1 | MODULE iceupdate |
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2 | !!====================================================================== |
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3 | !! *** MODULE iceupdate *** |
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4 | !! Sea-ice : computation of the flux at the sea ice/ocean interface |
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5 | !!====================================================================== |
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6 | !! History : - ! 2006-07 (M. Vancoppelle) LIM3 original code |
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7 | !! 3.0 ! 2008-03 (C. Tallandier) surface module |
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8 | !! - ! 2008-04 (C. Tallandier) split in 2 + new ice-ocean coupling |
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9 | !! 3.3 ! 2010-05 (G. Madec) decrease ocean & ice reference salinities in the Baltic sea |
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10 | !! ! + simplification of the ice-ocean stress calculation |
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11 | !! 3.4 ! 2011-02 (G. Madec) dynamical allocation |
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12 | !! - ! 2012 (D. Iovino) salt flux change |
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13 | !! - ! 2012-05 (C. Rousset) add penetration solar flux |
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14 | !! 3.5 ! 2012-10 (A. Coward, G. Madec) salt fluxes ; ice+snow mass |
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15 | !!---------------------------------------------------------------------- |
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16 | #if defined key_lim3 |
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17 | !!---------------------------------------------------------------------- |
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18 | !! 'key_lim3' ESIM sea-ice model |
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19 | !!---------------------------------------------------------------------- |
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20 | !! ice_update_alloc : allocate the iceupdate arrays |
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21 | !! ice_update_init : initialisation |
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22 | !! ice_update_flx : updates mass, heat and salt fluxes at the ocean surface |
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23 | !! ice_update_tau : update i- and j-stresses, and its modulus at the ocean surface |
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24 | !!---------------------------------------------------------------------- |
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25 | USE oce , ONLY : sshn, sshb |
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26 | USE phycst ! physical constants |
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27 | USE dom_oce ! ocean domain |
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28 | USE ice ! sea-ice: variables |
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29 | !!gm It should be probably better to pass these variable in argument of the routine, |
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30 | !!gm rather than having this long list in USE. This will also highlight what is updated, and what is just use. |
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31 | USE sbc_ice , ONLY : emp_oce, qns_oce, qsr_oce , qemp_oce , & |
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32 | & emp_ice, qsr_ice, qemp_ice, qevap_ice, alb_ice, tn_ice, cldf_ice, & |
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33 | & snwice_mass, snwice_mass_b, snwice_fmass |
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34 | USE sbc_oce , ONLY : nn_fsbc, ln_ice_embd, sfx, fr_i, qsr_tot, qns, qsr, fmmflx, emp, taum, utau, vtau |
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35 | !!gm end |
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36 | USE sbccpl ! Surface boundary condition: coupled interface |
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37 | USE icealb ! sea-ice: albedo parameters |
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38 | USE traqsr ! add penetration of solar flux in the calculation of heat budget |
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39 | USE icectl ! sea-ice: control prints |
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40 | USE bdy_oce , ONLY : ln_bdy |
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41 | ! |
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42 | USE in_out_manager ! I/O manager |
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43 | USE iom ! I/O manager library |
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44 | USE lib_mpp ! MPP library |
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45 | USE lib_fortran ! fortran utilities (glob_sum + no signed zero) |
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46 | USE lbclnk ! lateral boundary conditions (or mpp links) |
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47 | USE timing ! Timing |
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48 | |
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49 | IMPLICIT NONE |
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50 | PRIVATE |
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51 | |
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52 | PUBLIC ice_update_init ! called by ice_init |
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53 | PUBLIC ice_update_flx ! called by ice_stp |
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54 | PUBLIC ice_update_tau ! called by ice_stp |
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55 | |
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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 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/ICE 4.0 , NEMO Consortium (2017) |
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63 | !! $Id: iceupdate.F90 8411 2017-08-07 16:09:12Z clem $ |
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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 ice_update_alloc() |
