[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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[2528] | 9 | !! 3.3 ! 2009-05 (G.Garric) addition of the lim2_evp cas |
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[2715] | 10 | !! 4.0 ! 2011-01 (A Porter) dynamical allocation |
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[1244] | 11 | !!---------------------------------------------------------------------- |
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[2528] | 12 | #if defined key_lim3 || ( defined key_lim2 && ! defined key_lim2_vp ) |
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[825] | 13 | !!---------------------------------------------------------------------- |
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[2528] | 14 | !! 'key_lim3' OR LIM-3 sea-ice model |
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[2717] | 15 | !! 'key_lim2' AND NOT 'key_lim2_vp' EVP LIM-2 sea-ice model |
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[825] | 16 | !!---------------------------------------------------------------------- |
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| 17 | !! lim_rhg : computes ice velocities |
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| 18 | !!---------------------------------------------------------------------- |
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[2528] | 19 | USE phycst ! Physical constant |
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| 20 | USE par_oce ! Ocean parameters |
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| 21 | USE dom_oce ! Ocean domain |
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| 22 | USE sbc_oce ! Surface boundary condition: ocean fields |
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| 23 | USE sbc_ice ! Surface boundary condition: ice fields |
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| 24 | USE lbclnk ! Lateral Boundary Condition / MPP link |
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| 25 | USE lib_mpp ! MPP library |
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[3294] | 26 | USE wrk_nemo ! work arrays |
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[2528] | 27 | USE in_out_manager ! I/O manager |
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| 28 | USE prtctl ! Print control |
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| 29 | #if defined key_lim3 |
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| 30 | USE ice ! LIM-3: ice variables |
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| 31 | USE dom_ice ! LIM-3: ice domain |
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| 32 | USE limitd_me ! LIM-3: |
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| 33 | #else |
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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 | #endif |
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[3938] | 37 | USE lib_fortran ! to use key_nosignedzero |
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[825] | 38 | |
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[3938] | 39 | #if defined key_bdy |
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| 40 | USE bdyice_lim |
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| 41 | #endif |
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| 42 | |
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[825] | 43 | IMPLICIT NONE |
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| 44 | PRIVATE |
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| 45 | |
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[2715] | 46 | PUBLIC lim_rhg ! routine called by lim_dyn (or lim_dyn_2) |
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[825] | 47 | |
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[2528] | 48 | REAL(wp) :: rzero = 0._wp ! constant values |
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| 49 | REAL(wp) :: rone = 1._wp ! constant values |
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[3938] | 50 | REAL(wp) :: epsi20 = 1.e-20_wp ! constant values |
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[2528] | 51 | |
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[868] | 52 | !! * Substitutions |
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| 53 | # include "vectopt_loop_substitute.h90" |
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[825] | 54 | !!---------------------------------------------------------------------- |
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[2715] | 55 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 56 | !! $Id$ |
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[2528] | 57 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 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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| 62 | !!------------------------------------------------------------------- |
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[834] | 63 | !! *** SUBROUTINE lim_rhg *** |
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| 64 | !! EVP-C-grid |
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[825] | 65 | !! |
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[834] | 66 | !! ** purpose : determines sea ice drift from wind stress, ice-ocean |
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[825] | 67 | !! stress and sea-surface slope. Ice-ice interaction is described by |
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[834] | 68 | !! a non-linear elasto-viscous-plastic (EVP) law including shear |
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| 69 | !! strength and a bulk rheology (Hunke and Dukowicz, 2002). |
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[825] | 70 | !! |
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[834] | 71 | !! The points in the C-grid look like this, dear reader |
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[825] | 72 | !! |
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[834] | 73 | !! (ji,jj) |
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| 74 | !! | |
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| 75 | !! | |
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| 76 | !! (ji-1,jj) | (ji,jj) |
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| 77 | !! --------- |
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| 78 | !! | | |
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| 79 | !! | (ji,jj) |------(ji,jj) |
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| 80 | !! | | |
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| 81 | !! --------- |
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| 82 | !! (ji-1,jj-1) (ji,jj-1) |
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[825] | 83 | !! |
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[834] | 84 | !! ** Inputs : - wind forcing (stress), oceanic currents |
