[8586] | 1 | MODULE icevar |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE icevar *** |
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[9604] | 4 | !! sea-ice: series of functions to transform or compute ice variables |
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| 5 | !!====================================================================== |
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| 6 | !! History : - ! 2006-01 (M. Vancoppenolle) Original code |
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| 7 | !! 4.0 ! 2018 (many people) SI3 [aka Sea Ice cube] |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | #if defined key_si3 |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! 'key_si3' SI3 sea-ice model |
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| 12 | !!---------------------------------------------------------------------- |
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[8586] | 13 | !! |
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| 14 | !! There are three sets of variables |
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| 15 | !! VGLO : global variables of the model |
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| 16 | !! - v_i (jpi,jpj,jpl) |
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| 17 | !! - v_s (jpi,jpj,jpl) |
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| 18 | !! - a_i (jpi,jpj,jpl) |
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| 19 | !! - t_s (jpi,jpj,jpl) |
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| 20 | !! - e_i (jpi,jpj,nlay_i,jpl) |
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[9604] | 21 | !! - e_s (jpi,jpj,nlay_s,jpl) |
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[8586] | 22 | !! - sv_i(jpi,jpj,jpl) |
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| 23 | !! - oa_i(jpi,jpj,jpl) |
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| 24 | !! VEQV : equivalent variables sometimes used in the model |
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| 25 | !! - h_i(jpi,jpj,jpl) |
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| 26 | !! - h_s(jpi,jpj,jpl) |
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| 27 | !! - t_i(jpi,jpj,nlay_i,jpl) |
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| 28 | !! ... |
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| 29 | !! VAGG : aggregate variables, averaged/summed over all |
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| 30 | !! thickness categories |
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| 31 | !! - vt_i(jpi,jpj) |
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| 32 | !! - vt_s(jpi,jpj) |
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| 33 | !! - at_i(jpi,jpj) |
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[11362] | 34 | !! - st_i(jpi,jpj) |
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[9433] | 35 | !! - et_s(jpi,jpj) total snow heat content |
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| 36 | !! - et_i(jpi,jpj) total ice thermal content |
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| 37 | !! - sm_i(jpi,jpj) mean ice salinity |
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| 38 | !! - tm_i(jpi,jpj) mean ice temperature |
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| 39 | !! - tm_s(jpi,jpj) mean snw temperature |
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[8586] | 40 | !!---------------------------------------------------------------------- |
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| 41 | !! ice_var_agg : integrate variables over layers and categories |
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| 42 | !! ice_var_glo2eqv : transform from VGLO to VEQV |
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| 43 | !! ice_var_eqv2glo : transform from VEQV to VGLO |
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| 44 | !! ice_var_salprof : salinity profile in the ice |
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| 45 | !! ice_var_salprof1d : salinity profile in the ice 1D |
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| 46 | !! ice_var_zapsmall : remove very small area and volume |
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[10994] | 47 | !! ice_var_zapneg : remove negative ice fields |
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| 48 | !! ice_var_roundoff : remove negative values arising from roundoff erros |
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[8586] | 49 | !! ice_var_bv : brine volume |
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[8984] | 50 | !! ice_var_enthalpy : compute ice and snow enthalpies from temperature |
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[10332] | 51 | !! ice_var_sshdyn : compute equivalent ssh in lead |
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[11507] | 52 | !! ice_var_itd : convert N-cat to M-cat |
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[8586] | 53 | !!---------------------------------------------------------------------- |
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| 54 | USE dom_oce ! ocean space and time domain |
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| 55 | USE phycst ! physical constants (ocean directory) |
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[10332] | 56 | USE sbc_oce , ONLY : sss_m, ln_ice_embd, nn_fsbc |
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[8586] | 57 | USE ice ! sea-ice: variables |
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| 58 | USE ice1D ! sea-ice: thermodynamics variables |
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| 59 | ! |
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| 60 | USE in_out_manager ! I/O manager |
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| 61 | USE lib_mpp ! MPP library |
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| 62 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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| 63 | |
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| 64 | IMPLICIT NONE |
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| 65 | PRIVATE |
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| 66 | |
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| 67 | PUBLIC ice_var_agg |
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| 68 | PUBLIC ice_var_glo2eqv |
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| 69 | PUBLIC ice_var_eqv2glo |
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| 70 | PUBLIC ice_var_salprof |
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| 71 | PUBLIC ice_var_salprof1d |
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| 72 | PUBLIC ice_var_zapsmall |
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[9943] | 73 | PUBLIC ice_var_zapneg |
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[10994] | 74 | PUBLIC ice_var_roundoff |
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[8586] | 75 | PUBLIC ice_var_bv |
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[8984] | 76 | PUBLIC ice_var_enthalpy |
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[10332] | 77 | PUBLIC ice_var_sshdyn |
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[11223] | 78 | PUBLIC ice_var_itd |
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[8586] | 79 | |
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[11223] | 80 | INTERFACE ice_var_itd |
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| 81 | MODULE PROCEDURE ice_var_itd_1c1c, ice_var_itd_Nc1c, ice_var_itd_1cMc, ice_var_itd_NcMc |
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| 82 | END INTERFACE |
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| 83 | |
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[8586] | 84 | !!---------------------------------------------------------------------- |
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[9598] | 85 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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[10069] | 86 | !! $Id$ |
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[10068] | 87 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[8586] | 88 | !!---------------------------------------------------------------------- |
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| 89 | CONTAINS |
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| 90 | |
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| 91 | SUBROUTINE ice_var_agg( kn ) |
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| 92 | !!------------------------------------------------------------------- |
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| 93 | !! *** ROUTINE ice_var_agg *** |
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| 94 | !! |
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| 95 | !! ** Purpose : aggregates ice-thickness-category variables to |
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| 96 | !! all-ice variables, i.e. it turns VGLO into VAGG |
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| 97 | !!------------------------------------------------------------------- |
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| 98 | INTEGER, INTENT( in ) :: kn ! =1 state variables only |
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| 99 | ! ! >1 state variables + others |
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| 100 | ! |
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| 101 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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[9433] | 102 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: z1_at_i, z1_vt_i, z1_vt_s |
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[8586] | 103 | !!------------------------------------------------------------------- |
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| 104 | ! |
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| 105 | ! ! integrated values |
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[11362] | 106 | vt_i(:,:) = SUM( v_i (:,:,:) , dim=3 ) |
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| 107 | vt_s(:,:) = SUM( v_s (:,:,:) , dim=3 ) |
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| 108 | st_i(:,:) = SUM( sv_i(:,:,:) , dim=3 ) |
