1 | MODULE limadv |
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2 | #if defined key_ice_lim |
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3 | !!====================================================================== |
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4 | !! *** MODULE limadv *** |
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5 | !! LIM sea-ice model : sea-ice advection |
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6 | !!====================================================================== |
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7 | |
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8 | !!---------------------------------------------------------------------- |
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9 | !! lim_adv_x : advection of sea ice on x axis |
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10 | !! lim_adv_y : advection of sea ice on y axis |
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11 | !!---------------------------------------------------------------------- |
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12 | !! * Modules used |
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13 | USE dom_oce |
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14 | USE dom_ice |
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15 | USE ice_oce ! ice variables |
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16 | USE in_out_manager ! I/O manager |
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17 | USE lbclnk |
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18 | |
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19 | IMPLICIT NONE |
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20 | PRIVATE |
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21 | |
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22 | !! * Routine accessibility |
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23 | PUBLIC lim_adv_x ! called by lim_trp |
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24 | PUBLIC lim_adv_y ! called by lim_trp |
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25 | |
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26 | !! * Module variables |
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27 | REAL(wp) :: & ! constant values |
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28 | epsi20 = 1e-20 , & |
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29 | rzero = 0.e0 , & |
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30 | rone = 1.e0 |
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31 | !!---------------------------------------------------------------------- |
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32 | !! LIM 2.0 , UCL-LODYC-IPSL (2003) |
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33 | !!---------------------------------------------------------------------- |
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34 | |
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35 | CONTAINS |
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36 | |
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37 | SUBROUTINE lim_adv_x( pdf, put , pcrh, psm , ps0 , & |
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38 | & psx, psxx, psy , psyy, psxy ) |
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39 | !!--------------------------------------------------------------------- |
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40 | !! ** routine lim_adv_x ** |
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41 | !! |
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42 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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43 | !! variable on x axis |
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44 | !! |
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45 | !! ** method : Uses Prather second order scheme that advects |
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46 | !! tracers but also theirquadratic forms. The method preserves |
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47 | !! tracer structures by conserving second order moments. |
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48 | !! Ref.: "Numerical Advection by Conservation of Second Order |
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49 | !! Moments", JGR, VOL. 91. NO. D6. PAGES 6671-6681. MAY 20, 1986 |
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50 | !! |
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51 | !! History : |
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52 | !! ! 00-01 (LIM) |
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53 | !! ! 01-05 (G. Madec, R. Hordoir) opa norm |
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54 | !! ! 03-10 (C. Ethe) F90, module |
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55 | !! ! 03-12 (R. Hordoir, G. Madec) mpp |
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56 | !!-------------------------------------------------------------------- |
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57 | !! * Arguments |
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58 | REAL(wp) , INTENT(in) :: & |
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59 | pdf , & ! ??? |
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60 | pcrh ! = 1. : lim_adv_x is called before lim_adv_y |
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61 | ! ! = 0. : lim_adv_x is called after lim_adv_y |
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62 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: & |
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63 | put ! i-direction ice velocity at ocean U-point (m/s) |
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64 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: & |
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65 | ps0 , psm , & ! ??? |
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66 | psx , psy , & ! ??? |
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67 | psxx, psyy, psxy |
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68 | |