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| 85 | !! ice total volume (vt_i) per unit area |
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| 86 | !! snow total volume (vt_s) per unit area |
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[825] | 87 | !! |
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[834] | 88 | !! ** Action : - compute u_ice, v_ice : the components of the |
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| 89 | !! sea-ice velocity vector |
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| 90 | !! - compute delta_i, shear_i, divu_i, which are inputs |
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| 91 | !! of the ice thickness distribution |
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[825] | 92 | !! |
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[834] | 93 | !! ** Steps : 1) Compute ice snow mass, ice strength |
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| 94 | !! 2) Compute wind, oceanic stresses, mass terms and |
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| 95 | !! coriolis terms of the momentum equation |
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| 96 | !! 3) Solve the momentum equation (iterative procedure) |
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| 97 | !! 4) Prevent high velocities if the ice is thin |
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| 98 | !! 5) Recompute invariants of the strain rate tensor |
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| 99 | !! which are inputs of the ITD, store stress |
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| 100 | !! for the next time step |
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| 101 | !! 6) Control prints of residual (convergence) |
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| 102 | !! and charge ellipse. |
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| 103 | !! The user should make sure that the parameters |
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| 104 | !! nevp, telast and creepl maintain stress state |
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| 105 | !! on the charge ellipse for plastic flow |
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| 106 | !! e.g. in the Canadian Archipelago |
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| 107 | !! |
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[2528] | 108 | !! References : Hunke and Dukowicz, JPO97 |
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| 109 | !! Bouillon et al., Ocean Modelling 2009 |
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| 110 | !! Vancoppenolle et al., Ocean Modelling 2008 |
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| 111 | !!------------------------------------------------------------------- |
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| 112 | INTEGER, INTENT(in) :: k_j1 ! southern j-index for ice computation |
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| 113 | INTEGER, INTENT(in) :: k_jpj ! northern j-index for ice computation |
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[834] | 114 | !! |
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[2528] | 115 | INTEGER :: ji, jj ! dummy loop indices |
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| 116 | INTEGER :: jter ! local integers |
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[825] | 117 | CHARACTER (len=50) :: charout |
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[2528] | 118 | REAL(wp) :: zt11, zt12, zt21, zt22, ztagnx, ztagny, delta ! |
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| 119 | REAL(wp) :: za, zstms, zsang, zmask ! local scalars |
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[825] | 120 | |
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[2715] | 121 | REAL(wp) :: dtevp ! time step for subcycling |
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| 122 | REAL(wp) :: dtotel, ecc2 ! square of yield ellipse eccenticity |
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| 123 | REAL(wp) :: z0, zr, zcca, zccb ! temporary scalars |
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| 124 | REAL(wp) :: zu_ice2, zv_ice1 ! |
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| 125 | REAL(wp) :: zddc, zdtc, zdst ! delta on corners and on centre |
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| 126 | REAL(wp) :: zdsshx, zdsshy ! term for the gradient of ocean surface |
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| 127 | REAL(wp) :: sigma1, sigma2 ! internal ice stress |
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[825] | 128 | |
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[2715] | 129 | REAL(wp) :: zresm ! Maximal error on ice velocity |
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| 130 | REAL(wp) :: zindb ! ice (1) or not (0) |
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| 131 | REAL(wp) :: zdummy ! dummy argument |
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[3294] | 132 | |
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| 133 | REAL(wp), POINTER, DIMENSION(:,:) :: zpresh ! temporary array for ice strength |
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| 134 | REAL(wp), POINTER, DIMENSION(:,:) :: zpreshc ! Ice strength on grid cell corners (zpreshc) |
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| 135 | REAL(wp), POINTER, DIMENSION(:,:) :: zfrld1, zfrld2 ! lead fraction on U/V points |
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| 136 | REAL(wp), POINTER, DIMENSION(:,:) :: zmass1, zmass2 ! ice/snow mass on U/V points |
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| 137 | REAL(wp), POINTER, DIMENSION(:,:) :: zcorl1, zcorl2 ! coriolis parameter on U/V points |
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| 138 | REAL(wp), POINTER, DIMENSION(:,:) :: za1ct , za2ct ! temporary arrays |
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| 139 | REAL(wp), POINTER, DIMENSION(:,:) :: zc1 ! ice mass |
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| 140 | REAL(wp), POINTER, DIMENSION(:,:) :: zusw ! temporary weight for ice strength computation |
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| 141 | REAL(wp), POINTER, DIMENSION(:,:) :: u_oce1, v_oce1 ! ocean u/v component on U points |
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| 142 | REAL(wp), POINTER, DIMENSION(:,:) :: u_oce2, v_oce2 ! ocean u/v component on V points |
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| 143 | REAL(wp), POINTER, DIMENSION(:,:) :: u_ice2, v_ice1 ! ice u/v component on V/U point |
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| 144 | REAL(wp), POINTER, DIMENSION(:,:) :: zf1 , zf2 ! arrays for internal stresses |
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| 145 | |
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| 146 | REAL(wp), POINTER, DIMENSION(:,:) :: zdd , zdt ! Divergence and tension at centre of grid cells |
