1 | MODULE limsbc_2 |
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2 | !!====================================================================== |
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3 | !! *** MODULE limsbc_2 *** |
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4 | !! LIM-2 : updates the fluxes at the ocean surface with ice-ocean fluxes |
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5 | !!====================================================================== |
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6 | !! History : LIM ! 2000-01 (H. Goosse) Original code |
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7 | !! 1.0 ! 2002-07 (C. Ethe, G. Madec) re-writing F90 |
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8 | !! 3.0 ! 2006-07 (G. Madec) surface module |
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9 | !! 3.3 ! 2009-05 (G. Garric, C. Bricaud) addition of the lim2_evp case |
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10 | !! - ! 2010-11 (G. Madec) ice-ocean stress computed at each ocean time-step |
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11 | !! 3.3.1 ! 2011-01 (A. R. Porter, STFC Daresbury) dynamical allocation |
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12 | !! 3.5 ! 2012-11 ((G. Madec, Y. Aksenov, A. Coward) salt and heat fluxes associated with e-p |
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13 | !!---------------------------------------------------------------------- |
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14 | #if defined key_lim2 |
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15 | !!---------------------------------------------------------------------- |
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16 | !! 'key_lim2' LIM 2.0 sea-ice model |
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17 | !!---------------------------------------------------------------------- |
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18 | !! lim_sbc_alloc_2 : allocate the limsbc arrays |
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19 | !! lim_sbc_init : initialisation |
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20 | !! lim_sbc_flx_2 : update mass, heat and salt fluxes at the ocean surface |
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21 | !! lim_sbc_tau_2 : update i- and j-stresses, and its modulus at the ocean surface |
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22 | !!---------------------------------------------------------------------- |
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23 | USE par_oce ! ocean parameters |
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24 | USE phycst ! physical constants |
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25 | USE dom_oce ! ocean domain |
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26 | USE dom_ice_2 ! LIM-2: ice domain |
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27 | USE ice_2 ! LIM-2: ice variables |
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28 | USE sbc_ice ! surface boundary condition: ice |
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29 | USE sbc_oce ! surface boundary condition: ocean |
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30 | USE sbccpl |
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31 | USE cpl_oasis3, ONLY : lk_cpl |
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32 | USE oce , ONLY : sshn, sshb, snwice_mass, snwice_mass_b, snwice_fmass |
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33 | USE albedo ! albedo parameters |
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34 | USE lbclnk ! ocean lateral boundary condition - MPP exchanges |
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35 | USE lib_mpp ! MPP library |
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36 | USE wrk_nemo ! work arrays |
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37 | USE in_out_manager ! I/O manager |
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38 | USE diaar5, ONLY : lk_diaar5 |
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39 | USE iom ! I/O library |
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40 | USE prtctl ! Print control |
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41 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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42 | |
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43 | IMPLICIT NONE |
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44 | PRIVATE |
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45 | |
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46 | PUBLIC lim_sbc_init_2 ! called by ice_init_2 |
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47 | PUBLIC lim_sbc_flx_2 ! called by sbc_ice_lim_2 |
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48 | PUBLIC lim_sbc_tau_2 ! called by sbc_ice_lim_2 |
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49 | |
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50 | REAL(wp) :: r1_rdtice ! = 1. / rdt_ice |
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51 | REAL(wp) :: epsi16 = 1.e-16_wp ! constant values |
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52 | REAL(wp) :: rzero = 0._wp ! - - |
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53 | REAL(wp) :: rone = 1._wp ! - - |
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54 | ! |
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55 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: soce_0, sice_0 ! constant SSS and ice salinity used in levitating sea-ice case |
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56 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: utau_oce, vtau_oce ! air-ocean surface i- & j-stress [N/m2] |
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57 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: tmod_io ! modulus of the ice-ocean relative velocity [m/s] |
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58 | |
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59 | !! * Substitutions |
