[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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[9433] | 34 | !! - et_s(jpi,jpj) total snow heat content |
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| 35 | !! - et_i(jpi,jpj) total ice thermal content |
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| 36 | !! - sm_i(jpi,jpj) mean ice salinity |
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| 37 | !! - tm_i(jpi,jpj) mean ice temperature |
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| 38 | !! - tm_s(jpi,jpj) mean snw temperature |
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[8586] | 39 | !!---------------------------------------------------------------------- |
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| 40 | !! ice_var_agg : integrate variables over layers and categories |
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| 41 | !! ice_var_glo2eqv : transform from VGLO to VEQV |
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| 42 | !! ice_var_eqv2glo : transform from VEQV to VGLO |
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| 43 | !! ice_var_salprof : salinity profile in the ice |
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| 44 | !! ice_var_salprof1d : salinity profile in the ice 1D |
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| 45 | !! ice_var_zapsmall : remove very small area and volume |
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[9943] | 46 | !! ice_var_zapneg : remove negative ice fields (to debug the advection scheme UM3-5) |
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[8813] | 47 | !! ice_var_itd : convert 1-cat to jpl-cat |
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| 48 | !! ice_var_itd2 : convert N-cat to jpl-cat |
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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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[8586] | 51 | !!---------------------------------------------------------------------- |
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| 52 | USE dom_oce ! ocean space and time domain |
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| 53 | USE phycst ! physical constants (ocean directory) |
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| 54 | USE sbc_oce , ONLY : sss_m |
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| 55 | USE ice ! sea-ice: variables |
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| 56 | USE ice1D ! sea-ice: thermodynamics variables |
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| 57 | ! |
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| 58 | USE in_out_manager ! I/O manager |
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| 59 | USE lib_mpp ! MPP library |
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| 60 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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| 61 | |
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| 62 | IMPLICIT NONE |
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| 63 | PRIVATE |
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| 64 | |
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| 65 | PUBLIC ice_var_agg |
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| 66 | PUBLIC ice_var_glo2eqv |
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| 67 | PUBLIC ice_var_eqv2glo |
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| 68 | PUBLIC ice_var_salprof |
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| 69 | PUBLIC ice_var_salprof1d |
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| 70 | PUBLIC ice_var_zapsmall |
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[9943] | 71 | PUBLIC ice_var_zapneg |
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[8586] | 72 | PUBLIC ice_var_itd |
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[8813] | 73 | PUBLIC ice_var_itd2 |
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[8586] | 74 | PUBLIC ice_var_bv |
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[8984] | 75 | PUBLIC ice_var_enthalpy |
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[8586] | 76 | |
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| 77 | !!---------------------------------------------------------------------- |
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[9598] | 78 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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[9950] | 79 | !! $Id$ |
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[10843] | 80 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[8586] | 81 | !!---------------------------------------------------------------------- |
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| 82 | CONTAINS |
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| 83 | |
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| 84 | SUBROUTINE ice_var_agg( kn ) |
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| 85 | !!------------------------------------------------------------------- |
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| 86 | !! *** ROUTINE ice_var_agg *** |
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| 87 | !! |
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| 88 | !! ** Purpose : aggregates ice-thickness-category variables to |
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| 89 | !! all-ice variables, i.e. it turns VGLO into VAGG |
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| 90 | !!------------------------------------------------------------------- |
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[11467] | 91 | USE scoce, ONLY : z1_at_i => scr2D4, z1_vt_i => scr2D2, z1_vt_s => scr2D3 |
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[8586] | 92 | INTEGER, INTENT( in ) :: kn ! =1 state variables only |
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| 93 | ! ! >1 state variables + others |
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| 94 | ! |
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| 95 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 96 | !!------------------------------------------------------------------- |
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| 97 | ! |
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| 98 | ! ! integrated values |
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| 99 | vt_i(:,:) = SUM( v_i(:,:,:) , dim=3 ) |
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| 100 | vt_s(:,:) = SUM( v_s(:,:,:) , dim=3 ) |
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| 101 | at_i(:,:) = SUM( a_i(:,:,:) , dim=3 ) |
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| 102 | et_s(:,:) = SUM( SUM( e_s(:,:,:,:), dim=4 ), dim=3 ) |
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| 103 | et_i(:,:) = SUM( SUM( e_i(:,:,:,:), dim=4 ), dim=3 ) |
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[8813] | 104 | ! |
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[8637] | 105 | at_ip(:,:) = SUM( a_ip(:,:,:), dim=3 ) ! melt ponds |
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| 106 | vt_ip(:,:) = SUM( v_ip(:,:,:), dim=3 ) |
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[8813] | 107 | ! |
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| 108 | ato_i(:,:) = 1._wp - at_i(:,:) ! open water fraction |
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[8586] | 109 | |
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[9725] | 110 | ! The following fields are calculated for diagnostics and outputs only |