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| 147 | REAL(wp), POINTER, DIMENSION(:,:) :: zds ! Shear on northeast corner of grid cells |
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| 148 | REAL(wp), POINTER, DIMENSION(:,:) :: deltat, deltac ! Delta at centre and corners of grid cells |
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| 149 | REAL(wp), POINTER, DIMENSION(:,:) :: zs1 , zs2 ! Diagonal stress tensor components zs1 and zs2 |
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| 150 | REAL(wp), POINTER, DIMENSION(:,:) :: zs12 ! Non-diagonal stress tensor component zs12 |
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| 151 | REAL(wp), POINTER, DIMENSION(:,:) :: zu_ice, zv_ice, zresr ! Local error on velocity |
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| 152 | |
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[2528] | 153 | !!------------------------------------------------------------------- |
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[3294] | 154 | |
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| 155 | CALL wrk_alloc( jpi,jpj, zpresh, zfrld1, zmass1, zcorl1, za1ct , zpreshc, zfrld2, zmass2, zcorl2, za2ct ) |
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| 156 | CALL wrk_alloc( jpi,jpj, zc1 , u_oce1, u_oce2, u_ice2, zusw , v_oce1 , v_oce2, v_ice1 ) |
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| 157 | CALL wrk_alloc( jpi,jpj, zf1 , deltat, zu_ice, zf2 , deltac, zv_ice , zdd , zdt , zds ) |
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| 158 | CALL wrk_alloc( jpi,jpj, zdd , zdt , zds , zs1 , zs2 , zs12 , zresr ) |
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| 159 | |
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[2528] | 160 | #if defined key_lim2 && ! defined key_lim2_vp |
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| 161 | # if defined key_agrif |
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| 162 | USE ice_2, vt_s => hsnm |
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| 163 | USE ice_2, vt_i => hicm |
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| 164 | # else |
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| 165 | vt_s => hsnm |
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| 166 | vt_i => hicm |
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| 167 | # endif |
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| 168 | at_i(:,:) = 1. - frld(:,:) |
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| 169 | #endif |
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[921] | 170 | ! |
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| 171 | !------------------------------------------------------------------------------! |
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| 172 | ! 1) Ice-Snow mass (zc1), ice strength (zpresh) ! |
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| 173 | !------------------------------------------------------------------------------! |
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| 174 | ! |
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[825] | 175 | ! Put every vector to 0 |
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[2528] | 176 | zpresh (:,:) = 0._wp ; zc1 (:,:) = 0._wp |
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| 177 | zpreshc(:,:) = 0._wp |
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| 178 | u_ice2 (:,:) = 0._wp ; v_ice1(:,:) = 0._wp |
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| 179 | zdd (:,:) = 0._wp ; zdt (:,:) = 0._wp ; zds(:,:) = 0._wp |
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[825] | 180 | |
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[2528] | 181 | #if defined key_lim3 |
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| 182 | CALL lim_itd_me_icestrength( ridge_scheme_swi ) ! LIM-3: Ice strength on T-points |
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| 183 | #endif |
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[825] | 184 | |
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[868] | 185 | !CDIR NOVERRCHK |
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[2528] | 186 | DO jj = k_j1 , k_jpj ! Ice mass and temp variables |
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[868] | 187 | !CDIR NOVERRCHK |
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[825] | 188 | DO ji = 1 , jpi |
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| 189 | zc1(ji,jj) = tms(ji,jj) * ( rhosn * vt_s(ji,jj) + rhoic * vt_i(ji,jj) ) |
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[2528] | 190 | #if defined key_lim3 |
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| 191 | zpresh(ji,jj) = tms(ji,jj) * strength(ji,jj) * 0.5_wp |
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| 192 | #endif |
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[2580] | 193 | #if defined key_lim2 |
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| 194 | zpresh(ji,jj) = tms(ji,jj) * pstar * vt_i(ji,jj) * EXP( -c_rhg * (1. - at_i(ji,jj) ) ) |
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| 195 | #endif |
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[866] | 196 | ! tmi = 1 where there is ice or on land |
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[3938] | 197 | tmi(ji,jj) = 1._wp - ( 1._wp - MAX( 0._wp , SIGN ( 1._wp , vt_i(ji,jj) ) ) ) * tms(ji,jj) |
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[825] | 198 | END DO |
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| 199 | END DO |
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| 200 | |
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[834] | 201 | ! Ice strength on grid cell corners (zpreshc) |
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| 202 | ! needed for calculation of shear stress |
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[868] | 203 | !CDIR NOVERRCHK |
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[825] | 204 | DO jj = k_j1+1, k_jpj-1 |
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[868] | 205 | !CDIR NOVERRCHK |
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| 206 | DO ji = 2, jpim1 !RB caution no fs_ (ji+1,jj+1) |
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[921] | 207 | zstms = tms(ji+1,jj+1) * wght(ji+1,jj+1,2,2) + & |
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| 208 | & tms(ji,jj+1) * wght(ji+1,jj+1,1,2) + & |
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| 209 | & tms(ji+1,jj) * wght(ji+1,jj+1,2,1) + & |
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| 210 | & tms(ji,jj) * wght(ji+1,jj+1,1,1) |
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| 211 | zusw(ji,jj) = 1.0 / MAX( zstms, epsd ) |
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| 212 | zpreshc(ji,jj) = ( zpresh(ji+1,jj+1) * wght(ji+1,jj+1,2,2) + & |
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| 213 | & zpresh(ji,jj+1) * wght(ji+1,jj+1,1,2) + & |
