[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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[2612] | 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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[2612] | 19 | USE ice ! LIM variables |
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| 20 | USE par_ice ! LIM parameters |
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| 21 | USE thd_ice ! LIM thermodynamics |
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| 22 | USE limvar ! LIM variables |
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| 23 | USE wrk_nemo ! workspace manager |
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[2528] | 24 | USE in_out_manager ! I/O manager |
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[825] | 25 | |
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| 26 | IMPLICIT NONE |
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| 27 | PRIVATE |
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| 28 | |
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[2528] | 29 | PUBLIC lim_thd_sal ! called by limthd module |
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| 30 | PUBLIC lim_thd_sal_init ! called by iceini module |
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[825] | 31 | |
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[1156] | 32 | !!---------------------------------------------------------------------- |
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[2612] | 33 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 34 | !! $Id$ |
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[2528] | 35 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[1156] | 36 | !!---------------------------------------------------------------------- |
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[921] | 37 | CONTAINS |
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[825] | 38 | |
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[2528] | 39 | SUBROUTINE lim_thd_sal( kideb, kiut ) |
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[825] | 40 | !!------------------------------------------------------------------- |
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[2528] | 41 | !! *** ROUTINE lim_thd_sal *** |
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| 42 | !! |
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| 43 | !! ** Purpose : computes new salinities in the ice |
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[825] | 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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[2528] | 51 | INTEGER, INTENT(in) :: kideb, kiut ! thickness category index |
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| 52 | ! |
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| 53 | INTEGER :: ji, jk ! dummy loop indices |
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| 54 | INTEGER :: zji, zjj ! local integers |
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[2612] | 55 | REAL(wp) :: zsold, iflush, iaccrbo, igravdr, isnowic, i_ice_switch, ztmelts ! local scalars |
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[2528] | 56 | REAL(wp) :: zaaa, zbbb, zccc, zdiscrim ! local scalars |
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[2612] | 57 | ! |
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| 58 | REAL(wp), POINTER, DIMENSION(:) :: ze_init, zhiold, zsiold |
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[2528] | 59 | !!--------------------------------------------------------------------- |
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[825] | 60 | |
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[2612] | 61 | IF( .NOT. wrk_use(1, 1,2,3) ) THEN |
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| 62 | CALL ctl_stop('lim_thd_dh : requestead workspace arrays unavailable.') ; RETURN |
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| 63 | END IF |
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| 64 | ! Set-up pointers to sub-arrays of workspace arrays |
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| 65 | ze_init => wrk_1d_1 (1:jpij) |
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| 66 | zhiold => wrk_1d_2 (1:jpij) |
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| 67 | zsiold => wrk_1d_3 (1:jpij) |
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[825] | 68 | |
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[921] | 69 | !------------------------------------------------------------------------------| |
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| 70 | ! 1) Constant salinity, constant in time | |
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| 71 | !------------------------------------------------------------------------------| |
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[2612] | 72 | !!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] | 73 | IF( num_sal == 1 ) THEN |
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[2612] | 74 | ! |
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[825] | 75 | DO jk = 1, nlay_i |
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| 76 | DO ji = kideb, kiut |
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| 77 | s_i_b(ji,jk) = bulk_sal |
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| 78 | END DO ! ji |
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| 79 | END DO ! jk |
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[2528] | 80 | ! |
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[825] | 81 | DO ji = kideb, kiut |
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| 82 | sm_i_b(ji) = bulk_sal |
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| 83 | END DO ! ji |
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[2528] | 84 | ! |
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| 85 | ENDIF |
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[825] | 86 | |
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[921] | 87 | !------------------------------------------------------------------------------| |
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| 88 | ! Module 2 : Constant salinity varying in time | |
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| 89 | !------------------------------------------------------------------------------| |
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[825] | 90 | |