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60 | # include "vectopt_loop_substitute.h90" |
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61 | !!---------------------------------------------------------------------- |
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62 | !! NEMO/LIM2 4.0 , UCL - NEMO Consortium (2011) |
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63 | !! $Id$ |
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64 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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65 | !!---------------------------------------------------------------------- |
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66 | CONTAINS |
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67 | |
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68 | INTEGER FUNCTION lim_sbc_alloc_2() |
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69 | !!------------------------------------------------------------------- |
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70 | !! *** ROUTINE lim_sbc_alloc_2 *** |
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71 | !!------------------------------------------------------------------- |
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72 | ALLOCATE( soce_0(jpi,jpj) , utau_oce(jpi,jpj) , & |
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73 | & sice_0(jpi,jpj) , vtau_oce(jpi,jpj) , tmod_io(jpi,jpj), STAT=lim_sbc_alloc_2) |
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74 | ! |
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75 | IF( lk_mpp ) CALL mpp_sum( lim_sbc_alloc_2 ) |
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76 | IF( lim_sbc_alloc_2 /= 0 ) CALL ctl_warn('lim_sbc_alloc_2: failed to allocate arrays.') |
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77 | ! |
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78 | END FUNCTION lim_sbc_alloc_2 |
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79 | |
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80 | |
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81 | SUBROUTINE lim_sbc_flx_2( kt ) |
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82 | !!------------------------------------------------------------------- |
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83 | !! *** ROUTINE lim_sbc_2 *** |
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84 | !! |
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85 | !! ** Purpose : Update surface ocean boundary condition over areas |
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86 | !! that are at least partially covered by sea-ice |
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87 | !! |
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88 | !! ** Action : - comput. of the momentum, heat and freshwater/salt |
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89 | !! fluxes at the ice-ocean interface. |
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90 | !! - Update the fluxes provided to the ocean |
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91 | !! |
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92 | !! ** Outputs : - qsr : sea heat flux : solar |
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93 | !! - qns : sea heat flux : non solar (including heat content of the mass flux) |
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94 | !! - emp : freshwater budget: mass flux |
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95 | !! - sfx : freshwater budget: salt flux due to Freezing/Melting |
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96 | !! - utau : sea surface i-stress (ocean referential) |
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97 | !! - vtau : sea surface j-stress (ocean referential) |
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98 | !! - fr_i : ice fraction |
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99 | !! - tn_ice : sea-ice surface temperature |
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100 | !! - alb_ice : sea-ice alberdo (lk_cpl=T) |
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101 | !! |
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102 | !! References : Goosse, H. et al. 1996, Bul. Soc. Roy. Sc. Liege, 65, 87-90. |
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103 | !! Tartinville et al. 2001 Ocean Modelling, 3, 95-108. |
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104 | !!--------------------------------------------------------------------- |
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105 | INTEGER, INTENT(in) :: kt ! number of iteration |
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106 | !! |
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107 | INTEGER :: ji, jj ! dummy loop indices |
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108 | INTEGER :: ii0, ii1, ij0, ij1 ! local integers |
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109 | INTEGER :: ifvt, i1mfr, idfr, iflt ! - - |
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110 | INTEGER :: ial, iadv, ifral, ifrdv ! - - |
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111 | REAL(wp) :: zqsr, zqns, zfmm ! local scalars |
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112 | REAL(wp) :: zinda, zfsalt, zemp ! - - |
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113 | REAL(wp) :: zemp_snw, zqhc, zcd ! - - |
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114 | REAL(wp) :: zswitch ! - - |
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115 | REAL(wp), POINTER, DIMENSION(:,:) :: zqnsoce ! 2D workspace |
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116 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zalb, zalbp ! 2D/3D workspace |
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117 | !!--------------------------------------------------------------------- |
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118 | |
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119 | CALL wrk_alloc( jpi, jpj, zqnsoce ) |
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120 | CALL wrk_alloc( jpi, jpj, 1, zalb, zalbp ) |
