1 | MODULE dynzad_tam |
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2 | #ifdef key_tam |
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3 | !!====================================================================== |
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4 | !! *** MODULE dynzad_tam *** |
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5 | !! Ocean dynamics : vertical advection trend |
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6 | !! Tangent and Adjoint module |
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7 | !!====================================================================== |
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8 | !! History of the direct module: |
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9 | !! 6.0 ! 91-01 (G. Madec) Original code |
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10 | !! 7.0 ! 91-11 (G. Madec) |
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11 | !! 7.5 ! 96-01 (G. Madec) statement function for e3 |
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12 | !! 8.5 ! 02-07 (G. Madec) j-k-i case: Original code |
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13 | !! 8.5 ! 02-07 (G. Madec) Free form, F90 |
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14 | !! History of the tam module: |
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15 | !! 9.0 ! 08-08 (A. Vidard) first version |
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16 | !! NEMO 3.4 ! 12-07 (P.-A. Bouttier) phasing with 3.4 |
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17 | !!---------------------------------------------------------------------- |
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18 | |
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19 | !!---------------------------------------------------------------------- |
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20 | !! dyn_zad_tan : tangent of the vertical advection momentum trend |
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21 | !! dyn_zad_adj : adjoint of the vertical advection momentum trend |
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22 | !!---------------------------------------------------------------------- |
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23 | USE par_oce |
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24 | USE oce |
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25 | USE oce_tam |
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26 | USE dom_oce |
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27 | USE in_out_manager |
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28 | USE wrk_nemo ! Memory Allocation |
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29 | USE timing ! Timing |
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30 | USE lib_mpp |
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31 | |
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32 | IMPLICIT NONE |
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33 | PRIVATE |
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34 | |
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35 | PUBLIC dyn_zad_tan ! routine called by step_tam.F90 |
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36 | PUBLIC dyn_zad_adj ! routine called by step_tam.F90 |
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37 | |
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38 | !! * Substitutions |
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39 | # include "domzgr_substitute.h90" |
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40 | # include "vectopt_loop_substitute.h90" |
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41 | !!---------------------------------------------------------------------- |
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42 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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43 | !! $Header$ |
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44 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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45 | !!---------------------------------------------------------------------- |
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46 | |
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47 | CONTAINS |
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48 | SUBROUTINE dyn_zad_tan ( kt ) |
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49 | !!---------------------------------------------------------------------- |
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50 | !! *** ROUTINE dynzad_tan *** |
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51 | !! |
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52 | !! ** Purpose of the direct routine: |
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53 | !! Compute the now vertical momentum advection trend and |
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54 | !! add it to the general trend of momentum equation. |
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55 | !! |
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56 | !! ** Method of the direct routine: |
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57 | !! The now vertical advection of momentum is given by: |
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58 | !! w dz(u) = ua + 1/(e1u*e2u*e3u) mk+1[ mi(e1t*e2t*wn) dk(un) ] |
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59 | !! w dz(v) = va + 1/(e1v*e2v*e3v) mk+1[ mj(e1t*e2t*wn) dk(vn) ] |
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60 | !! Add this trend to the general trend (ua,va): |
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61 | !! (ua,va) = (ua,va) + w dz(u,v) |
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62 | !! |
