| 1 | MODULE limsbc |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limsbc *** |
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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 : 00-01 (H. Goosse) Original code |
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| 7 | !! 02-07 (C. Ethe, G. Madec) re-writing F90 |
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| 8 | !! 06-07 (G. Madec) surface module |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | #if defined key_lim3 |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! 'key_lim3' LIM 3.0 sea-ice model |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | !! lim_sbc : flux at the ice / ocean interface |
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| 16 | !!---------------------------------------------------------------------- |
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| 17 | USE par_oce ! ocean parameters |
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| 18 | USE par_ice ! ice parameters |
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| 19 | USE dom_oce ! ocean domain |
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| 20 | USE sbc_ice ! Surface boundary condition: sea-ice fields |
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| 21 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 22 | USE phycst ! physical constants |
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| 23 | USE ocfzpt ! surface ocean freezing point |
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| 24 | USE ice_oce ! sea-ice variable |
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| 25 | USE ice ! LIM sea-ice variables |
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| 26 | USE iceini ! ??? |
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| 27 | USE dynspg_oce ! choice of the surface pressure gradient scheme |
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| 28 | |
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| 29 | USE lbclnk ! ocean lateral boundary condition |
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| 30 | USE in_out_manager ! I/O manager |
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| 31 | USE albedo ! albedo parameters |
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| 32 | USE prtctl ! Print control |
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| 33 | |
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| 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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| 37 | PUBLIC lim_sbc ! called by sbc_ice_lim |
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| 38 | |
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| 39 | REAL(wp) :: epsi16 = 1.e-16 ! constant values |
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| 40 | REAL(wp) :: rzero = 0.e0 |
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| 41 | REAL(wp) :: rone = 1.e0 |
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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 | !! LIM 3.0, UCL-LOCEAN-IPSL (2006) |
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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( kt ) |
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| 54 | !!------------------------------------------------------------------- |
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| 55 | !! *** ROUTINE lim_sbc *** |
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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 : sea heat flux: solar |
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| 65 | !! - qns : sea heat flux: non solar |
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| 66 | !! - emp : freshwater budget: volume flux |
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| 67 | !! - emps : freshwater budget: concentration/dillution |
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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 | !! |
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| 71 | !! References : Goosse, H. et al. 1996, Bul. Soc. Roy. Sc. Liege, 65, 87-90. |
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| 72 | !! Tartinville et al. 2001 Ocean Modelling, 3, 95-108. |
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| 73 | !!--------------------------------------------------------------------- |
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| 74 | INTEGER :: kt ! number of iteration |
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| 75 | !! |
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| 76 | INTEGER :: ji, jj ! dummy loop indices |
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| 77 | INTEGER :: ifvt, i1mfr, idfr ! some switches |
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| 78 | INTEGER :: iflt, ial, iadv, ifral, ifrdv |
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| 79 | REAL(wp) :: zinda ! switch for testing the values of ice concentration |
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| 80 | REAL(wp) :: zfons ! salt exchanges at the ice/ocean interface |
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| 81 | REAL(wp) :: zpme ! freshwater exchanges at the ice/ocean interface |
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| 82 | REAL(wp) :: zfrldu, zfrldv ! lead fraction at U- & V-points |
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| 83 | REAL(wp) :: zu_io , zv_io ! 2 components of the ice-ocean velocity |
