1 | MODULE traldf_iso |
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2 | !!====================================================================== |
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3 | !! *** MODULE traldf_iso *** |
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4 | !! Ocean active 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 ! 05-11 (G. Madec) merge traldf and trazdf :-) |
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10 | !!---------------------------------------------------------------------- |
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11 | #if defined key_ldfslp || defined key_esopa |
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12 | !!---------------------------------------------------------------------- |
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13 | !! 'key_ldfslp' slope of the lateral diffusive direction |
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14 | !!---------------------------------------------------------------------- |
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15 | !!---------------------------------------------------------------------- |
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16 | !! tra_ldf_iso : update the tracer trend with the horizontal |
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17 | !! component of a iso-neutral laplacian operator |
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18 | !! and with the vertical part of |
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19 | !! the isopycnal or geopotential s-coord. operator |
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20 | !!---------------------------------------------------------------------- |
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21 | USE oce ! ocean dynamics and active tracers |
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22 | USE dom_oce ! ocean space and time domain |
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23 | USE ldftra_oce ! ocean active tracers: lateral physics |
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24 | USE trdmod ! ocean active tracers trends |
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25 | USE trdmod_oce ! ocean variables trends |
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26 | USE zdf_oce ! ocean vertical physics |
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27 | USE in_out_manager ! I/O manager |
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28 | USE ldfslp ! iso-neutral slopes |
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29 | USE diaptr ! poleward transport diagnostics |
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30 | USE prtctl ! Print control |
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31 | |
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32 | IMPLICIT NONE |
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33 | PRIVATE |
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34 | |
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35 | PUBLIC tra_ldf_iso ! routine called by step.F90 |
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36 | |
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37 | !! * Substitutions |
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38 | # include "domzgr_substitute.h90" |
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39 | # include "ldftra_substitute.h90" |
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40 | # include "vectopt_loop_substitute.h90" |
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41 | !!---------------------------------------------------------------------- |
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42 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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43 | !! $Id$ |
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44 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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45 | !!---------------------------------------------------------------------- |
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46 | |
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47 | CONTAINS |
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48 | |
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49 | SUBROUTINE tra_ldf_iso( kt ) |
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50 | !!---------------------------------------------------------------------- |
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51 | !! *** ROUTINE tra_ldf_iso *** |
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52 | !! |
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53 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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54 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
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55 | !! add it to the general trend of tracer equation. |
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56 | !! |
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57 | !! ** Method : The horizontal component of the lateral diffusive trends |
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58 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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59 | !! tential surfaces to which an eddy induced advection can be added |
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60 | !! It is computed using before fields (forward in time) and isopyc- |
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61 | !! nal or geopotential slopes computed in routine ldfslp. |
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62 | !! |
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63 | !! 1st part : masked horizontal derivative of T & S ( di[ t ] ) |
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64 | !! ======== with partial cell update if ln_zps=T. |
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65 | !! |
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66 | !! 2nd part : horizontal fluxes of the lateral mixing operator |
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67 | !! ======== |
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68 | !! zftu = (aht+ahtb0) e2u*e3u/e1u di[ tb ] |
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69 | !! - aht e2u*uslp dk[ mi(mk(tb)) ] |
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70 | !! zftv = (aht+ahtb0) e1v*e3v/e2v dj[ tb ] |
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71 | !! - aht e2u*vslp dk[ mj(mk(tb)) ] |
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72 | !! take the horizontal divergence of the fluxes: |
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73 | !! difft = 1/(e1t*e2t*e3t) { di-1[ zftu ] + dj-1[ zftv ] } |
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74 | !! Add this trend to the general trend (ta,sa): |
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75 | !! ta = ta + difft |
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76 | !! |
