1 | MODULE limthd_sal |
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2 | #if defined key_lim3 |
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3 | !!====================================================================== |
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4 | !! *** MODULE limthd_sal *** |
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5 | !! computation salinity variations in |
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6 | !! the ice |
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7 | !!====================================================================== |
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8 | |
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9 | !!---------------------------------------------------------------------- |
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10 | !! lim_thd_sal : salinity variations in the ice |
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11 | !! * Modules used |
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12 | USE par_oce ! ocean parameters |
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13 | USE phycst ! physical constants (ocean directory) |
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14 | USE ice_oce ! ice variables |
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15 | USE thd_ice |
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16 | USE iceini |
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17 | USE ice |
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18 | USE limistate |
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19 | USE in_out_manager |
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20 | USE limvar |
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21 | USE par_ice |
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22 | USE limicepoints |
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23 | |
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24 | IMPLICIT NONE |
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25 | PRIVATE |
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26 | |
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27 | !! * Routine accessibility |
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28 | PUBLIC lim_thd_sal ! called by lim_thd |
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29 | |
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30 | !! * Module variables |
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31 | REAL(wp) :: & ! constant values |
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32 | epsi20 = 1e-20 , & |
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33 | epsi13 = 1e-13 , & |
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34 | zzero = 0.e0 , & |
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35 | zone = 1.e0 |
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36 | |
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37 | CONTAINS |
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38 | |
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39 | SUBROUTINE lim_thd_sal(kideb,kiut,jl) |
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40 | !!------------------------------------------------------------------- |
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41 | !! *** ROUTINE lim_thd_sal *** |
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42 | !! ** Purpose : |
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43 | !! This routine computes new salinities in the ice |
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44 | !! |
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45 | !! ** Method : 4 possibilities |
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46 | !! -> num_sal = 1 -> constant salinity for z,t |
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47 | !! -> num_sal = 2 -> S = S(z,t) [simple Vancoppenolle et al 2005] |
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48 | !! -> num_sal = 3 -> S = S(z) [multiyear ice] |
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49 | !! -> num_sal = 4 -> S = S(h) [Cox and Weeks 74] |
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50 | !! |
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51 | !! ** Steps |
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52 | !! |
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53 | !! ** Arguments |
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54 | !! |
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55 | !! ** Inputs / Outputs |
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56 | !! |
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57 | !! ** External |
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58 | !! |
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59 | !! ** References |
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60 | !! |
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61 | !! ** History : |
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62 | !!------------------------------------------------------------------- |
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63 | !! History : |
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64 | !! ori ! 03-05 M. Vancoppenolle UCL-ASTR first coding for LIM-1D |
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65 | !! 3.0 ! 05-12 Routine rewritten for the 3-D version |
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66 | !!--------------------------------------------------------------------- |
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67 | !! * Local variables |
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68 | INTEGER, INTENT(in) :: & |
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69 | kideb, kiut, jl !: thickness category index |
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70 | |
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71 | INTEGER :: & |
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72 | ji, jk , & !: geographic and layer index |
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73 | zji, zjj |
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74 | |
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75 | REAL(wp) :: & |
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76 | ! ds_i_gd, & !: salt loss by gravity drainage |
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77 | ! ds_i_seg, & !: salt gain by segregation of seawater at the bottom |
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78 | ! ds_i_flush, & !: summer salt loss by flushing |
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79 | zargtemp, & !: used to compute Scharzacher profile |
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80 | zsold, & !: old salinity |
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81 | ! ds_i_snice, & !: increase of salinity due to snow ice |
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82 | zeps=1.0e-06 , & !: very small |
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83 | iflush , & !: flushing (1) or not (0) |
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84 | iaccrbo , & !: bottom accretion (1) or not (0) |
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85 | igravdr , & !: gravity drainage or not |
