1 | MODULE ldfeiv |
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2 | !!====================================================================== |
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3 | !! *** MODULE ldfeiv *** |
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4 | !! Ocean physics: variable eddy induced velocity coefficients |
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5 | !!====================================================================== |
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6 | !! History : OPA ! 1999-03 (G. Madec, A. Jouzeau) Original code |
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7 | !! NEMO 1.0 ! 2002-06 (G. Madec) Free form, F90 |
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8 | !!---------------------------------------------------------------------- |
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9 | #if defined key_traldf_eiv && defined key_traldf_c2d |
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10 | !!---------------------------------------------------------------------- |
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11 | !! 'key_traldf_eiv' and eddy induced velocity |
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12 | !! 'key_traldf_c2d' 2D tracer lateral mixing coef. |
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13 | !!---------------------------------------------------------------------- |
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14 | !! ldf_eiv : compute the eddy induced velocity coefficients |
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15 | !!---------------------------------------------------------------------- |
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16 | USE oce ! ocean dynamics and tracers |
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17 | USE dom_oce ! ocean space and time domain |
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18 | USE sbc_oce ! surface boundary condition: ocean |
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19 | USE sbcrnf ! river runoffs |
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20 | USE ldftra_oce ! ocean tracer lateral physics |
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21 | USE phycst ! physical constants |
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22 | USE ldfslp ! iso-neutral slopes |
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23 | USE in_out_manager ! I/O manager |
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24 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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25 | USE prtctl ! Print control |
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26 | USE iom ! I/O library |
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27 | USE wrk_nemo ! work arrays |
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28 | USE timing ! Timing |
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29 | |
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30 | IMPLICIT NONE |
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31 | PRIVATE |
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32 | |
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33 | PUBLIC ldf_eiv ! routine called by step.F90 |
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34 | |
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35 | !! * Substitutions |
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36 | # include "domzgr_substitute.h90" |
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37 | # include "vectopt_loop_substitute.h90" |
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38 | !!---------------------------------------------------------------------- |
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39 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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40 | !! $Id$ |
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41 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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42 | !!---------------------------------------------------------------------- |
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43 | CONTAINS |
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44 | |
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45 | SUBROUTINE ldf_eiv( kt ) |
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46 | !!---------------------------------------------------------------------- |
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47 | !! *** ROUTINE ldf_eiv *** |
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48 | !! |
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49 | !! ** Purpose : Compute the eddy induced velocity coefficient from the |
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50 | !! growth rate of baroclinic instability. |
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51 | !! |
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52 | !! ** Method : |
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53 | !! |
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54 | !! ** Action : - uslp , vslp : i- and j-slopes of neutral surfaces at u- & v-points |
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55 | !! - wslpi, wslpj : i- and j-slopes of neutral surfaces at w-points. |
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56 | !!---------------------------------------------------------------------- |
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57 | INTEGER, INTENT(in) :: kt ! ocean time-step inedx |
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58 | ! |
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59 | INTEGER :: ji, jj, jk ! dummy loop indices |
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60 | REAL(wp) :: zfw, ze3w, zn2, zf20, zaht, zaht_min ! temporary scalars |
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61 | REAL(wp), DIMENSION(:,:), POINTER :: zn, zah, zhw, zross ! 2D workspace |
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62 | !!---------------------------------------------------------------------- |
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63 | ! |