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69 | !! * Local declarations |
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70 | INTEGER :: ji, jj ! dummy loop indices |
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71 | REAL(wp) :: & |
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72 | zrdt, zslpmax, ztemp, zin0, & ! temporary scalars |
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73 | zs1max, zs1new, zs2new, & ! " " |
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74 | zalf, zalfq, zalf1, zalf1q, & ! " " |
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75 | zbt , zbt1 ! " " |
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76 | REAL(wp), DIMENSION(jpi,jpj) :: & ! temporary workspace |
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77 | zf0 , zfx , zfy , zbet, & ! " " |
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78 | zfxx, zfyy, zfxy, & ! " " |
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79 | zfm, zalg, zalg1, zalg1q ! " " |
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80 | !--------------------------------------------------------------------- |
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81 | |
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82 | ! Limitation of moments. |
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83 | |
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84 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
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85 | |
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86 | DO jj = 1, jpj |
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87 | DO ji = 1, jpi |
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88 | zslpmax = MAX( rzero, ps0(ji,jj) ) |
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89 | zs1max = 1.5 * zslpmax |
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90 | zs1new = MIN( zs1max, MAX( -zs1max, psx(ji,jj) ) ) |
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91 | zs2new = MIN( 2.0 * zslpmax - 0.3334 * ABS( zs1new ), & |
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92 | & MAX( ABS( zs1new ) - zslpmax, psxx(ji,jj) ) ) |
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93 | zin0 = ( 1.0 - MAX( rzero, sign ( rone, -zslpmax) ) ) * tms(ji,jj) ! Case of empty boxes & Apply mask |
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94 | |
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95 | ps0 (ji,jj) = zslpmax |
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96 | psx (ji,jj) = zs1new * zin0 |
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97 | psxx(ji,jj) = zs2new * zin0 |
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98 | psy (ji,jj) = psy (ji,jj) * zin0 |
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99 | psyy(ji,jj) = psyy(ji,jj) * zin0 |
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100 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * zin0 |
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101 | END DO |
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102 | END DO |
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103 | |
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104 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
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105 | psm (:,:) = MAX( pcrh * area(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
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106 | |
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107 | ! Calculate fluxes and moments between boxes i<-->i+1 |
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108 | DO jj = 2, jpjm1 ! Flux from i to i+1 WHEN u GT 0 |
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109 | !i bug DO ji = 1, jpim1 |
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110 | !i DO jj = 1, jpj ! Flux from i to i+1 WHEN u GT 0 |
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111 | DO ji = 1, jpi |
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112 | zbet(ji,jj) = MAX( rzero, SIGN( rone, put(ji,jj) ) ) |
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113 | zalf = MAX( rzero, put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji,jj) |
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114 | zalfq = zalf * zalf |
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115 | zalf1 = 1.0 - zalf |
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116 | zalf1q = zalf1 * zalf1 |
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117 | zfm (ji,jj) = zalf * psm(ji,jj) |
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118 | zf0 (ji,jj) = zalf * ( ps0(ji,jj) + zalf1 * ( psx(ji,jj) + (zalf1 - zalf) * psxx(ji,jj) ) ) |
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119 | zfx (ji,jj) = zalfq * ( psx(ji,jj) + 3.0 * zalf1 * psxx(ji,jj) ) |
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120 | zfxx(ji,jj) = zalf * zalfq * psxx(ji,jj) |
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121 | zfy (ji,jj) = zalf * ( psy(ji,jj) + zalf1 * psxy(ji,jj) ) |
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122 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
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123 | zfyy(ji,jj) = zalf * psyy(ji,jj) |
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124 | |
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125 | ! Readjust moments remaining in the box. |
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126 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
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127 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
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128 | psx (ji,jj) = zalf1q * ( psx(ji,jj) - 3.0 * zalf * psxx(ji,jj) ) |
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129 | psxx(ji,jj) = zalf1 * zalf1q * psxx(ji,jj) |
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130 | psy (ji,jj) = psy (ji,jj) - zfy(ji,jj) |
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131 | psyy(ji,jj) = psyy(ji,jj) - zfyy(ji,jj) |
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132 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
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133 | END DO |