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| 109 | at_i(:,:) = SUM( a_i (:,:,:) , dim=3 ) |
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| 110 | et_s(:,:) = SUM( SUM( e_s (:,:,:,:), dim=4 ), dim=3 ) |
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| 111 | et_i(:,:) = SUM( SUM( e_i (:,:,:,:), dim=4 ), dim=3 ) |
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[8813] | 112 | ! |
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[8637] | 113 | at_ip(:,:) = SUM( a_ip(:,:,:), dim=3 ) ! melt ponds |
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| 114 | vt_ip(:,:) = SUM( v_ip(:,:,:), dim=3 ) |
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[8813] | 115 | ! |
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| 116 | ato_i(:,:) = 1._wp - at_i(:,:) ! open water fraction |
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[8586] | 117 | |
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[9725] | 118 | ! The following fields are calculated for diagnostics and outputs only |
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| 119 | ! ==> Do not use them for other purposes |
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[8586] | 120 | IF( kn > 1 ) THEN |
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| 121 | ! |
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[9433] | 122 | ALLOCATE( z1_at_i(jpi,jpj) , z1_vt_i(jpi,jpj) , z1_vt_s(jpi,jpj) ) |
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[8586] | 123 | WHERE( at_i(:,:) > epsi20 ) ; z1_at_i(:,:) = 1._wp / at_i(:,:) |
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| 124 | ELSEWHERE ; z1_at_i(:,:) = 0._wp |
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| 125 | END WHERE |
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| 126 | WHERE( vt_i(:,:) > epsi20 ) ; z1_vt_i(:,:) = 1._wp / vt_i(:,:) |
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| 127 | ELSEWHERE ; z1_vt_i(:,:) = 0._wp |
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| 128 | END WHERE |
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[9433] | 129 | WHERE( vt_s(:,:) > epsi20 ) ; z1_vt_s(:,:) = 1._wp / vt_s(:,:) |
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| 130 | ELSEWHERE ; z1_vt_s(:,:) = 0._wp |
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| 131 | END WHERE |
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[8586] | 132 | ! |
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| 133 | ! ! mean ice/snow thickness |
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| 134 | hm_i(:,:) = vt_i(:,:) * z1_at_i(:,:) |
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| 135 | hm_s(:,:) = vt_s(:,:) * z1_at_i(:,:) |
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| 136 | ! |
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| 137 | ! ! mean temperature (K), salinity and age |
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| 138 | tm_su(:,:) = SUM( t_su(:,:,:) * a_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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| 139 | tm_si(:,:) = SUM( t_si(:,:,:) * a_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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| 140 | om_i (:,:) = SUM( oa_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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[11362] | 141 | sm_i (:,:) = st_i(:,:) * z1_vt_i(:,:) |
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[8586] | 142 | ! |
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| 143 | tm_i(:,:) = 0._wp |
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[9433] | 144 | tm_s(:,:) = 0._wp |
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[8586] | 145 | DO jl = 1, jpl |
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| 146 | DO jk = 1, nlay_i |
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| 147 | tm_i(:,:) = tm_i(:,:) + r1_nlay_i * t_i (:,:,jk,jl) * v_i(:,:,jl) * z1_vt_i(:,:) |
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| 148 | END DO |
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[9433] | 149 | DO jk = 1, nlay_s |
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| 150 | tm_s(:,:) = tm_s(:,:) + r1_nlay_s * t_s (:,:,jk,jl) * v_s(:,:,jl) * z1_vt_s(:,:) |
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| 151 | END DO |
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[8586] | 152 | END DO |
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| 153 | ! |
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[8637] | 154 | ! ! put rt0 where there is no ice |
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| 155 | WHERE( at_i(:,:)<=epsi20 ) |
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| 156 | tm_su(:,:) = rt0 |
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| 157 | tm_si(:,:) = rt0 |
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| 158 | tm_i (:,:) = rt0 |
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[9433] | 159 | tm_s (:,:) = rt0 |
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[8637] | 160 | END WHERE |
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| 161 | |
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[9433] | 162 | DEALLOCATE( z1_at_i , z1_vt_i , z1_vt_s ) |
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[8586] | 163 | ENDIF |
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| 164 | ! |
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| 165 | END SUBROUTINE ice_var_agg |
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| 166 | |
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| 167 | |
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| 168 | SUBROUTINE ice_var_glo2eqv |
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| 169 | !!------------------------------------------------------------------- |
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| 170 | !! *** ROUTINE ice_var_glo2eqv *** |
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| 171 | !! |
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| 172 | !! ** Purpose : computes equivalent variables as function of |
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| 173 | !! global variables, i.e. it turns VGLO into VEQV |
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| 174 | !!------------------------------------------------------------------- |
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| 175 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 176 | REAL(wp) :: ze_i ! local scalars |
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| 177 | REAL(wp) :: ze_s, ztmelts, zbbb, zccc ! - - |
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| 178 | REAL(wp) :: zhmax, z1_zhmax ! - - |
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| 179 | REAL(wp) :: zlay_i, zlay_s ! - - |
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| 180 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z1_a_i, z1_v_i |
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| 181 | !!------------------------------------------------------------------- |
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| 182 | |
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| 183 | !!gm Question 2: It is possible to define existence of sea-ice in a common way between |
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| 184 | !! ice area and ice volume ? |
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| 185 | !! the idea is to be able to define one for all at the begining of this routine |
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| 186 | !! a criteria for icy area (i.e. a_i > epsi20 and v_i > epsi20 ) |
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| 187 | |
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[8637] | 188 | !--------------------------------------------------------------- |
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| 189 | ! Ice thickness, snow thickness, ice salinity, ice age and ponds |
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| 190 | !--------------------------------------------------------------- |
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[8586] | 191 | ! !--- inverse of the ice area |
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| 192 | WHERE( a_i(:,:,:) > epsi20 ) ; z1_a_i(:,:,:) = 1._wp / a_i(:,:,:) |
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| 193 | ELSEWHERE ; z1_a_i(:,:,:) = 0._wp |
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| 194 | END WHERE |
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| 195 | ! |
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| 196 | WHERE( v_i(:,:,:) > epsi20 ) ; z1_v_i(:,:,:) = 1._wp / v_i(:,:,:) |
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| 197 | ELSEWHERE ; z1_v_i(:,:,:) = 0._wp |
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| 198 | END WHERE |
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[8637] | 199 | ! !--- ice thickness |
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| 200 | h_i(:,:,:) = v_i (:,:,:) * z1_a_i(:,:,:) |
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[8586] | 201 | |
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| 202 | zhmax = hi_max(jpl) |
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| 203 | z1_zhmax = 1._wp / hi_max(jpl) |
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[8637] | 204 | WHERE( h_i(:,:,jpl) > zhmax ) ! bound h_i by hi_max (i.e. 99 m) with associated update of ice area |
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[8586] | 205 | h_i (:,:,jpl) = zhmax |
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| 206 | a_i (:,:,jpl) = v_i(:,:,jpl) * z1_zhmax |
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[8637] | 207 | z1_a_i(:,:,jpl) = zhmax * z1_v_i(:,:,jpl) |
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[8586] | 208 | END WHERE |
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[8637] | 209 | ! !--- snow thickness |
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| 210 | h_s(:,:,:) = v_s (:,:,:) * z1_a_i(:,:,:) |
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| 211 | ! !--- ice age |
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| 212 | o_i(:,:,:) = oa_i(:,:,:) * z1_a_i(:,:,:) |
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| 213 | ! !--- pond fraction and thickness |
