[825] | 1 | MODULE limthd_ent |
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| 2 | #if defined key_lim3 |
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[834] | 3 | !!---------------------------------------------------------------------- |
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| 4 | !! 'key_lim3' LIM3 sea-ice model |
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| 5 | !!---------------------------------------------------------------------- |
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[825] | 6 | !!====================================================================== |
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| 7 | !! *** MODULE limthd_ent *** |
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| 8 | !! Redistribution of Enthalpy in the ice |
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| 9 | !! on the new vertical grid |
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| 10 | !! after vertical growth/decay |
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| 11 | !!====================================================================== |
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[834] | 12 | !! lim_thd_ent : ice redistribution of enthalpy |
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[825] | 13 | |
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| 14 | !! * Modules used |
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| 15 | USE par_oce ! ocean parameters |
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| 16 | USE dom_oce |
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| 17 | USE domain |
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| 18 | USE in_out_manager |
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| 19 | USE phycst |
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| 20 | USE thd_ice |
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| 21 | USE iceini |
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| 22 | USE limistate |
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| 23 | USE ice |
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| 24 | USE limvar |
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| 25 | USE par_ice |
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[869] | 26 | USE lib_mpp |
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[825] | 27 | |
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| 28 | IMPLICIT NONE |
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| 29 | PRIVATE |
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| 30 | |
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| 31 | !! * Routine accessibility |
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| 32 | PUBLIC lim_thd_ent ! called by lim_thd |
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| 33 | |
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| 34 | !! * Module variables |
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| 35 | REAL(wp) :: & ! constant values |
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| 36 | epsi20 = 1.e-20 , & |
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| 37 | epsi13 = 1.e-13 , & |
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| 38 | zzero = 0.e0 , & |
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| 39 | zone = 1.e0 , & |
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| 40 | epsi10 = 1.0e-10 |
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| 41 | |
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| 42 | !!---------------------------------------------------------------------- |
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[1156] | 43 | !! LIM 3.0, UCL-LOCEAN-IPSL (2005) |
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| 44 | !! $Id$ |
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| 45 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[825] | 46 | !!---------------------------------------------------------------------- |
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[1156] | 47 | |
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[825] | 48 | CONTAINS |
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| 49 | |
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[921] | 50 | SUBROUTINE lim_thd_ent(kideb,kiut,jl) |
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[825] | 51 | !!------------------------------------------------------------------- |
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| 52 | !! *** ROUTINE lim_thd_ent *** |
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| 53 | !! |
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| 54 | !! ** Purpose : |
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| 55 | !! This routine computes new vertical grids |
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| 56 | !! in the ice and in the snow, and consistently redistributes |
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| 57 | !! temperatures in the snow / ice. |
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| 58 | !! Redistribution is made so as to ensure to energy conservation |
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| 59 | !! |
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| 60 | !! |
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| 61 | !! ** Method : linear conservative remapping |
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| 62 | !! |
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[834] | 63 | !! ** Steps : 1) Grid |
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| 64 | !! 2) Switches |
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| 65 | !! 3) Snow redistribution |
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| 66 | !! 4) Ice enthalpy redistribution |
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| 67 | !! 5) Ice salinity, recover temperature |
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[825] | 68 | !! |
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| 69 | !! ** Arguments |
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| 70 | !! |
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| 71 | !! ** Inputs / Outputs |
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| 72 | !! |
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| 73 | !! ** External |
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| 74 | !! |
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| 75 | !! ** References : Bitz & Lipscomb, JGR 99; Vancoppenolle et al., GRL, 2005 |
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| 76 | !! |
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| 77 | !! ** History : (05-2003) Martin V. UCL-Astr |
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| 78 | !! (07-2005) Martin for 3d adapatation |
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| 79 | !! (11-2006) Vectorized by Xavier Fettweis (ASTR) |
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[834] | 80 | !! (03-2008) Energy conservation and clean code |