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| 214 | & zpresh(ji+1,jj) * wght(ji+1,jj+1,2,1) + & |
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| 215 | & zpresh(ji,jj) * wght(ji+1,jj+1,1,1) & |
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| 216 | & ) * zusw(ji,jj) |
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[825] | 217 | END DO |
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| 218 | END DO |
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| 219 | |
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| 220 | CALL lbc_lnk( zpreshc(:,:), 'F', 1. ) |
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[921] | 221 | ! |
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| 222 | !------------------------------------------------------------------------------! |
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| 223 | ! 2) Wind / ocean stress, mass terms, coriolis terms |
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| 224 | !------------------------------------------------------------------------------! |
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| 225 | ! |
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[825] | 226 | ! Wind stress, coriolis and mass terms on the sides of the squares |
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| 227 | ! zfrld1: lead fraction on U-points |
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| 228 | ! zfrld2: lead fraction on V-points |
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| 229 | ! zmass1: ice/snow mass on U-points |
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| 230 | ! zmass2: ice/snow mass on V-points |
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| 231 | ! zcorl1: Coriolis parameter on U-points |
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| 232 | ! zcorl2: Coriolis parameter on V-points |
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| 233 | ! (ztagnx,ztagny): wind stress on U/V points |
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| 234 | ! u_oce1: ocean u component on u points |
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| 235 | ! v_oce1: ocean v component on u points |
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| 236 | ! u_oce2: ocean u component on v points |
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| 237 | ! v_oce2: ocean v component on v points |
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[921] | 238 | |
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[825] | 239 | DO jj = k_j1+1, k_jpj-1 |
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[868] | 240 | DO ji = fs_2, fs_jpim1 |
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[825] | 241 | |
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[2528] | 242 | zt11 = tms(ji ,jj) * e1t(ji ,jj) |
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| 243 | zt12 = tms(ji+1,jj) * e1t(ji+1,jj) |
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| 244 | zt21 = tms(ji,jj ) * e2t(ji,jj ) |
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| 245 | zt22 = tms(ji,jj+1) * e2t(ji,jj+1) |
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[825] | 246 | |
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| 247 | ! Leads area. |
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[2528] | 248 | zfrld1(ji,jj) = ( zt12 * ( 1.0 - at_i(ji,jj) ) + zt11 * ( 1.0 - at_i(ji+1,jj) ) ) / ( zt11 + zt12 + epsd ) |
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| 249 | zfrld2(ji,jj) = ( zt22 * ( 1.0 - at_i(ji,jj) ) + zt21 * ( 1.0 - at_i(ji,jj+1) ) ) / ( zt21 + zt22 + epsd ) |
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[825] | 250 | |
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| 251 | ! Mass, coriolis coeff. and currents |
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[834] | 252 | zmass1(ji,jj) = ( zt12*zc1(ji,jj) + zt11*zc1(ji+1,jj) ) / (zt11+zt12+epsd) |
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| 253 | zmass2(ji,jj) = ( zt22*zc1(ji,jj) + zt21*zc1(ji,jj+1) ) / (zt21+zt22+epsd) |
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[2528] | 254 | zcorl1(ji,jj) = zmass1(ji,jj) * ( e1t(ji+1,jj)*fcor(ji,jj) + e1t(ji,jj)*fcor(ji+1,jj) ) & |
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| 255 | & / ( e1t(ji,jj) + e1t(ji+1,jj) + epsd ) |
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| 256 | zcorl2(ji,jj) = zmass2(ji,jj) * ( e2t(ji,jj+1)*fcor(ji,jj) + e2t(ji,jj)*fcor(ji,jj+1) ) & |
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| 257 | & / ( e2t(ji,jj+1) + e2t(ji,jj) + epsd ) |
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[825] | 258 | ! |
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[888] | 259 | u_oce1(ji,jj) = u_oce(ji,jj) |
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| 260 | v_oce2(ji,jj) = v_oce(ji,jj) |
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[825] | 261 | |
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[834] | 262 | ! Ocean has no slip boundary condition |
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[888] | 263 | v_oce1(ji,jj) = 0.5*( (v_oce(ji,jj)+v_oce(ji,jj-1))*e1t(ji,jj) & |
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[921] | 264 | & +(v_oce(ji+1,jj)+v_oce(ji+1,jj-1))*e1t(ji+1,jj)) & |
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| 265 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
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[825] | 266 | |
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[888] | 267 | u_oce2(ji,jj) = 0.5*((u_oce(ji,jj)+u_oce(ji-1,jj))*e2t(ji,jj) & |
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[921] | 268 | & +(u_oce(ji,jj+1)+u_oce(ji-1,jj+1))*e2t(ji,jj+1)) & |
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| 269 | & / (e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
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[825] | 270 | |
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[1469] | 271 | ! Wind stress at U,V-point |
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| 272 | ztagnx = ( 1. - zfrld1(ji,jj) ) * utau_ice(ji,jj) |
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| 273 | ztagny = ( 1. - zfrld2(ji,jj) ) * vtau_ice(ji,jj) |
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[825] | 274 | |
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[834] | 275 | ! Computation of the velocity field taking into account the ice internal interaction. |
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[825] | 276 | ! Terms that are independent of the velocity field. |
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| 277 | |
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| 278 | ! SB On utilise maintenant le gradient de la pente de l'ocean |
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| 279 | ! include it later |
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[834] | 280 | |
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[2528] | 281 | zdsshx = ( ssh_m(ji+1,jj) - ssh_m(ji,jj) ) / e1u(ji,jj) |