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| 111 | ! ==> Do not use them for other purposes |
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[8586] | 112 | IF( kn > 1 ) THEN |
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| 113 | ! |
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| 114 | WHERE( at_i(:,:) > epsi20 ) ; z1_at_i(:,:) = 1._wp / at_i(:,:) |
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| 115 | ELSEWHERE ; z1_at_i(:,:) = 0._wp |
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| 116 | END WHERE |
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| 117 | WHERE( vt_i(:,:) > epsi20 ) ; z1_vt_i(:,:) = 1._wp / vt_i(:,:) |
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| 118 | ELSEWHERE ; z1_vt_i(:,:) = 0._wp |
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| 119 | END WHERE |
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[9433] | 120 | WHERE( vt_s(:,:) > epsi20 ) ; z1_vt_s(:,:) = 1._wp / vt_s(:,:) |
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| 121 | ELSEWHERE ; z1_vt_s(:,:) = 0._wp |
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| 122 | END WHERE |
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[8586] | 123 | ! |
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| 124 | ! ! mean ice/snow thickness |
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| 125 | hm_i(:,:) = vt_i(:,:) * z1_at_i(:,:) |
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| 126 | hm_s(:,:) = vt_s(:,:) * z1_at_i(:,:) |
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| 127 | ! |
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| 128 | ! ! mean temperature (K), salinity and age |
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| 129 | tm_su(:,:) = SUM( t_su(:,:,:) * a_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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| 130 | tm_si(:,:) = SUM( t_si(:,:,:) * a_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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| 131 | om_i (:,:) = SUM( oa_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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[9118] | 132 | sm_i (:,:) = SUM( sv_i(:,:,:) , dim=3 ) * z1_vt_i(:,:) |
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[8586] | 133 | ! |
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| 134 | tm_i(:,:) = 0._wp |
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[9433] | 135 | tm_s(:,:) = 0._wp |
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[8586] | 136 | DO jl = 1, jpl |
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| 137 | DO jk = 1, nlay_i |
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| 138 | tm_i(:,:) = tm_i(:,:) + r1_nlay_i * t_i (:,:,jk,jl) * v_i(:,:,jl) * z1_vt_i(:,:) |
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| 139 | END DO |
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[9433] | 140 | DO jk = 1, nlay_s |
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| 141 | tm_s(:,:) = tm_s(:,:) + r1_nlay_s * t_s (:,:,jk,jl) * v_s(:,:,jl) * z1_vt_s(:,:) |
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| 142 | END DO |
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[8586] | 143 | END DO |
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| 144 | ! |
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[8637] | 145 | ! ! put rt0 where there is no ice |
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| 146 | WHERE( at_i(:,:)<=epsi20 ) |
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| 147 | tm_su(:,:) = rt0 |
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| 148 | tm_si(:,:) = rt0 |
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| 149 | tm_i (:,:) = rt0 |
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[9433] | 150 | tm_s (:,:) = rt0 |
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[8637] | 151 | END WHERE |
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| 152 | |
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[8586] | 153 | ENDIF |
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| 154 | ! |
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| 155 | END SUBROUTINE ice_var_agg |
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| 156 | |
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| 157 | |
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| 158 | SUBROUTINE ice_var_glo2eqv |
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| 159 | !!------------------------------------------------------------------- |
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| 160 | !! *** ROUTINE ice_var_glo2eqv *** |
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| 161 | !! |
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| 162 | !! ** Purpose : computes equivalent variables as function of |
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| 163 | !! global variables, i.e. it turns VGLO into VEQV |
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| 164 | !!------------------------------------------------------------------- |
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[11467] | 165 | USE scice, ONLY : z1_a_i => scr3i, z1_v_i => scr4i |
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[8586] | 166 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 167 | REAL(wp) :: ze_i ! local scalars |
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| 168 | REAL(wp) :: ze_s, ztmelts, zbbb, zccc ! - - |
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| 169 | REAL(wp) :: zhmax, z1_zhmax ! - - |
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| 170 | REAL(wp) :: zlay_i, zlay_s ! - - |
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| 171 | !!------------------------------------------------------------------- |
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| 172 | |
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| 173 | !!gm Question 2: It is possible to define existence of sea-ice in a common way between |
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| 174 | !! ice area and ice volume ? |
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| 175 | !! the idea is to be able to define one for all at the begining of this routine |
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| 176 | !! a criteria for icy area (i.e. a_i > epsi20 and v_i > epsi20 ) |
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| 177 | |
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[8637] | 178 | !--------------------------------------------------------------- |
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| 179 | ! Ice thickness, snow thickness, ice salinity, ice age and ponds |
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| 180 | !--------------------------------------------------------------- |
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[8586] | 181 | ! !--- inverse of the ice area |
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| 182 | WHERE( a_i(:,:,:) > epsi20 ) ; z1_a_i(:,:,:) = 1._wp / a_i(:,:,:) |
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| 183 | ELSEWHERE ; z1_a_i(:,:,:) = 0._wp |
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| 184 | END WHERE |
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| 185 | ! |
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| 186 | WHERE( v_i(:,:,:) > epsi20 ) ; z1_v_i(:,:,:) = 1._wp / v_i(:,:,:) |