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[2612] | 91 | IF( num_sal == 2 .OR. num_sal == 4 ) THEN |
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[825] | 92 | |
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| 93 | !--------------------------------- |
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| 94 | ! Thickness at previous time step |
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| 95 | !--------------------------------- |
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| 96 | DO ji = kideb, kiut |
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[2612] | 97 | zhiold(ji) = ht_i_b(ji) - dh_i_bott(ji) - dh_snowice(ji) - dh_i_surf(ji) |
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| 98 | END DO |
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[825] | 99 | |
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| 100 | !--------------------- |
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| 101 | ! Global heat content |
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| 102 | !--------------------- |
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[2612] | 103 | ze_init(:) = 0._wp |
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[825] | 104 | DO jk = 1, nlay_i |
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| 105 | DO ji = kideb, kiut |
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| 106 | ze_init(ji) = ze_init(ji) + q_i_b(ji,jk) * ht_i_b(ji) / nlay_i |
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[2612] | 107 | END DO |
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| 108 | END DO |
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[825] | 109 | |
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| 110 | DO ji = kideb, kiut |
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[2612] | 111 | ! |
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[825] | 112 | ! Switches |
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| 113 | !---------- |
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[2612] | 114 | iflush = MAX( 0._wp , SIGN( 1.0 , t_su_b(ji) - rtt ) ) ! =1 if summer |
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| 115 | 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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| 116 | iaccrbo = MAX( 0._wp , SIGN( 1.0 , dh_i_bott(ji) ) ) ! =1 if bottom accretion |
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| 117 | i_ice_switch = 1._wp - MAX ( 0._wp , SIGN( 1._wp , - ht_i_b(ji) + 1.e-2 ) ) |
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| 118 | 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] | 119 | |
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| 120 | !--------------------- |
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| 121 | ! Salinity tendencies |
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| 122 | !--------------------- |
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[2612] | 123 | ! ! drainage by gravity drainage |
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[2528] | 124 | dsm_i_gd_1d(ji) = - igravdr * MAX( sm_i_b(ji) - sal_G , 0._wp ) / time_G * rdt_ice |
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[2612] | 125 | ! ! drainage by flushing |
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| 126 | dsm_i_fl_1d(ji) = - iflush * MAX( sm_i_b(ji) - sal_F , 0._wp ) / time_F * rdt_ice |
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[825] | 127 | |
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| 128 | !----------------- |
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| 129 | ! Update salinity |
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| 130 | !----------------- |
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| 131 | ! only drainage terms ( gravity drainage and flushing ) |
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[2612] | 132 | ! snow ice / bottom sources are added in lim_thd_ent to conserve energy |
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[825] | 133 | zsiold(ji) = sm_i_b(ji) |
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[2528] | 134 | sm_i_b(ji) = sm_i_b(ji) + dsm_i_fl_1d(ji) + dsm_i_gd_1d(ji) |
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[825] | 135 | |
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[2612] | 136 | ! if no ice, salinity = 0.1 |
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[2528] | 137 | i_ice_switch = 1._wp - MAX ( 0._wp, SIGN( 1._wp , - ht_i_b(ji) ) ) |
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[2612] | 138 | sm_i_b(ji) = i_ice_switch * sm_i_b(ji) + s_i_min * ( 1._wp - i_ice_switch ) |
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[825] | 139 | END DO ! ji |
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| 140 | |
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| 141 | ! Salinity profile |
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[2528] | 142 | CALL lim_var_salprof1d( kideb, kiut ) |
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[825] | 143 | |
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| 144 | !---------------------------- |
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| 145 | ! Heat flux - brine drainage |
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| 146 | !---------------------------- |
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| 147 | |
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| 148 | DO ji = kideb, kiut |
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[2612] | 149 | !!gm useless |
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[825] | 150 | ! iflush : 1 if summer |
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[2528] | 151 | iflush = MAX( 0._wp , SIGN ( 1._wp , t_su_b(ji) - rtt ) ) |
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[825] | 152 | ! igravdr : 1 if t_su lt t_bo |
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[2528] | 153 | igravdr = MAX( 0._wp , SIGN ( 1._wp , t_bo_b(ji) - t_su_b(ji) ) ) |
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[825] | 154 | ! iaccrbo : 1 if bottom accretion |
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[2528] | 155 | iaccrbo = MAX( 0._wp , SIGN ( 1._wp , dh_i_bott(ji) ) ) |
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[2612] | 156 | !!gm end useless |
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[2528] | 157 | ! |
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| 158 | fhbri_1d(ji) = 0._wp |
