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 | !! History : ! 94-08 (G. Madec, M. Imbard) |
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7 | !! ! 97-05 (G. Madec) split into traldf and trazdf |
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8 | !! 8.5 ! 02-08 (G. Madec) Free form, F90 |
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9 | !! 9.0 ! 04-03 (C. Ethe) adapted for passive tracers |
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10 | !! ! 07-02 (C. Deltel) Diagnose ML trends for passive tracers |
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11 | !!---------------------------------------------------------------------- |
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12 | #if key_top && defined key_ldfslp |
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13 | !!---------------------------------------------------------------------- |
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14 | !! 'key_ldfslp' slope of the lateral diffusive direction |
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15 | !!---------------------------------------------------------------------- |
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16 | !! trc_ldf_iso_zps : update the tracer trend with the horizontal |
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17 | !! component of a iso-neutral laplacian operator |
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18 | !!---------------------------------------------------------------------- |
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19 | USE oce_trc ! ocean dynamics and active tracers variables |
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20 | USE trp_trc ! ocean passive tracers variables |
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21 | USE prtctl_trc ! Print control for debbuging |
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22 | USE trdmld_trc |
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23 | USE trdmld_trc_oce |
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24 | |
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25 | IMPLICIT NONE |
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26 | PRIVATE |
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27 | |
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28 | PUBLIC trc_ldf_iso_zps ! routine called by step.F90 |
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29 | |
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30 | !! * Substitutions |
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31 | # include "top_substitute.h90" |
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32 | !!---------------------------------------------------------------------- |
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33 | !! TOP 1.0 , LOCEAN-IPSL (2005) |
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34 | !! $Header: /home/opalod/NEMOCVSROOT/NEMO/TOP_SRC/TRP/trcldf_iso_zps.F90,v 1.10 2006/09/12 11:10:14 opalod Exp $ |
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35 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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36 | !!---------------------------------------------------------------------- |
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37 | |
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38 | CONTAINS |
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39 | |
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40 | SUBROUTINE trc_ldf_iso_zps( kt ) |
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41 | !!---------------------------------------------------------------------- |
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42 | !! *** ROUTINE trc_ldf_iso_zps *** |
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43 | !! |
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44 | !! ** Purpose : Compute the before horizontal tracer diffusive |
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45 | !! trend and add it to the general trend of tracer equation. |
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46 | !! |
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47 | !! ** Method : The horizontal component of the lateral diffusive trends |
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48 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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49 | !! tential surfaces to which an eddy induced advection can be added |
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50 | !! It is computed using before fields (forward in time) and isopyc- |
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51 | !! nal or geopotential slopes computed in routine ldfslp. |
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52 | !! |
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53 | !! horizontal fluxes associated with the rotated lateral mixing: |
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54 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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55 | !! - aht e2u*uslp dk[ mi(mk(trb)) ] |
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56 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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57 | !! - aht e2u*vslp dk[ mj(mk(trb)) ] |
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58 | !! add horizontal Eddy Induced advective fluxes (lk_traldf_eiv=T): |
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59 | !! zftu = zftu - dk-1[ aht e2u mi(wslpi) ] mi( trb ) |
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60 | !! zftv = zftv - dk-1[ aht e1v mj(wslpj) ] mj( trb ) |
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61 | !! take the horizontal divergence of the fluxes: |
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62 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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63 | !! Add this trend to the general trend tra : |
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64 | !! tra = tra + difft |
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65 | !! |
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66 | !! 'key_trdtra' defined: the trend is saved for diagnostics. |
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67 | !! |
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68 | !! macro-tasked on horizontal slab (jk-loop). |
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69 | !! |
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70 | !! ** Action : |