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64 | IF( nn_timing == 1 ) CALL timing_start('ldf_eiv') |
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65 | ! |
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66 | CALL wrk_alloc( jpi,jpj, zn, zah, zhw, zross ) |
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67 | |
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68 | IF( kt == nit000 ) THEN |
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69 | IF(lwp) WRITE(numout,*) |
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70 | IF(lwp) WRITE(numout,*) 'ldf_eiv : eddy induced velocity coefficients' |
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71 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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72 | ENDIF |
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73 | |
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74 | ! 0. Local initialization |
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75 | ! ----------------------- |
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76 | zn (:,:) = 0._wp |
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77 | zhw (:,:) = 5._wp |
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78 | zah (:,:) = 0._wp |
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79 | zross(:,:) = 0._wp |
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80 | |
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81 | |
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82 | ! 1. Compute lateral diffusive coefficient |
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83 | ! ---------------------------------------- |
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84 | IF( ln_traldf_grif ) THEN |
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85 | DO jk = 1, jpk |
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86 | # if defined key_vectopt_loop |
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87 | !CDIR NOVERRCHK |
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88 | DO ji = 1, jpij ! vector opt. |
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89 | ! Take the max of N^2 and zero then take the vertical sum |
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90 | ! of the square root of the resulting N^2 ( required to compute |
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91 | ! internal Rossby radius Ro = .5 * sum_jpk(N) / f |
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92 | zn2 = MAX( rn2b(ji,1,jk), 0._wp ) |
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93 | zn(ji,1) = zn(ji,1) + SQRT( zn2 ) * fse3w(ji,1,jk) |
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94 | ! Compute elements required for the inverse time scale of baroclinic |
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95 | ! eddies using the isopycnal slopes calculated in ldfslp.F : |
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96 | ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) |
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97 | ze3w = fse3w(ji,1,jk) * tmask(ji,1,jk) |
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98 | zah(ji,1) = zah(ji,1) + zn2 * wslp2(ji,1,jk) * ze3w |
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99 | zhw(ji,1) = zhw(ji,1) + ze3w |
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100 | END DO |
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101 | # else |
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102 | DO jj = 2, jpjm1 |
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103 | !CDIR NOVERRCHK |
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104 | DO ji = 2, jpim1 |
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105 | ! Take the max of N^2 and zero then take the vertical sum |
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106 | ! of the square root of the resulting N^2 ( required to compute |
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107 | ! internal Rossby radius Ro = .5 * sum_jpk(N) / f |
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108 | zn2 = MAX( rn2b(ji,jj,jk), 0._wp ) |
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109 | zn(ji,jj) = zn(ji,jj) + SQRT( zn2 ) * fse3w(ji,jj,jk) |
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110 | ! Compute elements required for the inverse time scale of baroclinic |
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111 | ! eddies using the isopycnal slopes calculated in ldfslp.F : |
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112 | ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) |
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113 | ze3w = fse3w(ji,jj,jk) * tmask(ji,jj,jk) |
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114 | zah(ji,jj) = zah(ji,jj) + zn2 * wslp2(ji,jj,jk) * ze3w |
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115 | zhw(ji,jj) = zhw(ji,jj) + ze3w |
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116 | END DO |
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117 | END DO |
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118 | # endif |
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119 | END DO |
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120 | ELSE |
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121 | DO jk = 1, jpk |
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122 | # if defined key_vectopt_loop |
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123 | !CDIR NOVERRCHK |
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124 | DO ji = 1, jpij ! vector opt. |
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125 | ! Take the max of N^2 and zero then take the vertical sum |
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126 | ! of the square root of the resulting N^2 ( required to compute |
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127 | ! internal Rossby radius Ro = .5 * sum_jpk(N) / f |
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128 | zn2 = MAX( rn2b(ji,1,jk), 0._wp ) |
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129 | zn(ji,1) = zn(ji,1) + SQRT( zn2 ) * fse3w(ji,1,jk) |
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130 | ! Compute elements required for the inverse time scale of baroclinic |
