| 1 | SUBROUTINE ice_th_dh(nlay_s,nlay_i,kideb,kiut) |
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| 2 | !!------------------------------------------------------------------ |
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| 3 | !! *** ROUTINE ice_th_dh *** |
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| 4 | !! ** Purpose : |
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| 5 | !! This routine determines variations of ice and snow thicknesses. |
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| 6 | !! ** Method : |
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| 7 | !! Ice/Snow surface melting arises from imbalance in surface fluxes |
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| 8 | !! Bottom accretion/ablation arises from flux budget |
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| 9 | !! Snow thickness can increase by precipitation and decrease by |
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| 10 | !! sublimation |
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| 11 | !! If snow load excesses Archmiede limit, snow-ice is formed by |
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| 12 | !! the flooding of sea-water in the snow |
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| 13 | !! ** Steps |
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| 14 | !! 1) Compute available flux of heat for surface ablation |
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| 15 | !! 2) Compute snow and sea ice enthalpies |
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| 16 | !! 3) Surface ablation and sublimation |
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| 17 | !! 4) Bottom accretion/ablation |
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| 18 | !! 5) Case of Total ablation |
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| 19 | !! 6) Snow ice formation |
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| 20 | !! |
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| 21 | !! ** Inputs / Outputs |
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| 22 | !! |
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| 23 | !! ** External |
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| 24 | !! |
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| 25 | !! ** References : Bitz and Lipscomb, JGR 99 |
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| 26 | !! Fichefet T. and M. Maqueda 1997, |
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| 27 | !! J. Geophys. Res., 102(C6), 12609-12646 |
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| 28 | !! Vancoppenolle, Fichefet and Bitz, GRL 2005 |
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| 29 | !! Vancoppenolle et al., OM08 |
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| 30 | !! |
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| 31 | !! ** History : |
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| 32 | !! original code 01-04 (LIM) |
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| 33 | !! original routine |
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| 34 | !! (05-2003) M. Vancoppenolle, Louvain-La-Neuve, Belgium |
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| 35 | !! (05-2008) BIO-LIM |
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| 36 | !! |
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| 37 | !!------------------------------------------------------------------ |
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| 38 | !! * Arguments |
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| 39 | !!------------------------------------------------------------------ |
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| 40 | |
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| 41 | USE lib_fortran |
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| 42 | |
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| 43 | INCLUDE 'type.com' |
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| 44 | INCLUDE 'para.com' |
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| 45 | INCLUDE 'const.com' |
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| 46 | INCLUDE 'ice.com' |
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| 47 | INCLUDE 'thermo.com' |
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| 48 | |
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| 49 | ! Local Variables |
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| 50 | DIMENSION zrchu1(nbpt), zrchu2(nbpt), zqsat(nbpt), z_f_surf(nbpt) |
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| 51 | DIMENSION zdeltah(maxnlay) |
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| 52 | LOGICAL l_write |
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| 53 | |
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| 54 | zqt_s_ini = 0.0 |
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| 55 | zqt_s_fin = 0.0 |
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| 56 | zdqt_s = 0.0 |
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| 57 | zqt_i_ini = 0.0 |
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| 58 | zqt_i_fin = 0.0 |
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| 59 | zdqt_i = 0.0 |
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| 60 | s_i_max = 15.0 |
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| 61 | |
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| 62 | ! Local Constants |
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| 63 | zeps = 1.0e-20 |
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| 64 | l_write = .TRUE. |
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| 65 | |
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| 66 | IF ( l_write ) THEN |
