) + zwx(ji-1,jj+1) & |
---|
800 | & + zwx(ji ,jj ) + zwx(ji ,jj+1) ) |
---|
801 | END DO |
---|
802 | END DO |
---|
803 | ! ! =============== |
---|
804 | END DO ! End of slab |
---|
805 | ! ! =============== |
---|
806 | !CDIR PARALLEL DO PRIVATE( zwxad, zwyad, zwzad ) |
---|
807 | ! =================== |
---|
808 | ! Adjoint counterpart |
---|
809 | ! =================== |
---|
810 | zuavad = 0.0_wp |
---|
811 | zvauad = 0.0_wp |
---|
812 | zwxad(:,:) = 0.0_wp |
---|
813 | zwyad(:,:) = 0.0_wp |
---|
814 | zwzad(:,:) = 0.0_wp |
---|
815 | ! ! =============== |
---|
816 | DO jk = jpkm1, 1, -1 ! Horizontal slab |
---|
817 | ! ! =============== |
---|
818 | ! Compute and add the vorticity term trend |
---|
819 | ! ---------------------------------------- |
---|
820 | DO jj = jpjm1, 2, -1 |
---|
821 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
822 | zuavad = zuavad + pua_ad(ji,jj,jk) * ( zwz(ji,jj-1) + zwz(ji,jj) ) |
---|
823 | zwzad(ji,jj-1) = zwzad(ji,jj-1) + pua_ad(ji,jj,jk) * zuav |
---|
824 | zwzad(ji,jj ) = zwzad(ji,jj ) + pua_ad(ji,jj,jk) * zuav |
---|
825 | |
---|
826 | zvauad = zvauad + pva_ad(ji,jj,jk) * ( zwz(ji-1,jj) + zwz(ji,jj) ) |
---|
827 | zwzad(ji-1,jj) = zwzad(ji-1,jj) + pva_ad(ji,jj,jk) * zvau |
---|
828 | zwzad(ji ,jj) = zwzad(ji ,jj) + pva_ad(ji,jj,jk) * zvau |
---|
829 | |
---|
830 | zwyad(ji ,jj-1) = zwyad(ji ,jj-1) + zuavad * zfact1 / e1u(ji,jj) |
---|
831 | zwyad(ji+1,jj-1) = zwyad(ji+1,jj-1) + zuavad * zfact1 / e1u(ji,jj) |
---|
832 | zwyad(ji ,jj ) = zwyad(ji ,jj ) + zuavad * zfact1 / e1u(ji,jj) |
---|
833 | zwyad(ji+1,jj ) = zwyad(ji+1,jj ) + zuavad * zfact1 / e1u(ji,jj) |
---|
834 | zuavad = 0.0_wp |
---|
835 | |
---|
836 | zwxad(ji-1,jj ) = zwxad(ji-1,jj ) - zvauad * zfact1 / e2v(ji,jj) |
---|
837 | zwxad(ji-1,jj+1) = zwxad(ji-1,jj+1) - zvauad * zfact1 / e2v(ji,jj) |
---|
838 | zwxad(ji ,jj ) = zwxad(ji ,jj ) - zvauad * zfact1 / e2v(ji,jj) |
---|
839 | zwxad(ji ,jj+1) = zwxad(ji ,jj+1) - zvauad * zfact1 / e2v(ji,jj) |
---|
840 | zvauad = 0.0_wp |
---|
841 | END DO |
---|
842 | END DO |
---|
843 | IF( ln_sco ) THEN |
---|
844 | DO jj = jpj, 1, -1 ! caution: don't use (:,:) for this loop |
---|
845 | DO ji = jpi, 1, -1 ! it causes optimization problems on NEC in auto-tasking |
---|
846 | zwzad(ji,jj) = zwzad(ji,jj) / fse3f(ji,jj,jk) |
---|
847 | un_ad(ji,jj,jk) = un_ad(ji,jj,jk) + zwxad(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) |
---|
848 | vn_ad(ji,jj,jk) = vn_ad(ji,jj,jk) + zwyad(ji,jj) * e1v(ji,jj) * fse3v(ji,jj,jk) |
---|
849 | zwxad(ji,jj) = 0.0_wp |
---|
850 | zwyad(ji,jj) = 0.0_wp |
---|
851 | END DO |
---|
852 | END DO |
---|
853 | ELSE |
---|
854 | DO jj = jpj, 1, -1 ! caution: don't use (:,:) for this loop |
---|
855 | DO ji = jpi, 1, -1 ! it causes optimization problems on NEC in auto-tasking |
---|
856 | un_ad(ji,jj,jk) = un_ad(ji,jj,jk) + e2u(ji,jj) * zwxad(ji,jj) |
---|
857 | vn_ad(ji,jj,jk) = vn_ad(ji,jj,jk) + e1v(ji,jj) * zwyad(ji,jj) |
---|
858 | zwxad(ji,jj) = 0.0_wp |
---|
859 | zwyad(ji,jj) = 0.0_wp |
---|
860 | END DO |
---|
861 | END DO |
---|
862 | ENDIF |
---|
863 | ! Potential vorticity and horizontal fluxes |
---|
864 | ! ----------------------------------------- |
---|
865 | SELECT CASE( kvor ) ! vorticity considered |
---|
866 | CASE ( 1 ) ! planetary vorticity (Coriolis) |
---|
867 | zwzad(:,:) = 0.0_wp |
---|
868 | CASE ( 2 ,4) ! relative vorticity |
---|
869 | rotn_ad(:,:,jk) = rotn_ad(:,:,jk) + zwzad(:,:) |
---|
870 | zwzad(:,:) = 0.0_wp |
---|
871 | CASE ( 3 ,5 ) ! metric term |
---|
872 | DO jj = jpjm1, 1, -1 |
---|
873 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
874 | vn_ad(ji+1,jj,jk) = vn_ad(ji+1,jj,jk) & |
---|
875 | & + zwzad(ji,jj) * ( e2v(ji+1,jj) - e2v(ji,jj) ) & |
---|
876 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
877 | vn_ad(ji ,jj,jk) = vn_ad(ji ,jj,jk) & |
---|
878 | & + zwzad(ji,jj) * ( e2v(ji+1,jj) - e2v(ji,jj) ) & |
---|
879 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
880 | un_ad(ji,jj+1,jk) = un_ad(ji,jj+1,jk) & |
---|
881 | & - zwzad(ji,jj) * ( e1u(ji,jj+1) - e1u(ji,jj) ) & |
---|
882 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