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71 | !! Update tra arrays with the before along level biharmonic |
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72 | !! mixing trend. |
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73 | !! Save the trends if 'key_trdmld_trc' defined |
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74 | !!---------------------------------------------------------------------- |
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75 | USE oce_trc , zftu => ua, & ! use ua as workspace |
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76 | & zfsu => va ! use va as workspace |
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77 | !! |
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78 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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79 | INTEGER :: ji, jj, jk,jn ! dummy loop indices |
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80 | INTEGER :: iku, ikv ! temporary integer |
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81 | REAL(wp) :: & |
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82 | zabe1, zabe2, zcof1, zcof2, & ! temporary scalars |
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83 | zmsku, zmskv, zbtr, ztra, & |
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84 | ztagu, ztagv |
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85 | |
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86 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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87 | zdkt , zdk1t ! temporary workspace |
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88 | |
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89 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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90 | zftv, zgtbu, zgtbv ! temporary workspace |
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91 | |
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92 | #if defined key_trcldf_eiv |
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93 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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94 | zftug, zftvg ! temporary workspace |
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95 | REAL(wp) :: z_hdivn_x, z_hdivn_y |
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96 | REAL(wp) :: & |
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97 | zuwk, zvwk, & |
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98 | zuwk1, zvwk1, & |
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99 | zcg1,zcg2 |
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100 | #endif |
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101 | CHARACTER (len=22) :: charout |
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102 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrtrd |
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103 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrtrd_xei |
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104 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrtrd_yei |
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105 | !!---------------------------------------------------------------------- |
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106 | |
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107 | IF( kt == nittrc000 ) THEN |
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108 | IF(lwp) WRITE(numout,*) |
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109 | IF(lwp) WRITE(numout,*) 'trc_ldf_iso_zps : iso neutral laplacian diffusion in ' |
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110 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinates with partial steps' |
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111 | #if defined key_trcldf_eiv && defined key_diaeiv |
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112 | u_trc_eiv(:,:,:) = 0.e0 |
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113 | v_trc_eiv(:,:,:) = 0.e0 |
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114 | #endif |
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115 | ENDIF |
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116 | |
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117 | IF( l_trdtrc ) THEN |
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118 | ALLOCATE( ztrtrd(jpi,jpj,jpk) ) |
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119 | # if defined key_trcldf_eiv |
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120 | ALLOCATE( ztrtrd_xei(jpi,jpj,jpk) ) |
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121 | ALLOCATE( ztrtrd_yei(jpi,jpj,jpk) ) |
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122 | # endif |
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123 | ENDIF |
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124 | |
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125 | ! ! =========== |
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126 | DO jn = 1, jptra ! tracer loop |
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127 | ! ! =========== |
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128 | !CDIR COLLAPSE |
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129 | IF( l_trdtrc ) ztrtrd(:,:,:) = tra(:,:,:,jn) ! save trends |
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130 | |
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131 | ztagu = 0.e0 ; ztagv = 0.e0 |
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132 | |
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133 | ! Horizontal passive tracer gradient |
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134 | DO jk = 1, jpk |
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135 | DO jj = 1, jpj-1 |
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136 | DO ji = 1, fs_jpim1 ! vector opt. |
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137 | zgtbu(ji,jj,jk) = tmask(ji,jj,jk) * ( trb(ji+1,jj ,jk,jn) - trb(ji,jj,jk,jn) ) |
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138 | zgtbv(ji,jj,jk) = tmask(ji,jj,jk) * ( trb(ji ,jj+1,jk,jn) - trb(ji,jj,jk,jn) ) |
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139 | END DO |
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140 | END DO |
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141 | END DO |
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142 | ! partial steps correction at the last level |
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143 | DO jj = 1, jpj-1 |