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134 | END DO |
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135 | |
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136 | DO jj = 2, jpjm1 ! Flux from i+1 to i when u LT 0. |
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137 | !i DO jj = 1, jpjm1 ! Flux from i+1 to i when u LT 0. |
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138 | DO ji = 1, jpim1 |
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139 | zalf = MAX( rzero, -put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji+1,jj) |
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140 | zalg (ji,jj) = zalf |
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141 | zalfq = zalf * zalf |
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142 | zalf1 = 1.0 - zalf |
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143 | zalg1 (ji,jj) = zalf1 |
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144 | zalf1q = zalf1 * zalf1 |
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145 | zalg1q(ji,jj) = zalf1q |
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146 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm(ji+1,jj) |
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147 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0(ji+1,jj) - zalf1 * ( psx(ji+1,jj) - (zalf1 - zalf ) * psxx(ji+1,jj) ) ) |
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148 | zfx (ji,jj) = zfx (ji,jj) + zalfq * ( psx(ji+1,jj) - 3.0 * zalf1 * psxx(ji+1,jj) ) |
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149 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * zalfq * psxx(ji+1,jj) |
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150 | zfy (ji,jj) = zfy (ji,jj) + zalf * ( psy(ji+1,jj) - zalf1 * psxy(ji+1,jj) ) |
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151 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji+1,jj) |
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152 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji+1,jj) |
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153 | END DO |
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154 | END DO |
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155 | |
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156 | DO jj = 2, jpjm1 ! Readjust moments remaining in the box. |
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157 | DO ji = 2, jpim1 |
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158 | zbt = zbet(ji-1,jj) |
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159 | zbt1 = 1.0 - zbet(ji-1,jj) |
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160 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji-1,jj) ) |
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161 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji-1,jj) ) |
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162 | psx (ji,jj) = zalg1q(ji-1,jj) * ( psx(ji,jj) + 3.0 * zalg(ji-1,jj) * psxx(ji,jj) ) |
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163 | psxx(ji,jj) = zalg1 (ji-1,jj) * zalg1q(ji-1,jj) * psxx(ji,jj) |
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164 | psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) - zfy (ji-1,jj) ) |
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165 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) - zfyy(ji-1,jj) ) |
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166 | psxy(ji,jj) = zalg1q(ji-1,jj) * psxy(ji,jj) |
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167 | END DO |
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168 | END DO |
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169 | |
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170 | ! Put the temporary moments into appropriate neighboring boxes. |
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171 | DO jj = 2, jpjm1 ! Flux from i to i+1 IF u GT 0. |
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172 | DO ji = 2, jpim1 |
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173 | zbt = zbet(ji-1,jj) |
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174 | zbt1 = 1.0 - zbet(ji-1,jj) |
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175 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji-1,jj) ) + zbt1 * psm(ji,jj) |
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176 | zalf = zbt * zfm(ji-1,jj) / psm(ji,jj) |
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177 | zalf1 = 1.0 - zalf |
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178 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji-1,jj) |
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179 | ps0(ji,jj) = zbt * (ps0(ji,jj) + zf0(ji-1,jj)) + zbt1 * ps0(ji,jj) |
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180 | psx(ji,jj) = zbt * ( zalf * zfx(ji-1,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) + zbt1 * psx(ji,jj) |
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181 | psxx(ji,jj) = zbt * ( zalf * zalf * zfxx(ji-1,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
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182 | & + 5.0 * ( zalf * zalf1 * ( psx (ji,jj) - zfx(ji-1,jj) ) - ( zalf1 - zalf ) * ztemp ) ) & |
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183 | & + zbt1 * psxx(ji,jj) |
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184 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji-1,jj) + zalf1 * psxy(ji,jj) & |
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185 | & + 3.0 * (- zalf1*zfy(ji-1,jj) + zalf * psy(ji,jj) ) ) & |
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186 | & + zbt1 * psxy(ji,jj) |
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187 | psy (ji,jj) = zbt * ( psy (ji,jj) + zfy (ji-1,jj) ) + zbt1 * psy (ji,jj) |
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188 | psyy(ji,jj) = zbt * ( psyy(ji,jj) + zfyy(ji-1,jj) ) + zbt1 * psyy(ji,jj) |
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189 | END DO |
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190 | END DO |
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191 | |
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192 | DO jj = 2, jpjm1 ! Flux from i+1 to i IF u LT 0. |