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[825] | 81 | !! * Arguments |
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| 82 | |
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| 83 | INTEGER , INTENT(IN):: & |
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| 84 | kideb , & ! start point on which the the computation is applied |
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| 85 | kiut , & ! end point on which the the computation is applied |
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| 86 | jl ! thickness category number |
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| 87 | |
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| 88 | INTEGER :: & |
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[834] | 89 | ji,jk , & ! dummy loop indices |
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| 90 | zji, zjj , & ! dummy indices |
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[825] | 91 | ntop0 , & ! old layer top index |
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| 92 | nbot1 , & ! new layer bottom index |
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| 93 | ntop1 , & ! new layer top index |
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| 94 | limsum , & ! temporary loop index |
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| 95 | nlayi0,nlays0 , & ! old number of layers |
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| 96 | maxnbot0 , & ! old layer bottom index |
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| 97 | layer0, layer1 ! old/new layer indexes |
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| 98 | |
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| 99 | INTEGER, DIMENSION(jpij) :: & |
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| 100 | snswi , & ! snow switch |
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| 101 | nbot0 , & ! old layer bottom index |
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| 102 | icsuind , & ! ice surface index |
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| 103 | icsuswi , & ! ice surface switch |
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| 104 | icboind , & ! ice bottom index |
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| 105 | icboswi , & ! ice bottom switch |
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| 106 | snicind , & ! snow ice index |
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| 107 | snicswi , & ! snow ice switch |
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| 108 | snind ! snow index |
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| 109 | |
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| 110 | REAL(wp) :: & |
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| 111 | zeps, zeps6 , & ! numerical constant very small |
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| 112 | ztmelts , & ! ice melting point |
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| 113 | zqsnic , & ! enthalpy of snow ice layer |
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| 114 | zhsnow , & ! temporary snow thickness variable |
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| 115 | zswitch , & ! dummy switch argument |
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| 116 | zfac1 , & ! dummy factor |
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| 117 | zfac2 , & ! dummy factor |
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| 118 | ztform , & !: bottom formation temperature |
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| 119 | zaaa , & !: dummy factor |
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| 120 | zbbb , & !: dummy factor |
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| 121 | zccc , & !: dummy factor |
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| 122 | zdiscrim !: dummy factor |
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| 123 | |
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| 124 | REAL(wp), DIMENSION(jpij) :: & |
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| 125 | zh_i , & ! thickness of an ice layer |
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| 126 | zh_s , & ! thickness of a snow layer |
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| 127 | zqsnow , & ! enthalpy of the snow put in snow ice |
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| 128 | zdeltah ! temporary variable |
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| 129 | |
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| 130 | REAL(wp), DIMENSION(jpij,0:jkmax+3) :: & |
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| 131 | zm0 , & ! old layer-system vertical cotes |
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| 132 | qm0 , & ! old layer-system heat content |
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| 133 | z_s , & ! new snow system vertical cotes |
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| 134 | z_i , & ! new ice system vertical cotes |
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| 135 | zthick0 ! old ice thickness |
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| 136 | |
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| 137 | REAL(wp), DIMENSION(jpij,0:jkmax+3) :: & |
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| 138 | zhl0 ! old and new layer thicknesses |
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[921] | 139 | |
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[825] | 140 | REAL(wp), DIMENSION(0:jkmax+3,0:jkmax+3) :: & |
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| 141 | zrl01 |
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| 142 | |
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| 143 | ! Energy conservation |
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| 144 | REAL(wp), DIMENSION(jpij) :: & |
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[834] | 145 | zqti_in, zqts_in, & |
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| 146 | zqti_fin, zqts_fin |
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[825] | 147 | |
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[921] | 148 | !------------------------------------------------------------------------------| |
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[834] | 149 | |
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[825] | 150 | zeps = 1.0d-20 |
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| 151 | zeps6 = 1.0d-06 |
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[834] | 152 | zthick0(:,:) = 0.0 |
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| 153 | zm0(:,:) = 0.0 |
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| 154 | qm0(:,:) = 0.0 |
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| 155 | zrl01(:,:) = 0.0 |
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| 156 | zhl0(:,:) = 0.0 |
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| 157 | z_i(:,:) = 0.0 |
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| 158 | z_s(:,:) = 0.0 |