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| 67 | WRITE(numout,*) ' ** ice_th_dh : ' |
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| 68 | WRITE(numout,*) ' ~~~~~~~~~~~~~~ ' |
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| 69 | WRITE(numout,*) |
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| 70 | ENDIF |
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| 71 | ! |
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| 72 | !------------------------------------------------------------------------------| |
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| 73 | ! 1) Calculate available heat for surface ablation |
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| 74 | !------------------------------------------------------------------------------| |
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| 75 | ! |
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| 76 | DO 20 ji = kideb, kiut |
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| 77 | |
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| 78 | z_f_surf(ji) = fratsb(ji) + fleb(ji) + fcsb(ji) - fc_su(ji) |
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| 79 | & + ab(ji)*fsolgb(ji) |
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| 80 | z_f_surf(ji) = MAX(c_zero,z_f_surf(ji)) |
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| 81 | z_f_surf(ji) = z_f_surf(ji)*MAX(c_zero, |
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| 82 | & SIGN(one,t_su_b(ji)-tfs(ji))) |
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| 83 | |
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| 84 | IF ( l_write ) THEN |
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| 85 | WRITE(numout,*) ' Available heat for surface ablation ... ' |
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| 86 | WRITE(numout,*) |
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| 87 | WRITE(numout,*) ' z_f_surf : ', z_f_surf(ji) |
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| 88 | WRITE(numout,*) ' fratsb : ', fratsb(ji) |
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| 89 | WRITE(numout,*) ' fleb : ', fleb(ji) |
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| 90 | WRITE(numout,*) ' fcsb : ', fcsb(ji) |
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| 91 | WRITE(numout,*) ' fc_su : ', fc_su(ji) |
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| 92 | WRITE(numout,*) ' ab : ', ab(ji) |
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| 93 | WRITE(numout,*) ' fsolgb : ', fsolgb(ji) |
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| 94 | WRITE(numout,*) |
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| 95 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 96 | WRITE(numout,*) ' ht_s_b : ', ht_s_b(ji) |
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| 97 | WRITE(numout,*) ' t_su_b : ', t_su_b(ji) |
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| 98 | WRITE(numout,*) |
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| 99 | ENDIF |
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| 100 | |
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| 101 | 20 CONTINUE |
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| 102 | |
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| 103 | ! |
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| 104 | !------------------------------------------------------------------------------| |
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| 105 | ! 2) Snowfall and surface melt | |
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| 106 | !------------------------------------------------------------------------------| |
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| 107 | ! |
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| 108 | DO 40 ji = kideb, kiut |
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| 109 | |
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| 110 | ! total snow heat content for conservation |
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| 111 | zqt_s_ini = q_s_b(ji,1) * ht_s_b(ji) |
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| 112 | |
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| 113 | IF ( l_write ) THEN |
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| 114 | WRITE(numout,*) ' Surface ablation and sublimation ... ' |
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| 115 | WRITE(numout,*) |
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| 116 | WRITE(numout,*) ' zqt_s_ini : ', zqt_s_ini / ddtb |
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| 117 | WRITE(numout,*) ' ht_s_b : ', ht_s_b(ji) |
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| 118 | WRITE(numout,*) ' q_s_b(1) : ', q_s_b(ji,1) |
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| 119 | WRITE(numout,*) |
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| 120 | ENDIF |
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| 121 | |
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| 122 | !---------- |
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| 123 | ! Snowfall |
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| 124 | !---------- |
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| 125 | dh_s_prec(ji) = hnpbqb(ji) |
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| 126 | dh_s_melt(ji) = 0.0 |
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| 127 | zqprec = rhon * ( cpg * ( tpw - tabqb(ji) ) + lfus ) |
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| 128 | |
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| 129 | ! Conservation update |
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| 130 | zqt_s_ini = zqt_s_ini + zqprec*hnpbqb(ji) |