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193 | DO ji = 2, jpim1 |
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194 | zbt = zbet(ji,jj) |
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195 | zbt1 = 1.0 - zbet(ji,jj) |
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196 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
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197 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
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198 | zalf1 = 1.0 - zalf |
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199 | ztemp = -zalf * ps0(ji,jj) + zalf1 * zf0(ji,jj) |
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200 | ps0(ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
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201 | psx(ji,jj) = zbt * psx(ji,jj) & |
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202 | & + zbt1 * ( zalf * zfx(ji,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) |
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203 | psxx(ji,jj) = zbt * psxx(ji,jj) & |
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204 | & + zbt1 * ( zalf * zalf * zfxx(ji,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
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205 | & + 5.0 *( zalf * zalf1 * ( - psx(ji,jj) + zfx(ji,jj) ) + ( zalf1 - zalf ) * ztemp ) ) |
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206 | psxy(ji,jj) = zbt * psxy(ji,jj) & |
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207 | & + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
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208 | & + 3.0 * ( zalf1 * zfy(ji,jj) - zalf * psy(ji,jj) ) ) |
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209 | psy(ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) + zfy (ji,jj) ) |
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210 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) + zfyy(ji,jj) ) |
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211 | END DO |
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212 | END DO |
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213 | |
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214 | !-- Lateral boundary conditions |
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215 | CALL lbc_lnk( psm , 'T', 1. ) |
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216 | CALL lbc_lnk( ps0 , 'T', 1. ) |
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217 | CALL lbc_lnk( psx , 'T', 1. ) |
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218 | CALL lbc_lnk( psxx, 'T', 1. ) |
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219 | CALL lbc_lnk( psy , 'T', 1. ) |
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220 | CALL lbc_lnk( psyy, 'T', 1. ) |
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221 | CALL lbc_lnk( psxy, 'T', 1. ) |
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222 | |
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223 | IF( l_ctl .AND. lwp ) THEN |
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224 | WRITE(numout,*) ' lim_adv_x: psm ', SUM( psm ), ' ps0 ', SUM( ps0 ) |
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225 | WRITE(numout,*) ' lim_adv_x: psx ', SUM( psx ), ' psxx ', SUM( psxx ) |
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226 | WRITE(numout,*) ' lim_adv_x: psy ', SUM( psy ), ' psyy ', SUM( psyy ) |
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227 | WRITE(numout,*) ' lim_adv_x: psxy ', SUM( psxy ) |
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228 | ENDIF |
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229 | |
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230 | END SUBROUTINE lim_adv_x |
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231 | |
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232 | |
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233 | SUBROUTINE lim_adv_y( pdf, pvt , pcrh, psm , ps0 , & |
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234 | & psx, psxx, psy , psyy, psxy ) |
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235 | !!--------------------------------------------------------------------- |
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236 | !! ** routine lim_adv_y ** |
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237 | !! |
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238 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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239 | !! variable on y axis |
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240 | !! |
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241 | !! ** method : Uses Prather second order scheme that advects tracers |
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242 | !! but also their quadratic forms. The method preserves tracer |
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243 | !! structures by conserving second order moments. |
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244 | !! |
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245 | !! History : |
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246 | !! 1.0 ! 00-01 (LIM) |
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247 | !! ! 01-05 (G. Madec, R. Hordoir) opa norm |
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248 | !! 2.0 ! 03-10 (C. Ethe) F90, module |
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249 | !! ! 03-12 (R. Hordoir, G. Madec) mpp |
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250 | !!--------------------------------------------------------------------- |
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251 | !! * Arguments |
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252 | REAL(wp), INTENT(in) :: & |
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253 | pdf, & ! ??? |
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254 | pcrh ! = 1. : lim_adv_x is called before lim_adv_y |
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255 | ! ! = 0. : lim_adv_x is called after lim_adv_y |
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256 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: & |
