1 | MODULE zpshde |
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2 | !!====================================================================== |
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3 | !! *** MODULE zpshde *** |
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4 | !! z-coordinate + partial step : Horizontal Derivative at ocean bottom level |
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5 | !!====================================================================== |
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6 | !! History : OPA ! 2002-04 (A. Bozec) Original code |
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7 | !! NEMO 1.0 ! 2002-08 (G. Madec E. Durand) Optimization and Free form |
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8 | !! - ! 2004-03 (C. Ethe) adapted for passive tracers |
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9 | !! 3.3 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA |
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10 | !!====================================================================== |
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11 | |
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12 | !!---------------------------------------------------------------------- |
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13 | !! zps_hde : Horizontal DErivative of T, S and rd at the last |
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14 | !! ocean level (Z-coord. with Partial Steps) |
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15 | !!---------------------------------------------------------------------- |
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16 | USE oce ! ocean: dynamics and tracers variables |
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17 | USE dom_oce ! domain: ocean variables |
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18 | USE phycst ! physical constants |
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19 | USE eosbn2 ! ocean equation of state |
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20 | USE in_out_manager ! I/O manager |
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21 | USE lbclnk ! lateral boundary conditions (or mpp link) |
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22 | USE lib_mpp ! MPP library |
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23 | USE wrk_nemo ! Memory allocation |
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24 | USE timing ! Timing |
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25 | |
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26 | IMPLICIT NONE |
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27 | PRIVATE |
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28 | |
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29 | PUBLIC zps_hde ! routine called by step.F90 |
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30 | |
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31 | !! * Substitutions |
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32 | # include "domzgr_substitute.h90" |
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33 | # include "vectopt_loop_substitute.h90" |
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34 | !!---------------------------------------------------------------------- |
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35 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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36 | !! $Id$ |
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37 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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38 | !!---------------------------------------------------------------------- |
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39 | CONTAINS |
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40 | |
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41 | SUBROUTINE zps_hde( kt, kjpt, pta, pgtu, pgtv, & |
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42 | & prd, pgru, pgrv, pmru, pmrv, pgzu, pgzv, pge3ru, pge3rv, & |
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43 | & sgtu, sgtv, sgru, sgrv, smru, smrv, sgzu, sgzv, sge3ru, sge3rv ) |
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44 | !!---------------------------------------------------------------------- |
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45 | !! *** ROUTINE zps_hde *** |
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46 | !! |
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47 | !! ** Purpose : Compute the horizontal derivative of T, S and rho |
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48 | !! at u- and v-points with a linear interpolation for z-coordinate |
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49 | !! with partial steps. |
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50 | !! |
