1 | MODULE dynhpg_jki |
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2 | !!====================================================================== |
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3 | !! *** MODULE dynhpg_jki *** |
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4 | !! Ocean dynamics: hydrostatic pressure gradient trend |
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5 | !!====================================================================== |
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6 | |
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7 | !!---------------------------------------------------------------------- |
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8 | !! hpg...o_jki : update the momentum trend with the horizontal |
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9 | !! gradient of the hydrostatic pressure |
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10 | !!---------------------------------------------------------------------- |
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11 | !! * Modules used |
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12 | USE oce ! ocean dynamics and tracers |
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13 | USE dom_oce ! ocean space and time domain |
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14 | USE phycst ! physical constants |
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15 | USE in_out_manager ! I/O manager |
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16 | USE trdmod ! ocean dynamics trends |
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17 | USE trdmod_oce ! ocean variables trends |
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18 | USE prtctl ! Print control |
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19 | USE lbclnk ! lateral boundary condition |
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20 | |
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21 | IMPLICIT NONE |
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22 | PRIVATE |
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23 | |
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24 | !! * Accessibility |
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25 | PUBLIC hpg_sco_jki ! routine called by step.F90 |
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26 | PUBLIC hpg_zps_jki ! routine called by step.F90 |
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27 | PUBLIC hpg_zco_jki ! routine called by step.F90 |
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28 | |
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29 | !! * Substitutions |
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30 | # include "domzgr_substitute.h90" |
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31 | # include "vectopt_loop_substitute.h90" |
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32 | !!---------------------------------------------------------------------- |
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33 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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34 | !!---------------------------------------------------------------------- |
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35 | |
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36 | CONTAINS |
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37 | |
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38 | SUBROUTINE hpg_sco_jki( kt ) |
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39 | !!--------------------------------------------------------------------- |
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40 | !! *** ROUTINE hpg_sco_jki *** |
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41 | !! |
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42 | !! ** Purpose : Compute the now momentum trend due to the horizontal |
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43 | !! gradient of the hydrostatic pressure. Add it to the general |
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44 | !! momentum trend. |
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45 | !! |
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46 | !! ** Method : The now hydrostatic pressure gradient at a given level |
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47 | !! jk is computed by taking the vertical integral of the in-situ |
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48 | !! density gradient along the model level from the suface to that |
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49 | !! level. s-coordinate case (ln_sco=T): a corrective term is |
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50 | !! added to the horizontal pressure gradient : |
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51 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
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52 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
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53 | !! add it to the general momentum trend (ua,va). |
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54 | !! ua = ua - 1/e1u * zhpi |
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55 | !! va = va - 1/e2v * zhpj |
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56 | !! j-k-i loop (j-slab) ('key_mpp_omp') |
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57 | !! |
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58 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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59 | !! - Save the trend in (utrd,vtrd) ('key_trddyn') |
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60 | !! |
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61 | !! History : |
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62 | !! 7.0 ! 96-01 (G. Madec) s-coordinates |
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63 | !! ! 97-05 (G. Madec) split dynber into dynkeg and dynhpg |
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64 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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65 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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66 | !!---------------------------------------------------------------------- |
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67 | !! * modules used |
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68 | USE oce, ONLY : zhpi => ta, & ! use ta as 3D workspace |
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69 | & zhpj => sa ! use sa as 3D workspace |
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70 | |
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71 | !! * Arguments |
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72 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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73 | |
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74 | !! * Local declarations |
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75 | INTEGER :: ji, jj, jk ! dummy loop indices |
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76 | REAL(wp) :: & |
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77 | zcoef0, zuap, zvap ! temporary scalars |
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78 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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79 | ztdua, ztdva ! temporary scalars |
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80 | !!---------------------------------------------------------------------- |
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81 | |
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82 | IF( kt == nit000 ) THEN |
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83 | IF(lwp) WRITE(numout,*) |
