| 1 | MODULE limsbc_2 |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limsbc_2 *** |
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| 4 | !! computation of the flux at the sea ice/ocean interface |
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| 5 | !!====================================================================== |
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| 6 | !! History : 1.0 ! 2000-01 (H. Goosse) Original code |
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| 7 | !! 2.0 ! 2002-07 (C. Ethe, G. Madec) re-writing F90 |
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| 8 | !! - ! 2006-07 (G. Madec) surface module |
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| 9 | !! - ! 2008-07 (C. Talandier,G. Madec) 2D fields for soce and sice |
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| 10 | !! 2.1 ! 2010-05 (Y. Aksenov G. Madec) salt flux + heat associated with emp |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | #if defined key_lim2 |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! 'key_lim2' LIM 2.0 sea-ice model |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! lim_sbc_2 : flux at the ice / ocean interface |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | USE par_oce ! ocean parameters |
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| 19 | USE dom_oce ! ocean domain |
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| 20 | USE sbc_ice ! ice surface boundary condition |
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| 21 | USE sbc_oce ! ocean surface boundary condition |
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| 22 | USE phycst ! physical constants |
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| 23 | USE albedo ! albedo parameters |
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| 24 | USE ice_2 ! LIM-2 sea-ice variables |
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| 25 | |
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| 26 | USE lbclnk ! ocean lateral boundary condition |
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| 27 | USE in_out_manager ! I/O manager |
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| 28 | USE iom ! |
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| 29 | USE prtctl ! Print control |
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| 30 | USE diaar5, ONLY : lk_diaar5 |
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| 31 | USE cpl_oasis3, ONLY : lk_cpl |
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| 32 | |
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| 33 | IMPLICIT NONE |
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| 34 | PRIVATE |
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| 35 | |
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| 36 | PUBLIC lim_sbc_2 ! called by sbc_ice_lim_2 |
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| 37 | |
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| 38 | REAL(wp) :: epsi16 = 1.e-16 ! constant values |
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| 39 | REAL(wp) :: rzero = 0.e0 |
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| 40 | REAL(wp) :: rone = 1.e0 |
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| 41 | REAL(wp), DIMENSION(jpi,jpj) :: soce_r, sice_r ! ocean and ice 2D constant salinity fields (used if lk_vvl=F) |
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| 42 | |
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| 43 | !! * Substitutions |
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| 44 | # include "vectopt_loop_substitute.h90" |
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| 45 | !!---------------------------------------------------------------------- |
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| 46 | !! NEMO/LIM 3.3, UCL-LOCEAN-IPSL (2010) |
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| 47 | !! $Id$ |
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| 48 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 49 | !!---------------------------------------------------------------------- |
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| 50 | |
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| 51 | CONTAINS |
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| 52 | |
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| 53 | SUBROUTINE lim_sbc_2( kt ) |
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| 54 | !!------------------------------------------------------------------- |
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| 55 | !! *** ROUTINE lim_sbc_2 *** |
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| 56 | !! |
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| 57 | !! ** Purpose : Update surface ocean boundary condition over areas |
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| 58 | !! that are at least partially covered by sea-ice |
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| 59 | !! |
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| 60 | !! ** Action : - comput. of the momentum, heat and freshwater/salt |
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| 61 | !! fluxes at the ice-ocean interface. |
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| 62 | !! - Update |
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| 63 | !! |
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| 64 | !! ** Outputs : - qsr : solar heat flux |
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| 65 | !! - qns : non-solar heat flux including heat content of mass flux |