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51 | !! ** Method : In z-coord with partial steps, scale factors on last |
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52 | !! levels are different for each grid point, so that T, S and rd |
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53 | !! points are not at the same depth as in z-coord. To have horizontal |
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54 | !! gradients again, we interpolate T and S at the good depth : |
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55 | !! Linear interpolation of T, S |
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56 | !! Computation of di(tb) and dj(tb) by vertical interpolation: |
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57 | !! di(t) = t~ - t(i,j,k) or t(i+1,j,k) - t~ |
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58 | !! dj(t) = t~ - t(i,j,k) or t(i,j+1,k) - t~ |
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59 | !! This formulation computes the two cases: |
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60 | !! CASE 1 CASE 2 |
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61 | !! k-1 ___ ___________ k-1 ___ ___________ |
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62 | !! Ti T~ T~ Ti+1 |
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63 | !! _____ _____ |
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64 | !! k | |Ti+1 k Ti | | |
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65 | !! | |____ ____| | |
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66 | !! ___ | | | ___ | | | |
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67 | !! |
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68 | !! case 1-> e3w(i+1) >= e3w(i) ( and e3w(j+1) >= e3w(j) ) then |
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69 | !! t~ = t(i+1,j ,k) + (e3w(i+1) - e3w(i)) * dk(Ti+1)/e3w(i+1) |
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70 | !! ( t~ = t(i ,j+1,k) + (e3w(j+1) - e3w(j)) * dk(Tj+1)/e3w(j+1) ) |
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71 | !! or |
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72 | !! case 2-> e3w(i+1) <= e3w(i) ( and e3w(j+1) <= e3w(j) ) then |
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73 | !! t~ = t(i,j,k) + (e3w(i) - e3w(i+1)) * dk(Ti)/e3w(i ) |
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74 | !! ( t~ = t(i,j,k) + (e3w(j) - e3w(j+1)) * dk(Tj)/e3w(j ) ) |
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75 | !! Idem for di(s) and dj(s) |
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76 | !! |
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77 | !! For rho, we call eos which will compute rd~(t~,s~) at the right |
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78 | !! depth zh from interpolated T and S for the different formulations |
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79 | !! of the equation of state (eos). |
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80 | !! Gradient formulation for rho : |
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81 | !! di(rho) = rd~ - rd(i,j,k) or rd(i+1,j,k) - rd~ |
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82 | !! |
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83 | !! ** Action : compute for top and bottom interfaces |
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84 | !! - pgtu, pgtv, sgtu, sgtv: horizontal gradient of tracer at u- & v-points |
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85 | !! - pgru, pgrv, sgru, sgtv: horizontal gradient of rho (if present) at u- & v-points |
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86 | !! - pmru, pmrv, smru, smrv: horizontal sum of rho at u- & v- point (used in dynhpg with vvl) |
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87 | !! - pgzu, pgzv, sgzu, sgzv: horizontal gradient of z at u- and v- point (used in dynhpg with vvl) |
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88 | !! - pge3ru, pge3rv, sge3ru, sge3rv: horizontal gradient of rho weighted by local e3w at u- & v-points |
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89 | !!---------------------------------------------------------------------- |
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90 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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91 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
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92 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: pta ! 4D tracers fields |
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93 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT( out) :: pgtu, pgtv ! hor. grad. of ptra at u- & v-pts |
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94 | REAL(wp), DIMENSION(jpi,jpj, kjpt), INTENT( out) :: sgtu, sgtv ! hor. grad. of stra at u- & v-pts (ISF) |
