[825] | 1 | MODULE limthd_sal |
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[834] | 2 | !!---------------------------------------------------------------------- |
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| 3 | !! 'key_lim3' LIM3 sea-ice model |
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| 4 | !!---------------------------------------------------------------------- |
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[825] | 5 | !!====================================================================== |
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| 6 | !! *** MODULE limthd_sal *** |
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| 7 | !! computation salinity variations in |
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| 8 | !! the ice |
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| 9 | !!====================================================================== |
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[888] | 10 | #if defined key_lim3 |
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[825] | 11 | !!---------------------------------------------------------------------- |
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| 12 | !! lim_thd_sal : salinity variations in the ice |
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| 13 | !! * Modules used |
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| 14 | USE par_oce ! ocean parameters |
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| 15 | USE phycst ! physical constants (ocean directory) |
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[888] | 16 | USE sbc_oce ! Surface boundary condition: ocean fields |
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[825] | 17 | USE thd_ice |
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| 18 | USE iceini |
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| 19 | USE ice |
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| 20 | USE limistate |
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| 21 | USE in_out_manager |
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| 22 | USE limvar |
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| 23 | USE par_ice |
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| 24 | |
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| 25 | IMPLICIT NONE |
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| 26 | PRIVATE |
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| 27 | |
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| 28 | !! * Routine accessibility |
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| 29 | PUBLIC lim_thd_sal ! called by lim_thd |
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[869] | 30 | PUBLIC lim_thd_sal_init ! called by lim_thd |
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[825] | 31 | |
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| 32 | !! * Module variables |
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| 33 | REAL(wp) :: & ! constant values |
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| 34 | epsi20 = 1e-20 , & |
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| 35 | epsi13 = 1e-13 , & |
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| 36 | zzero = 0.e0 , & |
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| 37 | zone = 1.e0 |
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| 38 | |
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[1156] | 39 | !!---------------------------------------------------------------------- |
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| 40 | !! LIM 3.0, UCL-ASTR-LOCEAN-IPSL (2008) |
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| 41 | !! $Id$ |
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| 42 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 43 | !!---------------------------------------------------------------------- |
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| 44 | |
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[921] | 45 | CONTAINS |
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[825] | 46 | |
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[888] | 47 | SUBROUTINE lim_thd_sal(kideb,kiut) |
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[825] | 48 | !!------------------------------------------------------------------- |
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| 49 | !! *** ROUTINE lim_thd_sal *** |
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| 50 | !! ** Purpose : |
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| 51 | !! This routine computes new salinities in the ice |
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| 52 | !! |
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| 53 | !! ** Method : 4 possibilities |
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| 54 | !! -> num_sal = 1 -> constant salinity for z,t |
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| 55 | !! -> num_sal = 2 -> S = S(z,t) [simple Vancoppenolle et al 2005] |
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| 56 | !! -> num_sal = 3 -> S = S(z) [multiyear ice] |
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| 57 | !! -> num_sal = 4 -> S = S(h) [Cox and Weeks 74] |
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| 58 | !! |
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| 59 | !! ** Steps |
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| 60 | !! |
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| 61 | !! ** Arguments |
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| 62 | !! |
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| 63 | !! ** Inputs / Outputs |
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| 64 | !! |
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| 65 | !! ** External |
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| 66 | !! |
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| 67 | !! ** References |
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| 68 | !! |
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| 69 | !! ** History : |
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[834] | 70 | !! |
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| 71 | !! "Je ne suis pour l'instant qu'a 80% de ma condition, mais c'est |
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| 72 | !! les 30% qui restent qui seront les plus difficiles" |
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| 73 | !! E. Mpenza |
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| 74 | !! |
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[825] | 75 | !!------------------------------------------------------------------- |
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| 76 | !! History : |
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| 77 | !! ori ! 03-05 M. Vancoppenolle UCL-ASTR first coding for LIM-1D |
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| 78 | !! 3.0 ! 05-12 Routine rewritten for the 3-D version |
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| 79 | !!--------------------------------------------------------------------- |
