[825] | 1 | MODULE limrhg |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limrhg *** |
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[834] | 4 | !! Ice rheology : sea ice rheology |
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[825] | 5 | !!====================================================================== |
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[1244] | 6 | !! History : - ! 2007-03 (M.A. Morales Maqueda, S. Bouillon) Original code |
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| 7 | !! 3.0 ! 2008-03 (M. Vancoppenolle) LIM3 |
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| 8 | !! - ! 2008-11 (M. Vancoppenolle, S. Bouillon, Y. Aksenov) add surface tilt in ice rheolohy |
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[2319] | 9 | !! 3.3 ! 2009-05 (G.Garric) addition of the lim2_evp cas |
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[1244] | 10 | !!---------------------------------------------------------------------- |
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[2319] | 11 | #if defined key_lim3 || ( defined key_lim2 && ! defined key_lim2_vp ) |
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[825] | 12 | !!---------------------------------------------------------------------- |
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[834] | 13 | !! 'key_lim3' LIM3 sea-ice model |
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[825] | 14 | !!---------------------------------------------------------------------- |
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| 15 | !! lim_rhg : computes ice velocities |
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| 16 | !!---------------------------------------------------------------------- |
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| 17 | !! * Modules used |
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| 18 | USE phycst |
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| 19 | USE par_oce |
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| 20 | USE dom_oce |
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[1244] | 21 | USE sbc_oce ! Surface boundary condition: ocean fields |
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[888] | 22 | USE sbc_ice ! Surface boundary condition: ice fields |
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[825] | 23 | USE lbclnk |
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| 24 | USE lib_mpp |
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| 25 | USE in_out_manager ! I/O manager |
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| 26 | USE limitd_me |
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| 27 | USE prtctl ! Print control |
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[2319] | 28 | #if defined key_lim3 |
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| 29 | USE ice |
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| 30 | USE dom_ice |
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| 31 | USE iceini |
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| 32 | #endif |
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| 33 | #if defined key_lim2 && ! defined key_lim2_vp |
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| 34 | USE ice_2 ! LIM2: ice variables |
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| 35 | USE dom_ice_2 ! LIM2: ice domain |
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| 36 | USE iceini_2 ! LIM2: ice initialisation |
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| 37 | #endif |
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[825] | 38 | |
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| 39 | |
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| 40 | IMPLICIT NONE |
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| 41 | PRIVATE |
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| 42 | |
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| 43 | !! * Routine accessibility |
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| 44 | PUBLIC lim_rhg ! routine called by lim_dyn |
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| 45 | |
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[868] | 46 | !! * Substitutions |
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| 47 | # include "vectopt_loop_substitute.h90" |
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| 48 | |
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[825] | 49 | !! * Module variables |
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| 50 | REAL(wp) :: & ! constant values |
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| 51 | rzero = 0.e0 , & |
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| 52 | rone = 1.e0 |
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| 53 | !!---------------------------------------------------------------------- |
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[2287] | 54 | !! NEMO/LIM3 3.3 , UCL - NEMO Consortium (2010) |
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[1156] | 55 | !! $Id$ |
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[2287] | 56 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 57 | !!---------------------------------------------------------------------- |
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| 58 | |
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| 59 | CONTAINS |
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| 60 | |
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| 61 | SUBROUTINE lim_rhg( k_j1, k_jpj ) |
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[834] | 62 | |
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[825] | 63 | !!------------------------------------------------------------------- |
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[834] | 64 | !! *** SUBROUTINE lim_rhg *** |
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| 65 | !! EVP-C-grid |
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[825] | 66 | !! |
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[834] | 67 | !! ** purpose : determines sea ice drift from wind stress, ice-ocean |
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[825] | 68 | !! stress and sea-surface slope. Ice-ice interaction is described by |
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[834] | 69 | !! a non-linear elasto-viscous-plastic (EVP) law including shear |
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| 70 | !! strength and a bulk rheology (Hunke and Dukowicz, 2002). |
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[825] | 71 | !! |
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[834] | 72 | !! The points in the C-grid look like this, dear reader |
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[825] | 73 | !! |
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[834] | 74 | !! (ji,jj) |
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| 75 | !! | |
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| 76 | !! | |
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| 77 | !! (ji-1,jj) | (ji,jj) |
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| 78 | !! --------- |
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| 79 | !! | | |
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| 80 | !! | (ji,jj) |------(ji,jj) |
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| 81 | !! | | |
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| 82 | !! --------- |