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257 | pvt ! j-direction ice velocity at ocean V-point (m/s) |
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258 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: & |
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259 | psm , ps0 , psx , psy, & |
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260 | psxx, psyy, psxy |
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261 | |
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262 | !! * Local Variables |
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263 | INTEGER :: ji, jj ! dummy loop indices |
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264 | REAL(wp) :: & |
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265 | zrdt, zslpmax, zin0, ztemp, & ! temporary scalars |
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266 | zs1max, zs1new, zs2new, & ! " " |
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267 | zalf, zalfq, zalf1, zalf1q, & ! " " |
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268 | zbt , zbt1 ! |
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269 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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270 | zf0 , zfx , zfy , & ! temporary workspace |
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271 | zfxx, zfyy, zfxy, & ! " " |
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272 | zfm , zbet, & ! " " |
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273 | zalg, zalg1, zalg1q ! " " |
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274 | !--------------------------------------------------------------------- |
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275 | |
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276 | ! Limitation of moments. |
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277 | |
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278 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
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279 | |
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280 | DO jj = 1, jpj |
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281 | DO ji = 1, jpi |
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282 | zslpmax = MAX( rzero, ps0(ji,jj) ) |
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283 | zs1max = 1.5 * zslpmax |
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284 | zs1new = MIN( zs1max, MAX( -zs1max, psy(ji,jj) ) ) |
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285 | zs2new = MIN( ( 2.0 * zslpmax - 0.3334 * ABS( zs1new ) ), & |
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286 | & MAX( ABS( zs1new )-zslpmax, psyy(ji,jj) ) ) |
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287 | zin0 = ( 1.0 - MAX( rzero, sign ( rone, -zslpmax) ) ) * tms(ji,jj) ! Case of empty boxes & Apply mask |
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288 | ps0 (ji,jj) = zslpmax |
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289 | psx (ji,jj) = psx (ji,jj) * zin0 |
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290 | psxx(ji,jj) = psxx(ji,jj) * zin0 |
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291 | psy (ji,jj) = zs1new * zin0 |
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292 | psyy(ji,jj) = zs2new * zin0 |
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293 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * zin0 |
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294 | END DO |
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295 | END DO |
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296 | |
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297 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
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298 | psm (:,:) = MAX( pcrh * area(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
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299 | |
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300 | ! Calculate fluxes and moments between boxes j<-->j+1 |
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301 | !!bug DO jj = 2, jpjm1 |
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302 | DO jj = 1, jpj |
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303 | DO ji = 2, jpim1 |
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304 | !!bug DO ji = 1, jpim1 |
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305 | ! Flux from j to j+1 WHEN v GT 0 |
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306 | zbet(ji,jj) = MAX( rzero, SIGN( rone, pvt(ji,jj) ) ) |
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307 | zalf = MAX( rzero, pvt(ji,jj) ) * zrdt * e1v(ji,jj) / psm(ji,jj) |
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308 | zalfq = zalf * zalf |
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309 | zalf1 = 1.0 - zalf |
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310 | zalf1q = zalf1 * zalf1 |
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311 | zfm (ji,jj) = zalf * psm(ji,jj) |
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312 | zf0 (ji,jj) = zalf * ( ps0(ji,jj) + zalf1 * ( psy(ji,jj) + (zalf1-zalf) * psyy(ji,jj) ) ) |
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313 | zfy (ji,jj) = zalfq *( psy(ji,jj) + 3.0*zalf1*psyy(ji,jj) ) |
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314 | zfyy(ji,jj) = zalf * zalfq * psyy(ji,jj) |
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315 | zfx (ji,jj) = zalf * ( psx(ji,jj) + zalf1 * psxy(ji,jj) ) |
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316 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
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317 | zfxx(ji,jj) = zalf * psxx(ji,jj) |
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318 | |
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319 | ! Readjust moments remaining in the box. |
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320 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
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321 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