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121 | |
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122 | SELECT CASE( nn_ice_embd ) ! levitating or embedded sea-ice option |
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123 | CASE( 0 ) ; zswitch = 1 ! (0) standard levitating sea-ice : salt exchange only |
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124 | CASE( 1, 2 ) ; zswitch = 0 ! (1) levitating sea-ice: salt and volume exchange but no pressure effect |
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125 | ! (2) embedded sea-ice : salt and volume fluxes and pressure |
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126 | END SELECT ! |
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127 | |
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128 | !------------------------------------------! |
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129 | ! heat flux at the ocean surface ! |
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130 | !------------------------------------------! |
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131 | |
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132 | zqnsoce(:,:) = qns(:,:) |
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133 | DO jj = 1, jpj |
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134 | DO ji = 1, jpi |
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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 | !!$ attempt to explain the tricky flags set above.... |
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146 | !!$ zinda = 1.0 - AINT( pfrld(ji,jj) ) ! = 0. if ice-free ocean else 1. (after ice adv, but before ice thermo) |
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147 | !!$ i1mfr = 1.0 - AINT( frld(ji,jj) ) ! = 0. if ice-free ocean else 1. (after ice thermo) |
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148 | !!$ |
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149 | !!$ IF( phicif(ji,jj) <= 0. ) THEN ; ifvt = zinda ! = zinda if previous thermodynamic step overmelted the ice??? |
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150 | !!$ ELSE ; ifvt = 0. ! |
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151 | !!$ ENDIF |
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152 | !!$ |
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153 | !!$ IF( frld(ji,jj) >= pfrld(ji,jj) ) THEN ; idfr = 0. ! = 0. if lead fraction increases due to ice thermodynamics |
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154 | !!$ ELSE ; idfr = 1. |
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155 | !!$ ENDIF |
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156 | !!$ |
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157 | !!$ iflt = zinda * (1 - i1mfr) * (1 - ifvt ) ! = 1. if ice (not only snow) at previous time and ice-free ocean currently |
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158 | !!$ |
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159 | !!$ ial = ifvt * i1mfr + ( 1 - ifvt ) * idfr |
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160 | !!$ = i1mfr if ifvt = 1 i.e. |
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161 | !!$ = idfr if ifvt = 0 |
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162 | !!$! snow no ice ice ice or nothing lead fraction increases |
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163 | !!$! at previous now at previous |
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164 | !!$! -> ice area increases ??? -> ice area decreases ??? |
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165 | !!$ |
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166 | !!$ iadv = ( 1 - i1mfr ) * zinda |
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167 | !!$! pure ocean ice at |
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168 | !!$! at current previous |
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169 | !!$! -> = 1. if ice disapear between previous and current |
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170 | !!$ |
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171 | !!$ ifral = ( 1 - i1mfr * ( 1 - ial ) ) |
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172 | !!$! ice at ??? |
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173 | !!$! current |
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174 | !!$! -> ??? |
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175 | !!$ |
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176 | !!$ ifrdv = ( 1 - ifral * ( 1 - ial ) ) * iadv |
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177 | !!$! ice disapear |
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178 | !!$ |
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179 | !!$ |
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180 | |
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181 | ! computation the solar flux at ocean surface |
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182 | #if defined key_coupled |
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183 | zqsr = qsr_tot(ji,jj) + ( fstric(ji,jj) - qsr_ice(ji,jj,1) ) * ( 1.0 - pfrld(ji,jj) ) |
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184 | #else |
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185 | zqsr = pfrld(ji,jj) * qsr(ji,jj) + ( 1. - pfrld(ji,jj) ) * fstric(ji,jj) |
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186 | #endif |
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187 | ! computation the non solar heat flux at ocean surface |
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188 | zqns = - ( 1. - thcm(ji,jj) ) * zqsr & ! part of the solar energy used in leads |
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189 | & + iflt * ( fscmbq(ji,jj) + ffltbif(ji,jj) ) & |
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190 | & + ifral * ( ial * qcmif(ji,jj) + (1 - ial) * qldif(ji,jj) ) * r1_rdtice & |
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191 | & + ifrdv * ( qfvbq(ji,jj) + qdtcn(ji,jj) ) * r1_rdtice |
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192 | |