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| 83 | !! (ji-1,jj-1) (ji,jj-1) |
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[825] | 84 | !! |
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[834] | 85 | !! ** Inputs : - wind forcing (stress), oceanic currents |
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| 86 | !! ice total volume (vt_i) per unit area |
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| 87 | !! snow total volume (vt_s) per unit area |
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[825] | 88 | !! |
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[834] | 89 | !! ** Action : - compute u_ice, v_ice : the components of the |
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| 90 | !! sea-ice velocity vector |
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| 91 | !! - compute delta_i, shear_i, divu_i, which are inputs |
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| 92 | !! of the ice thickness distribution |
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[825] | 93 | !! |
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[834] | 94 | !! ** Steps : 1) Compute ice snow mass, ice strength |
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| 95 | !! 2) Compute wind, oceanic stresses, mass terms and |
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| 96 | !! coriolis terms of the momentum equation |
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| 97 | !! 3) Solve the momentum equation (iterative procedure) |
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| 98 | !! 4) Prevent high velocities if the ice is thin |
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| 99 | !! 5) Recompute invariants of the strain rate tensor |
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| 100 | !! which are inputs of the ITD, store stress |
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| 101 | !! for the next time step |
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| 102 | !! 6) Control prints of residual (convergence) |
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| 103 | !! and charge ellipse. |
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| 104 | !! The user should make sure that the parameters |
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| 105 | !! nevp, telast and creepl maintain stress state |
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| 106 | !! on the charge ellipse for plastic flow |
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| 107 | !! e.g. in the Canadian Archipelago |
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| 108 | !! |
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| 109 | !! ** References : Hunke and Dukowicz, JPO97 |
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| 110 | !! Bouillon et al., 08, in prep (update this when |
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| 111 | !! published) |
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| 112 | !! Vancoppenolle et al., OM08 |
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| 113 | !! |
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[825] | 114 | !!------------------------------------------------------------------- |
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| 115 | ! * Arguments |
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| 116 | ! |
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| 117 | INTEGER, INTENT(in) :: & |
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[834] | 118 | k_j1 , & !: southern j-index for ice computation |
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| 119 | k_jpj !: northern j-index for ice computation |
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[825] | 120 | |
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| 121 | ! * Local variables |
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[834] | 122 | INTEGER :: ji, jj !: dummy loop indices |
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[825] | 123 | |
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| 124 | INTEGER :: & |
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[868] | 125 | jter !: temporary integers |
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[825] | 126 | |
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| 127 | CHARACTER (len=50) :: charout |
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| 128 | |
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| 129 | REAL(wp) :: & |
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[834] | 130 | zt11, zt12, zt21, zt22, & !: temporary scalars |
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| 131 | ztagnx, ztagny, & !: wind stress on U/V points |
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| 132 | delta ! |
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[825] | 133 | |
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| 134 | REAL(wp) :: & |
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[834] | 135 | za, & !: |
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| 136 | zstms, & !: temporary scalar for ice strength |
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| 137 | zsang, & !: temporary scalar for coriolis term |
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| 138 | zmask !: mask for the computation of ice mass |
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[825] | 139 | |
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[834] | 140 | REAL(wp),DIMENSION(jpi,jpj) :: & |
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| 141 | zpresh , & !: temporary array for ice strength |
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| 142 | zpreshc , & !: Ice strength on grid cell corners (zpreshc) |
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| 143 | zfrld1, zfrld2, & !: lead fraction on U/V points |
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| 144 | zmass1, zmass2, & !: ice/snow mass on U/V points |
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| 145 | zcorl1, zcorl2, & !: coriolis parameter on U/V points |
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| 146 | za1ct, za2ct , & !: temporary arrays |
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| 147 | zc1 , & !: ice mass |
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| 148 | zusw , & !: temporary weight for the computation |
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[921] | 149 | !: of ice strength |
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[834] | 150 | u_oce1, v_oce1, & !: ocean u/v component on U points |
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| 151 | u_oce2, v_oce2, & !: ocean u/v component on V points |
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| 152 | u_ice2, & !: ice u component on V point |
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| 153 | v_ice1 !: ice v component on U point |
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[825] | 154 | |
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| 155 | REAL(wp) :: & |
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[834] | 156 | dtevp, & !: time step for subcycling |
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| 157 | dtotel, & !: |
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| 158 | ecc2, & !: square of yield ellipse eccenticity |
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| 159 | z0, & !: temporary scalar |
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| 160 | zr, & !: temporary scalar |