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| 282 | zdsshy = ( ssh_m(ji,jj+1) - ssh_m(ji,jj) ) / e2v(ji,jj) |
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[825] | 283 | |
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| 284 | za1ct(ji,jj) = ztagnx - zmass1(ji,jj) * grav * zdsshx |
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| 285 | za2ct(ji,jj) = ztagny - zmass2(ji,jj) * grav * zdsshy |
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| 286 | |
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| 287 | END DO |
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| 288 | END DO |
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| 289 | |
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[921] | 290 | ! |
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| 291 | !------------------------------------------------------------------------------! |
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| 292 | ! 3) Solution of the momentum equation, iterative procedure |
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| 293 | !------------------------------------------------------------------------------! |
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| 294 | ! |
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[825] | 295 | ! Time step for subcycling |
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| 296 | dtevp = rdt_ice / nevp |
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[2528] | 297 | dtotel = dtevp / ( 2._wp * telast ) |
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[825] | 298 | |
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| 299 | !-ecc2: square of yield ellipse eccenticrity (reminder: must become a namelist parameter) |
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[2528] | 300 | ecc2 = ecc * ecc |
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[825] | 301 | |
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| 302 | !-Initialise stress tensor |
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[2528] | 303 | zs1 (:,:) = stress1_i (:,:) |
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| 304 | zs2 (:,:) = stress2_i (:,:) |
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[866] | 305 | zs12(:,:) = stress12_i(:,:) |
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[825] | 306 | |
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[2528] | 307 | ! !----------------------! |
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[868] | 308 | DO jter = 1 , nevp ! loop over jter ! |
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[2528] | 309 | ! !----------------------! |
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[825] | 310 | DO jj = k_j1, k_jpj-1 |
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[2528] | 311 | zu_ice(:,jj) = u_ice(:,jj) ! velocity at previous time step |
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[825] | 312 | zv_ice(:,jj) = v_ice(:,jj) |
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[921] | 313 | END DO |
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[825] | 314 | |
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[834] | 315 | DO jj = k_j1+1, k_jpj-1 |
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[988] | 316 | DO ji = fs_2, jpim1 !RB bug no vect opt due to tmi |
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[825] | 317 | |
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[921] | 318 | ! |
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| 319 | !- Divergence, tension and shear (Section a. Appendix B of Hunke & Dukowicz, 2002) |
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| 320 | !- zdd(:,:), zdt(:,:): divergence and tension at centre of grid cells |
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| 321 | !- zds(:,:): shear on northeast corner of grid cells |
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| 322 | ! |
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| 323 | !- IMPORTANT REMINDER: Dear Gurvan, note that, the way these terms are coded, |
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| 324 | ! there are many repeated calculations. |
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| 325 | ! Speed could be improved by regrouping terms. For |
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| 326 | ! the moment, however, the stress is on clarity of coding to avoid |
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| 327 | ! bugs (Martin, for Miguel). |
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| 328 | ! |
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| 329 | !- ALSO: arrays zdd, zdt, zds and delta could |
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| 330 | ! be removed in the future to minimise memory demand. |
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| 331 | ! |
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| 332 | !- MORE NOTES: Note that we are calculating deformation rates and stresses on the corners of |
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| 333 | ! grid cells, exactly as in the B grid case. For simplicity, the indexation on |
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| 334 | ! the corners is the same as in the B grid. |
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| 335 | ! |
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| 336 | ! |
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| 337 | zdd(ji,jj) = ( e2u(ji,jj)*u_ice(ji,jj) & |
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| 338 | & -e2u(ji-1,jj)*u_ice(ji-1,jj) & |
---|
| 339 | & +e1v(ji,jj)*v_ice(ji,jj) & |
---|
| 340 | & -e1v(ji,jj-1)*v_ice(ji,jj-1) & |
---|
| 341 | & ) & |
---|
| 342 | & / area(ji,jj) |
---|
[825] | 343 | |
---|
[921] | 344 | zdt(ji,jj) = ( ( u_ice(ji,jj)/e2u(ji,jj) & |
---|
| 345 | & -u_ice(ji-1,jj)/e2u(ji-1,jj) & |
---|
| 346 | & )*e2t(ji,jj)*e2t(ji,jj) & |
---|
| 347 | & -( v_ice(ji,jj)/e1v(ji,jj) & |
---|
| 348 | & -v_ice(ji,jj-1)/e1v(ji,jj-1) & |
---|
| 349 | & )*e1t(ji,jj)*e1t(ji,jj) & |
---|
| 350 | & ) & |
---|
| 351 | & / area(ji,jj) |
---|
[825] | 352 | |
---|
[921] | 353 | ! |
---|
| 354 | zds(ji,jj) = ( ( u_ice(ji,jj+1)/e1u(ji,jj+1) & |
---|
| 355 | & -u_ice(ji,jj)/e1u(ji,jj) & |
---|
| 356 | & )*e1f(ji,jj)*e1f(ji,jj) & |
---|
| 357 | & +( v_ice(ji+1,jj)/e2v(ji+1,jj) & |
---|
| 358 | & -v_ice(ji,jj)/e2v(ji,jj) & |
---|
| 359 | & )*e2f(ji,jj)*e2f(ji,jj) & |
---|
| 360 | & ) & |
---|
| 361 | & / ( e1f(ji,jj) * e2f(ji,jj) ) * ( 2.0 - tmf(ji,jj) ) & |
---|
| 362 | & * tmi(ji,jj) * tmi(ji,jj+1) & |
---|
| 363 | & * tmi(ji+1,jj) * tmi(ji+1,jj+1) |
---|
[825] | 364 | |
---|
| 365 | |
---|
[921] | 366 | v_ice1(ji,jj) = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji+1,jj) & |
---|
| 367 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji,jj)) & |
---|
| 368 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
[825] | 369 | |
---|