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| 187 | ELSEWHERE ; z1_v_i(:,:,:) = 0._wp |
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| 188 | END WHERE |
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[8637] | 189 | ! !--- ice thickness |
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| 190 | h_i(:,:,:) = v_i (:,:,:) * z1_a_i(:,:,:) |
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[8586] | 191 | |
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| 192 | zhmax = hi_max(jpl) |
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| 193 | z1_zhmax = 1._wp / hi_max(jpl) |
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[8637] | 194 | 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] | 195 | h_i (:,:,jpl) = zhmax |
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| 196 | a_i (:,:,jpl) = v_i(:,:,jpl) * z1_zhmax |
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[8637] | 197 | z1_a_i(:,:,jpl) = zhmax * z1_v_i(:,:,jpl) |
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[8586] | 198 | END WHERE |
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[8637] | 199 | ! !--- snow thickness |
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| 200 | h_s(:,:,:) = v_s (:,:,:) * z1_a_i(:,:,:) |
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| 201 | ! !--- ice age |
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| 202 | o_i(:,:,:) = oa_i(:,:,:) * z1_a_i(:,:,:) |
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| 203 | ! !--- pond fraction and thickness |
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| 204 | a_ip_frac(:,:,:) = a_ip(:,:,:) * z1_a_i(:,:,:) |
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| 205 | WHERE( a_ip_frac(:,:,:) > epsi20 ) ; h_ip(:,:,:) = v_ip(:,:,:) * z1_a_i(:,:,:) / a_ip_frac(:,:,:) |
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| 206 | ELSEWHERE ; h_ip(:,:,:) = 0._wp |
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| 207 | END WHERE |
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| 208 | ! |
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| 209 | ! !--- salinity (with a minimum value imposed everywhere) |
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| 210 | IF( nn_icesal == 2 ) THEN |
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[8586] | 211 | WHERE( v_i(:,:,:) > epsi20 ) ; s_i(:,:,:) = MAX( rn_simin , MIN( rn_simax, sv_i(:,:,:) * z1_v_i(:,:,:) ) ) |
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| 212 | ELSEWHERE ; s_i(:,:,:) = rn_simin |
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| 213 | END WHERE |
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| 214 | ENDIF |
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[8637] | 215 | CALL ice_var_salprof ! salinity profile |
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[8586] | 216 | |
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| 217 | !------------------- |
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| 218 | ! Ice temperature [K] (with a minimum value (rt0 - 100.)) |
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| 219 | !------------------- |
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| 220 | zlay_i = REAL( nlay_i , wp ) ! number of layers |
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| 221 | DO jl = 1, jpl |
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| 222 | DO jk = 1, nlay_i |
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| 223 | DO jj = 1, jpj |
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| 224 | DO ji = 1, jpi |
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| 225 | IF ( v_i(ji,jj,jl) > epsi20 ) THEN !--- icy area |
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| 226 | ! |
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| 227 | 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] | 228 | ztmelts = - sz_i(ji,jj,jk,jl) * rTmlt ! Ice layer melt temperature [C] |
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[8586] | 229 | ! Conversion q(S,T) -> T (second order equation) |
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[9935] | 230 | zbbb = ( rcp - rcpi ) * ztmelts + ze_i * r1_rhoi - rLfus |
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| 231 | zccc = SQRT( MAX( zbbb * zbbb - 4._wp * rcpi * rLfus * ztmelts , 0._wp) ) |
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| 232 | 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] | 233 | ! |
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| 234 | ELSE !--- no ice |
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| 235 | t_i(ji,jj,jk,jl) = rt0 |
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| 236 | ENDIF |
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| 237 | END DO |
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| 238 | END DO |
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| 239 | END DO |
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| 240 | END DO |
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| 241 | |
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| 242 | !-------------------- |
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| 243 | ! Snow temperature [K] (with a minimum value (rt0 - 100.)) |
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| 244 | !-------------------- |
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| 245 | zlay_s = REAL( nlay_s , wp ) |
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| 246 | DO jk = 1, nlay_s |
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| 247 | WHERE( v_s(:,:,:) > epsi20 ) !--- icy area |
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[9121] | 248 | t_s(:,:,jk,:) = rt0 + MAX( -100._wp , & |
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[9935] | 249 | & MIN( r1_rcpi * ( -r1_rhos * ( e_s(:,:,jk,:) / v_s(:,:,:) * zlay_s ) + rLfus ) , 0._wp ) ) |
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[8586] | 250 | ELSEWHERE !--- no ice |
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| 251 | t_s(:,:,jk,:) = rt0 |
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| 252 | END WHERE |
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| 253 | END DO |
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[8813] | 254 | ! |
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[8586] | 255 | ! integrated values |
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| 256 | vt_i (:,:) = SUM( v_i, dim=3 ) |
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| 257 | vt_s (:,:) = SUM( v_s, dim=3 ) |
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| 258 | at_i (:,:) = SUM( a_i, dim=3 ) |
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| 259 | ! |
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| 260 | END SUBROUTINE ice_var_glo2eqv |
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| 261 | |
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| 262 | |
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| 263 | SUBROUTINE ice_var_eqv2glo |
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| 264 | !!------------------------------------------------------------------- |
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| 265 | !! *** ROUTINE ice_var_eqv2glo *** |
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| 266 | !! |
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| 267 | !! ** Purpose : computes global variables as function of |
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| 268 | !! equivalent variables, i.e. it turns VEQV into VGLO |