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| 161 | zcca, zccb, & !: temporary scalars |
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| 162 | zu_ice2, & !: |
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| 163 | zv_ice1, & !: |
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| 164 | zddc, zdtc, & !: temporary array for delta on corners |
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| 165 | zdst, & !: temporary array for delta on centre |
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| 166 | zdsshx, zdsshy, & !: term for the gradient of ocean surface |
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| 167 | sigma1, sigma2 !: internal ice stress |
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[825] | 168 | |
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[834] | 169 | REAL(wp),DIMENSION(jpi,jpj) :: & |
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| 170 | zf1, zf2 !: arrays for internal stresses |
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[825] | 171 | |
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[834] | 172 | REAL(wp),DIMENSION(jpi,jpj) :: & |
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| 173 | zdd, zdt, & !: Divergence and tension at centre of grid cells |
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| 174 | zds, & !: Shear on northeast corner of grid cells |
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| 175 | deltat, & !: Delta at centre of grid cells |
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| 176 | deltac, & !: Delta on corners |
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| 177 | zs1, zs2, & !: Diagonal stress tensor components zs1 and zs2 |
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| 178 | zs12 !: Non-diagonal stress tensor component zs12 |
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[825] | 179 | |
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[834] | 180 | REAL(wp) :: & |
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| 181 | zresm , & !: Maximal error on ice velocity |
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| 182 | zindb , & !: ice (1) or not (0) |
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| 183 | zdummy !: dummy argument |
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[825] | 184 | |
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[834] | 185 | REAL(wp),DIMENSION(jpi,jpj) :: & |
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| 186 | zu_ice , & !: Ice velocity on previous time step |
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| 187 | zv_ice , & |
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| 188 | zresr !: Local error on velocity |
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[2319] | 189 | !!------------------------------------------------------------------- |
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[825] | 190 | |
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[2319] | 191 | #if defined key_lim2 && ! defined key_lim2_vp |
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| 192 | vt_s => hsnm |
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| 193 | vt_i => hicm |
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| 194 | at_i(:,:) = 1. - frld(:,:) |
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| 195 | #endif |
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[921] | 196 | ! |
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| 197 | !------------------------------------------------------------------------------! |
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| 198 | ! 1) Ice-Snow mass (zc1), ice strength (zpresh) ! |
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| 199 | !------------------------------------------------------------------------------! |
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| 200 | ! |
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[825] | 201 | ! Put every vector to 0 |
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[868] | 202 | zpresh(:,:) = 0.0 ; zc1(:,:) = 0.0 |
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| 203 | zpreshc(:,:) = 0.0 |
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| 204 | u_ice2(:,:) = 0.0 ; v_ice1(:,:) = 0.0 |
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[825] | 205 | zdd(:,:) = 0.0 ; zdt(:,:) = 0.0 ; zds(:,:) = 0.0 |
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| 206 | |
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[2319] | 207 | #if defined key_lim3 |
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[834] | 208 | ! Ice strength on T-points |
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[825] | 209 | CALL lim_itd_me_icestrength(ridge_scheme_swi) |
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[2319] | 210 | #endif |
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[825] | 211 | |
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[834] | 212 | ! Ice mass and temp variables |
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[868] | 213 | !CDIR NOVERRCHK |
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| 214 | DO jj = k_j1 , k_jpj |
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| 215 | !CDIR NOVERRCHK |
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[825] | 216 | DO ji = 1 , jpi |
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| 217 | zc1(ji,jj) = tms(ji,jj) * ( rhosn * vt_s(ji,jj) + rhoic * vt_i(ji,jj) ) |
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[2319] | 218 | #if defined key_lim3 |
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[825] | 219 | zpresh(ji,jj) = tms(ji,jj) * strength(ji,jj) / 2. |
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[2319] | 220 | #endif |
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[866] | 221 | ! tmi = 1 where there is ice or on land |
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| 222 | tmi(ji,jj) = 1.0 - ( 1.0 - MAX( 0.0 , SIGN ( 1.0 , vt_i(ji,jj) - & |
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[921] | 223 | epsd ) ) ) * tms(ji,jj) |
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[825] | 224 | END DO |
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| 225 | END DO |
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| 226 | |
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[834] | 227 | ! Ice strength on grid cell corners (zpreshc) |
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| 228 | ! needed for calculation of shear stress |
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[868] | 229 | !CDIR NOVERRCHK |
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[825] | 230 | DO jj = k_j1+1, k_jpj-1 |
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[868] | 231 | !CDIR NOVERRCHK |
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| 232 | DO ji = 2, jpim1 !RB caution no fs_ (ji+1,jj+1) |
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[921] | 233 | zstms = tms(ji+1,jj+1) * wght(ji+1,jj+1,2,2) + & |
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| 234 | & tms(ji,jj+1) * wght(ji+1,jj+1,1,2) + & |
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| 235 | & tms(ji+1,jj) * wght(ji+1,jj+1,2,1) + & |
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| 236 | & tms(ji,jj) * wght(ji+1,jj+1,1,1) |
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| 237 | zusw(ji,jj) = 1.0 / MAX( zstms, epsd ) |
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| 238 | zpreshc(ji,jj) = ( zpresh(ji+1,jj+1) * wght(ji+1,jj+1,2,2) + & |