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[825] | 159 | END DO ! ji |
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| 160 | |
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| 161 | !---------------------------- |
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| 162 | ! Salt flux - brine drainage |
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| 163 | !---------------------------- |
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| 164 | DO ji = kideb, kiut |
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[2528] | 165 | i_ice_switch = 1._wp - MAX ( 0._wp, SIGN( 1._wp , - ht_i_b(ji) ) ) |
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| 166 | fsbri_1d(ji) = fsbri_1d(ji) - i_ice_switch * rhoic * a_i_b(ji) * ht_i_b(ji) & |
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| 167 | & * ( MAX(dsm_i_gd_1d(ji) + dsm_i_fl_1d(ji), sm_i_b(ji) - zsiold(ji) ) ) / rdt_ice |
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| 168 | IF( num_sal == 4 ) fsbri_1d(ji) = 0._wp |
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[825] | 169 | END DO ! ji |
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| 170 | |
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| 171 | ! Only necessary for conservation check since salinity is modified |
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| 172 | !-------------------- |
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| 173 | ! Temperature update |
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| 174 | !-------------------- |
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| 175 | DO jk = 1, nlay_i |
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| 176 | DO ji = kideb, kiut |
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| 177 | ztmelts = -tmut*s_i_b(ji,jk) + rtt |
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| 178 | !Conversion q(S,T) -> T (second order equation) |
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| 179 | zaaa = cpic |
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[2528] | 180 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + q_i_b(ji,jk) / rhoic - lfus |
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[825] | 181 | zccc = lfus * ( ztmelts - rtt ) |
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[2612] | 182 | zdiscrim = SQRT( MAX( zbbb*zbbb - 4.0*zaaa*zccc, 0._wp ) ) |
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[2528] | 183 | t_i_b(ji,jk) = rtt - ( zbbb + zdiscrim ) / ( 2.0 *zaaa ) |
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[2612] | 184 | END DO |
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| 185 | END DO |
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[2528] | 186 | ! |
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[825] | 187 | ENDIF ! num_sal .EQ. 2 |
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| 188 | |
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[921] | 189 | !------------------------------------------------------------------------------| |
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| 190 | ! Module 3 : Profile of salinity, constant in time | |
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| 191 | !------------------------------------------------------------------------------| |
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[825] | 192 | |
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[2612] | 193 | IF( num_sal == 3 ) CALL lim_var_salprof1d( kideb, kiut ) |
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[825] | 194 | |
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[921] | 195 | !------------------------------------------------------------------------------| |
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| 196 | ! Module 4 : Constant salinity varying in time | |
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| 197 | !------------------------------------------------------------------------------| |
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[825] | 198 | |
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[2612] | 199 | IF( num_sal == 5 ) THEN ! Cox and Weeks, 1974 |
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| 200 | ! |
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[825] | 201 | DO ji = kideb, kiut |
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| 202 | zsold = sm_i_b(ji) |
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[2612] | 203 | IF( ht_i_b(ji) < 0.4 ) THEN |
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| 204 | sm_i_b(ji) = 14.24 - 19.39 * ht_i_b(ji) |
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[825] | 205 | ELSE |
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[2612] | 206 | sm_i_b(ji) = 7.88 - 1.59 * ht_i_b(ji) |
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| 207 | sm_i_b(ji) = MIN( sm_i_b(ji) , zsold ) |
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[825] | 208 | ENDIF |
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[2612] | 209 | IF( ht_i_b(ji) > 3.06918239 ) THEN |
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| 210 | sm_i_b(ji) = 3._wp |
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[825] | 211 | ENDIF |
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| 212 | DO jk = 1, nlay_i |
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| 213 | s_i_b(ji,jk) = sm_i_b(ji) |
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| 214 | END DO |
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[2612] | 215 | END DO |
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| 216 | ! |
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[825] | 217 | ENDIF ! num_sal |
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| 218 | |
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[921] | 219 | !------------------------------------------------------------------------------| |
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| 220 | ! 5) Computation of salt flux due to Bottom growth |
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| 221 | !------------------------------------------------------------------------------| |
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[825] | 222 | |
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[2612] | 223 | IF ( num_sal == 4 ) THEN |
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[825] | 224 | DO ji = kideb, kiut |