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| 84 | REAL(wp) :: ztglx , ztgly ! temporary scalar |
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| 85 | |
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| 86 | #if defined key_coupled |
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| 87 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zalb ! albedo of ice under overcast sky |
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| 88 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zalbp ! albedo of ice under clear sky |
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| 89 | #endif |
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| 90 | REAL(wp) :: zsang, zmod |
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| 91 | REAL(wp), DIMENSION(jpi,jpj) :: ztio_u, ztio_v ! ocean stress below sea-ice |
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| 92 | REAL(wp), DIMENSION(jpi,jpj) :: zfcm1 , zfcm2 ! solar/non solar heat fluxes |
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| 93 | |
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| 94 | !!--------------------------------------------------------------------- |
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| 95 | |
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| 96 | IF( kt == nit000 ) THEN |
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| 97 | IF(lwp) WRITE(numout,*) |
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| 98 | IF(lwp) WRITE(numout,*) 'lim_sbc : LIM 3.0 sea-ice - surface boundary condition' |
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| 99 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
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| 100 | ENDIF |
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| 101 | |
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| 102 | !------------------------------------------! |
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| 103 | ! heat flux at the ocean surface ! |
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| 104 | !------------------------------------------! |
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| 105 | ! pfrld is the lead fraction at the previous time step (actually between TRP and THD) |
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| 106 | ! changed to old_frld and old ht_i |
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| 107 | |
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| 108 | DO jj = 1, jpj |
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| 109 | DO ji = 1, jpi |
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| 110 | zinda = 1.0 - MAX( rzero , SIGN( rone , - ( 1.0 - pfrld(ji,jj) ) ) ) |
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| 111 | ifvt = zinda * MAX( rzero , SIGN( rone, -phicif (ji,jj) ) ) !subscripts are bad here |
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| 112 | i1mfr = 1.0 - MAX( rzero , SIGN( rone , - ( at_i(ji,jj) ) ) ) |
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| 113 | idfr = 1.0 - MAX( rzero , SIGN( rone , ( 1.0 - at_i(ji,jj) ) - pfrld(ji,jj) ) ) |
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| 114 | iflt = zinda * (1 - i1mfr) * (1 - ifvt ) |
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| 115 | ial = ifvt * i1mfr + ( 1 - ifvt ) * idfr |
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| 116 | iadv = ( 1 - i1mfr ) * zinda |
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| 117 | ifral = ( 1 - i1mfr * ( 1 - ial ) ) |
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| 118 | ifrdv = ( 1 - ifral * ( 1 - ial ) ) * iadv |
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| 119 | |
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| 120 | ! switch --- 1.0 ---------------- 0.0 -------------------- |
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| 121 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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| 122 | ! zinda | if pfrld = 1 | if pfrld < 1 | |
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| 123 | ! -> ifvt| if pfrld old_ht_i |
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| 124 | ! i1mfr | if frld = 1 | if frld < 1 | |
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| 125 | ! idfr | if frld <= pfrld | if frld > pfrld | |
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| 126 | ! iflt | |
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| 127 | ! ial | |
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| 128 | ! iadv | |
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| 129 | ! ifral |
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| 130 | ! ifrdv |
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| 131 | |
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| 132 | ! computation the solar flux at ocean surface |
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| 133 | zfcm1(ji,jj) = pfrld(ji,jj) * qsr(ji,jj) + ( 1. - pfrld(ji,jj) ) * fstric(ji,jj) |
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| 134 | ! fstric Solar flux transmitted trough the ice |
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| 135 | ! qsr Net short wave heat flux on free ocean |
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| 136 | ! new line |
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| 137 | fscmbq(ji,jj) = ( 1.0 - pfrld(ji,jj) ) * fstric(ji,jj) |
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| 138 | |
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| 139 | ! computation the non solar heat flux at ocean surface |