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| 66 | !! - emp : mass flux |
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| 67 | !! - emps : salt flux due to Freezing/Melting |
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| 68 | !! - utau : sea surface i-stress (ocean referential) |
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| 69 | !! - vtau : sea surface j-stress (ocean referential) |
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| 70 | !! - fr_i : ice fraction |
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| 71 | !! - tn_ice : sea-ice surface temperature |
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| 72 | !! - alb_ice : sea-ice alberdo (lk_cpl=T) |
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| 73 | !! |
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| 74 | !! References : Goosse, H. et al. 1996, Bul. Soc. Roy. Sc. Liege, 65, 87-90. |
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| 75 | !! Tartinville et al. 2001 Ocean Modelling, 3, 95-108. |
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| 76 | !!--------------------------------------------------------------------- |
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| 77 | INTEGER, INTENT(in) :: kt ! number of iteration |
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| 78 | !! |
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| 79 | INTEGER :: ji, jj ! dummy loop indices |
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| 80 | INTEGER :: ifvt, idfr , iadv, i1mfr ! local integers |
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| 81 | INTEGER :: iflt, ifrdv, ial , ifral ! - - |
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| 82 | INTEGER :: ii0, ii1, ij0, ij1 ! - - |
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| 83 | REAL(wp) :: zqsr, zqns, zqhc, zemp ! local scalars |
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| 84 | REAL(wp) :: zinda, zswitch, zcd ! - - |
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| 85 | REAL(wp) :: zfrldu, zutau, zu_io ! - - |
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| 86 | REAL(wp) :: zfrldv, zvtau, zv_io ! - - |
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| 87 | REAL(wp) :: zemp_snw, zfmm, zfsalt ! - - |
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| 88 | REAL(wp) :: zsang, zmod, zztmp, zfm |
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| 89 | REAL(wp), DIMENSION(jpi,jpj,1) :: zalb, zalbp ! 3D workspace |
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| 90 | REAL(wp), DIMENSION(jpi,jpj) :: ztio_u, ztio_v ! 2D workspace |
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| 91 | REAL(wp), DIMENSION(jpi,jpj) :: ztiomi, zqnsoce ! - - |
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| 92 | !!--------------------------------------------------------------------- |
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| 93 | |
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| 94 | IF( kt == nit000 ) THEN |
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| 95 | IF(lwp) WRITE(numout,*) |
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| 96 | IF(lwp) WRITE(numout,*) 'lim_sbc_2 : LIM 2.0 sea-ice - surface boundary condition' |
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| 97 | IF(lwp) WRITE(numout,*) '~~~~~~~~~ ' |
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| 98 | ! ! 2D fields for constant ice and ocean salinities |
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| 99 | soce_r(:,:) = soce ! in order to use different value in the Baltic sea |
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| 100 | sice_r(:,:) = sice ! which is much less salty than polar regions |
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| 101 | ! |
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| 102 | IF( cp_cfg == "orca" ) THEN ! ORCA configuration |
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| 103 | IF( jp_cfg == 2 ) THEN ! ORCA_R2 configuration |
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| 104 | ii0 = 145 ; ii1 = 180 ! Baltic Sea |
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| 105 | ij0 = 113 ; ij1 = 130 ; soce_r(mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) ) = 4.e0 |
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| 106 | sice_r(mi0(ii0):mi1(ii1) , mj0(ij0):mj1(ij1) ) = 0.50 |
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| 107 | !!gm add here the R1 R05 and R025 cases |
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| 108 | !! ELSEIF( jp_cfg == 1 ) THEN ! ORCA_R1 configuration |
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| 109 | !! ELSEIF( jp_cfg == 05 ) THEN ! ORCA_R05 configuration |
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| 110 | !! ELSEIF( jp_cfg == 025 ) THEN ! ORCA_R025 configuration |
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| 111 | !! |
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| 112 | !!gm or better introduce the baltic change as a function of lat/lon of the baltic sea |
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| 113 | !!end gm |
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| 114 | ENDIF |
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| 115 | ENDIF |
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| 116 | ! |
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| 117 | ENDIF |
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| 118 | |
