1 | MODULE traldf_triad |
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2 | !!====================================================================== |
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3 | !! *** MODULE traldf_triad *** |
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4 | !! Ocean tracers: horizontal component of the lateral tracer mixing trend |
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5 | !!====================================================================== |
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6 | !! History : 3.3 ! 2010-10 (G. Nurser, C. Harris, G. Madec) Griffies operator (original code) |
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7 | !! 3.7 ! 2013-12 (F. Lemarie, G. Madec) triad operator (Griffies) + Method of Stabilizing Correction |
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8 | !!---------------------------------------------------------------------- |
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9 | |
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10 | !!---------------------------------------------------------------------- |
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11 | !! tra_ldf_triad : update the tracer trend with the iso-neutral laplacian triad-operator |
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12 | !!---------------------------------------------------------------------- |
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13 | USE oce ! ocean dynamics and active tracers |
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14 | USE dom_oce ! ocean space and time domain |
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15 | ! TEMP: [tiling] This change not necessary if XIOS has subdomain support |
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16 | USE domtile |
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17 | USE domutl, ONLY : is_tile |
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18 | USE phycst ! physical constants |
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19 | USE trc_oce ! share passive tracers/Ocean variables |
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20 | USE zdf_oce ! ocean vertical physics |
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21 | USE ldftra ! lateral physics: eddy diffusivity |
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22 | USE ldfslp ! lateral physics: iso-neutral slopes |
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23 | USE traldf_iso ! lateral diffusion (Madec operator) (tra_ldf_iso routine) |
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24 | USE diaptr ! poleward transport diagnostics |
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25 | USE diaar5 ! AR5 diagnostics |
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26 | USE zpshde ! partial step: hor. derivative (zps_hde routine) |
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27 | ! |
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28 | USE in_out_manager ! I/O manager |
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29 | USE iom ! I/O library |
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30 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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31 | USE lib_mpp ! MPP library |
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32 | |
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33 | IMPLICIT NONE |
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34 | PRIVATE |
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35 | |
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36 | PUBLIC tra_ldf_triad ! routine called by traldf.F90 |
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37 | |
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38 | LOGICAL :: l_ptr ! flag to compute poleward transport |
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39 | LOGICAL :: l_hst ! flag to compute heat transport |
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40 | |
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41 | |
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42 | !! * Substitutions |
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43 | # include "do_loop_substitute.h90" |
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44 | # include "domzgr_substitute.h90" |
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45 | !!---------------------------------------------------------------------- |
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46 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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47 | !! $Id$ |
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48 | !! Software governed by the CeCILL license (see ./LICENSE) |
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49 | !!---------------------------------------------------------------------- |
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50 | CONTAINS |
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51 | |
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52 | SUBROUTINE tra_ldf_triad( kt, Kmm, kit000, cdtype, pahu, pahv, & |
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53 | & pgu , pgv , pgui, pgvi, & |
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54 | & pt, pt2, pt_rhs, kjpt, kpass ) |
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55 | !! |
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56 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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57 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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58 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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59 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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60 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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61 | INTEGER , INTENT(in ) :: Kmm ! ocean time level indices |