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| 131 | fprec = - zqprec * hnpbqb(ji) / ddtb |
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| 132 | |
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| 133 | IF ( l_write ) THEN |
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| 134 | WRITE(numout,*) ' snow falls! ' |
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| 135 | WRITE(numout,*) ' dh_s_prec : ', dh_s_prec(ji) |
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| 136 | WRITE(numout,*) ' flux of h : ', |
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| 137 | & zqprec*hnpbqb(ji) / ddtb |
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| 138 | WRITE(numout,*) ' zqt_s_ini : ', zqt_s_ini / ddtb |
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| 139 | WRITE(numout,*) |
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| 140 | ENDIF |
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| 141 | |
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| 142 | !----------- |
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| 143 | ! Snow melt |
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| 144 | !----------- |
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| 145 | ! Energy available for surface melt |
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| 146 | zqfont_su = ( z_f_surf(ji) + f_s_im(ji) ) * ddtb |
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| 147 | IF ( l_write ) THEN |
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| 148 | WRITE(numout,*) ' snow melts! ' |
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| 149 | WRITE(numout,*) ' z_f_surf(ji) : ', z_f_surf(ji) |
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| 150 | WRITE(numout,*) ' f_s_im : ', f_s_im(ji) |
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| 151 | WRITE(numout,*) ' zqfont_su : ', zqfont_su |
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| 152 | ENDIF |
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| 153 | |
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| 154 | ! Melt of fallen snow |
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| 155 | zdeltah(1) = MIN( 0.0 , - zqfont_su / |
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| 156 | & MAX( zqprec , zeps ) ) |
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| 157 | zqfont_su = MAX( 0.0 , - dh_s_prec(ji) - zdeltah(1) ) * |
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| 158 | & zqprec |
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| 159 | zdeltah(1) = MAX( - dh_s_prec(ji), zdeltah(1) ) |
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| 160 | dh_s_melt(ji) = dh_s_melt(ji) + zdeltah(1) |
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| 161 | |
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| 162 | ! Melt / evaporation of snow |
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| 163 | zswi_evap = 0 |
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| 164 | WRITE(numout,*) ' ln_evap : ', ln_evap |
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| 165 | WRITE(numout,*) ' tdewb : ', tdewb(ji) |
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| 166 | IF ( ln_evap .AND. ( qsfcb(ji) .GT. qabqb(ji) ) .AND. |
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| 167 | & tdewb(ji) .LT. 1. ) zswi_evap = 1 |
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| 168 | |
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| 169 | DO layer = 1, nlay_s ! in case of melting of more than 1 layer |
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| 170 | zlvap = zswi_evap * rhon * ( lvap + cpg * ( tabqb(ji) - tpw ) ) ! MV new evaporation |
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| 171 | |
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| 172 | ! zdeltah(layer) = - zqfont_su / q_s_b(ji,layer) |
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| 173 | zdeltah(layer) = - zqfont_su / ( q_s_b(ji,layer) + zlvap ) |
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| 174 | zqfont_su = MAX( c_zero, - deltaz_s_phy(layer) - |
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| 175 | & zdeltah(layer) ) * |
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| 176 | ! & q_s_b(ji,layer) !MV new evaporation |
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| 177 | & ( q_s_b(ji,layer) + zlvap ) |
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| 178 | zdeltah(layer) = MAX( zdeltah(layer), - deltaz_s_phy(layer) ) |
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| 179 | dh_s_melt(ji) = dh_s_melt(ji) + zdeltah(layer) !resulting melt of snow |
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| 180 | END DO |
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| 181 | |
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| 182 | dh_s_tot(ji) = dh_s_melt(ji) + dh_s_prec(ji) |
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| 183 | |
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| 184 | ! old and new snow thicknesses |
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| 185 | hsold = ht_s_b(ji) |
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| 186 | hsnew = ht_s_b(ji) + dh_s_tot(ji) |
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| 187 | |
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| 188 | ! if snow is still present zhn = 1, else zhn = 0 |
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| 189 | zhn = 1.0 - MAX( c_zero , SIGN( one , - hsnew ) ) |
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| 190 | ht_s_b(ji) = MAX( c_zero , hsnew ) |
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| 191 | |