883 | un_ad(ji,jj ,jk) = un_ad(ji,jj ,jk) & |
---|
884 | & - zwzad(ji,jj) * ( e1u(ji,jj+1) - e1u(ji,jj) ) & |
---|
885 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
886 | zwzad(ji,jj) = 0.0_wp |
---|
887 | END DO |
---|
888 | END DO |
---|
889 | END SELECT |
---|
890 | ! ! =============== |
---|
891 | END DO ! End of slab |
---|
892 | ! ! =============== |
---|
893 | END SUBROUTINE vor_ens_adj |
---|
894 | |
---|
895 | |
---|
896 | SUBROUTINE vor_een_adj( kt, kvor, pua_ad, pva_ad ) |
---|
897 | !!---------------------------------------------------------------------- |
---|
898 | !! *** ROUTINE vor_een_adj *** |
---|
899 | !! |
---|
900 | !! ** Purpose : Compute the now total vorticity trend and add it to |
---|
901 | !! the general trend of the momentum equation. |
---|
902 | !! |
---|
903 | !! ** Method : Trend evaluated using now fields (centered in time) |
---|
904 | !! and the Arakawa and Lamb (19XX) flux form formulation : conserves |
---|
905 | !! both the horizontal kinetic energy and the potential enstrophy |
---|
906 | !! when horizontal divergence is zero. |
---|
907 | !! The trend of the vorticity term is given by: |
---|
908 | !! * s-coordinate (ln_sco=T), the e3. are inside the derivatives: |
---|
909 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
---|
910 | !! Add this trend to the general momentum trend (ua,va): |
---|
911 | !! (ua,va) = (ua,va) + ( voru , vorv ) |
---|
912 | !! |
---|
913 | !! ** Action : - Update (ua,va) with the now vorticity term trend |
---|
914 | !! - save the trends in (ztrdu,ztrdv) in 2 parts (relative |
---|
915 | !! and planetary vorticity trends) ('key_trddyn') |
---|
916 | !! |
---|
917 | !! References : Arakawa and Lamb 1980, Mon. Wea. Rev., 109, 18-36 |
---|
918 | !!---------------------------------------------------------------------- |
---|
919 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
920 | INTEGER , INTENT(in ) :: kvor ! =ncor (planetary) ; =ntot (total) ; |
---|
921 | ! ! =nrvm (relative vorticity or metric) |
---|
922 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pua_ad ! total u-trend |
---|
923 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pva_ad ! total v-trend |
---|
924 | !! |
---|
925 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
926 | REAL(wp) :: zfac12 ! temporary scalars |
---|
927 | REAL(wp) :: zuaad, zvaad ! temporary scalars |
---|
928 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zwz ! temporary 2D workspace |
---|
929 | REAL(wp), DIMENSION(jpi,jpj) :: ztnw, ztne, ztsw, ztse ! temporary 3D workspace |
---|
930 | REAL(wp), DIMENSION(jpi,jpj) :: zwxad, zwyad, zwzad ! temporary 2D workspace |
---|
931 | REAL(wp), DIMENSION(jpi,jpj) :: ztnwad, ztnead, ztswad, ztsead ! temporary 3D workspace |
---|
932 | REAL(wp), DIMENSION(jpi,jpj,jpk), SAVE :: ze3f |
---|
933 | !!---------------------------------------------------------------------- |
---|
934 | |
---|
935 | ! local adjoint initailization |
---|
936 | zuaad = 0.0_wp ; zvaad = 0.0_wp |
---|
937 | zwxad (:,:) = 0.0_wp ; zwyad (:,:) = 0.0_wp ; zwzad (:,:) = 0.0_wp |
---|
938 | ztnwad(:,:) = 0.0_wp ; ztnead(:,:) = 0.0_wp ; ztswad(:,:) = 0.0_wp ; ztsead(:,:) = 0.0_wp |
---|
939 | |
---|
940 | IF( kt == nitend ) THEN |
---|
941 | IF(lwp) WRITE(numout,*) |
---|
942 | IF(lwp) WRITE(numout,*) 'dyn:vor_een_adj : vorticity term: energy and enstrophy conserving scheme' |
---|
943 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
944 | |
---|
945 | DO jk = 1, jpk |
---|
946 | DO jj = 1, jpjm1 |
---|
947 | DO ji = 1, jpim1 |
---|
948 | ze3f(ji,jj,jk) = ( fse3t(ji,jj+1,jk)*tmask(ji,jj+1,jk) + fse3t(ji+1,jj+1,jk)*tmask(ji+1,jj+1,jk) & |
---|
949 | & + fse3t(ji,jj ,jk)*tmask(ji,jj ,jk) + fse3t(ji+1,jj ,jk)*tmask(ji+1,jj ,jk) ) * 0.25_wp |
---|
950 | IF( ze3f(ji,jj,jk) /= 0.0_wp ) ze3f(ji,jj,jk) = 1.0_wp / ze3f(ji,jj,jk) |
---|
951 | END DO |
---|
952 | END DO |
---|
953 | END DO |
---|
954 | CALL lbc_lnk( ze3f, 'F', 1._wp ) |
---|
955 | ENDIF |
---|
956 | |
---|
957 | ! Local constant initialization |
---|
958 | zfac12 = 1.0_wp / 12.0_wp |
---|
959 | |
---|
960 | !CDIR PARALLEL DO PRIVATE( zwx, zwy, zwz, ztnw, ztne, ztsw, ztse ) |