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| 119 | zqnsoce(:,:) = qns(:,:) ! save non-solar flux prior to its modification by ice-ocean fluxes (diag.) |
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| 120 | ! |
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| 121 | zswitch = 1 ! standard levitating sea-ice : salt exchange only |
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| 122 | ! |
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| 123 | !!gm ice embedment |
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| 124 | ! SELECT CASE( nn_ice_embd ) ! levitating/embedded sea-ice |
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| 125 | ! CASE( 0 ) ; zswitch = 1 ! standard levitating sea-ice : salt exchange only |
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| 126 | ! CASE( 1, 2 ) ; zswitch = 0 ! other levitating sea-ice or embedded sea-ice : salt and volume fluxes |
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| 127 | ! END SELECT ! |
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| 128 | !!gm end embedment |
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| 129 | |
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| 130 | DO jj = 1, jpj |
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| 131 | DO ji = 1, jpi |
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| 132 | ! !------------------------------------------! |
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| 133 | ! ! heat flux at the ocean surface ! |
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| 134 | ! !------------------------------------------! |
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| 135 | zinda = 1.0 - MAX( rzero , SIGN( rone, - ( 1.0 - pfrld(ji,jj) ) ) ) |
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| 136 | ifvt = zinda * MAX( rzero , SIGN( rone, - phicif(ji,jj) ) ) |
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| 137 | i1mfr = 1.0 - MAX( rzero , SIGN( rone, - ( 1.0 - frld(ji,jj) ) ) ) |
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| 138 | idfr = 1.0 - MAX( rzero , SIGN( rone, frld(ji,jj) - pfrld(ji,jj) ) ) |
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| 139 | iflt = zinda * (1 - i1mfr) * (1 - ifvt ) |
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| 140 | ial = ifvt * i1mfr + ( 1 - ifvt ) * idfr |
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| 141 | iadv = ( 1 - i1mfr ) * zinda |
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| 142 | ifral = ( 1 - i1mfr * ( 1 - ial ) ) |
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| 143 | ifrdv = ( 1 - ifral * ( 1 - ial ) ) * iadv |
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| 144 | |
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| 145 | !!gm attempt to understand and comment the tricky flags used here.... |
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| 146 | ! |
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| 147 | !gm zinda = 1.0 - AINT( pfrld(ji,jj) ) ! = 0. free-ice ocean else 1. (after ice adv, but before ice thermo) |
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| 148 | !gm i1mfr = 1.0 - AINT( frld(ji,jj) ) ! = 0. free-ice ocean else 1. (after ice thermo) |
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| 149 | ! |
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| 150 | !gm IF( phicif(ji,jj) <= 0. ) THEN ; ifvt = zinda ! = 1. if (snow and no ice at previous time) else 0. ??? |
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| 151 | !gm ELSE ; ifvt = 0. ! correspond to a overmelting of snow in surface ablation |
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| 152 | !gm ENDIF ! |
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| 153 | ! |
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| 154 | !gm IF( frld(ji,jj) >= pfrld(ji,jj) ) THEN ; idfr = 0. ! = 0. if lead fraction increases due to ice thermo |
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| 155 | !gm ELSE ; idfr = 1. |
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| 156 | !gm ENDIF |
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| 157 | ! |
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| 158 | !!$ iflt = zinda * (1 - i1mfr) * (1 - ifvt ) ! = 1. if ice (not only snow) at previous and pure ocean at current |
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| 159 | ! |
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| 160 | !!$ ial = ifvt * i1mfr + ( 1 - ifvt ) * idfr |
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| 161 | !!$! snow no ice ice ice or nothing lead fraction increases |
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| 162 | !!$! at previous now at previous |
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| 163 | !!$! -> ice aera increases ??? -> ice aera decreases ??? |
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| 164 | ! |
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| 165 | !!$ iadv = ( 1 - i1mfr ) * zinda |
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| 166 | !!$! pure ocean ice at |
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| 167 | !!$! at current previous |
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| 168 | !!$! -> = 1. if ice disapear between previous and current |
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| 169 | ! |
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| 170 | !!$ ifral = ( 1 - i1mfr * ( 1 - ial ) ) |
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| 171 | !!$! ice at ??? |