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| 239 | & zpresh(ji,jj+1) * wght(ji+1,jj+1,1,2) + & |
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| 240 | & zpresh(ji+1,jj) * wght(ji+1,jj+1,2,1) + & |
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| 241 | & zpresh(ji,jj) * wght(ji+1,jj+1,1,1) & |
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| 242 | & ) * zusw(ji,jj) |
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[825] | 243 | END DO |
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| 244 | END DO |
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| 245 | |
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| 246 | CALL lbc_lnk( zpreshc(:,:), 'F', 1. ) |
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[921] | 247 | ! |
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| 248 | !------------------------------------------------------------------------------! |
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| 249 | ! 2) Wind / ocean stress, mass terms, coriolis terms |
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| 250 | !------------------------------------------------------------------------------! |
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| 251 | ! |
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[825] | 252 | ! Wind stress, coriolis and mass terms on the sides of the squares |
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| 253 | ! zfrld1: lead fraction on U-points |
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| 254 | ! zfrld2: lead fraction on V-points |
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| 255 | ! zmass1: ice/snow mass on U-points |
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| 256 | ! zmass2: ice/snow mass on V-points |
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| 257 | ! zcorl1: Coriolis parameter on U-points |
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| 258 | ! zcorl2: Coriolis parameter on V-points |
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| 259 | ! (ztagnx,ztagny): wind stress on U/V points |
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| 260 | ! u_oce1: ocean u component on u points |
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| 261 | ! v_oce1: ocean v component on u points |
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| 262 | ! u_oce2: ocean u component on v points |
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| 263 | ! v_oce2: ocean v component on v points |
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[921] | 264 | |
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[825] | 265 | DO jj = k_j1+1, k_jpj-1 |
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[868] | 266 | DO ji = fs_2, fs_jpim1 |
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[825] | 267 | |
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| 268 | zt11 = tms(ji,jj)*e1t(ji,jj) |
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| 269 | zt12 = tms(ji+1,jj)*e1t(ji+1,jj) |
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| 270 | zt21 = tms(ji,jj)*e2t(ji,jj) |
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| 271 | zt22 = tms(ji,jj+1)*e2t(ji,jj+1) |
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| 272 | |
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| 273 | ! Leads area. |
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| 274 | zfrld1(ji,jj) = ( zt12 * ( 1.0 - at_i(ji,jj) ) + & |
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[921] | 275 | & zt11 * ( 1.0 - at_i(ji+1,jj) ) ) / ( zt11 + zt12 + epsd ) |
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[825] | 276 | zfrld2(ji,jj) = ( zt22 * ( 1.0 - at_i(ji,jj) ) + & |
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[921] | 277 | & zt21 * ( 1.0 - at_i(ji,jj+1) ) ) / ( zt21 + zt22 + epsd ) |
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[825] | 278 | |
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| 279 | ! Mass, coriolis coeff. and currents |
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[834] | 280 | zmass1(ji,jj) = ( zt12*zc1(ji,jj) + zt11*zc1(ji+1,jj) ) / (zt11+zt12+epsd) |
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| 281 | zmass2(ji,jj) = ( zt22*zc1(ji,jj) + zt21*zc1(ji,jj+1) ) / (zt21+zt22+epsd) |
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| 282 | zcorl1(ji,jj) = zmass1(ji,jj) * ( e1t(ji+1,jj)*fcor(ji,jj) + & |
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[921] | 283 | e1t(ji,jj)*fcor(ji+1,jj) ) & |
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| 284 | / (e1t(ji,jj) + e1t(ji+1,jj) + epsd ) |
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[834] | 285 | zcorl2(ji,jj) = zmass2(ji,jj) * ( e2t(ji,jj+1)*fcor(ji,jj) + & |
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[921] | 286 | e2t(ji,jj)*fcor(ji,jj+1) ) & |
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| 287 | / ( e2t(ji,jj+1) + e2t(ji,jj) + epsd ) |
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[825] | 288 | ! |
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[888] | 289 | u_oce1(ji,jj) = u_oce(ji,jj) |
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| 290 | v_oce2(ji,jj) = v_oce(ji,jj) |
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[825] | 291 | |
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[834] | 292 | ! Ocean has no slip boundary condition |
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[888] | 293 | v_oce1(ji,jj) = 0.5*( (v_oce(ji,jj)+v_oce(ji,jj-1))*e1t(ji,jj) & |
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[921] | 294 | & +(v_oce(ji+1,jj)+v_oce(ji+1,jj-1))*e1t(ji+1,jj)) & |
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| 295 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
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[825] | 296 | |
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[888] | 297 | u_oce2(ji,jj) = 0.5*((u_oce(ji,jj)+u_oce(ji-1,jj))*e2t(ji,jj) & |
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[921] | 298 | & +(u_oce(ji,jj+1)+u_oce(ji-1,jj+1))*e2t(ji,jj+1)) & |
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| 299 | & / (e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
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[825] | 300 | |
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[1469] | 301 | ! Wind stress at U,V-point |
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| 302 | ztagnx = ( 1. - zfrld1(ji,jj) ) * utau_ice(ji,jj) |
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| 303 | ztagny = ( 1. - zfrld2(ji,jj) ) * vtau_ice(ji,jj) |
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[825] | 304 | |
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[834] | 305 | ! Computation of the velocity field taking into account the ice internal interaction. |
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[825] | 306 | ! Terms that are independent of the velocity field. |
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| 307 | |
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| 308 | ! SB On utilise maintenant le gradient de la pente de l'ocean |
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| 309 | ! include it later |
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[834] | 310 | |
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[1244] | 311 | zdsshx = (ssh_m(ji+1,jj) - ssh_m(ji,jj))/e1u(ji,jj) |
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| 312 | zdsshy = (ssh_m(ji,jj+1) - ssh_m(ji,jj))/e2v(ji,jj) |