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95 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ), OPTIONAL :: prd ! 3D density anomaly fields |
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96 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pgru, pgrv ! hor. grad of prd at u- & v-pts (bottom) |
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97 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pmru, pmrv ! hor. sum of prd at u- & v-pts (bottom) |
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98 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pgzu, pgzv ! hor. grad of z at u- & v-pts (bottom) |
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99 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: pge3ru, pge3rv ! hor. grad of prd weighted by local e3w at u- & v-pts (bottom) |
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100 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: sgru, sgrv ! hor. grad of prd at u- & v-pts (top) |
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101 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: smru, smrv ! hor. sum of prd at u- & v-pts (top) |
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102 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: sgzu, sgzv ! hor. grad of z at u- & v-pts (top) |
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103 | REAL(wp), DIMENSION(jpi,jpj ), INTENT( out), OPTIONAL :: sge3ru, sge3rv ! hor. grad of prd weighted by local e3w at u- & v-pts (top) |
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104 | ! |
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105 | INTEGER :: ji, jj, jn ! Dummy loop indices |
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106 | INTEGER :: iku, ikv, ikum1, ikvm1,ikup1, ikvp1 ! partial step level (ocean bottom level) at u- and v-points |
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107 | REAL(wp) :: ze3wu, ze3wv, zmaxu, zmaxv, zdzwu, zdzwv, zdzwuip1, zdzwvjp1 ! temporary scalars |
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108 | REAL(wp), DIMENSION(jpi,jpj) :: zri, zrj, zhi, zhj ! NB: 3rd dim=1 to use eos |
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109 | REAL(wp), DIMENSION(jpi,jpj,kjpt) :: zti, ztj ! |
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110 | !!---------------------------------------------------------------------- |
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111 | ! |
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112 | IF( nn_timing == 1 ) CALL timing_start( 'zps_hde') |
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113 | ! |
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114 | pgtu(:,:,:)=0.0_wp ; pgtv(:,:,:)=0.0_wp ; |
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115 | sgtu(:,:,:)=0.0_wp ; sgtv(:,:,:)=0.0_wp ; |
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116 | zti (:,:,:)=0.0_wp ; ztj (:,:,:)=0.0_wp ; |
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117 | zhi (:,: )=0.0_wp ; zhj (:,: )=0.0_wp ; |
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118 | ! |
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119 | DO jn = 1, kjpt !== Interpolation of tracers at the last ocean level ==! |
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120 | ! |
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121 | DO jj = 1, jpjm1 |
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122 | DO ji = 1, jpim1 |
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123 | iku = mbku(ji,jj) ; ikum1 = MAX( iku - 1 , 1 ) ! last and before last ocean level at u- & v-points |
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124 | ikv = mbkv(ji,jj) ; ikvm1 = MAX( ikv - 1 , 1 ) ! if level first is a p-step, ik.m1=1 |
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125 | ! (ISF) case partial step top and bottom in adjacent cell in vertical |
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126 | ! cannot used e3w because if 2 cell water column, we have ps at top and bottom |
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127 | ! in this case e3w(i,j) - e3w(i,j+1) is not the distance between Tj~ and Tj |
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128 | ! the only common depth between cells (i,j) and (i,j+1) is gdepw_0 |
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129 | ze3wu = (gdept_0(ji+1,jj,iku) - gdepw_0(ji+1,jj,iku)) - (gdept_0(ji,jj,iku) - gdepw_0(ji,jj,iku)) |
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130 | ze3wv = (gdept_0(ji,jj+1,ikv) - gdepw_0(ji,jj+1,ikv)) - (gdept_0(ji,jj,ikv) - gdepw_0(ji,jj,ikv)) |
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131 | ! |
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132 | ! i- direction |
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133 | IF( ze3wu >= 0._wp ) THEN ! case 1 |
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134 | zmaxu = ze3wu / fse3w(ji+1,jj,iku) |
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135 | ! interpolated values of tracers |
