[825] | 1 | MODULE limthd_sal |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limthd_sal *** |
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[2528] | 4 | !! LIM-3 sea-ice : computation of salinity variations in the ice |
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[825] | 5 | !!====================================================================== |
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[2528] | 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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[2715] | 8 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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[2528] | 9 | !!--------------------------------------------------------------------- |
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[888] | 10 | #if defined key_lim3 |
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[825] | 11 | !!---------------------------------------------------------------------- |
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[2528] | 12 | !! 'key_lim3' LIM-3 sea-ice model |
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| 13 | !!---------------------------------------------------------------------- |
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[825] | 14 | !! lim_thd_sal : salinity variations in the ice |
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[2528] | 15 | !!---------------------------------------------------------------------- |
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[825] | 16 | USE par_oce ! ocean parameters |
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| 17 | USE phycst ! physical constants (ocean directory) |
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[888] | 18 | USE sbc_oce ! Surface boundary condition: ocean fields |
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[2715] | 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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[2528] | 23 | USE in_out_manager ! I/O manager |
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[3294] | 24 | USE lib_mpp ! MPP library |
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| 25 | USE wrk_nemo ! work arrays |
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[3558] | 26 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[825] | 27 | |
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| 28 | IMPLICIT NONE |
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| 29 | PRIVATE |
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| 30 | |
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[2528] | 31 | PUBLIC lim_thd_sal ! called by limthd module |
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| 32 | PUBLIC lim_thd_sal_init ! called by iceini module |
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[825] | 33 | |
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[1156] | 34 | !!---------------------------------------------------------------------- |
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[2715] | 35 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 36 | !! $Id$ |
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[2528] | 37 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[1156] | 38 | !!---------------------------------------------------------------------- |
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[921] | 39 | CONTAINS |
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[825] | 40 | |
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[2528] | 41 | SUBROUTINE lim_thd_sal( kideb, kiut ) |
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[825] | 42 | !!------------------------------------------------------------------- |
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[2528] | 43 | !! *** ROUTINE lim_thd_sal *** |
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| 44 | !! |
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| 45 | !! ** Purpose : computes new salinities in the ice |
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[825] | 46 | !! |
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| 47 | !! ** Method : 4 possibilities |
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| 48 | !! -> num_sal = 1 -> constant salinity for z,t |
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| 49 | !! -> num_sal = 2 -> S = S(z,t) [simple Vancoppenolle et al 2005] |
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| 50 | !! -> num_sal = 3 -> S = S(z) [multiyear ice] |
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| 51 | !! -> num_sal = 4 -> S = S(h) [Cox and Weeks 74] |
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| 52 | !!--------------------------------------------------------------------- |
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[2528] | 53 | INTEGER, INTENT(in) :: kideb, kiut ! thickness category index |
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| 54 | ! |
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| 55 | INTEGER :: ji, jk ! dummy loop indices |
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| 56 | INTEGER :: zji, zjj ! local integers |
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[2715] | 57 | REAL(wp) :: zsold, iflush, iaccrbo, igravdr, isnowic, i_ice_switch, ztmelts ! local scalars |
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[2528] | 58 | REAL(wp) :: zaaa, zbbb, zccc, zdiscrim ! local scalars |
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[2715] | 59 | REAL(wp), POINTER, DIMENSION(:) :: ze_init, zhiold, zsiold |
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[2528] | 60 | !!--------------------------------------------------------------------- |
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[825] | 61 | |
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[3294] | 62 | CALL wrk_alloc( jpij, ze_init, zhiold, zsiold ) |
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[825] | 63 | |
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[921] | 64 | !------------------------------------------------------------------------------| |
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| 65 | ! 1) Constant salinity, constant in time | |
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| 66 | !------------------------------------------------------------------------------| |
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[2715] | 67 | !!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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[2528] | 68 | IF( num_sal == 1 ) THEN |
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[2715] | 69 | ! |
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[825] | 70 | DO jk = 1, nlay_i |
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| 71 | DO ji = kideb, kiut |
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| 72 | s_i_b(ji,jk) = bulk_sal |
