[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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[11536] | 34 | !! - st_i(jpi,jpj) |
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[9433] | 35 | !! - et_s(jpi,jpj) total snow heat content |
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[14072] | 36 | !! - et_i(jpi,jpj) total ice thermal content |
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[9433] | 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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[11536] | 52 | !! ice_var_itd : convert N-cat to M-cat |
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[13472] | 53 | !! ice_var_snwfra : fraction of ice covered by snow |
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| 54 | !! ice_var_snwblow : distribute snow fall between ice and ocean |
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[8586] | 55 | !!---------------------------------------------------------------------- |
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| 56 | USE dom_oce ! ocean space and time domain |
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[14072] | 57 | USE phycst ! physical constants (ocean directory) |
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[10332] | 58 | USE sbc_oce , ONLY : sss_m, ln_ice_embd, nn_fsbc |
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[8586] | 59 | USE ice ! sea-ice: variables |
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| 60 | USE ice1D ! sea-ice: thermodynamics variables |
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| 61 | ! |
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| 62 | USE in_out_manager ! I/O manager |
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| 63 | USE lib_mpp ! MPP library |
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| 64 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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| 65 | |
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| 66 | IMPLICIT NONE |
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| 67 | PRIVATE |
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| 68 | |
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[14072] | 69 | PUBLIC ice_var_agg |
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| 70 | PUBLIC ice_var_glo2eqv |
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| 71 | PUBLIC ice_var_eqv2glo |
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| 72 | PUBLIC ice_var_salprof |
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| 73 | PUBLIC ice_var_salprof1d |
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[8586] | 74 | PUBLIC ice_var_zapsmall |
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[9943] | 75 | PUBLIC ice_var_zapneg |
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[10994] | 76 | PUBLIC ice_var_roundoff |
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[14072] | 77 | PUBLIC ice_var_bv |
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| 78 | PUBLIC ice_var_enthalpy |
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[10332] | 79 | PUBLIC ice_var_sshdyn |
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[11229] | 80 | PUBLIC ice_var_itd |
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[13472] | 81 | PUBLIC ice_var_snwfra |
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| 82 | PUBLIC ice_var_snwblow |
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[8586] | 83 | |
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[11229] | 84 | INTERFACE ice_var_itd |
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| 85 | MODULE PROCEDURE ice_var_itd_1c1c, ice_var_itd_Nc1c, ice_var_itd_1cMc, ice_var_itd_NcMc |
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| 86 | END INTERFACE |
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| 87 | |
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[12377] | 88 | !! * Substitutions |
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| 89 | # include "do_loop_substitute.h90" |
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[13472] | 90 | |
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| 91 | INTERFACE ice_var_snwfra |
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| 92 | MODULE PROCEDURE ice_var_snwfra_1d, ice_var_snwfra_2d, ice_var_snwfra_3d |
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| 93 | END INTERFACE |
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| 94 | |
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| 95 | INTERFACE ice_var_snwblow |
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| 96 | MODULE PROCEDURE ice_var_snwblow_1d, ice_var_snwblow_2d |
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| 97 | END INTERFACE |
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| 98 | |
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[8586] | 99 | !!---------------------------------------------------------------------- |
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[9598] | 100 | !! NEMO/ICE 4.0 , NEMO Consortium (2018) |
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[10069] | 101 | !! $Id$ |
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[10068] | 102 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[8586] | 103 | !!---------------------------------------------------------------------- |
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| 104 | CONTAINS |
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| 105 | |
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| 106 | SUBROUTINE ice_var_agg( kn ) |
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| 107 | !!------------------------------------------------------------------- |
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| 108 | !! *** ROUTINE ice_var_agg *** |
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| 109 | !! |
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[14072] | 110 | !! ** Purpose : aggregates ice-thickness-category variables to |
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[8586] | 111 | !! all-ice variables, i.e. it turns VGLO into VAGG |
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| 112 | !!------------------------------------------------------------------- |
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| 113 | INTEGER, INTENT( in ) :: kn ! =1 state variables only |
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| 114 | ! ! >1 state variables + others |
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| 115 | ! |
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| 116 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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[9433] | 117 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: z1_at_i, z1_vt_i, z1_vt_s |
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[8586] | 118 | !!------------------------------------------------------------------- |
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| 119 | ! |
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| 120 | ! ! integrated values |
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[11536] | 121 | vt_i(:,:) = SUM( v_i (:,:,:) , dim=3 ) |
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| 122 | vt_s(:,:) = SUM( v_s (:,:,:) , dim=3 ) |
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| 123 | st_i(:,:) = SUM( sv_i(:,:,:) , dim=3 ) |
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| 124 | at_i(:,:) = SUM( a_i (:,:,:) , dim=3 ) |
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| 125 | et_s(:,:) = SUM( SUM( e_s (:,:,:,:), dim=4 ), dim=3 ) |
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| 126 | et_i(:,:) = SUM( SUM( e_i (:,:,:,:), dim=4 ), dim=3 ) |
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[8813] | 127 | ! |
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[8637] | 128 | at_ip(:,:) = SUM( a_ip(:,:,:), dim=3 ) ! melt ponds |
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| 129 | vt_ip(:,:) = SUM( v_ip(:,:,:), dim=3 ) |
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[13472] | 130 | vt_il(:,:) = SUM( v_il(:,:,:), dim=3 ) |
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[8813] | 131 | ! |
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[14072] | 132 | ato_i(:,:) = 1._wp - at_i(:,:) ! open water fraction |
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[12377] | 133 | ! |
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| 134 | !!GS: tm_su always needed by ABL over sea-ice |
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| 135 | ALLOCATE( z1_at_i(jpi,jpj) ) |
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| 136 | WHERE( at_i(:,:) > epsi20 ) ; z1_at_i(:,:) = 1._wp / at_i(:,:) |
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| 137 | ELSEWHERE ; z1_at_i(:,:) = 0._wp |
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| 138 | END WHERE |
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| 139 | tm_su(:,:) = SUM( t_su(:,:,:) * a_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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| 140 | WHERE( at_i(:,:)<=epsi20 ) tm_su(:,:) = rt0 |
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| 141 | ! |
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[9725] | 142 | ! The following fields are calculated for diagnostics and outputs only |
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| 143 | ! ==> Do not use them for other purposes |
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[8586] | 144 | IF( kn > 1 ) THEN |
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| 145 | ! |
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[12377] | 146 | ALLOCATE( z1_vt_i(jpi,jpj) , z1_vt_s(jpi,jpj) ) |
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[8586] | 147 | WHERE( vt_i(:,:) > epsi20 ) ; z1_vt_i(:,:) = 1._wp / vt_i(:,:) |
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| 148 | ELSEWHERE ; z1_vt_i(:,:) = 0._wp |
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| 149 | END WHERE |
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[9433] | 150 | WHERE( vt_s(:,:) > epsi20 ) ; z1_vt_s(:,:) = 1._wp / vt_s(:,:) |
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| 151 | ELSEWHERE ; z1_vt_s(:,:) = 0._wp |
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| 152 | END WHERE |
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[8586] | 153 | ! |
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| 154 | ! ! mean ice/snow thickness |
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| 155 | hm_i(:,:) = vt_i(:,:) * z1_at_i(:,:) |
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| 156 | hm_s(:,:) = vt_s(:,:) * z1_at_i(:,:) |
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[14072] | 157 | ! |
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[8586] | 158 | ! ! mean temperature (K), salinity and age |