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| 214 | a_ip_frac(:,:,:) = a_ip(:,:,:) * z1_a_i(:,:,:) |
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| 215 | WHERE( a_ip_frac(:,:,:) > epsi20 ) ; h_ip(:,:,:) = v_ip(:,:,:) * z1_a_i(:,:,:) / a_ip_frac(:,:,:) |
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| 216 | ELSEWHERE ; h_ip(:,:,:) = 0._wp |
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| 217 | END WHERE |
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| 218 | ! |
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| 219 | ! !--- salinity (with a minimum value imposed everywhere) |
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| 220 | IF( nn_icesal == 2 ) THEN |
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[8586] | 221 | WHERE( v_i(:,:,:) > epsi20 ) ; s_i(:,:,:) = MAX( rn_simin , MIN( rn_simax, sv_i(:,:,:) * z1_v_i(:,:,:) ) ) |
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| 222 | ELSEWHERE ; s_i(:,:,:) = rn_simin |
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| 223 | END WHERE |
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| 224 | ENDIF |
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[8637] | 225 | CALL ice_var_salprof ! salinity profile |
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[8586] | 226 | |
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| 227 | !------------------- |
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| 228 | ! Ice temperature [K] (with a minimum value (rt0 - 100.)) |
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| 229 | !------------------- |
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| 230 | zlay_i = REAL( nlay_i , wp ) ! number of layers |
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| 231 | DO jl = 1, jpl |
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| 232 | DO jk = 1, nlay_i |
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| 233 | DO jj = 1, jpj |
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| 234 | DO ji = 1, jpi |
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| 235 | IF ( v_i(ji,jj,jl) > epsi20 ) THEN !--- icy area |
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| 236 | ! |
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[10930] | 237 | ze_i = e_i (ji,jj,jk,jl) * z1_v_i(ji,jj,jl) * zlay_i ! Energy of melting e(S,T) [J.m-3] |
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[9935] | 238 | ztmelts = - sz_i(ji,jj,jk,jl) * rTmlt ! Ice layer melt temperature [C] |
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[8586] | 239 | ! Conversion q(S,T) -> T (second order equation) |
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[9935] | 240 | zbbb = ( rcp - rcpi ) * ztmelts + ze_i * r1_rhoi - rLfus |
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| 241 | zccc = SQRT( MAX( zbbb * zbbb - 4._wp * rcpi * rLfus * ztmelts , 0._wp) ) |
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| 242 | t_i(ji,jj,jk,jl) = MAX( -100._wp , MIN( -( zbbb + zccc ) * 0.5_wp * r1_rcpi , ztmelts ) ) + rt0 ! [K] with bounds: -100 < t_i < ztmelts |
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[8586] | 243 | ! |
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[10930] | 244 | ELSE !--- no ice |
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[8586] | 245 | t_i(ji,jj,jk,jl) = rt0 |
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| 246 | ENDIF |
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| 247 | END DO |
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| 248 | END DO |
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| 249 | END DO |
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| 250 | END DO |
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| 251 | |
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| 252 | !-------------------- |
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| 253 | ! Snow temperature [K] (with a minimum value (rt0 - 100.)) |
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| 254 | !-------------------- |
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| 255 | zlay_s = REAL( nlay_s , wp ) |
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| 256 | DO jk = 1, nlay_s |
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| 257 | WHERE( v_s(:,:,:) > epsi20 ) !--- icy area |
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[9121] | 258 | t_s(:,:,jk,:) = rt0 + MAX( -100._wp , & |
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[9935] | 259 | & MIN( r1_rcpi * ( -r1_rhos * ( e_s(:,:,jk,:) / v_s(:,:,:) * zlay_s ) + rLfus ) , 0._wp ) ) |
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[8586] | 260 | ELSEWHERE !--- no ice |
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| 261 | t_s(:,:,jk,:) = rt0 |
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| 262 | END WHERE |
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| 263 | END DO |
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[8813] | 264 | ! |
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[8586] | 265 | ! integrated values |
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[11362] | 266 | vt_i (:,:) = SUM( v_i , dim=3 ) |
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| 267 | vt_s (:,:) = SUM( v_s , dim=3 ) |
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| 268 | at_i (:,:) = SUM( a_i , dim=3 ) |
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[8586] | 269 | ! |
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| 270 | END SUBROUTINE ice_var_glo2eqv |
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| 271 | |
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| 272 | |
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| 273 | SUBROUTINE ice_var_eqv2glo |
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| 274 | !!------------------------------------------------------------------- |
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| 275 | !! *** ROUTINE ice_var_eqv2glo *** |
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| 276 | !! |
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| 277 | !! ** Purpose : computes global variables as function of |
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| 278 | !! equivalent variables, i.e. it turns VEQV into VGLO |
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| 279 | !!------------------------------------------------------------------- |
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| 280 | ! |
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[8637] | 281 | v_i (:,:,:) = h_i (:,:,:) * a_i (:,:,:) |
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| 282 | v_s (:,:,:) = h_s (:,:,:) * a_i (:,:,:) |
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| 283 | sv_i(:,:,:) = s_i (:,:,:) * v_i (:,:,:) |
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| 284 | v_ip(:,:,:) = h_ip(:,:,:) * a_ip(:,:,:) |
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[8586] | 285 | ! |
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| 286 | END SUBROUTINE ice_var_eqv2glo |
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| 287 | |
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| 288 | |
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| 289 | SUBROUTINE ice_var_salprof |
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| 290 | !!------------------------------------------------------------------- |
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| 291 | !! *** ROUTINE ice_var_salprof *** |
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| 292 | !! |
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| 293 | !! ** Purpose : computes salinity profile in function of bulk salinity |
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| 294 | !! |
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| 295 | !! ** Method : If bulk salinity greater than zsi1, |
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| 296 | !! the profile is assumed to be constant (S_inf) |
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| 297 | !! If bulk salinity lower than zsi0, |
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| 298 | !! the profile is linear with 0 at the surface (S_zero) |
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| 299 | !! If it is between zsi0 and zsi1, it is a |
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| 300 | !! alpha-weighted linear combination of s_inf and s_zero |
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| 301 | !! |
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| 302 | !! ** References : Vancoppenolle et al., 2007 |
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| 303 | !!------------------------------------------------------------------- |
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| 304 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
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| 305 | REAL(wp) :: zsal, z1_dS |
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| 306 | REAL(wp) :: zargtemp , zs0, zs |
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| 307 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z_slope_s, zalpha ! case 2 only |
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| 308 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
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| 309 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
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| 310 | !!------------------------------------------------------------------- |
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| 311 | |
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| 312 | !!gm Question: Remove the option 3 ? How many years since it last use ? |
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| 313 | |
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| 314 | SELECT CASE ( nn_icesal ) |
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| 315 | ! |
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| 316 | ! !---------------------------------------! |
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| 317 | CASE( 1 ) ! constant salinity in time and space ! |
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| 318 | ! !---------------------------------------! |