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| 140 | zfcm2(ji,jj) = - zfcm1(ji,jj) & |
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| 141 | & + iflt * ( fscmbq(ji,jj) ) & ! total abl -> fscmbq is given to the ocean |
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| 142 | ! fscmbq and ffltbif are obsolete |
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| 143 | ! & + iflt * ffltbif(ji,jj) !!! only if one category is used |
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| 144 | & + ifral * ( ial * qcmif(ji,jj) + (1 - ial) * qldif(ji,jj) ) / rdt_ice & |
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| 145 | & + ifrdv * ( qfvbq(ji,jj) + qdtcn(ji,jj) ) / rdt_ice & |
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| 146 | & + fhmec(ji,jj) & ! new contribution due to snow melt in ridging!! |
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| 147 | & + fheat_rpo(ji,jj) & ! contribution from ridge formation |
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| 148 | & + fheat_res(ji,jj) |
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| 149 | ! fscmbq Part of the solar radiation transmitted through the ice and going to the ocean |
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| 150 | ! computed in limthd_zdf.F90 |
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| 151 | ! ffltbif Total heat content of the ice (brine pockets+ice) / delta_t |
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| 152 | ! qcmif Energy needed to bring the ocean surface layer until its freezing (ok) |
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| 153 | ! qldif heat balance of the lead (or of the open ocean) |
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| 154 | ! qfvbq i think this is wrong! |
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| 155 | ! ---> Array used to store energy in case of total lateral ablation |
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| 156 | ! qfvbq latent heat uptake/release after accretion/ablation |
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| 157 | ! qdtcn Energy from the turbulent oceanic heat flux heat flux coming in the lead |
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| 158 | |
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| 159 | IF ( num_sal .EQ. 2 ) zfcm2(ji,jj) = zfcm2(ji,jj) + & |
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| 160 | fhbri(ji,jj) ! new contribution due to brine drainage |
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| 161 | |
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| 162 | ! bottom radiative component is sent to the computation of the |
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| 163 | ! oceanic heat flux |
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| 164 | fsbbq(ji,jj) = ( 1.0 - ( ifvt + iflt ) ) * fscmbq(ji,jj) |
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| 165 | |
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| 166 | ! used to compute the oceanic heat flux at the next time step |
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| 167 | qsr(ji,jj) = zfcm1(ji,jj) ! solar heat flux |
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| 168 | qns(ji,jj) = zfcm2(ji,jj) - fdtcn(ji,jj) ! non solar heat flux |
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| 169 | ! ! fdtcn : turbulent oceanic heat flux |
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| 170 | |
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| 171 | |
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| 172 | IF ( ( ji .EQ. jiindx ) .AND. ( jj .EQ. jjindx) ) THEN |
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| 173 | WRITE(numout,*) ' lim_sbc : heat fluxes ' |
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| 174 | WRITE(numout,*) ' qsr : ', qsr(jiindx,jjindx) |
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| 175 | WRITE(numout,*) ' zfcm1 : ', zfcm1(jiindx,jjindx) |
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| 176 | WRITE(numout,*) ' pfrld : ', pfrld(jiindx,jjindx) |
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| 177 | WRITE(numout,*) ' fstric : ', fstric (jiindx,jjindx) |
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| 178 | WRITE(numout,*) |
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| 179 | WRITE(numout,*) ' qns : ', qns(jiindx,jjindx) |
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| 180 | WRITE(numout,*) ' zfcm2 : ', zfcm2(jiindx,jjindx) |
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| 181 | WRITE(numout,*) ' zfcm1 : ', zfcm1(jiindx,jjindx) |
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| 182 | WRITE(numout,*) ' ifral : ', ifral |
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| 183 | WRITE(numout,*) ' ial : ', ial |
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| 184 | WRITE(numout,*) ' qcmif : ', qcmif(jiindx,jjindx) |
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| 185 | WRITE(numout,*) ' qldif : ', qldif(jiindx,jjindx) |
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| 186 | WRITE(numout,*) ' qcmif / dt: ', qcmif(jiindx,jjindx) / rdt_ice |
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| 187 | WRITE(numout,*) ' qldif / dt: ', qldif(jiindx,jjindx) / rdt_ice |
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| 188 | WRITE(numout,*) ' ifrdv : ', ifrdv |
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| 189 | WRITE(numout,*) ' qfvbq : ', qfvbq(jiindx,jjindx) |
