1 | MODULE limthd_sal |
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2 | !!====================================================================== |
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3 | !! *** MODULE limthd_sal *** |
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4 | !! LIM-3 sea-ice : computation of salinity variations in the ice |
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5 | !!====================================================================== |
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6 | !! History : - ! 2003-05 (M. Vancoppenolle) UCL-ASTR first coding for LIM3-1D |
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7 | !! 3.0 ! 2005-12 (M. Vancoppenolle) adapted to the 3-D version |
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8 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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9 | !!--------------------------------------------------------------------- |
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10 | #if defined key_lim3 |
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11 | !!---------------------------------------------------------------------- |
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12 | !! 'key_lim3' LIM-3 sea-ice model |
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13 | !!---------------------------------------------------------------------- |
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14 | !! lim_thd_sal : salinity variations in the ice |
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15 | !!---------------------------------------------------------------------- |
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16 | USE par_oce ! ocean parameters |
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17 | USE phycst ! physical constants (ocean directory) |
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18 | USE sbc_oce ! Surface boundary condition: ocean fields |
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19 | USE ice ! LIM variables |
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20 | USE par_ice ! LIM parameters |
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21 | USE thd_ice ! LIM thermodynamics |
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22 | USE limvar ! LIM variables |
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23 | USE in_out_manager ! I/O manager |
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24 | USE lib_mpp ! MPP library |
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25 | USE wrk_nemo ! work arrays |
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26 | |
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27 | IMPLICIT NONE |
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28 | PRIVATE |
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29 | |
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30 | PUBLIC lim_thd_sal ! called by limthd module |
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31 | PUBLIC lim_thd_sal_init ! called by iceini module |
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32 | |
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33 | !!---------------------------------------------------------------------- |
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34 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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35 | !! $Id$ |
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36 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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37 | !!---------------------------------------------------------------------- |
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38 | CONTAINS |
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39 | |
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40 | SUBROUTINE lim_thd_sal( kideb, kiut ) |
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41 | !!------------------------------------------------------------------- |
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42 | !! *** ROUTINE lim_thd_sal *** |
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43 | !! |
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44 | !! ** Purpose : computes new salinities in the ice |
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45 | !! |
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46 | !! ** Method : 4 possibilities |
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47 | !! -> num_sal = 1 -> constant salinity for z,t |
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48 | !! -> num_sal = 2 -> S = S(z,t) [simple Vancoppenolle et al 2005] |
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49 | !! -> num_sal = 3 -> S = S(z) [multiyear ice] |
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50 | !! -> num_sal = 4 -> S = S(h) [Cox and Weeks 74] |
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51 | !!--------------------------------------------------------------------- |
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52 | INTEGER, INTENT(in) :: kideb, kiut ! thickness category index |
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53 | ! |
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54 | INTEGER :: ji, jk ! dummy loop indices |
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55 | INTEGER :: zji, zjj ! local integers |
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56 | REAL(wp) :: zsold, iflush, iaccrbo, igravdr, isnowic, i_ice_switch, ztmelts ! local scalars |
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57 | REAL(wp) :: zaaa, zbbb, zccc, zdiscrim ! local scalars |
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58 | REAL(wp), POINTER, DIMENSION(:) :: ze_init, zhiold, zsiold |
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59 | !!--------------------------------------------------------------------- |
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60 | |
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61 | CALL wrk_alloc( jpij, ze_init, zhiold, zsiold ) |
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62 | |
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63 | !------------------------------------------------------------------------------| |
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64 | ! 1) Constant salinity, constant in time | |
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65 | !------------------------------------------------------------------------------| |
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66 | !!gm comment: if num_sal = 1 s_i_b and sm_i_b can be set to bulk_sal one for all in the initialisation phase !! |