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| 319 | sz_i(:,:,:,:) = rn_icesal |
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[9118] | 320 | s_i (:,:,:) = rn_icesal |
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[8586] | 321 | ! |
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| 322 | ! !---------------------------------------------! |
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| 323 | CASE( 2 ) ! time varying salinity with linear profile ! |
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| 324 | ! !---------------------------------------------! |
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| 325 | ! |
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| 326 | ALLOCATE( z_slope_s(jpi,jpj,jpl) , zalpha(jpi,jpj,jpl) ) |
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| 327 | ! |
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| 328 | DO jl = 1, jpl |
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| 329 | DO jk = 1, nlay_i |
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| 330 | sz_i(:,:,jk,jl) = s_i(:,:,jl) |
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| 331 | END DO |
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| 332 | END DO |
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| 333 | ! ! Slope of the linear profile |
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| 334 | WHERE( h_i(:,:,:) > epsi20 ) ; z_slope_s(:,:,:) = 2._wp * s_i(:,:,:) / h_i(:,:,:) |
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[9118] | 335 | ELSEWHERE ; z_slope_s(:,:,:) = 0._wp |
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[8586] | 336 | END WHERE |
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| 337 | ! |
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| 338 | z1_dS = 1._wp / ( zsi1 - zsi0 ) |
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| 339 | DO jl = 1, jpl |
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| 340 | DO jj = 1, jpj |
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| 341 | DO ji = 1, jpi |
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| 342 | zalpha(ji,jj,jl) = MAX( 0._wp , MIN( ( zsi1 - s_i(ji,jj,jl) ) * z1_dS , 1._wp ) ) |
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| 343 | ! ! force a constant profile when SSS too low (Baltic Sea) |
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| 344 | IF( 2._wp * s_i(ji,jj,jl) >= sss_m(ji,jj) ) zalpha(ji,jj,jl) = 0._wp |
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| 345 | END DO |
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| 346 | END DO |
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| 347 | END DO |
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[8813] | 348 | ! |
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[8586] | 349 | ! Computation of the profile |
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| 350 | DO jl = 1, jpl |
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| 351 | DO jk = 1, nlay_i |
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| 352 | DO jj = 1, jpj |
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| 353 | DO ji = 1, jpi |
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| 354 | ! ! linear profile with 0 surface value |
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| 355 | zs0 = z_slope_s(ji,jj,jl) * ( REAL(jk,wp) - 0.5_wp ) * h_i(ji,jj,jl) * r1_nlay_i |
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| 356 | zs = zalpha(ji,jj,jl) * zs0 + ( 1._wp - zalpha(ji,jj,jl) ) * s_i(ji,jj,jl) ! weighting the profile |
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| 357 | sz_i(ji,jj,jk,jl) = MIN( rn_simax, MAX( zs, rn_simin ) ) |
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| 358 | END DO |
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| 359 | END DO |
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| 360 | END DO |
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| 361 | END DO |
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| 362 | ! |
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| 363 | DEALLOCATE( z_slope_s , zalpha ) |
---|
| 364 | ! |
---|
| 365 | ! !-------------------------------------------! |
---|
| 366 | CASE( 3 ) ! constant salinity with a fix profile ! (Schwarzacher (1959) multiyear salinity profile |
---|
| 367 | ! !-------------------------------------------! (mean = 2.30) |
---|
| 368 | ! |
---|
| 369 | s_i(:,:,:) = 2.30_wp |
---|
| 370 | !!gm Remark: if we keep the case 3, then compute an store one for all time-step |
---|
| 371 | !! a array S_prof(1:nlay_i) containing the calculation and just do: |
---|
| 372 | ! DO jk = 1, nlay_i |
---|
| 373 | ! sz_i(:,:,jk,:) = S_prof(jk) |
---|
| 374 | ! END DO |
---|
| 375 | !!gm end |
---|
| 376 | ! |
---|
| 377 | DO jl = 1, jpl |
---|
| 378 | DO jk = 1, nlay_i |
---|
| 379 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
---|
| 380 | sz_i(:,:,jk,jl) = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) |
---|
| 381 | END DO |
---|
| 382 | END DO |
---|
| 383 | ! |
---|
| 384 | END SELECT |
---|
| 385 | ! |
---|
| 386 | END SUBROUTINE ice_var_salprof |
---|
| 387 | |
---|
[8813] | 388 | |
---|
[8586] | 389 | SUBROUTINE ice_var_salprof1d |
---|
| 390 | !!------------------------------------------------------------------- |
---|
| 391 | !! *** ROUTINE ice_var_salprof1d *** |
---|
| 392 | !! |
---|
| 393 | !! ** Purpose : 1d computation of the sea ice salinity profile |
---|
| 394 | !! Works with 1d vectors and is used by thermodynamic modules |
---|
| 395 | !!------------------------------------------------------------------- |
---|
| 396 | INTEGER :: ji, jk ! dummy loop indices |
---|
| 397 | REAL(wp) :: zargtemp, zsal, z1_dS ! local scalars |
---|
| 398 | REAL(wp) :: zs, zs0 ! - - |
---|
| 399 | ! |
---|
| 400 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: z_slope_s, zalpha ! |
---|
| 401 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
---|
| 402 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
---|
| 403 | !!------------------------------------------------------------------- |
---|
| 404 | ! |
---|
| 405 | SELECT CASE ( nn_icesal ) |
---|
| 406 | ! |
---|
| 407 | ! !---------------------------------------! |
---|
| 408 | CASE( 1 ) ! constant salinity in time and space ! |
---|
| 409 | ! !---------------------------------------! |
---|
| 410 | sz_i_1d(1:npti,:) = rn_icesal |
---|
| 411 | ! |
---|
| 412 | ! !---------------------------------------------! |
---|
| 413 | CASE( 2 ) ! time varying salinity with linear profile ! |
---|
| 414 | ! !---------------------------------------------! |
---|
| 415 | ! |
---|
| 416 | ALLOCATE( z_slope_s(jpij), zalpha(jpij) ) |
---|
| 417 | ! |
---|
| 418 | ! ! Slope of the linear profile |
---|
| 419 | WHERE( h_i_1d(1:npti) > epsi20 ) ; z_slope_s(1:npti) = 2._wp * s_i_1d(1:npti) / h_i_1d(1:npti) |
---|
[8984] | 420 | ELSEWHERE ; z_slope_s(1:npti) = 0._wp |
---|
[8586] | 421 | END WHERE |
---|
| 422 | |
---|
| 423 | z1_dS = 1._wp / ( zsi1 - zsi0 ) |
---|
| 424 | DO ji = 1, npti |
---|
| 425 | zalpha(ji) = MAX( 0._wp , MIN( ( zsi1 - s_i_1d(ji) ) * z1_dS , 1._wp ) ) |
---|
| 426 | ! ! force a constant profile when SSS too low (Baltic Sea) |
---|
| 427 | IF( 2._wp * s_i_1d(ji) >= sss_1d(ji) ) zalpha(ji) = 0._wp |
---|
| 428 | END DO |
---|
| 429 | ! |
---|
| 430 | ! Computation of the profile |
---|
| 431 | DO jk = 1, nlay_i |
---|
| 432 | DO ji = 1, npti |
---|
| 433 | ! ! linear profile with 0 surface value |
---|
| 434 | zs0 = z_slope_s(ji) * ( REAL(jk,wp) - 0.5_wp ) * h_i_1d(ji) * r1_nlay_i |
---|
| 435 | zs = zalpha(ji) * zs0 + ( 1._wp - zalpha(ji) ) * s_i_1d(ji) |
---|
| 436 | sz_i_1d(ji,jk) = MIN( rn_simax , MAX( zs , rn_simin ) ) |
---|
| 437 | END DO |
---|
| 438 | END DO |
---|
| 439 | ! |
---|
| 440 | DEALLOCATE( z_slope_s, zalpha ) |
---|
| 441 | |
---|
| 442 | ! !-------------------------------------------! |
---|
| 443 | CASE( 3 ) ! constant salinity with a fix profile ! (Schwarzacher (1959) multiyear salinity profile |
---|
| 444 | ! !-------------------------------------------! (mean = 2.30) |
---|
| 445 | ! |
---|
| 446 | s_i_1d(1:npti) = 2.30_wp |
---|
| 447 | ! |
---|
| 448 | !!gm cf remark in ice_var_salprof routine, CASE( 3 ) |
---|
| 449 | DO jk = 1, nlay_i |
---|
| 450 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
---|
| 451 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**( 0.407_wp / ( 0.573_wp + zargtemp ) ) ) ) |
---|
| 452 | DO ji = 1, npti |
---|
| 453 | sz_i_1d(ji,jk) = zsal |
---|
| 454 | END DO |
---|
| 455 | END DO |
---|
| 456 | ! |
---|
| 457 | END SELECT |
---|
| 458 | ! |
---|
| 459 | END SUBROUTINE ice_var_salprof1d |
---|
| 460 | |
---|
| 461 | |
---|
| 462 | SUBROUTINE ice_var_zapsmall |
---|
| 463 | !!------------------------------------------------------------------- |
---|
| 464 | !! *** ROUTINE ice_var_zapsmall *** |
---|
| 465 | !! |
---|
| 466 | !! ** Purpose : Remove too small sea ice areas and correct fluxes |
---|
| 467 | !!------------------------------------------------------------------- |
---|
| 468 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 469 | REAL(wp), DIMENSION(jpi,jpj) :: zswitch |
---|
| 470 | !!------------------------------------------------------------------- |
---|
| 471 | ! |
---|
| 472 | DO jl = 1, jpl !== loop over the categories ==! |
---|
| 473 | ! |
---|
[9448] | 474 | WHERE( a_i(:,:,jl) > epsi10 ) ; h_i(:,:,jl) = v_i(:,:,jl) / a_i(:,:,jl) |
---|
[8586] | 475 | ELSEWHERE ; h_i(:,:,jl) = 0._wp |
---|
| 476 | END WHERE |
---|
| 477 | ! |
---|
| 478 | WHERE( a_i(:,:,jl) < epsi10 .OR. v_i(:,:,jl) < epsi10 .OR. h_i(:,:,jl) < epsi10 ) ; zswitch(:,:) = 0._wp |
---|
| 479 | ELSEWHERE ; zswitch(:,:) = 1._wp |
---|
| 480 | END WHERE |
---|
[8813] | 481 | ! |
---|
[9943] | 482 | !----------------------------------------------------------------- |
---|
| 483 | ! Zap ice energy and use ocean heat to melt ice |
---|
| 484 | !----------------------------------------------------------------- |
---|
[8586] | 485 | DO jk = 1, nlay_i |
---|
| 486 | DO jj = 1 , jpj |
---|
| 487 | DO ji = 1 , jpi |
---|
| 488 | ! update exchanges with ocean |
---|
| 489 | hfx_res(ji,jj) = hfx_res(ji,jj) - (1._wp - zswitch(ji,jj) ) * e_i(ji,jj,jk,jl) * r1_rdtice ! W.m-2 <0 |
---|
| 490 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * zswitch(ji,jj) |