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136 | zti (ji,jj,jn) = pta(ji+1,jj,iku,jn) + zmaxu * ( pta(ji+1,jj,ikum1,jn) - pta(ji+1,jj,iku,jn) ) |
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137 | ! gradient of tracers |
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138 | pgtu(ji,jj,jn) = umask(ji,jj,iku) * ( zti(ji,jj,jn) - pta(ji,jj,iku,jn) ) |
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139 | ELSE ! case 2 |
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140 | zmaxu = -ze3wu / fse3w(ji,jj,iku) |
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141 | ! interpolated values of tracers |
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142 | zti (ji,jj,jn) = pta(ji,jj,iku,jn) + zmaxu * ( pta(ji,jj,ikum1,jn) - pta(ji,jj,iku,jn) ) |
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143 | ! gradient of tracers |
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144 | pgtu(ji,jj,jn) = umask(ji,jj,iku) * ( pta(ji+1,jj,iku,jn) - zti(ji,jj,jn) ) |
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145 | ENDIF |
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146 | ! |
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147 | ! j- direction |
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148 | IF( ze3wv >= 0._wp ) THEN ! case 1 |
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149 | zmaxv = ze3wv / fse3w(ji,jj+1,ikv) |
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150 | ! interpolated values of tracers |
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151 | ztj (ji,jj,jn) = pta(ji,jj+1,ikv,jn) + zmaxv * ( pta(ji,jj+1,ikvm1,jn) - pta(ji,jj+1,ikv,jn) ) |
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152 | ! gradient of tracers |
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153 | pgtv(ji,jj,jn) = vmask(ji,jj,ikv) * ( ztj(ji,jj,jn) - pta(ji,jj,ikv,jn) ) |
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154 | ELSE ! case 2 |
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155 | zmaxv = -ze3wv / fse3w(ji,jj,ikv) |
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156 | ! interpolated values of tracers |
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157 | ztj (ji,jj,jn) = pta(ji,jj,ikv,jn) + zmaxv * ( pta(ji,jj,ikvm1,jn) - pta(ji,jj,ikv,jn) ) |
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158 | ! gradient of tracers |
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159 | pgtv(ji,jj,jn) = vmask(ji,jj,ikv) * ( pta(ji,jj+1,ikv,jn) - ztj(ji,jj,jn) ) |
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160 | ENDIF |
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161 | END DO |
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162 | END DO |
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163 | CALL lbc_lnk( pgtu(:,:,jn), 'U', -1. ) ; CALL lbc_lnk( pgtv(:,:,jn), 'V', -1. ) ! Lateral boundary cond. |
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164 | ! |
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165 | END DO |
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166 | |
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167 | ! horizontal derivative of density anomalies (rd) |
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168 | IF( PRESENT( prd ) ) THEN ! depth of the partial step level |
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169 | pgru(:,:)=0.0_wp ; pgrv(:,:)=0.0_wp ; |
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170 | pgzu(:,:)=0.0_wp ; pgzv(:,:)=0.0_wp ; |
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171 | pmru(:,:)=0.0_wp ; pmru(:,:)=0.0_wp ; |
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172 | pge3ru(:,:)=0.0_wp ; pge3rv(:,:)=0.0_wp ; |
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173 | DO jj = 1, jpjm1 |
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174 | DO ji = 1, jpim1 |
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175 | iku = mbku(ji,jj) |
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176 | ikv = mbkv(ji,jj) |
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177 | ze3wu = (gdept_0(ji+1,jj,iku) - gdepw_0(ji+1,jj,iku)) - (gdept_0(ji,jj,iku) - gdepw_0(ji,jj,iku)) |
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178 | ze3wv = (gdept_0(ji,jj+1,ikv) - gdepw_0(ji,jj+1,ikv)) - (gdept_0(ji,jj,ikv) - gdepw_0(ji,jj,ikv)) |
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179 | |
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180 | IF( ze3wu >= 0._wp ) THEN ; zhi(ji,jj) = fsdept(ji+1,jj,iku) - ze3wu ! i-direction: case 1 |
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181 | ELSE ; zhi(ji,jj) = fsdept(ji ,jj,iku) + ze3wu ! - - case 2 |
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182 | ENDIF |
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183 | IF( ze3wv >= 0._wp ) THEN ; zhj(ji,jj) = fsdept(ji,jj+1,ikv) - ze3wv ! j-direction: case 1 |
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184 | ELSE ; zhj(ji,jj) = fsdept(ji,jj ,ikv) + ze3wv ! - - case 2 |