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144 | DO ji = 1, jpi-1 |
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145 | ! last level |
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146 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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147 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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148 | zgtbu(ji,jj,iku) = gtru(ji,jj,jn) |
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149 | zgtbv(ji,jj,ikv) = gtrv(ji,jj,jn) |
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150 | END DO |
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151 | END DO |
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152 | |
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153 | ! ! =============== |
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154 | DO jk = 1, jpkm1 ! Horizontal slab |
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155 | ! ! =============== |
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156 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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157 | ! ------------------------------------------------ |
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158 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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159 | |
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160 | zdk1t(:,:) = ( trb(:,:,jk,jn) - trb(:,:,jk+1,jn) ) * tmask(:,:,jk+1) |
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161 | |
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162 | IF( jk == 1 ) THEN |
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163 | zdkt(:,:) = zdk1t(:,:) |
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164 | ELSE |
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165 | zdkt(:,:) = ( trb(:,:,jk-1,jn) - trb(:,:,jk,jn) ) * tmask(:,:,jk) |
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166 | ENDIF |
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167 | |
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168 | ! 2. Horizontal fluxes |
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169 | ! -------------------- |
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170 | |
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171 | DO jj = 1 , jpjm1 |
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172 | DO ji = 1, fs_jpim1 ! vector opt. |
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173 | zabe1 = ( fsahtru(ji,jj,jk) + ahtrb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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174 | zabe2 = ( fsahtrv(ji,jj,jk) + ahtrb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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175 | |
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176 | zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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177 | & + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. ) |
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178 | |
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179 | zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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180 | & + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. ) |
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181 | |
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182 | zcof1 = -fsahtru(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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183 | zcof2 = -fsahtrv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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184 | |
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185 | zftu(ji,jj,jk) = umask(ji,jj,jk) * ( zabe1 * zgtbu(ji,jj,jk) & |
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186 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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187 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) |
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188 | zftv(ji,jj,jk) = vmask(ji,jj,jk) * ( zabe2 * zgtbv(ji,jj,jk) & |
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189 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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190 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) |
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191 | END DO |
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192 | END DO |
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193 | |
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194 | # if defined key_trcldf_eiv |
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195 | |
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196 | ! ... Eddy induced horizontal advective fluxes |
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197 | DO jj = 1, jpjm1 |
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198 | DO ji = 1, fs_jpim1 ! vector opt. |
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199 | zuwk = ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj ,jk ) ) * fsaeitru(ji,jj,jk ) * umask(ji,jj,jk ) |
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200 | 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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201 | zvwk = ( wslpj(ji,jj,jk ) + wslpj(ji ,jj+1,jk ) ) * fsaeitrv(ji,jj,jk ) * vmask(ji,jj,jk ) |
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202 | 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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203 | |
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204 | zcg1= -0.25 * e2u(ji,jj) * umask(ji,jj,jk) * ( zuwk-zuwk1 ) |
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205 | zcg2= -0.25 * e1v(ji,jj) * vmask(ji,jj,jk) * ( zvwk-zvwk1 ) |
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206 | |
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207 | zftug(ji,jj) = zcg1 * ( trb(ji+1,jj,jk,jn) + trb(ji,jj,jk,jn) ) |
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208 | zftvg(ji,jj) = zcg2 * ( trb(ji,jj+1,jk,jn) + trb(ji,jj,jk,jn) ) |
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209 | |
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210 | zftu(ji,jj,jk) = zftu(ji,jj,jk) + zftug(ji,jj) |
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211 | zftv(ji,jj,jk) = zftv(ji,jj,jk) + zftvg(ji,jj) |
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212 | |