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| 269 | !!------------------------------------------------------------------- |
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| 270 | ! |
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[8637] | 271 | v_i (:,:,:) = h_i (:,:,:) * a_i (:,:,:) |
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| 272 | v_s (:,:,:) = h_s (:,:,:) * a_i (:,:,:) |
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| 273 | sv_i(:,:,:) = s_i (:,:,:) * v_i (:,:,:) |
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| 274 | v_ip(:,:,:) = h_ip(:,:,:) * a_ip(:,:,:) |
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[8586] | 275 | ! |
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| 276 | END SUBROUTINE ice_var_eqv2glo |
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| 277 | |
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| 278 | |
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| 279 | SUBROUTINE ice_var_salprof |
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| 280 | !!------------------------------------------------------------------- |
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| 281 | !! *** ROUTINE ice_var_salprof *** |
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| 282 | !! |
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| 283 | !! ** Purpose : computes salinity profile in function of bulk salinity |
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| 284 | !! |
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| 285 | !! ** Method : If bulk salinity greater than zsi1, |
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| 286 | !! the profile is assumed to be constant (S_inf) |
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| 287 | !! If bulk salinity lower than zsi0, |
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| 288 | !! the profile is linear with 0 at the surface (S_zero) |
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| 289 | !! If it is between zsi0 and zsi1, it is a |
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| 290 | !! alpha-weighted linear combination of s_inf and s_zero |
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| 291 | !! |
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| 292 | !! ** References : Vancoppenolle et al., 2007 |
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| 293 | !!------------------------------------------------------------------- |
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[11467] | 294 | USE scice , ONLY : z_slope_s => scr5i, zalpha =>scr6i |
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[8586] | 295 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
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| 296 | REAL(wp) :: zsal, z1_dS |
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| 297 | REAL(wp) :: zargtemp , zs0, zs |
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| 298 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
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| 299 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
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| 300 | !!------------------------------------------------------------------- |
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| 301 | |
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| 302 | !!gm Question: Remove the option 3 ? How many years since it last use ? |
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| 303 | |
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| 304 | SELECT CASE ( nn_icesal ) |
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| 305 | ! |
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| 306 | ! !---------------------------------------! |
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| 307 | CASE( 1 ) ! constant salinity in time and space ! |
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| 308 | ! !---------------------------------------! |
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| 309 | sz_i(:,:,:,:) = rn_icesal |
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[9118] | 310 | s_i (:,:,:) = rn_icesal |
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[8586] | 311 | ! |
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| 312 | ! !---------------------------------------------! |
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| 313 | CASE( 2 ) ! time varying salinity with linear profile ! |
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| 314 | ! !---------------------------------------------! |
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| 315 | ! |
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| 316 | DO jl = 1, jpl |
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| 317 | DO jk = 1, nlay_i |
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| 318 | sz_i(:,:,jk,jl) = s_i(:,:,jl) |
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| 319 | END DO |
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| 320 | END DO |
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| 321 | ! ! Slope of the linear profile |
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| 322 | WHERE( h_i(:,:,:) > epsi20 ) ; z_slope_s(:,:,:) = 2._wp * s_i(:,:,:) / h_i(:,:,:) |
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[9118] | 323 | ELSEWHERE ; z_slope_s(:,:,:) = 0._wp |
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[8586] | 324 | END WHERE |
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| 325 | ! |
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| 326 | z1_dS = 1._wp / ( zsi1 - zsi0 ) |
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| 327 | DO jl = 1, jpl |
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| 328 | DO jj = 1, jpj |
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| 329 | DO ji = 1, jpi |
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| 330 | zalpha(ji,jj,jl) = MAX( 0._wp , MIN( ( zsi1 - s_i(ji,jj,jl) ) * z1_dS , 1._wp ) ) |
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| 331 | ! ! force a constant profile when SSS too low (Baltic Sea) |
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| 332 | IF( 2._wp * s_i(ji,jj,jl) >= sss_m(ji,jj) ) zalpha(ji,jj,jl) = 0._wp |
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| 333 | END DO |
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| 334 | END DO |
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| 335 | END DO |
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[8813] | 336 | ! |
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[8586] | 337 | ! Computation of the profile |
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| 338 | DO jl = 1, jpl |
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| 339 | DO jk = 1, nlay_i |
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| 340 | DO jj = 1, jpj |
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| 341 | DO ji = 1, jpi |
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| 342 | ! ! linear profile with 0 surface value |
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| 343 | 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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| 344 | zs = zalpha(ji,jj,jl) * zs0 + ( 1._wp - zalpha(ji,jj,jl) ) * s_i(ji,jj,jl) ! weighting the profile |
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| 345 | sz_i(ji,jj,jk,jl) = MIN( rn_simax, MAX( zs, rn_simin ) ) |
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| 346 | END DO |