[921] | 370 | u_ice2(ji,jj) = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj+1) & |
---|
| 371 | & +(u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj)) & |
---|
| 372 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
[825] | 373 | |
---|
[921] | 374 | END DO |
---|
| 375 | END DO |
---|
[2528] | 376 | CALL lbc_lnk( v_ice1, 'U', -1. ) ; CALL lbc_lnk( u_ice2, 'V', -1. ) ! lateral boundary cond. |
---|
[921] | 377 | |
---|
[868] | 378 | !CDIR NOVERRCHK |
---|
[921] | 379 | DO jj = k_j1+1, k_jpj-1 |
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[868] | 380 | !CDIR NOVERRCHK |
---|
[921] | 381 | DO ji = fs_2, fs_jpim1 |
---|
[825] | 382 | |
---|
[921] | 383 | !- Calculate Delta at centre of grid cells |
---|
[2528] | 384 | zdst = ( e2u(ji , jj) * v_ice1(ji ,jj) & |
---|
| 385 | & - e2u(ji-1, jj) * v_ice1(ji-1,jj) & |
---|
| 386 | & + e1v(ji, jj ) * u_ice2(ji,jj ) & |
---|
| 387 | & - e1v(ji, jj-1) * u_ice2(ji,jj-1) & |
---|
| 388 | & ) & |
---|
[921] | 389 | & / area(ji,jj) |
---|
[825] | 390 | |
---|
[2528] | 391 | delta = SQRT( zdd(ji,jj)*zdd(ji,jj) + ( zdt(ji,jj)*zdt(ji,jj) + zdst*zdst ) * usecc2 ) |
---|
| 392 | deltat(ji,jj) = MAX( SQRT(zdd(ji,jj)**2 + (zdt(ji,jj)**2 + zdst**2)*usecc2), creepl ) |
---|
[825] | 393 | |
---|
[921] | 394 | !-Calculate stress tensor components zs1 and zs2 |
---|
| 395 | !-at centre of grid cells (see section 3.5 of CICE user's guide). |
---|
| 396 | zs1(ji,jj) = ( zs1(ji,jj) & |
---|
| 397 | & - dtotel*( ( 1.0 - alphaevp) * zs1(ji,jj) + & |
---|
| 398 | & ( delta / deltat(ji,jj) - zdd(ji,jj) / deltat(ji,jj) ) & |
---|
| 399 | * zpresh(ji,jj) ) ) & |
---|
| 400 | & / ( 1.0 + alphaevp * dtotel ) |
---|
[825] | 401 | |
---|
[921] | 402 | zs2(ji,jj) = ( zs2(ji,jj) & |
---|
| 403 | & - dtotel*((1.0-alphaevp)*ecc2*zs2(ji,jj) - & |
---|
| 404 | zdt(ji,jj)/deltat(ji,jj)*zpresh(ji,jj)) ) & |
---|
| 405 | & / ( 1.0 + alphaevp*ecc2*dtotel ) |
---|
[825] | 406 | |
---|
[921] | 407 | END DO |
---|
| 408 | END DO |
---|
[825] | 409 | |
---|
[921] | 410 | CALL lbc_lnk( zs1(:,:), 'T', 1. ) |
---|
| 411 | CALL lbc_lnk( zs2(:,:), 'T', 1. ) |
---|
[825] | 412 | |
---|
[868] | 413 | !CDIR NOVERRCHK |
---|
[921] | 414 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 415 | !CDIR NOVERRCHK |
---|
[921] | 416 | DO ji = fs_2, fs_jpim1 |
---|
| 417 | !- Calculate Delta on corners |
---|
| 418 | zddc = ( ( v_ice1(ji,jj+1)/e1u(ji,jj+1) & |
---|
| 419 | & -v_ice1(ji,jj)/e1u(ji,jj) & |
---|
| 420 | & )*e1f(ji,jj)*e1f(ji,jj) & |
---|
| 421 | & +( u_ice2(ji+1,jj)/e2v(ji+1,jj) & |
---|
| 422 | & -u_ice2(ji,jj)/e2v(ji,jj) & |
---|
| 423 | & )*e2f(ji,jj)*e2f(ji,jj) & |
---|
| 424 | & ) & |
---|
| 425 | & / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
[825] | 426 | |
---|
[921] | 427 | zdtc = (-( v_ice1(ji,jj+1)/e1u(ji,jj+1) & |
---|
| 428 | & -v_ice1(ji,jj)/e1u(ji,jj) & |
---|
| 429 | & )*e1f(ji,jj)*e1f(ji,jj) & |
---|
| 430 | & +( u_ice2(ji+1,jj)/e2v(ji+1,jj) & |
---|
| 431 | & -u_ice2(ji,jj)/e2v(ji,jj) & |
---|
| 432 | & )*e2f(ji,jj)*e2f(ji,jj) & |
---|
| 433 | & ) & |
---|
| 434 | & / ( e1f(ji,jj) * e2f(ji,jj) ) |
---|
[825] | 435 | |
---|
[921] | 436 | deltac(ji,jj) = SQRT(zddc**2+(zdtc**2+zds(ji,jj)**2)*usecc2) + creepl |
---|
[825] | 437 | |
---|
[921] | 438 | !-Calculate stress tensor component zs12 at corners (see section 3.5 of CICE user's guide). |
---|
| 439 | zs12(ji,jj) = ( zs12(ji,jj) & |
---|
| 440 | & - dtotel*( (1.0-alphaevp)*ecc2*zs12(ji,jj) - zds(ji,jj) / & |
---|
| 441 | & ( 2.0*deltac(ji,jj) ) * zpreshc(ji,jj))) & |
---|
| 442 | & / ( 1.0 + alphaevp*ecc2*dtotel ) |
---|
[825] | 443 | |
---|
[921] | 444 | END DO ! ji |
---|
| 445 | END DO ! jj |
---|
[825] | 446 | |
---|
[921] | 447 | CALL lbc_lnk( zs12(:,:), 'F', 1. ) |
---|
[825] | 448 | |
---|
[921] | 449 | ! Ice internal stresses (Appendix C of Hunke and Dukowicz, 2002) |
---|
| 450 | DO jj = k_j1+1, k_jpj-1 |
---|
| 451 | DO ji = fs_2, fs_jpim1 |
---|
| 452 | !- contribution of zs1, zs2 and zs12 to zf1 |
---|
| 453 | zf1(ji,jj) = 0.5*( (zs1(ji+1,jj)-zs1(ji,jj))*e2u(ji,jj) & |
---|
| 454 | & +(zs2(ji+1,jj)*e2t(ji+1,jj)**2-zs2(ji,jj)*e2t(ji,jj)**2)/e2u(ji,jj) & |
---|
| 455 | & +2.0*(zs12(ji,jj)*e1f(ji,jj)**2-zs12(ji,jj-1)*e1f(ji,jj-1)**2)/e1u(ji,jj) & |
---|
| 456 | & ) / ( e1u(ji,jj)*e2u(ji,jj) ) |
---|
| 457 | ! contribution of zs1, zs2 and zs12 to zf2 |
---|
| 458 | zf2(ji,jj) = 0.5*( (zs1(ji,jj+1)-zs1(ji,jj))*e1v(ji,jj) & |
---|
| 459 | & -(zs2(ji,jj+1)*e1t(ji,jj+1)**2 - zs2(ji,jj)*e1t(ji,jj)**2)/e1v(ji,jj) & |
---|
| 460 | & + 2.0*(zs12(ji,jj)*e2f(ji,jj)**2 - & |
---|
| 461 | zs12(ji-1,jj)*e2f(ji-1,jj)**2)/e2v(ji,jj) & |
---|
| 462 | & ) / ( e1v(ji,jj)*e2v(ji,jj) ) |
---|
| 463 | END DO |
---|
| 464 | END DO |
---|
[825] | 465 | ! |
---|
| 466 | ! Computation of ice velocity |
---|
| 467 | ! |
---|
| 468 | ! Both the Coriolis term and the ice-ocean drag are solved semi-implicitly. |
---|
| 469 | ! |
---|
[921] | 470 | IF (MOD(jter,2).eq.0) THEN |
---|
[825] | 471 | |
---|
[868] | 472 | !CDIR NOVERRCHK |
---|
[921] | 473 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 474 | !CDIR NOVERRCHK |
---|
[921] | 475 | DO ji = fs_2, fs_jpim1 |
---|
| 476 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass1(ji,jj))))*tmu(ji,jj) |
---|
| 477 | zsang = SIGN ( 1.0 , fcor(ji,jj) ) * sangvg |
---|
| 478 | z0 = zmass1(ji,jj)/dtevp |
---|
[825] | 479 | |
---|
[921] | 480 | ! SB modif because ocean has no slip boundary condition |
---|
| 481 | zv_ice1 = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji,jj) & |
---|
| 482 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji+1,jj)) & |
---|
| 483 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
| 484 | za = rhoco*SQRT((u_ice(ji,jj)-u_oce1(ji,jj))**2 + & |
---|
| 485 | (zv_ice1-v_oce1(ji,jj))**2) * (1.0-zfrld1(ji,jj)) |
---|
| 486 | zr = z0*u_ice(ji,jj) + zf1(ji,jj) + za1ct(ji,jj) + & |
---|
| 487 | za*(cangvg*u_oce1(ji,jj)-zsang*v_oce1(ji,jj)) |
---|
| 488 | zcca = z0+za*cangvg |
---|
| 489 | zccb = zcorl1(ji,jj)+za*zsang |
---|
| 490 | u_ice(ji,jj) = (zr+zccb*zv_ice1)/(zcca+epsd)*zmask |
---|
[825] | 491 | |
---|
[921] | 492 | END DO |
---|
| 493 | END DO |
---|
[825] | 494 | |
---|
[921] | 495 | CALL lbc_lnk( u_ice(:,:), 'U', -1. ) |
---|
[825] | 496 | |
---|
[868] | 497 | !CDIR NOVERRCHK |
---|
[921] | 498 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 499 | !CDIR NOVERRCHK |
---|
[921] | 500 | DO ji = fs_2, fs_jpim1 |
---|
[834] | 501 | |
---|
[921] | 502 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass2(ji,jj))))*tmv(ji,jj) |
---|
| 503 | zsang = SIGN(1.0,fcor(ji,jj))*sangvg |
---|
| 504 | z0 = zmass2(ji,jj)/dtevp |
---|
| 505 | ! SB modif because ocean has no slip boundary condition |
---|
| 506 | zu_ice2 = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj) & |
---|
| 507 | & + (u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj+1)) & |
---|
| 508 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
| 509 | za = rhoco*SQRT((zu_ice2-u_oce2(ji,jj))**2 + & |