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185 | ENDIF |
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186 | END DO |
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187 | END DO |
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188 | |
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189 | ! Compute interpolated rd from zti, ztj for the 2 cases at the depth of the partial |
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190 | ! step and store it in zri, zrj for each case |
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191 | CALL eos( zti, zhi, zri ) |
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192 | CALL eos( ztj, zhj, zrj ) |
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193 | |
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194 | ! Gradient of density at the last level |
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195 | DO jj = 1, jpjm1 |
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196 | DO ji = 1, jpim1 |
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197 | iku = mbku(ji,jj) ; ikum1 = MAX( iku - 1 , 1 ) ! last and before last ocean level at u- & v-points |
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198 | ikv = mbkv(ji,jj) ; ikvm1 = MAX( ikv - 1 , 1 ) ! last and before last ocean level at u- & v-points |
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199 | ze3wu = (gdept_0(ji+1,jj,iku) - gdepw_0(ji+1,jj,iku)) - (gdept_0(ji,jj,iku) - gdepw_0(ji,jj,iku)) |
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200 | ze3wv = (gdept_0(ji,jj+1,ikv) - gdepw_0(ji,jj+1,ikv)) - (gdept_0(ji,jj,ikv) - gdepw_0(ji,jj,ikv)) |
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201 | IF( ze3wu >= 0._wp ) THEN |
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202 | pgzu(ji,jj) = (fsde3w(ji+1,jj,iku) - ze3wu) - fsde3w(ji,jj,iku) |
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203 | pgru(ji,jj) = umask(ji,jj,iku) * ( zri(ji ,jj) - prd(ji,jj,iku) ) ! i: 1 |
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204 | pmru(ji,jj) = umask(ji,jj,iku) * ( zri(ji ,jj) + prd(ji,jj,iku) ) ! i: 1 |
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205 | pge3ru(ji,jj) = umask(ji,jj,iku) & |
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206 | * ( (fse3w(ji+1,jj,iku) - ze3wu )* ( zri(ji ,jj ) + prd(ji+1,jj,ikum1) + 2._wp) & |
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207 | - fse3w(ji ,jj,iku) * ( prd(ji ,jj,iku) + prd(ji ,jj,ikum1) + 2._wp) ) ! j: 2 |
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208 | ELSE |
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209 | pgzu(ji,jj) = fsde3w(ji+1,jj,iku) - (fsde3w(ji,jj,iku) + ze3wu) |
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210 | pgru(ji,jj) = umask(ji,jj,iku) * ( prd(ji+1,jj,iku) - zri(ji,jj) ) ! i: 2 |
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211 | pmru(ji,jj) = umask(ji,jj,iku) * ( prd(ji+1,jj,iku) + zri(ji,jj) ) ! i: 2 |
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212 | pge3ru(ji,jj) = umask(ji,jj,iku) & |
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213 | * ( fse3w(ji+1,jj,iku) * ( prd(ji+1,jj,iku) + prd(ji+1,jj,ikum1) + 2._wp) & |
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214 | -(fse3w(ji ,jj,iku) + ze3wu) * ( zri(ji ,jj ) + prd(ji ,jj,ikum1) + 2._wp) ) ! j: 2 |
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215 | ENDIF |
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216 | IF( ze3wv >= 0._wp ) THEN |
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217 | pgzv(ji,jj) = (fsde3w(ji,jj+1,ikv) - ze3wv) - fsde3w(ji,jj,ikv) |
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218 | pgrv(ji,jj) = vmask(ji,jj,ikv) * ( zrj(ji,jj ) - prd(ji,jj,ikv) ) ! j: 1 |
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219 | pmrv(ji,jj) = vmask(ji,jj,ikv) * ( zrj(ji,jj ) + prd(ji,jj,ikv) ) ! j: 1 |
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220 | pge3rv(ji,jj) = vmask(ji,jj,ikv) & |
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221 | * ( (fse3w(ji,jj+1,ikv) - ze3wv )* ( zrj(ji,jj ) + prd(ji,jj+1,ikvm1) + 2._wp) & |
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222 | - fse3w(ji,jj ,ikv) * ( prd(ji,jj ,ikv) + prd(ji,jj ,ikvm1) + 2._wp) ) ! j: 2 |
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223 | ELSE |
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224 | pgzv(ji,jj) = fsde3w(ji,jj+1,ikv) - (fsde3w(ji,jj,ikv) + ze3wv) |
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225 | pgrv(ji,jj) = vmask(ji,jj,ikv) * ( prd(ji,jj+1,ikv) - zrj(ji,jj) ) ! j: 2 |
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226 | pmrv(ji,jj) = vmask(ji,jj,ikv) * ( prd(ji,jj+1,ikv) + zrj(ji,jj) ) ! j: 2 |
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227 | pge3rv(ji,jj) = vmask(ji,jj,ikv) & |
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228 | * ( fse3w(ji,jj+1,ikv) * ( prd(ji,jj+1,ikv) + prd(ji,jj+1,ikvm1) + 2._wp) & |