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84 | IF(lwp) WRITE(numout,*) 'hpg_sco_jki : s-coordinate hydrostatic pressure gradient trend' |
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85 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ OpenMP / NEC autotasking case (j-k-i loop)' |
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86 | ENDIF |
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87 | |
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88 | ! Save ua and va trends |
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89 | IF( l_trddyn ) THEN |
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90 | ztdua(:,:,:) = ua(:,:,:) |
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91 | ztdva(:,:,:) = va(:,:,:) |
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92 | ENDIF |
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93 | |
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94 | ! 0. Local constant initialization |
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95 | ! -------------------------------- |
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96 | zcoef0 = - grav * 0.5 |
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97 | zuap = 0.e0 |
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98 | zvap = 0.e0 |
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99 | |
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100 | ! ! =============== |
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101 | DO jj = 2, jpjm1 ! Vertical slab |
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102 | ! ! =============== |
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103 | ! 1. Surface value |
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104 | ! ---------------- |
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105 | DO ji = 2, jpim1 |
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106 | ! hydrostatic pressure gradient along s-surfaces |
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107 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) & |
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108 | * ( fse3w(ji+1,jj,1) * rhd(ji+1,jj,1) - fse3w(ji,jj,1) * rhd(ji,jj,1) ) |
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109 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) & |
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110 | * ( fse3w(ji,jj+1,1) * rhd(ji,jj+1,1) - fse3w(ji,jj,1) * rhd(ji,jj,1) ) |
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111 | ! s-coordinate pressure gradient correction |
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112 | zuap = -zcoef0 * ( rhd(ji+1,jj,1) + rhd(ji,jj,1) ) & |
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113 | * ( fsde3w(ji+1,jj,1) - fsde3w(ji,jj,1) ) / e1u(ji,jj) |
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114 | zvap = -zcoef0 * ( rhd(ji,jj+1,1) + rhd(ji,jj,1) ) & |
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115 | * ( fsde3w(ji,jj+1,1) - fsde3w(ji,jj,1) ) / e2v(ji,jj) |
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116 | ! add to the general momentum trend |
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117 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
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118 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
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119 | END DO |
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120 | |
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121 | ! 2. interior value (2=<jk=<jpkm1) |
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122 | ! ----------------- |
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123 | DO jk = 2, jpkm1 |
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124 | DO ji = 2, jpim1 |
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125 | ! hydrostatic pressure gradient along s-surfaces |
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126 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 / e1u(ji,jj) & |
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127 | & * ( fse3w(ji+1,jj,jk) * ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) ) & |
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128 | & -fse3w(ji ,jj,jk) * ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) ) ) |
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129 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 / e2v(ji,jj) & |
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130 | & * ( fse3w(ji,jj+1,jk) * ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) ) & |
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131 | & -fse3w(ji,jj ,jk) * ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) ) ) |
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132 | ! s-coordinate pressure gradient correction |
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133 | zuap = -zcoef0 * ( rhd(ji+1,jj ,jk) + rhd(ji,jj,jk) ) & |
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134 | * ( fsde3w(ji+1,jj,jk) - fsde3w(ji,jj,jk) ) / e1u(ji,jj) |
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135 | zvap = -zcoef0 * ( rhd(ji ,jj+1,jk) + rhd(ji,jj,jk) ) & |
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136 | * ( fsde3w(ji,jj+1,jk) - fsde3w(ji,jj,jk) ) / e2v(ji,jj) |
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137 | ! add to the general momentum trend |
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138 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
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139 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
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140 | END DO |
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141 | END DO |
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142 | ! ! =============== |
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143 | END DO ! End of slab |
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144 | ! ! =============== |
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145 | |
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146 | ! save the hydrostatic pressure gradient trends for diagnostic |
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147 | ! momentum trends |
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148 | IF( l_trddyn ) THEN |
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149 | zhpi(:,:,:) = ua(:,:,:) - ztdua(:,:,:) |
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150 | zhpj(:,:,:) = va(:,:,:) - ztdva(:,:,:) |
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151 | CALL trd_mod(zhpi, zhpj, jpdtdhpg, 'DYN', kt) |
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152 | ENDIF |
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153 | |
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154 | IF(ln_ctl) THEN ! print sum trends (used for debugging) |
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155 | CALL prt_ctl(tab3d_1=ua, clinfo1=' hpg - Ua: ', mask1=umask, & |
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156 | & tab3d_2=va, clinfo2=' Va: ', mask2=vmask, clinfo3='dyn') |
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157 | ENDIF |
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158 | |
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159 | END SUBROUTINE hpg_sco_jki |
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160 | |
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161 | |
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162 | SUBROUTINE hpg_zps_jki( kt ) |
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163 | !!--------------------------------------------------------------------- |
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164 | !! *** ROUTINE hpg_zps_jki *** |
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165 | !! |