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[825] | 313 | |
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| 314 | za1ct(ji,jj) = ztagnx - zmass1(ji,jj) * grav * zdsshx |
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| 315 | za2ct(ji,jj) = ztagny - zmass2(ji,jj) * grav * zdsshy |
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| 316 | |
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| 317 | END DO |
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| 318 | END DO |
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| 319 | |
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[921] | 320 | ! |
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| 321 | !------------------------------------------------------------------------------! |
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| 322 | ! 3) Solution of the momentum equation, iterative procedure |
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| 323 | !------------------------------------------------------------------------------! |
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| 324 | ! |
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[825] | 325 | ! Time step for subcycling |
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| 326 | dtevp = rdt_ice / nevp |
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| 327 | dtotel = dtevp / ( 2.0 * telast ) |
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| 328 | |
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| 329 | !-ecc2: square of yield ellipse eccenticrity (reminder: must become a namelist parameter) |
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| 330 | ecc2 = ecc*ecc |
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| 331 | |
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| 332 | !-Initialise stress tensor |
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[869] | 333 | zs1(:,:) = stress1_i(:,:) |
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[866] | 334 | zs2(:,:) = stress2_i(:,:) |
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| 335 | zs12(:,:) = stress12_i(:,:) |
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[825] | 336 | |
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[921] | 337 | !----------------------! |
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[868] | 338 | DO jter = 1 , nevp ! loop over jter ! |
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[921] | 339 | !----------------------! |
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[825] | 340 | DO jj = k_j1, k_jpj-1 |
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| 341 | zu_ice(:,jj) = u_ice(:,jj) ! velocity at previous time step |
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| 342 | zv_ice(:,jj) = v_ice(:,jj) |
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[921] | 343 | END DO |
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[825] | 344 | |
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[834] | 345 | DO jj = k_j1+1, k_jpj-1 |
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[988] | 346 | DO ji = fs_2, jpim1 !RB bug no vect opt due to tmi |
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[825] | 347 | |
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[921] | 348 | ! |
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| 349 | !- Divergence, tension and shear (Section a. Appendix B of Hunke & Dukowicz, 2002) |
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| 350 | !- zdd(:,:), zdt(:,:): divergence and tension at centre of grid cells |
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| 351 | !- zds(:,:): shear on northeast corner of grid cells |
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| 352 | ! |
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| 353 | !- IMPORTANT REMINDER: Dear Gurvan, note that, the way these terms are coded, |
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| 354 | ! there are many repeated calculations. |
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| 355 | ! Speed could be improved by regrouping terms. For |
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| 356 | ! the moment, however, the stress is on clarity of coding to avoid |
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| 357 | ! bugs (Martin, for Miguel). |
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| 358 | ! |
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| 359 | !- ALSO: arrays zdd, zdt, zds and delta could |
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| 360 | ! be removed in the future to minimise memory demand. |
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| 361 | ! |
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| 362 | !- MORE NOTES: Note that we are calculating deformation rates and stresses on the corners of |
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| 363 | ! grid cells, exactly as in the B grid case. For simplicity, the indexation on |
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| 364 | ! the corners is the same as in the B grid. |
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| 365 | ! |
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| 366 | ! |
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| 367 | zdd(ji,jj) = ( e2u(ji,jj)*u_ice(ji,jj) & |
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| 368 | & -e2u(ji-1,jj)*u_ice(ji-1,jj) & |
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| 369 | & +e1v(ji,jj)*v_ice(ji,jj) & |
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| 370 | & -e1v(ji,jj-1)*v_ice(ji,jj-1) & |
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| 371 | & ) & |
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| 372 | & / area(ji,jj) |
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[825] | 373 | |
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[921] | 374 | zdt(ji,jj) = ( ( u_ice(ji,jj)/e2u(ji,jj) & |
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| 375 | & -u_ice(ji-1,jj)/e2u(ji-1,jj) & |
---|
| 376 | & )*e2t(ji,jj)*e2t(ji,jj) & |
---|
| 377 | & -( v_ice(ji,jj)/e1v(ji,jj) & |
---|
| 378 | & -v_ice(ji,jj-1)/e1v(ji,jj-1) & |
---|
| 379 | & )*e1t(ji,jj)*e1t(ji,jj) & |
---|
| 380 | & ) & |
---|
| 381 | & / area(ji,jj) |
---|
[825] | 382 | |
---|
[921] | 383 | ! |
---|
| 384 | zds(ji,jj) = ( ( u_ice(ji,jj+1)/e1u(ji,jj+1) & |
---|
| 385 | & -u_ice(ji,jj)/e1u(ji,jj) & |
---|
| 386 | & )*e1f(ji,jj)*e1f(ji,jj) & |
---|
| 387 | & +( v_ice(ji+1,jj)/e2v(ji+1,jj) & |
---|
| 388 | & -v_ice(ji,jj)/e2v(ji,jj) & |
---|
| 389 | & )*e2f(ji,jj)*e2f(ji,jj) & |
---|
| 390 | & ) & |
---|
| 391 | & / ( e1f(ji,jj) * e2f(ji,jj) ) * ( 2.0 - tmf(ji,jj) ) & |
---|
| 392 | & * tmi(ji,jj) * tmi(ji,jj+1) & |
---|
| 393 | & * tmi(ji+1,jj) * tmi(ji+1,jj+1) |
---|
[825] | 394 | |
---|
| 395 | |
---|
[921] | 396 | v_ice1(ji,jj) = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji+1,jj) & |
---|
| 397 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji,jj)) & |
---|
| 398 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
[825] | 399 | |
---|
[921] | 400 | u_ice2(ji,jj) = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj+1) & |
---|
| 401 | & +(u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj)) & |
---|
| 402 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
[825] | 403 | |
---|
[921] | 404 | END DO |
---|
| 405 | END DO |
---|
| 406 | CALL lbc_lnk( v_ice1(:,:), 'U', -1. ) |
---|
| 407 | CALL lbc_lnk( u_ice2(:,:), 'V', -1. ) |
---|
| 408 | |
---|