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213 | # if defined key_diaeiv |
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214 | u_trc_eiv(ji,jj,jk) = -2. * zcg1 / ( e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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215 | v_trc_eiv(ji,jj,jk) = -2. * zcg2 / ( e1v(ji,jj) * fse3v(ji,jj,jk) ) |
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216 | # endif |
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217 | END DO |
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218 | END DO |
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219 | # endif |
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220 | |
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221 | ! 3. Second derivative (divergence) and add to the general trend |
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222 | ! -------------------------------------------------------------- |
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223 | |
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224 | DO jj = 2 , jpjm1 |
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225 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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226 | zbtr= 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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227 | ztra = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1,jj,jk) + zftv(ji,jj,jk) - zftv(ji,jj-1,jk) ) |
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228 | tra (ji,jj,jk,jn) = tra (ji,jj,jk,jn) + ztra |
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229 | #if defined key_trc_diatrd |
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230 | IF (luttrd(jn)) trtrd (ji,jj,jk,ikeep(jn),4) = zbtr * ( zftu(ji,jj,jk) - zftu(ji-1, jj,jk) ) |
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231 | IF (luttrd(jn)) trtrd (ji,jj,jk,ikeep(jn),5) = zbtr * ( zftv(ji,jj,jk) - zftv(ji ,jj-1,jk) ) |
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232 | #endif |
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233 | END DO |
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234 | END DO |
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235 | #if defined key_trc_diatrd |
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236 | # if defined key_trcldf_eiv |
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237 | DO jj = 2 , jpjm1 |
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238 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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239 | zbtr= 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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240 | ztagu = ( zftug(ji,jj) - zftug(ji-1,jj ) ) * zbtr |
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241 | ztagv = ( zftvg(ji,jj) - zftvg(ji ,jj-1) ) * zbtr |
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242 | IF (luttrd(jn)) trtrd (ji,jj,jk,ikeep(jn),4) = trtrd(ji,jj,jk,ikeep(jn),4) - ztagu |
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243 | IF (luttrd(jn)) trtrd (ji,jj,jk,ikeep(jn),5) = trtrd(ji,jj,jk,ikeep(jn),5) - ztagv |
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244 | END DO |
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245 | END DO |
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246 | # endif |
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247 | #endif |
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248 | |
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249 | ! ! =============== |
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250 | END DO ! End of slab |
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251 | ! ! =============== |
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252 | |
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253 | ! 4. Save the horizontal diffusive and advective (eiv) trends for diagnostics |
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254 | ! --------------------------------------------------------------------------- |
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255 | !CDIR BEGIN COLLAPSE |
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256 | IF( l_trdtrc ) THEN |
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257 | |
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258 | ! 4.1) Compute the eiv ZONAL & MERIDIONAL advective trends |
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259 | |
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260 | # if defined key_trcldf_eiv |
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261 | ! ! =============== |
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262 | DO jk = 1, jpkm1 ! Horizontal slab |
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263 | ! ! =============== |
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264 | |
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265 | DO jj = 1, jpjm1 |
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266 | DO ji = 1, fs_jpim1 ! vector opt. |
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267 | zuwk = ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj ,jk ) ) * fsaeitru(ji,jj,jk ) * umask(ji,jj,jk ) |
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268 | 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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269 | zvwk = ( wslpj(ji,jj,jk ) + wslpj(ji ,jj+1,jk ) ) * fsaeitrv(ji,jj,jk ) * vmask(ji,jj,jk ) |
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270 | 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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271 | |
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272 | zcg1= -0.25 * e2u(ji,jj) * umask(ji,jj,jk) * ( zuwk-zuwk1 ) |
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273 | zcg2= -0.25 * e1v(ji,jj) * vmask(ji,jj,jk) * ( zvwk-zvwk1 ) |
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274 | |
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275 | zftug(ji,jj) = zcg1 * ( trb(ji+1,jj,jk,jn) + trb(ji,jj,jk,jn) ) |
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276 | zftvg(ji,jj) = zcg2 * ( trb(ji,jj+1,jk,jn) + trb(ji,jj,jk,jn) ) |
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277 | END DO |
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278 | END DO |
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279 | |
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280 | DO jj = 2 , jpjm1 |