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| 73 | END DO ! ji |
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| 74 | END DO ! jk |
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[2528] | 75 | ! |
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[825] | 76 | DO ji = kideb, kiut |
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| 77 | sm_i_b(ji) = bulk_sal |
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| 78 | END DO ! ji |
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[2528] | 79 | ! |
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| 80 | ENDIF |
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[825] | 81 | |
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[921] | 82 | !------------------------------------------------------------------------------| |
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| 83 | ! Module 2 : Constant salinity varying in time | |
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| 84 | !------------------------------------------------------------------------------| |
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[825] | 85 | |
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[2715] | 86 | IF( num_sal == 2 .OR. num_sal == 4 ) THEN |
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[825] | 87 | |
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| 88 | !--------------------------------- |
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| 89 | ! Thickness at previous time step |
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| 90 | !--------------------------------- |
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| 91 | DO ji = kideb, kiut |
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[2715] | 92 | zhiold(ji) = ht_i_b(ji) - dh_i_bott(ji) - dh_snowice(ji) - dh_i_surf(ji) |
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| 93 | END DO |
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[825] | 94 | |
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| 95 | !--------------------- |
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| 96 | ! Global heat content |
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| 97 | !--------------------- |
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[2715] | 98 | ze_init(:) = 0._wp |
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[825] | 99 | DO jk = 1, nlay_i |
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| 100 | DO ji = kideb, kiut |
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| 101 | ze_init(ji) = ze_init(ji) + q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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[2715] | 102 | END DO |
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| 103 | END DO |
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[825] | 104 | |
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| 105 | DO ji = kideb, kiut |
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[2715] | 106 | ! |
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[825] | 107 | ! Switches |
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| 108 | !---------- |
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[2715] | 109 | iflush = MAX( 0._wp , SIGN( 1.0 , t_su_b(ji) - rtt ) ) ! =1 if summer |
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| 110 | 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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| 111 | iaccrbo = MAX( 0._wp , SIGN( 1.0 , dh_i_bott(ji) ) ) ! =1 if bottom accretion |
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| 112 | i_ice_switch = 1._wp - MAX ( 0._wp , SIGN( 1._wp , - ht_i_b(ji) + 1.e-2 ) ) |
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| 113 | isnowic = 1._wp - MAX ( 0._wp , SIGN( 1._wp , - dh_snowice(ji) ) ) * i_ice_switch ! =1 if snow ice formation |
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[825] | 114 | |
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| 115 | !--------------------- |
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| 116 | ! Salinity tendencies |
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| 117 | !--------------------- |
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[2715] | 118 | ! ! drainage by gravity drainage |
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[2528] | 119 | dsm_i_gd_1d(ji) = - igravdr * MAX( sm_i_b(ji) - sal_G , 0._wp ) / time_G * rdt_ice |
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[2715] | 120 | ! ! drainage by flushing |
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| 121 | dsm_i_fl_1d(ji) = - iflush * MAX( sm_i_b(ji) - sal_F , 0._wp ) / time_F * rdt_ice |
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[825] | 122 | |
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| 123 | !----------------- |
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| 124 | ! Update salinity |
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| 125 | !----------------- |
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| 126 | ! only drainage terms ( gravity drainage and flushing ) |
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[2715] | 127 | ! snow ice / bottom sources are added in lim_thd_ent to conserve energy |
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[825] | 128 | zsiold(ji) = sm_i_b(ji) |
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[2528] | 129 | sm_i_b(ji) = sm_i_b(ji) + dsm_i_fl_1d(ji) + dsm_i_gd_1d(ji) |
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[825] | 130 | |
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[2715] | 131 | ! if no ice, salinity = 0.1 |
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[2528] | 132 | i_ice_switch = 1._wp - MAX ( 0._wp, SIGN( 1._wp , - ht_i_b(ji) ) ) |
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[2715] | 133 | sm_i_b(ji) = i_ice_switch * sm_i_b(ji) + s_i_min * ( 1._wp - i_ice_switch ) |
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[825] | 134 | END DO ! ji |
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| 135 | |
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| 136 | ! Salinity profile |
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[2528] | 137 | CALL lim_var_salprof1d( kideb, kiut ) |
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[825] | 138 | |
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| 139 | !---------------------------- |
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| 140 | ! Heat flux - brine drainage |
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| 141 | !---------------------------- |
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| 142 | |
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| 143 | DO ji = kideb, kiut |
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[2715] | 144 | !!gm useless |
