1 | MODULE trcldf_iso_zps |
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2 | !!============================================================================== |
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3 | !! *** MODULE trcldf_iso_zps *** |
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4 | !! Ocean passive tracers: horizontal component of the lateral tracer mixing trend |
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5 | !!============================================================================== |
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6 | #if key_passivetrc && defined key_ldfslp |
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7 | !!---------------------------------------------------------------------- |
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8 | !! 'key_ldfslp' slope of the lateral diffusive direction |
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9 | !!---------------------------------------------------------------------- |
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10 | !! trc_ldf_iso_zps : update the tracer trend with the horizontal |
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11 | !! component of a iso-neutral laplacian operator |
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12 | !!---------------------------------------------------------------------- |
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13 | !! * Modules used |
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14 | USE oce_trc ! ocean dynamics and active tracers variables |
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15 | USE trc ! ocean passive tracers variables |
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16 | USE prtctl_trc ! Print control for debbuging |
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17 | |
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18 | IMPLICIT NONE |
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19 | PRIVATE |
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20 | |
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21 | !! * Accessibility |
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22 | PUBLIC trc_ldf_iso_zps ! routine called by step.F90 |
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23 | |
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24 | !! * Substitutions |
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25 | # include "passivetrc_substitute.h90" |
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26 | !!---------------------------------------------------------------------- |
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27 | !! TOP 1.0 , LOCEAN-IPSL (2005) |
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28 | !! $Header$ |
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29 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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30 | !!---------------------------------------------------------------------- |
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31 | |
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32 | CONTAINS |
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33 | |
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34 | SUBROUTINE trc_ldf_iso_zps( kt ) |
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35 | !!---------------------------------------------------------------------- |
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36 | !! *** ROUTINE trc_ldf_iso_zps *** |
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37 | !! |
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38 | !! ** Purpose : Compute the before horizontal tracer diffusive |
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39 | !! trend and add it to the general trend of tracer equation. |
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40 | !! |
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41 | !! ** Method : The horizontal component of the lateral diffusive trends |
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42 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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43 | !! tential surfaces to which an eddy induced advection can be added |
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44 | !! It is computed using before fields (forward in time) and isopyc- |
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45 | !! nal or geopotential slopes computed in routine ldfslp. |
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46 | !! |
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47 | !! horizontal fluxes associated with the rotated lateral mixing: |
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48 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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49 | !! - aht e2u*uslp dk[ mi(mk(trb)) ] |
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50 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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51 | !! - aht e2u*vslp dk[ mj(mk(trb)) ] |
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52 | !! add horizontal Eddy Induced advective fluxes (lk_traldf_eiv=T): |
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53 | !! zftu = zftu - dk-1[ aht e2u mi(wslpi) ] mi( trb ) |
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54 | !! zftv = zftv - dk-1[ aht e1v mj(wslpj) ] mj( trb ) |
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55 | !! take the horizontal divergence of the fluxes: |
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56 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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57 | !! Add this trend to the general trend tra : |
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58 | !! tra = tra + difft |
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59 | !! |
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60 | !! 'key_trdtra' defined: the trend is saved for diagnostics. |
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61 | !! |
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62 | !! macro-tasked on horizontal slab (jk-loop). |
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63 | !! |
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64 | !! ** Action : |
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65 | !! Update tra arrays with the before along level biharmonic |
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66 | !! mixing trend. |
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67 | !! Save in trtrd arrays the trends if 'key_trc_diatrd' defined |
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68 | !! |
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69 | !! History : |
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70 | !! ! 94-08 (G. Madec, M. Imbard) |
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71 | !! ! 97-05 (G. Madec) split into traldf and trazdf |
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72 | !! 8.5 ! 02-08 (G. Madec) Free form, F90 |
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73 | !! 9.0 ! 04-03 (C. Ethe) adapted for passive tracers |
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74 | !!---------------------------------------------------------------------- |
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75 | !! * Modules used |
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76 | USE oce_trc , zftu => ua, & ! use ua as workspace |
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77 | & zfsu => va ! use va as workspace |
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78 | |
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79 | !! * Arguments |
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80 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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81 | |
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82 | !! * Local declarations |
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83 | INTEGER :: ji, jj, jk,jn ! dummy loop indices |
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84 | INTEGER :: iku, ikv ! temporary integer |
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85 | REAL(wp) :: & |
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86 | zabe1, zabe2, zcof1, zcof2, & ! temporary scalars |