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[825] | 159 | |
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[921] | 160 | ! |
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| 161 | !------------------------------------------------------------------------------| |
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| 162 | ! 1) Grid | |
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| 163 | !------------------------------------------------------------------------------| |
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| 164 | ! |
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[825] | 165 | nlays0 = nlay_s |
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| 166 | nlayi0 = nlay_i |
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| 167 | |
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| 168 | DO ji = kideb, kiut |
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| 169 | zh_i(ji) = old_ht_i_b(ji) / nlay_i |
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| 170 | zh_s(ji) = old_ht_s_b(ji) / nlay_s |
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| 171 | ENDDO |
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| 172 | |
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[921] | 173 | ! |
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| 174 | !------------------------------------------------------------------------------| |
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| 175 | ! 2) Switches | |
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| 176 | !------------------------------------------------------------------------------| |
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| 177 | ! |
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[825] | 178 | ! 2.1 snind(ji), snswi(ji) |
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| 179 | ! snow surface behaviour : computation of snind(ji)-snswi(ji) |
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| 180 | ! snind(ji) : index which equals |
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| 181 | ! 0 if snow is accumulating |
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| 182 | ! 1 if 1st layer is melting |
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| 183 | ! 2 if 2nd layer is melting ... |
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| 184 | DO ji = kideb, kiut |
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[921] | 185 | snind(ji) = 0 |
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| 186 | zdeltah(ji) = 0.0 |
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[825] | 187 | ENDDO !ji |
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| 188 | |
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| 189 | DO jk = 1, nlays0 |
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[921] | 190 | DO ji = kideb, kiut |
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| 191 | snind(ji) = jk * INT(MAX(0.0,SIGN(1.0,-dh_s_tot(ji)-zdeltah(ji)-zeps))) & |
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| 192 | + snind(ji) * (1 - INT(MAX(0.0,SIGN(1.0,-dh_s_tot(ji)-zdeltah(ji)-zeps)))) |
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| 193 | zdeltah(ji)= zdeltah(ji) + zh_s(ji) |
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| 194 | END DO ! ji |
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[825] | 195 | ENDDO ! jk |
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| 196 | |
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| 197 | ! snswi(ji) : switch which value equals 1 if snow melts |
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| 198 | ! 0 if not |
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| 199 | DO ji = kideb, kiut |
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| 200 | snswi(ji) = MAX(0,INT(-dh_s_tot(ji)/MAX(zeps,ABS(dh_s_tot(ji))))) |
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| 201 | ENDDO ! ji |
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[921] | 202 | |
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[825] | 203 | ! 2.2 icsuind(ji), icsuswi(ji) |
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| 204 | ! ice surface behaviour : computation of icsuind(ji)-icsuswi(ji) |
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| 205 | ! icsuind(ji) : index which equals |
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| 206 | ! 0 if nothing happens at the surface |
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| 207 | ! 1 if first layer is melting |
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| 208 | ! 2 if 2nd layer is reached by melt ... |
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| 209 | DO ji = kideb, kiut |
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[921] | 210 | icsuind(ji) = 0 |
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| 211 | zdeltah(ji) = 0.0 |
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[825] | 212 | ENDDO !ji |
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| 213 | DO jk = 1, nlayi0 |
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[921] | 214 | DO ji = kideb, kiut |
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| 215 | icsuind(ji) = jk * INT(MAX(0.0,SIGN(1.0,-dh_i_surf(ji)-zdeltah(ji)-zeps))) & |
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| 216 | + icsuind(ji) * (1 - INT(MAX(0.0,SIGN(1.0,-dh_i_surf(ji)-zdeltah(ji)-zeps)))) |
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| 217 | zdeltah(ji) = zdeltah(ji) + zh_i(ji) |
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| 218 | END DO ! ji |
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[825] | 219 | ENDDO !jk |
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| 220 | |
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| 221 | ! icsuswi(ji) : switch which equals |
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| 222 | ! 1 if ice melts at the surface |
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| 223 | ! 0 if not |
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| 224 | DO ji = kideb, kiut |
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| 225 | icsuswi(ji) = MAX(0,INT(-dh_i_surf(ji)/MAX(zeps , ABS(dh_i_surf(ji)) ) ) ) |
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| 226 | ENDDO |
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| 227 | |
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| 228 | ! 2.3 icboind(ji), icboswi(ji) |
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| 229 | ! ice bottom behaviour : computation of icboind(ji)-icboswi(ji) |
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| 230 | ! icboind(ji) : index which equals |
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| 231 | ! 0 if accretion is on the way |
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| 232 | ! 1 if last layer has started to melt |
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| 233 | ! 2 if penultiem layer is melting ... and so on |