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77 | !! 3rd part: vertical trends of the lateral mixing operator |
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78 | !! ======== (excluding the vertical flux proportional to dk[t] ) |
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79 | !! vertical fluxes associated with the rotated lateral mixing: |
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80 | !! zftw =-aht { e2t*wslpi di[ mi(mk(tb)) ] |
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81 | !! + e1t*wslpj dj[ mj(mk(tb)) ] } |
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82 | !! take the horizontal divergence of the fluxes: |
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83 | !! difft = 1/(e1t*e2t*e3t) dk[ zftw ] |
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84 | !! Add this trend to the general trend (ta,sa): |
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85 | !! ta = ta + difft |
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86 | !! |
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87 | !! ** Action : Update (ta,sa) arrays with the before rotated diffusion |
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88 | !! trend (except the dk[ dk[.] ] term) |
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89 | !!---------------------------------------------------------------------- |
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90 | USE oce , zftv => ua ! use ua as workspace |
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91 | USE oce , zfsv => va ! use va as workspace |
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92 | !! |
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93 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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94 | !! |
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95 | INTEGER :: ji, jj, jk ! dummy loop indices |
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96 | INTEGER :: iku, ikv ! temporary integer |
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97 | REAL(wp) :: zmsku, zabe1, zcof1, zcoef3, zta ! temporary scalars |
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98 | REAL(wp) :: zmskv, zabe2, zcof2, zcoef4, zsa ! " " |
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99 | REAL(wp) :: zcoef0, zbtr ! " " |
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100 | REAL(wp), DIMENSION(jpi,jpj) :: zdkt , zdk1t, zftu ! 2D workspace |
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101 | REAL(wp), DIMENSION(jpi,jpj) :: zdks , zdk1s, zfsu ! " " |
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102 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdit, zdjt, ztfw ! 3D workspace |
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103 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdis, zdjs, zsfw ! " " |
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104 | !!---------------------------------------------------------------------- |
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105 | |
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106 | IF( kt == nit000 ) THEN |
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107 | IF(lwp) WRITE(numout,*) |
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108 | IF(lwp) WRITE(numout,*) 'tra_ldf_iso : rotated laplacian diffusion operator' |
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109 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
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110 | ENDIF |
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111 | |
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112 | !!---------------------------------------------------------------------- |
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113 | !! I - masked horizontal derivative of T & S |
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114 | !!---------------------------------------------------------------------- |
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115 | !!bug ajout.... why? ( 1,jpj,:) and (jpi,1,:) should be sufficient.... |
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116 | zdit (1,:,:) = 0.e0 ; zdit (jpi,:,:) = 0.e0 |
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117 | zdis (1,:,:) = 0.e0 ; zdis (jpi,:,:) = 0.e0 |
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118 | zdjt (1,:,:) = 0.e0 ; zdjt (jpi,:,:) = 0.e0 |
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119 | zdjs (1,:,:) = 0.e0 ; zdjs (jpi,:,:) = 0.e0 |
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120 | !!end |
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121 | |
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122 | ! Horizontal temperature and salinity gradient |
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123 | DO jk = 1, jpkm1 |
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124 | DO jj = 1, jpjm1 |
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125 | DO ji = 1, fs_jpim1 ! vector opt. |
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126 | zdit(ji,jj,jk) = ( tb(ji+1,jj ,jk) - tb(ji,jj,jk) ) * umask(ji,jj,jk) |
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127 | zdis(ji,jj,jk) = ( sb(ji+1,jj ,jk) - sb(ji,jj,jk) ) * umask(ji,jj,jk) |
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128 | zdjt(ji,jj,jk) = ( tb(ji ,jj+1,jk) - tb(ji,jj,jk) ) * vmask(ji,jj,jk) |
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129 | zdjs(ji,jj,jk) = ( sb(ji ,jj+1,jk) - sb(ji,jj,jk) ) * vmask(ji,jj,jk) |
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130 | END DO |
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131 | END DO |
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132 | END DO |
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133 | IF( ln_zps ) THEN ! partial steps correction at the last level |
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134 | DO jj = 1, jpjm1 |
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135 | DO ji = 1, fs_jpim1 ! vector opt. |
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136 | ! last level |
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137 | iku = MIN( mbathy(ji,jj), mbathy(ji+1,jj ) ) - 1 |
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138 | ikv = MIN( mbathy(ji,jj), mbathy(ji ,jj+1) ) - 1 |
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139 | zdit(ji,jj,iku) = gtu(ji,jj) |
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140 | zdis(ji,jj,iku) = gsu(ji,jj) |
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141 | zdjt(ji,jj,ikv) = gtv(ji,jj) |
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142 | zdjs(ji,jj,ikv) = gsv(ji,jj) |
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143 | END DO |
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144 | END DO |
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145 | ENDIF |
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146 | |
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147 | !!---------------------------------------------------------------------- |