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86 | isnowic , & !: gravity drainage or not |
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87 | i_ice_switch , & !: ice thickness above a certain treshold or not |
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88 | ztmelts , & !: freezing point of sea ice |
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89 | zs_snowice , & !: salinity of forming snow ice |
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90 | zaaa , & !: dummy factor |
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91 | zbbb , & !: dummy factor |
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92 | zccc , & !: dummy factor |
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93 | zdiscrim !: dummy factor |
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94 | |
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95 | REAL(wp), DIMENSION(jpij) :: & |
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96 | ze_init , & !initial total enthalpy |
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97 | ze_end , & !final total enthalpy |
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98 | zhiold , & |
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99 | zsiold |
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100 | |
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101 | !!--------------------------------------------------------------------- |
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102 | |
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103 | IF ( ( numit == nstart ) .AND. ( jl == 1 ) ) & |
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104 | CALL lim_thd_sal_init ! Initialization |
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105 | |
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106 | !------------------------------------------------------------------------------| |
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107 | ! 1) Constant salinity, constant in time | |
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108 | !------------------------------------------------------------------------------| |
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109 | |
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110 | IF (num_sal.eq.1) THEN |
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111 | |
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112 | WRITE(numout,*) |
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113 | WRITE(numout,*) 'lim_thd_sal : Ice salinity computation module ', & |
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114 | num_sal |
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115 | WRITE(numout,*) '~~~~~~~~~~~~' |
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116 | |
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117 | DO jk = 1, nlay_i |
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118 | DO ji = kideb, kiut |
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119 | s_i_b(ji,jk) = bulk_sal |
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120 | END DO ! ji |
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121 | END DO ! jk |
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122 | |
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123 | DO ji = kideb, kiut |
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124 | sm_i_b(ji) = bulk_sal |
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125 | END DO ! ji |
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126 | |
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127 | ENDIF ! num_sal .EQ. 1 |
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128 | |
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129 | !------------------------------------------------------------------------------| |
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130 | ! Module 2 : Constant salinity varying in time | |
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131 | !------------------------------------------------------------------------------| |
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132 | |
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133 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) THEN |
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134 | |
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135 | WRITE(numout,*) |
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136 | WRITE(numout,*) 'lim_thd_sal : Ice salinity computation module ', & |
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137 | num_sal |
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138 | WRITE(numout,*) '~~~~~~~~~~~' |
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139 | WRITE(numout,*) |
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140 | |
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141 | !--------------------------------- |
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142 | ! Thickness at previous time step |
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143 | !--------------------------------- |
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144 | DO ji = kideb, kiut |
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145 | zhiold(ji) = ht_i_b(ji) - dh_i_bott(ji) - dh_snowice(ji) - & |
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146 | dh_i_surf(ji) |
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147 | END DO ! ji |
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148 | |
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149 | !--------------------- |
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150 | ! Global heat content |
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151 | !--------------------- |
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152 | |
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153 | ze_init(:) = 0.0 |
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154 | DO jk = 1, nlay_i |
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155 | DO ji = kideb, kiut |
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156 | ze_init(ji) = ze_init(ji) + q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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157 | END DO ! ji |
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158 | END DO ! jk |
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159 | |
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160 | ! IF (jiindex_1d .GT. 0 ) THEN |
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161 | ! WRITE(numout,*) ' s_i_b : ', s_i_b(jiindex_1d,1:nlay_i) |
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162 | ! WRITE(numout,*) ' t_i_b : ', t_i_b(jiindex_1d,1:nlay_i) |
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163 | ! WRITE(numout,*) ' q_i_b : ', q_i_b(jiindex_1d,1:nlay_i) |
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164 | ! ENDIF |
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165 | |
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166 | DO ji = kideb, kiut |
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167 | |
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168 | !---------- |