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| 192 | !++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 193 | ! Conservation test for snow |
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| 194 | zqt_s_fin = q_s_b(ji,1) * ht_s_b(ji) |
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| 195 | zdqt_s = zqt_s_fin - zqt_s_ini |
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| 196 | |
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| 197 | WRITE(numout,*) |
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| 198 | WRITE(numout,*) ' Conservation in snow... ' |
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| 199 | WRITE(numout,*) ' dh_s_melt : ', dh_s_melt(ji) |
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| 200 | WRITE(numout,*) ' dh_s_prec : ', dh_s_prec(ji) |
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| 201 | WRITE(numout,*) ' ht_s_b : ', ht_s_b(ji) |
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| 202 | WRITE(numout,*) ' zqt_s_ini : ', zqt_s_ini / ddtb |
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| 203 | WRITE(numout,*) ' zqt_s_fin : ', zqt_s_fin / ddtb |
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| 204 | WRITE(numout,*) ' zdqt_s : ', zdqt_s / ddtb |
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| 205 | WRITE(numout,*) ' z_f_surf : ', - z_f_surf(ji) |
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| 206 | IF ( zqt_s_fin.GT.0.0 ) THEN |
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| 207 | cons_err = ABS(zdqt_s / ddtb + z_f_surf(ji) ) |
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| 208 | ELSE |
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| 209 | cons_err = ABS(zqt_s_ini / ddtb + zdqt_s / ddtb ) |
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| 210 | ENDIF |
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| 211 | WRITE(numout,*) ' Cons error, snow : ', cons_err |
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| 212 | WRITE(numout,*) |
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| 213 | !++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 214 | |
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| 215 | !------------------ |
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| 216 | ! Ice surface melt |
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| 217 | !------------------ |
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| 218 | IF ( l_write ) WRITE(numout,*) ' ice melts! ' |
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| 219 | |
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| 220 | zzf_surf = zqfont_su / ddtb |
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| 221 | zdqt_i = 0.0 |
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| 222 | dh_i_surf(ji) = 0.0 |
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| 223 | DO layer = 1, nlay_i |
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| 224 | zdeltah(layer) = - zqfont_su / q_i_b(ji,layer) |
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| 225 | zqfont_su = MAX( c_zero , - deltaz_i_phy(layer) |
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| 226 | & - zdeltah(layer) ) * q_i_b(ji,layer) |
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| 227 | zdeltah(layer) = MAX( zdeltah(layer) , - deltaz_i_phy(layer) ) |
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| 228 | dh_i_surf(ji) = dh_i_surf(ji) + zdeltah(layer) !resulting melt of ice |
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| 229 | zdqt_i = zdqt_i + zdeltah(layer) * q_i_b(ji,layer) |
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| 230 | & / ddtb |
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| 231 | END DO |
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| 232 | |
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| 233 | cons_err = ABS( zzf_surf + zdqt_i ) |
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| 234 | |
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| 235 | IF ( l_write ) THEN |
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| 236 | WRITE(numout,*) ' Conservation in sea ice, surface ' |
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| 237 | WRITE(numout,*) ' dh_i_surf: ', dh_i_surf(ji) |
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| 238 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 239 | WRITE(numout,*) ' zzf_surf : ', zzf_surf |
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| 240 | WRITE(numout,*) ' zdqt_i : ', zdqt_i |
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| 241 | WRITE(numout,*) ' Cons error, ice : ', cons_err |
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| 242 | WRITE(numout,*) |
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| 243 | ENDIF |
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| 244 | |
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| 245 | ! |
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| 246 | !------------------------------------------------------------------------------| |
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| 247 | ! 3) Sublimation at the surface | |
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| 248 | !------------------------------------------------------------------------------| |
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| 249 | ! |
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| 250 | !------------------ |
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| 251 | ! Snow sublimation |
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| 252 | !------------------ |
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| 253 | |
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| 254 | !------------------ |
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| 255 | ! Ice sublimation |