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63 | !! ** Action : - Update (ua_tl,va_tl) with the vert. momentum advection trends |
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64 | !!---------------------------------------------------------------------- |
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65 | !! |
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66 | INTEGER, INTENT(in) :: kt ! ocean time-step inedx |
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67 | !! |
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68 | INTEGER :: ji, jj, jk ! dummy loop indices |
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69 | REAL(wp) :: zuatl, zvatl ! temporary scalars |
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70 | REAL(wp), POINTER, DIMENSION(:,:) :: zww ! 2D workspace |
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71 | REAL(wp), POINTER, DIMENSION(:,:) :: zwwtl ! 2D workspace |
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72 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwuwtl, zwvwtl ! 3D workspace |
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73 | !!---------------------------------------------------------------------- |
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74 | IF( nn_timing == 1 ) CALL timing_start('dyn_zad_tan') |
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75 | ! |
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76 | CALL wrk_alloc( jpi,jpj, zww ) |
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77 | CALL wrk_alloc( jpi,jpj, zwwtl ) |
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78 | CALL wrk_alloc( jpi,jpj,jpk, zwuwtl , zwvwtl ) |
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79 | ! |
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80 | IF( kt == nit000 ) THEN |
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81 | IF(lwp)WRITE(numout,*) |
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82 | IF(lwp)WRITE(numout,*) 'dyn_zad_tan : arakawa advection scheme' |
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83 | IF(lwp)WRITE(numout,*) '~~~~~~~~~~~' |
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84 | CALL flush(numout) |
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85 | ENDIF |
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86 | |
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87 | DO jk = 2, jpkm1 ! Vertical momentum advection at level w and u- and v- vertical |
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88 | DO jj = 2, jpj ! vertical fluxes |
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89 | DO ji = fs_2, jpi ! vector opt. |
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90 | zww( ji,jj) = 0.25 * e1t(ji,jj) * e2t(ji,jj) * wn( ji,jj,jk) |
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91 | zwwtl(ji,jj) = 0.25 * e1t(ji,jj) * e2t(ji,jj) * wn_tl(ji,jj,jk) |
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92 | END DO |
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93 | END DO |
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94 | DO jj = 2, jpjm1 ! vertical momentum advection at w-point |
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95 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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96 | zwuwtl(ji,jj,jk) = ( zwwtl(ji+1,jj ) + zwwtl(ji,jj) ) * ( un( ji,jj,jk-1)-un( ji,jj,jk) ) + & |
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97 | & ( zww( ji+1,jj ) + zww( ji,jj) ) * ( un_tl(ji,jj,jk-1)-un_tl(ji,jj,jk) ) |
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98 | zwvwtl(ji,jj,jk) = ( zwwtl(ji ,jj+1) + zwwtl(ji,jj) ) * ( vn( ji,jj,jk-1)-vn( ji,jj,jk) ) + & |
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99 | & ( zww( ji ,jj+1) + zww( ji,jj) ) * ( vn_tl(ji,jj,jk-1)-vn_tl(ji,jj,jk) ) |
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100 | END DO |
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101 | END DO |
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102 | END DO |
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103 | DO jj = 2, jpjm1 ! Surface and bottom values set to zero |
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104 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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105 | zwuwtl(ji,jj, 1 ) = 0.0_wp |
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106 | zwvwtl(ji,jj, 1 ) = 0.0_wp |
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107 | zwuwtl(ji,jj,jpk) = 0.0_wp |
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108 | zwvwtl(ji,jj,jpk) = 0.0_wp |
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109 | END DO |
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110 | END DO |
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111 | |
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112 | DO jk = 1, jpkm1 ! Vertical momentum advection at u- and v-points |
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113 | DO jj = 2, jpjm1 |
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114 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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115 | ! ! vertical momentum advective trends |
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116 | zuatl = - ( zwuwtl(ji,jj,jk) + zwuwtl(ji,jj,jk+1) ) / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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117 | zvatl = - ( zwvwtl(ji,jj,jk) + zwvwtl(ji,jj,jk+1) ) / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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118 | ! ! add the trends to the general momentum trends |
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119 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zuatl |
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120 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zvatl |
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121 | END DO |