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169 | ! Switches |
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170 | !---------- |
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171 | |
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172 | ! iflush : 1 if summer |
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173 | iflush = MAX( 0.0 , SIGN ( 1.0 , t_su_b(ji) - rtt ) ) |
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174 | ! igravdr : 1 if t_su lt t_bo |
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175 | igravdr = MAX( 0.0 , SIGN ( 1.0 , t_bo_b(ji) - t_su_b(ji) ) ) |
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176 | ! iaccrbo : 1 if bottom accretion |
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177 | iaccrbo = MAX( 0.0 , SIGN ( 1.0 , dh_i_bott(ji) ) ) |
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178 | ! isnowic : 1 if snow ice formation |
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179 | i_ice_switch = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - ht_i_b(ji) + 1.0d-2 ) ) |
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180 | isnowic = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - dh_snowice(ji) ) ) * & |
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181 | i_ice_switch |
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182 | |
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183 | !--------------------- |
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184 | ! Salinity tendencies |
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185 | !--------------------- |
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186 | |
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187 | ! drainage by gravity drainage |
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188 | dsm_i_gd_1d(ji) = - igravdr * & |
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189 | MAX( sm_i_b(ji) - sal_G , 0.0 ) / & |
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190 | time_G * rdt_ice |
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191 | |
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192 | ! drainage by flushing |
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193 | dsm_i_fl_1d(ji) = - iflush * & |
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194 | MAX( sm_i_b(ji) - sal_F , 0.0 ) / & |
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195 | time_F * rdt_ice |
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196 | |
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197 | !----------------- |
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198 | ! Update salinity |
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199 | !----------------- |
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200 | |
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201 | ! only drainage terms ( gravity drainage and flushing ) |
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202 | ! snow ice / bottom sources are added in lim_thd_ent |
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203 | ! to conserve energy |
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204 | zsiold(ji) = sm_i_b(ji) |
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205 | sm_i_b(ji) = sm_i_b(ji) & |
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206 | + dsm_i_fl_1d(ji) + dsm_i_gd_1d(ji) ! & |
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207 | |
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208 | ! if no ice, salinity eq 0.1 |
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209 | i_ice_switch = 1.0 - MAX ( 0.0, SIGN (1.0 , - ht_i_b(ji) ) ) |
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210 | sm_i_b(ji) = i_ice_switch*sm_i_b(ji) + s_i_min * ( 1.0 - & |
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211 | i_ice_switch ) |
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212 | END DO ! ji |
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213 | |
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214 | ! Salinity profile |
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215 | CALL lim_var_salprof1d(kideb,kiut) |
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216 | |
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217 | !-------------------------------------- |
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218 | ! Energy of melting for each ice layer |
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219 | !-------------------------------------- |
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220 | ! q=q(S,T) J.m-3 |
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221 | ! DO jk = 1, nlay_i |
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222 | ! DO ji = kideb, kiut |
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223 | ! ! New heat content after desalination |
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224 | ! ztmelts = - tmut * s_i_b(ji,jk) + rtt ! Tfi in K |
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225 | ! q_i_b(ji,jk) = rhoic * & |
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226 | ! ( cpic * ( ztmelts-t_i_b(ji,jk) ) & |
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227 | ! + lfus * ( 1.0 - (ztmelts-rtt) / & |
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228 | ! MIN( ( t_i_b(ji,jk) - rtt ) , -zeps ) ) & |
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229 | ! - rcp * ( ztmelts-rtt ) ) |
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230 | ! END DO ! ji |
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231 | ! END DO |
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232 | |
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233 | !-------------------- |
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234 | ! Total heat content |
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235 | !-------------------- |
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236 | ! ze_end(:) = 0.0 |
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237 | ! DO jk = 1, nlay_i |
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238 | ! DO ji = kideb, kiut |
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239 | ! ze_end(ji) = ze_end(ji) + q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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240 | ! END DO |
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241 | ! END DO |
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242 | |
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243 | ! IF (jiindex_1d .GT. 0 ) THEN |
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244 | ! WRITE(numout,*) ' ze_init : ', ze_init(jiindex_1d) / rdt_ice |
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245 | ! WRITE(numout,*) ' ze_end : ', ze_end (jiindex_1d) / rdt_ice |
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246 | ! WRITE(numout,*) ' s_i_b : ', s_i_b(jiindex_1d,1:nlay_i) |
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247 | ! WRITE(numout,*) ' t_i_b : ', t_i_b(jiindex_1d,1:nlay_i) |
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248 | ! WRITE(numout,*) ' q_i_b : ', q_i_b(jiindex_1d,1:nlay_i) |
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249 | ! ENDIF |