[868] | 409 | !CDIR NOVERRCHK |
---|
[921] | 410 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 411 | !CDIR NOVERRCHK |
---|
[921] | 412 | DO ji = fs_2, fs_jpim1 |
---|
[825] | 413 | |
---|
[921] | 414 | !- Calculate Delta at centre of grid cells |
---|
| 415 | zdst = ( e2u( ji , jj ) * v_ice1(ji,jj) & |
---|
| 416 | & - e2u( ji-1, jj ) * v_ice1(ji-1,jj) & |
---|
| 417 | & + e1v( ji , jj ) * u_ice2(ji,jj) & |
---|
| 418 | & - e1v( ji , jj-1 ) * u_ice2(ji,jj-1) & |
---|
| 419 | & ) & |
---|
| 420 | & / area(ji,jj) |
---|
[825] | 421 | |
---|
[921] | 422 | delta = SQRT( zdd(ji,jj)*zdd(ji,jj) + & |
---|
| 423 | & ( zdt(ji,jj)*zdt(ji,jj) + zdst*zdst ) * usecc2 ) |
---|
| 424 | deltat(ji,jj) = MAX( SQRT(zdd(ji,jj)**2 + & |
---|
| 425 | (zdt(ji,jj)**2 + zdst**2)*usecc2), creepl ) |
---|
[825] | 426 | |
---|
[921] | 427 | !-Calculate stress tensor components zs1 and zs2 |
---|
| 428 | !-at centre of grid cells (see section 3.5 of CICE user's guide). |
---|
| 429 | zs1(ji,jj) = ( zs1(ji,jj) & |
---|
| 430 | & - dtotel*( ( 1.0 - alphaevp) * zs1(ji,jj) + & |
---|
| 431 | & ( delta / deltat(ji,jj) - zdd(ji,jj) / deltat(ji,jj) ) & |
---|
| 432 | * zpresh(ji,jj) ) ) & |
---|
| 433 | & / ( 1.0 + alphaevp * dtotel ) |
---|
[825] | 434 | |
---|
[921] | 435 | zs2(ji,jj) = ( zs2(ji,jj) & |
---|
| 436 | & - dtotel*((1.0-alphaevp)*ecc2*zs2(ji,jj) - & |
---|
| 437 | zdt(ji,jj)/deltat(ji,jj)*zpresh(ji,jj)) ) & |
---|
| 438 | & / ( 1.0 + alphaevp*ecc2*dtotel ) |
---|
[825] | 439 | |
---|
[921] | 440 | END DO |
---|
| 441 | END DO |
---|
[825] | 442 | |
---|
[921] | 443 | CALL lbc_lnk( zs1(:,:), 'T', 1. ) |
---|
| 444 | CALL lbc_lnk( zs2(:,:), 'T', 1. ) |
---|
[825] | 445 | |
---|
[868] | 446 | !CDIR NOVERRCHK |
---|
[921] | 447 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 448 | !CDIR NOVERRCHK |
---|
[921] | 449 | DO ji = fs_2, fs_jpim1 |
---|
| 450 | !- Calculate Delta on corners |
---|
| 451 | zddc = ( ( v_ice1(ji,jj+1)/e1u(ji,jj+1) & |
---|
| 452 | & -v_ice1(ji,jj)/e1u(ji,jj) & |
---|
| 453 | & )*e1f(ji,jj)*e1f(ji,jj) & |
---|
| 454 | & +( u_ice2(ji+1,jj)/e2v(ji+1,jj) & |
---|
| 455 | & -u_ice2(ji,jj)/e2v(ji,jj) & |
---|
| 456 | & )*e2f(ji,jj)*e2f(ji,jj) & |
---|
| 457 | & ) & |
---|
| 458 | & / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
[825] | 459 | |
---|
[921] | 460 | zdtc = (-( v_ice1(ji,jj+1)/e1u(ji,jj+1) & |
---|
| 461 | & -v_ice1(ji,jj)/e1u(ji,jj) & |
---|
| 462 | & )*e1f(ji,jj)*e1f(ji,jj) & |
---|
| 463 | & +( u_ice2(ji+1,jj)/e2v(ji+1,jj) & |
---|
| 464 | & -u_ice2(ji,jj)/e2v(ji,jj) & |
---|
| 465 | & )*e2f(ji,jj)*e2f(ji,jj) & |
---|
| 466 | & ) & |
---|
| 467 | & / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
[825] | 468 | |
---|
[921] | 469 | deltac(ji,jj) = SQRT(zddc**2+(zdtc**2+zds(ji,jj)**2)*usecc2) + creepl |
---|
[825] | 470 | |
---|
[921] | 471 | !-Calculate stress tensor component zs12 at corners (see section 3.5 of CICE user's guide). |
---|
| 472 | zs12(ji,jj) = ( zs12(ji,jj) & |
---|
| 473 | & - dtotel*( (1.0-alphaevp)*ecc2*zs12(ji,jj) - zds(ji,jj) / & |
---|
| 474 | & ( 2.0*deltac(ji,jj) ) * zpreshc(ji,jj))) & |
---|
| 475 | & / ( 1.0 + alphaevp*ecc2*dtotel ) |
---|
[825] | 476 | |
---|
[921] | 477 | END DO ! ji |
---|
| 478 | END DO ! jj |
---|
[825] | 479 | |
---|
[921] | 480 | CALL lbc_lnk( zs12(:,:), 'F', 1. ) |
---|
[825] | 481 | |
---|
[921] | 482 | ! Ice internal stresses (Appendix C of Hunke and Dukowicz, 2002) |
---|
| 483 | DO jj = k_j1+1, k_jpj-1 |
---|
| 484 | DO ji = fs_2, fs_jpim1 |
---|
| 485 | !- contribution of zs1, zs2 and zs12 to zf1 |
---|
| 486 | zf1(ji,jj) = 0.5*( (zs1(ji+1,jj)-zs1(ji,jj))*e2u(ji,jj) & |
---|
| 487 | & +(zs2(ji+1,jj)*e2t(ji+1,jj)**2-zs2(ji,jj)*e2t(ji,jj)**2)/e2u(ji,jj) & |
---|
| 488 | & +2.0*(zs12(ji,jj)*e1f(ji,jj)**2-zs12(ji,jj-1)*e1f(ji,jj-1)**2)/e1u(ji,jj) & |
---|
| 489 | & ) / ( e1u(ji,jj)*e2u(ji,jj) ) |
---|
| 490 | ! contribution of zs1, zs2 and zs12 to zf2 |
---|
| 491 | zf2(ji,jj) = 0.5*( (zs1(ji,jj+1)-zs1(ji,jj))*e1v(ji,jj) & |
---|
| 492 | & -(zs2(ji,jj+1)*e1t(ji,jj+1)**2 - zs2(ji,jj)*e1t(ji,jj)**2)/e1v(ji,jj) & |
---|
| 493 | & + 2.0*(zs12(ji,jj)*e2f(ji,jj)**2 - & |
---|
| 494 | zs12(ji-1,jj)*e2f(ji-1,jj)**2)/e2v(ji,jj) & |
---|
| 495 | & ) / ( e1v(ji,jj)*e2v(ji,jj) ) |
---|
| 496 | END DO |
---|
| 497 | END DO |
---|
[825] | 498 | ! |
---|
| 499 | ! Computation of ice velocity |
---|
| 500 | ! |
---|
| 501 | ! Both the Coriolis term and the ice-ocean drag are solved semi-implicitly. |
---|
| 502 | ! |
---|
[921] | 503 | IF (MOD(jter,2).eq.0) THEN |
---|
[825] | 504 | |
---|
[868] | 505 | !CDIR NOVERRCHK |
---|
[921] | 506 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 507 | !CDIR NOVERRCHK |
---|
[921] | 508 | DO ji = fs_2, fs_jpim1 |
---|
| 509 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass1(ji,jj))))*tmu(ji,jj) |
---|
| 510 | zsang = SIGN ( 1.0 , fcor(ji,jj) ) * sangvg |
---|
| 511 | z0 = zmass1(ji,jj)/dtevp |
---|
[825] | 512 | |
---|
[921] | 513 | ! SB modif because ocean has no slip boundary condition |
---|
| 514 | zv_ice1 = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji,jj) & |
---|
| 515 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji+1,jj)) & |
---|
| 516 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
| 517 | za = rhoco*SQRT((u_ice(ji,jj)-u_oce1(ji,jj))**2 + & |
---|
| 518 | (zv_ice1-v_oce1(ji,jj))**2) * (1.0-zfrld1(ji,jj)) |
---|
| 519 | zr = z0*u_ice(ji,jj) + zf1(ji,jj) + za1ct(ji,jj) + & |
---|
| 520 | za*(cangvg*u_oce1(ji,jj)-zsang*v_oce1(ji,jj)) |
---|
| 521 | zcca = z0+za*cangvg |
---|
| 522 | zccb = zcorl1(ji,jj)+za*zsang |
---|
| 523 | u_ice(ji,jj) = (zr+zccb*zv_ice1)/(zcca+epsd)*zmask |
---|
[825] | 524 | |
---|
[921] | 525 | END DO |
---|
| 526 | END DO |
---|
[825] | 527 | |
---|
[921] | 528 | CALL lbc_lnk( u_ice(:,:), 'U', -1. ) |
---|
[825] | 529 | |
---|
[868] | 530 | !CDIR NOVERRCHK |
---|
[921] | 531 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 532 | !CDIR NOVERRCHK |
---|
[921] | 533 | DO ji = fs_2, fs_jpim1 |
---|
[834] | 534 | |
---|
[921] | 535 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass2(ji,jj))))*tmv(ji,jj) |
---|
| 536 | zsang = SIGN(1.0,fcor(ji,jj))*sangvg |
---|
| 537 | z0 = zmass2(ji,jj)/dtevp |
---|
| 538 | ! SB modif because ocean has no slip boundary condition |
---|
| 539 | zu_ice2 = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj) & |
---|
| 540 | & + (u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj+1)) & |
---|
| 541 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
| 542 | za = rhoco*SQRT((zu_ice2-u_oce2(ji,jj))**2 + & |
---|
| 543 | (v_ice(ji,jj)-v_oce2(ji,jj))**2)*(1.0-zfrld2(ji,jj)) |
---|
| 544 | zr = z0*v_ice(ji,jj) + zf2(ji,jj) + & |
---|
| 545 | za2ct(ji,jj) + za*(cangvg*v_oce2(ji,jj)+zsang*u_oce2(ji,jj)) |
---|
| 546 | zcca = z0+za*cangvg |
---|
| 547 | zccb = zcorl2(ji,jj)+za*zsang |
---|
| 548 | v_ice(ji,jj) = (zr-zccb*zu_ice2)/(zcca+epsd)*zmask |
---|
[825] | 549 | |
---|
[921] | 550 | END DO |
---|
| 551 | END DO |
---|
[825] | 552 | |
---|
[921] | 553 | CALL lbc_lnk( v_ice(:,:), 'V', -1. ) |
---|
[825] | 554 | |
---|
[834] | 555 | ELSE |
---|
[868] | 556 | !CDIR NOVERRCHK |
---|
[921] | 557 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 558 | !CDIR NOVERRCHK |
---|
[921] | 559 | DO ji = fs_2, fs_jpim1 |
---|
| 560 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass2(ji,jj))))*tmv(ji,jj) |
---|
| 561 | zsang = SIGN(1.0,fcor(ji,jj))*sangvg |
---|
| 562 | z0 = zmass2(ji,jj)/dtevp |
---|
| 563 | ! SB modif because ocean has no slip boundary condition |