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69 | !!------------------------------------------------------------------- |
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70 | !! *** ROUTINE ice_update_alloc *** |
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71 | !!------------------------------------------------------------------- |
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72 | ALLOCATE( utau_oce(jpi,jpj), vtau_oce(jpi,jpj), tmod_io(jpi,jpj), STAT=ice_update_alloc ) |
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73 | ! |
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74 | IF( lk_mpp ) CALL mpp_sum( ice_update_alloc ) |
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75 | IF( ice_update_alloc /= 0 ) CALL ctl_warn('ice_update_alloc: failed to allocate arrays') |
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76 | ! |
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77 | END FUNCTION ice_update_alloc |
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78 | |
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79 | |
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80 | SUBROUTINE ice_update_flx( kt ) |
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81 | !!------------------------------------------------------------------- |
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82 | !! *** ROUTINE ice_update_flx *** |
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83 | !! |
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84 | !! ** Purpose : Update the surface ocean boundary condition for heat |
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85 | !! salt and mass over areas where sea-ice is non-zero |
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86 | !! |
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87 | !! ** Action : - computes the heat and freshwater/salt fluxes |
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88 | !! at the ice-ocean interface. |
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89 | !! - Update the ocean sbc |
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90 | !! |
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91 | !! ** Outputs : - qsr : sea heat flux: solar |
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92 | !! - qns : sea heat flux: non solar |
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93 | !! - emp : freshwater budget: volume flux |
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94 | !! - sfx : salt flux |
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95 | !! - fr_i : ice fraction |
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96 | !! - tn_ice : sea-ice surface temperature |
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97 | !! - alb_ice : sea-ice albedo (recomputed only for coupled mode) |
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98 | !! |
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99 | !! References : Goosse, H. et al. 1996, Bul. Soc. Roy. Sc. Liege, 65, 87-90. |
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100 | !! Tartinville et al. 2001 Ocean Modelling, 3, 95-108. |
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101 | !! These refs are now obsolete since everything has been revised |
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102 | !! The ref should be Rousset et al., 2015 |
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103 | !!--------------------------------------------------------------------- |
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104 | INTEGER, INTENT(in) :: kt ! number of iteration |
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105 | ! |
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106 | INTEGER :: ji, jj, jl, jk ! dummy loop indices |
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107 | REAL(wp) :: zqmass ! Heat flux associated with mass exchange ice->ocean (W.m-2) |
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108 | REAL(wp) :: zqsr ! New solar flux received by the ocean |
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109 | REAL(wp), DIMENSION(jpi,jpj,jpl) :: zalb_cs, zalb_os ! 3D workspace |
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110 | !!--------------------------------------------------------------------- |
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111 | IF( nn_timing == 1 ) CALL timing_start('ice_update') |
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112 | |
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113 | IF( kt == nit000 .AND. lwp ) THEN |
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114 | WRITE(numout,*) |
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115 | WRITE(numout,*)'ice_update_flx: update fluxes (mass, salt and heat) at the ice-ocean interface' |
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116 | WRITE(numout,*)'~~~~~~~~~~~~~~' |
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117 | ENDIF |
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118 | |
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119 | ! --- case we bypass ice thermodynamics --- ! |
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120 | IF( .NOT. ln_icethd ) THEN ! we suppose ice is impermeable => ocean is isolated from atmosphere |
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121 | hfx_in (:,:) = ( 1._wp - at_i_b(:,:) ) * ( qns_oce(:,:) + qsr_oce(:,:) ) + qemp_oce(:,:) |
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122 | hfx_out (:,:) = ( 1._wp - at_i_b(:,:) ) * qns_oce(:,:) + qemp_oce(:,:) |
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123 | ftr_ice (:,:,:) = 0._wp |
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124 | emp_ice (:,:) = 0._wp |
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125 | qemp_ice (:,:) = 0._wp |
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126 | qevap_ice(:,:,:) = 0._wp |
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127 | ENDIF |
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128 | |
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129 | DO jj = 1, jpj |
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130 | DO ji = 1, jpi |
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131 | |
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132 | ! Solar heat flux reaching the ocean = zqsr (W.m-2) |