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| 256 | !------------------ |
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| 257 | |
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| 258 | !------------------- |
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| 259 | ! Snow condensation |
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| 260 | !------------------- |
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| 261 | |
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| 262 | ! THIS IS DEFINITELY WRONG SINCE LATENT HEAT IS ALREADY COUNTED TO |
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| 263 | ! remove heat from the snow pack |
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| 264 | ! ! 4.3) Snow/ice sublimation |
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| 265 | ! ! |
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| 266 | ! ! If fleb is negative, snow condensates at the surface. |
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| 267 | ! ! |
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| 268 | dh_s_subl(ji) = + parsub*fleb(ji)/(rhon*lsub)*ddtb |
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| 269 | dh_s_tot(ji) = dh_s_tot(ji) + dh_s_subl(ji) |
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| 270 | zdhcf = ht_s_b(ji) + dh_s_subl(ji) |
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| 271 | ht_s_b(ji) = MAX(c_zero,zdhcf) |
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| 272 | dh_s_tot(ji) = ht_s_b(ji) - hsold |
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| 273 | dh_i_subl(ji) = - MAX(c_zero,-zdhcf)*rhon/rhog |
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| 274 | |
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| 275 | dh_i_surf(ji) = dh_i_surf(ji) + dh_i_subl(ji) |
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| 276 | |
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| 277 | hsnew = ht_s_b(ji) |
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| 278 | |
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| 279 | IF ( ht_s_b(ji) .LE. 0.0 ) THEN |
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| 280 | dh_s_tot(ji) = MAX( 0.0 , dh_s_tot(ji) ) |
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| 281 | ENDIF |
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| 282 | |
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| 283 | IF ( l_write ) THEN |
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| 284 | WRITE(numout,*) ' Snow sublimation ... ' |
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| 285 | WRITE(numout,*) ' ' |
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| 286 | WRITE(numout,*) ' parsub : ', parsub |
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| 287 | WRITE(numout,*) ' dh_s_subl : ', dh_s_subl(ji) |
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| 288 | WRITE(numout,*) ' dh_i_subl : ', dh_i_subl(ji) |
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| 289 | ENDIF |
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| 290 | |
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| 291 | 40 CONTINUE |
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| 292 | ! |
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| 293 | !------------------------------------------------------------------------------| |
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| 294 | ! 4) Basal growth and melt | |
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| 295 | !------------------------------------------------------------------------------| |
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| 296 | ! |
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| 297 | DO 50 ji = kideb, kiut |
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| 298 | |
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| 299 | IF ( l_write ) THEN |
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| 300 | WRITE(numout,*) ' Basal growth and melt ... ' |
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| 301 | WRITE(numout,*) |
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| 302 | WRITE(numout,*) ' fbbqb : ', fbbqb(ji) |
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| 303 | WRITE(numout,*) ' fc_bo_i : ', fc_bo_i(ji) |
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| 304 | WRITE(numout,*) |
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| 305 | ENDIF |
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| 306 | |
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| 307 | ! formation / melting of ice at the base is determined by the balance of |
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| 308 | ! the conductive heat flux in the ice (fc_bo_i), and the heat fluxes |
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| 309 | ! from the ocean (fbbqb). Conductive heat flux is positive |
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| 310 | ! downwards and fbbq is positive to the ice, i.e., upwards. |
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| 311 | ! Melt/formation rate is modulated by the enthalpy of the bottom ice layer. |
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| 312 | ! accretion of ice at the base |
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| 313 | |
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| 314 | !-------------- |
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| 315 | ! Basal growth |
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| 316 | !-------------- |
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| 317 | ! Initial value (tested 1D, can be anything between 1 and 20) |
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| 318 | s_i_new = 10.0 |