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| 234 | ! N+1 if all layers melt and that snow transforms into ice |
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| 235 | DO ji = kideb, kiut |
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[921] | 236 | icboind(ji) = 0 |
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| 237 | zdeltah(ji) = 0.0 |
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[825] | 238 | ENDDO |
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| 239 | DO jk = nlayi0, 1, -1 |
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[921] | 240 | DO ji = kideb, kiut |
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| 241 | icboind(ji) = (nlayi0+1-jk) & |
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| 242 | * INT(MAX(0.0,SIGN(1.0,-dh_i_bott(ji)-zdeltah(ji)-zeps))) & |
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| 243 | + icboind(ji) & |
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| 244 | * (1 - INT(MAX(0.0,SIGN(1.0,-dh_i_bott(ji)-zdeltah(ji)-zeps)))) |
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| 245 | zdeltah(ji) = zdeltah(ji) + zh_i(ji) |
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| 246 | END DO |
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[825] | 247 | ENDDO |
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| 248 | |
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| 249 | DO ji = kideb, kiut |
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| 250 | ! case of total ablation with remaining snow |
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| 251 | IF ( ( ht_i_b(ji) .GT. zeps ) .AND. & |
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[921] | 252 | ( ht_i_b(ji) - dh_snowice(ji) .LT. zeps ) ) icboind(ji) = nlay_i + 1 |
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[825] | 253 | END DO |
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| 254 | |
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| 255 | ! icboswi(ji) : switch which equals |
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| 256 | ! 1 if ice accretion is on the way |
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| 257 | ! 0 if ablation is on the way |
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| 258 | DO ji = kideb, kiut |
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| 259 | icboswi(ji) = MAX(0,INT(dh_i_bott(ji) / MAX(zeps,ABS(dh_i_bott(ji))))) |
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| 260 | ENDDO |
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| 261 | |
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| 262 | ! 2.4 snicind(ji), snicswi(ji) |
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| 263 | ! snow ice formation : calcul de snicind(ji)-snicswi(ji) |
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| 264 | ! snicind(ji) : index which equals |
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| 265 | ! 0 if no snow-ice forms |
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| 266 | ! 1 if last layer of snow has started to melt |
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| 267 | ! 2 if penultiem layer ... |
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| 268 | DO ji = kideb, kiut |
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[921] | 269 | snicind(ji) = 0 |
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| 270 | zdeltah(ji) = 0.0 |
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[825] | 271 | ENDDO |
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| 272 | DO jk = nlays0, 1, -1 |
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[921] | 273 | DO ji = kideb, kiut |
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| 274 | snicind(ji) = (nlays0+1-jk) & |
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| 275 | * INT(MAX(0.0,SIGN(1.0,dh_snowice(ji)-zdeltah(ji)-zeps))) & |
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| 276 | + snicind(ji) & |
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| 277 | * (1 - INT(MAX(0.0,SIGN(1.0,dh_snowice(ji)-zdeltah(ji)-zeps)))) |
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| 278 | zdeltah(ji) = zdeltah(ji) + zh_s(ji) |
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| 279 | END DO |
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[825] | 280 | ENDDO |
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| 281 | |
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| 282 | ! snicswi(ji) : switch which equals |
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| 283 | ! 1 if snow-ice forms |
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| 284 | ! 0 if not |
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| 285 | DO ji = kideb, kiut |
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[921] | 286 | snicswi(ji) = MAX(0,INT(dh_snowice(ji)/MAX(zeps,ABS(dh_snowice(ji))))) |
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[825] | 287 | ENDDO |
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| 288 | |
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[921] | 289 | ! |
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| 290 | !------------------------------------------------------------------------------| |
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| 291 | ! 3) Snow redistribution | |
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| 292 | !------------------------------------------------------------------------------| |
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| 293 | ! |
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[825] | 294 | !------------- |
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| 295 | ! Old profile |
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| 296 | !------------- |
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| 297 | |
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| 298 | ! by 'old', it is meant that layers coming from accretion are included, |
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| 299 | ! and that interfacial layers which were partly melted are reduced |
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| 300 | |
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| 301 | ! indexes of the vectors |
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| 302 | !------------------------ |
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| 303 | ntop0 = 1 |
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| 304 | maxnbot0 = 0 |
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| 305 | |
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| 306 | DO ji = kideb, kiut |
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[921] | 307 | nbot0(ji) = nlays0 + 1 - snind(ji) + ( 1. - snicind(ji) ) * & |
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| 308 | snicswi(ji) |
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| 309 | ! cotes of the top of the layers |
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| 310 | zm0(ji,0) = 0.0 |
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| 311 | maxnbot0 = MAX ( maxnbot0 , nbot0(ji) ) |