---|
| 491 | t_i(ji,jj,jk,jl) = t_i(ji,jj,jk,jl) * zswitch(ji,jj) + rt0 * ( 1._wp - zswitch(ji,jj) ) |
---|
| 492 | END DO |
---|
| 493 | END DO |
---|
| 494 | END DO |
---|
[8813] | 495 | ! |
---|
[9271] | 496 | DO jk = 1, nlay_s |
---|
| 497 | DO jj = 1 , jpj |
---|
| 498 | DO ji = 1 , jpi |
---|
| 499 | ! update exchanges with ocean |
---|
| 500 | hfx_res(ji,jj) = hfx_res(ji,jj) - (1._wp - zswitch(ji,jj) ) * e_s(ji,jj,jk,jl) * r1_rdtice ! W.m-2 <0 |
---|
| 501 | e_s(ji,jj,jk,jl) = e_s(ji,jj,jk,jl) * zswitch(ji,jj) |
---|
| 502 | t_s(ji,jj,jk,jl) = t_s(ji,jj,jk,jl) * zswitch(ji,jj) + rt0 * ( 1._wp - zswitch(ji,jj) ) |
---|
| 503 | END DO |
---|
| 504 | END DO |
---|
| 505 | END DO |
---|
| 506 | ! |
---|
[9943] | 507 | !----------------------------------------------------------------- |
---|
| 508 | ! zap ice and snow volume, add water and salt to ocean |
---|
| 509 | !----------------------------------------------------------------- |
---|
[8586] | 510 | DO jj = 1 , jpj |
---|
| 511 | DO ji = 1 , jpi |
---|
| 512 | ! update exchanges with ocean |
---|
[9935] | 513 | sfx_res(ji,jj) = sfx_res(ji,jj) + (1._wp - zswitch(ji,jj) ) * sv_i(ji,jj,jl) * rhoi * r1_rdtice |
---|
| 514 | wfx_res(ji,jj) = wfx_res(ji,jj) + (1._wp - zswitch(ji,jj) ) * v_i (ji,jj,jl) * rhoi * r1_rdtice |
---|
| 515 | wfx_res(ji,jj) = wfx_res(ji,jj) + (1._wp - zswitch(ji,jj) ) * v_s (ji,jj,jl) * rhos * r1_rdtice |
---|
[8813] | 516 | ! |
---|
[8586] | 517 | a_i (ji,jj,jl) = a_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 518 | v_i (ji,jj,jl) = v_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 519 | v_s (ji,jj,jl) = v_s (ji,jj,jl) * zswitch(ji,jj) |
---|
| 520 | t_su (ji,jj,jl) = t_su(ji,jj,jl) * zswitch(ji,jj) + t_bo(ji,jj) * ( 1._wp - zswitch(ji,jj) ) |
---|
| 521 | oa_i (ji,jj,jl) = oa_i(ji,jj,jl) * zswitch(ji,jj) |
---|
| 522 | sv_i (ji,jj,jl) = sv_i(ji,jj,jl) * zswitch(ji,jj) |
---|
[8813] | 523 | ! |
---|
[8586] | 524 | h_i (ji,jj,jl) = h_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 525 | h_s (ji,jj,jl) = h_s (ji,jj,jl) * zswitch(ji,jj) |
---|
[8813] | 526 | ! |
---|
[8637] | 527 | a_ip (ji,jj,jl) = a_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
| 528 | v_ip (ji,jj,jl) = v_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
[8813] | 529 | ! |
---|
[8586] | 530 | END DO |
---|
| 531 | END DO |
---|
[8813] | 532 | ! |
---|
[8586] | 533 | END DO |
---|
| 534 | |
---|
| 535 | ! to be sure that at_i is the sum of a_i(jl) |
---|
[11362] | 536 | at_i (:,:) = SUM( a_i (:,:,:), dim=3 ) |
---|
| 537 | vt_i (:,:) = SUM( v_i (:,:,:), dim=3 ) |
---|
| 538 | !!clem add? |
---|
| 539 | ! vt_s (:,:) = SUM( v_s (:,:,:), dim=3 ) |
---|
| 540 | ! st_i (:,:) = SUM( sv_i(:,:,:), dim=3 ) |
---|
| 541 | ! et_s(:,:) = SUM( SUM( e_s (:,:,:,:), dim=4 ), dim=3 ) |
---|
| 542 | ! et_i(:,:) = SUM( SUM( e_i (:,:,:,:), dim=4 ), dim=3 ) |
---|
| 543 | !!clem |
---|
[8586] | 544 | |
---|
| 545 | ! open water = 1 if at_i=0 |
---|
| 546 | WHERE( at_i(:,:) == 0._wp ) ato_i(:,:) = 1._wp |
---|
| 547 | ! |
---|
| 548 | END SUBROUTINE ice_var_zapsmall |
---|
| 549 | |
---|
| 550 | |
---|
[10930] | 551 | SUBROUTINE ice_var_zapneg( pdt, pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pe_s, pe_i ) |
---|
[9943] | 552 | !!------------------------------------------------------------------- |
---|
| 553 | !! *** ROUTINE ice_var_zapneg *** |
---|
| 554 | !! |
---|
| 555 | !! ** Purpose : Remove negative sea ice fields and correct fluxes |
---|
| 556 | !!------------------------------------------------------------------- |
---|
[10930] | 557 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[9943] | 558 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area |
---|
| 559 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume |
---|
| 560 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume |
---|
| 561 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psv_i ! salt content |
---|
| 562 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content |
---|
| 563 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration |
---|
| 564 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
---|
| 565 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
---|
| 566 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
---|
| 567 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
---|
[10930] | 568 | ! |
---|
| 569 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 570 | REAL(wp) :: z1_dt |
---|
[9943] | 571 | !!------------------------------------------------------------------- |
---|
| 572 | ! |
---|
[10930] | 573 | z1_dt = 1._wp / pdt |
---|
[9943] | 574 | ! |
---|
| 575 | DO jl = 1, jpl !== loop over the categories ==! |
---|
| 576 | ! |
---|
[10945] | 577 | ! make sure a_i=0 where v_i<=0 |
---|
| 578 | WHERE( pv_i(:,:,:) <= 0._wp ) pa_i(:,:,:) = 0._wp |
---|
| 579 | |
---|
[9943] | 580 | !---------------------------------------- |
---|
| 581 | ! zap ice energy and send it to the ocean |
---|
| 582 | !---------------------------------------- |
---|
| 583 | DO jk = 1, nlay_i |
---|
| 584 | DO jj = 1 , jpj |
---|
| 585 | DO ji = 1 , jpi |
---|
[10945] | 586 | IF( pe_i(ji,jj,jk,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
[10930] | 587 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_i(ji,jj,jk,jl) * z1_dt ! W.m-2 >0 |
---|
[9943] | 588 | pe_i(ji,jj,jk,jl) = 0._wp |
---|
| 589 | ENDIF |
---|
| 590 | END DO |
---|
| 591 | END DO |
---|
| 592 | END DO |
---|
| 593 | ! |
---|
| 594 | DO jk = 1, nlay_s |
---|
| 595 | DO jj = 1 , jpj |
---|
| 596 | DO ji = 1 , jpi |
---|
[10945] | 597 | IF( pe_s(ji,jj,jk,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
[10930] | 598 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_s(ji,jj,jk,jl) * z1_dt ! W.m-2 <0 |
---|
[9943] | 599 | pe_s(ji,jj,jk,jl) = 0._wp |
---|
| 600 | ENDIF |
---|
| 601 | END DO |
---|
| 602 | END DO |
---|
| 603 | END DO |
---|
| 604 | ! |
---|
| 605 | !----------------------------------------------------- |
---|
| 606 | ! zap ice and snow volume, add water and salt to ocean |
---|
| 607 | !----------------------------------------------------- |
---|
| 608 | DO jj = 1 , jpj |
---|
| 609 | DO ji = 1 , jpi |
---|
[10945] | 610 | IF( pv_i(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
[10930] | 611 | wfx_res(ji,jj) = wfx_res(ji,jj) + pv_i (ji,jj,jl) * rhoi * z1_dt |
---|
[9943] | 612 | pv_i (ji,jj,jl) = 0._wp |
---|
| 613 | ENDIF |
---|
[10945] | 614 | IF( pv_s(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
[10930] | 615 | wfx_res(ji,jj) = wfx_res(ji,jj) + pv_s (ji,jj,jl) * rhos * z1_dt |
---|
[9943] | 616 | pv_s (ji,jj,jl) = 0._wp |
---|
| 617 | ENDIF |
---|
[10945] | 618 | IF( psv_i(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
[10930] | 619 | sfx_res(ji,jj) = sfx_res(ji,jj) + psv_i(ji,jj,jl) * rhoi * z1_dt |
---|
[9943] | 620 | psv_i (ji,jj,jl) = 0._wp |
---|
| 621 | ENDIF |
---|
| 622 | END DO |
---|
| 623 | END DO |
---|
| 624 | ! |
---|
| 625 | END DO |
---|
| 626 | ! |
---|
[10413] | 627 | WHERE( pato_i(:,:) < 0._wp ) pato_i(:,:) = 0._wp |
---|
| 628 | WHERE( poa_i (:,:,:) < 0._wp ) poa_i (:,:,:) = 0._wp |
---|
| 629 | WHERE( pa_i (:,:,:) < 0._wp ) pa_i (:,:,:) = 0._wp |
---|
| 630 | WHERE( pa_ip (:,:,:) < 0._wp ) pa_ip (:,:,:) = 0._wp |
---|
| 631 | WHERE( pv_ip (:,:,:) < 0._wp ) pv_ip (:,:,:) = 0._wp ! in theory one should change wfx_pnd(-) and wfx_sum(+) |
---|
| 632 | ! but it does not change conservation, so keep it this way is ok |
---|
| 633 | ! |
---|
[9943] | 634 | END SUBROUTINE ice_var_zapneg |
---|
| 635 | |
---|
[10994] | 636 | |
---|
| 637 | SUBROUTINE ice_var_roundoff( pa_i, pv_i, pv_s, psv_i, poa_i, pa_ip, pv_ip, pe_s, pe_i ) |
---|
| 638 | !!------------------------------------------------------------------- |
---|
| 639 | !! *** ROUTINE ice_var_roundoff *** |
---|
| 640 | !! |
---|
| 641 | !! ** Purpose : Remove negative sea ice values arising from roundoff errors |
---|
| 642 | !!------------------------------------------------------------------- |
---|
| 643 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pa_i ! ice concentration |
---|
| 644 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_i ! ice volume |
---|
| 645 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_s ! snw volume |
---|
| 646 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: psv_i ! salt content |
---|
| 647 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: poa_i ! age content |
---|
| 648 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
---|
| 649 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
---|
| 650 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pe_s ! snw heat content |
---|
| 651 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pe_i ! ice heat content |
---|
| 652 | !!------------------------------------------------------------------- |
---|
| 653 | ! |
---|
| 654 | WHERE( pa_i (1:npti,:) < 0._wp .AND. pa_i (1:npti,:) > -epsi10 ) pa_i (1:npti,:) = 0._wp ! a_i must be >= 0 |
---|
| 655 | WHERE( pv_i (1:npti,:) < 0._wp .AND. pv_i (1:npti,:) > -epsi10 ) pv_i (1:npti,:) = 0._wp ! v_i must be >= 0 |
---|
| 656 | WHERE( pv_s (1:npti,:) < 0._wp .AND. pv_s (1:npti,:) > -epsi10 ) pv_s (1:npti,:) = 0._wp ! v_s must be >= 0 |
---|
| 657 | WHERE( psv_i(1:npti,:) < 0._wp .AND. psv_i(1:npti,:) > -epsi10 ) psv_i(1:npti,:) = 0._wp ! sv_i must be >= 0 |
---|
| 658 | WHERE( poa_i(1:npti,:) < 0._wp .AND. poa_i(1:npti,:) > -epsi10 ) poa_i(1:npti,:) = 0._wp ! oa_i must be >= 0 |
---|
| 659 | WHERE( pe_i (1:npti,:,:) < 0._wp .AND. pe_i (1:npti,:,:) > -epsi06 ) pe_i (1:npti,:,:) = 0._wp ! e_i must be >= 0 |
---|
| 660 | WHERE( pe_s (1:npti,:,:) < 0._wp .AND. pe_s (1:npti,:,:) > -epsi06 ) pe_s (1:npti,:,:) = 0._wp ! e_s must be >= 0 |
---|
| 661 | IF ( ln_pnd_H12 ) THEN |
---|
| 662 | WHERE( pa_ip(1:npti,:) < 0._wp .AND. pa_ip(1:npti,:) > -epsi10 ) pa_ip(1:npti,:) = 0._wp ! a_ip must be >= 0 |
---|
| 663 | WHERE( pv_ip(1:npti,:) < 0._wp .AND. pv_ip(1:npti,:) > -epsi10 ) pv_ip(1:npti,:) = 0._wp ! v_ip must be >= 0 |
---|
| 664 | ENDIF |
---|
| 665 | ! |
---|
| 666 | END SUBROUTINE ice_var_roundoff |
---|
[9943] | 667 | |
---|
[11223] | 668 | |
---|
| 669 | SUBROUTINE ice_var_bv |
---|
| 670 | !!------------------------------------------------------------------- |
---|
| 671 | !! *** ROUTINE ice_var_bv *** |
---|
| 672 | !! |
---|