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67 | IF( num_sal == 1 ) THEN |
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68 | ! |
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69 | DO jk = 1, nlay_i |
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70 | DO ji = kideb, kiut |
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71 | s_i_b(ji,jk) = bulk_sal |
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72 | END DO ! ji |
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73 | END DO ! jk |
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74 | ! |
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75 | DO ji = kideb, kiut |
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76 | sm_i_b(ji) = bulk_sal |
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77 | END DO ! ji |
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78 | ! |
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79 | ENDIF |
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80 | |
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81 | !------------------------------------------------------------------------------| |
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82 | ! Module 2 : Constant salinity varying in time | |
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83 | !------------------------------------------------------------------------------| |
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84 | |
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85 | IF( num_sal == 2 .OR. num_sal == 4 ) THEN |
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86 | |
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87 | !--------------------------------- |
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88 | ! Thickness at previous time step |
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89 | !--------------------------------- |
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90 | DO ji = kideb, kiut |
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91 | zhiold(ji) = ht_i_b(ji) - dh_i_bott(ji) - dh_snowice(ji) - dh_i_surf(ji) |
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92 | END DO |
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93 | |
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94 | !--------------------- |
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95 | ! Global heat content |
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96 | !--------------------- |
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97 | ze_init(:) = 0._wp |
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98 | DO jk = 1, nlay_i |
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99 | DO ji = kideb, kiut |
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100 | ze_init(ji) = ze_init(ji) + q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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101 | END DO |
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102 | END DO |
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103 | |
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104 | DO ji = kideb, kiut |
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105 | ! |
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106 | ! Switches |
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107 | !---------- |
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108 | iflush = MAX( 0._wp , SIGN( 1.0 , t_su_b(ji) - rtt ) ) ! =1 if summer |
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109 | igravdr = MAX( 0._wp , SIGN( 1.0 , t_bo_b(ji) - t_su_b(ji) ) ) ! =1 if t_su < t_bo |
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110 | iaccrbo = MAX( 0._wp , SIGN( 1.0 , dh_i_bott(ji) ) ) ! =1 if bottom accretion |
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111 | i_ice_switch = 1._wp - MAX ( 0._wp , SIGN( 1._wp , - ht_i_b(ji) + 1.e-2 ) ) |
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112 | isnowic = 1._wp - MAX ( 0._wp , SIGN( 1._wp , - dh_snowice(ji) ) ) * i_ice_switch ! =1 if snow ice formation |
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113 | |
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114 | !--------------------- |
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115 | ! Salinity tendencies |
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116 | !--------------------- |
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117 | ! ! drainage by gravity drainage |
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118 | dsm_i_gd_1d(ji) = - igravdr * MAX( sm_i_b(ji) - sal_G , 0._wp ) / time_G * rdt_ice |
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119 | ! ! drainage by flushing |
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120 | dsm_i_fl_1d(ji) = - iflush * MAX( sm_i_b(ji) - sal_F , 0._wp ) / time_F * rdt_ice |
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121 | |
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122 | !----------------- |
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123 | ! Update salinity |
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124 | !----------------- |
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125 | ! only drainage terms ( gravity drainage and flushing ) |
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126 | ! snow ice / bottom sources are added in lim_thd_ent to conserve energy |
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127 | zsiold(ji) = sm_i_b(ji) |
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128 | sm_i_b(ji) = sm_i_b(ji) + dsm_i_fl_1d(ji) + dsm_i_gd_1d(ji) |
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129 | |
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130 | ! if no ice, salinity = 0.1 |
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131 | i_ice_switch = 1._wp - MAX ( 0._wp, SIGN( 1._wp , - ht_i_b(ji) ) ) |
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132 | sm_i_b(ji) = i_ice_switch * sm_i_b(ji) + s_i_min * ( 1._wp - i_ice_switch ) |
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133 | END DO ! ji |
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134 | |
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135 | ! Salinity profile |
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136 | CALL lim_var_salprof1d( kideb, kiut ) |
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137 | |
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138 | !---------------------------- |
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139 | ! Heat flux - brine drainage |