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| 312 | ENDDO |
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[869] | 313 | IF( lk_mpp ) CALL mpp_max( maxnbot0, kcom=ncomm_ice ) |
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[825] | 314 | |
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| 315 | DO jk = 1, maxnbot0 |
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[921] | 316 | DO ji = kideb, kiut |
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| 317 | !change |
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| 318 | limsum = ( 1 - snswi(ji) ) * ( jk - 1 ) + & |
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| 319 | snswi(ji) * ( jk + snind(ji) - 1 ) |
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| 320 | limsum = MIN( limsum , nlay_s ) |
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| 321 | zm0(ji,jk) = dh_s_tot(ji) + zh_s(ji) * limsum |
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| 322 | END DO |
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[825] | 323 | ENDDO |
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| 324 | |
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| 325 | DO ji = kideb, kiut |
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| 326 | zm0(ji,nbot0(ji)) = dh_s_tot(ji) - snicswi(ji) * dh_snowice(ji) + & |
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[921] | 327 | zh_s(ji) * nlays0 |
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[825] | 328 | zm0(ji,1) = dh_s_tot(ji) * (1 -snswi(ji) ) + & |
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[921] | 329 | snswi(ji) * zm0(ji,1) |
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[825] | 330 | ENDDO |
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| 331 | |
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| 332 | DO jk = ntop0, maxnbot0 |
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[921] | 333 | DO ji = kideb, kiut |
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| 334 | ! layer thickness |
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| 335 | zthick0(ji,jk) = zm0(ji,jk) - zm0(ji,jk-1) |
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| 336 | END DO |
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[825] | 337 | ENDDO |
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| 338 | |
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| 339 | zqts_in(:) = 0.0 |
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[921] | 340 | |
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[825] | 341 | DO ji = kideb, kiut |
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[921] | 342 | ! layer heat content |
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| 343 | qm0(ji,1) = rhosn * ( cpic * ( rtt - ( 1. - snswi(ji) ) * ( tatm_ice_1d(ji) ) & |
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| 344 | - snswi(ji) * t_s_b(ji,1) ) & |
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| 345 | + lfus ) * zthick0(ji,1) |
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| 346 | zqts_in(ji) = zqts_in(ji) + qm0(ji,1) |
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[825] | 347 | ENDDO |
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| 348 | |
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| 349 | DO jk = 2, maxnbot0 |
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[921] | 350 | DO ji = kideb, kiut |
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| 351 | limsum = ( 1 - snswi(ji) ) * ( jk - 1 ) + & |
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| 352 | snswi(ji) * ( jk + snind(ji) - 1 ) |
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| 353 | limsum = MIN( limsum , nlay_s ) |
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| 354 | qm0(ji,jk) = rhosn * ( cpic * ( rtt - t_s_b(ji,limsum) ) + lfus ) & |
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| 355 | * zthick0(ji,jk) |
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| 356 | zswitch = 1.0 - MAX (0.0, SIGN ( 1.0, zeps - ht_s_b(ji) ) ) |
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| 357 | zqts_in(ji) = zqts_in(ji) + ( 1. - snswi(ji) ) * qm0(ji,jk) * zswitch |
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| 358 | END DO ! jk |
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[825] | 359 | ENDDO ! ji |
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| 360 | |
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| 361 | !------------------------------------------------ |
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| 362 | ! Energy given by the snow in snow-ice formation |
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| 363 | !------------------------------------------------ |
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| 364 | ! zqsnow, enthalpy of the flooded snow |
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| 365 | DO ji = kideb, kiut |
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[921] | 366 | zqsnow(ji) = rhosn*lfus |
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| 367 | zdeltah(ji) = 0.0 |
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[825] | 368 | ENDDO |
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| 369 | |
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| 370 | DO jk = nlays0, 1, -1 |
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[921] | 371 | DO ji = kideb, kiut |
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| 372 | zhsnow = MAX(0.0,dh_snowice(ji)-zdeltah(ji)) |
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| 373 | zqsnow(ji) = zqsnow(ji) + & |
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| 374 | rhosn*cpic*(rtt-t_s_b(ji,jk)) |
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| 375 | zdeltah(ji) = zdeltah(ji) + zh_s(ji) |
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| 376 | END DO |
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[825] | 377 | ENDDO |
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| 378 | |
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| 379 | DO ji = kideb, kiut |
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| 380 | zqsnow(ji) = zqsnow(ji) * dh_snowice(ji) |
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| 381 | END DO |
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| 382 | |
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| 383 | !------------------ |
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[834] | 384 | ! new snow profile |
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[825] | 385 | !------------------ |
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| 386 | |
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| 387 | !-------------- |
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| 388 | ! Vector index |
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| 389 | !-------------- |
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| 390 | ntop1 = 1 |
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| 391 | nbot1 = nlay_s |