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166 | !! ** Purpose : Compute the now momentum trend due to the hor. gradient |
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167 | !! of the hydrostatic pressure. Add it to the general momentum trend. |
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168 | !! |
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169 | !! ** Method : The now hydrostatic pressure gradient at a given level |
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170 | !! jk is computed by taking the vertical integral of the in-situ |
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171 | !! density gradient along the model level from the suface to that |
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172 | !! level: zhpi = grav ..... |
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173 | !! zhpj = grav ..... |
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174 | !! add it to the general momentum trend (ua,va). |
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175 | !! ua = ua - 1/e1u * zhpi |
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176 | !! va = va - 1/e2v * zhpj |
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177 | !! j-k-i loop (j-slab) ('key_mpp_omp') |
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178 | !! |
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179 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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180 | !! - Save the trend in (utrd,vtrd) ('key_trddyn') |
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181 | !! |
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182 | !! History : |
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183 | !! 8.5 ! 02-08 (A. Bozec) Original code |
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184 | !!---------------------------------------------------------------------- |
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185 | !! * modules used |
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186 | USE oce, ONLY : zhpi => ta, & ! use ta as 3D workspace |
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187 | & zhpj => sa ! use sa as 3D workspace |
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188 | |
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189 | !! * Arguments |
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190 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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191 | |
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192 | !! * local declarations |
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193 | INTEGER :: ji, jj, jk ! dummy loop indices |
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194 | INTEGER :: iku, ikv ! temporary integers |
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195 | REAL(wp) :: & |
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196 | zcoef0, zcoef1, zuap, & ! temporary scalars |
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197 | zcoef2, zcoef3, zvap ! " " |
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198 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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199 | ztdua, ztdva ! temporary scalars |
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200 | !!---------------------------------------------------------------------- |
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201 | |
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202 | IF( kt == nit000 ) THEN |
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203 | IF(lwp) WRITE(numout,*) |
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204 | IF(lwp) WRITE(numout,*) 'hpg_zps_jki : z-coord. partial steps hydrostatic pressure gradient trend' |
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205 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ OpenMP / NEC autotasking case (j-k-i loop)' |
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206 | ENDIF |
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207 | |
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208 | ! Save ua and va trends |
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209 | IF( l_trddyn ) THEN |
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210 | ztdua(:,:,:) = ua(:,:,:) |
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211 | ztdva(:,:,:) = va(:,:,:) |
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212 | ENDIF |
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213 | |
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214 | ! 0. Local constant initialization |
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215 | ! -------------------------------- |
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216 | zcoef0 = - grav * 0.5 |
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217 | zuap = 0.e0 |
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218 | zvap = 0.e0 |
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219 | ! ! =============== |
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220 | DO jj = 2, jpjm1 ! Vertical slab |
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221 | ! ! =============== |
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222 | ! 1. Surface value |
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223 | ! ---------------- |
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224 | DO ji = 2, jpim1 |
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225 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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226 | ! hydrostatic pressure gradient |
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227 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj,1) - rhd(ji,jj,1) ) / e1u(ji,jj) |
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228 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji,jj+1,1) - rhd(ji,jj,1) ) / e2v(ji,jj) |
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229 | ! add to the general momentum trend |
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230 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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231 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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232 | END DO |
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233 | |
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234 | ! 2. interior value (2=<jk=<jpkm1) |
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235 | ! ----------------- |
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236 | DO jk = 2, jpkm1 |
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237 | DO ji = 2, jpim1 |
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238 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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239 | ! hydrostatic pressure gradient |
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240 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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241 | & + zcoef1 * ( ( rhd(ji+1,jj,jk)+rhd(ji+1,jj,jk-1) ) & |
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242 | & - ( rhd(ji ,jj,jk)+rhd(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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243 | |
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244 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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245 | & + zcoef1 * ( ( rhd(ji,jj+1,jk)+rhd(ji,jj+1,jk-1) ) & |
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246 | & - ( rhd(ji,jj, jk)+rhd(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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247 | ! add to the general momentum trend |