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229 | -(fse3w(ji,jj ,ikv) + ze3wv) * ( zrj(ji,jj ) + prd(ji,jj ,ikvm1) + 2._wp) ) ! j: 2 |
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230 | ENDIF |
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231 | END DO |
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232 | END DO |
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233 | CALL lbc_lnk( pgru , 'U', -1. ) ; CALL lbc_lnk( pgrv , 'V', -1. ) ! Lateral boundary conditions |
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234 | CALL lbc_lnk( pmru , 'U', 1. ) ; CALL lbc_lnk( pmrv , 'V', 1. ) ! Lateral boundary conditions |
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235 | CALL lbc_lnk( pgzu , 'U', -1. ) ; CALL lbc_lnk( pgzv , 'V', -1. ) ! Lateral boundary conditions |
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236 | CALL lbc_lnk( pge3ru , 'U', -1. ) ; CALL lbc_lnk( pge3rv , 'V', -1. ) ! Lateral boundary conditions |
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237 | ! |
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238 | END IF |
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239 | ! (ISH) compute grui and gruvi |
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240 | DO jn = 1, kjpt !== Interpolation of tracers at the last ocean level ==! ! |
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241 | DO jj = 1, jpjm1 |
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242 | DO ji = 1, jpim1 |
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243 | iku = miku(ji,jj) ; ikup1 = miku(ji,jj) + 1 |
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244 | ikv = mikv(ji,jj) ; ikvp1 = mikv(ji,jj) + 1 |
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245 | ! |
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246 | ! (ISF) case partial step top and bottom in adjacent cell in vertical |
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247 | ! cannot used e3w because if 2 cell water column, we have ps at top and bottom |
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248 | ! in this case e3w(i,j) - e3w(i,j+1) is not the distance between Tj~ and Tj |
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249 | ! the only common depth between cells (i,j) and (i,j+1) is gdepw_0 |
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250 | ze3wu = (gdepw_0(ji+1,jj,iku+1) - gdept_0(ji+1,jj,iku)) - (gdepw_0(ji,jj,iku+1) - gdept_0(ji,jj,iku)) |
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251 | ze3wv = (gdepw_0(ji,jj+1,ikv+1) - gdept_0(ji,jj+1,ikv)) - (gdepw_0(ji,jj,ikv+1) - gdept_0(ji,jj,ikv)) |
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252 | ! i- direction |
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253 | IF( ze3wu >= 0._wp ) THEN ! case 1 |
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254 | zmaxu = ze3wu / fse3w(ji+1,jj,iku+1) |
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255 | ! interpolated values of tracers |
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256 | zti(ji,jj,jn) = pta(ji+1,jj,iku,jn) + zmaxu * ( pta(ji+1,jj,iku+1,jn) - pta(ji+1,jj,iku,jn) ) |
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257 | ! gradient of tracers |
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258 | sgtu(ji,jj,jn) = umask(ji,jj,iku) * ( zti(ji,jj,jn) - pta(ji,jj,iku,jn) ) |
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259 | ELSE ! case 2 |
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260 | zmaxu = - ze3wu / fse3w(ji,jj,iku+1) |
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261 | ! interpolated values of tracers |
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262 | zti(ji,jj,jn) = pta(ji,jj,iku,jn) + zmaxu * ( pta(ji,jj,iku+1,jn) - pta(ji,jj,iku,jn) ) |
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263 | ! gradient of tracers |
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264 | sgtu(ji,jj,jn) = umask(ji,jj,iku) * ( pta(ji+1,jj,iku,jn) - zti(ji,jj,jn) ) |
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265 | ENDIF |
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266 | ! |
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267 | ! j- direction |
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268 | IF( ze3wv >= 0._wp ) THEN ! case 1 |
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269 | zmaxv = ze3wv / fse3w(ji,jj+1,ikv+1) |
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270 | ! interpolated values of tracers |
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271 | ztj(ji,jj,jn) = pta(ji,jj+1,ikv,jn) + zmaxv * ( pta(ji,jj+1,ikv+1,jn) - pta(ji,jj+1,ikv,jn) ) |
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272 | ! gradient of tracers |
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273 | sgtv(ji,jj,jn) = vmask(ji,jj,ikv) * ( ztj(ji,jj,jn) - pta(ji,jj,ikv,jn) ) |
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274 | ELSE ! case 2 |