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250 | |
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251 | !---------------------------- |
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252 | ! Heat flux - brine drainage |
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253 | !---------------------------- |
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254 | |
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255 | ! WRITE(numout,*) ' jiindex, jjindex : ', jiindex, jjindex |
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256 | ! WRITE(numout,*) ' jiindex_1d : ', jiindex_1d |
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257 | ! WRITE(numout,*) ' kideb, kiut: ', kideb, kiut |
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258 | |
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259 | DO ji = kideb, kiut |
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260 | ! iflush : 1 if summer |
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261 | iflush = MAX( 0.0 , SIGN ( 1.0 , t_su_b(ji) - rtt ) ) |
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262 | ! igravdr : 1 if t_su lt t_bo |
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263 | igravdr = MAX( 0.0 , SIGN ( 1.0 , t_bo_b(ji) - t_su_b(ji) ) ) |
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264 | ! iaccrbo : 1 if bottom accretion |
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265 | iaccrbo = MAX( 0.0 , SIGN ( 1.0 , dh_i_bott(ji) ) ) |
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266 | |
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267 | ! IF ( ( iflush .EQ. 1 ) .OR. ( iaccrbo .EQ. 1 ) ) THEN |
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268 | ! fhbri_1d(ji) = fhbri_1d(ji) + ( ze_end(ji) - ze_init(ji) ) * & |
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269 | ! a_i_b(ji) / at_i_b(ji) / rdt_ice |
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270 | ! ze_end GT ze_init... ? |
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271 | ! ENDIF |
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272 | fhbri_1d(ji) = 0.0 |
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273 | |
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274 | !++++++ |
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275 | ! zji = MOD( npb(ji) - 1, jpi ) + 1 |
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276 | ! zjj = ( npb(ji) - 1 ) / jpi + 1 |
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277 | ! fhbricat(zji,zjj,jl) = ( ze_end(ji) - ze_init(ji) ) / & |
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278 | ! rdt_ice |
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279 | !++++++ |
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280 | ! ftotal_fin(ji) = ftotal_fin(ji) + fhbricat(zji,zjj,jl) |
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281 | ! IF ( ji .EQ. jiindex_1d) WRITE(numout,*) ' fhbri : ', & |
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282 | ! fhbricat(zji,zjj,jl) * rdt_ice |
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283 | ! IF ( ji .EQ. jiindex_1d ) & |
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284 | ! WRITE(numout,*) ' ftotal_fin : ', ftotal_fin(jiindex_1d) |
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285 | ! !+++++ |
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286 | |
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287 | END DO ! ji |
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288 | |
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289 | ! IF (jiindex_1d .GT. 0 ) THEN |
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290 | ! WRITE(numout,*) ' Category : ', jl |
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291 | ! WRITE(numout,*) ' jiindex_1d : ', jiindex_1d |
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292 | ! WRITE(numout,*) ' fhbricat : ', fhbricat(jiindex,jjindex,jl) |
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293 | ! WRITE(numout,*) ' fhbri_1d : ', fhbri_1d(jiindex_1d) |
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294 | ! WRITE(numout,*) ' ze_end : ', ze_end(jiindex_1d) |
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295 | ! WRITE(numout,*) ' ze_init : ', ze_init(jiindex_1d) |
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296 | ! WRITE(numout,*) ' a_i_b : ', a_i_b(jiindex_1d) |
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297 | ! WRITE(numout,*) ' at_i_b : ', at_i_b(jiindex_1d) |
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298 | ! WRITE(numout,*) ' rdt_ice : ', rdt_ice |
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299 | ! ENDIF |
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300 | |
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301 | !---------------------------- |
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302 | ! Salt flux - brine drainage |
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303 | !---------------------------- |
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304 | DO ji = kideb, kiut |
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305 | i_ice_switch = 1.0 - MAX ( 0.0, SIGN (1.0 , - ht_i_b(ji) ) ) |
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306 | fsbri_1d(ji) = fsbri_1d(ji) - & |
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307 | i_ice_switch * rhoic * a_i_b(ji) * ht_i_b(ji) * & |
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308 | ( MAX(dsm_i_gd_1d(ji) + dsm_i_fl_1d(ji), & |
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309 | sm_i_b(ji) - zsiold(ji) ) ) / rdt_ice |
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310 | IF ( num_sal .EQ. 4 ) fsbri_1d(ji) = 0.0 |
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311 | |
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312 | END DO ! ji |
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313 | |
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314 | ! Only necessary for conservation check since salinity is modified |
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315 | !-------------------- |
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316 | ! Temperature update |
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317 | !-------------------- |
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318 | DO jk = 1, nlay_i |
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319 | |
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320 | DO ji = kideb, kiut |
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321 | |
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322 | ztmelts = -tmut*s_i_b(ji,jk) + rtt |
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323 | !Conversion q(S,T) -> T (second order equation) |
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324 | zaaa = cpic |
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325 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + & |
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326 | q_i_b(ji,jk) / rhoic - lfus |
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327 | zccc = lfus * ( ztmelts - rtt ) |
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328 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4.0*zaaa*zccc,0.0) ) |