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| 347 | END DO |
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| 348 | END DO |
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| 349 | END DO |
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| 350 | ! |
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| 351 | ! !-------------------------------------------! |
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| 352 | CASE( 3 ) ! constant salinity with a fix profile ! (Schwarzacher (1959) multiyear salinity profile |
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| 353 | ! !-------------------------------------------! (mean = 2.30) |
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| 354 | ! |
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| 355 | s_i(:,:,:) = 2.30_wp |
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| 356 | !!gm Remark: if we keep the case 3, then compute an store one for all time-step |
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| 357 | !! a array S_prof(1:nlay_i) containing the calculation and just do: |
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| 358 | ! DO jk = 1, nlay_i |
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| 359 | ! sz_i(:,:,jk,:) = S_prof(jk) |
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| 360 | ! END DO |
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| 361 | !!gm end |
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| 362 | ! |
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| 363 | DO jl = 1, jpl |
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| 364 | DO jk = 1, nlay_i |
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| 365 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
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| 366 | sz_i(:,:,jk,jl) = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) |
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| 367 | END DO |
---|
| 368 | END DO |
---|
| 369 | ! |
---|
| 370 | END SELECT |
---|
| 371 | ! |
---|
| 372 | END SUBROUTINE ice_var_salprof |
---|
| 373 | |
---|
[8813] | 374 | |
---|
[8586] | 375 | SUBROUTINE ice_var_salprof1d |
---|
| 376 | !!------------------------------------------------------------------- |
---|
| 377 | !! *** ROUTINE ice_var_salprof1d *** |
---|
| 378 | !! |
---|
| 379 | !! ** Purpose : 1d computation of the sea ice salinity profile |
---|
| 380 | !! Works with 1d vectors and is used by thermodynamic modules |
---|
| 381 | !!------------------------------------------------------------------- |
---|
[11467] | 382 | USE scice, ONLY : z_slope_s => scr1D1i, zalpha => scr1D2i |
---|
[8586] | 383 | INTEGER :: ji, jk ! dummy loop indices |
---|
| 384 | REAL(wp) :: zargtemp, zsal, z1_dS ! local scalars |
---|
| 385 | REAL(wp) :: zs, zs0 ! - - |
---|
| 386 | ! |
---|
| 387 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
---|
| 388 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
---|
| 389 | !!------------------------------------------------------------------- |
---|
| 390 | ! |
---|
| 391 | SELECT CASE ( nn_icesal ) |
---|
| 392 | ! |
---|
| 393 | ! !---------------------------------------! |
---|
| 394 | CASE( 1 ) ! constant salinity in time and space ! |
---|
| 395 | ! !---------------------------------------! |
---|
| 396 | sz_i_1d(1:npti,:) = rn_icesal |
---|
| 397 | ! |
---|
| 398 | ! !---------------------------------------------! |
---|
| 399 | CASE( 2 ) ! time varying salinity with linear profile ! |
---|
| 400 | ! !---------------------------------------------! |
---|
| 401 | ! |
---|
| 402 | ! ! Slope of the linear profile |
---|
| 403 | 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] | 404 | ELSEWHERE ; z_slope_s(1:npti) = 0._wp |
---|
[8586] | 405 | END WHERE |
---|
| 406 | |
---|
| 407 | z1_dS = 1._wp / ( zsi1 - zsi0 ) |
---|
| 408 | DO ji = 1, npti |
---|
| 409 | zalpha(ji) = MAX( 0._wp , MIN( ( zsi1 - s_i_1d(ji) ) * z1_dS , 1._wp ) ) |
---|
| 410 | ! ! force a constant profile when SSS too low (Baltic Sea) |
---|
| 411 | IF( 2._wp * s_i_1d(ji) >= sss_1d(ji) ) zalpha(ji) = 0._wp |
---|
| 412 | END DO |
---|
| 413 | ! |
---|
| 414 | ! Computation of the profile |
---|
| 415 | DO jk = 1, nlay_i |
---|
| 416 | DO ji = 1, npti |
---|
| 417 | ! ! linear profile with 0 surface value |
---|
| 418 | zs0 = z_slope_s(ji) * ( REAL(jk,wp) - 0.5_wp ) * h_i_1d(ji) * r1_nlay_i |
---|
| 419 | zs = zalpha(ji) * zs0 + ( 1._wp - zalpha(ji) ) * s_i_1d(ji) |
---|
| 420 | sz_i_1d(ji,jk) = MIN( rn_simax , MAX( zs , rn_simin ) ) |
---|
| 421 | END DO |
---|
| 422 | END DO |
---|
| 423 | ! |
---|
| 424 | ! !-------------------------------------------! |
---|
| 425 | CASE( 3 ) ! constant salinity with a fix profile ! (Schwarzacher (1959) multiyear salinity profile |
---|
| 426 | ! !-------------------------------------------! (mean = 2.30) |
---|
| 427 | ! |
---|
| 428 | s_i_1d(1:npti) = 2.30_wp |
---|
| 429 | ! |
---|
| 430 | !!gm cf remark in ice_var_salprof routine, CASE( 3 ) |
---|
| 431 | DO jk = 1, nlay_i |
---|
| 432 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
---|
| 433 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**( 0.407_wp / ( 0.573_wp + zargtemp ) ) ) ) |
---|
| 434 | DO ji = 1, npti |
---|
| 435 | sz_i_1d(ji,jk) = zsal |
---|
| 436 | END DO |
---|
| 437 | END DO |
---|
| 438 | ! |
---|
| 439 | END SELECT |
---|
| 440 | ! |
---|
| 441 | END SUBROUTINE ice_var_salprof1d |
---|
| 442 | |
---|
| 443 | |
---|
| 444 | SUBROUTINE ice_var_zapsmall |
---|
| 445 | !!------------------------------------------------------------------- |
---|
| 446 | !! *** ROUTINE ice_var_zapsmall *** |
---|
| 447 | !! |
---|
| 448 | !! ** Purpose : Remove too small sea ice areas and correct fluxes |
---|
| 449 | !!------------------------------------------------------------------- |
---|
[11467] | 450 | USE scoce, ONLY : zswitch => scr2D2 |
---|
[8586] | 451 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 452 | !!------------------------------------------------------------------- |
---|
| 453 | ! |
---|
| 454 | DO jl = 1, jpl !== loop over the categories ==! |
---|
| 455 | ! |
---|
[9448] | 456 | WHERE( a_i(:,:,jl) > epsi10 ) ; h_i(:,:,jl) = v_i(:,:,jl) / a_i(:,:,jl) |
---|
[8586] | 457 | ELSEWHERE ; h_i(:,:,jl) = 0._wp |
---|
| 458 | END WHERE |
---|
| 459 | ! |
---|
| 460 | WHERE( a_i(:,:,jl) < epsi10 .OR. v_i(:,:,jl) < epsi10 .OR. h_i(:,:,jl) < epsi10 ) ; zswitch(:,:) = 0._wp |
---|
| 461 | ELSEWHERE ; zswitch(:,:) = 1._wp |
---|
| 462 | END WHERE |
---|
[8813] | 463 | ! |
---|
[9943] | 464 | !----------------------------------------------------------------- |
---|
| 465 | ! Zap ice energy and use ocean heat to melt ice |
---|
| 466 | !----------------------------------------------------------------- |
---|
[8586] | 467 | DO jk = 1, nlay_i |
---|
| 468 | DO jj = 1 , jpj |
---|
| 469 | DO ji = 1 , jpi |
---|
| 470 | ! update exchanges with ocean |
---|
| 471 | 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 |
---|
| 472 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * zswitch(ji,jj) |
---|
| 473 | t_i(ji,jj,jk,jl) = t_i(ji,jj,jk,jl) * zswitch(ji,jj) + rt0 * ( 1._wp - zswitch(ji,jj) ) |
---|
| 474 | END DO |
---|
| 475 | END DO |
---|
| 476 | END DO |
---|
[8813] | 477 | ! |
---|
[9271] | 478 | DO jk = 1, nlay_s |
---|
| 479 | DO jj = 1 , jpj |
---|
| 480 | DO ji = 1 , jpi |
---|
| 481 | ! update exchanges with ocean |
---|
| 482 | 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 |
---|
| 483 | e_s(ji,jj,jk,jl) = e_s(ji,jj,jk,jl) * zswitch(ji,jj) |