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| 159 | tm_si(:,:) = SUM( t_si(:,:,:) * a_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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| 160 | om_i (:,:) = SUM( oa_i(:,:,:) , dim=3 ) * z1_at_i(:,:) |
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[11536] | 161 | sm_i (:,:) = st_i(:,:) * z1_vt_i(:,:) |
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[8586] | 162 | ! |
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| 163 | tm_i(:,:) = 0._wp |
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[9433] | 164 | tm_s(:,:) = 0._wp |
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[8586] | 165 | DO jl = 1, jpl |
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| 166 | DO jk = 1, nlay_i |
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| 167 | tm_i(:,:) = tm_i(:,:) + r1_nlay_i * t_i (:,:,jk,jl) * v_i(:,:,jl) * z1_vt_i(:,:) |
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| 168 | END DO |
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[9433] | 169 | DO jk = 1, nlay_s |
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| 170 | tm_s(:,:) = tm_s(:,:) + r1_nlay_s * t_s (:,:,jk,jl) * v_s(:,:,jl) * z1_vt_s(:,:) |
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| 171 | END DO |
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[8586] | 172 | END DO |
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| 173 | ! |
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[8637] | 174 | ! ! put rt0 where there is no ice |
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| 175 | WHERE( at_i(:,:)<=epsi20 ) |
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| 176 | tm_si(:,:) = rt0 |
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| 177 | tm_i (:,:) = rt0 |
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[9433] | 178 | tm_s (:,:) = rt0 |
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[8637] | 179 | END WHERE |
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[11536] | 180 | ! |
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| 181 | ! ! mean melt pond depth |
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[13472] | 182 | WHERE( at_ip(:,:) > epsi20 ) ; hm_ip(:,:) = vt_ip(:,:) / at_ip(:,:) ; hm_il(:,:) = vt_il(:,:) / at_ip(:,:) |
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| 183 | ELSEWHERE ; hm_ip(:,:) = 0._wp ; hm_il(:,:) = 0._wp |
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[14072] | 184 | END WHERE |
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[11536] | 185 | ! |
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[12377] | 186 | DEALLOCATE( z1_vt_i , z1_vt_s ) |
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[11536] | 187 | ! |
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[8586] | 188 | ENDIF |
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| 189 | ! |
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[12377] | 190 | DEALLOCATE( z1_at_i ) |
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| 191 | ! |
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[8586] | 192 | END SUBROUTINE ice_var_agg |
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| 193 | |
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| 194 | |
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| 195 | SUBROUTINE ice_var_glo2eqv |
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| 196 | !!------------------------------------------------------------------- |
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| 197 | !! *** ROUTINE ice_var_glo2eqv *** |
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| 198 | !! |
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[14072] | 199 | !! ** Purpose : computes equivalent variables as function of |
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[8586] | 200 | !! global variables, i.e. it turns VGLO into VEQV |
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| 201 | !!------------------------------------------------------------------- |
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| 202 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 203 | REAL(wp) :: ze_i ! local scalars |
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| 204 | REAL(wp) :: ze_s, ztmelts, zbbb, zccc ! - - |
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| 205 | REAL(wp) :: zhmax, z1_zhmax ! - - |
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| 206 | REAL(wp) :: zlay_i, zlay_s ! - - |
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[13472] | 207 | REAL(wp), PARAMETER :: zhl_max = 0.015_wp ! pond lid thickness above which the ponds disappear from the albedo calculation |
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| 208 | REAL(wp), PARAMETER :: zhl_min = 0.005_wp ! pond lid thickness below which the full pond area is used in the albedo calculation |
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| 209 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: z1_a_i, z1_v_i, z1_a_ip, za_s_fra |
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[8586] | 210 | !!------------------------------------------------------------------- |
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| 211 | |
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[14072] | 212 | !!gm Question 2: It is possible to define existence of sea-ice in a common way between |
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[8586] | 213 | !! ice area and ice volume ? |
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| 214 | !! the idea is to be able to define one for all at the begining of this routine |
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| 215 | !! a criteria for icy area (i.e. a_i > epsi20 and v_i > epsi20 ) |
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| 216 | |
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[8637] | 217 | !--------------------------------------------------------------- |
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| 218 | ! Ice thickness, snow thickness, ice salinity, ice age and ponds |
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| 219 | !--------------------------------------------------------------- |
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[8586] | 220 | ! !--- inverse of the ice area |
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| 221 | WHERE( a_i(:,:,:) > epsi20 ) ; z1_a_i(:,:,:) = 1._wp / a_i(:,:,:) |
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| 222 | ELSEWHERE ; z1_a_i(:,:,:) = 0._wp |
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| 223 | END WHERE |
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| 224 | ! |
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| 225 | WHERE( v_i(:,:,:) > epsi20 ) ; z1_v_i(:,:,:) = 1._wp / v_i(:,:,:) |
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| 226 | ELSEWHERE ; z1_v_i(:,:,:) = 0._wp |
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| 227 | END WHERE |
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[13472] | 228 | ! |
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| 229 | WHERE( a_ip(:,:,:) > epsi20 ) ; z1_a_ip(:,:,:) = 1._wp / a_ip(:,:,:) |
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| 230 | ELSEWHERE ; z1_a_ip(:,:,:) = 0._wp |
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| 231 | END WHERE |
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[8637] | 232 | ! !--- ice thickness |
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| 233 | h_i(:,:,:) = v_i (:,:,:) * z1_a_i(:,:,:) |
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[8586] | 234 | |
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| 235 | zhmax = hi_max(jpl) |
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[14072] | 236 | z1_zhmax = 1._wp / hi_max(jpl) |
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[8637] | 237 | 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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[14005] | 238 | h_i (:,:,jpl) = zhmax |
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[14072] | 239 | a_i (:,:,jpl) = v_i(:,:,jpl) * z1_zhmax |
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[8637] | 240 | z1_a_i(:,:,jpl) = zhmax * z1_v_i(:,:,jpl) |
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[8586] | 241 | END WHERE |
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[8637] | 242 | ! !--- snow thickness |
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| 243 | h_s(:,:,:) = v_s (:,:,:) * z1_a_i(:,:,:) |
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[14072] | 244 | ! !--- ice age |
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[8637] | 245 | o_i(:,:,:) = oa_i(:,:,:) * z1_a_i(:,:,:) |
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[14072] | 246 | ! !--- pond and lid thickness |
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[13472] | 247 | h_ip(:,:,:) = v_ip(:,:,:) * z1_a_ip(:,:,:) |
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| 248 | h_il(:,:,:) = v_il(:,:,:) * z1_a_ip(:,:,:) |
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| 249 | ! !--- melt pond effective area (used for albedo) |
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[8637] | 250 | a_ip_frac(:,:,:) = a_ip(:,:,:) * z1_a_i(:,:,:) |
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[13472] | 251 | WHERE ( h_il(:,:,:) <= zhl_min ) ; a_ip_eff(:,:,:) = a_ip_frac(:,:,:) ! lid is very thin. Expose all the pond |
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| 252 | ELSEWHERE( h_il(:,:,:) >= zhl_max ) ; a_ip_eff(:,:,:) = 0._wp ! lid is very thick. Cover all the pond up with ice and snow |
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| 253 | ELSEWHERE ; a_ip_eff(:,:,:) = a_ip_frac(:,:,:) * & ! lid is in between. Expose part of the pond |
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[14005] | 254 | & ( zhl_max - h_il(:,:,:) ) / ( zhl_max - zhl_min ) |
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[8637] | 255 | END WHERE |
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| 256 | ! |
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[13472] | 257 | CALL ice_var_snwfra( h_s, za_s_fra ) ! calculate ice fraction covered by snow |
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| 258 | a_ip_eff = MIN( a_ip_eff, 1._wp - za_s_fra ) ! make sure (a_ip_eff + a_s_fra) <= 1 |
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| 259 | ! |
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[14072] | 260 | ! !--- salinity (with a minimum value imposed everywhere) |
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[8637] | 261 | IF( nn_icesal == 2 ) THEN |
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[8586] | 262 | WHERE( v_i(:,:,:) > epsi20 ) ; s_i(:,:,:) = MAX( rn_simin , MIN( rn_simax, sv_i(:,:,:) * z1_v_i(:,:,:) ) ) |
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| 263 | ELSEWHERE ; s_i(:,:,:) = rn_simin |
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| 264 | END WHERE |
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| 265 | ENDIF |