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62 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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63 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pgu , pgv ! tracer gradient at pstep levels |
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64 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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65 | REAL(wp), DIMENSION(:,:,:,:), INTENT(in ) :: pt ! tracer (kpass=1) or laplacian of tracer (kpass=2) |
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66 | REAL(wp), DIMENSION(:,:,:,:), INTENT(in ) :: pt2 ! tracer (only used in kpass=2) |
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67 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pt_rhs ! tracer trend |
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68 | !! |
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69 | CALL tra_ldf_triad_t( kt, Kmm, kit000, cdtype, pahu, pahv, is_tile(pahu), & |
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70 | & pgu , pgv , is_tile(pgu) , pgui, pgvi, is_tile(pgui), & |
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71 | & pt, is_tile(pt), pt2, is_tile(pt2), pt_rhs, is_tile(pt_rhs), kjpt, kpass ) |
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72 | END SUBROUTINE tra_ldf_triad |
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73 | |
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74 | |
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75 | SUBROUTINE tra_ldf_triad_t( kt, Kmm, kit000, cdtype, pahu, pahv, ktah, & |
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76 | & pgu , pgv , ktg , pgui, pgvi, ktgi, & |
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77 | & pt, ktt, pt2, ktt2, pt_rhs, ktt_rhs, kjpt, kpass ) |
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78 | !!---------------------------------------------------------------------- |
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79 | !! *** ROUTINE tra_ldf_triad *** |
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80 | !! |
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81 | !! ** Purpose : Compute the before horizontal tracer (t & s) diffusive |
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82 | !! trend for a laplacian tensor (ezxcept the dz[ dz[.] ] term) and |
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83 | !! add it to the general trend of tracer equation. |
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84 | !! |
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85 | !! ** Method : The horizontal component of the lateral diffusive trends |
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86 | !! is provided by a 2nd order operator rotated along neural or geopo- |
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87 | !! tential surfaces to which an eddy induced advection can be added |
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88 | !! It is computed using before fields (forward in time) and isopyc- |
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89 | !! nal or geopotential slopes computed in routine ldfslp. |
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90 | !! |
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91 | !! see documentation for the desciption |
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92 | !! |
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93 | !! ** Action : pt_rhs updated with the before rotated diffusion |
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94 | !! ah_wslp2 .... |
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95 | !! akz stabilizing vertical diffusivity coefficient (used in trazdf_imp) |
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96 | !!---------------------------------------------------------------------- |
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97 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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98 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
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99 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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100 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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101 | INTEGER , INTENT(in ) :: kpass ! =1/2 first or second passage |
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102 | INTEGER , INTENT(in) :: Kmm ! ocean time level indices |
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103 | INTEGER , INTENT(in ) :: ktah, ktg, ktgi, ktt, ktt2, ktt_rhs |
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104 | REAL(wp), DIMENSION(A2D_T(ktah), JPK) , INTENT(in ) :: pahu, pahv ! eddy diffusivity at u- and v-points [m2/s] |
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105 | REAL(wp), DIMENSION(A2D_T(ktg), KJPT), INTENT(in ) :: pgu , pgv ! tracer gradient at pstep levels |
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106 | REAL(wp), DIMENSION(A2D_T(ktgi), KJPT), INTENT(in ) :: pgui, pgvi ! tracer gradient at top levels |
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107 | REAL(wp), DIMENSION(A2D_T(ktt), JPK,KJPT), INTENT(in ) :: pt ! tracer (kpass=1) or laplacian of tracer (kpass=2) |
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108 | REAL(wp), DIMENSION(A2D_T(ktt2), JPK,KJPT), INTENT(in ) :: pt2 ! tracer (only used in kpass=2) |
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109 | REAL(wp), DIMENSION(A2D_T(ktt_rhs),JPK,KJPT), INTENT(inout) :: pt_rhs ! tracer trend |
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110 | ! |
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111 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
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112 | INTEGER :: ip,jp,kp ! dummy loop indices |
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113 | INTEGER :: ierr ! local integer |
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114 | REAL(wp) :: zmsku, zabe1, zcof1, zcoef3 ! local scalars |
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115 | REAL(wp) :: zmskv, zabe2, zcof2, zcoef4 ! - - |