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148 | !! II - horizontal trend of T & S (full) |
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149 | !!---------------------------------------------------------------------- |
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150 | |
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151 | !CDIR PARALLEL DO PRIVATE( zdk1t, zdk1s, zftu, zfsu ) |
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152 | ! ! =============== |
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153 | DO jk = 1, jpkm1 ! Horizontal slab |
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154 | ! ! =============== |
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155 | ! 1. Vertical tracer gradient at level jk and jk+1 |
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156 | ! ------------------------------------------------ |
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157 | ! surface boundary condition: zdkt(jk=1)=zdkt(jk=2) |
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158 | |
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159 | zdk1t(:,:) = ( tb(:,:,jk) - tb(:,:,jk+1) ) * tmask(:,:,jk+1) |
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160 | zdk1s(:,:) = ( sb(:,:,jk) - sb(:,:,jk+1) ) * 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 | zdks(:,:) = zdk1s(:,:) |
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165 | ELSE |
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166 | zdkt(:,:) = ( tb(:,:,jk-1) - tb(:,:,jk) ) * tmask(:,:,jk) |
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167 | zdks(:,:) = ( sb(:,:,jk-1) - sb(:,:,jk) ) * tmask(:,:,jk) |
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168 | ENDIF |
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169 | |
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170 | |
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171 | ! 2. Horizontal fluxes |
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172 | ! -------------------- |
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173 | |
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174 | DO jj = 1 , jpjm1 |
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175 | DO ji = 1, fs_jpim1 ! vector opt. |
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176 | zabe1 = ( fsahtu(ji,jj,jk) + ahtb0 ) * e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) |
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177 | zabe2 = ( fsahtv(ji,jj,jk) + ahtb0 ) * e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) |
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178 | |
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179 | zmsku = 1. / MAX( tmask(ji+1,jj,jk ) + tmask(ji,jj,jk+1) & |
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180 | & + tmask(ji+1,jj,jk+1) + tmask(ji,jj,jk ), 1. ) |
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181 | |
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182 | zmskv = 1. / MAX( tmask(ji,jj+1,jk ) + tmask(ji,jj,jk+1) & |
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183 | & + tmask(ji,jj+1,jk+1) + tmask(ji,jj,jk ), 1. ) |
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184 | |
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185 | zcof1 = -fsahtu(ji,jj,jk) * e2u(ji,jj) * uslp(ji,jj,jk) * zmsku |
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186 | zcof2 = -fsahtv(ji,jj,jk) * e1v(ji,jj) * vslp(ji,jj,jk) * zmskv |
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187 | |
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188 | zftu(ji,jj ) = ( zabe1 * zdit(ji,jj,jk) & |
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189 | & + zcof1 * ( zdkt (ji+1,jj) + zdk1t(ji,jj) & |
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190 | & + zdk1t(ji+1,jj) + zdkt (ji,jj) ) ) * umask(ji,jj,jk) |
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191 | zftv(ji,jj,jk) = ( zabe2 * zdjt(ji,jj,jk) & |
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192 | & + zcof2 * ( zdkt (ji,jj+1) + zdk1t(ji,jj) & |
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193 | & + zdk1t(ji,jj+1) + zdkt (ji,jj) ) ) * vmask(ji,jj,jk) |
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194 | zfsu(ji,jj ) = ( zabe1 * zdis(ji,jj,jk) & |
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195 | & + zcof1 * ( zdks (ji+1,jj) + zdk1s(ji,jj) & |
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196 | & + zdk1s(ji+1,jj) + zdks (ji,jj) ) ) * umask(ji,jj,jk) |
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197 | zfsv(ji,jj,jk) = ( zabe2 * zdjs(ji,jj,jk) & |
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198 | & + zcof2 * ( zdks (ji,jj+1) + zdk1s(ji,jj) & |
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199 | & + zdk1s(ji,jj+1) + zdks (ji,jj) ) ) * vmask(ji,jj,jk) |
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200 | END DO |
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201 | END DO |
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202 | |
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203 | |
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204 | ! II.4 Second derivative (divergence) and add to the general trend |
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205 | ! ---------------------------------------------------------------- |
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206 | DO jj = 2 , jpjm1 |
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207 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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208 | zbtr= 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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209 | zta = zbtr * ( zftu(ji,jj ) - zftu(ji-1,jj ) + zftv(ji,jj,jk) - zftv(ji,jj-1,jk) ) |
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210 | zsa = zbtr * ( zfsu(ji,jj ) - zfsu(ji-1,jj ) + zfsv(ji,jj,jk) - zfsv(ji,jj-1,jk) ) |
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211 | ta (ji,jj,jk) = ta (ji,jj,jk) + zta |
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212 | sa (ji,jj,jk) = sa (ji,jj,jk) + zsa |
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213 | END DO |
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214 | END DO |
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215 | ! ! =============== |
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216 | END DO ! End of slab |
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217 | ! ! =============== |
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218 | |
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219 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN ! Poleward diffusive heat and salt transports |
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220 | pht_ldf(:) = ptr_vj( zftv(:,:,:) ) |
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221 | pst_ldf(:) = ptr_vj( zfsv(:,:,:) ) |
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222 | ENDIF |
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223 | |