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| 319 | num_iter_max = 10 |
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| 320 | |
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| 321 | ! the growth rate (dh_i_bott) is function of the new ice |
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| 322 | ! heat content (q_i_b(nlay_i+1)). q_i_b depends on the new ice |
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| 323 | ! salinity (snewice). snewice depends on dh_i_bott |
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| 324 | ! it converges quickly, so, no problem |
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| 325 | |
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| 326 | ! Iterative procedure |
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| 327 | IF ( ( fc_bo_i(ji) + fbbqb(ji) ) .LT. 0.0 ) THEN |
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| 328 | |
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| 329 | IF ( l_write ) WRITE(numout,*) ' Energy available for |
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| 330 | & basal growth : ', |
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| 331 | & fc_bo_i(ji) + fbbqb(ji) |
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| 332 | |
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| 333 | DO iter = 1, num_iter_max |
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| 334 | tmelts = - tmut * s_i_new + tpw ! Melting point in K |
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| 335 | q_i_b(ji,nlay_i+1) = rhog*( cpg*(tmelts-t_bo_b(ji)) |
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| 336 | & + lfus*( 1.0-(tmelts-tpw) |
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| 337 | & / (t_bo_b(ji) - tpw) ) |
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| 338 | & - cpw*(tmelts-tpw) ) |
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| 339 | |
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| 340 | ! Bottom growth rate = - F*dt / q |
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| 341 | dh_i_bott(ji) = - ddtb*(fc_bo_i(ji) + fbbqb(ji) ) |
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| 342 | & / q_i_b(ji,nlay_i+1) |
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| 343 | ! |
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| 344 | ! New ice salinity ( Cox and Weeks, JGR, 1988 ) |
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| 345 | ! |
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| 346 | ! zswi2 (1) if dh_i_bott/rdt .GT. 3.6e-7 |
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| 347 | ! zswi12 (1) if dh_i_bott/rdt .LT. 3.6e-7 and .GT. 2.0e-8 |
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| 348 | ! zswi1 (1) if dh_i_bott/rdt .LT. 2.0e-8 |
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| 349 | ! |
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| 350 | zgrr = MIN( 1.0e-3, |
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| 351 | & MAX ( dh_i_bott(ji) / ddtb , zeps ) ) |
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| 352 | zswi2 = MAX( 0.0 , SIGN( 1.0d0 , zgrr - 3.6e-7 ) ) |
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| 353 | zswi12 = MAX( 0.0 , SIGN( 1.0d0 , zgrr - 2.0e-8 ) ) * |
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| 354 | & ( 1.0 - zswi2 ) |
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| 355 | zswi1 = 1. - zswi2 * zswi12 |
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| 356 | zfracs = zswi1 * 0.12 + |
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| 357 | & zswi12 * ( 0.8925 + 0.0568 * |
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| 358 | & LOG( 100.0 * zgrr ) ) + |
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| 359 | & zswi2 * 0.26 / |
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| 360 | & ( 0.26 + 0.74 * EXP ( - 724300.0 * zgrr ) ) |
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| 361 | zfracs = 1. |
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| 362 | zds = zfracs * oce_sal - s_i_new |
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| 363 | s_i_new = zfracs * oce_sal |
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| 364 | |
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| 365 | ! the brine volume in the skeletal layer is equal to f |
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| 366 | e_skel = zfracs |
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| 367 | |
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| 368 | ! salt flux due to initial salt entrapment |
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| 369 | fsbp = oce_sal * ( 1. - zfracs ) * dh_i_bott(ji) / ddtb * |
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| 370 | & rhog / 1000. |
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| 371 | |
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| 372 | ! WRITE(numout,*) |
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| 373 | ! WRITE(numout,*) ' ddtb : ', ddtb |
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| 374 | ! WRITE(numout,*) ' zgrr : ', zgrr |
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| 375 | ! WRITE(numout,*) ' zswi12 : ', zswi12 |
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| 376 | ! WRITE(numout,*) ' zswi1 : ', zswi1 |
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| 377 | ! WRITE(numout,*) ' zswi2 : ', zswi2 |
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| 378 | ! WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) |
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| 379 | ! WRITE(numout,*) ' oce_sal : ', oce_sal |
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| 380 | ! WRITE(numout,*) ' zfracs : ', zfracs |