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193 | fsbbq(ji,jj) = ( 1.0 - ( ifvt + iflt ) ) * fscmbq(ji,jj) ! store residual heat flux (to put into the ocean at the next time-step) |
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194 | zqhc = ( rdq_snw(ji,jj) & |
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195 | & + rdq_ice(ji,jj) * ( 1.- zswitch) ) * r1_rdtice ! heat flux due to snow ( & ice heat content, |
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196 | ! ! if ice/ocean mass exchange active) |
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197 | qsr (ji,jj) = zqsr ! solar heat flux |
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198 | qns (ji,jj) = zqns - fdtcn(ji,jj) + zqhc ! non solar heat flux |
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199 | ! |
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200 | ! !------------------------------------------! |
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201 | ! ! mass and salt flux at the ocean surface ! |
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202 | ! !------------------------------------------! |
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203 | ! |
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204 | ! mass flux at the ocean-atmosphere interface (open ocean fraction = leads area) |
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205 | #if defined key_coupled |
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206 | ! ! coupled mode: |
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207 | zemp = + emp_tot(ji,jj) & ! net mass flux over the grid cell (ice+ocean area) |
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208 | & - emp_ice(ji,jj) * ( 1. - pfrld(ji,jj) ) ! minus the mass flux intercepted by sea-ice |
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209 | #else |
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210 | ! ! forced mode: |
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211 | zemp = + emp(ji,jj) * frld(ji,jj) & ! mass flux over open ocean fraction |
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212 | & - tprecip(ji,jj) * ( 1. - frld(ji,jj) ) & ! liquid precip. over ice reaches directly the ocean |
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213 | & + sprecip(ji,jj) * ( 1. - pfrld(ji,jj) ) ! snow is intercepted by sea-ice (previous frld) |
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214 | #endif |
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215 | ! |
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216 | ! mass flux at the ocean/ice interface (sea ice fraction) |
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217 | zemp_snw = rdm_snw(ji,jj) * r1_rdtice ! snow melting = pure water that enters the ocean |
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218 | zfmm = rdm_ice(ji,jj) * r1_rdtice ! Freezing minus Melting (F-M) |
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219 | |
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220 | fmmflx(ji,jj) = zfmm ! F/M mass flux save at least for biogeochemical model |
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221 | |
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222 | ! salt flux at the ice/ocean interface (sea ice fraction) [PSU*kg/m2/s] |
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223 | zfsalt = - sice_0(ji,jj) * zfmm ! F-M salt exchange |
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224 | zcd = soce_0(ji,jj) * zfmm ! concentration/dilution term due to F-M |
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225 | ! |
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226 | ! salt flux only : add concentration dilution term in salt flux and no F-M term in volume flux |
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227 | ! salt and mass fluxes : non concentration dilution term in salt flux and add F-M term in volume flux |
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228 | sfx (ji,jj) = zfsalt + zswitch * zcd ! salt flux (+ C/D if no ice/ocean mass exchange) |
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229 | emp (ji,jj) = zemp + zemp_snw + ( 1.- zswitch) * zfmm ! mass flux (+ F/M mass flux if ice/ocean mass exchange) |
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230 | ! |
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231 | END DO |
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232 | END DO |
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233 | ! !------------------------------------------! |
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234 | ! ! mass of snow and ice per unit area ! |
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235 | ! !------------------------------------------! |
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236 | IF( nn_ice_embd /= 0 ) THEN ! embedded sea-ice (mass required) |
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237 | snwice_mass_b(:,:) = snwice_mass(:,:) ! save mass from the previous ice time step |
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238 | ! ! new mass per unit area |
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239 | snwice_mass (:,:) = tms(:,:) * ( rhosn * hsnif(:,:) + rhoic * hicif(:,:) ) * ( 1.0 - frld(:,:) ) |
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240 | ! ! time evolution of snow+ice mass |
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241 | snwice_fmass (:,:) = ( snwice_mass(:,:) - snwice_mass_b(:,:) ) / rdt_ice |
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242 | ENDIF |
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243 | |
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244 | CALL iom_put( 'hflx_ice_cea', - fdtcn(:,:) ) |
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245 | CALL iom_put( 'qns_io_cea', qns(:,:) - zqnsoce(:,:) * pfrld(:,:) ) |
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246 | CALL iom_put( 'qsr_io_cea', fstric(:,:) * (1.e0 - pfrld(:,:)) ) |
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247 | |
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248 | IF( lk_diaar5 ) THEN ! AR5 diagnostics |
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249 | CALL iom_put( 'isnwmlt_cea' , rdm_snw(:,:) * r1_rdtice ) |