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[8637] | 266 | CALL ice_var_salprof ! salinity profile |
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[8586] | 267 | |
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| 268 | !------------------- |
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| 269 | ! Ice temperature [K] (with a minimum value (rt0 - 100.)) |
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| 270 | !------------------- |
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| 271 | zlay_i = REAL( nlay_i , wp ) ! number of layers |
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| 272 | DO jl = 1, jpl |
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[13295] | 273 | DO_3D( 1, 1, 1, 1, 1, nlay_i ) |
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[14072] | 274 | IF ( v_i(ji,jj,jl) > epsi20 ) THEN !--- icy area |
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[12377] | 275 | ! |
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| 276 | 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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| 277 | ztmelts = - sz_i(ji,jj,jk,jl) * rTmlt ! Ice layer melt temperature [C] |
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| 278 | ! Conversion q(S,T) -> T (second order equation) |
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| 279 | zbbb = ( rcp - rcpi ) * ztmelts + ze_i * r1_rhoi - rLfus |
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| 280 | zccc = SQRT( MAX( zbbb * zbbb - 4._wp * rcpi * rLfus * ztmelts , 0._wp) ) |
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| 281 | 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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| 282 | ! |
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| 283 | ELSE !--- no ice |
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| 284 | t_i(ji,jj,jk,jl) = rt0 |
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| 285 | ENDIF |
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| 286 | END_3D |
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[8586] | 287 | END DO |
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| 288 | |
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| 289 | !-------------------- |
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| 290 | ! Snow temperature [K] (with a minimum value (rt0 - 100.)) |
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| 291 | !-------------------- |
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| 292 | zlay_s = REAL( nlay_s , wp ) |
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| 293 | DO jk = 1, nlay_s |
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| 294 | WHERE( v_s(:,:,:) > epsi20 ) !--- icy area |
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[9121] | 295 | t_s(:,:,jk,:) = rt0 + MAX( -100._wp , & |
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[9935] | 296 | & MIN( r1_rcpi * ( -r1_rhos * ( e_s(:,:,jk,:) / v_s(:,:,:) * zlay_s ) + rLfus ) , 0._wp ) ) |
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[8586] | 297 | ELSEWHERE !--- no ice |
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| 298 | t_s(:,:,jk,:) = rt0 |
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| 299 | END WHERE |
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| 300 | END DO |
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[8813] | 301 | ! |
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[14072] | 302 | ! integrated values |
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[11536] | 303 | vt_i (:,:) = SUM( v_i , dim=3 ) |
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| 304 | vt_s (:,:) = SUM( v_s , dim=3 ) |
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| 305 | at_i (:,:) = SUM( a_i , dim=3 ) |
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[8586] | 306 | ! |
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| 307 | END SUBROUTINE ice_var_glo2eqv |
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| 308 | |
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| 309 | |
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| 310 | SUBROUTINE ice_var_eqv2glo |
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| 311 | !!------------------------------------------------------------------- |
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| 312 | !! *** ROUTINE ice_var_eqv2glo *** |
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| 313 | !! |
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[14072] | 314 | !! ** Purpose : computes global variables as function of |
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[8586] | 315 | !! equivalent variables, i.e. it turns VEQV into VGLO |
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| 316 | !!------------------------------------------------------------------- |
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| 317 | ! |
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[8637] | 318 | v_i (:,:,:) = h_i (:,:,:) * a_i (:,:,:) |
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| 319 | v_s (:,:,:) = h_s (:,:,:) * a_i (:,:,:) |
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| 320 | sv_i(:,:,:) = s_i (:,:,:) * v_i (:,:,:) |
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| 321 | v_ip(:,:,:) = h_ip(:,:,:) * a_ip(:,:,:) |
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[13472] | 322 | v_il(:,:,:) = h_il(:,:,:) * a_ip(:,:,:) |
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[8586] | 323 | ! |
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| 324 | END SUBROUTINE ice_var_eqv2glo |
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| 325 | |
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| 326 | |
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| 327 | SUBROUTINE ice_var_salprof |
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| 328 | !!------------------------------------------------------------------- |
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| 329 | !! *** ROUTINE ice_var_salprof *** |
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| 330 | !! |
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[14072] | 331 | !! ** Purpose : computes salinity profile in function of bulk salinity |
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[8586] | 332 | !! |
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[14072] | 333 | !! ** Method : If bulk salinity greater than zsi1, |
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[8586] | 334 | !! the profile is assumed to be constant (S_inf) |
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| 335 | !! If bulk salinity lower than zsi0, |
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| 336 | !! the profile is linear with 0 at the surface (S_zero) |
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| 337 | !! If it is between zsi0 and zsi1, it is a |
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| 338 | !! alpha-weighted linear combination of s_inf and s_zero |
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| 339 | !! |
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| 340 | !! ** References : Vancoppenolle et al., 2007 |
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| 341 | !!------------------------------------------------------------------- |
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| 342 | INTEGER :: ji, jj, jk, jl ! dummy loop index |
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| 343 | REAL(wp) :: zsal, z1_dS |
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| 344 | REAL(wp) :: zargtemp , zs0, zs |
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| 345 | REAL(wp), ALLOCATABLE, DIMENSION(:,:,:) :: z_slope_s, zalpha ! case 2 only |
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| 346 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
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| 347 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
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| 348 | !!------------------------------------------------------------------- |
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| 349 | |
---|
[14072] | 350 | !!gm Question: Remove the option 3 ? How many years since it last use ? |
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[8586] | 351 | |
---|
| 352 | SELECT CASE ( nn_icesal ) |
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| 353 | ! |
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| 354 | ! !---------------------------------------! |
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| 355 | CASE( 1 ) ! constant salinity in time and space ! |
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| 356 | ! !---------------------------------------! |
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| 357 | sz_i(:,:,:,:) = rn_icesal |
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[9118] | 358 | s_i (:,:,:) = rn_icesal |
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[8586] | 359 | ! |
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| 360 | ! !---------------------------------------------! |
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| 361 | CASE( 2 ) ! time varying salinity with linear profile ! |
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| 362 | ! !---------------------------------------------! |
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| 363 | ! |
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| 364 | ALLOCATE( z_slope_s(jpi,jpj,jpl) , zalpha(jpi,jpj,jpl) ) |
---|
| 365 | ! |
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| 366 | DO jl = 1, jpl |
---|
| 367 | DO jk = 1, nlay_i |
---|
| 368 | sz_i(:,:,jk,jl) = s_i(:,:,jl) |
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| 369 | END DO |
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| 370 | END DO |
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[14072] | 371 | ! ! Slope of the linear profile |
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[8586] | 372 | WHERE( h_i(:,:,:) > epsi20 ) ; z_slope_s(:,:,:) = 2._wp * s_i(:,:,:) / h_i(:,:,:) |
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[9118] | 373 | ELSEWHERE ; z_slope_s(:,:,:) = 0._wp |
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[8586] | 374 | END WHERE |
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| 375 | ! |
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| 376 | z1_dS = 1._wp / ( zsi1 - zsi0 ) |
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| 377 | DO jl = 1, jpl |
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[13295] | 378 | DO_2D( 1, 1, 1, 1 ) |
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[12377] | 379 | zalpha(ji,jj,jl) = MAX( 0._wp , MIN( ( zsi1 - s_i(ji,jj,jl) ) * z1_dS , 1._wp ) ) |
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| 380 | ! ! force a constant profile when SSS too low (Baltic Sea) |