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116 | REAL(wp) :: zcoef0, ze3w_2, zsign ! - - |
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117 | ! |
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118 | REAL(wp) :: zslope_skew, zslope_iso, zslope2, zbu, zbv |
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119 | REAL(wp) :: ze1ur, ze2vr, ze3wr, zdxt, zdyt, zdzt |
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120 | REAL(wp) :: zah, zah_slp, zaei_slp |
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121 | REAL(wp), DIMENSION(A2D(nn_hls),0:1) :: zdkt3d ! vertical tracer gradient at 2 levels |
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122 | REAL(wp), DIMENSION(A2D(nn_hls) ) :: z2d ! 2D workspace |
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123 | REAL(wp), DIMENSION(A2D(nn_hls) ,jpk) :: zdit, zdjt, zftu, zftv, ztfw ! 3D - |
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124 | ! TEMP: [tiling] This can be A2D(nn_hls) if XIOS has subdomain support |
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125 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zpsi_uw, zpsi_vw |
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126 | !!---------------------------------------------------------------------- |
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127 | ! |
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128 | IF( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
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129 | IF( kpass == 1 .AND. kt == kit000 ) THEN |
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130 | IF(lwp) WRITE(numout,*) |
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131 | IF(lwp) WRITE(numout,*) 'tra_ldf_triad : rotated laplacian diffusion operator on ', cdtype |
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132 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~' |
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133 | ENDIF |
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134 | ! |
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135 | l_hst = .FALSE. |
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136 | l_ptr = .FALSE. |
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137 | IF( cdtype == 'TRA' ) THEN |
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138 | IF( iom_use( 'sophtldf' ) .OR. iom_use( 'sopstldf') ) l_ptr = .TRUE. |
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139 | IF( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
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140 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) l_hst = .TRUE. |
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141 | ENDIF |
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142 | ENDIF |
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143 | ! |
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144 | IF( kpass == 1 ) THEN ; zsign = 1._wp ! bilaplacian operator require a minus sign (eddy diffusivity >0) |
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145 | ELSE ; zsign = -1._wp |
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146 | ENDIF |
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147 | ! |
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148 | !!---------------------------------------------------------------------- |
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149 | !! 0 - calculate ah_wslp2, akz, and optionally zpsi_uw, zpsi_vw |
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150 | !!---------------------------------------------------------------------- |
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151 | ! |
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152 | IF( kpass == 1 ) THEN !== first pass only and whatever the tracer is ==! |
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153 | ! |
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154 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
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155 | akz (ji,jj,jk) = 0._wp |
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156 | ah_wslp2(ji,jj,jk) = 0._wp |
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157 | END_3D |
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158 | ! |
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159 | DO ip = 0, 1 ! i-k triads |
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160 | DO kp = 0, 1 |
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161 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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162 | ze3wr = 1._wp / e3w(ji,jj,jk+kp,Kmm) |
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163 | zbu = e1e2u(ji-ip,jj) * e3u(ji-ip,jj,jk,Kmm) |
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164 | zah = 0.25_wp * pahu(ji-ip,jj,jk) |
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165 | zslope_skew = triadi_g(ji,jj,jk,1-ip,kp) |
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166 | ! Subtract s-coordinate slope at t-points to give slope rel to s-surfaces (do this by *adding* gradient of depth) |
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167 | zslope2 = zslope_skew + ( gdept(ji-ip+1,jj,jk,Kmm) - gdept(ji-ip,jj,jk,Kmm) ) * r1_e1u(ji-ip,jj) * umask(ji-ip,jj,jk+kp) |
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168 | zslope2 = zslope2 *zslope2 |
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169 | ah_wslp2(ji,jj,jk+kp) = ah_wslp2(ji,jj,jk+kp) + zah * zbu * ze3wr * r1_e1e2t(ji,jj) * zslope2 |
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170 | akz (ji,jj,jk+kp) = akz (ji,jj,jk+kp) + zah * r1_e1u(ji-ip,jj) & |
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171 | & * r1_e1u(ji-ip,jj) * umask(ji-ip,jj,jk+kp) |
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172 | ! |
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173 | END_3D |
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174 | END DO |
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175 | END DO |
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176 | ! |