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250 | CALL iom_put( 'fsal_virt_cea', soce_0(:,:) * rdm_ice(:,:) * r1_rdtice ) |
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251 | CALL iom_put( 'fsal_real_cea', - sice_0(:,:) * rdm_ice(:,:) * r1_rdtice ) |
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252 | ENDIF |
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253 | |
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254 | !-----------------------------------------------! |
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255 | ! Coupling variables ! |
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256 | !-----------------------------------------------! |
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257 | |
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258 | #if defined key_coupled |
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259 | tn_ice(:,:,1) = sist(:,:) ! sea-ice surface temperature |
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260 | ht_i(:,:,1) = hicif(:,:) |
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261 | ht_s(:,:,1) = hsnif(:,:) |
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262 | a_i(:,:,1) = fr_i(:,:) |
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263 | ! ! Computation of snow/ice and ocean albedo |
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264 | CALL albedo_ice( tn_ice, ht_i, ht_s, zalbp, zalb ) |
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265 | alb_ice(:,:,1) = 0.5 * ( zalbp(:,:,1) + zalb (:,:,1) ) ! Ice albedo (mean clear and overcast skys) |
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266 | CALL iom_put( "icealb_cea", alb_ice(:,:,1) * fr_i(:,:) ) ! ice albedo |
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267 | #endif |
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268 | |
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269 | IF(ln_ctl) THEN ! control print |
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270 | CALL prt_ctl(tab2d_1=qsr , clinfo1=' lim_sbc: qsr : ', tab2d_2=qns , clinfo2=' qns : ') |
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271 | CALL prt_ctl(tab2d_1=emp , clinfo1=' lim_sbc: emp : ', tab2d_2=sfx , clinfo2=' sfx : ') |
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272 | CALL prt_ctl(tab2d_1=utau , clinfo1=' lim_sbc: utau : ', mask1=umask, & |
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273 | & tab2d_2=vtau , clinfo2=' vtau : ' , mask2=vmask ) |
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274 | CALL prt_ctl(tab2d_1=fr_i , clinfo1=' lim_sbc: fr_i : ', tab2d_2=tn_ice(:,:,1), clinfo2=' tn_ice : ') |
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275 | ENDIF |
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276 | ! |
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277 | CALL wrk_dealloc( jpi, jpj, zqnsoce ) |
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278 | CALL wrk_dealloc( jpi, jpj, 1, zalb, zalbp ) |
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279 | ! |
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280 | END SUBROUTINE lim_sbc_flx_2 |
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281 | |
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282 | |
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283 | SUBROUTINE lim_sbc_tau_2( kt , pu_oce, pv_oce ) |
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284 | !!------------------------------------------------------------------- |
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285 | !! *** ROUTINE lim_sbc_tau_2 *** |
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286 | !! |
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287 | !! ** Purpose : Update the ocean surface stresses due to the ice |
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288 | !! |
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289 | !! ** Action : * at each ice time step (every nn_fsbc time step): |
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290 | !! - compute the modulus of ice-ocean relative velocity |
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291 | !! at T-point (C-grid) or I-point (B-grid) |
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292 | !! tmod_io = rhoco * | U_ice-U_oce | |
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293 | !! - update the modulus of stress at ocean surface |
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294 | !! taum = frld * taum + (1-frld) * tmod_io * | U_ice-U_oce | |
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295 | !! * at each ocean time step (each kt): |
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296 | !! compute linearized ice-ocean stresses as |
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297 | !! Utau = tmod_io * | U_ice - pU_oce | |
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298 | !! using instantaneous current ocean velocity (usually before) |
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299 | !! |
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300 | !! NB: - the averaging operator used depends on the ice dynamics grid (cp_ice_msh='I' or 'C') |
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301 | !! - ice-ocean rotation angle only allowed in cp_ice_msh='I' case |
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302 | !! - here we make an approximation: taum is only computed every ice time step |
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303 | !! This avoids mutiple average to pass from T -> U,V grids and next from U,V grids |
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304 | !! to T grid. taum is used in TKE and GLS, which should not be too sensitive to this approximation... |
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305 | !! |
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306 | !! ** Outputs : - utau, vtau : surface ocean i- and j-stress (u- & v-pts) updated with ice-ocean fluxes |
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307 | !! - taum : modulus of the surface ocean stress (T-point) updated with ice-ocean fluxes |