| 673 | !! ** Purpose : computes mean brine volume (%) in sea ice |
---|
| 674 | !! |
---|
| 675 | !! ** Method : e = - 0.054 * S (ppt) / T (C) |
---|
| 676 | !! |
---|
| 677 | !! References : Vancoppenolle et al., JGR, 2007 |
---|
| 678 | !!------------------------------------------------------------------- |
---|
| 679 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
| 680 | !!------------------------------------------------------------------- |
---|
| 681 | ! |
---|
| 682 | !!gm I prefere to use WHERE / ELSEWHERE to set it to zero only where needed <<<=== to be done |
---|
| 683 | !! instead of setting everything to zero as just below |
---|
| 684 | bv_i (:,:,:) = 0._wp |
---|
| 685 | DO jl = 1, jpl |
---|
| 686 | DO jk = 1, nlay_i |
---|
| 687 | WHERE( t_i(:,:,jk,jl) < rt0 - epsi10 ) |
---|
| 688 | bv_i(:,:,jl) = bv_i(:,:,jl) - rTmlt * sz_i(:,:,jk,jl) * r1_nlay_i / ( t_i(:,:,jk,jl) - rt0 ) |
---|
| 689 | END WHERE |
---|
| 690 | END DO |
---|
| 691 | END DO |
---|
| 692 | WHERE( vt_i(:,:) > epsi20 ) ; bvm_i(:,:) = SUM( bv_i(:,:,:) * v_i(:,:,:) , dim=3 ) / vt_i(:,:) |
---|
| 693 | ELSEWHERE ; bvm_i(:,:) = 0._wp |
---|
| 694 | END WHERE |
---|
| 695 | ! |
---|
| 696 | END SUBROUTINE ice_var_bv |
---|
| 697 | |
---|
| 698 | |
---|
| 699 | SUBROUTINE ice_var_enthalpy |
---|
| 700 | !!------------------------------------------------------------------- |
---|
| 701 | !! *** ROUTINE ice_var_enthalpy *** |
---|
| 702 | !! |
---|
| 703 | !! ** Purpose : Computes sea ice energy of melting q_i (J.m-3) from temperature |
---|
| 704 | !! |
---|
| 705 | !! ** Method : Formula (Bitz and Lipscomb, 1999) |
---|
| 706 | !!------------------------------------------------------------------- |
---|
| 707 | INTEGER :: ji, jk ! dummy loop indices |
---|
| 708 | REAL(wp) :: ztmelts ! local scalar |
---|
| 709 | !!------------------------------------------------------------------- |
---|
| 710 | ! |
---|
| 711 | DO jk = 1, nlay_i ! Sea ice energy of melting |
---|
| 712 | DO ji = 1, npti |
---|
| 713 | ztmelts = - rTmlt * sz_i_1d(ji,jk) |
---|
| 714 | t_i_1d(ji,jk) = MIN( t_i_1d(ji,jk), ztmelts + rt0 ) ! Force t_i_1d to be lower than melting point => likely conservation issue |
---|
| 715 | ! (sometimes zdf scheme produces abnormally high temperatures) |
---|
| 716 | e_i_1d(ji,jk) = rhoi * ( rcpi * ( ztmelts - ( t_i_1d(ji,jk) - rt0 ) ) & |
---|
| 717 | & + rLfus * ( 1._wp - ztmelts / ( t_i_1d(ji,jk) - rt0 ) ) & |
---|
| 718 | & - rcp * ztmelts ) |
---|
| 719 | END DO |
---|
| 720 | END DO |
---|
| 721 | DO jk = 1, nlay_s ! Snow energy of melting |
---|
| 722 | DO ji = 1, npti |
---|
| 723 | e_s_1d(ji,jk) = rhos * ( rcpi * ( rt0 - t_s_1d(ji,jk) ) + rLfus ) |
---|
| 724 | END DO |
---|
| 725 | END DO |
---|
| 726 | ! |
---|
| 727 | END SUBROUTINE ice_var_enthalpy |
---|
| 728 | |
---|
[10994] | 729 | |
---|
[11223] | 730 | FUNCTION ice_var_sshdyn(pssh, psnwice_mass, psnwice_mass_b) |
---|
| 731 | !!--------------------------------------------------------------------- |
---|
| 732 | !! *** ROUTINE ice_var_sshdyn *** |
---|
| 733 | !! |
---|
| 734 | !! ** Purpose : compute the equivalent ssh in lead when sea ice is embedded |
---|
| 735 | !! |
---|
| 736 | !! ** Method : ssh_lead = ssh + (Mice + Msnow) / rau0 |
---|
| 737 | !! |
---|
| 738 | !! ** Reference : Jean-Michel Campin, John Marshall, David Ferreira, |
---|
| 739 | !! Sea ice-ocean coupling using a rescaled vertical coordinate z*, |
---|
| 740 | !! Ocean Modelling, Volume 24, Issues 1-2, 2008 |
---|
| 741 | !!---------------------------------------------------------------------- |
---|
| 742 | ! |
---|
| 743 | ! input |
---|
| 744 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pssh !: ssh [m] |
---|
| 745 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psnwice_mass !: mass of snow and ice at current ice time step [Kg/m2] |
---|
| 746 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psnwice_mass_b !: mass of snow and ice at previous ice time step [Kg/m2] |
---|
| 747 | ! |
---|
| 748 | ! output |
---|
| 749 | REAL(wp), DIMENSION(jpi,jpj) :: ice_var_sshdyn ! equivalent ssh in lead [m] |
---|
| 750 | ! |
---|
| 751 | ! temporary |
---|
| 752 | REAL(wp) :: zintn, zintb ! time interpolation weights [] |
---|
| 753 | REAL(wp), DIMENSION(jpi,jpj) :: zsnwiceload ! snow and ice load [m] |
---|
| 754 | ! |
---|
| 755 | ! compute ice load used to define the equivalent ssh in lead |
---|
| 756 | IF( ln_ice_embd ) THEN |
---|
| 757 | ! |
---|
| 758 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[n/nn_fsbc], n=0,nn_fsbc-1} |
---|
| 759 | ! = (1/nn_fsbc)^2 * {SUM[n] , n=0,nn_fsbc-1} |
---|
| 760 | zintn = REAL( nn_fsbc - 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
| 761 | ! |
---|
| 762 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[1-n/nn_fsbc], n=0,nn_fsbc-1} |
---|
| 763 | ! = (1/nn_fsbc)^2 * (nn_fsbc^2 - {SUM[n], n=0,nn_fsbc-1}) |
---|
| 764 | zintb = REAL( nn_fsbc + 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
| 765 | ! |
---|
| 766 | zsnwiceload(:,:) = ( zintn * psnwice_mass(:,:) + zintb * psnwice_mass_b(:,:) ) * r1_rau0 |
---|
| 767 | ! |
---|
| 768 | ELSE |
---|
| 769 | zsnwiceload(:,:) = 0.0_wp |
---|
| 770 | ENDIF |
---|
| 771 | ! compute equivalent ssh in lead |
---|
| 772 | ice_var_sshdyn(:,:) = pssh(:,:) + zsnwiceload(:,:) |
---|
| 773 | ! |
---|
| 774 | END FUNCTION ice_var_sshdyn |
---|
| 775 | |
---|
| 776 | |
---|
| 777 | !!------------------------------------------------------------------- |
---|
| 778 | !! *** INTERFACE ice_var_itd *** |
---|
| 779 | !! |
---|
| 780 | !! ** Purpose : converting N-cat ice to jpl ice categories |
---|
| 781 | !!------------------------------------------------------------------- |
---|
[11332] | 782 | SUBROUTINE ice_var_itd_1c1c( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
| 783 | & ptmi, ptms, ptmsu, psmi, pt_i, pt_s, pt_su, ps_i ) |
---|
[8586] | 784 | !!------------------------------------------------------------------- |
---|
[11223] | 785 | !! ** Purpose : converting 1-cat ice to 1 ice category |
---|
| 786 | !!------------------------------------------------------------------- |
---|
[11332] | 787 | REAL(wp), DIMENSION(:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
---|
| 788 | REAL(wp), DIMENSION(:), INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
---|
[11507] | 789 | REAL(wp), DIMENSION(:), INTENT(in) :: ptmi, ptms, ptmsu, psmi ! input ice/snow temp & sal |
---|
| 790 | REAL(wp), DIMENSION(:), INTENT(inout) :: pt_i, pt_s, pt_su, ps_i ! output ice/snow temp & sal |
---|
[11223] | 791 | !!------------------------------------------------------------------- |
---|
[11332] | 792 | ! == thickness and concentration == ! |
---|
| 793 | ph_i(:) = phti(:) |
---|
| 794 | ph_s(:) = phts(:) |
---|
| 795 | pa_i(:) = pati(:) |
---|
| 796 | ! |
---|
| 797 | ! == temperature and salinity == ! |
---|
[11507] | 798 | pt_i (:) = ptmi (:) |
---|
| 799 | pt_s (:) = ptms (:) |
---|
| 800 | pt_su(:) = ptmsu(:) |
---|
| 801 | ps_i (:) = psmi (:) |
---|
[11332] | 802 | |
---|
[11223] | 803 | END SUBROUTINE ice_var_itd_1c1c |
---|
| 804 | |
---|
[11332] | 805 | SUBROUTINE ice_var_itd_Nc1c( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
| 806 | & ptmi, ptms, ptmsu, psmi, pt_i, pt_s, pt_su, ps_i ) |
---|
[11223] | 807 | !!------------------------------------------------------------------- |
---|
| 808 | !! ** Purpose : converting N-cat ice to 1 ice category |
---|
| 809 | !!------------------------------------------------------------------- |
---|
[11332] | 810 | REAL(wp), DIMENSION(:,:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
---|
| 811 | REAL(wp), DIMENSION(:) , INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
---|
[11507] | 812 | REAL(wp), DIMENSION(:,:), INTENT(in) :: ptmi, ptms, ptmsu, psmi ! input ice/snow temp & sal |
---|
| 813 | REAL(wp), DIMENSION(:) , INTENT(inout) :: pt_i, pt_s, pt_su, ps_i ! output ice/snow temp & sal |
---|
[11332] | 814 | ! |
---|
| 815 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: z1_ai, z1_vi, z1_vs |
---|
| 816 | ! |
---|
| 817 | INTEGER :: idim |
---|
[11223] | 818 | !!------------------------------------------------------------------- |
---|
| 819 | ! |
---|
[11332] | 820 | idim = SIZE( phti, 1 ) |
---|
[11223] | 821 | ! |
---|
[11332] | 822 | ! == thickness and concentration == ! |
---|
[11507] | 823 | ALLOCATE( z1_ai(idim), z1_vi(idim), z1_vs(idim) ) |
---|
[11332] | 824 | ! |
---|
| 825 | pa_i(:) = SUM( pati(:,:), dim=2 ) |
---|
| 826 | |
---|
| 827 | WHERE( ( pa_i(:) ) /= 0._wp ) ; z1_ai(:) = 1._wp / pa_i(:) |
---|
| 828 | ELSEWHERE ; z1_ai(:) = 0._wp |
---|
[11223] | 829 | END WHERE |
---|
[11332] | 830 | |
---|
| 831 | ph_i(:) = SUM( phti(:,:) * pati(:,:), dim=2 ) * z1_ai(:) |
---|
| 832 | ph_s(:) = SUM( phts(:,:) * pati(:,:), dim=2 ) * z1_ai(:) |
---|
[11223] | 833 | ! |
---|
[11332] | 834 | ! == temperature and salinity == ! |
---|
[11507] | 835 | WHERE( ( pa_i(:) * ph_i(:) ) /= 0._wp ) ; z1_vi(:) = 1._wp / ( pa_i(:) * ph_i(:) ) |
---|
| 836 | ELSEWHERE ; z1_vi(:) = 0._wp |
---|
| 837 | END WHERE |
---|
| 838 | WHERE( ( pa_i(:) * ph_s(:) ) /= 0._wp ) ; z1_vs(:) = 1._wp / ( pa_i(:) * ph_s(:) ) |
---|
| 839 | ELSEWHERE ; z1_vs(:) = 0._wp |
---|
| 840 | END WHERE |
---|
| 841 | pt_i (:) = SUM( ptmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
| 842 | pt_s (:) = SUM( ptms (:,:) * pati(:,:) * phts(:,:), dim=2 ) * z1_vs(:) |
---|
| 843 | pt_su(:) = SUM( ptmsu(:,:) * pati(:,:) , dim=2 ) * z1_ai(:) |
---|
| 844 | ps_i (:) = SUM( psmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
[11332] | 845 | ! |
---|
[11507] | 846 | DEALLOCATE( z1_ai, z1_vi, z1_vs ) |
---|
[11332] | 847 | ! |
---|
[11223] | 848 | END SUBROUTINE ice_var_itd_Nc1c |
---|
| 849 | |
---|
[11332] | 850 | SUBROUTINE ice_var_itd_1cMc( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
| 851 | & ptmi, ptms, ptmsu, psmi, pt_i, pt_s, pt_su, ps_i ) |
---|
[11223] | 852 | !!------------------------------------------------------------------- |
---|
[8586] | 853 | !! |
---|
[11223] | 854 | !! ** Purpose : converting 1-cat ice to jpl ice categories |
---|
[8586] | 855 | !! |
---|
| 856 | !! ice thickness distribution follows a gaussian law |
---|
| 857 | !! around the concentration of the most likely ice thickness |
---|
| 858 | !! (similar as iceistate.F90) |
---|