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[14072] | 381 | IF( 2._wp * s_i(ji,jj,jl) >= sss_m(ji,jj) ) zalpha(ji,jj,jl) = 0._wp |
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[12377] | 382 | END_2D |
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[8586] | 383 | END DO |
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[8813] | 384 | ! |
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[8586] | 385 | ! Computation of the profile |
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| 386 | DO jl = 1, jpl |
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[13295] | 387 | DO_3D( 1, 1, 1, 1, 1, nlay_i ) |
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[12377] | 388 | ! ! linear profile with 0 surface value |
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| 389 | 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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| 390 | zs = zalpha(ji,jj,jl) * zs0 + ( 1._wp - zalpha(ji,jj,jl) ) * s_i(ji,jj,jl) ! weighting the profile |
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| 391 | sz_i(ji,jj,jk,jl) = MIN( rn_simax, MAX( zs, rn_simin ) ) |
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| 392 | END_3D |
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[8586] | 393 | END DO |
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| 394 | ! |
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| 395 | DEALLOCATE( z_slope_s , zalpha ) |
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| 396 | ! |
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| 397 | ! !-------------------------------------------! |
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| 398 | CASE( 3 ) ! constant salinity with a fix profile ! (Schwarzacher (1959) multiyear salinity profile |
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| 399 | ! !-------------------------------------------! (mean = 2.30) |
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| 400 | ! |
---|
| 401 | s_i(:,:,:) = 2.30_wp |
---|
| 402 | !!gm Remark: if we keep the case 3, then compute an store one for all time-step |
---|
| 403 | !! a array S_prof(1:nlay_i) containing the calculation and just do: |
---|
| 404 | ! DO jk = 1, nlay_i |
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| 405 | ! sz_i(:,:,jk,:) = S_prof(jk) |
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| 406 | ! END DO |
---|
| 407 | !!gm end |
---|
| 408 | ! |
---|
| 409 | DO jl = 1, jpl |
---|
| 410 | DO jk = 1, nlay_i |
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| 411 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
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| 412 | sz_i(:,:,jk,jl) = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**(0.407_wp/(0.573_wp+zargtemp)) ) ) |
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| 413 | END DO |
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| 414 | END DO |
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| 415 | ! |
---|
| 416 | END SELECT |
---|
| 417 | ! |
---|
| 418 | END SUBROUTINE ice_var_salprof |
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| 419 | |
---|
[8813] | 420 | |
---|
[8586] | 421 | SUBROUTINE ice_var_salprof1d |
---|
| 422 | !!------------------------------------------------------------------- |
---|
| 423 | !! *** ROUTINE ice_var_salprof1d *** |
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| 424 | !! |
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| 425 | !! ** Purpose : 1d computation of the sea ice salinity profile |
---|
| 426 | !! Works with 1d vectors and is used by thermodynamic modules |
---|
| 427 | !!------------------------------------------------------------------- |
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| 428 | INTEGER :: ji, jk ! dummy loop indices |
---|
| 429 | REAL(wp) :: zargtemp, zsal, z1_dS ! local scalars |
---|
| 430 | REAL(wp) :: zs, zs0 ! - - |
---|
| 431 | ! |
---|
| 432 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: z_slope_s, zalpha ! |
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| 433 | REAL(wp), PARAMETER :: zsi0 = 3.5_wp |
---|
| 434 | REAL(wp), PARAMETER :: zsi1 = 4.5_wp |
---|
| 435 | !!------------------------------------------------------------------- |
---|
| 436 | ! |
---|
| 437 | SELECT CASE ( nn_icesal ) |
---|
| 438 | ! |
---|
| 439 | ! !---------------------------------------! |
---|
| 440 | CASE( 1 ) ! constant salinity in time and space ! |
---|
| 441 | ! !---------------------------------------! |
---|
| 442 | sz_i_1d(1:npti,:) = rn_icesal |
---|
| 443 | ! |
---|
| 444 | ! !---------------------------------------------! |
---|
| 445 | CASE( 2 ) ! time varying salinity with linear profile ! |
---|
| 446 | ! !---------------------------------------------! |
---|
| 447 | ! |
---|
| 448 | ALLOCATE( z_slope_s(jpij), zalpha(jpij) ) |
---|
| 449 | ! |
---|
[14072] | 450 | ! ! Slope of the linear profile |
---|
[8586] | 451 | 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] | 452 | ELSEWHERE ; z_slope_s(1:npti) = 0._wp |
---|
[8586] | 453 | END WHERE |
---|
[14072] | 454 | |
---|
[8586] | 455 | z1_dS = 1._wp / ( zsi1 - zsi0 ) |
---|
| 456 | DO ji = 1, npti |
---|
| 457 | zalpha(ji) = MAX( 0._wp , MIN( ( zsi1 - s_i_1d(ji) ) * z1_dS , 1._wp ) ) |
---|
| 458 | ! ! force a constant profile when SSS too low (Baltic Sea) |
---|
| 459 | IF( 2._wp * s_i_1d(ji) >= sss_1d(ji) ) zalpha(ji) = 0._wp |
---|
| 460 | END DO |
---|
| 461 | ! |
---|
| 462 | ! Computation of the profile |
---|
| 463 | DO jk = 1, nlay_i |
---|
| 464 | DO ji = 1, npti |
---|
| 465 | ! ! linear profile with 0 surface value |
---|
| 466 | zs0 = z_slope_s(ji) * ( REAL(jk,wp) - 0.5_wp ) * h_i_1d(ji) * r1_nlay_i |
---|
| 467 | zs = zalpha(ji) * zs0 + ( 1._wp - zalpha(ji) ) * s_i_1d(ji) |
---|
| 468 | sz_i_1d(ji,jk) = MIN( rn_simax , MAX( zs , rn_simin ) ) |
---|
| 469 | END DO |
---|
| 470 | END DO |
---|
| 471 | ! |
---|
| 472 | DEALLOCATE( z_slope_s, zalpha ) |
---|
| 473 | |
---|
| 474 | ! !-------------------------------------------! |
---|
| 475 | CASE( 3 ) ! constant salinity with a fix profile ! (Schwarzacher (1959) multiyear salinity profile |
---|
| 476 | ! !-------------------------------------------! (mean = 2.30) |
---|
| 477 | ! |
---|
| 478 | s_i_1d(1:npti) = 2.30_wp |
---|
| 479 | ! |
---|
| 480 | !!gm cf remark in ice_var_salprof routine, CASE( 3 ) |
---|
| 481 | DO jk = 1, nlay_i |
---|
| 482 | zargtemp = ( REAL(jk,wp) - 0.5_wp ) * r1_nlay_i |
---|
| 483 | zsal = 1.6_wp * ( 1._wp - COS( rpi * zargtemp**( 0.407_wp / ( 0.573_wp + zargtemp ) ) ) ) |
---|
| 484 | DO ji = 1, npti |
---|
| 485 | sz_i_1d(ji,jk) = zsal |
---|
| 486 | END DO |
---|
| 487 | END DO |
---|
| 488 | ! |
---|
| 489 | END SELECT |
---|
| 490 | ! |
---|
| 491 | END SUBROUTINE ice_var_salprof1d |
---|
| 492 | |
---|
| 493 | |
---|
| 494 | SUBROUTINE ice_var_zapsmall |
---|
| 495 | !!------------------------------------------------------------------- |
---|
| 496 | !! *** ROUTINE ice_var_zapsmall *** |
---|
| 497 | !! |
---|
| 498 | !! ** Purpose : Remove too small sea ice areas and correct fluxes |
---|
| 499 | !!------------------------------------------------------------------- |
---|
| 500 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 501 | REAL(wp), DIMENSION(jpi,jpj) :: zswitch |
---|
| 502 | !!------------------------------------------------------------------- |
---|
| 503 | ! |
---|
| 504 | DO jl = 1, jpl !== loop over the categories ==! |
---|
| 505 | ! |
---|
[9448] | 506 | WHERE( a_i(:,:,jl) > epsi10 ) ; h_i(:,:,jl) = v_i(:,:,jl) / a_i(:,:,jl) |
---|
[8586] | 507 | ELSEWHERE ; h_i(:,:,jl) = 0._wp |
---|
| 508 | END WHERE |
---|
| 509 | ! |
---|
| 510 | WHERE( a_i(:,:,jl) < epsi10 .OR. v_i(:,:,jl) < epsi10 .OR. h_i(:,:,jl) < epsi10 ) ; zswitch(:,:) = 0._wp |
---|
| 511 | ELSEWHERE ; zswitch(:,:) = 1._wp |
---|
| 512 | END WHERE |
---|
[8813] | 513 | ! |
---|
[9943] | 514 | !----------------------------------------------------------------- |
---|
| 515 | ! Zap ice energy and use ocean heat to melt ice |
---|
| 516 | !----------------------------------------------------------------- |
---|
[13295] | 517 | DO_3D( 1, 1, 1, 1, 1, nlay_i ) |
---|
[12377] | 518 | ! update exchanges with ocean |
---|
[12489] | 519 | hfx_res(ji,jj) = hfx_res(ji,jj) - (1._wp - zswitch(ji,jj) ) * e_i(ji,jj,jk,jl) * r1_Dt_ice ! W.m-2 <0 |
---|
[12377] | 520 | e_i(ji,jj,jk,jl) = e_i(ji,jj,jk,jl) * zswitch(ji,jj) |
---|
| 521 | t_i(ji,jj,jk,jl) = t_i(ji,jj,jk,jl) * zswitch(ji,jj) + rt0 * ( 1._wp - zswitch(ji,jj) ) |
---|
| 522 | END_3D |
---|
[8813] | 523 | ! |
---|
[13295] | 524 | DO_3D( 1, 1, 1, 1, 1, nlay_s ) |
---|
[12377] | 525 | ! update exchanges with ocean |
---|
[12489] | 526 | hfx_res(ji,jj) = hfx_res(ji,jj) - (1._wp - zswitch(ji,jj) ) * e_s(ji,jj,jk,jl) * r1_Dt_ice ! W.m-2 <0 |
---|
[12377] | 527 | e_s(ji,jj,jk,jl) = e_s(ji,jj,jk,jl) * zswitch(ji,jj) |
---|
| 528 | t_s(ji,jj,jk,jl) = t_s(ji,jj,jk,jl) * zswitch(ji,jj) + rt0 * ( 1._wp - zswitch(ji,jj) ) |
---|
| 529 | END_3D |
---|
[9271] | 530 | ! |
---|
[9943] | 531 | !----------------------------------------------------------------- |
---|
| 532 | ! zap ice and snow volume, add water and salt to ocean |
---|
| 533 | !----------------------------------------------------------------- |
---|
[13295] | 534 | DO_2D( 1, 1, 1, 1 ) |
---|
[12377] | 535 | ! update exchanges with ocean |
---|
[14005] | 536 | sfx_res(ji,jj) = sfx_res(ji,jj) + ( 1._wp - zswitch(ji,jj) ) * sv_i(ji,jj,jl) * rhoi * r1_Dt_ice |
---|
| 537 | wfx_res(ji,jj) = wfx_res(ji,jj) + ( 1._wp - zswitch(ji,jj) ) * v_i (ji,jj,jl) * rhoi * r1_Dt_ice |
---|
| 538 | wfx_res(ji,jj) = wfx_res(ji,jj) + ( 1._wp - zswitch(ji,jj) ) * v_s (ji,jj,jl) * rhos * r1_Dt_ice |
---|
| 539 | wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + ( 1._wp - zswitch(ji,jj) ) * ( v_ip(ji,jj,jl)+v_il(ji,jj,jl) ) * rhow * r1_Dt_ice |
---|
[12377] | 540 | ! |
---|
| 541 | a_i (ji,jj,jl) = a_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 542 | v_i (ji,jj,jl) = v_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 543 | v_s (ji,jj,jl) = v_s (ji,jj,jl) * zswitch(ji,jj) |
---|
| 544 | t_su (ji,jj,jl) = t_su(ji,jj,jl) * zswitch(ji,jj) + t_bo(ji,jj) * ( 1._wp - zswitch(ji,jj) ) |
---|
| 545 | oa_i (ji,jj,jl) = oa_i(ji,jj,jl) * zswitch(ji,jj) |
---|
| 546 | sv_i (ji,jj,jl) = sv_i(ji,jj,jl) * zswitch(ji,jj) |
---|
| 547 | ! |
---|
| 548 | h_i (ji,jj,jl) = h_i (ji,jj,jl) * zswitch(ji,jj) |
---|
| 549 | h_s (ji,jj,jl) = h_s (ji,jj,jl) * zswitch(ji,jj) |
---|
| 550 | ! |
---|
| 551 | a_ip (ji,jj,jl) = a_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
| 552 | v_ip (ji,jj,jl) = v_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
[13472] | 553 | v_il (ji,jj,jl) = v_il (ji,jj,jl) * zswitch(ji,jj) |
---|
[14005] | 554 | h_ip (ji,jj,jl) = h_ip (ji,jj,jl) * zswitch(ji,jj) |
---|
| 555 | h_il (ji,jj,jl) = h_il (ji,jj,jl) * zswitch(ji,jj) |
---|
[12377] | 556 | ! |
---|
| 557 | END_2D |
---|
[8813] | 558 | ! |
---|