---|
| 564 | zu_ice2 = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj) & |
---|
| 565 | & +(u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj+1)) & |
---|
| 566 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
[825] | 567 | |
---|
[921] | 568 | za = rhoco*SQRT((zu_ice2-u_oce2(ji,jj))**2 + & |
---|
| 569 | (v_ice(ji,jj)-v_oce2(ji,jj))**2)*(1.0-zfrld2(ji,jj)) |
---|
| 570 | zr = z0*v_ice(ji,jj) + zf2(ji,jj) + & |
---|
| 571 | za2ct(ji,jj) + za*(cangvg*v_oce2(ji,jj)+zsang*u_oce2(ji,jj)) |
---|
| 572 | zcca = z0+za*cangvg |
---|
| 573 | zccb = zcorl2(ji,jj)+za*zsang |
---|
| 574 | v_ice(ji,jj) = (zr-zccb*zu_ice2)/(zcca+epsd)*zmask |
---|
[825] | 575 | |
---|
[921] | 576 | END DO |
---|
| 577 | END DO |
---|
[825] | 578 | |
---|
[921] | 579 | CALL lbc_lnk( v_ice(:,:), 'V', -1. ) |
---|
[825] | 580 | |
---|
[868] | 581 | !CDIR NOVERRCHK |
---|
[921] | 582 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 583 | !CDIR NOVERRCHK |
---|
[921] | 584 | DO ji = fs_2, fs_jpim1 |
---|
| 585 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass1(ji,jj))))*tmu(ji,jj) |
---|
| 586 | zsang = SIGN(1.0,fcor(ji,jj))*sangvg |
---|
| 587 | z0 = zmass1(ji,jj)/dtevp |
---|
| 588 | ! SB modif because ocean has no slip boundary condition |
---|
| 589 | ! GG Bug |
---|
| 590 | ! zv_ice1 = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji+1,jj) & |
---|
| 591 | ! & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji,jj)) & |
---|
| 592 | ! & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
| 593 | zv_ice1 = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji,jj) & |
---|
| 594 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji+1,jj)) & |
---|
| 595 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
[825] | 596 | |
---|
[921] | 597 | za = rhoco*SQRT((u_ice(ji,jj)-u_oce1(ji,jj))**2 + & |
---|
| 598 | (zv_ice1-v_oce1(ji,jj))**2)*(1.0-zfrld1(ji,jj)) |
---|
| 599 | zr = z0*u_ice(ji,jj) + zf1(ji,jj) + za1ct(ji,jj) + & |
---|
| 600 | za*(cangvg*u_oce1(ji,jj)-zsang*v_oce1(ji,jj)) |
---|
| 601 | zcca = z0+za*cangvg |
---|
| 602 | zccb = zcorl1(ji,jj)+za*zsang |
---|
| 603 | u_ice(ji,jj) = (zr+zccb*zv_ice1)/(zcca+epsd)*zmask |
---|
| 604 | END DO ! ji |
---|
| 605 | END DO ! jj |
---|
[825] | 606 | |
---|
[921] | 607 | CALL lbc_lnk( u_ice(:,:), 'U', -1. ) |
---|
[825] | 608 | |
---|
[921] | 609 | ENDIF |
---|
[825] | 610 | |
---|
[921] | 611 | IF(ln_ctl) THEN |
---|
| 612 | !--- Convergence test. |
---|
| 613 | DO jj = k_j1+1 , k_jpj-1 |
---|
| 614 | zresr(:,jj) = MAX( ABS( u_ice(:,jj) - zu_ice(:,jj) ) , & |
---|
| 615 | ABS( v_ice(:,jj) - zv_ice(:,jj) ) ) |
---|
| 616 | END DO |
---|
| 617 | zresm = MAXVAL( zresr( 1:jpi , k_j1+1:k_jpj-1 ) ) |
---|
| 618 | IF( lk_mpp ) CALL mpp_max( zresm ) ! max over the global domain |
---|
| 619 | ENDIF |
---|
| 620 | |
---|
| 621 | ! ! ==================== ! |
---|
[868] | 622 | END DO ! end loop over jter ! |
---|
[825] | 623 | ! ! ==================== ! |
---|
| 624 | |
---|
[921] | 625 | ! |
---|
| 626 | !------------------------------------------------------------------------------! |
---|
| 627 | ! 4) Prevent ice velocities when the ice is thin |
---|
| 628 | !------------------------------------------------------------------------------! |
---|
| 629 | ! |
---|
[825] | 630 | ! If the ice thickness is below 1cm then ice velocity should equal the |
---|
[834] | 631 | ! ocean velocity, |
---|
| 632 | ! This prevents high velocity when ice is thin |
---|
[868] | 633 | !CDIR NOVERRCHK |
---|
[825] | 634 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 635 | !CDIR NOVERRCHK |
---|
| 636 | DO ji = fs_2, fs_jpim1 |
---|
[825] | 637 | zindb = MAX( 0.0, SIGN( 1.0, at_i(ji,jj) - 1.0e-6 ) ) |
---|
| 638 | zdummy = zindb * vt_i(ji,jj) / MAX(at_i(ji,jj) , 1.0e-06 ) |
---|
| 639 | IF ( zdummy .LE. 5.0e-2 ) THEN |
---|
[888] | 640 | u_ice(ji,jj) = u_oce(ji,jj) |
---|
| 641 | v_ice(ji,jj) = v_oce(ji,jj) |
---|
[825] | 642 | ENDIF ! zdummy |
---|
| 643 | END DO |
---|
| 644 | END DO |
---|
[866] | 645 | |
---|
[869] | 646 | CALL lbc_lnk( u_ice(:,:), 'U', -1. ) |
---|
| 647 | CALL lbc_lnk( v_ice(:,:), 'V', -1. ) |
---|
| 648 | |
---|
[868] | 649 | DO jj = k_j1+1, k_jpj-1 |
---|
| 650 | DO ji = fs_2, fs_jpim1 |
---|
| 651 | zindb = MAX( 0.0, SIGN( 1.0, at_i(ji,jj) - 1.0e-6 ) ) |
---|
| 652 | zdummy = zindb * vt_i(ji,jj) / MAX(at_i(ji,jj) , 1.0e-06 ) |
---|
| 653 | IF ( zdummy .LE. 5.0e-2 ) THEN |
---|
[921] | 654 | v_ice1(ji,jj) = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji+1,jj) & |
---|
| 655 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji,jj)) & |
---|
| 656 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
[868] | 657 | |
---|
[921] | 658 | u_ice2(ji,jj) = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj+1) & |
---|
| 659 | & +(u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj)) & |
---|
| 660 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
| 661 | ENDIF ! zdummy |
---|
[868] | 662 | END DO |
---|
| 663 | END DO |
---|
| 664 | |
---|
[869] | 665 | CALL lbc_lnk( u_ice2(:,:), 'V', -1. ) |
---|
| 666 | CALL lbc_lnk( v_ice1(:,:), 'U', -1. ) |
---|
[868] | 667 | |
---|
[866] | 668 | ! Recompute delta, shear and div, inputs for mechanical redistribution |
---|
[868] | 669 | !CDIR NOVERRCHK |
---|
[825] | 670 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 671 | !CDIR NOVERRCHK |
---|
[988] | 672 | DO ji = fs_2, jpim1 !RB bug no vect opt due to tmi |
---|
[825] | 673 | !- zdd(:,:), zdt(:,:): divergence and tension at centre |
---|
| 674 | !- zds(:,:): shear on northeast corner of grid cells |
---|
| 675 | zindb = MAX( 0.0, SIGN( 1.0, at_i(ji,jj) - 1.0e-6 ) ) |
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| 676 | zdummy = zindb * vt_i(ji,jj) / MAX(at_i(ji,jj) , 1.0e-06 ) |
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| 677 | |
---|
| 678 | IF ( zdummy .LE. 5.0e-2 ) THEN |
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| 679 | |
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[921] | 680 | zdd(ji,jj) = ( e2u(ji,jj)*u_ice(ji,jj) & |
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| 681 | & -e2u(ji-1,jj)*u_ice(ji-1,jj) & |
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| 682 | & +e1v(ji,jj)*v_ice(ji,jj) & |
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| 683 | & -e1v(ji,jj-1)*v_ice(ji,jj-1) & |
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| 684 | & ) & |
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| 685 | & / area(ji,jj) |
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[825] | 686 | |
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[921] | 687 | zdt(ji,jj) = ( ( u_ice(ji,jj)/e2u(ji,jj) & |
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| 688 | & -u_ice(ji-1,jj)/e2u(ji-1,jj) & |
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| 689 | & )*e2t(ji,jj)*e2t(ji,jj) & |
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| 690 | & -( v_ice(ji,jj)/e1v(ji,jj) & |
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| 691 | & -v_ice(ji,jj-1)/e1v(ji,jj-1) & |
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| 692 | & )*e1t(ji,jj)*e1t(ji,jj) & |
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| 693 | & ) & |
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| 694 | & / area(ji,jj) |
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| 695 | ! |
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| 696 | ! SB modif because ocean has no slip boundary condition |