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[825] | 145 | ! iflush : 1 if summer |
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[2528] | 146 | iflush = MAX( 0._wp , SIGN ( 1._wp , t_su_b(ji) - rtt ) ) |
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[825] | 147 | ! igravdr : 1 if t_su lt t_bo |
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[2528] | 148 | igravdr = MAX( 0._wp , SIGN ( 1._wp , t_bo_b(ji) - t_su_b(ji) ) ) |
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[825] | 149 | ! iaccrbo : 1 if bottom accretion |
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[2528] | 150 | iaccrbo = MAX( 0._wp , SIGN ( 1._wp , dh_i_bott(ji) ) ) |
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[2715] | 151 | !!gm end useless |
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[2528] | 152 | ! |
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| 153 | fhbri_1d(ji) = 0._wp |
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[825] | 154 | END DO ! ji |
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| 155 | |
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| 156 | !---------------------------- |
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| 157 | ! Salt flux - brine drainage |
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| 158 | !---------------------------- |
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| 159 | DO ji = kideb, kiut |
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[2528] | 160 | i_ice_switch = 1._wp - MAX ( 0._wp, SIGN( 1._wp , - ht_i_b(ji) ) ) |
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| 161 | fsbri_1d(ji) = fsbri_1d(ji) - i_ice_switch * rhoic * a_i_b(ji) * ht_i_b(ji) & |
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| 162 | & * ( MAX(dsm_i_gd_1d(ji) + dsm_i_fl_1d(ji), sm_i_b(ji) - zsiold(ji) ) ) / rdt_ice |
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| 163 | IF( num_sal == 4 ) fsbri_1d(ji) = 0._wp |
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[825] | 164 | END DO ! ji |
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| 165 | |
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| 166 | ! Only necessary for conservation check since salinity is modified |
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| 167 | !-------------------- |
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| 168 | ! Temperature update |
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| 169 | !-------------------- |
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| 170 | DO jk = 1, nlay_i |
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| 171 | DO ji = kideb, kiut |
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| 172 | ztmelts = -tmut*s_i_b(ji,jk) + rtt |
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| 173 | !Conversion q(S,T) -> T (second order equation) |
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| 174 | zaaa = cpic |
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[2528] | 175 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + q_i_b(ji,jk) / rhoic - lfus |
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[825] | 176 | zccc = lfus * ( ztmelts - rtt ) |
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[2715] | 177 | zdiscrim = SQRT( MAX( zbbb*zbbb - 4.0*zaaa*zccc, 0._wp ) ) |
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[2528] | 178 | t_i_b(ji,jk) = rtt - ( zbbb + zdiscrim ) / ( 2.0 *zaaa ) |
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[2715] | 179 | END DO |
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| 180 | END DO |
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[2528] | 181 | ! |
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[825] | 182 | ENDIF ! num_sal .EQ. 2 |
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| 183 | |
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[921] | 184 | !------------------------------------------------------------------------------| |
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| 185 | ! Module 3 : Profile of salinity, constant in time | |
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| 186 | !------------------------------------------------------------------------------| |
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[825] | 187 | |
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[2715] | 188 | IF( num_sal == 3 ) CALL lim_var_salprof1d( kideb, kiut ) |
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[825] | 189 | |
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[921] | 190 | !------------------------------------------------------------------------------| |
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| 191 | ! Module 4 : Constant salinity varying in time | |
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| 192 | !------------------------------------------------------------------------------| |
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[825] | 193 | |
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[2715] | 194 | IF( num_sal == 5 ) THEN ! Cox and Weeks, 1974 |
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| 195 | ! |
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[825] | 196 | DO ji = kideb, kiut |
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| 197 | zsold = sm_i_b(ji) |
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[2715] | 198 | IF( ht_i_b(ji) < 0.4 ) THEN |
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| 199 | sm_i_b(ji) = 14.24 - 19.39 * ht_i_b(ji) |
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[825] | 200 | ELSE |
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[2715] | 201 | sm_i_b(ji) = 7.88 - 1.59 * ht_i_b(ji) |
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| 202 | sm_i_b(ji) = MIN( sm_i_b(ji) , zsold ) |
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[825] | 203 | ENDIF |
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[2715] | 204 | IF( ht_i_b(ji) > 3.06918239 ) THEN |
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| 205 | sm_i_b(ji) = 3._wp |
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[825] | 206 | ENDIF |
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| 207 | DO jk = 1, nlay_i |
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| 208 | s_i_b(ji,jk) = sm_i_b(ji) |
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| 209 | END DO |
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[2715] | 210 | END DO |
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| 211 | ! |
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[825] | 212 | ENDIF ! num_sal |
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| 213 | |
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[921] | 214 | !------------------------------------------------------------------------------| |
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| 215 | ! 5) Computation of salt flux due to Bottom growth |