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133 | !--------------------------------------------------- |
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134 | zqsr = qsr_tot(ji,jj) - SUM( a_i_b(ji,jj,:) * ( qsr_ice(ji,jj,:) - ftr_ice(ji,jj,:) ) ) |
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135 | |
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136 | ! Total heat flux reaching the ocean = hfx_out (W.m-2) |
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137 | !--------------------------------------------------- |
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138 | zqmass = hfx_thd(ji,jj) + hfx_dyn(ji,jj) + hfx_res(ji,jj) ! heat flux from snow is 0 (T=0 degC) |
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139 | hfx_out(ji,jj) = hfx_out(ji,jj) + zqmass + zqsr |
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140 | |
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141 | ! Add the residual from heat diffusion equation and sublimation (W.m-2) |
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142 | !---------------------------------------------------------------------- |
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143 | hfx_out(ji,jj) = hfx_out(ji,jj) + hfx_err_dif(ji,jj) + & |
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144 | & ( hfx_sub(ji,jj) - SUM( qevap_ice(ji,jj,:) * a_i_b(ji,jj,:) ) ) |
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145 | |
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146 | ! New qsr and qns used to compute the oceanic heat flux at the next time step |
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147 | !---------------------------------------------------------------------------- |
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148 | qsr(ji,jj) = zqsr |
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149 | qns(ji,jj) = hfx_out(ji,jj) - zqsr |
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150 | |
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151 | ! Mass flux at the atm. surface |
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152 | !----------------------------------- |
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153 | wfx_sub(ji,jj) = wfx_snw_sub(ji,jj) + wfx_ice_sub(ji,jj) |
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154 | |
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155 | ! Mass flux at the ocean surface |
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156 | !------------------------------------ |
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157 | ! case of realistic freshwater flux (Tartinville et al., 2001) (presently ACTIVATED) |
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158 | ! ------------------------------------------------------------------------------------- |
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159 | ! The idea of this approach is that the system that we consider is the ICE-OCEAN system |
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160 | ! Thus FW flux = External ( E-P+snow melt) |
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161 | ! Salt flux = Exchanges in the ice-ocean system then converted into FW |
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162 | ! Associated to Ice formation AND Ice melting |
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163 | ! Even if i see Ice melting as a FW and SALT flux |
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164 | ! |
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165 | ! mass flux from ice/ocean |
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166 | wfx_ice(ji,jj) = wfx_bog(ji,jj) + wfx_bom(ji,jj) + wfx_sum(ji,jj) + wfx_sni(ji,jj) & |
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167 | & + wfx_opw(ji,jj) + wfx_dyn(ji,jj) + wfx_res(ji,jj) + wfx_lam(ji,jj) |
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168 | |
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169 | IF ( ln_pnd_fw ) wfx_ice(ji,jj) = wfx_ice(ji,jj) + wfx_pnd(ji,jj) |
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170 | |
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171 | ! add the snow melt water to snow mass flux to the ocean |
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172 | wfx_snw(ji,jj) = wfx_snw_sni(ji,jj) + wfx_snw_dyn(ji,jj) + wfx_snw_sum(ji,jj) |
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173 | |
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174 | ! mass flux at the ocean/ice interface |
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175 | fmmflx(ji,jj) = - ( wfx_ice(ji,jj) + wfx_snw(ji,jj) + wfx_err_sub(ji,jj) ) ! F/M mass flux save at least for biogeochemical model |
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176 | emp(ji,jj) = emp_oce(ji,jj) - wfx_ice(ji,jj) - wfx_snw(ji,jj) - wfx_err_sub(ji,jj) ! mass flux + F/M mass flux (always ice/ocean mass exchange) |
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177 | |
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178 | |
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179 | ! Salt flux at the ocean surface |
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180 | !------------------------------------------ |
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181 | sfx(ji,jj) = sfx_bog(ji,jj) + sfx_bom(ji,jj) + sfx_sum(ji,jj) + sfx_sni(ji,jj) + sfx_opw(ji,jj) & |
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182 | & + sfx_res(ji,jj) + sfx_dyn(ji,jj) + sfx_bri(ji,jj) + sfx_sub(ji,jj) + sfx_lam(ji,jj) |
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183 | |
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184 | ! Mass of snow and ice per unit area |
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185 | !---------------------------------------- |
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186 | snwice_mass_b(ji,jj) = snwice_mass(ji,jj) ! save mass from the previous ice time step |
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187 | ! ! new mass per unit area |
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188 | snwice_mass (ji,jj) = tmask(ji,jj,1) * ( rhosn * vt_s(ji,jj) + rhoic * vt_i(ji,jj) ) |
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189 | ! ! time evolution of snow+ice mass |
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190 | snwice_fmass (ji,jj) = ( snwice_mass(ji,jj) - snwice_mass_b(ji,jj) ) * r1_rdtice |