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87 | zmsku, zmskv, zbtr, ztra, & |
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88 | ztagu, ztagv |
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89 | |
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90 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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91 | zdkt , zdk1t ! temporary workspace |
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92 | |
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93 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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94 | zftv, zgtbu, zgtbv ! temporary workspace |
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95 | |
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96 | #if defined key_trcldf_eiv |
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97 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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98 | zftug, zftvg ! temporary workspace |
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99 | |
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100 | REAL(wp) :: & |
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101 | zuwk, zvwk, & |
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102 | zuwk1, zvwk1, & |
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103 | zcg1,zcg2 |
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104 | #endif |
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105 | CHARACTER (len=22) :: charout |
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106 | !!---------------------------------------------------------------------- |
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107 | |
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108 | IF( kt == nittrc000 ) THEN |
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109 | IF(lwp) WRITE(numout,*) |
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110 | IF(lwp) WRITE(numout,*) 'trc_ldf_iso_zps : iso neutral laplacian diffusion in ' |
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111 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinates with partial steps' |
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112 | #if defined key_trcldf_eiv && defined key_diaeiv |
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113 | u_trc_eiv(:,:,:) = 0.e0 |
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114 | v_trc_eiv(:,:,:) = 0.e0 |
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115 | #endif |
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116 | ENDIF |
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117 | |
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118 | DO jn = 1, jptra |
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119 | |
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120 | ztagu = 0.e0 |
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121 | ztagv = 0.e0 |
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122 | |
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123 | ! Horizontal passive tracer gradient |
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124 | DO jk = 1, jpk |
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125 | DO jj = 1, jpj-1 |
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126 | DO ji = 1, fs_jpim1 ! vector opt. |
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127 | zgtbu(ji,jj,jk) = tmask(ji,jj,jk) * ( trb(ji+1,jj ,jk,jn) - trb(ji,jj,jk,jn) ) |
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128 | zgtbv(ji,jj,jk) = tmask(ji,jj,jk) * ( trb(ji ,jj+1,jk,jn) - trb(ji,jj,jk,jn) ) |
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129 | END DO |
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130 | END DO |
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131 | END DO |
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132 | ! partial steps correction at the last level |
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133 | DO jj = 1, jpj-1 |
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134 | DO ji = 1, jpi-1 |
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135 | ! last level |
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136 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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137 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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138 | zgtbu(ji,jj,iku) = gtru(ji,jj,jn) |
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139 | zgtbv(ji,jj,ikv) = gtrv(ji,jj,jn) |
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140 | END DO |
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141 | END DO |
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142 | |
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143 | ! ! =============== |
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144 | DO jk = 1, jpkm1 ! Horizontal slab |
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145 | ! ! =============== |
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146 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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147 | ! ------------------------------------------------ |
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148 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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149 | |
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150 | zdk1t(:,:) = ( trb(:,:,jk,jn) - trb(:,:,jk+1,jn) ) * tmask(:,:,jk+1) |
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151 | |
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152 | IF( jk == 1 ) THEN |
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153 | zdkt(:,:) = zdk1t(:,:) |
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154 | ELSE |
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155 | zdkt(:,:) = ( trb(:,:,jk-1,jn) - trb(:,:,jk,jn) ) * tmask(:,:,jk) |
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156 | ENDIF |
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157 | |
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158 | |
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159 | ! 2. Horizontal fluxes |
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160 | ! -------------------- |
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161 | |
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162 | DO jj = 1 , jpjm1 |
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163 | DO ji = 1, fs_jpim1 ! vector opt. |
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164 | zabe1 = ( fsahtru(ji,jj,jk) + ahtrb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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165 | zabe2 = ( fsahtrv(ji,jj,jk) + ahtrb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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166 | |
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167 | zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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168 | + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. ) |
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169 | |
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170 | zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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171 | + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. ) |
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172 | |
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173 | zcof1 = -fsahtru(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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174 | zcof2 = -fsahtrv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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175 | |
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176 | zftu(ji,jj,jk) = umask(ji,jj,jk) * ( zabe1 * zgtbu(ji,jj,jk) & |
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177 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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178 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) |
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179 | zftv(ji,jj,jk) = vmask(ji,jj,jk) * ( zabe2 * zgtbv(ji,jj,jk) & |