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308 | !!--------------------------------------------------------------------- |
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309 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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310 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pu_oce, pv_oce ! surface ocean currents |
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311 | !! |
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312 | INTEGER :: ji, jj ! dummy loop indices |
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313 | REAL(wp) :: zfrldu, zat_u, zu_i, zutau_ice, zu_t, zmodt ! local scalar |
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314 | REAL(wp) :: zfrldv, zat_v, zv_i, zvtau_ice, zv_t, zmodi ! - - |
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315 | REAL(wp) :: zsang, zumt ! - - |
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316 | REAL(wp), POINTER, DIMENSION(:,:) :: ztio_u, ztio_v ! ocean stress below sea-ice |
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317 | !!--------------------------------------------------------------------- |
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318 | ! |
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319 | CALL wrk_alloc( jpi, jpj, ztio_u, ztio_v ) |
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320 | ! |
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321 | SELECT CASE( cp_ice_msh ) |
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322 | ! !-----------------------! |
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323 | CASE( 'I' ) ! B-grid ice dynamics ! I-point (i.e. F-point with sea-ice indexation) |
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324 | ! !--=--------------------! |
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325 | ! |
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326 | IF( MOD( kt-1, nn_fsbc ) == 0 ) THEN !== Ice time-step only ==! (i.e. surface module time-step) |
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327 | !CDIR NOVERRCHK |
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328 | DO jj = 1, jpj !* modulus of ice-ocean relative velocity at I-point |
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329 | !CDIR NOVERRCHK |
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330 | DO ji = 1, jpi |
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331 | zu_i = u_ice(ji,jj) - u_oce(ji,jj) ! ice-ocean relative velocity at I-point |
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332 | zv_i = v_ice(ji,jj) - v_oce(ji,jj) |
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333 | tmod_io(ji,jj) = SQRT( zu_i * zu_i + zv_i * zv_i ) ! modulus of this velocity (at I-point) |
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334 | END DO |
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335 | END DO |
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336 | !CDIR NOVERRCHK |
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337 | DO jj = 1, jpjm1 !* update the modulus of stress at ocean surface (T-point) |
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338 | !CDIR NOVERRCHK |
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339 | DO ji = 1, jpim1 ! NO vector opt. |
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340 | ! ! modulus of U_ice-U_oce at T-point |
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341 | zumt = 0.25_wp * ( tmod_io(ji+1,jj) + tmod_io(ji ,jj ) & |
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342 | & + tmod_io(ji,jj+1) + tmod_io(ji+1,jj+1) ) |
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343 | ! ! update the modulus of stress at ocean surface |
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344 | taum(ji,jj) = frld(ji,jj) * taum(ji,jj) + ( 1._wp - frld(ji,jj) ) * rhoco * zumt * zumt |
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345 | END DO |
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346 | END DO |
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347 | CALL lbc_lnk( taum, 'T', 1. ) |
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348 | ! |
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349 | utau_oce(:,:) = utau(:,:) !* save the air-ocean stresses at ice time-step |
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350 | vtau_oce(:,:) = vtau(:,:) |
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351 | ! |
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352 | ENDIF |
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353 | ! |
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354 | ! !== at each ocean time-step ==! |
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355 | ! |
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356 | ! !* ice/ocean stress WITH a ice-ocean rotation angle at I-point |
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357 | DO jj = 2, jpj |
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358 | zsang = SIGN( 1._wp, gphif(1,jj) ) * sangvg ! change the cosine angle sign in the SH |
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359 | DO ji = 2, jpi ! NO vect. opt. possible |
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360 | ! ... ice-ocean relative velocity at I-point using instantaneous surface ocean current at u- & v-pts |
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361 | zu_i = u_ice(ji,jj) - 0.5_wp * ( pu_oce(ji-1,jj ) + pu_oce(ji-1,jj-1) ) * tmu(ji,jj) |
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362 | zv_i = v_ice(ji,jj) - 0.5_wp * ( pv_oce(ji ,jj-1) + pv_oce(ji-1,jj-1) ) * tmu(ji,jj) |
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363 | ! ... components of stress with a ice-ocean rotation angle |
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364 | zmodi = rhoco * tmod_io(ji,jj) |
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365 | ztio_u(ji,jj) = zmodi * ( cangvg * zu_i - zsang * zv_i ) |
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366 | ztio_v(ji,jj) = zmodi * ( cangvg * zv_i + zsang * zu_i ) |
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367 | END DO |