---|
961 | ! ! =============== |
---|
962 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
963 | ! ! =============== |
---|
964 | |
---|
965 | ! Potential vorticity and horizontal fluxes (Direct local variables init) |
---|
966 | ! ----------------------------------------- |
---|
967 | SELECT CASE( kvor ) ! vorticity considered |
---|
968 | CASE ( 1 ) ; zwz(:,:) = ff(:,:) * ze3f(:,:,jk) ! planetary vorticity (Coriolis) |
---|
969 | CASE ( 2 ) ; zwz(:,:) = rotn(:,:,jk) * ze3f(:,:,jk) ! relative vorticity |
---|
970 | CASE ( 3 ) ! metric term |
---|
971 | DO jj = 1, jpjm1 |
---|
972 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
973 | zwz(ji,jj) = ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
974 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) )& |
---|
975 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f(ji,jj,jk) |
---|
976 | END DO |
---|
977 | END DO |
---|
978 | CASE ( 4 ) ; zwz(:,:) = ( rotn(:,:,jk) + ff(:,:) ) * ze3f(:,:,jk) ! total (relative + planetary vorticity) |
---|
979 | CASE ( 5 ) ! total (coriolis + metric) |
---|
980 | DO jj = 1, jpjm1 |
---|
981 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
982 | zwz(ji,jj) = ( ff (ji,jj) & |
---|
983 | & + ( ( vn(ji+1,jj ,jk) + vn (ji,jj,jk) ) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) & |
---|
984 | & - ( un(ji ,jj+1,jk) + un (ji,jj,jk) ) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) ) & |
---|
985 | & * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) & |
---|
986 | & ) * ze3f(ji,jj,jk) |
---|
987 | END DO |
---|
988 | END DO |
---|
989 | END SELECT |
---|
990 | |
---|
991 | zwx(:,:) = e2u(:,:) * fse3u(:,:,jk) * un(:,:,jk) |
---|
992 | zwy(:,:) = e1v(:,:) * fse3v(:,:,jk) * vn(:,:,jk) |
---|
993 | |
---|
994 | ! Compute and add the vorticity term trend |
---|
995 | ! ---------------------------------------- |
---|
996 | jj=2 |
---|
997 | ztne(1,:) = 0.0_wp ; ztnw(1,:) = 0.0_wp ; ztse(1,:) = 0.0_wp ; ztsw(1,:) = 0.0_wp |
---|
998 | DO ji = 2, jpi |
---|
999 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
1000 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
1001 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
1002 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
1003 | END DO |
---|
1004 | DO jj = 3, jpj |
---|
1005 | DO ji = fs_2, jpi ! vector opt. |
---|
1006 | ztne(ji,jj) = zwz(ji-1,jj ) + zwz(ji ,jj ) + zwz(ji ,jj-1) |
---|
1007 | ztnw(ji,jj) = zwz(ji-1,jj-1) + zwz(ji-1,jj ) + zwz(ji ,jj ) |
---|
1008 | ztse(ji,jj) = zwz(ji ,jj ) + zwz(ji ,jj-1) + zwz(ji-1,jj-1) |
---|
1009 | ztsw(ji,jj) = zwz(ji ,jj-1) + zwz(ji-1,jj-1) + zwz(ji-1,jj ) |
---|
1010 | END DO |
---|
1011 | END DO |
---|
1012 | |
---|
1013 | ! =================== |
---|
1014 | ! Adjoint counterpart |
---|
1015 | ! =================== |
---|
1016 | |
---|
1017 | DO jj = jpjm1, 2, -1 |
---|
1018 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
---|
1019 | zuaad = zuaad + pua_ad(ji,jj,jk) |
---|
1020 | zvaad = zvaad + pva_ad(ji,jj,jk) |
---|
1021 | |
---|
1022 | zvaad = - zvaad * zfac12 / e2v(ji,jj) |
---|
1023 | ztswad(ji ,jj+1) = ztswad(ji ,jj+1) + zvaad * zwx (ji-1,jj+1) |
---|
1024 | zwxad (ji-1,jj+1) = zwxad (ji-1,jj+1) + zvaad * ztsw(ji ,jj+1) |
---|
1025 | ztsead(ji ,jj+1) = ztsead(ji ,jj+1) + zvaad * zwx (ji ,jj+1) |
---|
1026 | zwxad (ji ,jj+1) = zwxad (ji ,jj+1) + zvaad * ztse(ji ,jj+1) |
---|
1027 | ztnwad(ji ,jj ) = ztnwad(ji ,jj ) + zvaad * zwx (ji-1,jj ) |
---|
1028 | zwxad (ji-1,jj ) = zwxad (ji-1,jj ) + zvaad * ztnw(ji ,jj ) |
---|
1029 | ztnead(ji ,jj ) = ztnead(ji ,jj ) + zvaad * zwx (ji ,jj ) |
---|
1030 | zwxad (ji ,jj ) = zwxad (ji ,jj ) + zvaad * ztne(ji ,jj ) |
---|
1031 | zvaad = 0.0_wp |
---|
1032 | |
---|
1033 | zuaad = zuaad * zfac12 / e1u(ji,jj) |
---|
1034 | ztnead(ji ,jj ) = ztnead(ji ,jj ) + zuaad * zwy (ji ,jj ) |
---|
1035 | zwyad (ji ,jj ) = zwyad (ji ,jj ) + zuaad * ztne(ji ,jj ) |
---|
1036 | ztnwad(ji+1,jj ) = ztnwad(ji+1,jj ) + zuaad * zwy (ji+1,jj ) |
---|
1037 | zwyad (ji+1,jj ) = zwyad (ji+1,jj ) + zuaad * ztnw(ji+1,jj ) |
---|
1038 | ztsead(ji ,jj ) = ztsead(ji ,jj ) + zuaad * zwy (ji ,jj-1) |
