1 | MODULE trcldf_lap |
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2 | !!============================================================================== |
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3 | !! *** MODULE trcldf_lap *** |
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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 defined key_passivetrc |
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7 | !!---------------------------------------------------------------------- |
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8 | !! trc_ldf_lap : update the tracer trend with the horizontal diffusion |
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9 | !! using a iso-level harmonic (laplacien) operator. |
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10 | !!---------------------------------------------------------------------- |
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11 | !! * Modules used |
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12 | USE oce_trc ! ocean dynamics and active tracers variables |
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13 | USE trc ! ocean passive tracers variables |
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14 | |
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15 | IMPLICIT NONE |
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16 | PRIVATE |
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17 | |
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18 | !! * Routine accessibility |
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19 | PUBLIC trc_ldf_lap ! routine called by step.F90 |
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20 | |
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21 | !! * Substitutions |
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22 | # include "passivetrc_substitute.h90" |
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23 | !!---------------------------------------------------------------------- |
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24 | !! OPA 9.0 , LODYC-IPSL (2003) |
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25 | !!---------------------------------------------------------------------- |
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26 | |
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27 | CONTAINS |
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28 | |
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29 | SUBROUTINE trc_ldf_lap( kt ) |
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30 | !!---------------------------------------------------------------------- |
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31 | !! *** ROUTINE trc_ldf_lap *** |
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32 | !! |
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33 | !! ** Purpose : Compute the before horizontal tracer diffusive |
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34 | !! trend and add it to the general trend of tracer equation. |
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35 | !! |
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36 | !! ** Method : Second order diffusive operator evaluated using before |
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37 | !! fields (forward time scheme). The horizontal diffusive trends of |
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38 | !! the passive tracer is given by: |
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39 | !! * s-coordinate ('key_s_coord' defined), the vertical scale |
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40 | !! factors e3. are inside the derivatives: |
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41 | !! difft = 1/(e1t*e2t*e3t) { di-1[ aht e2u*e3u/e1u di(trb) ] |
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42 | !! + dj-1[ aht e1v*e3v/e2v dj(trb) ] } |
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43 | !! * z-coordinate (default key), e3t=e3u=e3v, the trend becomes: |
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44 | !! difft = 1/(e1t*e2t) { di-1[ aht e2u/e1u di(trb) ] |
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45 | !! + dj-1[ aht e1v/e2v dj(trb) ] } |
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46 | !! Add this trend to the general tracer trend tra : |
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47 | !! tra = tra + difft |
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48 | !! |
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49 | !! ** Action : - Update tra arrays with the before iso-level |
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50 | !! harmonic mixing trend. |
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51 | !! - Save the trends in trtrd ('key_trc_diatrd') |
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52 | !! |
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53 | !! History : |
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54 | !! 1.0 ! 87-06 (P. Andrich, D. L Hostis) Original code |
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55 | !! ! 91-11 (G. Madec) |
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56 | !! ! 95-02 (M. Levy) passive tracers |
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57 | !! ! 95-11 (G. Madec) suppress volumetric scale factors |
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58 | !! ! 96-01 (G. Madec) statement function for e3 |
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59 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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60 | !! 9.0 ! 04-03 (C. Ethe) passive tracer |
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61 | !!---------------------------------------------------------------------- |
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62 | USE oce_trc , ztu => ua, & ! use ua as workspace |
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63 | & ztv => va ! use va as workspace |
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64 | |
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65 | !! * Arguments |
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66 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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67 | |
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68 | !! * Local save |
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69 | REAL(wp), DIMENSION(jpi,jpj), SAVE :: & |
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70 | ze1ur, ze2vr, zbtr2 ! scale factor coefficients |
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71 | |
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72 | !! * Local declarations |
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73 | INTEGER :: ji, jj, jk,jn ! dummy loop indices |
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74 | REAL(wp) :: & |
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75 | zabe1, zabe2, zbtr ! temporary scalars |
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76 | |
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77 | REAL(wp) :: & |
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78 | ztra, ztrax, ztray ! workspace |
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79 | !!---------------------------------------------------------------------- |