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275 | zmaxv = - ze3wv / fse3w(ji,jj,ikv+1) |
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276 | ! interpolated values of tracers |
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277 | ztj(ji,jj,jn) = pta(ji,jj,ikv,jn) + zmaxv * ( pta(ji,jj,ikv+1,jn) - pta(ji,jj,ikv,jn) ) |
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278 | ! gradient of tracers |
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279 | sgtv(ji,jj,jn) = vmask(ji,jj,ikv) * ( pta(ji,jj+1,ikv,jn) - ztj(ji,jj,jn) ) |
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280 | ENDIF |
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281 | END DO!! |
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282 | END DO!! |
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283 | CALL lbc_lnk( sgtu(:,:,jn), 'U', -1. ) ; CALL lbc_lnk( sgtv(:,:,jn), 'V', -1. ) ! Lateral boundary cond. |
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284 | ! |
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285 | END DO |
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286 | |
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287 | ! horizontal derivative of density anomalies (rd) |
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288 | IF( PRESENT( prd ) ) THEN ! depth of the partial step level |
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289 | sgru(:,:) =0.0_wp ; sgrv(:,:) =0.0_wp ; |
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290 | sgzu(:,:) =0.0_wp ; sgzv(:,:) =0.0_wp ; |
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291 | smru(:,:) =0.0_wp ; smru(:,:) =0.0_wp ; |
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292 | sge3ru(:,:)=0.0_wp ; sge3rv(:,:)=0.0_wp ; |
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293 | |
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294 | DO jj = 1, jpjm1 |
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295 | DO ji = 1, jpim1 |
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296 | iku = miku(ji,jj) |
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297 | ikv = mikv(ji,jj) |
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298 | ze3wu = (gdepw_0(ji+1,jj,iku+1) - gdept_0(ji+1,jj,iku)) - (gdepw_0(ji,jj,iku+1) - gdept_0(ji,jj,iku)) |
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299 | ze3wv = (gdepw_0(ji,jj+1,ikv+1) - gdept_0(ji,jj+1,ikv)) - (gdepw_0(ji,jj,ikv+1) - gdept_0(ji,jj,ikv)) |
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300 | |
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301 | IF( ze3wu >= 0._wp ) THEN ; zhi(ji,jj) = fsdept(ji+1,jj,iku) + ze3wu ! i-direction: case 1 |
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302 | ELSE ; zhi(ji,jj) = fsdept(ji ,jj,iku) - ze3wu ! - - case 2 |
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303 | ENDIF |
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304 | IF( ze3wv >= 0._wp ) THEN ; zhj(ji,jj) = fsdept(ji,jj+1,ikv) + ze3wv ! j-direction: case 1 |
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305 | ELSE ; zhj(ji,jj) = fsdept(ji,jj ,ikv) - ze3wv ! - - case 2 |
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306 | ENDIF |
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307 | END DO |
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308 | END DO |
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309 | |
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310 | ! Compute interpolated rd from zti, ztj for the 2 cases at the depth of the partial |
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311 | ! step and store it in zri, zrj for each case |
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312 | CALL eos( zti, zhi, zri ) |
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313 | CALL eos( ztj, zhj, zrj ) |
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314 | |
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315 | ! Gradient of density at the last level |
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316 | DO jj = 1, jpjm1 |
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317 | DO ji = 1, jpim1 |
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318 | iku = miku(ji,jj) ; ikup1 = miku(ji,jj) + 1 |
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319 | ikv = mikv(ji,jj) ; ikvp1 = mikv(ji,jj) + 1 |
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320 | ze3wu = (gdepw_0(ji+1,jj,iku+1) - gdept_0(ji+1,jj,iku)) - (gdepw_0(ji,jj,iku+1) - gdept_0(ji,jj,iku)) |
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321 | ze3wv = (gdepw_0(ji,jj+1,ikv+1) - gdept_0(ji,jj+1,ikv)) - (gdepw_0(ji,jj,ikv+1) - gdept_0(ji,jj,ikv)) |
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322 | IF( ze3wu >= 0._wp ) THEN |
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323 | sgzu (ji,jj) = (fsde3w(ji+1,jj,iku) + ze3wu) - fsde3w(ji,jj,iku) |