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| 172 | !!$! current |
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| 173 | !!$! -> ??? |
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| 174 | ! |
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| 175 | !!$ ifrdv = ( 1 - ifral * ( 1 - ial ) ) * iadv |
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| 176 | !!$! ice disapear |
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| 177 | ! |
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| 178 | ! |
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| 179 | ! - computation the solar flux at ocean surface |
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| 180 | #if defined key_coupled |
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| 181 | zqsr = qsr_tot(ji,jj) + ( fstric(ji,jj) - qsr_ice(ji,jj,1) ) * ( 1.0 - pfrld(ji,jj) ) |
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| 182 | #else |
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| 183 | zqsr = pfrld(ji,jj) * qsr(ji,jj) + ( 1. - pfrld(ji,jj) ) * fstric(ji,jj) |
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| 184 | #endif |
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| 185 | ! |
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| 186 | ! - computation the non solar heat flux at ocean surface |
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| 187 | zqns = - ( 1. - thcm(ji,jj) ) * zqsr & ! part of the solar energy used in leads |
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| 188 | & + iflt * ( fscmbq(ji,jj) + ffltbif(ji,jj) ) & |
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| 189 | & + ifral * ( ial * qcmif(ji,jj) + (1 - ial) * qldif(ji,jj) ) * r1_rdt_ice & |
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| 190 | & + ifrdv * ( qfvbq(ji,jj) + qdtcn(ji,jj) ) * r1_rdt_ice |
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| 191 | |
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| 192 | ! - store residual heat flux (put in the ocean at the next time-step) |
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| 193 | fsbbq(ji,jj) = ( 1.0 - ( ifvt + iflt ) ) * fscmbq(ji,jj) ! ??? |
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| 194 | ! |
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| 195 | ! - heat content of mass exchanged between ocean and sea-ice |
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| 196 | zqhc = ( rdq_snw(ji,jj) + rdq_ice(ji,jj) ) * r1_rdt_ice ! heat flux due to sown & ice heat content exchanges |
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| 197 | ! |
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| 198 | qsr(ji,jj) = zqsr ! solar heat flux |
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| 199 | qns(ji,jj) = zqns - fdtcn(ji,jj) + zqhc ! non solar heat flux |
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| 200 | |
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| 201 | ! !------------------------------------------! |
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| 202 | ! ! mass flux at the ocean surface ! |
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| 203 | ! !------------------------------------------! |
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| 204 | ! |
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| 205 | ! mass flux at the ocean-atmosphere interface (open ocean fraction = leads area) |
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| 206 | #if defined key_coupled |
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| 207 | ! ! coupled mode: |
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| 208 | zemp = + emp_tot(ji,jj) & ! net mass flux over the grid cell (ice+ocean area) |
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| 209 | & - emp_ice(ji,jj) * ( 1. - pfrld(ji,jj) ) ! minus the mass flux intercepted by sea-ice |
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| 210 | #else |
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| 211 | ! ! forced mode: |
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| 212 | zemp = + emp(ji,jj) * frld(ji,jj) & ! mass flux over open ocean fraction |
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| 213 | & - tprecip(ji,jj) * ( 1. - frld(ji,jj) ) & ! liquid precip. over ice reaches directly the ocean |
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| 214 | & + sprecip(ji,jj) * ( 1. - pfrld(ji,jj) ) & ! snow is intercepted by sea-ice (previous frld) |
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| 215 | #endif |
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| 216 | ! |
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| 217 | ! mass flux at the ocean/ice interface (sea ice fraction) |
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| 218 | zemp_snw = rdm_snw(ji,jj) * r1_rdt_ice ! snow melting = pure water that enters the ocean |
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| 219 | zfmm = rdm_ice(ji,jj) * r1_rdt_ice ! Freezing minus Melting (F-M) |
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| 220 | |
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| 221 | ! salt flux at the ice/ocean interface (sea ice fraction) [PSU*kg/m2/s] |
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| 222 | zfsalt = - sice_r(ji,jj) * zfmm ! F-M salt exchange |
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| 223 | zcd = soce_r(ji,jj) * zfmm ! concentration/dilution term due to F-M |
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| 224 | ! |