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140 | !---------------------------- |
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141 | |
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142 | DO ji = kideb, kiut |
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143 | !!gm useless |
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144 | ! iflush : 1 if summer |
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145 | iflush = MAX( 0._wp , SIGN ( 1._wp , t_su_b(ji) - rtt ) ) |
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146 | ! igravdr : 1 if t_su lt t_bo |
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147 | igravdr = MAX( 0._wp , SIGN ( 1._wp , t_bo_b(ji) - t_su_b(ji) ) ) |
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148 | ! iaccrbo : 1 if bottom accretion |
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149 | iaccrbo = MAX( 0._wp , SIGN ( 1._wp , dh_i_bott(ji) ) ) |
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150 | !!gm end useless |
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151 | ! |
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152 | fhbri_1d(ji) = 0._wp |
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153 | END DO ! ji |
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154 | |
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155 | !---------------------------- |
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156 | ! Salt flux - brine drainage |
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157 | !---------------------------- |
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158 | DO ji = kideb, kiut |
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159 | i_ice_switch = 1._wp - MAX ( 0._wp, SIGN( 1._wp , - ht_i_b(ji) ) ) |
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160 | fsbri_1d(ji) = fsbri_1d(ji) - i_ice_switch * rhoic * a_i_b(ji) * ht_i_b(ji) & |
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161 | & * ( MAX(dsm_i_gd_1d(ji) + dsm_i_fl_1d(ji), sm_i_b(ji) - zsiold(ji) ) ) / rdt_ice |
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162 | IF( num_sal == 4 ) fsbri_1d(ji) = 0._wp |
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163 | END DO ! ji |
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164 | |
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165 | ! Only necessary for conservation check since salinity is modified |
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166 | !-------------------- |
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167 | ! Temperature update |
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168 | !-------------------- |
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169 | DO jk = 1, nlay_i |
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170 | DO ji = kideb, kiut |
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171 | ztmelts = -tmut*s_i_b(ji,jk) + rtt |
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172 | !Conversion q(S,T) -> T (second order equation) |
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173 | zaaa = cpic |
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174 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + q_i_b(ji,jk) / rhoic - lfus |
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175 | zccc = lfus * ( ztmelts - rtt ) |
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176 | zdiscrim = SQRT( MAX( zbbb*zbbb - 4.0*zaaa*zccc, 0._wp ) ) |
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177 | t_i_b(ji,jk) = rtt - ( zbbb + zdiscrim ) / ( 2.0 *zaaa ) |
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178 | END DO |
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179 | END DO |
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180 | ! |
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181 | ENDIF ! num_sal .EQ. 2 |
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182 | |
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183 | !------------------------------------------------------------------------------| |
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184 | ! Module 3 : Profile of salinity, constant in time | |
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185 | !------------------------------------------------------------------------------| |
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186 | |
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187 | IF( num_sal == 3 ) CALL lim_var_salprof1d( kideb, kiut ) |
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188 | |
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189 | !------------------------------------------------------------------------------| |
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190 | ! Module 4 : Constant salinity varying in time | |
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191 | !------------------------------------------------------------------------------| |
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192 | |
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193 | IF( num_sal == 5 ) THEN ! Cox and Weeks, 1974 |
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194 | ! |
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195 | DO ji = kideb, kiut |
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196 | zsold = sm_i_b(ji) |
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197 | IF( ht_i_b(ji) < 0.4 ) THEN |
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198 | sm_i_b(ji) = 14.24 - 19.39 * ht_i_b(ji) |
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199 | ELSE |
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200 | sm_i_b(ji) = 7.88 - 1.59 * ht_i_b(ji) |
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201 | sm_i_b(ji) = MIN( sm_i_b(ji) , zsold ) |
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202 | ENDIF |
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203 | IF( ht_i_b(ji) > 3.06918239 ) THEN |
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204 | sm_i_b(ji) = 3._wp |
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205 | ENDIF |
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206 | DO jk = 1, nlay_i |
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207 | s_i_b(ji,jk) = sm_i_b(ji) |
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208 | END DO |
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209 | END DO |
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210 | ! |
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211 | ENDIF ! num_sal |
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212 | |
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213 | !------------------------------------------------------------------------------| |