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[834] | 80 | !! |
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[825] | 81 | !! * Local variables |
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| 82 | INTEGER, INTENT(in) :: & |
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[888] | 83 | kideb, kiut !: thickness category index |
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[825] | 84 | |
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| 85 | INTEGER :: & |
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| 86 | ji, jk , & !: geographic and layer index |
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| 87 | zji, zjj |
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| 88 | |
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| 89 | REAL(wp) :: & |
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| 90 | zsold, & !: old salinity |
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| 91 | zeps=1.0e-06 , & !: very small |
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| 92 | iflush , & !: flushing (1) or not (0) |
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| 93 | iaccrbo , & !: bottom accretion (1) or not (0) |
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| 94 | igravdr , & !: gravity drainage or not |
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| 95 | isnowic , & !: gravity drainage or not |
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| 96 | i_ice_switch , & !: ice thickness above a certain treshold or not |
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| 97 | ztmelts , & !: freezing point of sea ice |
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| 98 | zaaa , & !: dummy factor |
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| 99 | zbbb , & !: dummy factor |
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| 100 | zccc , & !: dummy factor |
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| 101 | zdiscrim !: dummy factor |
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[921] | 102 | |
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[825] | 103 | REAL(wp), DIMENSION(jpij) :: & |
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| 104 | ze_init , & !initial total enthalpy |
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| 105 | zhiold , & |
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| 106 | zsiold |
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| 107 | |
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| 108 | !!--------------------------------------------------------------------- |
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| 109 | |
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[921] | 110 | !------------------------------------------------------------------------------| |
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| 111 | ! 1) Constant salinity, constant in time | |
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| 112 | !------------------------------------------------------------------------------| |
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[825] | 113 | |
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| 114 | IF (num_sal.eq.1) THEN |
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| 115 | |
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[921] | 116 | ! WRITE(numout,*) |
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| 117 | ! WRITE(numout,*) 'lim_thd_sal : Ice salinity computation module ', & |
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| 118 | ! num_sal |
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| 119 | ! WRITE(numout,*) '~~~~~~~~~~~~' |
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[825] | 120 | |
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| 121 | DO jk = 1, nlay_i |
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| 122 | DO ji = kideb, kiut |
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| 123 | s_i_b(ji,jk) = bulk_sal |
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| 124 | END DO ! ji |
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| 125 | END DO ! jk |
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| 126 | |
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| 127 | DO ji = kideb, kiut |
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| 128 | sm_i_b(ji) = bulk_sal |
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| 129 | END DO ! ji |
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| 130 | |
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| 131 | ENDIF ! num_sal .EQ. 1 |
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| 132 | |
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[921] | 133 | !------------------------------------------------------------------------------| |
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| 134 | ! Module 2 : Constant salinity varying in time | |
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| 135 | !------------------------------------------------------------------------------| |
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[825] | 136 | |
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| 137 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) THEN |
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| 138 | |
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[921] | 139 | ! WRITE(numout,*) |
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| 140 | ! WRITE(numout,*) 'lim_thd_sal : Ice salinity computation module ', & |
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| 141 | ! num_sal |
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| 142 | ! WRITE(numout,*) '~~~~~~~~~~~' |
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| 143 | ! WRITE(numout,*) |
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[825] | 144 | |
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| 145 | !--------------------------------- |
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| 146 | ! Thickness at previous time step |
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| 147 | !--------------------------------- |
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| 148 | DO ji = kideb, kiut |
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| 149 | zhiold(ji) = ht_i_b(ji) - dh_i_bott(ji) - dh_snowice(ji) - & |
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[921] | 150 | dh_i_surf(ji) |
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[825] | 151 | END DO ! ji |
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| 152 | |
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| 153 | !--------------------- |
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| 154 | ! Global heat content |
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| 155 | !--------------------- |
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| 156 | |
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| 157 | ze_init(:) = 0.0 |
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| 158 | DO jk = 1, nlay_i |
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| 159 | DO ji = kideb, kiut |