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177 | DO jp = 0, 1 ! j-k triads |
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178 | DO kp = 0, 1 |
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179 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
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180 | ze3wr = 1.0_wp / e3w(ji,jj,jk+kp,Kmm) |
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181 | zbv = e1e2v(ji,jj-jp) * e3v(ji,jj-jp,jk,Kmm) |
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182 | zah = 0.25_wp * pahv(ji,jj-jp,jk) |
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183 | zslope_skew = triadj_g(ji,jj,jk,1-jp,kp) |
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184 | ! Subtract s-coordinate slope at t-points to give slope rel to s surfaces |
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185 | ! (do this by *adding* gradient of depth) |
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186 | zslope2 = zslope_skew + ( gdept(ji,jj-jp+1,jk,Kmm) - gdept(ji,jj-jp,jk,Kmm) ) * r1_e2v(ji,jj-jp) * vmask(ji,jj-jp,jk+kp) |
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187 | zslope2 = zslope2 * zslope2 |
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188 | ah_wslp2(ji,jj,jk+kp) = ah_wslp2(ji,jj,jk+kp) + zah * zbv * ze3wr * r1_e1e2t(ji,jj) * zslope2 |
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189 | akz (ji,jj,jk+kp) = akz (ji,jj,jk+kp) + zah * r1_e2v(ji,jj-jp) & |
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190 | & * r1_e2v(ji,jj-jp) * vmask(ji,jj-jp,jk+kp) |
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191 | ! |
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192 | END_3D |
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193 | END DO |
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194 | END DO |
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195 | ! |
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196 | IF( ln_traldf_msc ) THEN ! stabilizing vertical diffusivity coefficient |
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197 | ! |
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198 | IF( ln_traldf_blp ) THEN ! bilaplacian operator |
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199 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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200 | akz(ji,jj,jk) = 16._wp & |
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201 | & * ah_wslp2 (ji,jj,jk) & |
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202 | & * ( akz (ji,jj,jk) & |
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203 | & + ah_wslp2(ji,jj,jk) & |
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204 | & / ( e3w (ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) ) ) |
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205 | END_3D |
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206 | ELSEIF( ln_traldf_lap ) THEN ! laplacian operator |
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207 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
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208 | ze3w_2 = e3w(ji,jj,jk,Kmm) * e3w(ji,jj,jk,Kmm) |
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209 | zcoef0 = rDt * ( akz(ji,jj,jk) + ah_wslp2(ji,jj,jk) / ze3w_2 ) |
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210 | akz(ji,jj,jk) = MAX( zcoef0 - 0.5_wp , 0._wp ) * ze3w_2 * r1_Dt |
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211 | END_3D |
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212 | ENDIF |
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213 | ! |
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214 | ELSE ! 33 flux set to zero with akz=ah_wslp2 ==>> computed in full implicit |
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215 | DO_3D( 0, 0, 0, 0, 1, jpk ) |
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216 | akz(ji,jj,jk) = ah_wslp2(ji,jj,jk) |
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217 | END_3D |
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218 | ENDIF |
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219 | ! |
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220 | ! TEMP: [tiling] These changes not necessary if XIOS has subdomain support |
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221 | IF( ntile == 0 .OR. ntile == nijtile ) THEN ! Do only for the full domain |
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222 | IF( ln_ldfeiv_dia .AND. cdtype == 'TRA' ) THEN |
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223 | IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile = 0 ) |
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224 | |
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225 | zpsi_uw(:,:,:) = 0._wp |
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226 | zpsi_vw(:,:,:) = 0._wp |
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227 | |
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228 | DO jp = 0, 1 |
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229 | DO kp = 0, 1 |
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230 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
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231 | zpsi_uw(ji,jj,jk+kp) = zpsi_uw(ji,jj,jk+kp) & |
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232 | & + 0.25_wp * aeiu(ji,jj,jk) * e2u(ji,jj) * triadi_g(ji+jp,jj,jk,1-jp,kp) |
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233 | zpsi_vw(ji,jj,jk+kp) = zpsi_vw(ji,jj,jk+kp) & |
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234 | & + 0.25_wp * aeiv(ji,jj,jk) * e1v(ji,jj) * triadj_g(ji,jj+jp,jk,1-jp,kp) |
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235 | END_3D |
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236 | END DO |
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237 | END DO |
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238 | CALL ldf_eiv_dia( zpsi_uw, zpsi_vw, Kmm ) |
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239 | |
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240 | IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile = nijtile ) |