---|
| 484 | t_s(ji,jj,jk,jl) = t_s(ji,jj,jk,jl) * zswitch(ji,jj) + rt0 * ( 1._wp - zswitch(ji,jj) ) |
---|
| 485 | END DO |
---|
| 486 | END DO |
---|
| 487 | END DO |
---|
| 488 | ! |
---|
[9943] | 489 | !----------------------------------------------------------------- |
---|
| 490 | ! zap ice and snow volume, add water and salt to ocean |
---|
| 491 | !----------------------------------------------------------------- |
---|
[8586] | 492 | DO jj = 1 , jpj |
---|
| 493 | DO ji = 1 , jpi |
---|
| 494 | ! update exchanges with ocean |
---|
[9935] | 495 | sfx_res(ji,jj) = sfx_res(ji,jj) + (1._wp - zswitch(ji,jj) ) * sv_i(ji,jj,jl) * rhoi * r1_rdtice |
---|
| 496 | wfx_res(ji,jj) = wfx_res(ji,jj) + (1._wp - zswitch(ji,jj) ) * v_i (ji,jj,jl) * rhoi * r1_rdtice |
---|
| 497 | wfx_res(ji,jj) = wfx_res(ji,jj) + (1._wp - zswitch(ji,jj) ) * v_s (ji,jj,jl) * rhos * r1_rdtice |
---|
[8813] | 498 | ! |
---|
[8586] | 499 | a_i (ji,jj,jl) = a_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 500 | v_i (ji,jj,jl) = v_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 501 | v_s (ji,jj,jl) = v_s (ji,jj,jl) * zswitch(ji,jj) |
---|
| 502 | t_su (ji,jj,jl) = t_su(ji,jj,jl) * zswitch(ji,jj) + t_bo(ji,jj) * ( 1._wp - zswitch(ji,jj) ) |
---|
| 503 | oa_i (ji,jj,jl) = oa_i(ji,jj,jl) * zswitch(ji,jj) |
---|
| 504 | sv_i (ji,jj,jl) = sv_i(ji,jj,jl) * zswitch(ji,jj) |
---|
[8813] | 505 | ! |
---|
[8586] | 506 | h_i (ji,jj,jl) = h_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 507 | h_s (ji,jj,jl) = h_s (ji,jj,jl) * zswitch(ji,jj) |
---|
[8813] | 508 | ! |
---|
[8637] | 509 | a_ip (ji,jj,jl) = a_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
| 510 | v_ip (ji,jj,jl) = v_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
[8813] | 511 | ! |
---|
[8586] | 512 | END DO |
---|
| 513 | END DO |
---|
[8813] | 514 | ! |
---|
[8586] | 515 | END DO |
---|
| 516 | |
---|
| 517 | ! to be sure that at_i is the sum of a_i(jl) |
---|
| 518 | at_i (:,:) = SUM( a_i(:,:,:), dim=3 ) |
---|
| 519 | vt_i (:,:) = SUM( v_i(:,:,:), dim=3 ) |
---|
| 520 | |
---|
| 521 | ! open water = 1 if at_i=0 |
---|
| 522 | WHERE( at_i(:,:) == 0._wp ) ato_i(:,:) = 1._wp |
---|
| 523 | ! |
---|
| 524 | END SUBROUTINE ice_var_zapsmall |
---|
| 525 | |
---|
| 526 | |
---|
[9943] | 527 | SUBROUTINE ice_var_zapneg( pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pe_s, pe_i ) |
---|
| 528 | !!------------------------------------------------------------------- |
---|
| 529 | !! *** ROUTINE ice_var_zapneg *** |
---|
| 530 | !! |
---|
| 531 | !! ** Purpose : Remove negative sea ice fields and correct fluxes |
---|
| 532 | !!------------------------------------------------------------------- |
---|
| 533 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 534 | ! |
---|
| 535 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area |
---|
| 536 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume |
---|
| 537 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume |
---|
| 538 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psv_i ! salt content |
---|
| 539 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content |
---|
| 540 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration |
---|
| 541 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
---|
| 542 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
---|
| 543 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
---|
| 544 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
---|
| 545 | !!------------------------------------------------------------------- |
---|
| 546 | ! |
---|
| 547 | WHERE( pato_i(:,:) < 0._wp ) pato_i(:,:) = 0._wp |
---|
| 548 | WHERE( poa_i (:,:,:) < 0._wp ) poa_i (:,:,:) = 0._wp |
---|
| 549 | WHERE( pa_i (:,:,:) < 0._wp ) pa_i (:,:,:) = 0._wp |
---|
| 550 | WHERE( pa_ip (:,:,:) < 0._wp ) pa_ip (:,:,:) = 0._wp |
---|
| 551 | WHERE( pv_ip (:,:,:) < 0._wp ) pv_ip (:,:,:) = 0._wp ! in theory one should change wfx_pnd(-) and wfx_sum(+) |
---|
| 552 | ! but it does not change conservation, so keep it this way is ok |
---|
| 553 | ! |
---|
| 554 | DO jl = 1, jpl !== loop over the categories ==! |
---|
| 555 | ! |
---|
| 556 | !---------------------------------------- |
---|
| 557 | ! zap ice energy and send it to the ocean |
---|
| 558 | !---------------------------------------- |
---|
| 559 | DO jk = 1, nlay_i |
---|
| 560 | DO jj = 1 , jpj |
---|
| 561 | DO ji = 1 , jpi |
---|
| 562 | IF( pe_i(ji,jj,jk,jl) < 0._wp ) THEN |
---|
| 563 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_i(ji,jj,jk,jl) * r1_rdtice ! W.m-2 <0 |
---|
| 564 | pe_i(ji,jj,jk,jl) = 0._wp |
---|
| 565 | ENDIF |
---|
| 566 | END DO |
---|
| 567 | END DO |
---|
| 568 | END DO |
---|
| 569 | ! |
---|
| 570 | DO jk = 1, nlay_s |
---|
| 571 | DO jj = 1 , jpj |
---|
| 572 | DO ji = 1 , jpi |
---|
| 573 | IF( pe_s(ji,jj,jk,jl) < 0._wp ) THEN |
---|
| 574 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_s(ji,jj,jk,jl) * r1_rdtice ! W.m-2 <0 |
---|
| 575 | pe_s(ji,jj,jk,jl) = 0._wp |
---|
| 576 | ENDIF |
---|
| 577 | END DO |
---|
| 578 | END DO |
---|
| 579 | END DO |
---|
| 580 | ! |
---|
| 581 | !----------------------------------------------------- |
---|
| 582 | ! zap ice and snow volume, add water and salt to ocean |
---|
| 583 | !----------------------------------------------------- |
---|
| 584 | DO jj = 1 , jpj |
---|
| 585 | DO ji = 1 , jpi |
---|
| 586 | IF( pv_i(ji,jj,jl) < 0._wp ) THEN |
---|
| 587 | wfx_res(ji,jj) = wfx_res(ji,jj) + pv_i (ji,jj,jl) * rhoi * r1_rdtice |
---|
| 588 | pv_i (ji,jj,jl) = 0._wp |
---|
| 589 | ENDIF |
---|
| 590 | IF( pv_s(ji,jj,jl) < 0._wp ) THEN |
---|
| 591 | wfx_res(ji,jj) = wfx_res(ji,jj) + pv_s (ji,jj,jl) * rhos * r1_rdtice |
---|
| 592 | pv_s (ji,jj,jl) = 0._wp |
---|
| 593 | ENDIF |
---|
| 594 | IF( psv_i(ji,jj,jl) < 0._wp ) THEN |
---|
| 595 | sfx_res(ji,jj) = sfx_res(ji,jj) + psv_i(ji,jj,jl) * rhoi * r1_rdtice |
---|
| 596 | psv_i (ji,jj,jl) = 0._wp |
---|
| 597 | ENDIF |
---|
| 598 | END DO |
---|
| 599 | END DO |
---|
| 600 | ! |
---|
| 601 | END DO |
---|
| 602 | ! |
---|
| 603 | END SUBROUTINE ice_var_zapneg |
---|
| 604 | |
---|
| 605 | |
---|
[8586] | 606 | SUBROUTINE ice_var_itd( zhti, zhts, zati, zh_i, zh_s, za_i ) |
---|
| 607 | !!------------------------------------------------------------------- |
---|
| 608 | !! *** ROUTINE ice_var_itd *** |
---|
| 609 | !! |
---|
| 610 | !! ** Purpose : converting 1-cat ice to multiple ice categories |
---|
| 611 | !! |
---|
| 612 | !! ice thickness distribution follows a gaussian law |
---|
| 613 | !! around the concentration of the most likely ice thickness |
---|
| 614 | !! (similar as iceistate.F90) |
---|
| 615 | !! |
---|
| 616 | !! ** Method: Iterative procedure |
---|
| 617 | !! |
---|
| 618 | !! 1) Try to fill the jpl ice categories (bounds hi_max(0:jpl)) with a gaussian |
---|
| 619 | !! |
---|
| 620 | !! 2) Check whether the distribution conserves area and volume, positivity and |
---|
| 621 | !! category boundaries |
---|
| 622 | !! |
---|
| 623 | !! 3) If not (input ice is too thin), the last category is empty and |
---|
| 624 | !! the number of categories is reduced (jpl-1) |
---|
| 625 | !! |
---|
| 626 | !! 4) Iterate until ok (SUM(itest(:) = 4) |
---|
| 627 | !! |
---|
| 628 | !! ** Arguments : zhti: 1-cat ice thickness |
---|
| 629 | !! zhts: 1-cat snow depth |
---|
| 630 | !! zati: 1-cat ice concentration |
---|
| 631 | !! |
---|
| 632 | !! ** Output : jpl-cat |
---|
| 633 | !! |
---|
| 634 | !! (Example of application: BDY forcings when input are cell averaged) |