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122 | END DO |
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123 | END DO |
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124 | ! |
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125 | CALL wrk_dealloc( jpi,jpj, zww ) |
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126 | CALL wrk_dealloc( jpi,jpj, zwwtl ) |
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127 | CALL wrk_dealloc( jpi,jpj,jpk, zwuwtl , zwvwtl ) |
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128 | ! |
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129 | IF( nn_timing == 1 ) CALL timing_stop('dyn_zad_tan') |
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130 | ! |
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131 | END SUBROUTINE dyn_zad_tan |
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132 | |
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133 | SUBROUTINE dyn_zad_adj ( kt ) |
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134 | !!---------------------------------------------------------------------- |
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135 | !! *** ROUTINE dynzad_adj *** |
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136 | !! |
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137 | !! ** Purpose of the direct routine: |
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138 | !! Compute the now vertical momentum advection trend and |
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139 | !! add it to the general trend of momentum equation. |
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140 | !! |
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141 | !! ** Method of the direct routine: |
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142 | !! The now vertical advection of momentum is given by: |
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143 | !! w dz(u) = ua + 1/(e1u*e2u*e3u) mk+1[ mi(e1t*e2t*wn) dk(un) ] |
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144 | !! w dz(v) = va + 1/(e1v*e2v*e3v) mk+1[ mj(e1t*e2t*wn) dk(vn) ] |
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145 | !! Add this trend to the general trend (ua,va): |
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146 | !! (ua,va) = (ua,va) + w dz(u,v) |
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147 | !! |
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148 | !! ** Action : - Update (ua_tl,va_tl) with the vert. momentum advection trends |
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149 | !!---------------------------------------------------------------------- |
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150 | !! |
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151 | INTEGER, INTENT(in) :: kt ! ocean time-step inedx |
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152 | !! |
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153 | INTEGER :: ji, jj, jk ! dummy loop indices |
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154 | REAL(wp) :: zuaad, zvaad ! temporary scalars |
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155 | REAL(wp), POINTER, DIMENSION(:,:) :: zww ! 2D workspace |
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156 | REAL(wp), POINTER, DIMENSION(:,:) :: zwwad ! 2D workspace |
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157 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwuwad, zwvwad ! 3D workspace |
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158 | !!---------------------------------------------------------------------- |
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159 | IF( nn_timing == 1 ) CALL timing_start('dyn_zad_adj') |
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160 | ! |
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161 | CALL wrk_alloc( jpi,jpj, zww ) |
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162 | CALL wrk_alloc( jpi,jpj, zwwad ) |
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163 | CALL wrk_alloc( jpi,jpj,jpk, zwuwad , zwvwad ) |
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164 | ! |
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165 | IF( kt == nitend ) THEN |
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166 | IF(lwp)WRITE(numout,*) |
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167 | IF(lwp)WRITE(numout,*) 'dyn_zad_adj : arakawa advection scheme' |
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168 | IF(lwp)WRITE(numout,*) '~~~~~~~~~~~' |
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169 | ENDIF |
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170 | |
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171 | zuaad = 0.0_wp ; zvaad = 0.0_wp |
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172 | zwuwad(:,:,:) = 0.0_wp ; zwvwad(:,:,:) = 0.0_wp ; zwwad(:,:) = 0.0_wp |
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173 | |
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174 | DO jk = jpkm1, 1, -1 ! Vertical momentum advection at u- and v-points |
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175 | DO jj = jpjm1, 2, -1 |
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176 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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177 | ! ! add the trends to the general momentum trends |
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178 | zuaad = zuaad + ua_ad(ji,jj,jk) |
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179 | zvaad = zvaad + va_ad(ji,jj,jk) |
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180 | ! ! vertical momentum advective trends |
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181 | zwuwad(ji,jj,jk ) = zwuwad(ji,jj,jk ) - zuaad / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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182 | zwuwad(ji,jj,jk+1) = zwuwad(ji,jj,jk+1) - zuaad / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