| 859 | !! |
---|
| 860 | !! ** Method: Iterative procedure |
---|
| 861 | !! |
---|
| 862 | !! 1) Try to fill the jpl ice categories (bounds hi_max(0:jpl)) with a gaussian |
---|
| 863 | !! |
---|
| 864 | !! 2) Check whether the distribution conserves area and volume, positivity and |
---|
| 865 | !! category boundaries |
---|
| 866 | !! |
---|
| 867 | !! 3) If not (input ice is too thin), the last category is empty and |
---|
| 868 | !! the number of categories is reduced (jpl-1) |
---|
| 869 | !! |
---|
| 870 | !! 4) Iterate until ok (SUM(itest(:) = 4) |
---|
| 871 | !! |
---|
[11332] | 872 | !! ** Arguments : phti: 1-cat ice thickness |
---|
| 873 | !! phts: 1-cat snow depth |
---|
| 874 | !! pati: 1-cat ice concentration |
---|
[8586] | 875 | !! |
---|
| 876 | !! ** Output : jpl-cat |
---|
| 877 | !! |
---|
| 878 | !! (Example of application: BDY forcings when input are cell averaged) |
---|
| 879 | !!------------------------------------------------------------------- |
---|
[11332] | 880 | REAL(wp), DIMENSION(:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
---|
| 881 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
---|
[11507] | 882 | REAL(wp), DIMENSION(:) , INTENT(in) :: ptmi, ptms, ptmsu, psmi ! input ice/snow temp & sal |
---|
| 883 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pt_i, pt_s, pt_su, ps_i ! output ice/snow temp & sal |
---|
[11332] | 884 | ! |
---|
| 885 | INTEGER , DIMENSION(4) :: itest |
---|
| 886 | INTEGER :: ji, jk, jl |
---|
| 887 | INTEGER :: idim, i_fill, jl0 |
---|
| 888 | REAL(wp) :: zarg, zV, zconv, zdh, zdv |
---|
[8586] | 889 | !!------------------------------------------------------------------- |
---|
| 890 | ! |
---|
[11332] | 891 | ! == thickness and concentration == ! |
---|
[8586] | 892 | ! distribution over the jpl ice categories |
---|
[11332] | 893 | ! a gaussian distribution for ice concentration is used |
---|
| 894 | ! then we check whether the distribution fullfills |
---|
| 895 | ! volume and area conservation, positivity and ice categories bounds |
---|
| 896 | idim = SIZE( phti , 1 ) |
---|
[8813] | 897 | ! |
---|
[11332] | 898 | ph_i(1:idim,1:jpl) = 0._wp |
---|
| 899 | ph_s(1:idim,1:jpl) = 0._wp |
---|
| 900 | pa_i(1:idim,1:jpl) = 0._wp |
---|
[11223] | 901 | ! |
---|
[8813] | 902 | DO ji = 1, idim |
---|
| 903 | ! |
---|
[11332] | 904 | IF( phti(ji) > 0._wp ) THEN |
---|
[8813] | 905 | ! |
---|
[8586] | 906 | ! find which category (jl0) the input ice thickness falls into |
---|
| 907 | jl0 = jpl |
---|
| 908 | DO jl = 1, jpl |
---|
[11332] | 909 | IF ( ( phti(ji) >= hi_max(jl-1) ) .AND. ( phti(ji) < hi_max(jl) ) ) THEN |
---|
[8586] | 910 | jl0 = jl |
---|
| 911 | CYCLE |
---|
| 912 | ENDIF |
---|
| 913 | END DO |
---|
[8813] | 914 | ! |
---|
[8586] | 915 | itest(:) = 0 |
---|
| 916 | i_fill = jpl + 1 !------------------------------------ |
---|
| 917 | DO WHILE ( ( SUM( itest(:) ) /= 4 ) .AND. ( i_fill >= 2 ) ) ! iterative loop on i_fill categories |
---|
| 918 | ! !------------------------------------ |
---|
| 919 | i_fill = i_fill - 1 |
---|
| 920 | ! |
---|
[11332] | 921 | ph_i(ji,1:jpl) = 0._wp |
---|
| 922 | pa_i(ji,1:jpl) = 0._wp |
---|
[8813] | 923 | itest(:) = 0 |
---|
| 924 | ! |
---|
[8586] | 925 | IF ( i_fill == 1 ) THEN !-- case very thin ice: fill only category 1 |
---|
[11332] | 926 | ph_i(ji,1) = phti(ji) |
---|
[11397] | 927 | pa_i(ji,1) = pati (ji) |
---|
[8586] | 928 | ELSE !-- case ice is thicker: fill categories >1 |
---|
| 929 | ! thickness |
---|
| 930 | DO jl = 1, i_fill - 1 |
---|
[11332] | 931 | ph_i(ji,jl) = hi_mean(jl) |
---|
[8586] | 932 | END DO |
---|
[8813] | 933 | ! |
---|
[8586] | 934 | ! concentration |
---|
[11332] | 935 | pa_i(ji,jl0) = pati(ji) / SQRT(REAL(jpl)) |
---|
[8586] | 936 | DO jl = 1, i_fill - 1 |
---|
| 937 | IF ( jl /= jl0 ) THEN |
---|
[11332] | 938 | zarg = ( ph_i(ji,jl) - phti(ji) ) / ( phti(ji) * 0.5_wp ) |
---|
| 939 | pa_i(ji,jl) = pa_i (ji,jl0) * EXP(-zarg**2) |
---|
[8586] | 940 | ENDIF |
---|
| 941 | END DO |
---|
[8813] | 942 | ! |
---|
[8586] | 943 | ! last category |
---|
[11332] | 944 | pa_i(ji,i_fill) = pati(ji) - SUM( pa_i(ji,1:i_fill-1) ) |
---|
| 945 | zV = SUM( pa_i(ji,1:i_fill-1) * ph_i(ji,1:i_fill-1) ) |
---|
| 946 | ph_i(ji,i_fill) = ( phti(ji) * pati(ji) - zV ) / MAX( pa_i(ji,i_fill), epsi10 ) |
---|
[8813] | 947 | ! |
---|
[8885] | 948 | ! correction if concentration of upper cat is greater than lower cat |
---|
| 949 | ! (it should be a gaussian around jl0 but sometimes it is not) |
---|
[8586] | 950 | IF ( jl0 /= jpl ) THEN |
---|
| 951 | DO jl = jpl, jl0+1, -1 |
---|
[11332] | 952 | IF ( pa_i(ji,jl) > pa_i(ji,jl-1) ) THEN |
---|
| 953 | zdv = ph_i(ji,jl) * pa_i(ji,jl) |
---|
| 954 | ph_i(ji,jl ) = 0._wp |
---|
| 955 | pa_i (ji,jl ) = 0._wp |
---|
| 956 | pa_i (ji,1:jl-1) = pa_i(ji,1:jl-1) + zdv / MAX( REAL(jl-1) * phti(ji), epsi10 ) |
---|
[8586] | 957 | END IF |
---|
[8813] | 958 | END DO |
---|
[8586] | 959 | ENDIF |
---|
[8813] | 960 | ! |
---|
[8586] | 961 | ENDIF |
---|
[8813] | 962 | ! |
---|
[8586] | 963 | ! Compatibility tests |
---|
[11332] | 964 | zconv = ABS( pati(ji) - SUM( pa_i(ji,1:jpl) ) ) |
---|
[8813] | 965 | IF ( zconv < epsi06 ) itest(1) = 1 ! Test 1: area conservation |
---|
| 966 | ! |
---|
[11332] | 967 | zconv = ABS( phti(ji)*pati(ji) - SUM( pa_i(ji,1:jpl)*ph_i(ji,1:jpl) ) ) |
---|
[8813] | 968 | IF ( zconv < epsi06 ) itest(2) = 1 ! Test 2: volume conservation |
---|
| 969 | ! |
---|
[11397] | 970 | IF ( ph_i(ji,i_fill) >= hi_max(i_fill-1) ) itest(3) = 1 ! Test 3: thickness of the last category is in-bounds ? |
---|
[8813] | 971 | ! |
---|
[8586] | 972 | itest(4) = 1 |
---|
| 973 | DO jl = 1, i_fill |
---|
[11397] | 974 | IF ( pa_i(ji,jl) < 0._wp ) itest(4) = 0 ! Test 4: positivity of ice concentrations |
---|
[8586] | 975 | END DO |
---|
| 976 | ! !---------------------------- |
---|
| 977 | END DO ! end iteration on categories |
---|
[8813] | 978 | ! !---------------------------- |
---|
[8586] | 979 | ENDIF |
---|
| 980 | END DO |
---|
| 981 | |
---|
[11332] | 982 | ! Add Snow in each category where pa_i is not 0 |
---|
[8586] | 983 | DO jl = 1, jpl |
---|
[8813] | 984 | DO ji = 1, idim |
---|
[11332] | 985 | IF( pa_i(ji,jl) > 0._wp ) THEN |
---|
| 986 | ph_s(ji,jl) = ph_i(ji,jl) * ( phts(ji) / phti(ji) ) |
---|
[8586] | 987 | ! In case snow load is in excess that would lead to transformation from snow to ice |
---|
| 988 | ! Then, transfer the snow excess into the ice (different from icethd_dh) |
---|
[11332] | 989 | zdh = MAX( 0._wp, ( rhos * ph_s(ji,jl) + ( rhoi - rau0 ) * ph_i(ji,jl) ) * r1_rau0 ) |
---|
[8586] | 990 | ! recompute h_i, h_s avoiding out of bounds values |
---|
[11332] | 991 | ph_i(ji,jl) = MIN( hi_max(jl), ph_i(ji,jl) + zdh ) |
---|
| 992 | ph_s(ji,jl) = MAX( 0._wp, ph_s(ji,jl) - zdh * rhoi * r1_rhos ) |
---|
[8586] | 993 | ENDIF |
---|
| 994 | END DO |
---|
| 995 | END DO |
---|
| 996 | ! |
---|
[11332] | 997 | ! == temperature and salinity == ! |
---|
[11507] | 998 | DO jl = 1, jpl |
---|
| 999 | pt_i(:,jl) = ptmi (:) |
---|
| 1000 | END DO |
---|
| 1001 | DO jl = 1, jpl |
---|
| 1002 | pt_s (:,jl) = ptms (:) |
---|
| 1003 | END DO |
---|
| 1004 | DO jl = 1, jpl |
---|
| 1005 | pt_su(:,jl) = ptmsu(:) |
---|
| 1006 | END DO |
---|
| 1007 | DO jl = 1, jpl |
---|
| 1008 | ps_i (:,jl) = psmi (:) |
---|
| 1009 | END DO |
---|
[11332] | 1010 | ! |
---|
[11223] | 1011 | END SUBROUTINE ice_var_itd_1cMc |
---|
[8586] | 1012 | |
---|
[11332] | 1013 | SUBROUTINE ice_var_itd_NcMc( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
| 1014 | & ptmi, ptms, ptmsu, psmi, pt_i, pt_s, pt_su, ps_i ) |
---|
[8586] | 1015 | !!------------------------------------------------------------------- |
---|
[8813] | 1016 | !! |
---|
| 1017 | !! ** Purpose : converting N-cat ice to jpl ice categories |
---|
| 1018 | !! |
---|
| 1019 | !! ice thickness distribution follows a gaussian law |
---|
| 1020 | !! around the concentration of the most likely ice thickness |
---|
| 1021 | !! (similar as iceistate.F90) |
---|
| 1022 | !! |
---|
| 1023 | !! ** Method: Iterative procedure |
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| 1024 | !! |
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| 1025 | !! 1) Fill ice cat that correspond to input thicknesses |
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| 1026 | !! Find the lowest(jlmin) and highest(jlmax) cat that are filled |
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| 1027 | !! |
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| 1028 | !! 2) Expand the filling to the cat jlmin-1 and jlmax+1 |
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[10994] | 1029 | !! by removing 25% ice area from jlmin and jlmax (resp.) |
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[8813] | 1030 | !! |
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| 1031 | !! 3) Expand the filling to the empty cat between jlmin and jlmax |
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| 1032 | !! by a) removing 25% ice area from the lower cat (ascendant loop jlmin=>jlmax) |
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| 1033 | !! b) removing 25% ice area from the higher cat (descendant loop jlmax=>jlmin) |
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| 1034 | !! |
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[11332] | 1035 | !! ** Arguments : phti: N-cat ice thickness |
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| 1036 | !! phts: N-cat snow depth |
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| 1037 | !! pati: N-cat ice concentration |
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[8813] | 1038 | !! |
---|
| 1039 | !! ** Output : jpl-cat |
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| 1040 | !! |
---|
| 1041 | !! (Example of application: BDY forcings when inputs have N-cat /= jpl) |
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| 1042 | !!------------------------------------------------------------------- |
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[11332] | 1043 | REAL(wp), DIMENSION(:,:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
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| 1044 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