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80 | |
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81 | IF( kt == nittrc000 ) THEN |
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82 | IF(lwp) WRITE(numout,*) |
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83 | IF(lwp) WRITE(numout,*) 'trc_ldf_lap : iso-level laplacian diffusion' |
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84 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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85 | ze1ur(:,:) = e2u(:,:) / e1u(:,:) |
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86 | ze2vr(:,:) = e1v(:,:) / e2v(:,:) |
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87 | zbtr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) |
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88 | ENDIF |
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89 | |
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90 | DO jn = 1, jptra |
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91 | |
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92 | ! ! ============= |
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93 | DO jk = 1, jpkm1 ! Vertical slab |
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94 | ! ! ============= |
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95 | ! 1. First derivative (gradient) |
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96 | ! ------------------- |
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97 | DO jj = 1, jpjm1 |
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98 | DO ji = 1, fs_jpim1 ! vector opt. |
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99 | #if defined key_s_coord |
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100 | zabe1 = fsahtru(ji,jj,jk) * umask(ji,jj,jk) * ze1ur(ji,jj) * fse3u(ji,jj,jk) |
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101 | zabe2 = fsahtrv(ji,jj,jk) * vmask(ji,jj,jk) * ze2vr(ji,jj) * fse3v(ji,jj,jk) |
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102 | #else |
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103 | zabe1 = fsahtru(ji,jj,jk) * umask(ji,jj,jk) * ze1ur(ji,jj) |
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104 | zabe2 = fsahtrv(ji,jj,jk) * vmask(ji,jj,jk) * ze2vr(ji,jj) |
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105 | #endif |
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106 | ztu(ji,jj,jk) = zabe1 * ( trb(ji+1,jj ,jk,jn) - trb(ji,jj,jk,jn) ) |
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107 | ztv(ji,jj,jk) = zabe2 * ( trb(ji ,jj+1,jk,jn) - trb(ji,jj,jk,jn) ) |
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108 | END DO |
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109 | END DO |
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110 | |
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111 | |
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112 | ! 2. Second derivative (divergence) |
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113 | ! -------------------- |
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114 | DO jj = 2, jpjm1 |
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115 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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116 | #if defined key_s_coord |
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117 | zbtr = zbtr2(ji,jj) / fse3t(ji,jj,jk) |
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118 | #else |
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119 | zbtr = zbtr2(ji,jj) |
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120 | #endif |
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121 | ! horizontal diffusive trends |
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122 | ztrax = zbtr * ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) |
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123 | ztray = zbtr * ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) |
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124 | |
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125 | ! add it to the general tracer trends |
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126 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztrax + ztray |
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127 | |
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128 | #if defined key_trc_diatrd |
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129 | ! save the horizontal diffusive trends |
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130 | trtrd(ji,jj,jk,jn,4) = ztrax |
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131 | trtrd(ji,jj,jk,jn,5) = ztray |
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132 | #endif |
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133 | END DO |
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134 | END DO |
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135 | ! ! ============= |
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136 | END DO ! End of slab |
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137 | ! ! ============= |
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138 | |
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139 | IF(l_ctl) THEN ! print mean trends (used for debugging) |
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140 | ztra = SUM( tra(2:nictl,2:njctl,1:jpkm1,jn) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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141 | WRITE(numout,*) ' trc/ldf - ',ctrcnm(jn),' : ', ztra-tra_ctl(jn) |
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142 | tra_ctl(jn) = ztra |
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143 | ENDIF |
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144 | |
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145 | END DO |
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146 | |
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147 | END SUBROUTINE trc_ldf_lap |
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148 | |
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149 | #else |
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150 | !!---------------------------------------------------------------------- |
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151 | !! Default option Empty module |
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152 | !!---------------------------------------------------------------------- |
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153 | CONTAINS |
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154 | SUBROUTINE trc_ldf_lap( kt ) |
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155 | INTEGER, INTENT(in) :: kt |
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156 | WRITE(*,*) 'trc_ldf_lap: You should not have seen this print! error?', kt |
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157 | END SUBROUTINE trc_ldf_lap |
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158 | #endif |
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159 | |
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160 | !!============================================================================== |
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161 | END MODULE trcldf_lap |
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