---|
1039 | zwyad (ji ,jj-1) = zwyad (ji ,jj-1) + zuaad * ztse(ji ,jj ) |
---|
1040 | ztswad(ji+1,jj ) = ztswad(ji+1,jj ) + zuaad * zwy (ji+1,jj-1) |
---|
1041 | zwyad (ji+1,jj-1) = zwyad (ji+1,jj-1) + zuaad * ztsw(ji+1,jj ) |
---|
1042 | zuaad = 0.0_wp |
---|
1043 | END DO |
---|
1044 | END DO |
---|
1045 | DO jj = jpj, 3, -1 |
---|
1046 | DO ji = jpi, fs_2, -1 ! vector opt. |
---|
1047 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztswad(ji,jj) |
---|
1048 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztswad(ji,jj) |
---|
1049 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztswad(ji,jj) |
---|
1050 | ztswad(ji ,jj ) = 0.0_wp |
---|
1051 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztsead(ji,jj) |
---|
1052 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztsead(ji,jj) |
---|
1053 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztsead(ji,jj) |
---|
1054 | ztsead(ji,jj) = 0.0_wp |
---|
1055 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztnwad(ji,jj) |
---|
1056 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztnwad(ji,jj) |
---|
1057 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztnwad(ji,jj) |
---|
1058 | ztnwad(ji ,jj ) = 0.0_wp |
---|
1059 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztnead(ji,jj) |
---|
1060 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztnead(ji,jj) |
---|
1061 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztnead(ji,jj) |
---|
1062 | ztnead(ji,jj) = 0.0_wp |
---|
1063 | END DO |
---|
1064 | END DO |
---|
1065 | jj=2 |
---|
1066 | DO ji = jpi, 2, -1 |
---|
1067 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztswad(ji,jj) |
---|
1068 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztswad(ji,jj) |
---|
1069 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztswad(ji,jj) |
---|
1070 | ztswad(ji,jj) = 0.0_wp |
---|
1071 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztsead(ji,jj) |
---|
1072 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztsead(ji,jj) |
---|
1073 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztsead(ji,jj) |
---|
1074 | ztsead(ji ,jj ) = 0.0_wp |
---|
1075 | zwzad (ji-1,jj-1) = zwzad(ji-1,jj-1) + ztnwad(ji,jj) |
---|
1076 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztnwad(ji,jj) |
---|
1077 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztnwad(ji,jj) |
---|
1078 | ztnwad(ji ,jj ) = 0.0_wp |
---|
1079 | zwzad (ji-1,jj ) = zwzad(ji-1,jj ) + ztnead(ji,jj) |
---|
1080 | zwzad (ji ,jj ) = zwzad(ji ,jj ) + ztnead(ji,jj) |
---|
1081 | zwzad (ji ,jj-1) = zwzad(ji ,jj-1) + ztnead(ji,jj) |
---|
1082 | ztnead(ji ,jj ) = 0.0_wp |
---|
1083 | END DO |
---|
1084 | ztnead(1,:) = 0.0_wp ; ztnwad(1,:) = 0.0_wp |
---|
1085 | ztsead(1,:) = 0.0_wp ; ztswad(1,:) = 0.0_wp |
---|
1086 | |
---|
1087 | vn_ad(:,:,jk) = vn_ad(:,:,jk) + zwyad(:,:) * e1v(:,:) * fse3v(:,:,jk) |
---|
1088 | un_ad(:,:,jk) = un_ad(:,:,jk) + zwxad(:,:) * e2u(:,:) * fse3u(:,:,jk) |
---|
1089 | zwyad(:,:) = 0.0_wp |
---|
1090 | zwxad(:,:) = 0.0_wp |
---|
1091 | |
---|
1092 | ! Potential vorticity and horizontal fluxes |
---|
1093 | ! ----------------------------------------- |
---|
1094 | SELECT CASE( kvor ) ! vorticity considered |
---|
1095 | CASE ( 1 ) |
---|
1096 | zwzad(:,:) = 0.0_wp |
---|
1097 | CASE ( 2 ) |
---|
1098 | rotn_ad(:,:,jk) = rotn_ad(:,:,jk) + zwzad(:,:) * ze3f(:,:,jk) |
---|
1099 | zwzad(:,:) = 0.0_wp |
---|
1100 | CASE ( 3 ) ! metric term |
---|
1101 | DO jj = jpjm1, 1, -1 |
---|
1102 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
1103 | zwzad(ji ,jj ) = zwzad(ji,jj) * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f(ji,jj,jk) |
---|
1104 | vn_ad(ji+1,jj ,jk) = vn_ad(ji+1,jj ,jk) + zwzad(ji,jj) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) |
---|
1105 | vn_ad(ji ,jj ,jk) = vn_ad(ji ,jj ,jk) + zwzad(ji,jj) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) |
---|
1106 | un_ad(ji ,jj+1,jk) = - un_ad(ji ,jj+1,jk) + zwzad(ji,jj) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) |
---|
1107 | un_ad(ji ,jj ,jk) = - un_ad(ji ,jj ,jk) + zwzad(ji,jj) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) |