[14072] | 559 | END DO |
---|
[8586] | 560 | |
---|
| 561 | ! to be sure that at_i is the sum of a_i(jl) |
---|
[11536] | 562 | at_i (:,:) = SUM( a_i (:,:,:), dim=3 ) |
---|
| 563 | vt_i (:,:) = SUM( v_i (:,:,:), dim=3 ) |
---|
| 564 | !!clem add? |
---|
| 565 | ! vt_s (:,:) = SUM( v_s (:,:,:), dim=3 ) |
---|
| 566 | ! st_i (:,:) = SUM( sv_i(:,:,:), dim=3 ) |
---|
| 567 | ! et_s(:,:) = SUM( SUM( e_s (:,:,:,:), dim=4 ), dim=3 ) |
---|
| 568 | ! et_i(:,:) = SUM( SUM( e_i (:,:,:,:), dim=4 ), dim=3 ) |
---|
| 569 | !!clem |
---|
[8586] | 570 | |
---|
| 571 | ! open water = 1 if at_i=0 |
---|
| 572 | WHERE( at_i(:,:) == 0._wp ) ato_i(:,:) = 1._wp |
---|
| 573 | ! |
---|
| 574 | END SUBROUTINE ice_var_zapsmall |
---|
| 575 | |
---|
| 576 | |
---|
[13472] | 577 | SUBROUTINE ice_var_zapneg( pdt, pato_i, pv_i, pv_s, psv_i, poa_i, pa_i, pa_ip, pv_ip, pv_il, pe_s, pe_i ) |
---|
[9943] | 578 | !!------------------------------------------------------------------- |
---|
| 579 | !! *** ROUTINE ice_var_zapneg *** |
---|
| 580 | !! |
---|
| 581 | !! ** Purpose : Remove negative sea ice fields and correct fluxes |
---|
| 582 | !!------------------------------------------------------------------- |
---|
[10930] | 583 | REAL(wp) , INTENT(in ) :: pdt ! tracer time-step |
---|
[9943] | 584 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pato_i ! open water area |
---|
| 585 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_i ! ice volume |
---|
| 586 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_s ! snw volume |
---|
| 587 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: psv_i ! salt content |
---|
| 588 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: poa_i ! age content |
---|
| 589 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_i ! ice concentration |
---|
| 590 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
---|
| 591 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
---|
[13472] | 592 | REAL(wp), DIMENSION(:,:,:) , INTENT(inout) :: pv_il ! melt pond lid volume |
---|
[9943] | 593 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_s ! snw heat content |
---|
| 594 | REAL(wp), DIMENSION(:,:,:,:), INTENT(inout) :: pe_i ! ice heat content |
---|
[10930] | 595 | ! |
---|
| 596 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
---|
| 597 | REAL(wp) :: z1_dt |
---|
[9943] | 598 | !!------------------------------------------------------------------- |
---|
| 599 | ! |
---|
[10930] | 600 | z1_dt = 1._wp / pdt |
---|
[9943] | 601 | ! |
---|
| 602 | DO jl = 1, jpl !== loop over the categories ==! |
---|
| 603 | ! |
---|
[10945] | 604 | ! make sure a_i=0 where v_i<=0 |
---|
| 605 | WHERE( pv_i(:,:,:) <= 0._wp ) pa_i(:,:,:) = 0._wp |
---|
| 606 | |
---|
[9943] | 607 | !---------------------------------------- |
---|
| 608 | ! zap ice energy and send it to the ocean |
---|
| 609 | !---------------------------------------- |
---|
[13295] | 610 | DO_3D( 1, 1, 1, 1, 1, nlay_i ) |
---|
[12377] | 611 | IF( pe_i(ji,jj,jk,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
| 612 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_i(ji,jj,jk,jl) * z1_dt ! W.m-2 >0 |
---|
| 613 | pe_i(ji,jj,jk,jl) = 0._wp |
---|
| 614 | ENDIF |
---|
| 615 | END_3D |
---|
[9943] | 616 | ! |
---|
[13295] | 617 | DO_3D( 1, 1, 1, 1, 1, nlay_s ) |
---|
[12377] | 618 | IF( pe_s(ji,jj,jk,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
| 619 | hfx_res(ji,jj) = hfx_res(ji,jj) - pe_s(ji,jj,jk,jl) * z1_dt ! W.m-2 <0 |
---|
| 620 | pe_s(ji,jj,jk,jl) = 0._wp |
---|
| 621 | ENDIF |
---|
| 622 | END_3D |
---|
[9943] | 623 | ! |
---|
| 624 | !----------------------------------------------------- |
---|
| 625 | ! zap ice and snow volume, add water and salt to ocean |
---|
| 626 | !----------------------------------------------------- |
---|
[13295] | 627 | DO_2D( 1, 1, 1, 1 ) |
---|
[12377] | 628 | IF( pv_i(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
| 629 | wfx_res(ji,jj) = wfx_res(ji,jj) + pv_i (ji,jj,jl) * rhoi * z1_dt |
---|
| 630 | pv_i (ji,jj,jl) = 0._wp |
---|
| 631 | ENDIF |
---|
| 632 | IF( pv_s(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp ) THEN |
---|
| 633 | wfx_res(ji,jj) = wfx_res(ji,jj) + pv_s (ji,jj,jl) * rhos * z1_dt |
---|
| 634 | pv_s (ji,jj,jl) = 0._wp |
---|
| 635 | ENDIF |
---|
| 636 | IF( psv_i(ji,jj,jl) < 0._wp .OR. pa_i(ji,jj,jl) <= 0._wp .OR. pv_i(ji,jj,jl) <= 0._wp ) THEN |
---|
| 637 | sfx_res(ji,jj) = sfx_res(ji,jj) + psv_i(ji,jj,jl) * rhoi * z1_dt |
---|
| 638 | psv_i (ji,jj,jl) = 0._wp |
---|
| 639 | ENDIF |
---|
[14005] | 640 | IF( pv_ip(ji,jj,jl) < 0._wp .OR. pv_il(ji,jj,jl) < 0._wp .OR. pa_ip(ji,jj,jl) <= 0._wp ) THEN |
---|
| 641 | wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + pv_il(ji,jj,jl) * rhow * z1_dt |
---|
| 642 | pv_il (ji,jj,jl) = 0._wp |
---|
| 643 | ENDIF |
---|
| 644 | IF( pv_ip(ji,jj,jl) < 0._wp .OR. pa_ip(ji,jj,jl) <= 0._wp ) THEN |
---|
| 645 | wfx_pnd(ji,jj) = wfx_pnd(ji,jj) + pv_ip(ji,jj,jl) * rhow * z1_dt |
---|
| 646 | pv_ip (ji,jj,jl) = 0._wp |
---|
| 647 | ENDIF |
---|
[12377] | 648 | END_2D |
---|
[9943] | 649 | ! |
---|
[14072] | 650 | END DO |
---|
[9943] | 651 | ! |
---|
[10413] | 652 | WHERE( pato_i(:,:) < 0._wp ) pato_i(:,:) = 0._wp |
---|
| 653 | WHERE( poa_i (:,:,:) < 0._wp ) poa_i (:,:,:) = 0._wp |
---|
| 654 | WHERE( pa_i (:,:,:) < 0._wp ) pa_i (:,:,:) = 0._wp |
---|
| 655 | WHERE( pa_ip (:,:,:) < 0._wp ) pa_ip (:,:,:) = 0._wp |
---|
| 656 | ! |
---|
[9943] | 657 | END SUBROUTINE ice_var_zapneg |
---|
| 658 | |
---|
[10994] | 659 | |
---|
[13472] | 660 | SUBROUTINE ice_var_roundoff( pa_i, pv_i, pv_s, psv_i, poa_i, pa_ip, pv_ip, pv_il, pe_s, pe_i ) |
---|
[10994] | 661 | !!------------------------------------------------------------------- |
---|
| 662 | !! *** ROUTINE ice_var_roundoff *** |
---|
| 663 | !! |
---|
| 664 | !! ** Purpose : Remove negative sea ice values arising from roundoff errors |
---|
| 665 | !!------------------------------------------------------------------- |
---|
| 666 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pa_i ! ice concentration |
---|
| 667 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_i ! ice volume |
---|
| 668 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_s ! snw volume |
---|
| 669 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: psv_i ! salt content |
---|
| 670 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: poa_i ! age content |
---|
| 671 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pa_ip ! melt pond fraction |
---|
| 672 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_ip ! melt pond volume |
---|
[13472] | 673 | REAL(wp), DIMENSION(:,:) , INTENT(inout) :: pv_il ! melt pond lid volume |
---|
[10994] | 674 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pe_s ! snw heat content |
---|
| 675 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pe_i ! ice heat content |
---|
| 676 | !!------------------------------------------------------------------- |
---|
| 677 | ! |
---|
[13226] | 678 | |
---|
| 679 | WHERE( pa_i (1:npti,:) < 0._wp ) pa_i (1:npti,:) = 0._wp ! a_i must be >= 0 |
---|
| 680 | WHERE( pv_i (1:npti,:) < 0._wp ) pv_i (1:npti,:) = 0._wp ! v_i must be >= 0 |
---|
| 681 | WHERE( pv_s (1:npti,:) < 0._wp ) pv_s (1:npti,:) = 0._wp ! v_s must be >= 0 |
---|
| 682 | WHERE( psv_i(1:npti,:) < 0._wp ) psv_i(1:npti,:) = 0._wp ! sv_i must be >= 0 |
---|
| 683 | WHERE( poa_i(1:npti,:) < 0._wp ) poa_i(1:npti,:) = 0._wp ! oa_i must be >= 0 |
---|
| 684 | WHERE( pe_i (1:npti,:,:) < 0._wp ) pe_i (1:npti,:,:) = 0._wp ! e_i must be >= 0 |
---|
| 685 | WHERE( pe_s (1:npti,:,:) < 0._wp ) pe_s (1:npti,:,:) = 0._wp ! e_s must be >= 0 |
---|
[14005] | 686 | IF( ln_pnd_LEV .OR. ln_pnd_TOPO ) THEN |
---|
[13226] | 687 | WHERE( pa_ip(1:npti,:) < 0._wp ) pa_ip(1:npti,:) = 0._wp ! a_ip must be >= 0 |
---|
| 688 | WHERE( pv_ip(1:npti,:) < 0._wp ) pv_ip(1:npti,:) = 0._wp ! v_ip must be >= 0 |
---|
[13472] | 689 | IF( ln_pnd_lids ) THEN |
---|
| 690 | WHERE( pv_il(1:npti,:) < 0._wp .AND. pv_il(1:npti,:) > -epsi10 ) pv_il(1:npti,:) = 0._wp ! v_il must be >= 0 |
---|
| 691 | ENDIF |
---|
[10994] | 692 | ENDIF |
---|
| 693 | ! |
---|
| 694 | END SUBROUTINE ice_var_roundoff |
---|
[11229] | 695 | |
---|
[14072] | 696 | |
---|
[11229] | 697 | SUBROUTINE ice_var_bv |
---|
| 698 | !!------------------------------------------------------------------- |
---|
| 699 | !! *** ROUTINE ice_var_bv *** |
---|
| 700 | !! |
---|
| 701 | !! ** Purpose : computes mean brine volume (%) in sea ice |
---|
| 702 | !! |
---|
| 703 | !! ** Method : e = - 0.054 * S (ppt) / T (C) |
---|
| 704 | !! |
---|
| 705 | !! References : Vancoppenolle et al., JGR, 2007 |
---|
| 706 | !!------------------------------------------------------------------- |
---|
| 707 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
---|
| 708 | !!------------------------------------------------------------------- |
---|
| 709 | ! |
---|
| 710 | !!gm I prefere to use WHERE / ELSEWHERE to set it to zero only where needed <<<=== to be done |
---|
| 711 | !! instead of setting everything to zero as just below |
---|
| 712 | bv_i (:,:,:) = 0._wp |
---|
| 713 | DO jl = 1, jpl |
---|
| 714 | DO jk = 1, nlay_i |
---|
[14072] | 715 | WHERE( t_i(:,:,jk,jl) < rt0 - epsi10 ) |
---|
[11229] | 716 | bv_i(:,:,jl) = bv_i(:,:,jl) - rTmlt * sz_i(:,:,jk,jl) * r1_nlay_i / ( t_i(:,:,jk,jl) - rt0 ) |
---|
| 717 | END WHERE |
---|
| 718 | END DO |
---|
| 719 | END DO |
---|
| 720 | WHERE( vt_i(:,:) > epsi20 ) ; bvm_i(:,:) = SUM( bv_i(:,:,:) * v_i(:,:,:) , dim=3 ) / vt_i(:,:) |
---|
| 721 | ELSEWHERE ; bvm_i(:,:) = 0._wp |
---|
| 722 | END WHERE |
---|
| 723 | ! |
---|
| 724 | END SUBROUTINE ice_var_bv |
---|
| 725 | |
---|
| 726 | |
---|
| 727 | SUBROUTINE ice_var_enthalpy |
---|
| 728 | !!------------------------------------------------------------------- |
---|
[14072] | 729 | !! *** ROUTINE ice_var_enthalpy *** |
---|
| 730 | !! |
---|
[11229] | 731 | !! ** Purpose : Computes sea ice energy of melting q_i (J.m-3) from temperature |
---|
| 732 | !! |
---|
| 733 | !! ** Method : Formula (Bitz and Lipscomb, 1999) |
---|
| 734 | !!------------------------------------------------------------------- |
---|
| 735 | INTEGER :: ji, jk ! dummy loop indices |
---|
[14072] | 736 | REAL(wp) :: ztmelts ! local scalar |
---|
[11229] | 737 | !!------------------------------------------------------------------- |
---|
| 738 | ! |
---|
| 739 | DO jk = 1, nlay_i ! Sea ice energy of melting |
---|
| 740 | DO ji = 1, npti |
---|
| 741 | ztmelts = - rTmlt * sz_i_1d(ji,jk) |
---|
| 742 | 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 |
---|
[14072] | 743 | ! (sometimes zdf scheme produces abnormally high temperatures) |
---|
[11229] | 744 | e_i_1d(ji,jk) = rhoi * ( rcpi * ( ztmelts - ( t_i_1d(ji,jk) - rt0 ) ) & |
---|
| 745 | & + rLfus * ( 1._wp - ztmelts / ( t_i_1d(ji,jk) - rt0 ) ) & |
---|
| 746 | & - rcp * ztmelts ) |
---|
| 747 | END DO |
---|
| 748 | END DO |
---|