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214 | ! 5) Computation of salt flux due to Bottom growth |
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215 | !------------------------------------------------------------------------------| |
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216 | |
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217 | IF ( num_sal == 4 ) THEN |
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218 | DO ji = kideb, kiut |
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219 | zji = MOD( npb(ji) - 1 , jpi ) + 1 |
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220 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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221 | fseqv_1d(ji) = fseqv_1d(ji) + ( sss_m(zji,zjj) - bulk_sal ) & |
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222 | & * rhoic * a_i_b(ji) * MAX( dh_i_bott(ji) , 0.0 ) / rdt_ice |
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223 | END DO |
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224 | ELSE |
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225 | DO ji = kideb, kiut |
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226 | zji = MOD( npb(ji) - 1 , jpi ) + 1 |
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227 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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228 | fseqv_1d(ji) = fseqv_1d(ji) + ( sss_m(zji,zjj) - s_i_new(ji) ) & |
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229 | & * rhoic * a_i_b(ji) * MAX( dh_i_bott(ji) , 0.0 ) / rdt_ice |
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230 | END DO |
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231 | ENDIF |
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232 | ! |
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233 | CALL wrk_dealloc( jpij, ze_init, zhiold, zsiold ) |
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234 | ! |
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235 | END SUBROUTINE lim_thd_sal |
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236 | |
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237 | |
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238 | SUBROUTINE lim_thd_sal_init |
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239 | !!------------------------------------------------------------------- |
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240 | !! *** ROUTINE lim_thd_sal_init *** |
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241 | !! |
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242 | !! ** Purpose : initialization of ice salinity parameters |
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243 | !! |
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244 | !! ** Method : Read the namicesal namelist and check the parameter |
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245 | !! values called at the first timestep (nit000) |
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246 | !! |
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247 | !! ** input : Namelist namicesal |
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248 | !!------------------------------------------------------------------- |
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249 | NAMELIST/namicesal/ num_sal, bulk_sal, sal_G, time_G, sal_F, time_F, & |
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250 | & s_i_max, s_i_min, s_i_0, s_i_1 |
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251 | !!------------------------------------------------------------------- |
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252 | ! |
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253 | REWIND( numnam_ice ) ! Read Namelist namicesal |
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254 | READ ( numnam_ice , namicesal ) |
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255 | ! |
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256 | IF(lwp) THEN ! control print |
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257 | WRITE(numout,*) |
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258 | WRITE(numout,*) 'lim_thd_sal_init : Ice parameters for salinity ' |
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259 | WRITE(numout,*) '~~~~~~~~~~~~~~~~' |
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260 | WRITE(numout,*) ' switch for salinity num_sal : ', num_sal |
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261 | WRITE(numout,*) ' bulk salinity value if num_sal = 1 : ', bulk_sal |
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262 | WRITE(numout,*) ' restoring salinity for GD : ', sal_G |
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263 | WRITE(numout,*) ' restoring time for GD : ', time_G |
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264 | WRITE(numout,*) ' restoring salinity for flushing : ', sal_F |
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265 | WRITE(numout,*) ' restoring time for flushing : ', time_F |
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266 | WRITE(numout,*) ' Maximum tolerated ice salinity : ', s_i_max |
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267 | WRITE(numout,*) ' Minimum tolerated ice salinity : ', s_i_min |
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268 | WRITE(numout,*) ' 1st salinity for salinity profile : ', s_i_0 |
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269 | WRITE(numout,*) ' 2nd salinity for salinity profile : ', s_i_1 |
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270 | ENDIF |
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271 | ! |
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272 | END SUBROUTINE lim_thd_sal_init |
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273 | |
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274 | #else |
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275 | !!---------------------------------------------------------------------- |
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276 | !! Default option Dummy Module No LIM-3 sea-ice model |
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277 | !!---------------------------------------------------------------------- |
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278 | #endif |
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279 | !!====================================================================== |
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280 | END MODULE limthd_sal |
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