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[2612] | 225 | zji = MOD( npb(ji) - 1 , jpi ) + 1 |
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| 226 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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[2528] | 227 | fseqv_1d(ji) = fseqv_1d(ji) + ( sss_m(zji,zjj) - bulk_sal ) & |
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| 228 | & * rhoic * a_i_b(ji) * MAX( dh_i_bott(ji) , 0.0 ) / rdt_ice |
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[825] | 229 | END DO |
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| 230 | ELSE |
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| 231 | DO ji = kideb, kiut |
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[2612] | 232 | zji = MOD( npb(ji) - 1 , jpi ) + 1 |
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| 233 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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[2528] | 234 | fseqv_1d(ji) = fseqv_1d(ji) + ( sss_m(zji,zjj) - s_i_new(ji) ) & |
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| 235 | & * rhoic * a_i_b(ji) * MAX( dh_i_bott(ji) , 0.0 ) / rdt_ice |
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[2612] | 236 | END DO |
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[825] | 237 | ENDIF |
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[2528] | 238 | ! |
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[2612] | 239 | IF( .NOT. wrk_release(1, 1,2,3) ) CALL ctl_stop( 'lim_thd_lac : failed to release workspace arrays.' ) |
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| 240 | ! |
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[825] | 241 | END SUBROUTINE lim_thd_sal |
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| 242 | |
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[2528] | 243 | |
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[825] | 244 | SUBROUTINE lim_thd_sal_init |
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| 245 | !!------------------------------------------------------------------- |
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| 246 | !! *** ROUTINE lim_thd_sal_init *** |
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| 247 | !! |
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| 248 | !! ** Purpose : initialization of ice salinity parameters |
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| 249 | !! |
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[2528] | 250 | !! ** Method : Read the namicesal namelist and check the parameter |
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| 251 | !! values called at the first timestep (nit000) |
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[825] | 252 | !! |
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| 253 | !! ** input : Namelist namicesal |
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| 254 | !!------------------------------------------------------------------- |
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[2528] | 255 | NAMELIST/namicesal/ num_sal, bulk_sal, sal_G, time_G, sal_F, time_F, & |
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| 256 | & s_i_max, s_i_min, s_i_0, s_i_1 |
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[825] | 257 | !!------------------------------------------------------------------- |
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[2528] | 258 | ! |
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| 259 | REWIND( numnam_ice ) ! Read Namelist namicesal |
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| 260 | READ ( numnam_ice , namicesal ) |
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| 261 | ! |
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| 262 | IF(lwp) THEN ! control print |
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[825] | 263 | WRITE(numout,*) |
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| 264 | WRITE(numout,*) 'lim_thd_sal_init : Ice parameters for salinity ' |
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| 265 | WRITE(numout,*) '~~~~~~~~~~~~~~~~' |
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| 266 | WRITE(numout,*) ' switch for salinity num_sal : ', num_sal |
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| 267 | WRITE(numout,*) ' bulk salinity value if num_sal = 1 : ', bulk_sal |
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| 268 | WRITE(numout,*) ' restoring salinity for GD : ', sal_G |
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| 269 | WRITE(numout,*) ' restoring time for GD : ', time_G |
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| 270 | WRITE(numout,*) ' restoring salinity for flushing : ', sal_F |
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| 271 | WRITE(numout,*) ' restoring time for flushing : ', time_F |
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| 272 | WRITE(numout,*) ' Maximum tolerated ice salinity : ', s_i_max |
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| 273 | WRITE(numout,*) ' Minimum tolerated ice salinity : ', s_i_min |
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| 274 | WRITE(numout,*) ' 1st salinity for salinity profile : ', s_i_0 |
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| 275 | WRITE(numout,*) ' 2nd salinity for salinity profile : ', s_i_1 |
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| 276 | ENDIF |
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[2528] | 277 | ! |
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[825] | 278 | END SUBROUTINE lim_thd_sal_init |
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| 279 | |
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| 280 | #else |
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| 281 | !!---------------------------------------------------------------------- |
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[2528] | 282 | !! Default option Dummy Module No LIM-3 sea-ice model |
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[825] | 283 | !!---------------------------------------------------------------------- |
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| 284 | #endif |
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| 285 | !!====================================================================== |
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| 286 | END MODULE limthd_sal |
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