| 749 | DO jk = 1, nlay_s ! Snow energy of melting |
---|
| 750 | DO ji = 1, npti |
---|
| 751 | e_s_1d(ji,jk) = rhos * ( rcpi * ( rt0 - t_s_1d(ji,jk) ) + rLfus ) |
---|
| 752 | END DO |
---|
| 753 | END DO |
---|
| 754 | ! |
---|
| 755 | END SUBROUTINE ice_var_enthalpy |
---|
| 756 | |
---|
[14072] | 757 | |
---|
[11229] | 758 | FUNCTION ice_var_sshdyn(pssh, psnwice_mass, psnwice_mass_b) |
---|
| 759 | !!--------------------------------------------------------------------- |
---|
| 760 | !! *** ROUTINE ice_var_sshdyn *** |
---|
[14072] | 761 | !! |
---|
[11229] | 762 | !! ** Purpose : compute the equivalent ssh in lead when sea ice is embedded |
---|
| 763 | !! |
---|
[12489] | 764 | !! ** Method : ssh_lead = ssh + (Mice + Msnow) / rho0 |
---|
[11229] | 765 | !! |
---|
| 766 | !! ** Reference : Jean-Michel Campin, John Marshall, David Ferreira, |
---|
[14072] | 767 | !! Sea ice-ocean coupling using a rescaled vertical coordinate z*, |
---|
[11229] | 768 | !! Ocean Modelling, Volume 24, Issues 1-2, 2008 |
---|
| 769 | !!---------------------------------------------------------------------- |
---|
| 770 | ! |
---|
| 771 | ! input |
---|
| 772 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pssh !: ssh [m] |
---|
| 773 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psnwice_mass !: mass of snow and ice at current ice time step [Kg/m2] |
---|
| 774 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: psnwice_mass_b !: mass of snow and ice at previous ice time step [Kg/m2] |
---|
| 775 | ! |
---|
| 776 | ! output |
---|
| 777 | REAL(wp), DIMENSION(jpi,jpj) :: ice_var_sshdyn ! equivalent ssh in lead [m] |
---|
| 778 | ! |
---|
| 779 | ! temporary |
---|
| 780 | REAL(wp) :: zintn, zintb ! time interpolation weights [] |
---|
| 781 | REAL(wp), DIMENSION(jpi,jpj) :: zsnwiceload ! snow and ice load [m] |
---|
| 782 | ! |
---|
| 783 | ! compute ice load used to define the equivalent ssh in lead |
---|
| 784 | IF( ln_ice_embd ) THEN |
---|
[14072] | 785 | ! |
---|
[11229] | 786 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[n/nn_fsbc], n=0,nn_fsbc-1} |
---|
| 787 | ! = (1/nn_fsbc)^2 * {SUM[n] , n=0,nn_fsbc-1} |
---|
| 788 | zintn = REAL( nn_fsbc - 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
| 789 | ! |
---|
| 790 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[1-n/nn_fsbc], n=0,nn_fsbc-1} |
---|
| 791 | ! = (1/nn_fsbc)^2 * (nn_fsbc^2 - {SUM[n], n=0,nn_fsbc-1}) |
---|
| 792 | zintb = REAL( nn_fsbc + 1 ) / REAL( nn_fsbc ) * 0.5_wp |
---|
| 793 | ! |
---|
[12489] | 794 | zsnwiceload(:,:) = ( zintn * psnwice_mass(:,:) + zintb * psnwice_mass_b(:,:) ) * r1_rho0 |
---|
[11229] | 795 | ! |
---|
| 796 | ELSE |
---|
| 797 | zsnwiceload(:,:) = 0.0_wp |
---|
| 798 | ENDIF |
---|
| 799 | ! compute equivalent ssh in lead |
---|
| 800 | ice_var_sshdyn(:,:) = pssh(:,:) + zsnwiceload(:,:) |
---|
| 801 | ! |
---|
| 802 | END FUNCTION ice_var_sshdyn |
---|
| 803 | |
---|
[14072] | 804 | |
---|
[11229] | 805 | !!------------------------------------------------------------------- |
---|
| 806 | !! *** INTERFACE ice_var_itd *** |
---|
| 807 | !! |
---|
| 808 | !! ** Purpose : converting N-cat ice to jpl ice categories |
---|
| 809 | !!------------------------------------------------------------------- |
---|
[13472] | 810 | SUBROUTINE ice_var_itd_1c1c( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
| 811 | & ptmi, ptms, ptmsu, psmi, patip, phtip, phtil, pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ) |
---|
[8586] | 812 | !!------------------------------------------------------------------- |
---|
[11229] | 813 | !! ** Purpose : converting 1-cat ice to 1 ice category |
---|
| 814 | !!------------------------------------------------------------------- |
---|
[11536] | 815 | REAL(wp), DIMENSION(:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
---|
| 816 | REAL(wp), DIMENSION(:), INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
---|
[13472] | 817 | REAL(wp), DIMENSION(:), INTENT(in) :: ptmi, ptms, ptmsu, psmi, patip, phtip, phtil ! input ice/snow temp & sal & ponds |
---|
| 818 | REAL(wp), DIMENSION(:), INTENT(inout) :: pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ! output ice/snow temp & sal & ponds |
---|
[11229] | 819 | !!------------------------------------------------------------------- |
---|
[11536] | 820 | ! == thickness and concentration == ! |
---|
| 821 | ph_i(:) = phti(:) |
---|
| 822 | ph_s(:) = phts(:) |
---|
| 823 | pa_i(:) = pati(:) |
---|
| 824 | ! |
---|
| 825 | ! == temperature and salinity and ponds == ! |
---|
| 826 | pt_i (:) = ptmi (:) |
---|
| 827 | pt_s (:) = ptms (:) |
---|
| 828 | pt_su(:) = ptmsu(:) |
---|
| 829 | ps_i (:) = psmi (:) |
---|
| 830 | pa_ip(:) = patip(:) |
---|
| 831 | ph_ip(:) = phtip(:) |
---|
[13472] | 832 | ph_il(:) = phtil(:) |
---|
[14072] | 833 | |
---|
[11229] | 834 | END SUBROUTINE ice_var_itd_1c1c |
---|
| 835 | |
---|
[13472] | 836 | SUBROUTINE ice_var_itd_Nc1c( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
| 837 | & ptmi, ptms, ptmsu, psmi, patip, phtip, phtil, pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ) |
---|
[11229] | 838 | !!------------------------------------------------------------------- |
---|
| 839 | !! ** Purpose : converting N-cat ice to 1 ice category |
---|
| 840 | !!------------------------------------------------------------------- |
---|
[11536] | 841 | REAL(wp), DIMENSION(:,:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
---|
| 842 | REAL(wp), DIMENSION(:) , INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
---|
[13472] | 843 | REAL(wp), DIMENSION(:,:), INTENT(in) :: ptmi, ptms, ptmsu, psmi, patip, phtip, phtil ! input ice/snow temp & sal & ponds |
---|
| 844 | REAL(wp), DIMENSION(:) , INTENT(inout) :: pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ! output ice/snow temp & sal & ponds |
---|
[11536] | 845 | ! |
---|
| 846 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: z1_ai, z1_vi, z1_vs |
---|
| 847 | ! |
---|
[14072] | 848 | INTEGER :: idim |
---|
[11229] | 849 | !!------------------------------------------------------------------- |
---|
| 850 | ! |
---|
[11536] | 851 | idim = SIZE( phti, 1 ) |
---|
[11229] | 852 | ! |
---|
[11536] | 853 | ! == thickness and concentration == ! |
---|
| 854 | ALLOCATE( z1_ai(idim), z1_vi(idim), z1_vs(idim) ) |
---|
| 855 | ! |
---|
| 856 | pa_i(:) = SUM( pati(:,:), dim=2 ) |
---|
| 857 | |
---|
| 858 | WHERE( ( pa_i(:) ) /= 0._wp ) ; z1_ai(:) = 1._wp / pa_i(:) |
---|
| 859 | ELSEWHERE ; z1_ai(:) = 0._wp |
---|
[11229] | 860 | END WHERE |
---|
[11536] | 861 | |
---|
| 862 | ph_i(:) = SUM( phti(:,:) * pati(:,:), dim=2 ) * z1_ai(:) |
---|
| 863 | ph_s(:) = SUM( phts(:,:) * pati(:,:), dim=2 ) * z1_ai(:) |
---|
[11229] | 864 | ! |
---|
[11536] | 865 | ! == temperature and salinity == ! |
---|
| 866 | WHERE( ( pa_i(:) * ph_i(:) ) /= 0._wp ) ; z1_vi(:) = 1._wp / ( pa_i(:) * ph_i(:) ) |
---|
| 867 | ELSEWHERE ; z1_vi(:) = 0._wp |
---|
| 868 | END WHERE |
---|
| 869 | WHERE( ( pa_i(:) * ph_s(:) ) /= 0._wp ) ; z1_vs(:) = 1._wp / ( pa_i(:) * ph_s(:) ) |
---|
| 870 | ELSEWHERE ; z1_vs(:) = 0._wp |
---|
| 871 | END WHERE |
---|
| 872 | pt_i (:) = SUM( ptmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
| 873 | pt_s (:) = SUM( ptms (:,:) * pati(:,:) * phts(:,:), dim=2 ) * z1_vs(:) |
---|
| 874 | pt_su(:) = SUM( ptmsu(:,:) * pati(:,:) , dim=2 ) * z1_ai(:) |
---|
| 875 | ps_i (:) = SUM( psmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
| 876 | |
---|
| 877 | ! == ponds == ! |
---|
| 878 | pa_ip(:) = SUM( patip(:,:), dim=2 ) |
---|
[13472] | 879 | WHERE( pa_ip(:) /= 0._wp ) |
---|
| 880 | ph_ip(:) = SUM( phtip(:,:) * patip(:,:), dim=2 ) / pa_ip(:) |
---|
| 881 | ph_il(:) = SUM( phtil(:,:) * patip(:,:), dim=2 ) / pa_ip(:) |
---|
| 882 | ELSEWHERE |
---|
| 883 | ph_ip(:) = 0._wp |
---|
| 884 | ph_il(:) = 0._wp |
---|
[11536] | 885 | END WHERE |
---|
| 886 | ! |
---|
| 887 | DEALLOCATE( z1_ai, z1_vi, z1_vs ) |
---|
| 888 | ! |
---|
[11229] | 889 | END SUBROUTINE ice_var_itd_Nc1c |
---|
[14072] | 890 | |
---|
[13472] | 891 | SUBROUTINE ice_var_itd_1cMc( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
| 892 | & ptmi, ptms, ptmsu, psmi, patip, phtip, phtil, pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ) |
---|
[11229] | 893 | !!------------------------------------------------------------------- |
---|
[8586] | 894 | !! |
---|
[11229] | 895 | !! ** Purpose : converting 1-cat ice to jpl ice categories |
---|
[8586] | 896 | !! |
---|
| 897 | !! |
---|
[11560] | 898 | !! ** Method: ice thickness distribution follows a gamma function from Abraham et al. (2015) |
---|
| 899 | !! it has the property of conserving total concentration and volume |
---|
[8586] | 900 | !! |
---|
[14072] | 901 | !! |
---|
[11536] | 902 | !! ** Arguments : phti: 1-cat ice thickness |
---|
| 903 | !! phts: 1-cat snow depth |
---|
| 904 | !! pati: 1-cat ice concentration |
---|
[8586] | 905 | !! |
---|
[14072] | 906 | !! ** Output : jpl-cat |
---|
[8586] | 907 | !! |
---|
[11560] | 908 | !! Abraham, C., Steiner, N., Monahan, A. and Michel, C., 2015. |
---|
| 909 | !! Effects of subgrid‐scale snow thickness variability on radiative transfer in sea ice. |
---|
[14072] | 910 | !! Journal of Geophysical Research: Oceans, 120(8), pp.5597-5614 |
---|
[8586] | 911 | !!------------------------------------------------------------------- |
---|
[11536] | 912 | REAL(wp), DIMENSION(:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
---|
| 913 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
---|
[13472] | 914 | REAL(wp), DIMENSION(:) , INTENT(in) :: ptmi, ptms, ptmsu, psmi, patip, phtip, phtil ! input ice/snow temp & sal & ponds |
---|
| 915 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ! output ice/snow temp & sal & ponds |
---|
[11536] | 916 | ! |
---|
[11560] | 917 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: zfra, z1_hti |
---|
[11536] | 918 | INTEGER :: ji, jk, jl |
---|
[11560] | 919 | INTEGER :: idim |
---|
| 920 | REAL(wp) :: zv, zdh |
---|
[8586] | 921 | !!------------------------------------------------------------------- |
---|
| 922 | ! |
---|
[11536] | 923 | idim = SIZE( phti , 1 ) |
---|
[8813] | 924 | ! |
---|
[11536] | 925 | ph_i(1:idim,1:jpl) = 0._wp |
---|
| 926 | ph_s(1:idim,1:jpl) = 0._wp |
---|
| 927 | pa_i(1:idim,1:jpl) = 0._wp |
---|
| 928 | ! |
---|
[11560] | 929 | ALLOCATE( z1_hti(idim) ) |
---|
| 930 | WHERE( phti(:) /= 0._wp ) ; z1_hti(:) = 1._wp / phti(:) |
---|
| 931 | ELSEWHERE ; z1_hti(:) = 0._wp |
---|
| 932 | END WHERE |
---|
| 933 | ! |
---|
| 934 | ! == thickness and concentration == ! |
---|
| 935 | ! for categories 1:jpl-1, integrate the gamma function from hi_max(jl-1) to hi_max(jl) |
---|
| 936 | DO jl = 1, jpl-1 |
---|
| 937 | DO ji = 1, idim |
---|
| 938 | ! |
---|
| 939 | IF( phti(ji) > 0._wp ) THEN |
---|
| 940 | ! concentration : integrate ((4A/H^2)xexp(-2x/H))dx from x=hi_max(jl-1) to hi_max(jl) |
---|
| 941 | pa_i(ji,jl) = pati(ji) * z1_hti(ji) * ( ( phti(ji) + 2.*hi_max(jl-1) ) * EXP( -2.*hi_max(jl-1)*z1_hti(ji) ) & |