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| 160 | ze_init(ji) = ze_init(ji) + q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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| 161 | END DO ! ji |
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| 162 | END DO ! jk |
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| 163 | |
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| 164 | DO ji = kideb, kiut |
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| 165 | |
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| 166 | !---------- |
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| 167 | ! Switches |
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| 168 | !---------- |
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| 169 | |
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| 170 | ! iflush : 1 if summer |
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| 171 | iflush = MAX( 0.0 , SIGN ( 1.0 , t_su_b(ji) - rtt ) ) |
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| 172 | ! igravdr : 1 if t_su lt t_bo |
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| 173 | igravdr = MAX( 0.0 , SIGN ( 1.0 , t_bo_b(ji) - t_su_b(ji) ) ) |
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| 174 | ! iaccrbo : 1 if bottom accretion |
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| 175 | iaccrbo = MAX( 0.0 , SIGN ( 1.0 , dh_i_bott(ji) ) ) |
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| 176 | ! isnowic : 1 if snow ice formation |
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[842] | 177 | i_ice_switch = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - ht_i_b(ji) + 1.0e-2 ) ) |
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[825] | 178 | isnowic = 1.0 - MAX ( 0.0 , SIGN ( 1.0 , - dh_snowice(ji) ) ) * & |
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[921] | 179 | i_ice_switch |
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[825] | 180 | |
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| 181 | !--------------------- |
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| 182 | ! Salinity tendencies |
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| 183 | !--------------------- |
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| 184 | |
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| 185 | ! drainage by gravity drainage |
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| 186 | dsm_i_gd_1d(ji) = - igravdr * & |
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[921] | 187 | MAX( sm_i_b(ji) - sal_G , 0.0 ) / & |
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| 188 | time_G * rdt_ice |
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[825] | 189 | |
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| 190 | ! drainage by flushing |
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| 191 | dsm_i_fl_1d(ji) = - iflush * & |
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[921] | 192 | MAX( sm_i_b(ji) - sal_F , 0.0 ) / & |
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| 193 | time_F * rdt_ice |
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[825] | 194 | |
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| 195 | !----------------- |
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| 196 | ! Update salinity |
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| 197 | !----------------- |
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| 198 | |
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| 199 | ! only drainage terms ( gravity drainage and flushing ) |
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| 200 | ! snow ice / bottom sources are added in lim_thd_ent |
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| 201 | ! to conserve energy |
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| 202 | zsiold(ji) = sm_i_b(ji) |
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| 203 | sm_i_b(ji) = sm_i_b(ji) & |
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[921] | 204 | + dsm_i_fl_1d(ji) + dsm_i_gd_1d(ji) ! & |
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[825] | 205 | |
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| 206 | ! if no ice, salinity eq 0.1 |
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| 207 | i_ice_switch = 1.0 - MAX ( 0.0, SIGN (1.0 , - ht_i_b(ji) ) ) |
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| 208 | sm_i_b(ji) = i_ice_switch*sm_i_b(ji) + s_i_min * ( 1.0 - & |
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[921] | 209 | i_ice_switch ) |
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[825] | 210 | END DO ! ji |
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| 211 | |
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| 212 | ! Salinity profile |
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| 213 | CALL lim_var_salprof1d(kideb,kiut) |
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| 214 | |
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| 215 | !---------------------------- |
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| 216 | ! Heat flux - brine drainage |
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| 217 | !---------------------------- |
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| 218 | |
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| 219 | DO ji = kideb, kiut |
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| 220 | ! iflush : 1 if summer |
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| 221 | iflush = MAX( 0.0 , SIGN ( 1.0 , t_su_b(ji) - rtt ) ) |
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| 222 | ! igravdr : 1 if t_su lt t_bo |
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| 223 | igravdr = MAX( 0.0 , SIGN ( 1.0 , t_bo_b(ji) - t_su_b(ji) ) ) |
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| 224 | ! iaccrbo : 1 if bottom accretion |
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| 225 | iaccrbo = MAX( 0.0 , SIGN ( 1.0 , dh_i_bott(ji) ) ) |
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| 226 | |
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| 227 | fhbri_1d(ji) = 0.0 |
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| 228 | END DO ! ji |
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| 229 | |
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| 230 | !---------------------------- |
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| 231 | ! Salt flux - brine drainage |
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| 232 | !---------------------------- |
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| 233 | DO ji = kideb, kiut |
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| 234 | i_ice_switch = 1.0 - MAX ( 0.0, SIGN (1.0 , - ht_i_b(ji) ) ) |
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| 235 | fsbri_1d(ji) = fsbri_1d(ji) - & |
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[921] | 236 | i_ice_switch * rhoic * a_i_b(ji) * ht_i_b(ji) * & |
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| 237 | ( MAX(dsm_i_gd_1d(ji) + dsm_i_fl_1d(ji), & |