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| 392 | |
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| 393 | !------------------- |
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| 394 | ! Layer coordinates |
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| 395 | !------------------- |
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| 396 | DO ji = kideb, kiut |
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| 397 | zh_s(ji) = ht_s_b(ji) / nlay_s |
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| 398 | z_s(ji,0) = 0.0 |
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| 399 | ENDDO |
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| 400 | |
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| 401 | DO jk = 1, nlay_s |
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[921] | 402 | DO ji = kideb, kiut |
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| 403 | z_s(ji,jk) = zh_s(ji) * jk |
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| 404 | END DO |
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[825] | 405 | ENDDO |
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| 406 | |
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| 407 | !----------------- |
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| 408 | ! Layer thickness |
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| 409 | !----------------- |
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| 410 | DO layer0 = ntop0, maxnbot0 |
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[921] | 411 | DO ji = kideb, kiut |
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| 412 | zhl0(ji,layer0) = zm0(ji,layer0) - zm0(ji,layer0-1) |
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| 413 | END DO |
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[825] | 414 | ENDDO |
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| 415 | |
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| 416 | DO layer1 = ntop1, nbot1 |
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[921] | 417 | DO ji = kideb, kiut |
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| 418 | q_s_b(ji,layer1)= 0.0 |
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| 419 | END DO |
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[825] | 420 | ENDDO |
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| 421 | |
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| 422 | !---------------- |
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| 423 | ! Weight factors |
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| 424 | !---------------- |
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| 425 | DO layer0 = ntop0, maxnbot0 |
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[921] | 426 | DO layer1 = ntop1, nbot1 |
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| 427 | DO ji = kideb, kiut |
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| 428 | zrl01(layer1,layer0) = MAX(0.0,( MIN(zm0(ji,layer0),z_s(ji,layer1)) & |
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| 429 | - MAX(zm0(ji,layer0-1), z_s(ji,layer1-1)))/MAX(zhl0(ji,layer0),epsi10)) |
---|
| 430 | q_s_b(ji,layer1) = q_s_b(ji,layer1) + zrl01(layer1,layer0)*qm0(ji,layer0) & |
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| 431 | * MAX(0.0,SIGN(1.0,nbot0(ji)-layer0+zeps)) |
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| 432 | END DO |
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| 433 | END DO |
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[825] | 434 | ENDDO |
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| 435 | |
---|
| 436 | ! Heat conservation |
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| 437 | zqts_fin(:) = 0.0 |
---|
| 438 | DO jk = 1, nlay_s |
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| 439 | DO ji = kideb, kiut |
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| 440 | zqts_fin(ji) = zqts_fin(ji) + q_s_b(ji,jk) |
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| 441 | END DO |
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| 442 | END DO |
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| 443 | |
---|
| 444 | IF ( con_i ) THEN |
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[921] | 445 | DO ji = kideb, kiut |
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| 446 | IF ( ABS ( zqts_in(ji) - zqts_fin(ji) ) / rdt_ice .GT. 1.0e-6 ) THEN |
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| 447 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
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| 448 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
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| 449 | WRITE(numout,*) ' violation of heat conservation : ', & |
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| 450 | ABS ( zqts_in(ji) - zqts_fin(ji) ) / rdt_ice |
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| 451 | WRITE(numout,*) ' ji, jj : ', zji, zjj |
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| 452 | WRITE(numout,*) ' ht_s_b : ', ht_s_b(ji) |
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| 453 | WRITE(numout,*) ' zqts_in : ', zqts_in(ji) / rdt_ice |
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| 454 | WRITE(numout,*) ' zqts_fin : ', zqts_fin(ji) / rdt_ice |
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| 455 | WRITE(numout,*) ' dh_snowice : ', dh_snowice(ji) |
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| 456 | WRITE(numout,*) ' dh_s_tot : ', dh_s_tot(ji) |
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| 457 | WRITE(numout,*) ' snswi : ', snswi(ji) |
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| 458 | ENDIF |
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| 459 | END DO |
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[825] | 460 | ENDIF |
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| 461 | |
---|
| 462 | !--------------------- |
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| 463 | ! Recover heat content |
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| 464 | !--------------------- |
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[1724] | 465 | DO jk = 1, nlay_s |
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[825] | 466 | DO ji = kideb, kiut |
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| 467 | q_s_b(ji,jk) = q_s_b(ji,jk) / MAX( zh_s(ji) , zeps ) |
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| 468 | END DO !ji |
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| 469 | ENDDO !jk |
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| 470 | |
---|
| 471 | !--------------------- |
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| 472 | ! Recover temperature |
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| 473 | !--------------------- |
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| 474 | zfac1 = 1. / ( rhosn * cpic ) |
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| 475 | zfac2 = lfus / cpic |