---|
| 942 | & - ( phti(ji) + 2.*hi_max(jl ) ) * EXP( -2.*hi_max(jl )*z1_hti(ji) ) ) |
---|
| 943 | ! |
---|
| 944 | ! volume : integrate ((4A/H^2)x^2exp(-2x/H))dx from x=hi_max(jl-1) to hi_max(jl) |
---|
| 945 | zv = pati(ji) * z1_hti(ji) * ( ( phti(ji)*phti(ji) + 2.*phti(ji)*hi_max(jl-1) + 2.*hi_max(jl-1)*hi_max(jl-1) ) & |
---|
| 946 | & * EXP( -2.*hi_max(jl-1)*z1_hti(ji) ) & |
---|
| 947 | & - ( phti(ji)*phti(ji) + 2.*phti(ji)*hi_max(jl) + 2.*hi_max(jl)*hi_max(jl) ) & |
---|
| 948 | & * EXP(-2.*hi_max(jl)*z1_hti(ji)) ) |
---|
| 949 | ! thickness |
---|
| 950 | IF( pa_i(ji,jl) > epsi06 ) THEN |
---|
| 951 | ph_i(ji,jl) = zv / pa_i(ji,jl) |
---|
| 952 | ELSE |
---|
| 953 | ph_i(ji,jl) = 0. |
---|
| 954 | pa_i(ji,jl) = 0. |
---|
| 955 | ENDIF |
---|
| 956 | ENDIF |
---|
| 957 | ! |
---|
| 958 | ENDDO |
---|
| 959 | ENDDO |
---|
| 960 | ! |
---|
| 961 | ! for the last category (jpl), integrate the gamma function from hi_max(jpl-1) to infinity |
---|
[8813] | 962 | DO ji = 1, idim |
---|
| 963 | ! |
---|
[11536] | 964 | IF( phti(ji) > 0._wp ) THEN |
---|
[11560] | 965 | ! concentration : integrate ((4A/H^2)xexp(-2x/H))dx from x=hi_max(jpl-1) to infinity |
---|
| 966 | pa_i(ji,jpl) = pati(ji) * z1_hti(ji) * ( phti(ji) + 2.*hi_max(jpl-1) ) * EXP( -2.*hi_max(jpl-1)*z1_hti(ji) ) |
---|
| 967 | |
---|
| 968 | ! volume : integrate ((4A/H^2)x^2exp(-2x/H))dx from x=hi_max(jpl-1) to infinity |
---|
| 969 | zv = pati(ji) * z1_hti(ji) * ( phti(ji)*phti(ji) + 2.*phti(ji)*hi_max(jpl-1) + 2.*hi_max(jpl-1)*hi_max(jpl-1) ) & |
---|
| 970 | & * EXP( -2.*hi_max(jpl-1)*z1_hti(ji) ) |
---|
| 971 | ! thickness |
---|
| 972 | IF( pa_i(ji,jpl) > epsi06 ) THEN |
---|
| 973 | ph_i(ji,jpl) = zv / pa_i(ji,jpl) |
---|
| 974 | else |
---|
| 975 | ph_i(ji,jpl) = 0. |
---|
| 976 | pa_i(ji,jpl) = 0. |
---|
| 977 | ENDIF |
---|
[8586] | 978 | ENDIF |
---|
[11560] | 979 | ! |
---|
| 980 | ENDDO |
---|
| 981 | ! |
---|
[11536] | 982 | ! Add Snow in each category where pa_i is not 0 |
---|
[8586] | 983 | DO jl = 1, jpl |
---|
[8813] | 984 | DO ji = 1, idim |
---|
[11536] | 985 | IF( pa_i(ji,jl) > 0._wp ) THEN |
---|
[11560] | 986 | ph_s(ji,jl) = ph_i(ji,jl) * phts(ji) * z1_hti(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) |
---|
[14072] | 989 | zdh = MAX( 0._wp, ( rhos * ph_s(ji,jl) + ( rhoi - rho0 ) * ph_i(ji,jl) ) * r1_rho0 ) |
---|
[8586] | 990 | ! recompute h_i, h_s avoiding out of bounds values |
---|
[11536] | 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 | ! |
---|
[11560] | 997 | DEALLOCATE( z1_hti ) |
---|
| 998 | ! |
---|
[11536] | 999 | ! == temperature and salinity == ! |
---|
| 1000 | DO jl = 1, jpl |
---|
| 1001 | pt_i (:,jl) = ptmi (:) |
---|
| 1002 | pt_s (:,jl) = ptms (:) |
---|
| 1003 | pt_su(:,jl) = ptmsu(:) |
---|
| 1004 | ps_i (:,jl) = psmi (:) |
---|
| 1005 | END DO |
---|
| 1006 | ! |
---|
| 1007 | ! == ponds == ! |
---|
| 1008 | ALLOCATE( zfra(idim) ) |
---|
| 1009 | ! keep the same pond fraction atip/ati for each category |
---|
| 1010 | WHERE( pati(:) /= 0._wp ) ; zfra(:) = patip(:) / pati(:) |
---|
| 1011 | ELSEWHERE ; zfra(:) = 0._wp |
---|
| 1012 | END WHERE |
---|
| 1013 | DO jl = 1, jpl |
---|
| 1014 | pa_ip(:,jl) = zfra(:) * pa_i(:,jl) |
---|
| 1015 | END DO |
---|
| 1016 | ! keep the same v_ip/v_i ratio for each category |
---|
| 1017 | WHERE( ( phti(:) * pati(:) ) /= 0._wp ) ; zfra(:) = ( phtip(:) * patip(:) ) / ( phti(:) * pati(:) ) |
---|
| 1018 | ELSEWHERE ; zfra(:) = 0._wp |
---|
| 1019 | END WHERE |
---|
| 1020 | DO jl = 1, jpl |
---|
| 1021 | WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_ip(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl) |
---|
| 1022 | ELSEWHERE ; ph_ip(:,jl) = 0._wp |
---|
| 1023 | END WHERE |
---|
| 1024 | END DO |
---|
[13472] | 1025 | ! keep the same v_il/v_i ratio for each category |
---|
| 1026 | WHERE( ( phti(:) * pati(:) ) /= 0._wp ) ; zfra(:) = ( phtil(:) * patip(:) ) / ( phti(:) * pati(:) ) |
---|
| 1027 | ELSEWHERE ; zfra(:) = 0._wp |
---|
| 1028 | END WHERE |
---|
| 1029 | DO jl = 1, jpl |
---|
| 1030 | WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_il(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl) |
---|
| 1031 | ELSEWHERE ; ph_il(:,jl) = 0._wp |
---|
| 1032 | END WHERE |
---|
| 1033 | END DO |
---|
[11536] | 1034 | DEALLOCATE( zfra ) |
---|
| 1035 | ! |
---|
[11229] | 1036 | END SUBROUTINE ice_var_itd_1cMc |
---|
[8586] | 1037 | |
---|
[13472] | 1038 | SUBROUTINE ice_var_itd_NcMc( phti, phts, pati , ph_i, ph_s, pa_i, & |
---|
| 1039 | & ptmi, ptms, ptmsu, psmi, patip, phtip, phtil, pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ) |
---|
[8586] | 1040 | !!------------------------------------------------------------------- |
---|
[8813] | 1041 | !! |
---|
| 1042 | !! ** Purpose : converting N-cat ice to jpl ice categories |
---|
| 1043 | !! |
---|
| 1044 | !! ice thickness distribution follows a gaussian law |
---|
| 1045 | !! around the concentration of the most likely ice thickness |
---|
| 1046 | !! (similar as iceistate.F90) |
---|
| 1047 | !! |
---|
| 1048 | !! ** Method: Iterative procedure |
---|
[14072] | 1049 | !! |
---|
[8813] | 1050 | !! 1) Fill ice cat that correspond to input thicknesses |
---|
| 1051 | !! Find the lowest(jlmin) and highest(jlmax) cat that are filled |
---|
| 1052 | !! |
---|
| 1053 | !! 2) Expand the filling to the cat jlmin-1 and jlmax+1 |
---|
[14072] | 1054 | !! by removing 25% ice area from jlmin and jlmax (resp.) |
---|
| 1055 | !! |
---|
| 1056 | !! 3) Expand the filling to the empty cat between jlmin and jlmax |
---|
[8813] | 1057 | !! by a) removing 25% ice area from the lower cat (ascendant loop jlmin=>jlmax) |
---|
| 1058 | !! b) removing 25% ice area from the higher cat (descendant loop jlmax=>jlmin) |
---|
| 1059 | !! |
---|
[11536] | 1060 | !! ** Arguments : phti: N-cat ice thickness |
---|
| 1061 | !! phts: N-cat snow depth |
---|
| 1062 | !! pati: N-cat ice concentration |
---|
[8813] | 1063 | !! |
---|
[14072] | 1064 | !! ** Output : jpl-cat |
---|
[8813] | 1065 | !! |
---|
[14072] | 1066 | !! (Example of application: BDY forcings when inputs have N-cat /= jpl) |
---|
[8813] | 1067 | !!------------------------------------------------------------------- |
---|
[11536] | 1068 | REAL(wp), DIMENSION(:,:), INTENT(in) :: phti, phts, pati ! input ice/snow variables |
---|
| 1069 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: ph_i, ph_s, pa_i ! output ice/snow variables |
---|
[13472] | 1070 | REAL(wp), DIMENSION(:,:), INTENT(in) :: ptmi, ptms, ptmsu, psmi, patip, phtip, phtil ! input ice/snow temp & sal & ponds |
---|
| 1071 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pt_i, pt_s, pt_su, ps_i, pa_ip, ph_ip, ph_il ! output ice/snow temp & sal & ponds |
---|
[11536] | 1072 | ! |
---|
| 1073 | INTEGER , ALLOCATABLE, DIMENSION(:,:) :: jlfil, jlfil2 |
---|
| 1074 | INTEGER , ALLOCATABLE, DIMENSION(:) :: jlmax, jlmin |
---|
| 1075 | REAL(wp), ALLOCATABLE, DIMENSION(:) :: z1_ai, z1_vi, z1_vs, ztmp, zfra |
---|
| 1076 | ! |
---|
| 1077 | REAL(wp), PARAMETER :: ztrans = 0.25_wp |
---|
| 1078 | INTEGER :: ji, jl, jl1, jl2 |
---|
[14072] | 1079 | INTEGER :: idim, icat |
---|
[8813] | 1080 | !!------------------------------------------------------------------- |
---|
| 1081 | ! |
---|
[11536] | 1082 | idim = SIZE( phti, 1 ) |
---|
| 1083 | icat = SIZE( phti, 2 ) |
---|
| 1084 | ! |
---|
| 1085 | ! == thickness and concentration == ! |
---|
[11229] | 1086 | ! ! ---------------------- ! |
---|
| 1087 | IF( icat == jpl ) THEN ! input cat = output cat ! |
---|
| 1088 | ! ! ---------------------- ! |
---|
[11536] | 1089 | ph_i(:,:) = phti(:,:) |
---|
| 1090 | ph_s(:,:) = phts(:,:) |
---|
| 1091 | pa_i(:,:) = pati(:,:) |
---|
| 1092 | ! |
---|
| 1093 | ! == temperature and salinity and ponds == ! |
---|
| 1094 | pt_i (:,:) = ptmi (:,:) |
---|
| 1095 | pt_s (:,:) = ptms (:,:) |
---|
| 1096 | pt_su(:,:) = ptmsu(:,:) |
---|
| 1097 | ps_i (:,:) = psmi (:,:) |
---|
| 1098 | pa_ip(:,:) = patip(:,:) |
---|
| 1099 | ph_ip(:,:) = phtip(:,:) |
---|
[13472] | 1100 | ph_il(:,:) = phtil(:,:) |
---|
[11229] | 1101 | ! ! ---------------------- ! |
---|
| 1102 | ELSEIF( icat == 1 ) THEN ! input cat = 1 ! |
---|
| 1103 | ! ! ---------------------- ! |
---|
[11536] | 1104 | CALL ice_var_itd_1cMc( phti(:,1), phts(:,1), pati (:,1), & |
---|
| 1105 | & ph_i(:,:), ph_s(:,:), pa_i (:,:), & |
---|
[13472] | 1106 | & ptmi(:,1), ptms(:,1), ptmsu(:,1), psmi(:,1), patip(:,1), phtip(:,1), phtil(:,1), & |
---|
| 1107 | & pt_i(:,:), pt_s(:,:), pt_su(:,:), ps_i(:,:), pa_ip(:,:), ph_ip(:,:), ph_il(:,:) ) |
---|
[11229] | 1108 | ! ! ---------------------- ! |
---|
| 1109 | ELSEIF( jpl == 1 ) THEN ! output cat = 1 ! |
---|
| 1110 | ! ! ---------------------- ! |
---|
[11536] | 1111 | CALL ice_var_itd_Nc1c( phti(:,:), phts(:,:), pati (:,:), & |
---|
| 1112 | & ph_i(:,1), ph_s(:,1), pa_i (:,1), & |
---|
[13472] | 1113 | & ptmi(:,:), ptms(:,:), ptmsu(:,:), psmi(:,:), patip(:,:), phtip(:,:), phtil(:,:), & |
---|
| 1114 | & pt_i(:,1), pt_s(:,1), pt_su(:,1), ps_i(:,1), pa_ip(:,1), ph_ip(:,1), ph_il(:,1) ) |
---|
[11229] | 1115 | ! ! ----------------------- ! |
---|
| 1116 | ELSE ! input cat /= output cat ! |
---|
| 1117 | ! ! ----------------------- ! |
---|
[14072] | 1118 | |
---|
[11229] | 1119 | ALLOCATE( jlfil(idim,jpl), jlfil2(idim,jpl) ) ! allocate arrays |
---|
| 1120 | ALLOCATE( jlmin(idim), jlmax(idim) ) |
---|
[8813] | 1121 | |
---|
[11229] | 1122 | ! --- initialize output fields to 0 --- ! |
---|
[11536] | 1123 | ph_i(1:idim,1:jpl) = 0._wp |
---|
| 1124 | ph_s(1:idim,1:jpl) = 0._wp |
---|
| 1125 | pa_i(1:idim,1:jpl) = 0._wp |
---|
[11229] | 1126 | ! |
---|
| 1127 | ! --- fill the categories --- ! |
---|
[14072] | 1128 | ! find where cat-input = cat-output and fill cat-output fields |
---|
[11229] | 1129 | jlmax(:) = 0 |
---|
| 1130 | jlmin(:) = 999 |
---|
| 1131 | jlfil(:,:) = 0 |
---|
| 1132 | DO jl1 = 1, jpl |
---|
| 1133 | DO jl2 = 1, icat |
---|
| 1134 | DO ji = 1, idim |
---|
[11536] | 1135 | IF( hi_max(jl1-1) <= phti(ji,jl2) .AND. hi_max(jl1) > phti(ji,jl2) ) THEN |
---|
[11229] | 1136 | ! fill the right category |
---|
[11536] | 1137 | ph_i(ji,jl1) = phti(ji,jl2) |
---|
| 1138 | ph_s(ji,jl1) = phts(ji,jl2) |
---|
| 1139 | pa_i(ji,jl1) = pati(ji,jl2) |
---|
[11229] | 1140 | ! record categories that are filled |
---|
| 1141 | jlmax(ji) = MAX( jlmax(ji), jl1 ) |
---|
| 1142 | jlmin(ji) = MIN( jlmin(ji), jl1 ) |
---|
| 1143 | jlfil(ji,jl1) = jl1 |
---|
| 1144 | ENDIF |
---|
| 1145 | END DO |
---|
[8813] | 1146 | END DO |
---|
| 1147 | END DO |
---|
[11229] | 1148 | ! |
---|
[14072] | 1149 | ! --- fill the gaps between categories --- ! |
---|
[11229] | 1150 | ! transfer from categories filled at the previous step to the empty ones in between |
---|
[8813] | 1151 | DO ji = 1, idim |
---|
[11229] | 1152 | jl1 = jlmin(ji) |
---|
| 1153 | jl2 = jlmax(ji) |
---|
| 1154 | IF( jl1 > 1 ) THEN |
---|