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322 | psy (ji,jj) = zalf1q * ( psy(ji,jj) -3.0 * zalf * psyy(ji,jj) ) |
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323 | psyy(ji,jj) = zalf1 * zalf1q * psyy(ji,jj) |
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324 | psx (ji,jj) = psx (ji,jj) - zfx(ji,jj) |
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325 | psxx(ji,jj) = psxx(ji,jj) - zfxx(ji,jj) |
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326 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
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327 | END DO |
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328 | END DO |
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329 | |
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330 | DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. |
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331 | DO ji = 2, jpim1 |
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332 | !i DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. |
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333 | !i DO ji = 2, jpim1 |
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334 | zalf = ( MAX(rzero, -pvt(ji,jj) ) * zrdt * e1v(ji,jj) ) / psm(ji,jj+1) |
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335 | zalg (ji,jj) = zalf |
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336 | zalfq = zalf * zalf |
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337 | zalf1 = 1.0 - zalf |
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338 | zalg1 (ji,jj) = zalf1 |
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339 | zalf1q = zalf1 * zalf1 |
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340 | zalg1q(ji,jj) = zalf1q |
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341 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm(ji,jj+1) |
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342 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0(ji,jj+1) - zalf1 * (psy(ji,jj+1) - (zalf1 - zalf ) * psyy(ji,jj+1) ) ) |
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343 | zfy (ji,jj) = zfy (ji,jj) + zalfq * ( psy(ji,jj+1) - 3.0 * zalf1 * psyy(ji,jj+1) ) |
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344 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * zalfq * psyy(ji,jj+1) |
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345 | zfx (ji,jj) = zfx (ji,jj) + zalf * ( psx(ji,jj+1) - zalf1 * psxy(ji,jj+1) ) |
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346 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji,jj+1) |
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347 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji,jj+1) |
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348 | END DO |
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349 | END DO |
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350 | |
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351 | ! Readjust moments remaining in the box. |
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352 | DO jj = 2, jpjm1 |
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353 | DO ji = 2, jpim1 |
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354 | zbt = zbet(ji,jj-1) |
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355 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
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356 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji,jj-1) ) |
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357 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji,jj-1) ) |
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358 | psy (ji,jj) = zalg1q(ji,jj-1) * ( psy(ji,jj) + 3.0 * zalg(ji,jj-1) * psyy(ji,jj) ) |
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359 | psyy(ji,jj) = zalg1 (ji,jj-1) * zalg1q(ji,jj-1) * psyy(ji,jj) |
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360 | psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) - zfx (ji,jj-1) ) |
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361 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) - zfxx(ji,jj-1) ) |
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362 | psxy(ji,jj) = zalg1q(ji,jj-1) * psxy(ji,jj) |
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363 | END DO |
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364 | END DO |
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365 | |
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366 | ! Put the temporary moments into appropriate neighboring boxes. |
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367 | DO jj = 2, jpjm1 ! Flux from j to j+1 IF v GT 0. |
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368 | DO ji = 2, jpim1 |
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369 | zbt = zbet(ji,jj-1) |
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370 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
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371 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji,jj-1) ) + zbt1 * psm(ji,jj) |
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372 | zalf = zbt * zfm(ji,jj-1) / psm(ji,jj) |
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373 | zalf1 = 1.0 - zalf |
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374 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji,jj-1) |
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375 | ps0(ji,jj) = zbt * (ps0(ji,jj) + zf0(ji,jj-1)) + zbt1 * ps0(ji,jj) |
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376 | |
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377 | psy(ji,jj) = zbt * ( zalf * zfy(ji,jj-1) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) & |
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378 | & + zbt1 * psy(ji,jj) |
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379 | |
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380 | psyy(ji,jj) = zbt * ( zalf * zalf * zfyy(ji,jj-1) + zalf1 * zalf1 * psyy(ji,jj) & |
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381 | & + 5.0 * ( zalf * zalf1 * ( psy(ji,jj) - zfy(ji,jj-1) ) - ( zalf1 - zalf ) * ztemp ) ) & |
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382 | & + zbt1 * psyy(ji,jj) |