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| 381 | ! WRITE(numout,*) ' s_i_new : ', s_i_new |
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| 382 | ! WRITE(numout,*) |
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| 383 | |
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| 384 | END DO ! iter |
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| 385 | ENDIF ! fc_bo_i |
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| 386 | |
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| 387 | IF ( l_write ) THEN |
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| 388 | WRITE(numout,*) ' e_skel : ', e_skel |
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| 389 | WRITE(numout,*) |
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| 390 | ENDIF |
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| 391 | |
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| 392 | ! Final values |
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| 393 | IF ( (fc_bo_i(ji)+fbbqb(ji)) .LT. 0.0 ) THEN |
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| 394 | ! New ice salinity must not exceed 15 psu |
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| 395 | zoldsinew = s_i_new |
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| 396 | ! TEST MARTIN NOV 2010 this line should be removed in future versions |
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| 397 | s_i_new = MIN( s_i_new , s_i_max ) |
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| 398 | ! Metling point in K |
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| 399 | tmelts = - tmut * s_i_new + tpw |
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| 400 | ! New ice heat content (Bitz and Lipscomb, 1999) |
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| 401 | q_i_b(ji,nlay_i+1) = rhog*( cpg*(tmelts-t_bo_b(ji)) |
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| 402 | & + lfus*( 1.0-(tmelts-tpw) |
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| 403 | & / (t_bo_b(ji) - tpw) ) |
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| 404 | & - cpw*(tmelts-tpw) ) |
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| 405 | dh_i_bott(ji) = - ddtb*(fc_bo_i(ji) + fbbqb(ji) ) |
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| 406 | & / q_i_b(ji,nlay_i+1) |
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| 407 | IF ( l_write ) WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) |
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| 408 | |
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| 409 | ENDIF |
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| 410 | |
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| 411 | !----------------- |
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| 412 | ! Basal melt |
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| 413 | !----------------- |
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| 414 | IF ( ( fc_bo_i(ji) + fbbqb(ji) ) .GE. 0.0 ) THEN |
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| 415 | |
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| 416 | IF ( l_write ) WRITE(numout,*) ' Energy available for |
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| 417 | & basal melt : ', |
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| 418 | & fc_bo_i(ji) + fbbqb(ji) |
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| 419 | |
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| 420 | zqfont_bo = ddtb * ( fc_bo_i(ji) + fbbqb(ji) ) |
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| 421 | zzf_base = zqfont_bo / ddtb |
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| 422 | zdqt_i = 0.0 |
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| 423 | |
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| 424 | IF ( l_write ) WRITE(numout,*) ' zqfont_bo : ', zqfont_bo |
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| 425 | |
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| 426 | dh_i_bott(ji) = 0.0 |
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| 427 | DO layer = nlay_i, 1, -1 |
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| 428 | zdeltah(layer) = - zqfont_bo / q_i_b(ji,layer) |
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| 429 | zqfont_bo = MAX ( 0.0 , - deltaz_i_phy(layer) - |
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| 430 | & zdeltah(layer) ) |
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| 431 | & * q_i_b(ji,layer) |
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| 432 | dh_i_bott(ji) = dh_i_bott(ji) + zdeltah(layer) |
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| 433 | zdqt_i = zdqt_i + zdeltah(layer) * |
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| 434 | & q_i_b(ji,layer) / ddtb |
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| 435 | END DO |
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| 436 | |
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| 437 | IF ( l_write ) WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) |
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| 438 | |
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| 439 | cons_err = ABS( zzf_base + zdqt_i ) |
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| 440 | |
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| 441 | IF ( l_write ) THEN |
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| 442 | WRITE(numout,*) ' Conservation in sea ice, base ' |
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| 443 | WRITE(numout,*) ' dh_i_bott: ', dh_i_bott(ji) |
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| 444 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 445 | WRITE(numout,*) ' zzf_base : ', zzf_base |