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191 | |
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192 | END DO |
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193 | END DO |
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194 | |
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195 | ! Storing the transmitted variables |
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196 | !---------------------------------- |
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197 | fr_i (:,:) = at_i(:,:) ! Sea-ice fraction |
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198 | tn_ice(:,:,:) = t_su(:,:,:) ! Ice surface temperature |
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199 | |
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200 | ! Snow/ice albedo (only if sent to coupler, useless in forced mode) |
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201 | !------------------------------------------------------------------ |
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202 | CALL ice_alb( t_su, ht_i, ht_s, a_ip_frac, h_ip, ln_pnd_rad, zalb_cs, zalb_os ) ! cloud-sky and overcast-sky ice albedos |
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203 | ! |
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204 | alb_ice(:,:,:) = ( 1._wp - cldf_ice ) * zalb_cs(:,:,:) + cldf_ice * zalb_os(:,:,:) |
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205 | ! |
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206 | IF( lrst_ice ) THEN !* write snwice_mass fields in the restart file |
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207 | CALL update_rst( 'WRITE', kt ) |
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208 | ENDIF |
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209 | ! |
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210 | ! controls |
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211 | IF( ln_icediachk .AND. .NOT. ln_bdy) CALL ice_cons_final('iceupdate') ! conservation |
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212 | IF( ln_icectl ) CALL ice_prt (kt, iiceprt, jiceprt, 3, 'Final state ice_update') ! prints |
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213 | IF( ln_ctl ) CALL ice_prt3D ('iceupdate') ! prints |
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214 | IF( nn_timing == 1 ) CALL timing_stop ('ice_update') ! timing |
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215 | ! |
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216 | END SUBROUTINE ice_update_flx |
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217 | |
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218 | |
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219 | SUBROUTINE ice_update_tau( kt, pu_oce, pv_oce ) |
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220 | !!------------------------------------------------------------------- |
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221 | !! *** ROUTINE ice_update_tau *** |
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222 | !! |
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223 | !! ** Purpose : Update the ocean surface stresses due to the ice |
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224 | !! |
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225 | !! ** Action : * at each ice time step (every nn_fsbc time step): |
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226 | !! - compute the modulus of ice-ocean relative velocity |
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227 | !! (*rho*Cd) at T-point (C-grid) or I-point (B-grid) |
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228 | !! tmod_io = rhoco * | U_ice-U_oce | |
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229 | !! - update the modulus of stress at ocean surface |
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230 | !! taum = (1-a) * taum + a * tmod_io * | U_ice-U_oce | |
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231 | !! * at each ocean time step (every kt): |
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232 | !! compute linearized ice-ocean stresses as |
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233 | !! Utau = tmod_io * | U_ice - pU_oce | |
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234 | !! using instantaneous current ocean velocity (usually before) |
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235 | !! |
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236 | !! NB: - ice-ocean rotation angle no more allowed |
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237 | !! - here we make an approximation: taum is only computed every ice time step |
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238 | !! This avoids mutiple average to pass from T -> U,V grids and next from U,V grids |
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239 | !! to T grid. taum is used in TKE and GLS, which should not be too sensitive to this approximaton... |
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240 | !! |
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241 | !! ** Outputs : - utau, vtau : surface ocean i- and j-stress (u- & v-pts) updated with ice-ocean fluxes |
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242 | !! - taum : modulus of the surface ocean stress (T-point) updated with ice-ocean fluxes |
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243 | !!--------------------------------------------------------------------- |
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244 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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245 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pu_oce, pv_oce ! surface ocean currents |
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246 | ! |
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247 | INTEGER :: ji, jj ! dummy loop indices |
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248 | REAL(wp) :: zat_u, zutau_ice, zu_t, zmodt ! local scalar |
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249 | REAL(wp) :: zat_v, zvtau_ice, zv_t, zrhoco ! - - |
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250 | !!--------------------------------------------------------------------- |