---|
| 635 | !!------------------------------------------------------------------- |
---|
| 636 | INTEGER :: ji, jk, jl ! dummy loop indices |
---|
[8813] | 637 | INTEGER :: idim, i_fill, jl0 |
---|
[8586] | 638 | REAL(wp) :: zarg, zV, zconv, zdh, zdv |
---|
| 639 | REAL(wp), DIMENSION(:), INTENT(in) :: zhti, zhts, zati ! input ice/snow variables |
---|
| 640 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: zh_i, zh_s, za_i ! output ice/snow variables |
---|
| 641 | INTEGER , DIMENSION(4) :: itest |
---|
| 642 | !!------------------------------------------------------------------- |
---|
| 643 | ! |
---|
| 644 | ! ---------------------------------------- |
---|
| 645 | ! distribution over the jpl ice categories |
---|
| 646 | ! ---------------------------------------- |
---|
| 647 | ! a gaussian distribution for ice concentration is used |
---|
| 648 | ! then we check whether the distribution fullfills |
---|
| 649 | ! volume and area conservation, positivity and ice categories bounds |
---|
[8813] | 650 | idim = SIZE( zhti , 1 ) |
---|
| 651 | zh_i(1:idim,1:jpl) = 0._wp |
---|
| 652 | zh_s(1:idim,1:jpl) = 0._wp |
---|
| 653 | za_i(1:idim,1:jpl) = 0._wp |
---|
| 654 | ! |
---|
| 655 | DO ji = 1, idim |
---|
| 656 | ! |
---|
[8586] | 657 | IF( zhti(ji) > 0._wp ) THEN |
---|
[8813] | 658 | ! |
---|
[8586] | 659 | ! find which category (jl0) the input ice thickness falls into |
---|
| 660 | jl0 = jpl |
---|
| 661 | DO jl = 1, jpl |
---|
| 662 | IF ( ( zhti(ji) >= hi_max(jl-1) ) .AND. ( zhti(ji) < hi_max(jl) ) ) THEN |
---|
| 663 | jl0 = jl |
---|
| 664 | CYCLE |
---|
| 665 | ENDIF |
---|
| 666 | END DO |
---|
[8813] | 667 | ! |
---|
[8586] | 668 | itest(:) = 0 |
---|
| 669 | i_fill = jpl + 1 !------------------------------------ |
---|
| 670 | DO WHILE ( ( SUM( itest(:) ) /= 4 ) .AND. ( i_fill >= 2 ) ) ! iterative loop on i_fill categories |
---|
| 671 | ! !------------------------------------ |
---|
| 672 | i_fill = i_fill - 1 |
---|
| 673 | ! |
---|
| 674 | zh_i(ji,1:jpl) = 0._wp |
---|
[8813] | 675 | za_i(ji,1:jpl) = 0._wp |
---|
| 676 | itest(:) = 0 |
---|
| 677 | ! |
---|
[8586] | 678 | IF ( i_fill == 1 ) THEN !-- case very thin ice: fill only category 1 |
---|
| 679 | zh_i(ji,1) = zhti(ji) |
---|
| 680 | za_i (ji,1) = zati (ji) |
---|
| 681 | ELSE !-- case ice is thicker: fill categories >1 |
---|
| 682 | ! thickness |
---|
| 683 | DO jl = 1, i_fill - 1 |
---|
| 684 | zh_i(ji,jl) = hi_mean(jl) |
---|
| 685 | END DO |
---|
[8813] | 686 | ! |
---|
[8586] | 687 | ! concentration |
---|
| 688 | za_i(ji,jl0) = zati(ji) / SQRT(REAL(jpl)) |
---|
| 689 | DO jl = 1, i_fill - 1 |
---|
| 690 | IF ( jl /= jl0 ) THEN |
---|
| 691 | zarg = ( zh_i(ji,jl) - zhti(ji) ) / ( zhti(ji) * 0.5_wp ) |
---|
| 692 | za_i(ji,jl) = za_i (ji,jl0) * EXP(-zarg**2) |
---|
| 693 | ENDIF |
---|
| 694 | END DO |
---|
[8813] | 695 | ! |
---|
[8586] | 696 | ! last category |
---|
| 697 | za_i(ji,i_fill) = zati(ji) - SUM( za_i(ji,1:i_fill-1) ) |
---|
| 698 | zV = SUM( za_i(ji,1:i_fill-1) * zh_i(ji,1:i_fill-1) ) |
---|
| 699 | zh_i(ji,i_fill) = ( zhti(ji) * zati(ji) - zV ) / MAX( za_i(ji,i_fill), epsi10 ) |
---|
[8813] | 700 | ! |
---|
[8885] | 701 | ! correction if concentration of upper cat is greater than lower cat |
---|
| 702 | ! (it should be a gaussian around jl0 but sometimes it is not) |
---|
[8586] | 703 | IF ( jl0 /= jpl ) THEN |
---|
| 704 | DO jl = jpl, jl0+1, -1 |
---|
| 705 | IF ( za_i(ji,jl) > za_i(ji,jl-1) ) THEN |
---|
| 706 | zdv = zh_i(ji,jl) * za_i(ji,jl) |
---|
| 707 | zh_i(ji,jl ) = 0._wp |
---|
| 708 | za_i (ji,jl ) = 0._wp |
---|
| 709 | za_i (ji,1:jl-1) = za_i(ji,1:jl-1) + zdv / MAX( REAL(jl-1) * zhti(ji), epsi10 ) |
---|
| 710 | END IF |
---|
[8813] | 711 | END DO |
---|
[8586] | 712 | ENDIF |
---|
[8813] | 713 | ! |
---|
[8586] | 714 | ENDIF |
---|
[8813] | 715 | ! |
---|
[8586] | 716 | ! Compatibility tests |
---|
| 717 | zconv = ABS( zati(ji) - SUM( za_i(ji,1:jpl) ) ) |
---|
[8813] | 718 | IF ( zconv < epsi06 ) itest(1) = 1 ! Test 1: area conservation |
---|
| 719 | ! |
---|
[8586] | 720 | zconv = ABS( zhti(ji)*zati(ji) - SUM( za_i(ji,1:jpl)*zh_i(ji,1:jpl) ) ) |
---|
[8813] | 721 | IF ( zconv < epsi06 ) itest(2) = 1 ! Test 2: volume conservation |
---|
| 722 | ! |
---|
| 723 | IF ( zh_i(ji,i_fill) >= hi_max(i_fill-1) ) itest(3) = 1 ! Test 3: thickness of the last category is in-bounds ? |
---|
| 724 | ! |
---|
[8586] | 725 | itest(4) = 1 |
---|
| 726 | DO jl = 1, i_fill |
---|
| 727 | IF ( za_i(ji,jl) < 0._wp ) itest(4) = 0 ! Test 4: positivity of ice concentrations |
---|
| 728 | END DO |
---|
| 729 | ! !---------------------------- |
---|
| 730 | END DO ! end iteration on categories |
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[8813] | 731 | ! !---------------------------- |
---|
[8586] | 732 | ENDIF |
---|
| 733 | END DO |
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| 734 | |
---|
| 735 | ! Add Snow in each category where za_i is not 0 |
---|
| 736 | DO jl = 1, jpl |
---|
[8813] | 737 | DO ji = 1, idim |
---|
[8586] | 738 | IF( za_i(ji,jl) > 0._wp ) THEN |
---|
| 739 | zh_s(ji,jl) = zh_i(ji,jl) * ( zhts(ji) / zhti(ji) ) |
---|
| 740 | ! In case snow load is in excess that would lead to transformation from snow to ice |
---|
| 741 | ! Then, transfer the snow excess into the ice (different from icethd_dh) |
---|
[9935] | 742 | zdh = MAX( 0._wp, ( rhos * zh_s(ji,jl) + ( rhoi - rau0 ) * zh_i(ji,jl) ) * r1_rau0 ) |
---|
[8586] | 743 | ! recompute h_i, h_s avoiding out of bounds values |
---|
| 744 | zh_i(ji,jl) = MIN( hi_max(jl), zh_i(ji,jl) + zdh ) |
---|
[9935] | 745 | zh_s(ji,jl) = MAX( 0._wp, zh_s(ji,jl) - zdh * rhoi * r1_rhos ) |
---|
[8586] | 746 | ENDIF |
---|
| 747 | END DO |
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| 748 | END DO |
---|
| 749 | ! |
---|
[8813] | 750 | END SUBROUTINE ice_var_itd |
---|
[8586] | 751 | |
---|
| 752 | |
---|
[8813] | 753 | SUBROUTINE ice_var_itd2( zhti, zhts, zati, zh_i, zh_s, za_i ) |
---|
[8586] | 754 | !!------------------------------------------------------------------- |
---|
[8813] | 755 | !! *** ROUTINE ice_var_itd2 *** |
---|
| 756 | !! |
---|
| 757 | !! ** Purpose : converting N-cat ice to jpl ice categories |
---|
| 758 | !! |
---|
| 759 | !! ice thickness distribution follows a gaussian law |
---|
| 760 | !! around the concentration of the most likely ice thickness |
---|
| 761 | !! (similar as iceistate.F90) |
---|
| 762 | !! |
---|
| 763 | !! ** Method: Iterative procedure |
---|
| 764 | !! |
---|
| 765 | !! 1) Fill ice cat that correspond to input thicknesses |
---|
| 766 | !! Find the lowest(jlmin) and highest(jlmax) cat that are filled |
---|
| 767 | !! |
---|
| 768 | !! 2) Expand the filling to the cat jlmin-1 and jlmax+1 |
---|
| 769 | !! by removing 25% ice area from jlmin and jlmax (resp.) |
---|
| 770 | !! |
---|
| 771 | !! 3) Expand the filling to the empty cat between jlmin and jlmax |
---|
| 772 | !! by a) removing 25% ice area from the lower cat (ascendant loop jlmin=>jlmax) |
---|
| 773 | !! b) removing 25% ice area from the higher cat (descendant loop jlmax=>jlmin) |
---|
| 774 | !! |
---|
| 775 | !! ** Arguments : zhti: N-cat ice thickness |
---|
| 776 | !! zhts: N-cat snow depth |
---|
| 777 | !! zati: N-cat ice concentration |
---|
| 778 | !! |
---|
| 779 | !! ** Output : jpl-cat |
---|
| 780 | !! |
---|
| 781 | !! (Example of application: BDY forcings when inputs have N-cat /= jpl) |
---|
| 782 | !!------------------------------------------------------------------- |