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131 | ! eddies using the isopycnal slopes calculated in ldfslp.F : |
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132 | ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) |
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133 | ze3w = fse3w(ji,1,jk) * tmask(ji,1,jk) |
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134 | zah(ji,1) = zah(ji,1) + zn2 * ( wslpi(ji,1,jk) * wslpi(ji,1,jk) & |
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135 | & + wslpj(ji,1,jk) * wslpj(ji,1,jk) ) * ze3w |
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136 | zhw(ji,1) = zhw(ji,1) + ze3w |
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137 | END DO |
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138 | # else |
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139 | DO jj = 2, jpjm1 |
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140 | !CDIR NOVERRCHK |
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141 | DO ji = 2, jpim1 |
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142 | ! Take the max of N^2 and zero then take the vertical sum |
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143 | ! of the square root of the resulting N^2 ( required to compute |
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144 | ! internal Rossby radius Ro = .5 * sum_jpk(N) / f |
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145 | zn2 = MAX( rn2b(ji,jj,jk), 0._wp ) |
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146 | zn(ji,jj) = zn(ji,jj) + SQRT( zn2 ) * fse3w(ji,jj,jk) |
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147 | ! Compute elements required for the inverse time scale of baroclinic |
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148 | ! eddies using the isopycnal slopes calculated in ldfslp.F : |
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149 | ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) |
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150 | ze3w = fse3w(ji,jj,jk) * tmask(ji,jj,jk) |
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151 | zah(ji,jj) = zah(ji,jj) + zn2 * ( wslpi(ji,jj,jk) * wslpi(ji,jj,jk) & |
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152 | & + wslpj(ji,jj,jk) * wslpj(ji,jj,jk) ) * ze3w |
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153 | zhw(ji,jj) = zhw(ji,jj) + ze3w |
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154 | END DO |
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155 | END DO |
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156 | # endif |
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157 | END DO |
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158 | END IF |
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159 | |
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160 | DO jj = 2, jpjm1 |
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161 | !CDIR NOVERRCHK |
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162 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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163 | zfw = MAX( ABS( 2. * omega * SIN( rad * gphit(ji,jj) ) ) , 1.e-10 ) |
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164 | ! Rossby radius at w-point taken < 40km and > 2km |
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165 | zross(ji,jj) = MAX( MIN( .4 * zn(ji,jj) / zfw, 40.e3 ), 2.e3 ) |
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166 | ! Compute aeiw by multiplying Ro^2 and T^-1 |
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167 | aeiw(ji,jj) = zross(ji,jj) * zross(ji,jj) * SQRT( zah(ji,jj) / zhw(ji,jj) ) * tmask(ji,jj,1) |
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168 | END DO |
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169 | END DO |
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170 | |
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171 | IF( cp_cfg == "orca" .AND. jp_cfg == 2 ) THEN ! ORCA R2 |
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172 | DO jj = 2, jpjm1 |
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173 | !CDIR NOVERRCHK |
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174 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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175 | ! Take the minimum between aeiw and 1000 m2/s over shelves (depth shallower than 650 m) |
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176 | IF( mbkt(ji,jj) <= 20 ) aeiw(ji,jj) = MIN( aeiw(ji,jj), 1000. ) |
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177 | END DO |
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178 | END DO |
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179 | ENDIF |
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180 | |
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181 | ! Decrease the coefficient in the tropics (20N-20S) |
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182 | zf20 = 2._wp * omega * sin( rad * 20._wp ) |
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183 | DO jj = 2, jpjm1 |
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184 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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185 | aeiw(ji,jj) = MIN( 1., ABS( ff(ji,jj) / zf20 ) ) * aeiw(ji,jj) |
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186 | END DO |
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187 | END DO |
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188 | |
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189 | ! ORCA R05: Take the minimum between aeiw and aeiv0 |
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190 | IF( cp_cfg == "orca" .AND. jp_cfg == 05 ) THEN |
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191 | DO jj = 2, jpjm1 |
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192 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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193 | aeiw(ji,jj) = MIN( aeiw(ji,jj), aeiv0 ) |
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194 | END DO |
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195 | END DO |