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324 | sgru (ji,jj) = umask(ji,jj,iku) * ( zri(ji,jj) - prd(ji,jj,iku) ) ! i: 1 |
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325 | smru (ji,jj) = umask(ji,jj,iku) * ( zri(ji,jj) + prd(ji,jj,iku) ) ! i: 1 |
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326 | sge3ru(ji,jj) = umask(ji,jj,iku+1) & |
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327 | * ( (fse3w(ji+1,jj,iku+1) - ze3wu) * (zri(ji,jj ) + prd(ji+1,jj,iku+1) + 2._wp) & |
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328 | - fse3w(ji ,jj,iku+1) * (prd(ji,jj,iku) + prd(ji ,jj,iku+1) + 2._wp) ) ! i: 1 |
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329 | ELSE |
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330 | sgzu (ji,jj) = fsde3w(ji+1,jj,iku) - (fsde3w(ji,jj,iku) - ze3wu) |
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331 | sgru (ji,jj) = umask(ji,jj,iku) * ( prd(ji+1,jj,iku) - zri(ji,jj) ) ! i: 2 |
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332 | smru (ji,jj) = umask(ji,jj,iku) * ( prd(ji+1,jj,iku) + zri(ji,jj) ) ! i: 2 |
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333 | sge3ru(ji,jj) = umask(ji,jj,iku+1) & |
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334 | * ( fse3w(ji+1,jj,iku+1) * (prd(ji+1,jj,iku) + prd(ji+1,jj,iku+1) + 2._wp) & |
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335 | -(fse3w(ji ,jj,iku+1) + ze3wu) * (zri(ji,jj ) + prd(ji ,jj,iku+1) + 2._wp) ) ! i: 2 |
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336 | ENDIF |
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337 | IF( ze3wv >= 0._wp ) THEN |
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338 | sgzv (ji,jj) = (fsde3w(ji,jj+1,ikv) + ze3wv) - fsde3w(ji,jj,ikv) |
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339 | sgrv (ji,jj) = vmask(ji,jj,ikv) * ( zrj(ji,jj ) - prd(ji,jj,ikv) ) ! j: 1 |
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340 | smrv (ji,jj) = vmask(ji,jj,ikv) * ( zrj(ji,jj ) + prd(ji,jj,ikv) ) ! j: 1 |
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341 | sge3rv(ji,jj) = vmask(ji,jj,ikv+1) & |
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342 | * ( (fse3w(ji,jj+1,ikv+1) - ze3wv) * ( zrj(ji,jj ) + prd(ji,jj+1,ikv+1) + 2._wp) & |
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343 | - fse3w(ji,jj ,ikv+1) * ( prd(ji,jj,ikv) + prd(ji,jj ,ikv+1) + 2._wp) ) ! j: 1 |
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344 | ! + 2 due to the formulation in density and not in anomalie in hpg sco |
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345 | ELSE |
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346 | sgzv (ji,jj) = fsde3w(ji,jj+1,ikv) - (fsde3w(ji,jj,ikv) - ze3wv) |
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347 | sgrv (ji,jj) = vmask(ji,jj,ikv) * ( prd(ji,jj+1,ikv) - zrj(ji,jj) ) ! j: 2 |
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348 | smrv (ji,jj) = vmask(ji,jj,ikv) * ( prd(ji,jj+1,ikv) + zrj(ji,jj) ) ! j: 2 |
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349 | sge3rv(ji,jj) = vmask(ji,jj,ikv+1) & |
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350 | * ( fse3w(ji,jj+1,ikv+1) * ( prd(ji,jj+1,ikv) + prd(ji,jj+1,ikv+1) + 2._wp) & |
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351 | -(fse3w(ji,jj ,ikv+1) + ze3wv) * ( zrj(ji,jj ) + prd(ji,jj ,ikv+1) + 2._wp) ) ! j: 2 |
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352 | ENDIF |
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353 | END DO |
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354 | END DO |
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355 | CALL lbc_lnk( sgru , 'U', -1. ) ; CALL lbc_lnk( sgrv , 'V', -1. ) ! Lateral boundary conditions |
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356 | CALL lbc_lnk( smru , 'U', 1. ) ; CALL lbc_lnk( smrv , 'V', 1. ) ! Lateral boundary conditions |
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357 | CALL lbc_lnk( sgzu , 'U', -1. ) ; CALL lbc_lnk( sgzv , 'V', -1. ) ! Lateral boundary conditions |
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358 | CALL lbc_lnk( sge3ru , 'U', -1. ) ; CALL lbc_lnk( sge3rv , 'V', -1. ) ! Lateral boundary conditions |
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359 | ! |
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360 | END IF |
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361 | ! |
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362 | IF( nn_timing == 1 ) CALL timing_stop( 'zps_hde') |
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363 | ! |
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364 | END SUBROUTINE zps_hde |
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365 | |
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366 | !!====================================================================== |
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367 | END MODULE zpshde |
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