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| 225 | ! salt flux only : add concentration dilution term in salt flux and no F-M term in volume flux |
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| 226 | ! salt and mass fluxes : non concentartion dilution term in salt flux and add F-M term in volume flux |
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| 227 | emps(ji,jj) = zfsalt + zswitch * zcd ! salt flux (+ C/D if no ice/ocean mass exchange) |
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| 228 | emp (ji,jj) = zemp + zemp_snw + ( 1.- zswitch) * zfmm ! mass flux (- F/M mass flux if no ice/ocean mass exchange) |
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| 229 | ! |
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| 230 | END DO |
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| 231 | END DO |
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| 232 | |
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| 233 | |
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| 234 | CALL iom_put( 'hflx_ice_cea', - fdtcn(:,:) ) |
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| 235 | CALL iom_put( 'qns_io_cea', qns(:,:) - zqnsoce(:,:) * pfrld(:,:) ) |
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| 236 | CALL iom_put( 'qsr_io_cea', fstric(:,:) * (1. - pfrld(:,:)) ) |
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| 237 | |
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| 238 | IF( lk_diaar5 ) THEN |
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| 239 | CALL iom_put( 'isnwmlt_cea' , rdm_snw(:,:) * zrdtir ) |
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| 240 | CALL iom_put( 'fsal_virt_cea', soce_r(:,:) * rdm_ice(:,:) * zrdtir ) |
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| 241 | CALL iom_put( 'fsal_real_cea', - sice_r(:,:) * rdm_ice(:,:) * zrdtir ) |
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| 242 | ENDIF |
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| 243 | |
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| 244 | !------------------------------------------! |
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| 245 | ! momentum flux at the ocean surface ! |
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| 246 | !------------------------------------------! |
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| 247 | |
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| 248 | IF ( ln_limdyn ) THEN ! Update the stress over ice-over area (only in ice-dynamic case) |
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| 249 | ! ! otherwise the atmosphere-ocean stress is used everywhere |
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| 250 | ! |
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| 251 | ! ... ice stress over ocean with a ice-ocean rotation angle (at I-point) |
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| 252 | !CDIR NOVERRCHK |
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| 253 | DO jj = 1, jpj |
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| 254 | !CDIR NOVERRCHK |
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| 255 | DO ji = 1, jpi |
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| 256 | ! ... change the cosinus angle sign in the south hemisphere |
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| 257 | zsang = SIGN(1.e0, gphif(ji,jj) ) * sangvg |
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| 258 | ! ... ice velocity relative to the ocean at I-point |
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| 259 | zu_io = u_ice(ji,jj) - u_oce(ji,jj) |
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| 260 | zv_io = v_ice(ji,jj) - v_oce(ji,jj) |
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| 261 | zmod = SQRT( zu_io * zu_io + zv_io * zv_io ) |
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| 262 | zztmp = rhoco * zmod |
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| 263 | ! ... components of ice stress over ocean with a ice-ocean rotation angle (at I-point) |
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| 264 | ztio_u(ji,jj) = zztmp * ( cangvg * zu_io - zsang * zv_io ) |
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| 265 | ztio_v(ji,jj) = zztmp * ( cangvg * zv_io + zsang * zu_io ) |
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| 266 | ! ... module of ice stress over ocean (at I-point) |
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| 267 | ztiomi(ji,jj) = zztmp * zmod |
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| 268 | ! |
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| 269 | END DO |
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| 270 | END DO |
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| 271 | |
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| 272 | DO jj = 2, jpjm1 |
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| 273 | DO ji = 2, jpim1 ! NO vector opt. |
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| 274 | ! ... components of ice-ocean stress at U and V-points (from I-point values) |
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| 275 | zutau = 0.5 * ( ztio_u(ji+1,jj) + ztio_u(ji+1,jj+1) ) |
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| 276 | zvtau = 0.5 * ( ztio_v(ji,jj+1) + ztio_v(ji+1,jj+1) ) |
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| 277 | ! ... open-ocean (lead) fraction at U- & V-points (from T-point values) |
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| 278 | zfrldu = 0.5 * ( frld(ji,jj) + frld(ji+1,jj ) ) |