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241 | ENDIF |
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242 | ENDIF |
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243 | ! |
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244 | ENDIF !== end 1st pass only ==! |
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245 | ! |
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246 | ! ! =========== |
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247 | DO jn = 1, kjpt ! tracer loop |
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248 | ! ! =========== |
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249 | ! Zero fluxes for each tracer |
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250 | !!gm this should probably be done outside the jn loop |
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251 | ztfw(:,:,:) = 0._wp |
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252 | zftu(:,:,:) = 0._wp |
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253 | zftv(:,:,:) = 0._wp |
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254 | ! |
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255 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) !== before lateral T & S gradients at T-level jk ==! |
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256 | zdit(ji,jj,jk) = ( pt(ji+1,jj ,jk,jn) - pt(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
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257 | zdjt(ji,jj,jk) = ( pt(ji ,jj+1,jk,jn) - pt(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
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258 | END_3D |
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259 | IF( ln_zps .AND. l_grad_zps ) THEN ! partial steps: correction at top/bottom ocean level |
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260 | DO_2D( 1, 0, 1, 0 ) ! bottom level |
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261 | zdit(ji,jj,mbku(ji,jj)) = pgu(ji,jj,jn) |
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262 | zdjt(ji,jj,mbkv(ji,jj)) = pgv(ji,jj,jn) |
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263 | END_2D |
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264 | IF( ln_isfcav ) THEN ! top level (ocean cavities only) |
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265 | DO_2D( 1, 0, 1, 0 ) |
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266 | IF( miku(ji,jj) > 1 ) zdit(ji,jj,miku(ji,jj) ) = pgui(ji,jj,jn) |
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267 | IF( mikv(ji,jj) > 1 ) zdjt(ji,jj,mikv(ji,jj) ) = pgvi(ji,jj,jn) |
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268 | END_2D |
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269 | ENDIF |
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270 | ENDIF |
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271 | ! |
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272 | !!---------------------------------------------------------------------- |
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273 | !! II - horizontal trend (full) |
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274 | !!---------------------------------------------------------------------- |
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275 | ! |
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276 | DO jk = 1, jpkm1 |
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277 | ! !== Vertical tracer gradient at level jk and jk+1 |
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278 | DO_2D( 1, 1, 1, 1 ) |
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279 | zdkt3d(ji,jj,1) = ( pt(ji,jj,jk,jn) - pt(ji,jj,jk+1,jn) ) * tmask(ji,jj,jk+1) |
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280 | END_2D |
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281 | ! |
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282 | ! ! surface boundary condition: zdkt3d(jk=0)=zdkt3d(jk=1) |
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283 | IF( jk == 1 ) THEN ; zdkt3d(:,:,0) = zdkt3d(:,:,1) |
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284 | ELSE |
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285 | DO_2D( 1, 1, 1, 1 ) |
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286 | zdkt3d(ji,jj,0) = ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) * tmask(ji,jj,jk) |
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287 | END_2D |
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288 | ENDIF |
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289 | ! |
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290 | zaei_slp = 0._wp |
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291 | ! |
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292 | IF( ln_botmix_triad ) THEN |
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293 | DO ip = 0, 1 !== Horizontal & vertical fluxes |
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294 | DO kp = 0, 1 |
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295 | DO_2D( 1, 0, 1, 0 ) |
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296 | ze1ur = r1_e1u(ji,jj) |
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297 | zdxt = zdit(ji,jj,jk) * ze1ur |
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298 | ze3wr = 1._wp / e3w(ji+ip,jj,jk+kp,Kmm) |
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299 | zdzt = zdkt3d(ji+ip,jj,kp) * ze3wr |
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300 | zslope_skew = triadi_g(ji+ip,jj,jk,1-ip,kp) |
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301 | zslope_iso = triadi (ji+ip,jj,jk,1-ip,kp) |
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302 | ! |
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303 | zbu = 0.25_wp * e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
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304 | ! ln_botmix_triad is .T. don't mask zah for bottom half cells !!gm ????? ahu is masked.... |
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305 | zah = pahu(ji,jj,jk) |
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306 | zah_slp = zah * zslope_iso |