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| 190 | WRITE(numout,*) ' qdtcn : ', qdtcn(jiindx,jjindx) |
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| 191 | WRITE(numout,*) ' qfvbq / dt: ', qfvbq(jiindx,jjindx) / rdt_ice |
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| 192 | WRITE(numout,*) ' qdtcn / dt: ', qdtcn(jiindx,jjindx) / rdt_ice |
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| 193 | WRITE(numout,*) ' ' |
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| 194 | WRITE(numout,*) ' fdtcn : ', fdtcn(jiindx,jjindx) |
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| 195 | WRITE(numout,*) ' fhmec : ', fhmec(jiindx,jjindx) |
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| 196 | WRITE(numout,*) ' fheat_rpo : ', fheat_rpo(jiindx,jjindx) |
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| 197 | WRITE(numout,*) ' fhbri : ', fhbri(jiindx,jjindx) |
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| 198 | WRITE(numout,*) ' fheat_res : ', fheat_res(jiindx,jjindx) |
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| 199 | ENDIF |
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| 200 | END DO |
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| 201 | END DO |
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| 202 | |
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| 203 | !------------------------------------------! |
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| 204 | ! mass flux at the ocean surface ! |
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| 205 | !------------------------------------------! |
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| 206 | |
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| 207 | DO jj = 1, jpj |
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| 208 | DO ji = 1, jpi |
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| 209 | ! case of realistic freshwater flux (Tartinville et al., 2001) (presently ACTIVATED) |
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| 210 | ! ------------------------------------------------------------------------------------- |
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| 211 | ! The idea of this approach is that the system that we consider is the ICE-OCEAN system |
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| 212 | ! Thus FW flux = External ( E-P+snow melt) |
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| 213 | ! Salt flux = Exchanges in the ice-ocean system then converted into FW |
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| 214 | ! Associated to Ice formation AND Ice melting |
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| 215 | ! Even if i see Ice melting as a FW and SALT flux |
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| 216 | ! |
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| 217 | |
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| 218 | ! computing freshwater exchanges at the ice/ocean interface |
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| 219 | zpme = - emp(ji,jj) * ( 1.0 - at_i(ji,jj) ) & ! evaporation over oceanic fraction |
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| 220 | & + tprecip(ji,jj) * at_i(ji,jj) & ! total precipitation |
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| 221 | ! old fashioned way |
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| 222 | ! & - sprecip(ji,jj) * ( 1. - pfrld(ji,jj) ) & ! remov. snow precip over ice |
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| 223 | & - sprecip(ji,jj) * ( 1. - (pfrld(ji,jj)**betas) ) & ! remov. snow precip over ice |
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| 224 | & - rdmsnif(ji,jj) / rdt_ice & ! freshwaterflux due to snow melting |
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| 225 | ! new contribution from snow falling when ridging |
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| 226 | & + fmmec(ji,jj) |
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| 227 | |
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| 228 | ! computing salt exchanges at the ice/ocean interface |
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| 229 | ! sice should be the same as computed with the ice model |
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| 230 | zfons = ( soce - sice ) * ( rdmicif(ji,jj) / rdt_ice ) |
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| 231 | ! SOCE |
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| 232 | zfons = ( sss_m(ji,jj) - sice ) * ( rdmicif(ji,jj) / rdt_ice ) |
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| 233 | |
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| 234 | !CT useless ! salt flux for constant salinity |
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| 235 | !CT useless fsalt(ji,jj) = zfons / ( sss_m(ji,jj) + epsi16 ) + fsalt_res(ji,jj) |
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| 236 | ! salt flux for variable salinity |
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| 237 | zinda = 1.0 - MAX( rzero , SIGN( rone , - ( 1.0 - pfrld(ji,jj) ) ) ) |
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| 238 | ! correcting brine and salt fluxes |
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| 239 | fsbri(ji,jj) = zinda*fsbri(ji,jj) |
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| 240 | ! converting the salt fluxes from ice to a freshwater flux from ocean |
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| 241 | fsalt_res(ji,jj) = fsalt_res(ji,jj) / ( sss_m(ji,jj) + epsi16 ) |