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329 | t_i_b(ji,jk) = rtt - ( zbbb + zdiscrim ) / & |
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330 | ( 2.0 *zaaa ) |
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331 | END DO !ji |
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332 | |
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333 | END DO !jk |
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334 | |
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335 | ENDIF ! num_sal .EQ. 2 |
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336 | |
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337 | !------------------------------------------------------------------------------| |
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338 | ! Module 3 : Profile of salinity, constant in time | |
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339 | !------------------------------------------------------------------------------| |
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340 | |
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341 | IF ( num_sal .EQ. 3 ) THEN |
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342 | |
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343 | WRITE(numout,*) |
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344 | WRITE(numout,*) 'lim_thd_sal : Ice salinity computation module ', & |
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345 | num_sal |
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346 | WRITE(numout,*) '~~~~~~~~~~~~' |
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347 | |
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348 | CALL lim_var_salprof1d(kideb,kiut) |
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349 | |
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350 | ENDIF ! num_sal .EQ. 3 |
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351 | |
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352 | !------------------------------------------------------------------------------| |
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353 | ! Module 4 : Constant salinity varying in time | |
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354 | !------------------------------------------------------------------------------| |
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355 | |
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356 | ! Cox and Weeks, 1974 |
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357 | IF (num_sal.eq.5) THEN |
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358 | |
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359 | WRITE(numout,*) |
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360 | WRITE(numout,*) 'lim_thd_sal : Ice salinity computation module ', & |
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361 | num_sal |
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362 | WRITE(numout,*) '~~~~~~~~~~~~' |
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363 | |
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364 | DO ji = kideb, kiut |
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365 | |
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366 | zsold = sm_i_b(ji) |
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367 | |
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368 | IF (ht_i_b(ji).lt.0.4) THEN |
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369 | sm_i_b(ji) = 14.24 - 19.39*ht_i_b(ji) |
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370 | ELSE |
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371 | sm_i_b(ji) = 7.88 - 1.59*ht_i_b(ji) |
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372 | sm_i_b(ji) = MIN(sm_i_b(ji),zsold) |
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373 | ENDIF |
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374 | |
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375 | IF ( ht_i_b(ji) .GT. 3.06918239 ) THEN |
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376 | sm_i_b(ji) = 3.0 |
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377 | ENDIF |
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378 | |
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379 | !!--multiyear sea-ice salinity |
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380 | !!-- ca va pas alors on vire bordel de djeuille |
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381 | ! if (ht.gt.360) then |
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382 | ! do jk = 1, nlay_i |
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383 | ! s_i_b(ji,jk) = 1.58 + 0.18*ht_i_b(ji) |
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384 | ! end do |
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385 | ! endif |
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386 | DO jk = 1, nlay_i |
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387 | s_i_b(ji,jk) = sm_i_b(ji) |
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388 | END DO |
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389 | |
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390 | END DO ! ji |
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391 | |
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392 | ENDIF ! num_sal |
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393 | |
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394 | !------------------------------------------------------------------------------| |
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395 | ! 5) Computation of salt flux due to Bottom growth |
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396 | !------------------------------------------------------------------------------| |
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397 | |
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398 | IF ( num_sal .EQ. 4 ) THEN |
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399 | DO ji = kideb, kiut |
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400 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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401 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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402 | fseqv_1d(ji) = fseqv_1d(ji) + & |
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403 | ( sss_io(zji,zjj) - bulk_sal ) * & |
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404 | rhoic * a_i_b(ji) * & |
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405 | MAX( dh_i_bott(ji) , 0.0 ) / rdt_ice |
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406 | END DO |
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407 | ELSE |
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408 | DO ji = kideb, kiut |
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409 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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410 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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411 | fseqv_1d(ji) = fseqv_1d(ji) + & |
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412 | ( sss_io(zji,zjj) - s_i_new(ji) ) * & |
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413 | rhoic * a_i_b(ji) * & |