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368 | END DO |
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369 | ! !* surface ocean stresses at u- and v-points |
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370 | DO jj = 2, jpjm1 |
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371 | DO ji = 2, jpim1 ! NO vector opt. |
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372 | ! ! ice-ocean stress at U and V-points (from I-point values) |
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373 | zutau_ice = 0.5_wp * ( ztio_u(ji+1,jj) + ztio_u(ji+1,jj+1) ) |
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374 | zvtau_ice = 0.5_wp * ( ztio_v(ji,jj+1) + ztio_v(ji+1,jj+1) ) |
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375 | ! ! open-ocean (lead) fraction at U- & V-points (from T-point values) |
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376 | zfrldu = 0.5_wp * ( frld(ji,jj) + frld(ji+1,jj) ) |
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377 | zfrldv = 0.5_wp * ( frld(ji,jj) + frld(ji,jj+1) ) |
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378 | ! ! update the surface ocean stress (ice-cover wheighted) |
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379 | utau(ji,jj) = zfrldu * utau_oce(ji,jj) + ( 1._wp - zfrldu ) * zutau_ice |
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380 | vtau(ji,jj) = zfrldv * vtau_oce(ji,jj) + ( 1._wp - zfrldv ) * zvtau_ice |
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381 | END DO |
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382 | END DO |
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383 | CALL lbc_lnk( utau, 'U', -1. ) ; CALL lbc_lnk( vtau, 'V', -1. ) ! lateral boundary condition |
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384 | ! |
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385 | ! |
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386 | ! !-----------------------! |
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387 | CASE( 'C' ) ! C-grid ice dynamics ! U & V-points (same as in the ocean) |
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388 | ! !--=--------------------! |
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389 | ! |
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390 | IF( MOD( kt-1, nn_fsbc ) == 0 ) THEN !== Ice time-step only ==! (i.e. surface module time-step) |
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391 | !CDIR NOVERRCHK |
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392 | DO jj = 2, jpjm1 !* modulus of the ice-ocean velocity at T-point |
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393 | !CDIR NOVERRCHK |
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394 | DO ji = fs_2, fs_jpim1 |
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395 | zu_t = u_ice(ji,jj) + u_ice(ji-1,jj) - u_oce(ji,jj) - u_oce(ji-1,jj) ! 2*(U_ice-U_oce) at T-point |
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396 | zv_t = v_ice(ji,jj) + v_ice(ji,jj-1) - v_oce(ji,jj) - v_oce(ji,jj-1) |
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397 | zmodt = 0.25_wp * ( zu_t * zu_t + zv_t * zv_t ) ! |U_ice-U_oce|^2 |
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398 | ! ! update the modulus of stress at ocean surface |
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399 | taum (ji,jj) = frld(ji,jj) * taum(ji,jj) + ( 1._wp - frld(ji,jj) ) * rhoco * zmodt |
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400 | tmod_io(ji,jj) = SQRT( zmodt ) * rhoco ! rhoco*|Uice-Uoce| |
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401 | END DO |
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402 | END DO |
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403 | CALL lbc_lnk( taum, 'T', 1. ) ; CALL lbc_lnk( tmod_io, 'T', 1. ) |
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404 | ! |
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405 | utau_oce(:,:) = utau(:,:) !* save the air-ocean stresses at ice time-step |
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406 | vtau_oce(:,:) = vtau(:,:) |
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407 | ! |
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408 | ENDIF |
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409 | ! |
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410 | ! !== at each ocean time-step ==! |
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411 | ! |
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412 | DO jj = 2, jpjm1 !* ice stress over ocean WITHOUT a ice-ocean rotation angle |
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413 | DO ji = fs_2, fs_jpim1 |
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414 | ! ! ocean area at u- & v-points |
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415 | zfrldu = 0.5_wp * ( frld(ji,jj) + frld(ji+1,jj) ) |
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416 | zfrldv = 0.5_wp * ( frld(ji,jj) + frld(ji,jj+1) ) |
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417 | ! ! quadratic drag formulation without rotation |
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418 | ! ! using instantaneous surface ocean current |
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419 | zutau_ice = 0.5 * ( tmod_io(ji,jj) + tmod_io(ji+1,jj) ) * ( u_ice(ji,jj) - pu_oce(ji,jj) ) |
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420 | zvtau_ice = 0.5 * ( tmod_io(ji,jj) + tmod_io(ji,jj+1) ) * ( v_ice(ji,jj) - pv_oce(ji,jj) ) |
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421 | ! ! update the surface ocean stress (ice-cover wheighted) |
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422 | utau(ji,jj) = zfrldu * utau_oce(ji,jj) + ( 1._wp - zfrldu ) * zutau_ice |
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423 | vtau(ji,jj) = zfrldv * vtau_oce(ji,jj) + ( 1._wp - zfrldv ) * zvtau_ice |
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424 | END DO |
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425 | END DO |
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426 | CALL lbc_lnk( utau, 'U', -1. ) ; CALL lbc_lnk( vtau, 'V', -1. ) ! lateral boundary condition |