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251 | |
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252 | IF( nn_timing == 1 ) CALL timing_start('ice_update') |
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253 | |
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254 | IF( kt == nit000 .AND. lwp ) THEN |
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255 | WRITE(numout,*) |
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256 | WRITE(numout,*)'ice_update_tau: update stress at the ice-ocean interface' |
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257 | WRITE(numout,*)'~~~~~~~~~~~~~~' |
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258 | ENDIF |
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259 | |
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260 | zrhoco = rau0 * rn_cio |
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261 | ! |
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262 | IF( MOD( kt-1, nn_fsbc ) == 0 ) THEN !== Ice time-step only ==! (i.e. surface module time-step) |
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263 | DO jj = 2, jpjm1 !* update the modulus of stress at ocean surface (T-point) |
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264 | DO ji = fs_2, fs_jpim1 |
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265 | ! ! 2*(U_ice-U_oce) at T-point |
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266 | zu_t = u_ice(ji,jj) + u_ice(ji-1,jj) - u_oce(ji,jj) - u_oce(ji-1,jj) |
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267 | zv_t = v_ice(ji,jj) + v_ice(ji,jj-1) - v_oce(ji,jj) - v_oce(ji,jj-1) |
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268 | ! ! |U_ice-U_oce|^2 |
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269 | zmodt = 0.25_wp * ( zu_t * zu_t + zv_t * zv_t ) |
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270 | ! ! update the ocean stress modulus |
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271 | taum(ji,jj) = ( 1._wp - at_i(ji,jj) ) * taum(ji,jj) + at_i(ji,jj) * zrhoco * zmodt |
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272 | tmod_io(ji,jj) = zrhoco * SQRT( zmodt ) ! rhoco * |U_ice-U_oce| at T-point |
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273 | END DO |
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274 | END DO |
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275 | CALL lbc_lnk_multi( taum, 'T', 1., tmod_io, 'T', 1. ) |
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276 | ! |
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277 | utau_oce(:,:) = utau(:,:) !* save the air-ocean stresses at ice time-step |
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278 | vtau_oce(:,:) = vtau(:,:) |
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279 | ! |
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280 | ENDIF |
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281 | ! |
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282 | ! !== every ocean time-step ==! |
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283 | ! |
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284 | DO jj = 2, jpjm1 !* update the stress WITHOUT a ice-ocean rotation angle |
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285 | DO ji = fs_2, fs_jpim1 ! Vect. Opt. |
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286 | zat_u = ( at_i(ji,jj) + at_i(ji+1,jj) ) * 0.5_wp ! ice area at u and V-points |
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287 | zat_v = ( at_i(ji,jj) + at_i(ji,jj+1) ) * 0.5_wp |
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288 | ! ! linearized quadratic drag formulation |
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289 | zutau_ice = 0.5_wp * ( tmod_io(ji,jj) + tmod_io(ji+1,jj) ) * ( u_ice(ji,jj) - pu_oce(ji,jj) ) |
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290 | zvtau_ice = 0.5_wp * ( tmod_io(ji,jj) + tmod_io(ji,jj+1) ) * ( v_ice(ji,jj) - pv_oce(ji,jj) ) |
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291 | ! ! stresses at the ocean surface |
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292 | utau(ji,jj) = ( 1._wp - zat_u ) * utau_oce(ji,jj) + zat_u * zutau_ice |
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293 | vtau(ji,jj) = ( 1._wp - zat_v ) * vtau_oce(ji,jj) + zat_v * zvtau_ice |
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294 | END DO |
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295 | END DO |
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296 | CALL lbc_lnk_multi( utau, 'U', -1., vtau, 'V', -1. ) ! lateral boundary condition |
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297 | ! |
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298 | IF( nn_timing == 1 ) CALL timing_stop('ice_update') |
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299 | ! |
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300 | END SUBROUTINE ice_update_tau |
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301 | |
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302 | |
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303 | SUBROUTINE ice_update_init |
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304 | !!------------------------------------------------------------------- |
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305 | !! *** ROUTINE ice_update_init *** |
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306 | !! |
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307 | !! ** Purpose : ??? |
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308 | !! |
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309 | !!------------------------------------------------------------------- |
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310 | INTEGER :: ji, jj, jk ! dummy loop indices |
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311 | REAL(wp) :: zcoefu, zcoefv, zcoeff ! local scalar |
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312 | !!------------------------------------------------------------------- |
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313 | ! |
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314 | IF(lwp) WRITE(numout,*) |
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315 | IF(lwp) WRITE(numout,*) 'ice_update_init: ???? ' |