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281 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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282 | |
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283 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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284 | |
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285 | !-- Compute zonal & meridional divergences of the eiv field : |
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286 | ! d_x[u_trc_eiv] = 1/(e1t*e2t*e3t) ( di[e2u*e3u u_trc_eiv] ) |
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287 | ! d_y[v_trc_eiv] = 1/(e1t*e2t*e3t) ( dj[e1v*e3v v_trc_eiv] ) |
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288 | ! N.B. This is only possible if key_diaeiv is switched on. |
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289 | # if defined key_diaeiv |
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290 | z_hdivn_x = ( e2u(ji ,jj) * fse3u(ji ,jj,jk) * u_trc_eiv(ji ,jj ,jk) & |
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291 | & - e2u(ji-1,jj) * fse3u(ji-1,jj,jk) * u_trc_eiv(ji-1,jj ,jk) ) * zbtr |
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292 | z_hdivn_y = ( e1v(ji, jj) * fse3v(ji,jj ,jk) * v_trc_eiv(ji, jj ,jk) & |
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293 | & - e1v(ji,jj-1) * fse3v(ji,jj-1,jk) * v_trc_eiv(ji ,jj-1,jk) ) * zbtr |
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294 | # else |
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295 | z_hdivn_x = 0.e0 ; z_hdivn_y = 0.e0 |
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296 | # endif |
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297 | !-- Compute the zonal advective trends associated with eiv |
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298 | ztrtrd_xei(ji,jj,jk) = zbtr * ( zftug(ji,jj) - zftug(ji-1,jj ) ) & |
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299 | & - trn(ji,jj,jk,jn) * z_hdivn_x |
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300 | |
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301 | !-- Compute the merid. advective trends associated with eiv |
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302 | ztrtrd_yei(ji,jj,jk) = zbtr * ( zftvg(ji,jj) - zftvg(ji ,jj-1) ) & |
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303 | & - trn(ji,jj,jk,jn) * z_hdivn_y |
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304 | |
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305 | END DO |
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306 | END DO |
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307 | ! ! =============== |
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308 | END DO ! End of slab |
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309 | ! ! =============== |
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310 | # else |
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311 | ztrtrd_xei(:,:,:) = 0.e0 |
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312 | ztrtrd_yei(:,:,:) = 0.e0 |
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313 | # endif |
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314 | ! 4.2) Substract the eddy induced velocity |
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315 | ztrtrd(:,:,:) = tra(:,:,:,jn) - ztrtrd(:,:,:) - ztrtrd_xei(:,:,:) - ztrtrd_yei(:,:,:) |
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316 | |
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317 | IF (luttrd(jn)) CALL trd_mod_trc( ztrtrd , jn, jptrc_trd_ldf, kt ) |
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318 | # if defined key_trcldf_eiv |
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319 | IF (luttrd(jn)) CALL trd_mod_trc( ztrtrd_xei, jn, jptrc_trd_xei, kt ) |
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320 | IF (luttrd(jn)) CALL trd_mod_trc( ztrtrd_yei, jn, jptrc_trd_yei, kt ) |
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321 | # endif |
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322 | |
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323 | ENDIF |
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324 | !CDIR END |
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325 | ! ! =========== |
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326 | END DO ! tracer loop |
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327 | ! ! =========== |
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328 | |
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329 | IF( ln_ctl ) THEN ! print mean trends (used for debugging) |
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330 | WRITE(charout, FMT="('ldf - iso/zps')") |
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331 | CALL prt_ctl_trc_info( charout ) |
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332 | CALL prt_ctl_trc( tab4d=tra, mask=tmask, clinfo=ctrcnm,clinfo2='trd' ) |
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333 | ENDIF |
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334 | |
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335 | END SUBROUTINE trc_ldf_iso_zps |
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336 | |
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337 | #else |
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338 | !!---------------------------------------------------------------------- |
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339 | !! default option : Dummy code NO rotation of the diffusive tensor |
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340 | !!---------------------------------------------------------------------- |
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341 | CONTAINS |
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342 | SUBROUTINE trc_ldf_iso_zps( kt ) ! Empty routine |
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343 | INTEGER, INTENT(in) :: kt |
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344 | WRITE(*,*) 'trc_ldf_iso_zps: You should not have seen this print! error?', kt |
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345 | END SUBROUTINE trc_ldf_iso_zps |
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346 | #endif |
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347 | |
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348 | !!============================================================================== |
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349 | END MODULE trcldf_iso_zps |
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