---|
| 783 | INTEGER :: ji, jl, jl1, jl2 ! dummy loop indices |
---|
| 784 | INTEGER :: idim, icat |
---|
| 785 | INTEGER, PARAMETER :: ztrans = 0.25_wp |
---|
| 786 | REAL(wp), DIMENSION(:,:), INTENT(in) :: zhti, zhts, zati ! input ice/snow variables |
---|
| 787 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: zh_i, zh_s, za_i ! output ice/snow variables |
---|
| 788 | INTEGER , DIMENSION(:,:), ALLOCATABLE :: jlfil, jlfil2 |
---|
| 789 | INTEGER , DIMENSION(:) , ALLOCATABLE :: jlmax, jlmin |
---|
| 790 | !!------------------------------------------------------------------- |
---|
| 791 | ! |
---|
| 792 | idim = SIZE( zhti, 1 ) |
---|
| 793 | icat = SIZE( zhti, 2 ) |
---|
| 794 | ! |
---|
| 795 | ALLOCATE( jlfil(idim,jpl), jlfil2(idim,jpl) ) ! allocate arrays |
---|
| 796 | ALLOCATE( jlmin(idim), jlmax(idim) ) |
---|
| 797 | |
---|
| 798 | ! --- initialize output fields to 0 --- ! |
---|
| 799 | zh_i(1:idim,1:jpl) = 0._wp |
---|
| 800 | zh_s(1:idim,1:jpl) = 0._wp |
---|
| 801 | za_i(1:idim,1:jpl) = 0._wp |
---|
| 802 | ! |
---|
| 803 | ! --- fill the categories --- ! |
---|
| 804 | ! find where cat-input = cat-output and fill cat-output fields |
---|
| 805 | jlmax(:) = 0 |
---|
| 806 | jlmin(:) = 999 |
---|
| 807 | jlfil(:,:) = 0 |
---|
| 808 | DO jl1 = 1, jpl |
---|
| 809 | DO jl2 = 1, icat |
---|
| 810 | DO ji = 1, idim |
---|
| 811 | IF( hi_max(jl1-1) <= zhti(ji,jl2) .AND. hi_max(jl1) > zhti(ji,jl2) ) THEN |
---|
| 812 | ! fill the right category |
---|
| 813 | zh_i(ji,jl1) = zhti(ji,jl2) |
---|
| 814 | zh_s(ji,jl1) = zhts(ji,jl2) |
---|
| 815 | za_i(ji,jl1) = zati(ji,jl2) |
---|
| 816 | ! record categories that are filled |
---|
| 817 | jlmax(ji) = MAX( jlmax(ji), jl1 ) |
---|
| 818 | jlmin(ji) = MIN( jlmin(ji), jl1 ) |
---|
| 819 | jlfil(ji,jl1) = jl1 |
---|
| 820 | ENDIF |
---|
| 821 | END DO |
---|
| 822 | END DO |
---|
| 823 | END DO |
---|
| 824 | ! |
---|
| 825 | ! --- fill the gaps between categories --- ! |
---|
| 826 | ! transfer from categories filled at the previous step to the empty ones in between |
---|
| 827 | DO ji = 1, idim |
---|
| 828 | jl1 = jlmin(ji) |
---|
| 829 | jl2 = jlmax(ji) |
---|
| 830 | IF( jl1 > 1 ) THEN |
---|
| 831 | ! fill the lower cat (jl1-1) |
---|
| 832 | za_i(ji,jl1-1) = ztrans * za_i(ji,jl1) |
---|
| 833 | zh_i(ji,jl1-1) = hi_mean(jl1-1) |
---|
| 834 | ! remove from cat jl1 |
---|
| 835 | za_i(ji,jl1 ) = ( 1._wp - ztrans ) * za_i(ji,jl1) |
---|
| 836 | ENDIF |
---|
| 837 | IF( jl2 < jpl ) THEN |
---|
| 838 | ! fill the upper cat (jl2+1) |
---|
| 839 | za_i(ji,jl2+1) = ztrans * za_i(ji,jl2) |
---|
| 840 | zh_i(ji,jl2+1) = hi_mean(jl2+1) |
---|
| 841 | ! remove from cat jl2 |
---|
| 842 | za_i(ji,jl2 ) = ( 1._wp - ztrans ) * za_i(ji,jl2) |
---|
| 843 | ENDIF |
---|
| 844 | END DO |
---|
| 845 | ! |
---|
| 846 | jlfil2(:,:) = jlfil(:,:) |
---|
| 847 | ! fill categories from low to high |
---|
| 848 | DO jl = 2, jpl-1 |
---|
| 849 | DO ji = 1, idim |
---|
| 850 | IF( jlfil(ji,jl-1) /= 0 .AND. jlfil(ji,jl) == 0 ) THEN |
---|
| 851 | ! fill high |
---|
| 852 | za_i(ji,jl) = ztrans * za_i(ji,jl-1) |
---|
| 853 | zh_i(ji,jl) = hi_mean(jl) |
---|
| 854 | jlfil(ji,jl) = jl |
---|
| 855 | ! remove low |
---|
| 856 | za_i(ji,jl-1) = ( 1._wp - ztrans ) * za_i(ji,jl-1) |
---|
| 857 | ENDIF |
---|
| 858 | END DO |
---|
| 859 | END DO |
---|
| 860 | ! |
---|
| 861 | ! fill categories from high to low |
---|
| 862 | DO jl = jpl-1, 2, -1 |
---|
| 863 | DO ji = 1, idim |
---|
| 864 | IF( jlfil2(ji,jl+1) /= 0 .AND. jlfil2(ji,jl) == 0 ) THEN |
---|
| 865 | ! fill low |
---|
| 866 | za_i(ji,jl) = za_i(ji,jl) + ztrans * za_i(ji,jl+1) |
---|
| 867 | zh_i(ji,jl) = hi_mean(jl) |
---|
| 868 | jlfil2(ji,jl) = jl |
---|
| 869 | ! remove high |
---|
| 870 | za_i(ji,jl+1) = ( 1._wp - ztrans ) * za_i(ji,jl+1) |
---|
| 871 | ENDIF |
---|
| 872 | END DO |
---|
| 873 | END DO |
---|
| 874 | ! |
---|
| 875 | DEALLOCATE( jlfil, jlfil2 ) ! deallocate arrays |
---|
| 876 | DEALLOCATE( jlmin, jlmax ) |
---|
| 877 | ! |
---|
| 878 | END SUBROUTINE ice_var_itd2 |
---|
| 879 | |
---|
| 880 | |
---|
| 881 | SUBROUTINE ice_var_bv |
---|
| 882 | !!------------------------------------------------------------------- |
---|
[8586] | 883 | !! *** ROUTINE ice_var_bv *** |
---|
| 884 | !! |
---|
| 885 | !! ** Purpose : computes mean brine volume (%) in sea ice |
---|
| 886 | !! |
---|
| 887 | !! ** Method : e = - 0.054 * S (ppt) / T (C) |
---|
| 888 | !! |
---|
| 889 | !! References : Vancoppenolle et al., JGR, 2007 |
---|
| 890 | !!------------------------------------------------------------------- |
---|
| 891 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
| 892 | !!------------------------------------------------------------------- |
---|
| 893 | ! |
---|
| 894 | !!gm I prefere to use WHERE / ELSEWHERE to set it to zero only where needed <<<=== to be done |
---|
| 895 | !! instead of setting everything to zero as just below |
---|
| 896 | bv_i (:,:,:) = 0._wp |
---|
| 897 | DO jl = 1, jpl |
---|
| 898 | DO jk = 1, nlay_i |
---|
| 899 | WHERE( t_i(:,:,jk,jl) < rt0 - epsi10 ) |
---|
[9935] | 900 | bv_i(:,:,jl) = bv_i(:,:,jl) - rTmlt * sz_i(:,:,jk,jl) * r1_nlay_i / ( t_i(:,:,jk,jl) - rt0 ) |
---|
[8586] | 901 | END WHERE |
---|
| 902 | END DO |
---|
| 903 | END DO |
---|
| 904 | WHERE( vt_i(:,:) > epsi20 ) ; bvm_i(:,:) = SUM( bv_i(:,:,:) * v_i(:,:,:) , dim=3 ) / vt_i(:,:) |
---|
| 905 | ELSEWHERE ; bvm_i(:,:) = 0._wp |
---|
| 906 | END WHERE |
---|
| 907 | ! |
---|
| 908 | END SUBROUTINE ice_var_bv |
---|
| 909 | |
---|
| 910 | |
---|
[8984] | 911 | SUBROUTINE ice_var_enthalpy |
---|
| 912 | !!------------------------------------------------------------------- |
---|
| 913 | !! *** ROUTINE ice_var_enthalpy *** |
---|
| 914 | !! |
---|
| 915 | !! ** Purpose : Computes sea ice energy of melting q_i (J.m-3) from temperature |
---|
| 916 | !! |
---|
| 917 | !! ** Method : Formula (Bitz and Lipscomb, 1999) |
---|
| 918 | !!------------------------------------------------------------------- |
---|
| 919 | INTEGER :: ji, jk ! dummy loop indices |
---|
| 920 | REAL(wp) :: ztmelts ! local scalar |
---|
| 921 | !!------------------------------------------------------------------- |
---|
| 922 | ! |
---|
| 923 | DO jk = 1, nlay_i ! Sea ice energy of melting |
---|
| 924 | DO ji = 1, npti |
---|
[9935] | 925 | ztmelts = - rTmlt * sz_i_1d(ji,jk) |
---|
[9888] | 926 | 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 |
---|
[8984] | 927 | ! (sometimes zdf scheme produces abnormally high temperatures) |
---|
[9935] | 928 | e_i_1d(ji,jk) = rhoi * ( rcpi * ( ztmelts - ( t_i_1d(ji,jk) - rt0 ) ) & |
---|
| 929 | & + rLfus * ( 1._wp - ztmelts / ( t_i_1d(ji,jk) - rt0 ) ) & |
---|
| 930 | & - rcp * ztmelts ) |
---|
[8984] | 931 | END DO |
---|
| 932 | END DO |
---|
| 933 | DO jk = 1, nlay_s ! Snow energy of melting |
---|
| 934 | DO ji = 1, npti |
---|
[9935] | 935 | e_s_1d(ji,jk) = rhos * ( rcpi * ( rt0 - t_s_1d(ji,jk) ) + rLfus ) |
---|
[8984] | 936 | END DO |
---|
| 937 | END DO |
---|
| 938 | ! |
---|
| 939 | END SUBROUTINE ice_var_enthalpy |
---|
| 940 | |
---|
[8586] | 941 | #else |
---|
| 942 | !!---------------------------------------------------------------------- |
---|
[9570] | 943 | !! Default option Dummy module NO SI3 sea-ice model |
---|
[8586] | 944 | !!---------------------------------------------------------------------- |
---|
| 945 | #endif |
---|
| 946 | |
---|
| 947 | !!====================================================================== |
---|
| 948 | END MODULE icevar |
---|