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[11507] | 1045 | REAL(wp), DIMENSION(:,:), INTENT(in) :: ptmi, ptms, ptmsu, psmi ! input ice/snow temp & sal |
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| 1046 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pt_i, pt_s, pt_su, ps_i ! output ice/snow temp & sal |
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[11332] | 1047 | ! |
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| 1048 | INTEGER , ALLOCATABLE, DIMENSION(:,:) :: jlfil, jlfil2 |
---|
| 1049 | INTEGER , ALLOCATABLE, DIMENSION(:) :: jlmax, jlmin |
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| 1050 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: z1_ai, z1_vi, z1_vs, ztmp |
---|
| 1051 | ! |
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| 1052 | REAL(wp), PARAMETER :: ztrans = 0.25_wp |
---|
| 1053 | INTEGER :: ji, jl, jl1, jl2 |
---|
[8813] | 1054 | INTEGER :: idim, icat |
---|
| 1055 | !!------------------------------------------------------------------- |
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| 1056 | ! |
---|
[11332] | 1057 | idim = SIZE( phti, 1 ) |
---|
| 1058 | icat = SIZE( phti, 2 ) |
---|
| 1059 | ! |
---|
| 1060 | ! == thickness and concentration == ! |
---|
[11223] | 1061 | ! ! ---------------------- ! |
---|
| 1062 | IF( icat == jpl ) THEN ! input cat = output cat ! |
---|
| 1063 | ! ! ---------------------- ! |
---|
[11332] | 1064 | ph_i(:,:) = phti(:,:) |
---|
| 1065 | ph_s(:,:) = phts(:,:) |
---|
| 1066 | pa_i(:,:) = pati(:,:) |
---|
| 1067 | ! |
---|
| 1068 | ! == temperature and salinity == ! |
---|
[11507] | 1069 | pt_i (:,:) = ptmi (:,:) |
---|
| 1070 | pt_s (:,:) = ptms (:,:) |
---|
| 1071 | pt_su(:,:) = ptmsu(:,:) |
---|
| 1072 | ps_i (:,:) = psmi (:,:) |
---|
[11223] | 1073 | ! ! ---------------------- ! |
---|
[11332] | 1074 | ELSEIF( icat == 1 ) THEN ! input cat = 1 ! |
---|
[11223] | 1075 | ! ! ---------------------- ! |
---|
[11507] | 1076 | CALL ice_var_itd_1cMc( phti(:,1), phts(:,1), pati (:,1), ph_i(:,:), ph_s(:,:), pa_i (:,:), & |
---|
| 1077 | & ptmi(:,1), ptms(:,1), ptmsu(:,1), psmi(:,1), pt_i(:,:), pt_s(:,:), pt_su(:,:), ps_i(:,:) ) |
---|
[11223] | 1078 | ! ! ---------------------- ! |
---|
[11332] | 1079 | ELSEIF( jpl == 1 ) THEN ! output cat = 1 ! |
---|
[11223] | 1080 | ! ! ---------------------- ! |
---|
[11507] | 1081 | CALL ice_var_itd_Nc1c( phti(:,:), phts(:,:), pati (:,:), ph_i(:,1), ph_s(:,1), pa_i (:,1), & |
---|
| 1082 | & ptmi(:,:), ptms(:,:), ptmsu(:,:), psmi(:,:), pt_i(:,1), pt_s(:,1), pt_su(:,1), ps_i(:,1) ) |
---|
[11223] | 1083 | ! ! ----------------------- ! |
---|
| 1084 | ELSE ! input cat /= output cat ! |
---|
| 1085 | ! ! ----------------------- ! |
---|
| 1086 | |
---|
| 1087 | ALLOCATE( jlfil(idim,jpl), jlfil2(idim,jpl) ) ! allocate arrays |
---|
| 1088 | ALLOCATE( jlmin(idim), jlmax(idim) ) |
---|
[8813] | 1089 | |
---|
[11223] | 1090 | ! --- initialize output fields to 0 --- ! |
---|
[11332] | 1091 | ph_i(1:idim,1:jpl) = 0._wp |
---|
| 1092 | ph_s(1:idim,1:jpl) = 0._wp |
---|
| 1093 | pa_i(1:idim,1:jpl) = 0._wp |
---|
[11223] | 1094 | ! |
---|
| 1095 | ! --- fill the categories --- ! |
---|
| 1096 | ! find where cat-input = cat-output and fill cat-output fields |
---|
| 1097 | jlmax(:) = 0 |
---|
| 1098 | jlmin(:) = 999 |
---|
| 1099 | jlfil(:,:) = 0 |
---|
| 1100 | DO jl1 = 1, jpl |
---|
| 1101 | DO jl2 = 1, icat |
---|
| 1102 | DO ji = 1, idim |
---|
[11332] | 1103 | IF( hi_max(jl1-1) <= phti(ji,jl2) .AND. hi_max(jl1) > phti(ji,jl2) ) THEN |
---|
[11223] | 1104 | ! fill the right category |
---|
[11332] | 1105 | ph_i(ji,jl1) = phti(ji,jl2) |
---|
| 1106 | ph_s(ji,jl1) = phts(ji,jl2) |
---|
| 1107 | pa_i(ji,jl1) = pati(ji,jl2) |
---|
[11223] | 1108 | ! record categories that are filled |
---|
| 1109 | jlmax(ji) = MAX( jlmax(ji), jl1 ) |
---|
| 1110 | jlmin(ji) = MIN( jlmin(ji), jl1 ) |
---|
| 1111 | jlfil(ji,jl1) = jl1 |
---|
| 1112 | ENDIF |
---|
| 1113 | END DO |
---|
[8813] | 1114 | END DO |
---|
| 1115 | END DO |
---|
[11223] | 1116 | ! |
---|
| 1117 | ! --- fill the gaps between categories --- ! |
---|
| 1118 | ! transfer from categories filled at the previous step to the empty ones in between |
---|
[8813] | 1119 | DO ji = 1, idim |
---|
[11223] | 1120 | jl1 = jlmin(ji) |
---|
| 1121 | jl2 = jlmax(ji) |
---|
| 1122 | IF( jl1 > 1 ) THEN |
---|
| 1123 | ! fill the lower cat (jl1-1) |
---|
[11332] | 1124 | pa_i(ji,jl1-1) = ztrans * pa_i(ji,jl1) |
---|
| 1125 | ph_i(ji,jl1-1) = hi_mean(jl1-1) |
---|
[11223] | 1126 | ! remove from cat jl1 |
---|
[11332] | 1127 | pa_i(ji,jl1 ) = ( 1._wp - ztrans ) * pa_i(ji,jl1) |
---|
[8813] | 1128 | ENDIF |
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[11223] | 1129 | IF( jl2 < jpl ) THEN |
---|
| 1130 | ! fill the upper cat (jl2+1) |
---|
[11332] | 1131 | pa_i(ji,jl2+1) = ztrans * pa_i(ji,jl2) |
---|
| 1132 | ph_i(ji,jl2+1) = hi_mean(jl2+1) |
---|
[11223] | 1133 | ! remove from cat jl2 |
---|
[11332] | 1134 | pa_i(ji,jl2 ) = ( 1._wp - ztrans ) * pa_i(ji,jl2) |
---|
[8813] | 1135 | ENDIF |
---|
| 1136 | END DO |
---|
[11223] | 1137 | ! |
---|
| 1138 | jlfil2(:,:) = jlfil(:,:) |
---|
| 1139 | ! fill categories from low to high |
---|
| 1140 | DO jl = 2, jpl-1 |
---|
| 1141 | DO ji = 1, idim |
---|
| 1142 | IF( jlfil(ji,jl-1) /= 0 .AND. jlfil(ji,jl) == 0 ) THEN |
---|
| 1143 | ! fill high |
---|
[11332] | 1144 | pa_i(ji,jl) = ztrans * pa_i(ji,jl-1) |
---|
| 1145 | ph_i(ji,jl) = hi_mean(jl) |
---|
[11223] | 1146 | jlfil(ji,jl) = jl |
---|
| 1147 | ! remove low |
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[11332] | 1148 | pa_i(ji,jl-1) = ( 1._wp - ztrans ) * pa_i(ji,jl-1) |
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[11223] | 1149 | ENDIF |
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| 1150 | END DO |
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[8586] | 1151 | END DO |
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[11223] | 1152 | ! |
---|
| 1153 | ! fill categories from high to low |
---|
| 1154 | DO jl = jpl-1, 2, -1 |
---|
| 1155 | DO ji = 1, idim |
---|
| 1156 | IF( jlfil2(ji,jl+1) /= 0 .AND. jlfil2(ji,jl) == 0 ) THEN |
---|
| 1157 | ! fill low |
---|
[11332] | 1158 | pa_i(ji,jl) = pa_i(ji,jl) + ztrans * pa_i(ji,jl+1) |
---|
| 1159 | ph_i(ji,jl) = hi_mean(jl) |
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[11223] | 1160 | jlfil2(ji,jl) = jl |
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| 1161 | ! remove high |
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[11332] | 1162 | pa_i(ji,jl+1) = ( 1._wp - ztrans ) * pa_i(ji,jl+1) |
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[11223] | 1163 | ENDIF |
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| 1164 | END DO |
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[8984] | 1165 | END DO |
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[10332] | 1166 | ! |
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[11223] | 1167 | DEALLOCATE( jlfil, jlfil2 ) ! deallocate arrays |
---|
| 1168 | DEALLOCATE( jlmin, jlmax ) |
---|
[10332] | 1169 | ! |
---|
[11332] | 1170 | ! == temperature and salinity == ! |
---|
| 1171 | ! |
---|
[11507] | 1172 | ALLOCATE( z1_ai(idim), z1_vi(idim), z1_vs(idim), ztmp(idim) ) |
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[11332] | 1173 | ! |
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[11507] | 1174 | WHERE( SUM( pa_i(:,:), dim=2 ) /= 0._wp ) ; z1_ai(:) = 1._wp / SUM( pa_i(:,:), dim=2 ) |
---|
| 1175 | ELSEWHERE ; z1_ai(:) = 0._wp |
---|
| 1176 | END WHERE |
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| 1177 | WHERE( SUM( pa_i(:,:) * ph_i(:,:), dim=2 ) /= 0._wp ) ; z1_vi(:) = 1._wp / SUM( pa_i(:,:) * ph_i(:,:), dim=2 ) |
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| 1178 | ELSEWHERE ; z1_vi(:) = 0._wp |
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| 1179 | END WHERE |
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| 1180 | WHERE( SUM( pa_i(:,:) * ph_s(:,:), dim=2 ) /= 0._wp ) ; z1_vs(:) = 1._wp / SUM( pa_i(:,:) * ph_s(:,:), dim=2 ) |
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| 1181 | ELSEWHERE ; z1_vs(:) = 0._wp |
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| 1182 | END WHERE |
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| 1183 | ! |
---|
| 1184 | ! fill all the categories with the same value |
---|
| 1185 | ztmp(:) = SUM( ptmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
| 1186 | DO jl = 1, jpl |
---|
| 1187 | pt_i (:,jl) = ztmp(:) |
---|
| 1188 | END DO |
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| 1189 | ztmp(:) = SUM( ptms (:,:) * pati(:,:) * phts(:,:), dim=2 ) * z1_vs(:) |
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| 1190 | DO jl = 1, jpl |
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| 1191 | pt_s (:,jl) = ztmp(:) |
---|
| 1192 | END DO |
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| 1193 | ztmp(:) = SUM( ptmsu(:,:) * pati(:,:) , dim=2 ) * z1_ai(:) |
---|
| 1194 | DO jl = 1, jpl |
---|
| 1195 | pt_su(:,jl) = ztmp(:) |
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| 1196 | END DO |
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| 1197 | ztmp(:) = SUM( psmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
| 1198 | DO jl = 1, jpl |
---|
| 1199 | ps_i (:,jl) = ztmp(:) |
---|
| 1200 | END DO |
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| 1201 | ! |
---|
| 1202 | DEALLOCATE( z1_ai, z1_vi, z1_vs, ztmp ) |
---|
| 1203 | ! |
---|
[10332] | 1204 | ENDIF |
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| 1205 | ! |
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[11223] | 1206 | END SUBROUTINE ice_var_itd_NcMc |
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[10332] | 1207 | |
---|
[8586] | 1208 | #else |
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| 1209 | !!---------------------------------------------------------------------- |
---|
[9570] | 1210 | !! Default option Dummy module NO SI3 sea-ice model |
---|
[8586] | 1211 | !!---------------------------------------------------------------------- |
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| 1212 | #endif |
---|
| 1213 | |
---|
| 1214 | !!====================================================================== |
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| 1215 | END MODULE icevar |
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