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| 279 | zfrldv = 0.5 * ( frld(ji,jj) + frld(ji ,jj+1) ) |
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| 280 | ! ... update components of surface ocean stress (ice-cover wheighted) |
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| 281 | utau(ji,jj) = zfrldu * utau(ji,jj) + ( 1. - zfrldu ) * zutau |
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| 282 | vtau(ji,jj) = zfrldv * vtau(ji,jj) + ( 1. - zfrldv ) * zvtau |
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| 283 | ! ... module of ice-ocean stress at T-points (from I-point values) |
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| 284 | zztmp = 0.25 * ( ztiomi(ji,jj) + ztiomi(ji+1,jj) + ztiomi(ji,jj+1) + ztiomi(ji+1,jj+1) ) |
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| 285 | ! ... update module of surface ocean stress (ice-cover wheighted) |
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| 286 | taum(ji,jj) = frld(ji,jj) * taum(ji,jj) + ( 1. - frld(ji,jj) ) * zztmp |
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| 287 | ! |
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| 288 | END DO |
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| 289 | END DO |
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| 290 | CALL lbc_lnk( utau, 'U', -1. ) ; CALL lbc_lnk( vtau, 'V', -1. ) ! lateral boundary conditions |
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| 291 | CALL lbc_lnk( taum, 'T', 1. ) |
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| 292 | ! |
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| 293 | ENDIF |
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| 294 | |
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| 295 | !-----------------------------------------------! |
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| 296 | ! Storing the transmitted variables ! |
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| 297 | !-----------------------------------------------! |
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| 298 | !!gm where this is done ????? ==>>> limthd_2 not logic ??? |
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| 299 | !!gm fr_i(:,:) = 1.0 - frld(:,:) ! sea-ice fraction |
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| 300 | !!gm |
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| 301 | |
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| 302 | IF ( lk_cpl ) THEN ! coupled mode : |
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| 303 | tn_ice(:,:,1) = sist(:,:) ! sea-ice surface temperature |
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| 304 | ! ! snow/ice and ocean albedo |
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| 305 | CALL albedo_ice( tn_ice, reshape( hicif, (/jpi,jpj,1/) ), reshape( hsnif, (/jpi,jpj,1/) ), zalbp, zalb ) |
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| 306 | alb_ice(:,:,1) = 0.5 * ( zalbp(:,:,1) + zalb (:,:,1) ) ! Ice albedo (mean clear and overcast skys) |
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| 307 | ! |
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| 308 | CALL iom_put( "icealb_cea", alb_ice(:,:,1) * fr_i(:,:) ) ! ice albedo |
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| 309 | ENDIF |
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| 310 | |
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| 311 | IF(ln_ctl) THEN |
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| 312 | CALL prt_ctl(tab2d_1=qsr , clinfo1=' lim_sbc: qsr : ', tab2d_2=qns , clinfo2=' qns : ') |
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| 313 | CALL prt_ctl(tab2d_1=emp , clinfo1=' lim_sbc: emp : ', tab2d_2=emps , clinfo2=' emps : ') |
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| 314 | CALL prt_ctl(tab2d_1=utau , clinfo1=' lim_sbc: utau : ', mask1=umask, & |
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| 315 | & tab2d_2=vtau , clinfo2=' vtau : ' , mask2=vmask ) |
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| 316 | CALL prt_ctl(tab2d_1=fr_i , clinfo1=' lim_sbc: fr_i : ', tab2d_2=tn_ice(:,:,1), clinfo2=' tn_ice : ') |
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| 317 | ENDIF |
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| 318 | ! |
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| 319 | END SUBROUTINE lim_sbc_2 |
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| 320 | |
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| 321 | #else |
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| 322 | !!---------------------------------------------------------------------- |
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| 323 | !! Default option : Dummy module NO LIM 2.0 sea-ice model |
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| 324 | !!---------------------------------------------------------------------- |
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| 325 | CONTAINS |
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| 326 | SUBROUTINE lim_sbc_2 ! Dummy routine |
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| 327 | END SUBROUTINE lim_sbc_2 |
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| 328 | #endif |
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| 329 | |
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| 330 | !!====================================================================== |
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| 331 | END MODULE limsbc_2 |
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