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383 | |
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384 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji,jj-1) + zalf1 * psxy(ji,jj) & |
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385 | + 3.0 * (- zalf1 * zfx(ji,jj-1) + zalf * psx(ji,jj) ) ) & |
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386 | + zbt1 * psxy(ji,jj) |
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387 | psx (ji,jj) = zbt * ( psx (ji,jj) + zfx (ji,jj-1) ) + zbt1 * psx (ji,jj) |
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388 | psxx(ji,jj) = zbt * ( psxx(ji,jj) + zfxx(ji,jj-1) ) + zbt1 * psxx(ji,jj) |
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389 | END DO |
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390 | END DO |
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391 | |
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392 | DO jj = 2, jpjm1 ! Flux from j+1 to j IF v LT 0. |
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393 | DO ji = 2, jpim1 |
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394 | zbt = zbet(ji,jj) |
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395 | zbt1 = ( 1.0 - zbet(ji,jj) ) |
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396 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
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397 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
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398 | zalf1 = 1.0 - zalf |
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399 | ztemp = -zalf * ps0(ji,jj) + zalf1 * zf0(ji,jj) |
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400 | ps0(ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
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401 | psy(ji,jj) = zbt * psy(ji,jj) & |
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402 | & + zbt1 * ( zalf*zfy(ji,jj) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) |
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403 | psyy(ji,jj) = zbt * psyy(ji,jj) & |
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404 | & + zbt1 * ( zalf * zalf * zfyy(ji,jj) + zalf1 * zalf1 * psyy(ji,jj) & |
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405 | & + 5.0 *( zalf *zalf1 *( -psy(ji,jj) + zfy(ji,jj) ) + ( zalf1 - zalf ) * ztemp ) ) |
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406 | psxy(ji,jj) = zbt * psxy(ji,jj) & |
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407 | & + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
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408 | & + 3.0 * ( zalf1 * zfx(ji,jj) - zalf * psx(ji,jj) ) ) |
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409 | psx(ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) + zfx (ji,jj) ) |
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410 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) + zfxx(ji,jj) ) |
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411 | END DO |
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412 | END DO |
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413 | |
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414 | !-- Lateral boundary conditions |
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415 | CALL lbc_lnk( psm , 'T', 1. ) |
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416 | CALL lbc_lnk( ps0 , 'T', 1. ) |
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417 | CALL lbc_lnk( psx , 'T', 1. ) |
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418 | CALL lbc_lnk( psxx, 'T', 1. ) |
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419 | CALL lbc_lnk( psy , 'T', 1. ) |
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420 | CALL lbc_lnk( psyy, 'T', 1. ) |
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421 | CALL lbc_lnk( psxy, 'T', 1. ) |
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422 | |
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423 | IF( l_ctl .AND. lwp ) THEN |
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424 | WRITE(numout,*) ' lim_adv_y: psm ', SUM( psm ), ' ps0 ', SUM( ps0 ) |
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425 | WRITE(numout,*) ' lim_adv_y: psx ', SUM( psx ), ' psxx ', SUM( psxx ) |
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426 | WRITE(numout,*) ' lim_adv_y: psy ', SUM( psy ), ' psyy ', SUM( psyy ) |
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427 | WRITE(numout,*) ' lim_adv_y: psxy ', SUM( psxy ) |
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428 | ENDIF |
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429 | |
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430 | END SUBROUTINE lim_adv_y |
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431 | |
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432 | !!====================================================================== |
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433 | #else |
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434 | !!============================================================================== |
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435 | !! *** MODULE limadv *** |
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436 | !! No sea ice |
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437 | !!============================================================================== |
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438 | CONTAINS |
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439 | SUBROUTINE lim_adv_x ! Empty routine |
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440 | END SUBROUTINE lim_adv_x |
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441 | SUBROUTINE lim_adv_y ! Empty routine |
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442 | END SUBROUTINE lim_adv_y |
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443 | |
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444 | #endif |
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445 | |
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446 | END MODULE limadv |
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