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427 | ! |
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428 | END SELECT |
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429 | |
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430 | IF(ln_ctl) CALL prt_ctl( tab2d_1=utau, clinfo1=' lim_sbc: utau : ', mask1=umask, & |
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431 | & tab2d_2=vtau, clinfo2=' vtau : ' , mask2=vmask ) |
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432 | ! |
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433 | CALL wrk_dealloc( jpi, jpj, ztio_u, ztio_v ) |
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434 | ! |
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435 | END SUBROUTINE lim_sbc_tau_2 |
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436 | |
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437 | |
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438 | SUBROUTINE lim_sbc_init_2 |
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439 | !!------------------------------------------------------------------- |
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440 | !! *** ROUTINE lim_sbc_init *** |
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441 | !! |
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442 | !! ** Purpose : Preparation of the file ice_evolu for the output of |
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443 | !! the temporal evolution of key variables |
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444 | !! |
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445 | !! ** input : Namelist namicedia |
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446 | !!------------------------------------------------------------------- |
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447 | ! |
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448 | IF(lwp) WRITE(numout,*) |
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449 | IF(lwp) WRITE(numout,*) 'lim_sbc_init_2 : LIM-2 sea-ice - surface boundary condition' |
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450 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ ' |
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451 | |
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452 | ! ! allocate lim_sbc arrays |
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453 | IF( lim_sbc_alloc_2() /= 0 ) CALL ctl_stop( 'STOP', 'lim_sbc_flx_2 : unable to allocate arrays' ) |
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454 | ! |
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455 | r1_rdtice = 1._wp / rdt_ice |
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456 | ! |
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457 | soce_0(:,:) = soce ! constant SSS and ice salinity used in levitating sea-ice case |
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458 | sice_0(:,:) = sice |
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459 | ! |
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460 | IF( cp_cfg == "orca" ) THEN ! decrease ocean & ice reference salinities in the Baltic sea |
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461 | WHERE( 14._wp <= glamt(:,:) .AND. glamt(:,:) <= 32._wp .AND. & |
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462 | & 54._wp <= gphit(:,:) .AND. gphit(:,:) <= 66._wp ) |
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463 | soce_0(:,:) = 4._wp |
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464 | sice_0(:,:) = 2._wp |
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465 | END WHERE |
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466 | ENDIF |
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467 | ! ! embedded sea ice |
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468 | IF( nn_ice_embd /= 0 ) THEN ! mass exchanges between ice and ocean (case 1 or 2) set the snow+ice mass |
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469 | snwice_mass (:,:) = tms(:,:) * ( rhosn * hsnif(:,:) + rhoic * hicif(:,:) ) * ( 1.0 - frld(:,:) ) |
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470 | snwice_mass_b(:,:) = snwice_mass(:,:) |
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471 | ELSE |
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472 | snwice_mass (:,:) = 0.e0 ! no mass exchanges |
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473 | snwice_mass_b(:,:) = 0.e0 ! no mass exchanges |
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474 | ENDIF |
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475 | IF( nn_ice_embd == 2 .AND. & ! full embedment (case 2) & no restart : |
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476 | & .NOT.ln_rstart ) THEN ! deplete the initial ssh below sea-ice area |
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477 | sshn(:,:) = sshn(:,:) - snwice_mass(:,:) * r1_rau0 |
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478 | sshb(:,:) = sshb(:,:) - snwice_mass(:,:) * r1_rau0 |
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479 | ENDIF |
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480 | ! |
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481 | END SUBROUTINE lim_sbc_init_2 |
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482 | |
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483 | #else |
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484 | !!---------------------------------------------------------------------- |
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485 | !! Default option Empty module NO LIM 2.0 sea-ice model |
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486 | !!---------------------------------------------------------------------- |
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487 | #endif |
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488 | |
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489 | !!====================================================================== |
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490 | END MODULE limsbc_2 |
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