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| 238 | sm_i_b(ji) - zsiold(ji) ) ) / rdt_ice |
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[825] | 239 | IF ( num_sal .EQ. 4 ) fsbri_1d(ji) = 0.0 |
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| 240 | |
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| 241 | END DO ! ji |
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| 242 | |
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| 243 | ! Only necessary for conservation check since salinity is modified |
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| 244 | !-------------------- |
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| 245 | ! Temperature update |
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| 246 | !-------------------- |
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| 247 | DO jk = 1, nlay_i |
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| 248 | |
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| 249 | DO ji = kideb, kiut |
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| 250 | |
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| 251 | ztmelts = -tmut*s_i_b(ji,jk) + rtt |
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| 252 | !Conversion q(S,T) -> T (second order equation) |
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| 253 | zaaa = cpic |
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| 254 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + & |
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[921] | 255 | q_i_b(ji,jk) / rhoic - lfus |
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[825] | 256 | zccc = lfus * ( ztmelts - rtt ) |
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| 257 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4.0*zaaa*zccc,0.0) ) |
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| 258 | t_i_b(ji,jk) = rtt - ( zbbb + zdiscrim ) / & |
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[921] | 259 | ( 2.0 *zaaa ) |
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[825] | 260 | END DO !ji |
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| 261 | |
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| 262 | END DO !jk |
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| 263 | |
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| 264 | ENDIF ! num_sal .EQ. 2 |
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| 265 | |
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[921] | 266 | !------------------------------------------------------------------------------| |
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| 267 | ! Module 3 : Profile of salinity, constant in time | |
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| 268 | !------------------------------------------------------------------------------| |
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[825] | 269 | |
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| 270 | IF ( num_sal .EQ. 3 ) THEN |
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| 271 | |
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| 272 | WRITE(numout,*) |
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| 273 | WRITE(numout,*) 'lim_thd_sal : Ice salinity computation module ', & |
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[921] | 274 | num_sal |
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[825] | 275 | WRITE(numout,*) '~~~~~~~~~~~~' |
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| 276 | |
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| 277 | CALL lim_var_salprof1d(kideb,kiut) |
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| 278 | |
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| 279 | ENDIF ! num_sal .EQ. 3 |
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| 280 | |
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[921] | 281 | !------------------------------------------------------------------------------| |
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| 282 | ! Module 4 : Constant salinity varying in time | |
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| 283 | !------------------------------------------------------------------------------| |
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[825] | 284 | |
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| 285 | ! Cox and Weeks, 1974 |
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| 286 | IF (num_sal.eq.5) THEN |
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| 287 | |
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| 288 | WRITE(numout,*) |
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| 289 | WRITE(numout,*) 'lim_thd_sal : Ice salinity computation module ', & |
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[921] | 290 | num_sal |
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[825] | 291 | WRITE(numout,*) '~~~~~~~~~~~~' |
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| 292 | |
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| 293 | DO ji = kideb, kiut |
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| 294 | |
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| 295 | zsold = sm_i_b(ji) |
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| 296 | |
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| 297 | IF (ht_i_b(ji).lt.0.4) THEN |
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| 298 | sm_i_b(ji) = 14.24 - 19.39*ht_i_b(ji) |
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| 299 | ELSE |
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| 300 | sm_i_b(ji) = 7.88 - 1.59*ht_i_b(ji) |
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| 301 | sm_i_b(ji) = MIN(sm_i_b(ji),zsold) |
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| 302 | ENDIF |
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[921] | 303 | |
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[825] | 304 | IF ( ht_i_b(ji) .GT. 3.06918239 ) THEN |
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| 305 | sm_i_b(ji) = 3.0 |
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| 306 | ENDIF |
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| 307 | |
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| 308 | DO jk = 1, nlay_i |
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| 309 | s_i_b(ji,jk) = sm_i_b(ji) |
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| 310 | END DO |
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[921] | 311 | |
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[825] | 312 | END DO ! ji |
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| 313 | |
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| 314 | ENDIF ! num_sal |
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| 315 | |
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[921] | 316 | !------------------------------------------------------------------------------| |
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| 317 | ! 5) Computation of salt flux due to Bottom growth |
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| 318 | !------------------------------------------------------------------------------| |