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414 | MAX( dh_i_bott(ji) , 0.0 ) / rdt_ice |
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415 | END DO ! ji |
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416 | ENDIF |
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417 | |
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418 | !+++++ |
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419 | ! IF ( (zji.EQ.jiindex) .AND. (zjj.EQ.jjindex) ) THEN |
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420 | ! WRITE(numout,*) ' *** FS_EQV *** ' |
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421 | ! WRITE(numout,*) ' limthd_sal ' |
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422 | ! WRITE(numout,*) ' fseqv ', fseqv_1d(ji) |
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423 | ! WRITE(numout,*) ' sss_io ', sss_io(zji,zjj) |
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424 | ! WRITE(numout,*) ' s_i_new ', s_i_new(ji) |
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425 | ! WRITE(numout,*) ' dh_i_bott ', dh_i_bott(ji) |
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426 | ! WRITE(numout,*) ' a_i_b ', a_i_b(ji) |
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427 | ! WRITE(numout,*) ' *** FS_BRI *** ' |
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428 | ! WRITE(numout,*) ' fsbri ', fsbri_1d(ji) |
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429 | ! WRITE(numout,*) ' ht_i ', ht_i_b(ji) |
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430 | ! WRITE(numout,*) ' dsm_i_gd ', dsm_i_gd_1d(ji) |
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431 | ! WRITE(numout,*) ' dsm_i_fl ', dsm_i_fl_1d(ji) |
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432 | ! ENDIF |
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433 | |
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434 | !+++++ |
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435 | |
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436 | !-- End of salinity computations |
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437 | END SUBROUTINE lim_thd_sal |
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438 | !============================================================================== |
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439 | |
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440 | SUBROUTINE lim_thd_sal_init |
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441 | !!------------------------------------------------------------------- |
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442 | !! *** ROUTINE lim_thd_sal_init *** |
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443 | !! |
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444 | !! ** Purpose : initialization of ice salinity parameters |
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445 | !! |
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446 | !! ** Method : Read the namicesal namelist and check the parameter |
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447 | !! values called at the first timestep (nit000) |
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448 | !! |
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449 | !! ** input : Namelist namicesal |
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450 | !! |
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451 | !! history : |
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452 | !! 3.0 ! July 2005 M. Vancoppenolle Original code |
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453 | !!------------------------------------------------------------------- |
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454 | NAMELIST/namicesal/ num_sal, bulk_sal, sal_G, time_G, sal_F, time_F, & |
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455 | s_i_max, s_i_min, s_i_0, s_i_1 |
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456 | !!------------------------------------------------------------------- |
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457 | |
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458 | ! Read Namelist namicesal |
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459 | REWIND ( numnam_ice ) |
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460 | READ ( numnam_ice , namicesal ) |
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461 | IF(lwp) THEN |
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462 | WRITE(numout,*) |
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463 | WRITE(numout,*) 'lim_thd_sal_init : Ice parameters for salinity ' |
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464 | WRITE(numout,*) '~~~~~~~~~~~~~~~~' |
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465 | WRITE(numout,*) ' switch for salinity num_sal : ', num_sal |
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466 | WRITE(numout,*) ' bulk salinity value if num_sal = 1 : ', bulk_sal |
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467 | WRITE(numout,*) ' restoring salinity for GD : ', sal_G |
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468 | WRITE(numout,*) ' restoring time for GD : ', time_G |
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469 | WRITE(numout,*) ' restoring salinity for flushing : ', sal_F |
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470 | WRITE(numout,*) ' restoring time for flushing : ', time_F |
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471 | WRITE(numout,*) ' Maximum tolerated ice salinity : ', s_i_max |
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472 | WRITE(numout,*) ' Minimum tolerated ice salinity : ', s_i_min |
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473 | WRITE(numout,*) ' 1st salinity for salinity profile : ', s_i_0 |
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474 | WRITE(numout,*) ' 2nd salinity for salinity profile : ', s_i_1 |
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475 | ENDIF |
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476 | |
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477 | END SUBROUTINE lim_thd_sal_init |
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478 | |
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479 | #else |
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480 | !!---------------------------------------------------------------------- |
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481 | !! Default option Empty Module No sea-ice model |
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482 | !!---------------------------------------------------------------------- |
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483 | CONTAINS |
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484 | SUBROUTINE lim_thd_sal ! Empty routine |
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485 | END SUBROUTINE lim_thd_sal |
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486 | #endif |
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487 | !!====================================================================== |
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488 | END MODULE limthd_sal |
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