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| 697 | zds(ji,jj) = ( ( u_ice(ji,jj+1) / e1u(ji,jj+1) & |
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| 698 | & - u_ice(ji,jj) / e1u(ji,jj) ) & |
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| 699 | & * e1f(ji,jj) * e1f(ji,jj) & |
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| 700 | & + ( v_ice(ji+1,jj) / e2v(ji+1,jj) & |
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| 701 | & - v_ice(ji,jj) / e2v(ji,jj) ) & |
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| 702 | & * e2f(ji,jj) * e2f(ji,jj) ) & |
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| 703 | & / ( e1f(ji,jj) * e2f(ji,jj) ) * ( 2.0 - tmf(ji,jj) ) & |
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| 704 | & * tmi(ji,jj) * tmi(ji,jj+1) & |
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| 705 | & * tmi(ji+1,jj) * tmi(ji+1,jj+1) |
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[825] | 706 | |
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[921] | 707 | zdst = ( e2u( ji , jj ) * v_ice1(ji,jj) & |
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| 708 | & - e2u( ji-1, jj ) * v_ice1(ji-1,jj) & |
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| 709 | & + e1v( ji , jj ) * u_ice2(ji,jj) & |
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| 710 | & - e1v( ji , jj-1 ) * u_ice2(ji,jj-1) & |
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| 711 | & ) & |
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| 712 | & / area(ji,jj) |
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[825] | 713 | |
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[921] | 714 | deltat(ji,jj) = SQRT( zdd(ji,jj)*zdd(ji,jj) + & |
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| 715 | & ( zdt(ji,jj)*zdt(ji,jj) + zdst*zdst ) * usecc2 & |
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| 716 | & ) + creepl |
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[825] | 717 | |
---|
[921] | 718 | ENDIF ! zdummy |
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[825] | 719 | |
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| 720 | END DO !jj |
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| 721 | END DO !ji |
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[921] | 722 | ! |
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| 723 | !------------------------------------------------------------------------------! |
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| 724 | ! 5) Store stress tensor and its invariants |
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| 725 | !------------------------------------------------------------------------------! |
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| 726 | ! |
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[866] | 727 | ! * Invariants of the stress tensor are required for limitd_me |
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| 728 | ! accelerates convergence and improves stability |
---|
| 729 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 730 | DO ji = fs_2, fs_jpim1 |
---|
| 731 | divu_i (ji,jj) = zdd (ji,jj) |
---|
| 732 | delta_i(ji,jj) = deltat(ji,jj) |
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| 733 | shear_i(ji,jj) = zds (ji,jj) |
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[825] | 734 | END DO |
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[866] | 735 | END DO |
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[825] | 736 | |
---|
[866] | 737 | ! Lateral boundary condition |
---|
[868] | 738 | CALL lbc_lnk( divu_i (:,:), 'T', 1. ) |
---|
[825] | 739 | CALL lbc_lnk( delta_i(:,:), 'T', 1. ) |
---|
| 740 | CALL lbc_lnk( shear_i(:,:), 'F', 1. ) |
---|
[866] | 741 | |
---|
[868] | 742 | ! * Store the stress tensor for the next time step |
---|
| 743 | stress1_i (:,:) = zs1 (:,:) |
---|
| 744 | stress2_i (:,:) = zs2 (:,:) |
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| 745 | stress12_i(:,:) = zs12(:,:) |
---|
| 746 | |
---|
[921] | 747 | ! |
---|
| 748 | !------------------------------------------------------------------------------! |
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| 749 | ! 6) Control prints of residual and charge ellipse |
---|
| 750 | !------------------------------------------------------------------------------! |
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| 751 | ! |
---|
[834] | 752 | ! print the residual for convergence |
---|
| 753 | IF(ln_ctl) THEN |
---|
[868] | 754 | WRITE(charout,FMT="('lim_rhg : res =',D23.16, ' iter =',I4)") zresm, jter |
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[834] | 755 | CALL prt_ctl_info(charout) |
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| 756 | CALL prt_ctl(tab2d_1=u_ice, clinfo1=' lim_rhg : u_ice :', tab2d_2=v_ice, clinfo2=' v_ice :') |
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| 757 | ENDIF |
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[825] | 758 | |
---|
[834] | 759 | ! print charge ellipse |
---|
| 760 | ! This can be desactivated once the user is sure that the stress state |
---|
| 761 | ! lie on the charge ellipse. See Bouillon et al. 08 for more details |
---|
[825] | 762 | IF(ln_ctl) THEN |
---|
| 763 | CALL prt_ctl_info('lim_rhg : numit :',ivar1=numit) |
---|
| 764 | CALL prt_ctl_info('lim_rhg : nwrite :',ivar1=nwrite) |
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| 765 | CALL prt_ctl_info('lim_rhg : MOD :',ivar1=MOD(numit,nwrite)) |
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| 766 | IF( MOD(numit,nwrite) .EQ. 0 ) THEN |
---|
| 767 | WRITE(charout,FMT="('lim_rhg :', I4, I6, I1, I1, A10)") 1000, numit, 0, 0, ' ch. ell. ' |
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| 768 | CALL prt_ctl_info(charout) |
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| 769 | DO jj = k_j1+1, k_jpj-1 |
---|
| 770 | DO ji = 2, jpim1 |
---|
| 771 | IF (zpresh(ji,jj) .GT. 1.0) THEN |
---|
| 772 | sigma1 = ( zs1(ji,jj) + (zs2(ji,jj)**2 + 4*zs12(ji,jj)**2 )**0.5 ) / ( 2*zpresh(ji,jj) ) |
---|
| 773 | sigma2 = ( zs1(ji,jj) - (zs2(ji,jj)**2 + 4*zs12(ji,jj)**2 )**0.5 ) / ( 2*zpresh(ji,jj) ) |
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| 774 | WRITE(charout,FMT="('lim_rhg :', I4, I4, D23.16, D23.16, D23.16, D23.16, A10)") |
---|
| 775 | CALL prt_ctl_info(charout) |
---|
| 776 | ENDIF |
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| 777 | END DO |
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| 778 | END DO |
---|
| 779 | WRITE(charout,FMT="('lim_rhg :', I4, I6, I1, I1, A10)") 2000, numit, 0, 0, ' ch. ell. ' |
---|
| 780 | CALL prt_ctl_info(charout) |
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| 781 | ENDIF |
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| 782 | ENDIF |
---|
| 783 | |
---|
| 784 | END SUBROUTINE lim_rhg |
---|
| 785 | |
---|
| 786 | #else |
---|
| 787 | !!---------------------------------------------------------------------- |
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| 788 | !! Default option Dummy module NO LIM sea-ice model |
---|
| 789 | !!---------------------------------------------------------------------- |
---|
| 790 | CONTAINS |
---|
| 791 | SUBROUTINE lim_rhg( k1 , k2 ) ! Dummy routine |
---|
| 792 | WRITE(*,*) 'lim_rhg: You should not have seen this print! error?', k1, k2 |
---|
| 793 | END SUBROUTINE lim_rhg |
---|
| 794 | #endif |
---|
| 795 | |
---|
| 796 | !!============================================================================== |
---|
| 797 | END MODULE limrhg |
---|