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196 | ENDIF |
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197 | CALL lbc_lnk( aeiw, 'W', 1. ) ! lateral boundary condition on aeiw |
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198 | |
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199 | |
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200 | ! Average the diffusive coefficient at u- v- points |
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201 | DO jj = 2, jpjm1 |
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202 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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203 | aeiu(ji,jj) = 0.5_wp * ( aeiw(ji,jj) + aeiw(ji+1,jj ) ) |
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204 | aeiv(ji,jj) = 0.5_wp * ( aeiw(ji,jj) + aeiw(ji ,jj+1) ) |
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205 | END DO |
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206 | END DO |
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207 | CALL lbc_lnk( aeiu, 'U', 1. ) ; CALL lbc_lnk( aeiv, 'V', 1. ) ! lateral boundary condition |
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208 | |
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209 | |
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210 | IF(ln_ctl) THEN |
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211 | CALL prt_ctl(tab2d_1=aeiu, clinfo1=' eiv - u: ', ovlap=1) |
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212 | CALL prt_ctl(tab2d_1=aeiv, clinfo1=' eiv - v: ', ovlap=1) |
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213 | ENDIF |
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214 | |
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215 | ! ORCA R05: add a space variation on aht (=aeiv except at the equator and river mouth) |
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216 | IF( cp_cfg == "orca" .AND. jp_cfg == 05 ) THEN |
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217 | zf20 = 2._wp * omega * SIN( rad * 20._wp ) |
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218 | zaht_min = 100._wp ! minimum value for aht |
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219 | DO jj = 1, jpj |
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220 | DO ji = 1, jpi |
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221 | zaht = ( 1._wp - MIN( 1._wp , ABS( ff(ji,jj) / zf20 ) ) ) * ( aht0 - zaht_min ) & |
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222 | & + aht0 * rnfmsk(ji,jj) ! enhanced near river mouths |
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223 | ahtu(ji,jj) = MAX( MAX( zaht_min, aeiu(ji,jj) ) + zaht, aht0 ) |
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224 | ahtv(ji,jj) = MAX( MAX( zaht_min, aeiv(ji,jj) ) + zaht, aht0 ) |
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225 | ahtw(ji,jj) = MAX( MAX( zaht_min, aeiw(ji,jj) ) + zaht, aht0 ) |
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226 | END DO |
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227 | END DO |
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228 | IF(ln_ctl) THEN |
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229 | CALL prt_ctl(tab2d_1=ahtu, clinfo1=' aht - u: ', ovlap=1) |
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230 | CALL prt_ctl(tab2d_1=ahtv, clinfo1=' aht - v: ', ovlap=1) |
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231 | CALL prt_ctl(tab2d_1=ahtw, clinfo1=' aht - w: ', ovlap=1) |
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232 | ENDIF |
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233 | ENDIF |
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234 | |
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235 | IF( aeiv0 == 0._wp ) THEN |
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236 | aeiu(:,:) = 0._wp |
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237 | aeiv(:,:) = 0._wp |
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238 | aeiw(:,:) = 0._wp |
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239 | ENDIF |
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240 | |
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241 | CALL iom_put( "aht2d" , ahtw ) ! lateral eddy diffusivity |
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242 | CALL iom_put( "aht2d_eiv", aeiw ) ! EIV lateral eddy diffusivity |
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243 | ! |
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244 | CALL wrk_dealloc( jpi,jpj, zn, zah, zhw, zross ) |
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245 | ! |
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246 | IF( nn_timing == 1 ) CALL timing_stop('ldf_eiv') |
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247 | ! |
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248 | END SUBROUTINE ldf_eiv |
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249 | |
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250 | #else |
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251 | !!---------------------------------------------------------------------- |
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252 | !! Default option Dummy module |
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253 | !!---------------------------------------------------------------------- |
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254 | CONTAINS |
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255 | SUBROUTINE ldf_eiv( kt ) ! Empty routine |
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256 | INTEGER :: kt |
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257 | WRITE(*,*) 'ldf_eiv: You should not have seen this print! error?', kt |
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258 | END SUBROUTINE ldf_eiv |
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259 | #endif |
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260 | |
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261 | !!====================================================================== |
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262 | END MODULE ldfeiv |
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