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| 242 | fseqv(ji,jj) = fseqv(ji,jj) / ( sss_m(ji,jj) + epsi16 ) |
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| 243 | fsbri(ji,jj) = fsbri(ji,jj) / ( sss_m(ji,jj) + epsi16 ) |
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| 244 | fsalt_rpo(ji,jj) = fsalt_rpo(ji,jj) / ( sss_m(ji,jj) + epsi16 ) |
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| 245 | |
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| 246 | ! freshwater mass exchange (positive to the ice, negative for the ocean ?) |
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| 247 | ! actually it's a salt flux (so it's minus freshwater flux) |
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| 248 | ! if sea ice grows, zfons is positive, fsalt also |
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| 249 | ! POSITIVE SALT FLUX FROM THE ICE TO THE OCEAN |
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| 250 | ! POSITIVE FRESHWATER FLUX FROM THE OCEAN TO THE ICE [kg.m-2.s-1] |
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| 251 | |
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| 252 | emp(ji,jj) = - zpme |
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| 253 | END DO |
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| 254 | END DO |
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| 255 | |
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| 256 | emps(:,:) = fseqv(:,:) + fsalt_res(:,:) + fsalt_rpo(:,:) + emp(:,:) |
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| 257 | IF (num_sal.eq.2) THEN |
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| 258 | !In case of variable salinity the salt flux has to be accounted for differently |
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| 259 | ! Brine drainage has to be added |
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| 260 | emps(:,:) = fsbri(:,:) + fseqv(:,:) + fsalt_res(:,:) + fsalt_rpo(:,:) + emp(:,:) |
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| 261 | ENDIF |
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| 262 | |
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| 263 | IF( lk_dynspg_rl ) emp (:,:) = emps(:,:) ! rigid-lid formulation : emp = emps |
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| 264 | |
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| 265 | !------------------------------------------! |
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| 266 | ! momentum flux at the ocean surface ! |
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| 267 | !------------------------------------------! |
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| 268 | |
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| 269 | IF ( ln_limdyn ) THEN ! Update the stress over ice-over area (only in ice-dynamic case) |
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| 270 | ! ! otherwise the atmosphere-ocean stress is used everywhere |
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| 271 | |
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| 272 | ! ... ice stress over ocean with a ice-ocean rotation angle |
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| 273 | DO jj = 1, jpj |
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| 274 | ! ... change the sinus angle sign in the south hemisphere |
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| 275 | zsang = SIGN(1.e0, gphif(1,jj) ) * sangvg |
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| 276 | DO ji = 1, jpi |
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| 277 | ! ... ice velocity relative to the ocean |
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| 278 | zu_io = u_ice(ji,jj) - u_oce(ji,jj) |
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| 279 | zv_io = v_ice(ji,jj) - v_oce(ji,jj) |
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| 280 | zmod = SQRT( zu_io * zu_io + zv_io * zv_io ) |
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| 281 | ! quadratic drag formulation |
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| 282 | ztglx = rhoco * zmod * ( cangvg * zu_io - zsang * zv_io ) |
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| 283 | ztgly = rhoco * zmod * ( cangvg * zv_io + zsang * zu_io ) |
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| 284 | ! IMPORTANT |
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| 285 | ! these lines are bound to prevent numerical oscillations |
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| 286 | ! in the ice-ocean stress |
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| 287 | ! They are physically ill-based. There is a cleaner solution |
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| 288 | ! to try (remember discussion in Paris Gurvan) |
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| 289 | ztio_u(ji,jj) = ztglx * exp( - zmod / 0.5 ) |
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| 290 | ztio_v(ji,jj) = ztgly * exp( - zmod / 0.5 ) |
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| 291 | ! |
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| 292 | END DO |
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| 293 | END DO |
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| 294 | |
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| 295 | DO jj = 2, jpjm1 |
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| 296 | DO ji = fs_2, fs_jpim1 ! vertor opt. |