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224 | !!---------------------------------------------------------------------- |
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225 | !! III - vertical trend of T & S (extra diagonal terms only) |
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226 | !!---------------------------------------------------------------------- |
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227 | |
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228 | ! Local constant initialization |
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229 | ! ----------------------------- |
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230 | ztfw(1,:,:) = 0.e0 ; ztfw(jpi,:,:) = 0.e0 |
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231 | zsfw(1,:,:) = 0.e0 ; zsfw(jpi,:,:) = 0.e0 |
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232 | |
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233 | |
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234 | ! Vertical fluxes |
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235 | ! --------------- |
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236 | |
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237 | ! Surface and bottom vertical fluxes set to zero |
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238 | ztfw(:,:, 1 ) = 0.e0 ; ztfw(:,:,jpk) = 0.e0 |
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239 | zsfw(:,:, 1 ) = 0.e0 ; zsfw(:,:,jpk) = 0.e0 |
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240 | |
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241 | ! interior (2=<jk=<jpk-1) |
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242 | DO jk = 2, jpkm1 |
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243 | DO jj = 2, jpjm1 |
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244 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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245 | zcoef0 = - fsahtw(ji,jj,jk) * tmask(ji,jj,jk) |
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246 | |
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247 | zmsku = 1./MAX( umask(ji ,jj,jk-1) + umask(ji-1,jj,jk) & |
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248 | & + umask(ji-1,jj,jk-1) + umask(ji ,jj,jk), 1. ) |
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249 | |
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250 | zmskv = 1./MAX( vmask(ji,jj ,jk-1) + vmask(ji,jj-1,jk) & |
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251 | & + vmask(ji,jj-1,jk-1) + vmask(ji,jj ,jk), 1. ) |
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252 | |
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253 | zcoef3 = zcoef0 * e2t(ji,jj) * zmsku * wslpi (ji,jj,jk) |
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254 | zcoef4 = zcoef0 * e1t(ji,jj) * zmskv * wslpj (ji,jj,jk) |
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255 | |
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256 | ztfw(ji,jj,jk) = zcoef3 * ( zdit(ji ,jj ,jk-1) + zdit(ji-1,jj ,jk) & |
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257 | & + zdit(ji-1,jj ,jk-1) + zdit(ji ,jj ,jk) ) & |
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258 | & + zcoef4 * ( zdjt(ji ,jj ,jk-1) + zdjt(ji ,jj-1,jk) & |
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259 | & + zdjt(ji ,jj-1,jk-1) + zdjt(ji ,jj ,jk) ) |
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260 | |
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261 | zsfw(ji,jj,jk) = zcoef3 * ( zdis(ji ,jj ,jk-1) + zdis(ji-1,jj ,jk) & |
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262 | & + zdis(ji-1,jj ,jk-1) + zdis(ji ,jj ,jk) ) & |
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263 | & + zcoef4 * ( zdjs(ji ,jj ,jk-1) + zdjs(ji ,jj-1,jk) & |
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264 | & + zdjs(ji ,jj-1,jk-1) + zdjs(ji ,jj ,jk) ) |
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265 | END DO |
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266 | END DO |
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267 | END DO |
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268 | |
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269 | |
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270 | ! I.5 Divergence of vertical fluxes added to the general tracer trend |
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271 | ! ------------------------------------------------------------------- |
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272 | |
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273 | DO jk = 1, jpkm1 |
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274 | DO jj = 2, jpjm1 |
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275 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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276 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
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277 | zta = ( ztfw(ji,jj,jk) - ztfw(ji,jj,jk+1) ) * zbtr |
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278 | zsa = ( zsfw(ji,jj,jk) - zsfw(ji,jj,jk+1) ) * zbtr |
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279 | ta(ji,jj,jk) = ta(ji,jj,jk) + zta |
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280 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsa |
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281 | END DO |
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282 | END DO |
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283 | END DO |
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284 | ! |
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285 | END SUBROUTINE tra_ldf_iso |
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286 | |
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287 | #else |
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288 | !!---------------------------------------------------------------------- |
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289 | !! default option : Dummy code NO rotation of the diffusive tensor |
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290 | !!---------------------------------------------------------------------- |
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291 | CONTAINS |
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292 | SUBROUTINE tra_ldf_iso( kt ) ! Empty routine |
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293 | WRITE(*,*) 'tra_ldf_iso: You should not have seen this print! error?', kt |
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294 | END SUBROUTINE tra_ldf_iso |
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295 | #endif |
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296 | |
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297 | !!============================================================================== |
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298 | END MODULE traldf_iso |
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