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316 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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317 | |
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318 | ! ! allocate ice_update array |
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319 | IF( ice_update_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'ice_update_init : unable to allocate standard arrays' ) |
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320 | ! |
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321 | CALL update_rst( 'READ' ) !* read or initialize all required files |
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322 | ! |
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323 | END SUBROUTINE ice_update_init |
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324 | |
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325 | SUBROUTINE update_rst( cdrw, kt ) |
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326 | !!--------------------------------------------------------------------- |
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327 | !! *** ROUTINE rhg_evp_rst *** |
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328 | !! |
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329 | !! ** Purpose : Read or write RHG file in restart file |
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330 | !! |
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331 | !! ** Method : use of IOM library |
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332 | !!---------------------------------------------------------------------- |
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333 | CHARACTER(len=*) , INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
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334 | INTEGER, OPTIONAL, INTENT(in) :: kt ! ice time-step |
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335 | ! |
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336 | INTEGER :: iter ! local integer |
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337 | INTEGER :: id1 ! local integer |
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338 | !!---------------------------------------------------------------------- |
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339 | ! |
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340 | IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialize |
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341 | ! ! --------------- |
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342 | IF( ln_rstart ) THEN !* Read the restart file |
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343 | ! |
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344 | id1 = iom_varid( numrir, 'snwice_mass' , ldstop = .FALSE. ) |
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345 | ! |
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346 | IF( id1 > 0 ) THEN ! fields exist |
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347 | CALL iom_get( numrir, jpdom_autoglo, 'snwice_mass' , snwice_mass ) |
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348 | CALL iom_get( numrir, jpdom_autoglo, 'snwice_mass_b', snwice_mass_b ) |
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349 | ELSE ! start from rest |
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350 | IF(lwp) WRITE(numout,*) ' ==>> previous run without snow-ice mass output then set it' |
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351 | snwice_mass (:,:) = tmask(:,:,1) * ( rhosn * vt_s(:,:) + rhoic * vt_i(:,:) ) |
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352 | snwice_mass_b(:,:) = snwice_mass(:,:) |
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353 | ENDIF |
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354 | ELSE !* Start from rest |
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355 | IF(lwp) WRITE(numout,*) ' ==>> start from rest: set the snow-ice mass' |
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356 | snwice_mass (:,:) = tmask(:,:,1) * ( rhosn * vt_s(:,:) + rhoic * vt_i(:,:) ) |
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357 | snwice_mass_b(:,:) = snwice_mass(:,:) |
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358 | ENDIF |
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359 | ! |
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360 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file |
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361 | ! ! ------------------- |
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362 | IF(lwp) WRITE(numout,*) '---- update-rst ----' |
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363 | iter = kt + nn_fsbc - 1 ! ice restarts are written at kt == nitrst - nn_fsbc + 1 |
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364 | ! |
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365 | CALL iom_rstput( iter, nitrst, numriw, 'snwice_mass' , snwice_mass ) |
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366 | CALL iom_rstput( iter, nitrst, numriw, 'snwice_mass_b', snwice_mass_b ) |
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367 | ! |
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368 | ENDIF |
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369 | ! |
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370 | END SUBROUTINE update_rst |
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371 | |
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372 | #else |
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373 | !!---------------------------------------------------------------------- |
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374 | !! Default option Dummy module NO ESIM sea-ice model |
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375 | !!---------------------------------------------------------------------- |
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376 | #endif |
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377 | |
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378 | !!====================================================================== |
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379 | END MODULE iceupdate |
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