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[825] | 319 | |
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| 320 | IF ( num_sal .EQ. 4 ) THEN |
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| 321 | DO ji = kideb, kiut |
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| 322 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 323 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 324 | fseqv_1d(ji) = fseqv_1d(ji) + & |
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[921] | 325 | ( sss_m(zji,zjj) - bulk_sal ) * & |
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| 326 | rhoic * a_i_b(ji) * & |
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| 327 | MAX( dh_i_bott(ji) , 0.0 ) / rdt_ice |
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[825] | 328 | END DO |
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| 329 | ELSE |
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| 330 | DO ji = kideb, kiut |
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| 331 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 332 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 333 | fseqv_1d(ji) = fseqv_1d(ji) + & |
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[921] | 334 | ( sss_m(zji,zjj) - s_i_new(ji) ) * & |
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| 335 | rhoic * a_i_b(ji) * & |
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| 336 | MAX( dh_i_bott(ji) , 0.0 ) / rdt_ice |
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[825] | 337 | END DO ! ji |
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| 338 | ENDIF |
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| 339 | |
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[921] | 340 | !-- End of salinity computations |
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[825] | 341 | END SUBROUTINE lim_thd_sal |
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[921] | 342 | !============================================================================== |
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[825] | 343 | |
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| 344 | SUBROUTINE lim_thd_sal_init |
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| 345 | !!------------------------------------------------------------------- |
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| 346 | !! *** ROUTINE lim_thd_sal_init *** |
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| 347 | !! |
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| 348 | !! ** Purpose : initialization of ice salinity parameters |
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| 349 | !! |
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| 350 | !! ** Method : Read the namicesal namelist and check the parameter |
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| 351 | !! values called at the first timestep (nit000) |
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| 352 | !! |
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| 353 | !! ** input : Namelist namicesal |
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| 354 | !! |
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| 355 | !! history : |
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| 356 | !! 3.0 ! July 2005 M. Vancoppenolle Original code |
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| 357 | !!------------------------------------------------------------------- |
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| 358 | NAMELIST/namicesal/ num_sal, bulk_sal, sal_G, time_G, sal_F, time_F, & |
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[921] | 359 | s_i_max, s_i_min, s_i_0, s_i_1 |
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[825] | 360 | !!------------------------------------------------------------------- |
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| 361 | |
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| 362 | ! Read Namelist namicesal |
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| 363 | REWIND ( numnam_ice ) |
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| 364 | READ ( numnam_ice , namicesal ) |
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| 365 | IF(lwp) THEN |
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| 366 | WRITE(numout,*) |
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| 367 | WRITE(numout,*) 'lim_thd_sal_init : Ice parameters for salinity ' |
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| 368 | WRITE(numout,*) '~~~~~~~~~~~~~~~~' |
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| 369 | WRITE(numout,*) ' switch for salinity num_sal : ', num_sal |
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| 370 | WRITE(numout,*) ' bulk salinity value if num_sal = 1 : ', bulk_sal |
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| 371 | WRITE(numout,*) ' restoring salinity for GD : ', sal_G |
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| 372 | WRITE(numout,*) ' restoring time for GD : ', time_G |
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| 373 | WRITE(numout,*) ' restoring salinity for flushing : ', sal_F |
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| 374 | WRITE(numout,*) ' restoring time for flushing : ', time_F |
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| 375 | WRITE(numout,*) ' Maximum tolerated ice salinity : ', s_i_max |
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| 376 | WRITE(numout,*) ' Minimum tolerated ice salinity : ', s_i_min |
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| 377 | WRITE(numout,*) ' 1st salinity for salinity profile : ', s_i_0 |
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| 378 | WRITE(numout,*) ' 2nd salinity for salinity profile : ', s_i_1 |
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| 379 | ENDIF |
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| 380 | |
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| 381 | END SUBROUTINE lim_thd_sal_init |
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| 382 | |
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| 383 | #else |
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| 384 | !!---------------------------------------------------------------------- |
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| 385 | !! Default option Empty Module No sea-ice model |
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| 386 | !!---------------------------------------------------------------------- |
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| 387 | CONTAINS |
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| 388 | SUBROUTINE lim_thd_sal ! Empty routine |
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| 389 | END SUBROUTINE lim_thd_sal |
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| 390 | #endif |
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| 391 | !!====================================================================== |
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| 392 | END MODULE limthd_sal |
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