---|
1108 | zwzad(ji ,jj ) = 0.0_wp |
---|
1109 | END DO |
---|
1110 | END DO |
---|
1111 | CASE ( 4 ) |
---|
1112 | rotn_ad(:,:,jk) = rotn_ad(:,:,jk) + zwzad(:,:) * ze3f(:,:,jk) |
---|
1113 | zwzad(:,:) = 0.0_wp |
---|
1114 | CASE ( 5 ) ! total (coriolis + metric) |
---|
1115 | DO jj = jpjm1, 1, -1 |
---|
1116 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
---|
1117 | zwzad(ji ,jj ) = zwzad(ji,jj) * 0.5 / ( e1f(ji,jj) * e2f(ji,jj) ) * ze3f(ji,jj,jk) |
---|
1118 | |
---|
1119 | vn_ad(ji+1,jj ,jk) = vn_ad(ji+1,jj ,jk) + zwzad(ji,jj) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) |
---|
1120 | vn_tl(ji ,jj ,jk) = vn_tl(ji ,jj ,jk) + zwzad(ji,jj) * ( e2v(ji+1,jj ) - e2v(ji,jj) ) |
---|
1121 | un_ad(ji ,jj+1,jk) = un_ad(ji ,jj+1,jk) - zwzad(ji,jj) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) |
---|
1122 | un_ad(ji ,jj ,jk) = un_ad(ji ,jj ,jk) - zwzad(ji,jj) * ( e1u(ji ,jj+1) - e1u(ji,jj) ) |
---|
1123 | |
---|
1124 | zwzad(ji ,jj ) = 0.0_wp |
---|
1125 | END DO |
---|
1126 | END DO |
---|
1127 | END SELECT |
---|
1128 | ! ! =============== |
---|
1129 | END DO ! End of slab |
---|
1130 | ! ! =============== |
---|
1131 | END SUBROUTINE vor_een_adj |
---|
1132 | |
---|
1133 | SUBROUTINE vor_ctl_tam |
---|
1134 | !!--------------------------------------------------------------------- |
---|
1135 | !! *** ROUTINE vor_ctl_tam *** |
---|
1136 | !! |
---|
1137 | !! ** Purpose : Control the consistency between cpp options for |
---|
1138 | !! tracer advection schemes |
---|
1139 | !!---------------------------------------------------------------------- |
---|
1140 | INTEGER :: ioptio ! temporary integer |
---|
1141 | NAMELIST/nam_dynvor/ ln_dynvor_ens, ln_dynvor_ene, ln_dynvor_mix, ln_dynvor_een |
---|
1142 | !!---------------------------------------------------------------------- |
---|
1143 | |
---|
1144 | REWIND ( numnam ) ! Read Namelist nam_dynvor : Vorticity scheme options |
---|
1145 | READ ( numnam, nam_dynvor ) |
---|
1146 | |
---|
1147 | IF(lwp) THEN ! Namelist print |
---|
1148 | WRITE(numout,*) |
---|
1149 | WRITE(numout,*) 'dyn:vor_ctl_tam : vorticity term : read namelist and control the consistency' |
---|
1150 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
---|
1151 | WRITE(numout,*) ' Namelist nam_dynvor : choice of the vorticity term scheme' |
---|
1152 | WRITE(numout,*) ' energy conserving scheme ln_dynvor_ene = ', ln_dynvor_ene |
---|
1153 | WRITE(numout,*) ' enstrophy conserving scheme ln_dynvor_ens = ', ln_dynvor_ens |
---|
1154 | WRITE(numout,*) ' mixed enstrophy/energy conserving scheme ln_dynvor_mix = ', ln_dynvor_mix |
---|
1155 | WRITE(numout,*) ' enstrophy and energy conserving scheme ln_dynvor_een = ', ln_dynvor_een |
---|
1156 | ENDIF |
---|
1157 | |
---|
1158 | ioptio = 0 ! Control of vorticity scheme options |
---|
1159 | IF( ln_dynvor_ene ) ioptio = ioptio + 1 |
---|
1160 | IF( ln_dynvor_ens ) ioptio = ioptio + 1 |
---|
1161 | IF( ln_dynvor_mix ) ioptio = ioptio + 1 |
---|
1162 | IF( ln_dynvor_een ) ioptio = ioptio + 1 |
---|
1163 | IF( lk_esopa ) ioptio = 1 |
---|
1164 | |
---|
1165 | IF( ioptio /= 1 ) CALL ctl_stop( ' use ONE and ONLY one vorticity scheme' ) |
---|
1166 | |
---|
1167 | ! ! Set nvor (type of scheme for vorticity) |
---|
1168 | IF( ln_dynvor_ene ) nvor = 0 |
---|
1169 | IF( ln_dynvor_ens ) nvor = 1 |
---|
1170 | IF( ln_dynvor_mix ) nvor = 2 |
---|
1171 | IF( ln_dynvor_een ) nvor = 3 |
---|
1172 | IF( lk_esopa ) nvor = -1 |
---|
1173 | |
---|
1174 | ! ! Set ncor, nrvm, ntot (type of vorticity) |
---|
1175 | IF(lwp) WRITE(numout,*) |
---|
1176 | ncor = 1 |
---|
1177 | IF( ln_dynadv_vec ) THEN |
---|
1178 | IF(lwp) WRITE(numout,*) ' Vector form advection : vorticity = Coriolis + relative vorticity' |
---|
1179 | nrvm = 2 |
---|
1180 | ntot = 4 |
---|
1181 | ELSE |
---|
1182 | IF(lwp) WRITE(numout,*) ' Flux form advection : vorticity = Coriolis + metric term' |
---|
1183 | nrvm = 3 |
---|
1184 | ntot = 5 |
---|
1185 | ENDIF |
---|
1186 | |
---|
1187 | IF(lwp) THEN ! Print the choice |
---|
1188 | WRITE(numout,*) |
---|
1189 | IF( nvor == 0 ) WRITE(numout,*) ' vorticity scheme : energy conserving scheme' |