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248 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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249 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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250 | END DO |
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251 | END DO |
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252 | |
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253 | ! partial steps correction at the last level (new gradient with intgrd.F) |
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254 | DO ji = 2, jpim1 |
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255 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
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256 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
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257 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
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258 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
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259 | ! on i-direction |
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260 | IF ( iku > 2 ) THEN |
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261 | ! subtract old value |
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262 | ua(ji,jj,iku) = ua(ji,jj,iku) - zhpi(ji,jj,iku) |
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263 | ! compute the new one |
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264 | zhpi (ji,jj,iku) = zhpi(ji,jj,iku-1) & |
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265 | + zcoef2 * ( rhd(ji+1,jj,iku-1) - rhd(ji,jj,iku-1) + gru(ji,jj) ) / e1u(ji,jj) |
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266 | ! add the new one to the general momentum trend |
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267 | ua(ji,jj,iku) = ua(ji,jj,iku) + zhpi(ji,jj,iku) |
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268 | ENDIF |
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269 | ! on j-direction |
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270 | IF ( ikv > 2 ) THEN |
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271 | ! subtract old value |
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272 | va(ji,jj,ikv) = va(ji,jj,ikv) - zhpj(ji,jj,ikv) |
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273 | ! compute the new one |
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274 | zhpj (ji,jj,ikv) = zhpj(ji,jj,ikv-1) & |
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275 | + zcoef3 * ( rhd(ji,jj+1,ikv-1) - rhd(ji,jj,ikv-1) + grv(ji,jj) ) / e2v(ji,jj) |
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276 | ! add the new one to the general momentum trend |
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277 | va(ji,jj,ikv) = va(ji,jj,ikv) + zhpj(ji,jj,ikv) |
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278 | ENDIF |
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279 | END DO |
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280 | ! ! =============== |
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281 | END DO ! End of slab |
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282 | ! ! =============== |
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283 | |
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284 | ! save the hydrostatic pressure gradient trends for diagnostic |
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285 | ! momentum trends |
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286 | IF( l_trddyn ) THEN |
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287 | zhpi(:,:,:) = ua(:,:,:) - ztdua(:,:,:) |
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288 | zhpj(:,:,:) = va(:,:,:) - ztdva(:,:,:) |
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289 | CALL trd_mod(zhpi, zhpj, jpdtdhpg, 'DYN', kt) |
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290 | ENDIF |
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291 | |
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292 | IF(ln_ctl) THEN ! print sum trends (used for debugging) |
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293 | CALL prt_ctl(tab3d_1=ua, clinfo1=' hpg - Ua: ', mask1=umask, & |
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294 | & tab3d_2=va, clinfo2=' Va: ', mask2=vmask, clinfo3='dyn') |
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295 | ENDIF |
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296 | |
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297 | END SUBROUTINE hpg_zps_jki |
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298 | |
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299 | |
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300 | SUBROUTINE hpg_zco_jki( kt ) |
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301 | !!--------------------------------------------------------------------- |
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302 | !! *** ROUTINE hpg_zco_jki *** |
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303 | !! |
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304 | !! ** Purpose : Compute the now momentum trend due to the horizontal |
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305 | !! gradient of the hydrostatic pressure. Add it to the general |
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306 | !! momentum trend. |
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307 | !! |
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308 | !! ** Method : The now hydrostatic pressure gradient at a given level |
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309 | !! jk is computed by taking the vertical integral of the in-situ |
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310 | !! density gradient along the model level from the suface to that |
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311 | !! level: zhpi = grav ..... |
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312 | !! zhpj = grav ..... |
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313 | !! add it to the general momentum trend (ua,va). |
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314 | !! ua = ua - 1/e1u * zhpi |
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315 | !! va = va - 1/e2v * zhpj |
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316 | !! j-k-i loop (j-slab) ('key_mpp_omp') |
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317 | !! |
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318 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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319 | !! - Save the trend in (utrd,vtrd) ('key_trddyn') |
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320 | !! |
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321 | !! History : |
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322 | !! 1.0 ! 87-09 (P. Andrich, m.-a. Foujols) Original code |
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323 | !! ! 91-11 (G. Madec) |
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324 | !! ! 96-01 (G. Madec) s-coordinates |
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325 | !! ! 97-05 (G. Madec) split dynber into dynkeg and dynhpg |
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326 | !! 8.5 ! 02-07 (G. Madec) F90: Free form and module |
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327 | !!---------------------------------------------------------------------- |
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328 | !! * modules used |
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329 | USE oce, ONLY : zhpi => ta, & ! use ta as 3D workspace |
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330 | & zhpj => sa ! use sa as 3D workspace |
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331 | |