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307 | IF( ln_ldfeiv ) zaei_slp = aeiu(ji,jj,jk) * zslope_skew |
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308 | zftu(ji ,jj,jk ) = zftu(ji ,jj,jk ) - ( zah * zdxt + (zah_slp - zaei_slp) * zdzt ) * zbu * ze1ur |
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309 | ztfw(ji+ip,jj,jk+kp) = ztfw(ji+ip,jj,jk+kp) - ( zah_slp + zaei_slp) * zdxt * zbu * ze3wr |
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310 | END_2D |
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311 | END DO |
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312 | END DO |
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313 | ! |
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314 | DO jp = 0, 1 |
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315 | DO kp = 0, 1 |
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316 | DO_2D( 1, 0, 1, 0 ) |
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317 | ze2vr = r1_e2v(ji,jj) |
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318 | zdyt = zdjt(ji,jj,jk) * ze2vr |
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319 | ze3wr = 1._wp / e3w(ji,jj+jp,jk+kp,Kmm) |
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320 | zdzt = zdkt3d(ji,jj+jp,kp) * ze3wr |
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321 | zslope_skew = triadj_g(ji,jj+jp,jk,1-jp,kp) |
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322 | zslope_iso = triadj(ji,jj+jp,jk,1-jp,kp) |
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323 | zbv = 0.25_wp * e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
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324 | ! ln_botmix_triad is .T. don't mask zah for bottom half cells !!gm ????? ahv is masked... |
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325 | zah = pahv(ji,jj,jk) |
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326 | zah_slp = zah * zslope_iso |
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327 | IF( ln_ldfeiv ) zaei_slp = aeiv(ji,jj,jk) * zslope_skew |
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328 | zftv(ji,jj ,jk ) = zftv(ji,jj ,jk ) - ( zah * zdyt + (zah_slp - zaei_slp) * zdzt ) * zbv * ze2vr |
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329 | ztfw(ji,jj+jp,jk+kp) = ztfw(ji,jj+jp,jk+kp) - ( zah_slp + zaei_slp ) * zdyt * zbv * ze3wr |
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330 | END_2D |
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331 | END DO |
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332 | END DO |
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333 | ! |
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334 | ELSE |
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335 | ! |
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336 | DO ip = 0, 1 !== Horizontal & vertical fluxes |
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337 | DO kp = 0, 1 |
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338 | DO_2D( 1, 0, 1, 0 ) |
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339 | ze1ur = r1_e1u(ji,jj) |
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340 | zdxt = zdit(ji,jj,jk) * ze1ur |
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341 | ze3wr = 1._wp / e3w(ji+ip,jj,jk+kp,Kmm) |
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342 | zdzt = zdkt3d(ji+ip,jj,kp) * ze3wr |
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343 | zslope_skew = triadi_g(ji+ip,jj,jk,1-ip,kp) |
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344 | zslope_iso = triadi(ji+ip,jj,jk,1-ip,kp) |
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345 | ! |
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346 | zbu = 0.25_wp * e1e2u(ji,jj) * e3u(ji,jj,jk,Kmm) |
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347 | ! ln_botmix_triad is .F. mask zah for bottom half cells |
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348 | zah = pahu(ji,jj,jk) * umask(ji,jj,jk+kp) ! pahu(ji+ip,jj,jk) ===>> ???? |
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349 | zah_slp = zah * zslope_iso |
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350 | IF( ln_ldfeiv ) zaei_slp = aeiu(ji,jj,jk) * zslope_skew ! aeit(ji+ip,jj,jk)*zslope_skew |
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351 | zftu(ji ,jj,jk ) = zftu(ji ,jj,jk ) - ( zah * zdxt + (zah_slp - zaei_slp) * zdzt ) * zbu * ze1ur |
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352 | ztfw(ji+ip,jj,jk+kp) = ztfw(ji+ip,jj,jk+kp) - (zah_slp + zaei_slp) * zdxt * zbu * ze3wr |
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353 | END_2D |
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354 | END DO |
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355 | END DO |
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356 | ! |
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357 | DO jp = 0, 1 |
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358 | DO kp = 0, 1 |
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359 | DO_2D( 1, 0, 1, 0 ) |
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360 | ze2vr = r1_e2v(ji,jj) |
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361 | zdyt = zdjt(ji,jj,jk) * ze2vr |
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362 | ze3wr = 1._wp / e3w(ji,jj+jp,jk+kp,Kmm) |
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363 | zdzt = zdkt3d(ji,jj+jp,kp) * ze3wr |
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364 | zslope_skew = triadj_g(ji,jj+jp,jk,1-jp,kp) |
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365 | zslope_iso = triadj(ji,jj+jp,jk,1-jp,kp) |
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366 | zbv = 0.25_wp * e1e2v(ji,jj) * e3v(ji,jj,jk,Kmm) |
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367 | ! ln_botmix_triad is .F. mask zah for bottom half cells |
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368 | zah = pahv(ji,jj,jk) * vmask(ji,jj,jk+kp) ! pahv(ji,jj+jp,jk) ???? |
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369 | zah_slp = zah * zslope_iso |
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370 | IF( ln_ldfeiv ) zaei_slp = aeiv(ji,jj,jk) * zslope_skew ! aeit(ji,jj+jp,jk)*zslope_skew |