| 1155 | ! fill the lower cat (jl1-1) |
---|
[11536] | 1156 | pa_i(ji,jl1-1) = ztrans * pa_i(ji,jl1) |
---|
| 1157 | ph_i(ji,jl1-1) = hi_mean(jl1-1) |
---|
[11229] | 1158 | ! remove from cat jl1 |
---|
[11536] | 1159 | pa_i(ji,jl1 ) = ( 1._wp - ztrans ) * pa_i(ji,jl1) |
---|
[8813] | 1160 | ENDIF |
---|
[11229] | 1161 | IF( jl2 < jpl ) THEN |
---|
| 1162 | ! fill the upper cat (jl2+1) |
---|
[11536] | 1163 | pa_i(ji,jl2+1) = ztrans * pa_i(ji,jl2) |
---|
| 1164 | ph_i(ji,jl2+1) = hi_mean(jl2+1) |
---|
[11229] | 1165 | ! remove from cat jl2 |
---|
[11536] | 1166 | pa_i(ji,jl2 ) = ( 1._wp - ztrans ) * pa_i(ji,jl2) |
---|
[8813] | 1167 | ENDIF |
---|
| 1168 | END DO |
---|
[11229] | 1169 | ! |
---|
[14072] | 1170 | jlfil2(:,:) = jlfil(:,:) |
---|
[11229] | 1171 | ! fill categories from low to high |
---|
| 1172 | DO jl = 2, jpl-1 |
---|
| 1173 | DO ji = 1, idim |
---|
| 1174 | IF( jlfil(ji,jl-1) /= 0 .AND. jlfil(ji,jl) == 0 ) THEN |
---|
| 1175 | ! fill high |
---|
[11536] | 1176 | pa_i(ji,jl) = ztrans * pa_i(ji,jl-1) |
---|
| 1177 | ph_i(ji,jl) = hi_mean(jl) |
---|
[11229] | 1178 | jlfil(ji,jl) = jl |
---|
| 1179 | ! remove low |
---|
[11536] | 1180 | pa_i(ji,jl-1) = ( 1._wp - ztrans ) * pa_i(ji,jl-1) |
---|
[11229] | 1181 | ENDIF |
---|
| 1182 | END DO |
---|
[8586] | 1183 | END DO |
---|
[11229] | 1184 | ! |
---|
| 1185 | ! fill categories from high to low |
---|
| 1186 | DO jl = jpl-1, 2, -1 |
---|
| 1187 | DO ji = 1, idim |
---|
| 1188 | IF( jlfil2(ji,jl+1) /= 0 .AND. jlfil2(ji,jl) == 0 ) THEN |
---|
| 1189 | ! fill low |
---|
[11536] | 1190 | pa_i(ji,jl) = pa_i(ji,jl) + ztrans * pa_i(ji,jl+1) |
---|
[14072] | 1191 | ph_i(ji,jl) = hi_mean(jl) |
---|
[11229] | 1192 | jlfil2(ji,jl) = jl |
---|
| 1193 | ! remove high |
---|
[11536] | 1194 | pa_i(ji,jl+1) = ( 1._wp - ztrans ) * pa_i(ji,jl+1) |
---|
[11229] | 1195 | ENDIF |
---|
| 1196 | END DO |
---|
[8984] | 1197 | END DO |
---|
[10332] | 1198 | ! |
---|
[11229] | 1199 | DEALLOCATE( jlfil, jlfil2 ) ! deallocate arrays |
---|
| 1200 | DEALLOCATE( jlmin, jlmax ) |
---|
[10332] | 1201 | ! |
---|
[11536] | 1202 | ! == temperature and salinity == ! |
---|
| 1203 | ! |
---|
| 1204 | ALLOCATE( z1_ai(idim), z1_vi(idim), z1_vs(idim), ztmp(idim) ) |
---|
| 1205 | ! |
---|
| 1206 | WHERE( SUM( pa_i(:,:), dim=2 ) /= 0._wp ) ; z1_ai(:) = 1._wp / SUM( pa_i(:,:), dim=2 ) |
---|
| 1207 | ELSEWHERE ; z1_ai(:) = 0._wp |
---|
| 1208 | END WHERE |
---|
| 1209 | WHERE( SUM( pa_i(:,:) * ph_i(:,:), dim=2 ) /= 0._wp ) ; z1_vi(:) = 1._wp / SUM( pa_i(:,:) * ph_i(:,:), dim=2 ) |
---|
| 1210 | ELSEWHERE ; z1_vi(:) = 0._wp |
---|
| 1211 | END WHERE |
---|
| 1212 | WHERE( SUM( pa_i(:,:) * ph_s(:,:), dim=2 ) /= 0._wp ) ; z1_vs(:) = 1._wp / SUM( pa_i(:,:) * ph_s(:,:), dim=2 ) |
---|
| 1213 | ELSEWHERE ; z1_vs(:) = 0._wp |
---|
| 1214 | END WHERE |
---|
| 1215 | ! |
---|
| 1216 | ! fill all the categories with the same value |
---|
| 1217 | ztmp(:) = SUM( ptmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
| 1218 | DO jl = 1, jpl |
---|
| 1219 | pt_i (:,jl) = ztmp(:) |
---|
| 1220 | END DO |
---|
| 1221 | ztmp(:) = SUM( ptms (:,:) * pati(:,:) * phts(:,:), dim=2 ) * z1_vs(:) |
---|
| 1222 | DO jl = 1, jpl |
---|
| 1223 | pt_s (:,jl) = ztmp(:) |
---|
| 1224 | END DO |
---|
| 1225 | ztmp(:) = SUM( ptmsu(:,:) * pati(:,:) , dim=2 ) * z1_ai(:) |
---|
| 1226 | DO jl = 1, jpl |
---|
| 1227 | pt_su(:,jl) = ztmp(:) |
---|
| 1228 | END DO |
---|
| 1229 | ztmp(:) = SUM( psmi (:,:) * pati(:,:) * phti(:,:), dim=2 ) * z1_vi(:) |
---|
| 1230 | DO jl = 1, jpl |
---|
| 1231 | ps_i (:,jl) = ztmp(:) |
---|
| 1232 | END DO |
---|
| 1233 | ! |
---|
| 1234 | DEALLOCATE( z1_ai, z1_vi, z1_vs, ztmp ) |
---|
| 1235 | ! |
---|
| 1236 | ! == ponds == ! |
---|
| 1237 | ALLOCATE( zfra(idim) ) |
---|
| 1238 | ! keep the same pond fraction atip/ati for each category |
---|
| 1239 | WHERE( SUM( pati(:,:), dim=2 ) /= 0._wp ) ; zfra(:) = SUM( patip(:,:), dim=2 ) / SUM( pati(:,:), dim=2 ) |
---|
| 1240 | ELSEWHERE ; zfra(:) = 0._wp |
---|
| 1241 | END WHERE |
---|
| 1242 | DO jl = 1, jpl |
---|
| 1243 | pa_ip(:,jl) = zfra(:) * pa_i(:,jl) |
---|
| 1244 | END DO |
---|
| 1245 | ! keep the same v_ip/v_i ratio for each category |
---|
| 1246 | WHERE( SUM( phti(:,:) * pati(:,:), dim=2 ) /= 0._wp ) |
---|
| 1247 | zfra(:) = SUM( phtip(:,:) * patip(:,:), dim=2 ) / SUM( phti(:,:) * pati(:,:), dim=2 ) |
---|
| 1248 | ELSEWHERE |
---|
| 1249 | zfra(:) = 0._wp |
---|
| 1250 | END WHERE |
---|
| 1251 | DO jl = 1, jpl |
---|
| 1252 | WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_ip(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl) |
---|
| 1253 | ELSEWHERE ; ph_ip(:,jl) = 0._wp |
---|
| 1254 | END WHERE |
---|
| 1255 | END DO |
---|
[13472] | 1256 | ! keep the same v_il/v_i ratio for each category |
---|
| 1257 | WHERE( SUM( phti(:,:) * pati(:,:), dim=2 ) /= 0._wp ) |
---|
| 1258 | zfra(:) = SUM( phtil(:,:) * patip(:,:), dim=2 ) / SUM( phti(:,:) * pati(:,:), dim=2 ) |
---|
| 1259 | ELSEWHERE |
---|
| 1260 | zfra(:) = 0._wp |
---|
| 1261 | END WHERE |
---|
| 1262 | DO jl = 1, jpl |
---|
| 1263 | WHERE( pa_ip(:,jl) /= 0._wp ) ; ph_il(:,jl) = zfra(:) * ( ph_i(:,jl) * pa_i(:,jl) ) / pa_ip(:,jl) |
---|
| 1264 | ELSEWHERE ; ph_il(:,jl) = 0._wp |
---|
| 1265 | END WHERE |
---|
| 1266 | END DO |
---|
[11536] | 1267 | DEALLOCATE( zfra ) |
---|
| 1268 | ! |
---|
[10332] | 1269 | ENDIF |
---|
| 1270 | ! |
---|
[11229] | 1271 | END SUBROUTINE ice_var_itd_NcMc |
---|
[10332] | 1272 | |
---|
[13472] | 1273 | !!------------------------------------------------------------------- |
---|
| 1274 | !! INTERFACE ice_var_snwfra |
---|
| 1275 | !! |
---|
| 1276 | !! ** Purpose : fraction of ice covered by snow |
---|
| 1277 | !! |
---|
| 1278 | !! ** Method : In absence of proper snow model on top of sea ice, |
---|
| 1279 | !! we argue that snow does not cover the whole ice because |
---|
| 1280 | !! of wind blowing... |
---|
[14072] | 1281 | !! |
---|
[13472] | 1282 | !! ** Arguments : ph_s: snow thickness |
---|
[14072] | 1283 | !! |
---|
[13472] | 1284 | !! ** Output : pa_s_fra: fraction of ice covered by snow |
---|
| 1285 | !! |
---|
| 1286 | !!------------------------------------------------------------------- |
---|
| 1287 | SUBROUTINE ice_var_snwfra_3d( ph_s, pa_s_fra ) |
---|
| 1288 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: ph_s ! snow thickness |
---|
| 1289 | REAL(wp), DIMENSION(:,:,:), INTENT( out) :: pa_s_fra ! ice fraction covered by snow |
---|
| 1290 | IF ( nn_snwfra == 0 ) THEN ! basic 0 or 1 snow cover |
---|
| 1291 | WHERE( ph_s > 0._wp ) ; pa_s_fra = 1._wp |
---|
| 1292 | ELSEWHERE ; pa_s_fra = 0._wp |
---|
| 1293 | END WHERE |
---|
| 1294 | ELSEIF( nn_snwfra == 1 ) THEN ! snow cover depends on hsnow (met-office style) |
---|
| 1295 | pa_s_fra = 1._wp - EXP( -0.2_wp * rhos * ph_s ) |
---|
| 1296 | ELSEIF( nn_snwfra == 2 ) THEN ! snow cover depends on hsnow (cice style) |
---|
| 1297 | pa_s_fra = ph_s / ( ph_s + 0.02_wp ) |
---|
| 1298 | ENDIF |
---|
| 1299 | END SUBROUTINE ice_var_snwfra_3d |
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| 1300 | |
---|
| 1301 | SUBROUTINE ice_var_snwfra_2d( ph_s, pa_s_fra ) |
---|
| 1302 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: ph_s ! snow thickness |
---|
| 1303 | REAL(wp), DIMENSION(:,:), INTENT( out) :: pa_s_fra ! ice fraction covered by snow |
---|
| 1304 | IF ( nn_snwfra == 0 ) THEN ! basic 0 or 1 snow cover |
---|
| 1305 | WHERE( ph_s > 0._wp ) ; pa_s_fra = 1._wp |
---|
| 1306 | ELSEWHERE ; pa_s_fra = 0._wp |
---|
| 1307 | END WHERE |
---|
| 1308 | ELSEIF( nn_snwfra == 1 ) THEN ! snow cover depends on hsnow (met-office style) |
---|
| 1309 | pa_s_fra = 1._wp - EXP( -0.2_wp * rhos * ph_s ) |
---|
| 1310 | ELSEIF( nn_snwfra == 2 ) THEN ! snow cover depends on hsnow (cice style) |
---|
| 1311 | pa_s_fra = ph_s / ( ph_s + 0.02_wp ) |
---|
| 1312 | ENDIF |
---|
| 1313 | END SUBROUTINE ice_var_snwfra_2d |
---|
| 1314 | |
---|
| 1315 | SUBROUTINE ice_var_snwfra_1d( ph_s, pa_s_fra ) |
---|
| 1316 | REAL(wp), DIMENSION(:), INTENT(in ) :: ph_s ! snow thickness |
---|
| 1317 | REAL(wp), DIMENSION(:), INTENT( out) :: pa_s_fra ! ice fraction covered by snow |
---|
| 1318 | IF ( nn_snwfra == 0 ) THEN ! basic 0 or 1 snow cover |
---|
| 1319 | WHERE( ph_s > 0._wp ) ; pa_s_fra = 1._wp |
---|
| 1320 | ELSEWHERE ; pa_s_fra = 0._wp |
---|
| 1321 | END WHERE |
---|
| 1322 | ELSEIF( nn_snwfra == 1 ) THEN ! snow cover depends on hsnow (met-office style) |
---|
| 1323 | pa_s_fra = 1._wp - EXP( -0.2_wp * rhos * ph_s ) |
---|
| 1324 | ELSEIF( nn_snwfra == 2 ) THEN ! snow cover depends on hsnow (cice style) |
---|
| 1325 | pa_s_fra = ph_s / ( ph_s + 0.02_wp ) |
---|
| 1326 | ENDIF |
---|
| 1327 | END SUBROUTINE ice_var_snwfra_1d |
---|
[14072] | 1328 | |
---|
[13472] | 1329 | !!-------------------------------------------------------------------------- |
---|
| 1330 | !! INTERFACE ice_var_snwblow |
---|
| 1331 | !! |
---|
| 1332 | !! ** Purpose : Compute distribution of precip over the ice |
---|
| 1333 | !! |
---|
| 1334 | !! Snow accumulation in one thermodynamic time step |
---|
| 1335 | !! snowfall is partitionned between leads and ice. |
---|
| 1336 | !! If snow fall was uniform, a fraction (1-at_i) would fall into leads |
---|
| 1337 | !! but because of the winds, more snow falls on leads than on sea ice |
---|
[14072] | 1338 | !! and a greater fraction (1-at_i)^beta of the total mass of snow |
---|
[13472] | 1339 | !! (beta < 1) falls in leads. |
---|
[14072] | 1340 | !! In reality, beta depends on wind speed, |
---|
| 1341 | !! and should decrease with increasing wind speed but here, it is |
---|
[13472] | 1342 | !! considered as a constant. an average value is 0.66 |
---|
| 1343 | !!-------------------------------------------------------------------------- |
---|
| 1344 | !!gm I think it can be usefull to set this as a FUNCTION, not a SUBROUTINE.... |
---|
| 1345 | SUBROUTINE ice_var_snwblow_2d( pin, pout ) |
---|
| 1346 | REAL(wp), DIMENSION(:,:), INTENT(in ) :: pin ! previous fraction lead ( 1. - a_i_b ) |
---|
| 1347 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pout |
---|
| 1348 | pout = ( 1._wp - ( pin )**rn_snwblow ) |
---|
| 1349 | END SUBROUTINE ice_var_snwblow_2d |
---|
| 1350 | |
---|
| 1351 | SUBROUTINE ice_var_snwblow_1d( pin, pout ) |
---|
| 1352 | REAL(wp), DIMENSION(:), INTENT(in ) :: pin |
---|
| 1353 | REAL(wp), DIMENSION(:), INTENT(inout) :: pout |
---|
| 1354 | pout = ( 1._wp - ( pin )**rn_snwblow ) |
---|
| 1355 | END SUBROUTINE ice_var_snwblow_1d |
---|
| 1356 | |
---|
[8586] | 1357 | #else |
---|
| 1358 | !!---------------------------------------------------------------------- |
---|
[9570] | 1359 | !! Default option Dummy module NO SI3 sea-ice model |
---|
[8586] | 1360 | !!---------------------------------------------------------------------- |
---|
| 1361 | #endif |
---|
| 1362 | |
---|
| 1363 | !!====================================================================== |
---|
| 1364 | END MODULE icevar |
---|