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180 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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181 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) |
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182 | END DO |
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183 | END DO |
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184 | |
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185 | # if defined key_trcldf_eiv |
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186 | ! ---------------------------------------! |
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187 | ! Eddy induced vertical advective fluxes ! |
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188 | ! ---------------------------------------! |
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189 | DO jj = 1, jpjm1 |
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190 | DO ji = 1, fs_jpim1 ! vector opt. |
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191 | zuwk = ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj ,jk ) ) * fsaeitru(ji,jj,jk ) * umask(ji,jj,jk ) |
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192 | zuwk1= ( wslpi(ji,jj,jk+1) + wslpi(ji+1,jj ,jk+1) ) * fsaeitru(ji,jj,jk+1) * umask(ji,jj,jk+1) |
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193 | zvwk = ( wslpj(ji,jj,jk ) + wslpj(ji ,jj+1,jk ) ) * fsaeitrv(ji,jj,jk ) * vmask(ji,jj,jk ) |
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194 | zvwk1= ( wslpj(ji,jj,jk+1) + wslpj(ji ,jj+1,jk+1) ) * fsaeitrv(ji,jj,jk+1) * vmask(ji,jj,jk+1) |
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195 | |
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196 | zcg1= -0.25 * e2u(ji,jj) * umask(ji,jj,jk) * ( zuwk-zuwk1 ) |
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197 | zcg2= -0.25 * e1v(ji,jj) * vmask(ji,jj,jk) * ( zvwk-zvwk1 ) |
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198 | |
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199 | zftug(ji,jj) = zcg1 * ( trb(ji+1,jj,jk,jn) + trb(ji,jj,jk,jn) ) |
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200 | zftvg(ji,jj) = zcg2 * ( trb(ji,jj+1,jk,jn) + trb(ji,jj,jk,jn) ) |
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201 | |
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202 | zftu(ji,jj,jk) = zftu(ji,jj,jk) + zftug(ji,jj) |
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203 | zftv(ji,jj,jk) = zftv(ji,jj,jk) + zftvg(ji,jj) |
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204 | |
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205 | # if defined key_diaeiv |
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206 | u_trc_eiv(ji,jj,jk) = -2. * zcg1 / ( e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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207 | v_trc_eiv(ji,jj,jk) = -2. * zcg2 / ( e1v(ji,jj) * fse3v(ji,jj,jk) ) |
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208 | # endif |
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209 | END DO |
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210 | END DO |
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211 | # endif |
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212 | |
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213 | ! II.4 Second derivative (divergence) and add to the general trend |
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214 | ! ---------------------------------------------------------------- |
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215 | |
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216 | DO jj = 2 , jpjm1 |
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217 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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218 | zbtr= 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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219 | ztra = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1,jj,jk) + zftv(ji,jj,jk) - zftv(ji,jj-1,jk) ) |
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220 | tra (ji,jj,jk,jn) = tra (ji,jj,jk,jn) + ztra |
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221 | #if defined key_trc_diatrd |
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222 | IF (luttrd(jn)) trtrd (ji,jj,jk,ikeep(jn),4) = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1, jj,jk) ) |
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223 | IF (luttrd(jn)) trtrd (ji,jj,jk,ikeep(jn),5) = zbtr * ( zftv(ji,jj,jk) - zftv(ji ,jj-1,jk) ) |
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224 | #endif |
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225 | END DO |
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226 | END DO |
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227 | #if defined key_trc_diatrd |
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228 | # if defined key_trcldf_eiv |
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229 | DO jj = 2 , jpjm1 |
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230 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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231 | zbtr= 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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232 | ztagu = ( zftug(ji,jj) - zftug(ji-1,jj ) ) * zbtr |
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233 | ztagv = ( zftvg(ji,jj) - zftvg(ji ,jj-1) ) * zbtr |
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234 | IF (luttrd(jn)) trtrd (ji,jj,jk,ikeep(jn),4) = trtrd(ji,jj,jk,ikeep(jn),4) - ztagu |
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235 | IF (luttrd(jn)) trtrd (ji,jj,jk,ikeep(jn),5) = trtrd(ji,jj,jk,ikeep(jn),5) - ztagv |
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236 | END DO |
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237 | END DO |
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238 | # endif |
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239 | #endif |
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240 | ! ! =============== |
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241 | END DO ! End of slab |
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242 | ! ! =============== |
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243 | END DO |
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244 | |
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245 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
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246 | WRITE(charout, FMT="('ldf - iso/zps')") |
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247 | CALL prt_ctl_trc_info(charout) |
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248 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm,clinfo2='trd') |
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249 | ENDIF |
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250 | |
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251 | END SUBROUTINE trc_ldf_iso_zps |
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252 | |
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253 | #else |
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254 | !!---------------------------------------------------------------------- |
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255 | !! default option : Dummy code NO rotation of the diffusive tensor |
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256 | !!---------------------------------------------------------------------- |
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257 | CONTAINS |
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258 | SUBROUTINE trc_ldf_iso_zps( kt ) ! Empty routine |
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259 | INTEGER, INTENT(in) :: kt |
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260 | WRITE(*,*) 'trc_ldf_iso_zps: You should not have seen this print! error?', kt |
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261 | END SUBROUTINE trc_ldf_iso_zps |
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262 | #endif |
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263 | |
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264 | !!============================================================================== |
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265 | END MODULE trcldf_iso_zps |
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