---|
1190 | IF( nvor == 1 ) WRITE(numout,*) ' vorticity scheme : enstrophy conserving scheme' |
---|
1191 | IF( nvor == 2 ) WRITE(numout,*) ' vorticity scheme : mixed enstrophy/energy conserving scheme' |
---|
1192 | IF( nvor == 3 ) WRITE(numout,*) ' vorticity scheme : energy and enstrophy conserving scheme' |
---|
1193 | IF( nvor == -1 ) WRITE(numout,*) ' esopa test: use all lateral physics options' |
---|
1194 | ENDIF |
---|
1195 | ! |
---|
1196 | END SUBROUTINE vor_ctl_tam |
---|
1197 | |
---|
1198 | SUBROUTINE dyn_vor_adj_tst( kumadt ) |
---|
1199 | !!----------------------------------------------------------------------- |
---|
1200 | !! |
---|
1201 | !! *** ROUTINE dyn_adv_adj_tst *** |
---|
1202 | !! |
---|
1203 | !! ** Purpose : Test the adjoint routine. |
---|
1204 | !! |
---|
1205 | !! ** Method : Verify the scalar product |
---|
1206 | !! |
---|
1207 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
1208 | !! |
---|
1209 | !! where L = tangent routine |
---|
1210 | !! L^T = adjoint routine |
---|
1211 | !! W = diagonal matrix of scale factors |
---|
1212 | !! dx = input perturbation (random field) |
---|
1213 | !! dy = L dx |
---|
1214 | !! |
---|
1215 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
1216 | !! |
---|
1217 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
1218 | !! |
---|
1219 | !! History : |
---|
1220 | !! ! 08-08 (A. Vidard) |
---|
1221 | !!----------------------------------------------------------------------- |
---|
1222 | !! * Modules used |
---|
1223 | |
---|
1224 | !! * Arguments |
---|
1225 | INTEGER, INTENT(IN) :: & |
---|
1226 | & kumadt ! Output unit |
---|
1227 | |
---|
1228 | INTEGER :: & |
---|
1229 | & ji, & ! dummy loop indices |
---|
1230 | & jj, & |
---|
1231 | & jk, & |
---|
1232 | & jt |
---|
1233 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
1234 | & iseed_2d ! 2D seed for the random number generator |
---|
1235 | |
---|
1236 | !! * Local declarations |
---|
1237 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
1238 | & zun_tlin, & ! Tangent input: now u-velocity |
---|
1239 | & zvn_tlin, & ! Tangent input: now v-velocity |
---|
1240 | & zrotn_tlin, & ! Tangent input: now rot |
---|
1241 | & zun_adout, & ! Adjoint output: now u-velocity |
---|
1242 | & zvn_adout, & ! Adjoint output: now v-velocity |
---|
1243 | & zrotn_adout, & ! Adjoint output: now rot |
---|
1244 | & zua_adout, & ! Tangent output: after u-velocity |
---|
1245 | & zva_adout, & ! Tangent output: after v-velocity |
---|
1246 | & zua_tlin, & ! Tangent output: after u-velocity |
---|
1247 | & zva_tlin, & ! Tangent output: after v-velocity |
---|
1248 | & zua_tlout, & ! Tangent output: after u-velocity |
---|
1249 | & zva_tlout, & ! Tangent output: after v-velocity |
---|
1250 | & zua_adin, & ! Tangent output: after u-velocity |
---|
1251 | & zva_adin, & ! Tangent output: after v-velocity |
---|
1252 | & zau, & ! 3D random field for rotn |
---|
1253 | & zav, & ! 3D random field for rotn |
---|
1254 | & znu, & ! 3D random field for u |
---|
1255 | & znv ! 3D random field for v |
---|
1256 | REAL(KIND=wp) :: & |
---|
1257 | & zsp1, & ! scalar product involving the tangent routine |
---|
1258 | & zsp1_1, & ! scalar product components |
---|
1259 | & zsp1_2, & |
---|
1260 | & zsp2, & ! scalar product involving the adjoint routine |
---|
1261 | & zsp2_1, & ! scalar product components |
---|
1262 | & zsp2_2, & |
---|
1263 | & zsp2_3, & |
---|
1264 | & zsp2_4, & |
---|
1265 | & zsp2_5 |
---|
1266 | CHARACTER(LEN=14) :: cl_name |
---|
1267 | |
---|
1268 | ! Allocate memory |
---|
1269 | |
---|
1270 | ALLOCATE( & |
---|
1271 | & zun_tlin(jpi,jpj,jpk), & |
---|
1272 | & zvn_tlin(jpi,jpj,jpk), & |
---|
1273 | & zrotn_tlin(jpi,jpj,jpk), & |
---|
1274 | & zun_adout(jpi,jpj,jpk), & |
---|
1275 | & zvn_adout(jpi,jpj,jpk), & |
---|
1276 | & zrotn_adout(jpi,jpj,jpk), & |
---|
1277 | & zua_adout(jpi,jpj,jpk), & |
---|
1278 | & zva_adout(jpi,jpj,jpk), & |
---|
1279 | & zua_tlin(jpi,jpj,jpk), & |
---|
1280 | & zva_tlin(jpi,jpj,jpk), & |
---|
1281 | & zua_tlout(jpi,jpj,jpk), & |
---|
1282 | & zva_tlout(jpi,jpj,jpk), & |