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| 216 | !------------------------------------------------------------------------------| |
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[825] | 217 | |
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[2715] | 218 | IF ( num_sal == 4 ) THEN |
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[825] | 219 | DO ji = kideb, kiut |
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[2715] | 220 | zji = MOD( npb(ji) - 1 , jpi ) + 1 |
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| 221 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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[2528] | 222 | fseqv_1d(ji) = fseqv_1d(ji) + ( sss_m(zji,zjj) - bulk_sal ) & |
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| 223 | & * rhoic * a_i_b(ji) * MAX( dh_i_bott(ji) , 0.0 ) / rdt_ice |
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[825] | 224 | END DO |
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| 225 | ELSE |
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| 226 | DO ji = kideb, kiut |
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[2715] | 227 | zji = MOD( npb(ji) - 1 , jpi ) + 1 |
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| 228 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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[2528] | 229 | fseqv_1d(ji) = fseqv_1d(ji) + ( sss_m(zji,zjj) - s_i_new(ji) ) & |
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| 230 | & * rhoic * a_i_b(ji) * MAX( dh_i_bott(ji) , 0.0 ) / rdt_ice |
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[2715] | 231 | END DO |
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[825] | 232 | ENDIF |
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[2528] | 233 | ! |
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[3294] | 234 | CALL wrk_dealloc( jpij, ze_init, zhiold, zsiold ) |
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[2715] | 235 | ! |
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[825] | 236 | END SUBROUTINE lim_thd_sal |
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| 237 | |
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[2528] | 238 | |
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[825] | 239 | SUBROUTINE lim_thd_sal_init |
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| 240 | !!------------------------------------------------------------------- |
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| 241 | !! *** ROUTINE lim_thd_sal_init *** |
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| 242 | !! |
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| 243 | !! ** Purpose : initialization of ice salinity parameters |
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| 244 | !! |
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[2528] | 245 | !! ** Method : Read the namicesal namelist and check the parameter |
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| 246 | !! values called at the first timestep (nit000) |
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[825] | 247 | !! |
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| 248 | !! ** input : Namelist namicesal |
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| 249 | !!------------------------------------------------------------------- |
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[2528] | 250 | NAMELIST/namicesal/ num_sal, bulk_sal, sal_G, time_G, sal_F, time_F, & |
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| 251 | & s_i_max, s_i_min, s_i_0, s_i_1 |
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[825] | 252 | !!------------------------------------------------------------------- |
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[2528] | 253 | ! |
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| 254 | REWIND( numnam_ice ) ! Read Namelist namicesal |
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| 255 | READ ( numnam_ice , namicesal ) |
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| 256 | ! |
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| 257 | IF(lwp) THEN ! control print |
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[825] | 258 | WRITE(numout,*) |
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| 259 | WRITE(numout,*) 'lim_thd_sal_init : Ice parameters for salinity ' |
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| 260 | WRITE(numout,*) '~~~~~~~~~~~~~~~~' |
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| 261 | WRITE(numout,*) ' switch for salinity num_sal : ', num_sal |
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| 262 | WRITE(numout,*) ' bulk salinity value if num_sal = 1 : ', bulk_sal |
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| 263 | WRITE(numout,*) ' restoring salinity for GD : ', sal_G |
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| 264 | WRITE(numout,*) ' restoring time for GD : ', time_G |
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| 265 | WRITE(numout,*) ' restoring salinity for flushing : ', sal_F |
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| 266 | WRITE(numout,*) ' restoring time for flushing : ', time_F |
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| 267 | WRITE(numout,*) ' Maximum tolerated ice salinity : ', s_i_max |
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| 268 | WRITE(numout,*) ' Minimum tolerated ice salinity : ', s_i_min |
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| 269 | WRITE(numout,*) ' 1st salinity for salinity profile : ', s_i_0 |
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| 270 | WRITE(numout,*) ' 2nd salinity for salinity profile : ', s_i_1 |
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| 271 | ENDIF |
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[2528] | 272 | ! |
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[825] | 273 | END SUBROUTINE lim_thd_sal_init |
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| 274 | |
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| 275 | #else |
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| 276 | !!---------------------------------------------------------------------- |
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[2528] | 277 | !! Default option Dummy Module No LIM-3 sea-ice model |
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[825] | 278 | !!---------------------------------------------------------------------- |
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| 279 | #endif |
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| 280 | !!====================================================================== |
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| 281 | END MODULE limthd_sal |
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