---|
| 510 | (v_ice(ji,jj)-v_oce2(ji,jj))**2)*(1.0-zfrld2(ji,jj)) |
---|
| 511 | zr = z0*v_ice(ji,jj) + zf2(ji,jj) + & |
---|
| 512 | za2ct(ji,jj) + za*(cangvg*v_oce2(ji,jj)+zsang*u_oce2(ji,jj)) |
---|
| 513 | zcca = z0+za*cangvg |
---|
| 514 | zccb = zcorl2(ji,jj)+za*zsang |
---|
| 515 | v_ice(ji,jj) = (zr-zccb*zu_ice2)/(zcca+epsd)*zmask |
---|
[825] | 516 | |
---|
[921] | 517 | END DO |
---|
| 518 | END DO |
---|
[825] | 519 | |
---|
[921] | 520 | CALL lbc_lnk( v_ice(:,:), 'V', -1. ) |
---|
[825] | 521 | |
---|
[834] | 522 | ELSE |
---|
[868] | 523 | !CDIR NOVERRCHK |
---|
[921] | 524 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 525 | !CDIR NOVERRCHK |
---|
[921] | 526 | DO ji = fs_2, fs_jpim1 |
---|
| 527 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass2(ji,jj))))*tmv(ji,jj) |
---|
| 528 | zsang = SIGN(1.0,fcor(ji,jj))*sangvg |
---|
| 529 | z0 = zmass2(ji,jj)/dtevp |
---|
| 530 | ! SB modif because ocean has no slip boundary condition |
---|
| 531 | zu_ice2 = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj) & |
---|
| 532 | & +(u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj+1)) & |
---|
| 533 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
[825] | 534 | |
---|
[921] | 535 | za = rhoco*SQRT((zu_ice2-u_oce2(ji,jj))**2 + & |
---|
| 536 | (v_ice(ji,jj)-v_oce2(ji,jj))**2)*(1.0-zfrld2(ji,jj)) |
---|
| 537 | zr = z0*v_ice(ji,jj) + zf2(ji,jj) + & |
---|
| 538 | za2ct(ji,jj) + za*(cangvg*v_oce2(ji,jj)+zsang*u_oce2(ji,jj)) |
---|
| 539 | zcca = z0+za*cangvg |
---|
| 540 | zccb = zcorl2(ji,jj)+za*zsang |
---|
| 541 | v_ice(ji,jj) = (zr-zccb*zu_ice2)/(zcca+epsd)*zmask |
---|
[825] | 542 | |
---|
[921] | 543 | END DO |
---|
| 544 | END DO |
---|
[825] | 545 | |
---|
[921] | 546 | CALL lbc_lnk( v_ice(:,:), 'V', -1. ) |
---|
[825] | 547 | |
---|
[868] | 548 | !CDIR NOVERRCHK |
---|
[921] | 549 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 550 | !CDIR NOVERRCHK |
---|
[921] | 551 | DO ji = fs_2, fs_jpim1 |
---|
| 552 | zmask = (1.0-MAX(rzero,SIGN(rone,-zmass1(ji,jj))))*tmu(ji,jj) |
---|
| 553 | zsang = SIGN(1.0,fcor(ji,jj))*sangvg |
---|
| 554 | z0 = zmass1(ji,jj)/dtevp |
---|
| 555 | ! SB modif because ocean has no slip boundary condition |
---|
| 556 | ! GG Bug |
---|
| 557 | ! zv_ice1 = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji+1,jj) & |
---|
| 558 | ! & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji,jj)) & |
---|
| 559 | ! & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
| 560 | zv_ice1 = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji,jj) & |
---|
| 561 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji+1,jj)) & |
---|
| 562 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
[825] | 563 | |
---|
[921] | 564 | za = rhoco*SQRT((u_ice(ji,jj)-u_oce1(ji,jj))**2 + & |
---|
| 565 | (zv_ice1-v_oce1(ji,jj))**2)*(1.0-zfrld1(ji,jj)) |
---|
| 566 | zr = z0*u_ice(ji,jj) + zf1(ji,jj) + za1ct(ji,jj) + & |
---|
| 567 | za*(cangvg*u_oce1(ji,jj)-zsang*v_oce1(ji,jj)) |
---|
| 568 | zcca = z0+za*cangvg |
---|
| 569 | zccb = zcorl1(ji,jj)+za*zsang |
---|
| 570 | u_ice(ji,jj) = (zr+zccb*zv_ice1)/(zcca+epsd)*zmask |
---|
| 571 | END DO ! ji |
---|
| 572 | END DO ! jj |
---|
[825] | 573 | |
---|
[921] | 574 | CALL lbc_lnk( u_ice(:,:), 'U', -1. ) |
---|
[825] | 575 | |
---|
[921] | 576 | ENDIF |
---|
[3938] | 577 | |
---|
| 578 | !#if defined key_bdy |
---|
| 579 | ! ! clem: change u_ice and v_ice at the boundary for each iteration |
---|
| 580 | ! CALL bdy_ice_lim_dyn() |
---|
| 581 | !#endif |
---|
[825] | 582 | |
---|
[921] | 583 | IF(ln_ctl) THEN |
---|
| 584 | !--- Convergence test. |
---|
| 585 | DO jj = k_j1+1 , k_jpj-1 |
---|
| 586 | zresr(:,jj) = MAX( ABS( u_ice(:,jj) - zu_ice(:,jj) ) , & |
---|
| 587 | ABS( v_ice(:,jj) - zv_ice(:,jj) ) ) |
---|
| 588 | END DO |
---|
| 589 | zresm = MAXVAL( zresr( 1:jpi , k_j1+1:k_jpj-1 ) ) |
---|
| 590 | IF( lk_mpp ) CALL mpp_max( zresm ) ! max over the global domain |
---|
| 591 | ENDIF |
---|
| 592 | |
---|
[3938] | 593 | ! ! ==================== ! |
---|
[868] | 594 | END DO ! end loop over jter ! |
---|
[825] | 595 | ! ! ==================== ! |
---|
[921] | 596 | ! |
---|
| 597 | !------------------------------------------------------------------------------! |
---|
| 598 | ! 4) Prevent ice velocities when the ice is thin |
---|
| 599 | !------------------------------------------------------------------------------! |
---|
[3938] | 600 | !clem : add hminrhg in the namelist |
---|
[921] | 601 | ! |
---|
[3938] | 602 | ! If the ice thickness is below hminrhg (5cm) then ice velocity should equal the |
---|
[834] | 603 | ! ocean velocity, |
---|
| 604 | ! This prevents high velocity when ice is thin |
---|
[868] | 605 | !CDIR NOVERRCHK |
---|
[825] | 606 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 607 | !CDIR NOVERRCHK |
---|
| 608 | DO ji = fs_2, fs_jpim1 |
---|
[825] | 609 | zindb = MAX( 0.0, SIGN( 1.0, at_i(ji,jj) - 1.0e-6 ) ) |
---|
| 610 | zdummy = zindb * vt_i(ji,jj) / MAX(at_i(ji,jj) , 1.0e-06 ) |
---|
[3938] | 611 | IF ( zdummy .LE. hminrhg ) THEN |
---|
[888] | 612 | u_ice(ji,jj) = u_oce(ji,jj) |
---|
| 613 | v_ice(ji,jj) = v_oce(ji,jj) |
---|
[825] | 614 | ENDIF ! zdummy |
---|
| 615 | END DO |
---|
| 616 | END DO |
---|
[866] | 617 | |
---|
[869] | 618 | CALL lbc_lnk( u_ice(:,:), 'U', -1. ) |
---|
| 619 | CALL lbc_lnk( v_ice(:,:), 'V', -1. ) |
---|
| 620 | |
---|
[3938] | 621 | ! clem: change u_ice and v_ice at the boundary |
---|
| 622 | #if defined key_bdy |
---|
| 623 | CALL bdy_ice_lim_dyn() |
---|
| 624 | #endif |
---|
| 625 | |
---|
[868] | 626 | DO jj = k_j1+1, k_jpj-1 |
---|
| 627 | DO ji = fs_2, fs_jpim1 |
---|
| 628 | zindb = MAX( 0.0, SIGN( 1.0, at_i(ji,jj) - 1.0e-6 ) ) |
---|
| 629 | zdummy = zindb * vt_i(ji,jj) / MAX(at_i(ji,jj) , 1.0e-06 ) |
---|
[3938] | 630 | IF ( zdummy .LE. hminrhg ) THEN |
---|
[921] | 631 | v_ice1(ji,jj) = 0.5*( (v_ice(ji,jj)+v_ice(ji,jj-1))*e1t(ji+1,jj) & |
---|
| 632 | & +(v_ice(ji+1,jj)+v_ice(ji+1,jj-1))*e1t(ji,jj)) & |
---|
| 633 | & /(e1t(ji+1,jj)+e1t(ji,jj)) * tmu(ji,jj) |
---|
[868] | 634 | |
---|
[921] | 635 | u_ice2(ji,jj) = 0.5*( (u_ice(ji,jj)+u_ice(ji-1,jj))*e2t(ji,jj+1) & |
---|
| 636 | & +(u_ice(ji,jj+1)+u_ice(ji-1,jj+1))*e2t(ji,jj)) & |
---|
| 637 | & /(e2t(ji,jj+1)+e2t(ji,jj)) * tmv(ji,jj) |
---|
| 638 | ENDIF ! zdummy |
---|
[868] | 639 | END DO |
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| 640 | END DO |
---|
| 641 | |
---|
[869] | 642 | CALL lbc_lnk( u_ice2(:,:), 'V', -1. ) |
---|
| 643 | CALL lbc_lnk( v_ice1(:,:), 'U', -1. ) |
---|
[868] | 644 | |
---|
[866] | 645 | ! Recompute delta, shear and div, inputs for mechanical redistribution |
---|
[868] | 646 | !CDIR NOVERRCHK |
---|
[825] | 647 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 648 | !CDIR NOVERRCHK |
---|
[988] | 649 | DO ji = fs_2, jpim1 !RB bug no vect opt due to tmi |
---|
[825] | 650 | !- zdd(:,:), zdt(:,:): divergence and tension at centre |
---|