---|
1283 | & zua_adin(jpi,jpj,jpk), & |
---|
1284 | & zva_adin(jpi,jpj,jpk), & |
---|
1285 | & zau(jpi,jpj,jpk), & |
---|
1286 | & zav(jpi,jpj,jpk), & |
---|
1287 | & znu(jpi,jpj,jpk), & |
---|
1288 | & znv(jpi,jpj,jpk) & |
---|
1289 | & ) |
---|
1290 | |
---|
1291 | ! init ntot parameter |
---|
1292 | CALL vor_ctl_tam ! initialisation & control of options |
---|
1293 | |
---|
1294 | DO jt = 1, 2 |
---|
1295 | IF (jt == 1) nvor=1 ! enstrophy conserving scheme |
---|
1296 | IF (jt == 2) nvor=3 ! energy and enstrophy conserving scheme |
---|
1297 | |
---|
1298 | ! Initialize rotn |
---|
1299 | CALL div_cur ( nit000 ) |
---|
1300 | |
---|
1301 | !================================================================== |
---|
1302 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
---|
1303 | ! dy = ( hdivb_tl, hdivn_tl ) |
---|
1304 | !================================================================== |
---|
1305 | |
---|
1306 | !-------------------------------------------------------------------- |
---|
1307 | ! Reset the tangent and adjoint variables |
---|
1308 | !-------------------------------------------------------------------- |
---|
1309 | |
---|
1310 | zun_tlin(:,:,:) = 0.0_wp |
---|
1311 | zvn_tlin(:,:,:) = 0.0_wp |
---|
1312 | zrotn_tlin(:,:,:) = 0.0_wp |
---|
1313 | zun_adout(:,:,:) = 0.0_wp |
---|
1314 | zvn_adout(:,:,:) = 0.0_wp |
---|
1315 | zrotn_adout(:,:,:) = 0.0_wp |
---|
1316 | zua_tlout(:,:,:) = 0.0_wp |
---|
1317 | zva_tlout(:,:,:) = 0.0_wp |
---|
1318 | zua_adin(:,:,:) = 0.0_wp |
---|
1319 | zva_adin(:,:,:) = 0.0_wp |
---|
1320 | zua_adout(:,:,:) = 0.0_wp |
---|
1321 | zva_adout(:,:,:) = 0.0_wp |
---|
1322 | zua_tlin(:,:,:) = 0.0_wp |
---|
1323 | zva_tlin(:,:,:) = 0.0_wp |
---|
1324 | znu(:,:,:) = 0.0_wp |
---|
1325 | znv(:,:,:) = 0.0_wp |
---|
1326 | zau(:,:,:) = 0.0_wp |
---|
1327 | zav(:,:,:) = 0.0_wp |
---|
1328 | |
---|
1329 | |
---|
1330 | un_tl(:,:,:) = 0.0_wp |
---|
1331 | vn_tl(:,:,:) = 0.0_wp |
---|
1332 | ua_tl(:,:,:) = 0.0_wp |
---|
1333 | va_tl(:,:,:) = 0.0_wp |
---|
1334 | un_ad(:,:,:) = 0.0_wp |
---|
1335 | vn_ad(:,:,:) = 0.0_wp |
---|
1336 | ua_ad(:,:,:) = 0.0_wp |
---|
1337 | va_ad(:,:,:) = 0.0_wp |
---|
1338 | rotn_tl(:,:,:) = 0.0_wp |
---|
1339 | rotn_ad(:,:,:) = 0.0_wp |
---|
1340 | |
---|
1341 | !-------------------------------------------------------------------- |
---|
1342 | ! Initialize the tangent input with random noise: dx |
---|
1343 | !-------------------------------------------------------------------- |
---|
1344 | |
---|
1345 | DO jj = 1, jpj |
---|
1346 | DO ji = 1, jpi |
---|
1347 | iseed_2d(ji,jj) = - ( 596035 + & |
---|
1348 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
1349 | END DO |
---|
1350 | END DO |
---|
1351 | CALL grid_random( iseed_2d, znu, 'U', 0.0_wp, stdu ) |
---|
1352 | |
---|
1353 | DO jj = 1, jpj |
---|
1354 | DO ji = 1, jpi |
---|
1355 | iseed_2d(ji,jj) = - ( 523432 + & |
---|
1356 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
1357 | END DO |
---|
1358 | END DO |
---|
1359 | CALL grid_random( iseed_2d, znv, 'V', 0.0_wp, stdv ) |
---|
1360 | |
---|
1361 | DO jj = 1, jpj |
---|
1362 | DO ji = 1, jpi |
---|
1363 | iseed_2d(ji,jj) = - ( 432545 + & |
---|
1364 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
1365 | END DO |
---|
1366 | END DO |
---|
1367 | CALL grid_random( iseed_2d, zau, 'U', 0.0_wp, stdu ) |
---|
1368 | |
---|
1369 | DO jj = 1, jpj |
---|
1370 | DO ji = 1, jpi |
---|
1371 | iseed_2d(ji,jj) = - ( 287503 + & |
---|
1372 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
1373 | END DO |
---|
1374 | END DO |
---|
1375 | CALL grid_random( iseed_2d, zav, 'V', 0.0_wp, stdv ) |
---|
1376 | |
---|
1377 | DO jk = 1, jpk |
---|
1378 | DO jj = nldj, nlej |
---|
1379 | DO ji = nldi, nlei |
---|
1380 | zun_tlin(ji,jj,jk) = znu(ji,jj,jk) |
---|
1381 | zvn_tlin(ji,jj,jk) = znv(ji,jj,jk) |
---|
1382 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
---|
1383 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
---|
1384 | END DO |
---|
1385 | END DO |
---|
1386 | END DO |
---|
1387 | un_tl(:,:,:) = zun_tlin(:,:,:) |
---|
1388 | vn_tl(:,:,:) = zvn_tlin(:,:,:) |