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| 476 | DO jk = 1, nlay_s |
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[921] | 477 | DO ji = kideb, kiut |
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| 478 | zswitch = MAX ( 0.0 , SIGN ( 1.0, zeps - ht_s_b(ji) ) ) |
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| 479 | t_s_b(ji,jk) = rtt & |
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| 480 | + ( 1.0 - zswitch ) * & |
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| 481 | ( - zfac1 * q_s_b(ji,jk) + zfac2 ) |
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| 482 | END DO |
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[825] | 483 | ENDDO |
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[921] | 484 | ! |
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| 485 | !------------------------------------------------------------------------------| |
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| 486 | ! 4) Ice redistribution | |
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| 487 | !------------------------------------------------------------------------------| |
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| 488 | ! |
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[825] | 489 | !------------- |
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| 490 | ! OLD PROFILE |
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| 491 | !------------- |
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| 492 | |
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| 493 | !---------------- |
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| 494 | ! Vector indexes |
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| 495 | !---------------- |
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| 496 | ntop0 = 1 |
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| 497 | maxnbot0 = 0 |
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| 498 | |
---|
| 499 | DO ji = kideb, kiut |
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[921] | 500 | ! reference number of the bottommost layer |
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[825] | 501 | nbot0(ji) = MAX( 1 , MIN( nlayi0 + ( 1 - icboind(ji) ) + & |
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[921] | 502 | ( 1 - icsuind(ji) ) * icsuswi(ji) + snicswi(ji) , & |
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| 503 | nlay_i + 2 ) ) |
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[825] | 504 | ! maximum reference number of the bottommost layer over all domain |
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| 505 | maxnbot0 = MAX( maxnbot0 , nbot0(ji) ) |
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| 506 | ENDDO |
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| 507 | |
---|
| 508 | !------------------------- |
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| 509 | ! Cotes of old ice layers |
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| 510 | !------------------------- |
---|
| 511 | zm0(:,0) = 0.0 |
---|
[921] | 512 | |
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[825] | 513 | DO jk = 1, maxnbot0 |
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| 514 | DO ji = kideb, kiut |
---|
| 515 | ! jk goes from 1 to nbot0 |
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| 516 | ! the ice layer number goes from 1 to nlay_i |
---|
| 517 | ! limsum is the real ice layer number corresponding to present jk |
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[834] | 518 | limsum = ( (icsuswi(ji)*(icsuind(ji)+jk-1) + & |
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[921] | 519 | (1-icsuswi(ji))*jk))*(1-snicswi(ji)) + (jk-1)*snicswi(ji) |
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[825] | 520 | zm0(ji,jk)= icsuswi(ji)*dh_i_surf(ji) + snicswi(ji)*dh_snowice(ji) & |
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[921] | 521 | + limsum * zh_i(ji) |
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[825] | 522 | END DO |
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| 523 | ENDDO |
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| 524 | |
---|
| 525 | DO ji = kideb, kiut |
---|
| 526 | zm0(ji,nbot0(ji)) = icsuswi(ji)*dh_i_surf(ji) + snicswi(ji)*dh_snowice(ji) + dh_i_bott(ji) & |
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[921] | 527 | + zh_i(ji) * nlayi0 |
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[825] | 528 | zm0(ji,1) = snicswi(ji)*dh_snowice(ji) + (1-snicswi(ji))*zm0(ji,1) |
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| 529 | ENDDO |
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| 530 | |
---|
| 531 | !----------------------------- |
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| 532 | ! Thickness of old ice layers |
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| 533 | !----------------------------- |
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| 534 | DO jk = ntop0, maxnbot0 |
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[921] | 535 | DO ji = kideb, kiut |
---|
| 536 | zthick0(ji,jk) = zm0(ji,jk) - zm0(ji,jk-1) |
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| 537 | END DO |
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[825] | 538 | ENDDO |
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| 539 | |
---|
| 540 | !--------------------------- |
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| 541 | ! Inner layers heat content |
---|
| 542 | !--------------------------- |
---|
| 543 | qm0(:,:) = 0.0 |
---|
| 544 | zqti_in(:) = 0.0 |
---|
| 545 | |
---|
| 546 | DO jk = ntop0, maxnbot0 |
---|
| 547 | DO ji = kideb, kiut |
---|
| 548 | limsum = MAX(1,MIN(snicswi(ji)*(jk-1) + icsuswi(ji)*(jk-1+icsuind(ji)) + & |
---|
[921] | 549 | (1-icsuswi(ji))*(1-snicswi(ji))*jk,nlay_i)) |
---|
[825] | 550 | ztmelts = -tmut * s_i_b(ji,limsum) + rtt |
---|
| 551 | qm0(ji,jk) = rhoic * ( cpic * (ztmelts-t_i_b(ji,limsum)) + lfus * ( 1.0-(ztmelts-rtt)/ & |
---|
[921] | 552 | MIN((t_i_b(ji,limsum)-rtt),-zeps) ) - rcp*(ztmelts-rtt) ) & |
---|
| 553 | * zthick0(ji,jk) |
---|
[825] | 554 | END DO |
---|
| 555 | ENDDO |
---|
| 556 | |
---|
| 557 | !---------------------------- |
---|
| 558 | ! Bottom layers heat content |
---|
| 559 | !---------------------------- |
---|
| 560 | DO ji = kideb, kiut |
---|
[921] | 561 | ztmelts = ( 1.0 - icboswi(ji) ) * (-tmut * s_i_b(ji,nlayi0)) & ! case of melting ice |
---|
| 562 | + icboswi(ji) * (-tmut * s_i_new(ji)) & ! case of forming ice |
---|
| 563 | + rtt ! this temperature is in Celsius |
---|
[825] | 564 | |
---|
[921] | 565 | ! bottom formation temperature |
---|
| 566 | ztform = t_i_b(ji,nlay_i) |
---|
| 567 | IF ( ( num_sal .EQ. 2 ) .OR. ( num_sal .EQ. 4 ) ) ztform = t_bo_b(ji) |
---|
| 568 | qm0(ji,nbot0(ji)) = ( 1.0 - icboswi(ji) )*qm0(ji,nbot0(ji)) & ! case of melting ice |
---|
| 569 | + icboswi(ji) * & ! case of forming ice |
---|
| 570 | rhoic*( cpic*(ztmelts-ztform) & |
---|
| 571 | + lfus *( 1.0-(ztmelts-rtt)/ & |
---|