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371 | zftv(ji,jj,jk) = zftv(ji,jj,jk) - ( zah * zdyt + (zah_slp - zaei_slp) * zdzt ) * zbv * ze2vr |
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372 | ztfw(ji,jj+jp,jk+kp) = ztfw(ji,jj+jp,jk+kp) - (zah_slp + zaei_slp) * zdyt * zbv * ze3wr |
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373 | END_2D |
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374 | END DO |
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375 | END DO |
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376 | ENDIF |
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377 | ! !== horizontal divergence and add to the general trend ==! |
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378 | DO_2D( 0, 0, 0, 0 ) |
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379 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) & |
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380 | & + zsign * ( zftu(ji-1,jj ,jk) - zftu(ji,jj,jk) & |
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381 | & + zftv(ji,jj-1,jk) - zftv(ji,jj,jk) ) & |
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382 | & / ( e1e2t(ji,jj) * e3t(ji,jj,jk,Kmm) ) |
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383 | END_2D |
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384 | ! |
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385 | END DO |
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386 | ! |
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387 | ! !== add the vertical 33 flux ==! |
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388 | IF( ln_traldf_lap ) THEN ! laplacian case: eddy coef = ah_wslp2 - akz |
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389 | DO_3D( 0, 0, 1, 0, 2, jpkm1 ) |
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390 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
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391 | & * ( ah_wslp2(ji,jj,jk) - akz(ji,jj,jk) ) & |
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392 | & * ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) |
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393 | END_3D |
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394 | ELSE ! bilaplacian |
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395 | SELECT CASE( kpass ) |
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396 | CASE( 1 ) ! 1st pass : eddy coef = ah_wslp2 |
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397 | DO_3D( 0, 0, 1, 0, 2, jpkm1 ) |
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398 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
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399 | & * ah_wslp2(ji,jj,jk) * ( pt(ji,jj,jk-1,jn) - pt(ji,jj,jk,jn) ) |
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400 | END_3D |
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401 | CASE( 2 ) ! 2nd pass : eddy flux = ah_wslp2 and akz applied on pt and pt2 gradients, resp. |
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402 | DO_3D( 0, 0, 1, 0, 2, jpkm1 ) |
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403 | ztfw(ji,jj,jk) = ztfw(ji,jj,jk) - e1e2t(ji,jj) / e3w(ji,jj,jk,Kmm) * tmask(ji,jj,jk) & |
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404 | & * ( ah_wslp2(ji,jj,jk) * ( pt (ji,jj,jk-1,jn) - pt (ji,jj,jk,jn) ) & |
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405 | & + akz (ji,jj,jk) * ( pt2(ji,jj,jk-1,jn) - pt2(ji,jj,jk,jn) ) ) |
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406 | END_3D |
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407 | END SELECT |
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408 | ENDIF |
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409 | ! |
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410 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) !== Divergence of vertical fluxes added to pta ==! |
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411 | pt_rhs(ji,jj,jk,jn) = pt_rhs(ji,jj,jk,jn) & |
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412 | & + zsign * ( ztfw(ji,jj,jk+1) - ztfw(ji,jj,jk) ) & |
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413 | & / ( e1e2t(ji,jj) * e3t(ji,jj,jk,Kmm) ) |
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414 | END_3D |
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415 | ! |
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416 | IF( ( kpass == 1 .AND. ln_traldf_lap ) .OR. & !== first pass only ( laplacian) ==! |
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417 | ( kpass == 2 .AND. ln_traldf_blp ) ) THEN !== 2nd pass (bilaplacian) ==! |
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418 | ! |
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419 | ! ! "Poleward" diffusive heat or salt transports (T-S case only) |
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420 | IF( l_ptr ) CALL dia_ptr_hst( jn, 'ldf', zftv(:,:,:) ) |
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421 | ! ! Diffusive heat transports |
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422 | IF( l_hst ) CALL dia_ar5_hst( jn, 'ldf', zftu(:,:,:), zftv(:,:,:) ) |
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423 | ! |
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424 | ENDIF !== end pass selection ==! |
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425 | ! |
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426 | ! ! =============== |
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427 | END DO ! end tracer loop |
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428 | ! ! =============== |
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429 | END SUBROUTINE tra_ldf_triad_t |
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430 | |
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431 | !!============================================================================== |
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432 | END MODULE traldf_triad |
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