| 651 | !- zds(:,:): shear on northeast corner of grid cells |
---|
| 652 | zindb = MAX( 0.0, SIGN( 1.0, at_i(ji,jj) - 1.0e-6 ) ) |
---|
| 653 | zdummy = zindb * vt_i(ji,jj) / MAX(at_i(ji,jj) , 1.0e-06 ) |
---|
| 654 | |
---|
[3938] | 655 | IF ( zdummy .LE. hminrhg ) THEN |
---|
[825] | 656 | |
---|
[921] | 657 | zdd(ji,jj) = ( e2u(ji,jj)*u_ice(ji,jj) & |
---|
| 658 | & -e2u(ji-1,jj)*u_ice(ji-1,jj) & |
---|
| 659 | & +e1v(ji,jj)*v_ice(ji,jj) & |
---|
| 660 | & -e1v(ji,jj-1)*v_ice(ji,jj-1) & |
---|
| 661 | & ) & |
---|
| 662 | & / area(ji,jj) |
---|
[825] | 663 | |
---|
[921] | 664 | zdt(ji,jj) = ( ( u_ice(ji,jj)/e2u(ji,jj) & |
---|
| 665 | & -u_ice(ji-1,jj)/e2u(ji-1,jj) & |
---|
| 666 | & )*e2t(ji,jj)*e2t(ji,jj) & |
---|
| 667 | & -( v_ice(ji,jj)/e1v(ji,jj) & |
---|
| 668 | & -v_ice(ji,jj-1)/e1v(ji,jj-1) & |
---|
| 669 | & )*e1t(ji,jj)*e1t(ji,jj) & |
---|
| 670 | & ) & |
---|
| 671 | & / area(ji,jj) |
---|
| 672 | ! |
---|
| 673 | ! SB modif because ocean has no slip boundary condition |
---|
| 674 | zds(ji,jj) = ( ( u_ice(ji,jj+1) / e1u(ji,jj+1) & |
---|
| 675 | & - u_ice(ji,jj) / e1u(ji,jj) ) & |
---|
| 676 | & * e1f(ji,jj) * e1f(ji,jj) & |
---|
| 677 | & + ( v_ice(ji+1,jj) / e2v(ji+1,jj) & |
---|
| 678 | & - v_ice(ji,jj) / e2v(ji,jj) ) & |
---|
| 679 | & * e2f(ji,jj) * e2f(ji,jj) ) & |
---|
| 680 | & / ( e1f(ji,jj) * e2f(ji,jj) ) * ( 2.0 - tmf(ji,jj) ) & |
---|
| 681 | & * tmi(ji,jj) * tmi(ji,jj+1) & |
---|
| 682 | & * tmi(ji+1,jj) * tmi(ji+1,jj+1) |
---|
[825] | 683 | |
---|
[921] | 684 | zdst = ( e2u( ji , jj ) * v_ice1(ji,jj) & |
---|
| 685 | & - e2u( ji-1, jj ) * v_ice1(ji-1,jj) & |
---|
| 686 | & + e1v( ji , jj ) * u_ice2(ji,jj) & |
---|
| 687 | & - e1v( ji , jj-1 ) * u_ice2(ji,jj-1) & |
---|
| 688 | & ) & |
---|
| 689 | & / area(ji,jj) |
---|
[825] | 690 | |
---|
[921] | 691 | deltat(ji,jj) = SQRT( zdd(ji,jj)*zdd(ji,jj) + & |
---|
| 692 | & ( zdt(ji,jj)*zdt(ji,jj) + zdst*zdst ) * usecc2 & |
---|
| 693 | & ) + creepl |
---|
[825] | 694 | |
---|
[921] | 695 | ENDIF ! zdummy |
---|
[825] | 696 | |
---|
| 697 | END DO !jj |
---|
| 698 | END DO !ji |
---|
[921] | 699 | ! |
---|
| 700 | !------------------------------------------------------------------------------! |
---|
| 701 | ! 5) Store stress tensor and its invariants |
---|
| 702 | !------------------------------------------------------------------------------! |
---|
| 703 | ! |
---|
[866] | 704 | ! * Invariants of the stress tensor are required for limitd_me |
---|
| 705 | ! accelerates convergence and improves stability |
---|
| 706 | DO jj = k_j1+1, k_jpj-1 |
---|
[868] | 707 | DO ji = fs_2, fs_jpim1 |
---|
| 708 | divu_i (ji,jj) = zdd (ji,jj) |
---|
| 709 | delta_i(ji,jj) = deltat(ji,jj) |
---|
[3938] | 710 | ! begin TECLIM change |
---|
| 711 | ! shear_i(ji,jj) = zds (ji,jj) |
---|
| 712 | zdst = ( e2u( ji , jj ) * v_ice1(ji,jj) & |
---|
| 713 | & - e2u( ji-1, jj ) * v_ice1(ji-1,jj) & |
---|
| 714 | & + e1v( ji , jj ) * u_ice2(ji,jj) & |
---|
| 715 | & - e1v( ji , jj-1 ) * u_ice2(ji,jj-1) & |
---|
| 716 | & ) & |
---|
| 717 | & / area(ji,jj) |
---|
| 718 | shear_i(ji,jj) = SQRT( zdt(ji,jj)*zdt(ji,jj) + zdst*zdst ) |
---|
| 719 | ! end TECLIM change |
---|
[825] | 720 | END DO |
---|
[866] | 721 | END DO |
---|
[825] | 722 | |
---|
[866] | 723 | ! Lateral boundary condition |
---|
[868] | 724 | CALL lbc_lnk( divu_i (:,:), 'T', 1. ) |
---|
[825] | 725 | CALL lbc_lnk( delta_i(:,:), 'T', 1. ) |
---|
[3938] | 726 | ! CALL lbc_lnk( shear_i(:,:), 'F', 1. ) |
---|
| 727 | CALL lbc_lnk( shear_i(:,:), 'T', 1. ) |
---|
[866] | 728 | |
---|
[868] | 729 | ! * Store the stress tensor for the next time step |
---|
| 730 | stress1_i (:,:) = zs1 (:,:) |
---|
| 731 | stress2_i (:,:) = zs2 (:,:) |
---|
| 732 | stress12_i(:,:) = zs12(:,:) |
---|
| 733 | |
---|
[921] | 734 | ! |
---|
| 735 | !------------------------------------------------------------------------------! |
---|
| 736 | ! 6) Control prints of residual and charge ellipse |
---|
| 737 | !------------------------------------------------------------------------------! |
---|
| 738 | ! |
---|
[834] | 739 | ! print the residual for convergence |
---|
| 740 | IF(ln_ctl) THEN |
---|
[868] | 741 | WRITE(charout,FMT="('lim_rhg : res =',D23.16, ' iter =',I4)") zresm, jter |
---|
[834] | 742 | CALL prt_ctl_info(charout) |
---|
| 743 | CALL prt_ctl(tab2d_1=u_ice, clinfo1=' lim_rhg : u_ice :', tab2d_2=v_ice, clinfo2=' v_ice :') |
---|
| 744 | ENDIF |
---|
[825] | 745 | |
---|
[834] | 746 | ! print charge ellipse |
---|
| 747 | ! This can be desactivated once the user is sure that the stress state |
---|
| 748 | ! lie on the charge ellipse. See Bouillon et al. 08 for more details |
---|
[825] | 749 | IF(ln_ctl) THEN |
---|
| 750 | CALL prt_ctl_info('lim_rhg : numit :',ivar1=numit) |
---|
| 751 | CALL prt_ctl_info('lim_rhg : nwrite :',ivar1=nwrite) |
---|
| 752 | CALL prt_ctl_info('lim_rhg : MOD :',ivar1=MOD(numit,nwrite)) |
---|
| 753 | IF( MOD(numit,nwrite) .EQ. 0 ) THEN |
---|
| 754 | WRITE(charout,FMT="('lim_rhg :', I4, I6, I1, I1, A10)") 1000, numit, 0, 0, ' ch. ell. ' |
---|
| 755 | CALL prt_ctl_info(charout) |
---|
| 756 | DO jj = k_j1+1, k_jpj-1 |
---|
| 757 | DO ji = 2, jpim1 |
---|
| 758 | IF (zpresh(ji,jj) .GT. 1.0) THEN |
---|
| 759 | sigma1 = ( zs1(ji,jj) + (zs2(ji,jj)**2 + 4*zs12(ji,jj)**2 )**0.5 ) / ( 2*zpresh(ji,jj) ) |
---|
| 760 | sigma2 = ( zs1(ji,jj) - (zs2(ji,jj)**2 + 4*zs12(ji,jj)**2 )**0.5 ) / ( 2*zpresh(ji,jj) ) |
---|
| 761 | WRITE(charout,FMT="('lim_rhg :', I4, I4, D23.16, D23.16, D23.16, D23.16, A10)") |
---|
| 762 | CALL prt_ctl_info(charout) |
---|
| 763 | ENDIF |
---|
| 764 | END DO |
---|
| 765 | END DO |
---|
| 766 | WRITE(charout,FMT="('lim_rhg :', I4, I6, I1, I1, A10)") 2000, numit, 0, 0, ' ch. ell. ' |
---|
| 767 | CALL prt_ctl_info(charout) |
---|
| 768 | ENDIF |
---|
| 769 | ENDIF |
---|
[2715] | 770 | ! |
---|
[3294] | 771 | CALL wrk_dealloc( jpi,jpj, zpresh, zfrld1, zmass1, zcorl1, za1ct , zpreshc, zfrld2, zmass2, zcorl2, za2ct ) |
---|
| 772 | CALL wrk_dealloc( jpi,jpj, zc1 , u_oce1, u_oce2, u_ice2, zusw , v_oce1 , v_oce2, v_ice1 ) |
---|
| 773 | CALL wrk_dealloc( jpi,jpj, zf1 , deltat, zu_ice, zf2 , deltac, zv_ice , zdd , zdt , zds ) |
---|
| 774 | CALL wrk_dealloc( jpi,jpj, zdd , zdt , zds , zs1 , zs2 , zs12 , zresr ) |
---|
| 775 | |
---|
[825] | 776 | END SUBROUTINE lim_rhg |
---|
| 777 | |
---|
| 778 | #else |
---|
| 779 | !!---------------------------------------------------------------------- |
---|
| 780 | !! Default option Dummy module NO LIM sea-ice model |
---|
| 781 | !!---------------------------------------------------------------------- |
---|
| 782 | CONTAINS |
---|
| 783 | SUBROUTINE lim_rhg( k1 , k2 ) ! Dummy routine |
---|
| 784 | WRITE(*,*) 'lim_rhg: You should not have seen this print! error?', k1, k2 |
---|
| 785 | END SUBROUTINE lim_rhg |
---|
| 786 | #endif |
---|
| 787 | |
---|
| 788 | !!============================================================================== |
---|
| 789 | END MODULE limrhg |
---|