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| 297 | ! ... open-ocean (lead) fraction at U- & V-points (from T-point values) |
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| 298 | zfrldu = 0.5 * ( ato_i(ji,jj) + ato_i(ji+1,jj ) ) |
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| 299 | zfrldv = 0.5 * ( ato_i(ji,jj) + ato_i(ji ,jj+1) ) |
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| 300 | ! update surface ocean stress |
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| 301 | utau(ji,jj) = zfrldu * utau(ji,jj) + ( 1. - zfrldu ) * ztio_u(ji,jj) |
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| 302 | vtau(ji,jj) = zfrldv * vtau(ji,jj) + ( 1. - zfrldv ) * ztio_v(ji,jj) |
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| 303 | ! |
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| 304 | END DO |
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| 305 | END DO |
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| 306 | |
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| 307 | ! boundary condition on the stress (utau,vtau) |
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| 308 | CALL lbc_lnk( utau, 'U', -1. ) |
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| 309 | CALL lbc_lnk( vtau, 'V', -1. ) |
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| 310 | |
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| 311 | ENDIF |
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| 312 | |
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| 313 | !-----------------------------------------------! |
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| 314 | ! Storing the transmitted variables ! |
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| 315 | !-----------------------------------------------! |
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| 316 | |
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| 317 | freeze(:,:) = at_i(:,:) ! Sea ice cover |
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| 318 | tn_ice(:,:,:) = t_su(:,:,:) ! Ice surface temperature |
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| 319 | |
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| 320 | #if defined key_coupled |
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| 321 | !------------------------------------------------! |
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| 322 | ! Computation of snow/ice and ocean albedo ! |
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| 323 | !------------------------------------------------! |
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| 324 | zalb (:,:,:) = 0.e0 |
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| 325 | zalbp (:,:,:) = 0.e0 |
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| 326 | |
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| 327 | CALL albedo_ice( t_su, ht_i, ht_s, zalbp, zalb ) |
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| 328 | |
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| 329 | alb_ice(:,:,:) = 0.5 * zalbp(:,:,:) + 0.5 * zalb (:,:,:) ! Ice albedo (mean clear and overcast skys) |
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| 330 | #endif |
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| 331 | |
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| 332 | IF(ln_ctl) THEN |
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| 333 | CALL prt_ctl(tab2d_1=qsr , clinfo1=' lim_sbc: qsr : ', tab2d_2=qns , clinfo2=' qns : ') |
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| 334 | CALL prt_ctl(tab2d_1=emp , clinfo1=' lim_sbc: emp : ', tab2d_2=emps , clinfo2=' emps : ') |
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| 335 | CALL prt_ctl(tab2d_1=utau , clinfo1=' lim_sbc: utau : ', mask1=umask, & |
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| 336 | & tab2d_2=vtau , clinfo2=' vtau : ' , mask2=vmask ) |
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| 337 | CALL prt_ctl(tab2d_1=freeze, clinfo1=' lim_sbc: freeze : ') |
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| 338 | CALL prt_ctl(tab3d_1=tn_ice, clinfo1=' lim_sbc: tn_ice : ', kdim=jpl) |
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| 339 | ENDIF |
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| 340 | |
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| 341 | END SUBROUTINE lim_sbc |
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| 342 | |
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| 343 | #else |
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| 344 | !!---------------------------------------------------------------------- |
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| 345 | !! Default option : Dummy module NO LIM 3.0 sea-ice model |
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| 346 | !!---------------------------------------------------------------------- |
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| 347 | CONTAINS |
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| 348 | SUBROUTINE lim_sbc ! Dummy routine |
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| 349 | END SUBROUTINE lim_sbc |
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| 350 | #endif |
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| 351 | |
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| 352 | !!====================================================================== |
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| 353 | END MODULE limsbc |
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