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183 | zuaad = 0.0_wp |
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184 | |
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185 | zwvwad(ji,jj,jk ) = zwvwad(ji,jj,jk ) - zvaad / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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186 | zwvwad(ji,jj,jk+1) = zwvwad(ji,jj,jk+1) - zvaad / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
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187 | zvaad = 0.0_wp |
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188 | END DO |
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189 | END DO |
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190 | END DO |
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191 | DO jj = 2, jpjm1 ! Surface and bottom values set to zero |
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192 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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193 | zwuwad(ji,jj, 1 ) = 0.0_wp |
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194 | zwvwad(ji,jj, 1 ) = 0.0_wp |
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195 | zwuwad(ji,jj,jpk) = 0.0_wp |
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196 | zwvwad(ji,jj,jpk) = 0.0_wp |
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197 | END DO |
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198 | END DO |
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199 | DO jk = jpkm1, 2, -1 ! Vertical momentum advection at level w and u- and v- vertical |
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200 | DO jj = 2, jpj ! vertical fluxes |
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201 | DO ji = fs_2, jpi ! vector opt. |
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202 | zww(ji,jj) = 0.25 * e1t(ji,jj) * e2t(ji,jj) * wn(ji,jj,jk) |
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203 | END DO |
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204 | END DO |
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205 | DO jj = jpjm1, 2, -1 ! vertical momentum advection at w-point |
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206 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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207 | zwwad(ji,jj+1) = zwwad(ji,jj+1) + zwvwad(ji,jj,jk) * ( vn(ji,jj,jk-1)-vn(ji,jj,jk) ) |
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208 | zwwad(ji,jj ) = zwwad(ji,jj ) + zwvwad(ji,jj,jk) * ( vn(ji,jj,jk-1)-vn(ji,jj,jk) ) |
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209 | vn_ad(ji,jj,jk-1) = vn_ad(ji,jj,jk-1) + zwvwad(ji,jj,jk) * ( zww(ji,jj+1) + zww(ji,jj) ) |
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210 | vn_ad(ji,jj,jk ) = vn_ad(ji,jj,jk ) - zwvwad(ji,jj,jk) * ( zww(ji,jj+1) + zww(ji,jj) ) |
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211 | zwvwad(ji,jj,jk) = 0.0_wp |
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212 | |
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213 | zwwad(ji+1,jj) = zwwad(ji+1,jj) + zwuwad(ji,jj,jk) * ( un(ji,jj,jk-1)-un(ji,jj,jk) ) |
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214 | zwwad(ji ,jj) = zwwad(ji ,jj) + zwuwad(ji,jj,jk) * ( un(ji,jj,jk-1)-un(ji,jj,jk) ) |
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215 | un_ad(ji,jj,jk-1) = un_ad(ji,jj,jk-1) + zwuwad(ji,jj,jk) * ( zww(ji+1,jj) + zww(ji,jj) ) |
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216 | un_ad(ji,jj,jk ) = un_ad(ji,jj,jk ) - zwuwad(ji,jj,jk) * ( zww(ji+1,jj) + zww(ji,jj) ) |
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217 | zwuwad(ji,jj,jk) = 0.0_wp |
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218 | END DO |
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219 | END DO |
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220 | DO jj = jpj, 2, -1 ! vertical fluxes |
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221 | DO ji = jpi, fs_2, -1 ! vector opt. |
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222 | wn_ad(ji,jj,jk) = wn_ad(ji,jj,jk) + zwwad(ji,jj) * 0.25 * e1t(ji,jj) * e2t(ji,jj) |
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223 | zwwad(ji,jj) = 0.0_wp |
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224 | END DO |
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225 | END DO |
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226 | END DO |
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227 | ! |
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228 | CALL wrk_dealloc( jpi,jpj, zww ) |
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229 | CALL wrk_dealloc( jpi,jpj, zwwad ) |
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230 | CALL wrk_dealloc( jpi,jpj,jpk, zwuwad, zwvwad ) |
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231 | ! |
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232 | IF( nn_timing == 1 ) CALL timing_stop('dyn_zad_adj') |
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233 | ! |
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234 | END SUBROUTINE dyn_zad_adj |
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235 | SUBROUTINE dyn_zad_adj_tst( kumadt ) |
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236 | INTEGER, INTENT(IN) :: & |
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237 | & kumadt ! Output unit |
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238 | ! done in dynadv_tam |
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239 | END SUBROUTINE dyn_zad_adj_tst |
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240 | #endif |
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241 | END MODULE dynzad_tam |
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