---|
1389 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
---|
1390 | va_tl(:,:,:) = zva_tlin(:,:,:) |
---|
1391 | |
---|
1392 | ! initialize rotn_tl with noise |
---|
1393 | CALL div_cur_tan ( nit000 ) |
---|
1394 | |
---|
1395 | DO jk = 1, jpk |
---|
1396 | DO jj = nldj, nlej |
---|
1397 | DO ji = nldi, nlei |
---|
1398 | zrotn_tlin(ji,jj,jk) = rotn_tl(ji,jj,jk) |
---|
1399 | END DO |
---|
1400 | END DO |
---|
1401 | END DO |
---|
1402 | rotn_tl(:,:,:) = zrotn_tlin(:,:,:) |
---|
1403 | |
---|
1404 | |
---|
1405 | IF (nvor == 1 ) CALL vor_ens_tan( nit000, ntot, ua_tl, va_tl ) |
---|
1406 | IF (nvor == 3 ) CALL vor_een_tan( nit000, ntot, ua_tl, va_tl ) |
---|
1407 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
---|
1408 | zva_tlout(:,:,:) = va_tl(:,:,:) |
---|
1409 | |
---|
1410 | !-------------------------------------------------------------------- |
---|
1411 | ! Initialize the adjoint variables: dy^* = W dy |
---|
1412 | !-------------------------------------------------------------------- |
---|
1413 | |
---|
1414 | DO jk = 1, jpk |
---|
1415 | DO jj = nldj, nlej |
---|
1416 | DO ji = nldi, nlei |
---|
1417 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
---|
1418 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
---|
1419 | & * umask(ji,jj,jk) |
---|
1420 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
---|
1421 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
---|
1422 | & * vmask(ji,jj,jk) |
---|
1423 | END DO |
---|
1424 | END DO |
---|
1425 | END DO |
---|
1426 | !-------------------------------------------------------------------- |
---|
1427 | ! Compute the scalar product: ( L dx )^T W dy |
---|
1428 | !-------------------------------------------------------------------- |
---|
1429 | |
---|
1430 | zsp1_1 = DOT_PRODUCT( zua_tlout, zua_adin ) |
---|
1431 | zsp1_2 = DOT_PRODUCT( zva_tlout, zva_adin ) |
---|
1432 | zsp1 = zsp1_1 + zsp1_2 |
---|
1433 | |
---|
1434 | !-------------------------------------------------------------------- |
---|
1435 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
1436 | !-------------------------------------------------------------------- |
---|
1437 | |
---|
1438 | ua_ad(:,:,:) = zua_adin(:,:,:) |
---|
1439 | va_ad(:,:,:) = zva_adin(:,:,:) |
---|
1440 | |
---|
1441 | |
---|
1442 | IF (nvor == 1 ) CALL vor_ens_adj( nitend, ntot, ua_ad, va_ad ) |
---|
1443 | IF (nvor == 3 ) CALL vor_een_adj( nitend, ntot, ua_ad, va_ad ) |
---|
1444 | zun_adout(:,:,:) = un_ad(:,:,:) |
---|
1445 | zvn_adout(:,:,:) = vn_ad(:,:,:) |
---|
1446 | zrotn_adout(:,:,:) = rotn_ad(:,:,:) |
---|
1447 | zua_adout(:,:,:) = ua_ad(:,:,:) |
---|
1448 | zva_adout(:,:,:) = va_ad(:,:,:) |
---|
1449 | |
---|
1450 | zsp2_1 = DOT_PRODUCT( zun_tlin, zun_adout ) |
---|
1451 | zsp2_2 = DOT_PRODUCT( zvn_tlin, zvn_adout ) |
---|
1452 | zsp2_3 = DOT_PRODUCT( zrotn_tlin, zrotn_adout ) |
---|
1453 | zsp2_4 = DOT_PRODUCT( zua_tlin, zua_adout ) |
---|
1454 | zsp2_5 = DOT_PRODUCT( zva_tlin, zva_adout ) |
---|
1455 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 + zsp2_5 |
---|
1456 | |
---|
1457 | ! Compare the scalar products |
---|
1458 | |
---|
1459 | ! 14 char:'12345678901234' |
---|
1460 | IF (nvor == 1 ) cl_name = 'dynvor_adj ens' |
---|
1461 | IF (nvor == 3 ) cl_name = 'dynvor_adj een' |
---|
1462 | |
---|
1463 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
1464 | END DO |
---|
1465 | |
---|
1466 | DEALLOCATE( & |
---|
1467 | & zun_tlin, & |
---|
1468 | & zvn_tlin, & |
---|
1469 | & zrotn_tlin, & |
---|
1470 | & zun_adout, & |
---|
1471 | & zvn_adout, & |
---|
1472 | & zrotn_adout, & |
---|
1473 | & zua_adout, & |
---|
1474 | & zva_adout, & |
---|
1475 | & zua_tlin, & |
---|
1476 | & zva_tlin, & |
---|
1477 | & zua_tlout, & |
---|
1478 | & zva_tlout, & |
---|
1479 | & zua_adin, & |
---|
1480 | & zva_adin, & |
---|
1481 | & zau, & |
---|
1482 | & zav, & |
---|
1483 | & znu, & |
---|
1484 | & znv & |
---|
1485 | & ) |
---|
1486 | END SUBROUTINE dyn_vor_adj_tst |
---|
1487 | !!============================================================================= |
---|
1488 | #endif |
---|
1489 | END MODULE dynvor_tam |
---|