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332 | !! * Arguments |
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333 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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334 | |
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335 | !! * local declarations |
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336 | INTEGER :: ji, jj, jk ! dummy loop indices |
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337 | REAL(wp) :: & |
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338 | zcoef0, zcoef1, zuap, zvap ! temporary scalars |
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339 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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340 | ztdua, ztdva ! temporary scalars |
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341 | !!---------------------------------------------------------------------- |
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342 | |
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343 | IF( kt == nit000 ) THEN |
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344 | IF(lwp) WRITE(numout,*) |
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345 | IF(lwp) WRITE(numout,*) 'hpg_zco_jki : z-coordinate hydrostatic pressure gradient trend' |
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346 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ OpenMP / NEC auto-tasking (j-k-i loop)' |
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347 | ENDIF |
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348 | |
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349 | ! Save ua and va trends |
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350 | IF( l_trddyn ) THEN |
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351 | ztdua(:,:,:) = ua(:,:,:) |
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352 | ztdva(:,:,:) = va(:,:,:) |
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353 | ENDIF |
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354 | |
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355 | ! 0. Local constant initialization |
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356 | ! -------------------------------- |
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357 | zcoef0 = - grav * 0.5 |
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358 | zuap = 0.e0 |
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359 | zvap = 0.e0 |
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360 | |
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361 | ! ! =============== |
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362 | DO jj = 2, jpjm1 ! Vertical slab |
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363 | ! ! =============== |
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364 | ! 1. Surface value |
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365 | ! ---------------- |
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366 | |
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367 | |
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368 | DO ji = 2, jpim1 |
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369 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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370 | ! hydrostatic pressure gradient |
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371 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj,1) - rhd(ji,jj,1) ) / e1u(ji,jj) |
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372 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji,jj+1,1) - rhd(ji,jj,1) ) / e2v(ji,jj) |
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373 | ! add to the general momentum trend |
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374 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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375 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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376 | END DO |
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377 | |
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378 | ! 2. interior value (2=<jk=<jpkm1) |
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379 | ! ----------------- |
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380 | DO jk = 2, jpkm1 |
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381 | DO ji = 2, jpim1 |
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382 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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383 | ! hydrostatic pressure gradient |
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384 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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385 | & + zcoef1 * ( ( rhd(ji+1,jj,jk)+rhd(ji+1,jj,jk-1) ) & |
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386 | & - ( rhd(ji ,jj,jk)+rhd(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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387 | |
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388 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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389 | & + zcoef1 * ( ( rhd(ji,jj+1,jk)+rhd(ji,jj+1,jk-1) ) & |
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390 | & - ( rhd(ji,jj, jk)+rhd(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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391 | ! add to the general momentum trend |
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392 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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393 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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394 | END DO |
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395 | END DO |
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396 | ! ! =============== |
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397 | END DO ! End of slab |
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398 | ! ! =============== |
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399 | |
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400 | ! save the hydrostatic pressure gradient trends for diagnostic |
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401 | ! momentum trends |
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402 | IF( l_trddyn ) THEN |
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403 | zhpi(:,:,:) = ua(:,:,:) - ztdua(:,:,:) |
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404 | zhpj(:,:,:) = va(:,:,:) - ztdva(:,:,:) |
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405 | |
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406 | CALL trd_mod(zhpi, zhpj, jpdtdhpg, 'DYN', kt) |
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407 | ENDIF |
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408 | |
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409 | IF(ln_ctl) THEN ! print sum trends (used for debugging) |
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410 | CALL prt_ctl(tab3d_1=ua, clinfo1=' hpg - Ua: ', mask1=umask, & |
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411 | & tab3d_2=va, clinfo2=' Va: ', mask2=vmask, clinfo3='dyn') |
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412 | ENDIF |
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413 | |
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414 | END SUBROUTINE hpg_zco_jki |
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415 | |
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416 | !!====================================================================== |
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417 | END MODULE dynhpg_jki |
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