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| 446 | WRITE(numout,*) ' zdqt_i : ', zdqt_i |
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| 447 | ! WRITE(numout,*) ' Conservation error ice surface : ', |
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| 448 | ! & cons_err |
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| 449 | ! WRITE(numout,*) |
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| 450 | ENDIF |
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| 451 | |
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| 452 | ENDIF |
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| 453 | |
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| 454 | ! It can be than an internal temperature is greater than melt point |
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| 455 | ! then, see lim3 for correction |
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| 456 | |
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| 457 | ! new ice thickness |
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| 458 | zhgnew = ht_i_b(ji) + dh_i_surf(ji) + dh_i_bott(ji) |
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| 459 | old_ht_i_b(ji) = ht_i_b(ji) |
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| 460 | |
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| 461 | ht_i_b(ji) = zhgnew |
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| 462 | |
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| 463 | 50 CONTINUE |
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| 464 | |
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| 465 | ! |
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| 466 | !------------------------------------------------------------------------------| |
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| 467 | ! 5) Formation of snow-ice | |
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| 468 | !------------------------------------------------------------------------------| |
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| 469 | ! |
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| 470 | ! When snow load excesses Archimede's limit, snow-ice interface goes down |
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| 471 | ! under sea-level, flooding of seawater transforms snow into ice |
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| 472 | ! dh_snowice is positive for the ice |
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| 473 | |
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| 474 | DO 70 ji = kideb, kiut |
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| 475 | |
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| 476 | dh_snowice(ji) = MAX( c_zero , ( rhon * ht_s_b(ji) + (rhog -rho0 ) |
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| 477 | & * ht_i_b(ji)) / ( rhon + rho0 - rhog ) ) |
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| 478 | |
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| 479 | zhgnew = MAX( zhgnew , zhgnew + dh_snowice(ji) ) |
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| 480 | zhnnew = MIN( ht_s_b(ji) , ht_s_b(ji) - dh_snowice(ji) ) |
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| 481 | |
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| 482 | ht_s_b(ji) = zhnnew |
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| 483 | ht_i_b(ji) = zhgnew |
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| 484 | |
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| 485 | IF ( l_write ) THEN |
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| 486 | WRITE(numout,*) ' dh_snowice : ', dh_snowice(ji) |
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| 487 | WRITE(numout,*) |
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| 488 | WRITE(numout,*) ' At the end of the routine ... ' |
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| 489 | WRITE(numout,*) ' ht_s_b : ', ht_s_b(ji) |
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| 490 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
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| 491 | ENDIF |
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| 492 | |
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| 493 | ! give a minimum snow depth |
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| 494 | zhsnmin = 1.0e-10 |
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| 495 | isnow = 0 |
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| 496 | IF ( ht_s_b(ji) .GT. zhsnmin ) isnow = 1 |
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| 497 | ht_s_b(ji) = isnow * ht_s_b(ji) |
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| 498 | |
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| 499 | !--- Remove --- |
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| 500 | WRITE(numout,*) ' dh_i_bott : ', dh_i_bott(ji) |
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| 501 | WRITE(numout,*) ' dh_i_surf : ', dh_i_surf(ji) |
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| 502 | WRITE(numout,*) ' dh_i_snowice : ', dh_snowice(ji) |
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| 503 | WRITE(numout,*) ' dh_s_melt : ', dh_s_melt(ji) |
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| 504 | !--- Remove --- |
|---|
| 505 | |
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| 506 | 70 CONTINUE |
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| 507 | |
|---|
| 508 | RETURN |
|---|
| 509 | |
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| 510 | !------------------------------------------------------------------------------| |
|---|
| 511 | ! Fin de la subroutine ice_th_dh |
|---|
| 512 | END SUBROUTINE |
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