| 572 | MIN ( (ztform-rtt) , - epsi10 ) ) & |
---|
| 573 | - rcp*(ztmelts-rtt) ) & |
---|
| 574 | *zthick0(ji,nbot0(ji)) |
---|
[825] | 575 | ENDDO |
---|
| 576 | |
---|
| 577 | !----------------------------- |
---|
| 578 | ! Snow ice layer heat content |
---|
| 579 | !----------------------------- |
---|
| 580 | DO ji = kideb, kiut |
---|
| 581 | ! energy of the flooding seawater |
---|
| 582 | zqsnic = rau0 * rcp * ( rtt - t_bo_b(ji) ) * dh_snowice(ji) * & |
---|
[921] | 583 | (rhoic - rhosn) / rhoic * snicswi(ji) ! generally positive |
---|
[825] | 584 | ! Heat conservation diagnostic |
---|
| 585 | qt_i_in(ji,jl) = qt_i_in(ji,jl) + zqsnic |
---|
| 586 | |
---|
| 587 | qldif_1d(ji) = qldif_1d(ji) + zqsnic * a_i_b(ji) |
---|
| 588 | |
---|
| 589 | ! enthalpy of the newly formed snow-ice layer |
---|
| 590 | ! = enthalpy of snow + enthalpy of frozen water |
---|
| 591 | zqsnic = zqsnow(ji) + zqsnic |
---|
| 592 | qm0(ji,1) = snicswi(ji) * zqsnic + ( 1 - snicswi(ji) ) * qm0(ji,1) |
---|
| 593 | |
---|
| 594 | ENDDO ! ji |
---|
| 595 | |
---|
| 596 | DO jk = ntop0, maxnbot0 |
---|
[921] | 597 | DO ji = kideb, kiut |
---|
| 598 | ! Heat conservation |
---|
| 599 | zqti_in(ji) = zqti_in(ji) + qm0(ji,jk) & |
---|
| 600 | * MAX( 0.0 , SIGN(1.0,ht_i_b(ji)-zeps6+zeps) ) & |
---|
| 601 | * MAX( 0.0 , SIGN( 1. , nbot0(ji) - jk + zeps ) ) |
---|
| 602 | END DO |
---|
[825] | 603 | ENDDO |
---|
| 604 | |
---|
| 605 | !------------- |
---|
| 606 | ! NEW PROFILE |
---|
| 607 | !------------- |
---|
| 608 | |
---|
| 609 | !--------------- |
---|
| 610 | ! Vectors index |
---|
| 611 | !--------------- |
---|
| 612 | |
---|
| 613 | ntop1 = 1 |
---|
| 614 | nbot1 = nlay_i |
---|
| 615 | |
---|
| 616 | !------------------ |
---|
| 617 | ! Layers thickness |
---|
| 618 | !------------------ |
---|
| 619 | DO ji = kideb, kiut |
---|
[921] | 620 | zh_i(ji) = ht_i_b(ji) / nlay_i |
---|
[825] | 621 | ENDDO |
---|
| 622 | |
---|
| 623 | !------------- |
---|
| 624 | ! Layer cotes |
---|
| 625 | !------------- |
---|
| 626 | z_i(:,0) = 0.0 |
---|
| 627 | DO jk = 1, nlay_i |
---|
[921] | 628 | DO ji = kideb, kiut |
---|
| 629 | z_i(ji,jk) = zh_i(ji) * jk |
---|
| 630 | END DO |
---|
[825] | 631 | ENDDO |
---|
| 632 | |
---|
| 633 | !--thicknesses of the layers |
---|
| 634 | DO layer0 = ntop0, maxnbot0 |
---|
[921] | 635 | DO ji = kideb, kiut |
---|
| 636 | zhl0(ji,layer0) = zm0(ji,layer0) - zm0(ji,layer0-1) !thicknesses of the layers |
---|
| 637 | END DO |
---|
[825] | 638 | ENDDO |
---|
| 639 | |
---|
| 640 | !------------------------ |
---|
| 641 | ! Weights for relayering |
---|
| 642 | !------------------------ |
---|
| 643 | |
---|
| 644 | q_i_b(:,:) = 0.0 |
---|
| 645 | DO layer0 = ntop0, maxnbot0 |
---|
[921] | 646 | DO layer1 = ntop1, nbot1 |
---|
| 647 | DO ji = kideb, kiut |
---|
| 648 | zrl01(layer1,layer0) = MAX(0.0,( MIN(zm0(ji,layer0),z_i(ji,layer1)) & |
---|
| 649 | - MAX(zm0(ji,layer0-1), z_i(ji,layer1-1)))/MAX(zhl0(ji,layer0),epsi10)) |
---|
| 650 | q_i_b(ji,layer1) = q_i_b(ji,layer1) & |
---|
| 651 | + zrl01(layer1,layer0)*qm0(ji,layer0) & |
---|
| 652 | * MAX(0.0,SIGN(1.0,ht_i_b(ji)-zeps6+zeps)) & |
---|
| 653 | * MAX(0.0,SIGN(1.0,nbot0(ji)-layer0+zeps)) |
---|
| 654 | END DO |
---|
| 655 | END DO |
---|
[825] | 656 | ENDDO |
---|
| 657 | |
---|
| 658 | !------------------------- |
---|
| 659 | ! Heat conservation check |
---|
| 660 | !------------------------- |
---|
| 661 | zqti_fin(:) = 0.0 |
---|
| 662 | DO jk = 1, nlay_i |
---|
| 663 | DO ji = kideb, kiut |
---|
| 664 | zqti_fin(ji) = zqti_fin(ji) + q_i_b(ji,jk) |
---|
| 665 | END DO |
---|
| 666 | END DO |
---|
[921] | 667 | ! |
---|
[825] | 668 | DO ji = kideb, kiut |
---|
| 669 | IF ( ABS ( zqti_in(ji) - zqti_fin(ji) ) / rdt_ice .GT. 1.0e-6 ) THEN |
---|
| 670 | zji = MOD( npb(ji) - 1, jpi ) + 1 |
---|
| 671 | zjj = ( npb(ji) - 1 ) / jpi + 1 |
---|
| 672 | WRITE(numout,*) ' violation of heat conservation : ', & |
---|
[921] | 673 | ABS ( zqti_in(ji) - zqti_fin(ji) ) / rdt_ice |
---|
[825] | 674 | WRITE(numout,*) ' ji, jj : ', zji, zjj |
---|
| 675 | WRITE(numout,*) ' ht_i_b : ', ht_i_b(ji) |
---|
| 676 | WRITE(numout,*) ' zqti_in : ', zqti_in(ji) / rdt_ice |
---|
| 677 | WRITE(numout,*) ' zqti_fin : ', zqti_fin(ji) / rdt_ice |
---|
| 678 | WRITE(numout,*) ' dh_i_bott: ', dh_i_bott(ji) |
---|
| 679 | WRITE(numout,*) ' dh_i_surf: ', dh_i_surf(ji) |
---|
| 680 | WRITE(numout,*) ' dh_snowice:', dh_snowice(ji) |
---|
| 681 | WRITE(numout,*) ' icsuswi : ', icsuswi(ji) |
---|
| 682 | WRITE(numout,*) ' icboswi : ', icboswi(ji) |
---|
| 683 | WRITE(numout,*) ' snicswi : ', snicswi(ji) |
---|
| 684 | ENDIF |
---|
| 685 | END DO |
---|
| 686 | |
---|
| 687 | !---------------------- |
---|
| 688 | ! Recover heat content |
---|
| 689 | !---------------------- |
---|
| 690 | DO jk = 1, nlay_i |
---|
| 691 | DO ji = kideb, kiut |
---|
| 692 | q_i_b(ji,jk) = q_i_b(ji,jk) / MAX( zh_i(ji) , zeps ) |
---|
| 693 | END DO !ji |
---|
| 694 | ENDDO !jk |
---|
| 695 | |
---|
| 696 | ! Heat conservation |
---|
| 697 | zqti_fin(:) = 0.0 |
---|
| 698 | DO jk = 1, nlay_i |
---|
| 699 | DO ji = kideb, kiut |
---|
| 700 | zqti_fin(ji) = zqti_fin(ji) + q_i_b(ji,jk) * zh_i(ji) |
---|
| 701 | END DO |
---|
| 702 | END DO |
---|
[834] | 703 | |
---|
[921] | 704 | ! |
---|
| 705 | !------------------------------------------------------------------------------| |
---|
| 706 | ! 5) Update salinity and recover temperature | |
---|
| 707 | !------------------------------------------------------------------------------| |
---|
| 708 | ! |
---|
[834] | 709 | ! Update salinity (basal entrapment, snow ice formation) |
---|
[825] | 710 | DO ji = kideb, kiut |
---|
| 711 | sm_i_b(ji) = sm_i_b(ji) & |
---|
[921] | 712 | + dsm_i_se_1d(ji) + dsm_i_si_1d(ji) |
---|
[825] | 713 | END DO !ji |
---|
| 714 | |
---|
| 715 | ! Recover temperature |
---|
| 716 | DO jk = 1, nlay_i |
---|
| 717 | |
---|
| 718 | DO ji = kideb, kiut |
---|
| 719 | |
---|
| 720 | ztmelts = -tmut*s_i_b(ji,jk) + rtt |
---|
| 721 | !Conversion q(S,T) -> T (second order equation) |
---|
| 722 | zaaa = cpic |
---|
| 723 | zbbb = ( rcp - cpic ) * ( ztmelts - rtt ) + & |
---|
[921] | 724 | q_i_b(ji,jk) / rhoic - lfus |
---|
[825] | 725 | zccc = lfus * ( ztmelts - rtt ) |
---|
| 726 | zdiscrim = SQRT( MAX(zbbb*zbbb - 4.0*zaaa*zccc,0.0) ) |
---|
| 727 | t_i_b(ji,jk) = rtt - ( zbbb + zdiscrim ) / & |
---|
[921] | 728 | ( 2.0 *zaaa ) |
---|
[825] | 729 | END DO !ji |
---|
| 730 | |
---|
| 731 | END DO !jk |
---|
| 732 | |
---|
[921] | 733 | END SUBROUTINE lim_thd_ent |
---|
[825] | 734 | |
---|
| 735 | #else |
---|
| 736 | !!====================================================================== |
---|
| 737 | !! *** MODULE limthd_ent *** |
---|
| 738 | !! no sea ice model |
---|
| 739 | !!====================================================================== |
---|
| 740 | CONTAINS |
---|
| 741 | SUBROUTINE lim_thd_ent ! Empty routine |
---|
| 742 | END SUBROUTINE lim_thd_ent |
---|
| 743 | #endif |
---|
[921] | 744 | END MODULE limthd_ent |
---|