[8407] | 1 | MODULE icerhg_evp |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE icerhg_evp *** |
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| 4 | !! Ice rheology : sea ice rheology |
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| 5 | !!====================================================================== |
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| 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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| 9 | !! 3.3 ! 2009-05 (G.Garric) addition of the evp cas |
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| 10 | !! 3.4 ! 2011-01 (A. Porter) dynamical allocation |
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| 11 | !! 3.5 ! 2012-08 (R. Benshila) AGRIF |
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| 12 | !! 3.6 ! 2016-06 (C. Rousset) Rewriting + landfast ice + possibility to use mEVP (Bouillon 2013) |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | #if defined key_lim3 |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! 'key_lim3' LIM-3 sea-ice model |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | !! ice_rhg_evp : computes ice velocities |
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| 19 | !!---------------------------------------------------------------------- |
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| 20 | USE phycst ! Physical constant |
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| 21 | USE par_oce ! Ocean parameters |
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| 22 | USE dom_oce ! Ocean domain |
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| 23 | USE sbc_oce , ONLY : ln_ice_embd, nn_fsbc, ssh_m |
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| 24 | USE sbc_ice , ONLY : utau_ice, vtau_ice, snwice_mass, snwice_mass_b |
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[8517] | 25 | USE ice ! sea-ice: ice variables |
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| 26 | USE icerdgrft ! sea-ice: ice strength |
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[8407] | 27 | ! |
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| 28 | USE lbclnk ! Lateral Boundary Condition / MPP link |
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| 29 | USE lib_mpp ! MPP library |
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| 30 | USE in_out_manager ! I/O manager |
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| 31 | USE prtctl ! Print control |
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| 32 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[8498] | 33 | USE iom ! |
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[8407] | 34 | #if defined key_agrif |
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| 35 | USE agrif_lim3_interp |
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| 36 | #endif |
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| 37 | USE bdy_oce , ONLY: ln_bdy |
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| 38 | USE bdyice |
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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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[8518] | 43 | PUBLIC ice_rhg_evp ! called by icerhg.F90 |
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| 44 | PUBLIC rhg_evp_rst ! called by icerhg.F90 |
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[8407] | 45 | |
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| 46 | !! * Substitutions |
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| 47 | # include "vectopt_loop_substitute.h90" |
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| 48 | !!---------------------------------------------------------------------- |
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[8486] | 49 | !! NEMO/ICE 4.0 , NEMO Consortium (2017) |
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[8407] | 50 | !! $Id: icerhg_evp.F90 8378 2017-07-26 13:55:59Z clem $ |
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| 51 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 52 | !!---------------------------------------------------------------------- |
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| 53 | CONTAINS |
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| 54 | |
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[8515] | 55 | SUBROUTINE ice_rhg_evp( kt, pstress1_i, pstress2_i, pstress12_i, pu_ice, pv_ice, pshear_i, pdivu_i, pdelta_i ) |
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[8407] | 56 | !!------------------------------------------------------------------- |
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| 57 | !! *** SUBROUTINE ice_rhg_evp *** |
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| 58 | !! EVP-C-grid |
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| 59 | !! |
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| 60 | !! ** purpose : determines sea ice drift from wind stress, ice-ocean |
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| 61 | !! stress and sea-surface slope. Ice-ice interaction is described by |
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| 62 | !! a non-linear elasto-viscous-plastic (EVP) law including shear |
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| 63 | !! strength and a bulk rheology (Hunke and Dukowicz, 2002). |
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| 64 | !! |
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| 65 | !! The points in the C-grid look like this, dear reader |
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| 66 | !! |
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| 67 | !! (ji,jj) |
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| 68 | !! | |
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| 69 | !! | |
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| 70 | !! (ji-1,jj) | (ji,jj) |
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| 71 | !! --------- |
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| 72 | !! | | |
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| 73 | !! | (ji,jj) |------(ji,jj) |
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| 74 | !! | | |
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| 75 | !! --------- |
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| 76 | !! (ji-1,jj-1) (ji,jj-1) |
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| 77 | !! |
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| 78 | !! ** Inputs : - wind forcing (stress), oceanic currents |
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| 79 | !! ice total volume (vt_i) per unit area |
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| 80 | !! snow total volume (vt_s) per unit area |
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| 81 | !! |
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| 82 | !! ** Action : - compute u_ice, v_ice : the components of the |
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| 83 | !! sea-ice velocity vector |
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| 84 | !! - compute delta_i, shear_i, divu_i, which are inputs |
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| 85 | !! of the ice thickness distribution |
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| 86 | !! |
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| 87 | !! ** Steps : 1) Compute ice snow mass, ice strength |
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| 88 | !! 2) Compute wind, oceanic stresses, mass terms and |
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| 89 | !! coriolis terms of the momentum equation |
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| 90 | !! 3) Solve the momentum equation (iterative procedure) |
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| 91 | !! 4) Prevent high velocities if the ice is thin |
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| 92 | !! 5) Recompute invariants of the strain rate tensor |
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| 93 | !! which are inputs of the ITD, store stress |
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| 94 | !! for the next time step |
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| 95 | !! 6) Control prints of residual (convergence) |
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| 96 | !! and charge ellipse. |
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| 97 | !! The user should make sure that the parameters |
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| 98 | !! nn_nevp, elastic time scale and rn_creepl maintain stress state |
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| 99 | !! on the charge ellipse for plastic flow |
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| 100 | !! e.g. in the Canadian Archipelago |
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| 101 | !! |
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| 102 | !! ** Notes : There is the possibility to use mEVP from Bouillon 2013 |
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| 103 | !! (by uncommenting some lines in part 3 and changing alpha and beta parameters) |
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| 104 | !! but this solution appears very unstable (see Kimmritz et al 2016) |
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| 105 | !! |
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| 106 | !! References : Hunke and Dukowicz, JPO97 |
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| 107 | !! Bouillon et al., Ocean Modelling 2009 |
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| 108 | !! Bouillon et al., Ocean Modelling 2013 |
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| 109 | !!------------------------------------------------------------------- |
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[8512] | 110 | INTEGER, INTENT(in) :: kt ! time step |
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[8518] | 111 | REAL(wp), DIMENSION(:,:), INTENT(inout) :: pstress1_i, pstress2_i, pstress12_i |
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| 112 | REAL(wp), DIMENSION(:,:), INTENT( out) :: pu_ice, pv_ice, pshear_i, pdivu_i, pdelta_i |
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[8407] | 113 | !! |
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| 114 | INTEGER :: ji, jj ! dummy loop indices |
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| 115 | INTEGER :: jter ! local integers |
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| 116 | |
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| 117 | REAL(wp) :: zrhoco ! rau0 * rn_cio |
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| 118 | REAL(wp) :: zdtevp, z1_dtevp ! time step for subcycling |
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| 119 | REAL(wp) :: ecc2, z1_ecc2 ! square of yield ellipse eccenticity |
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| 120 | REAL(wp) :: zbeta, zalph1, z1_alph1, zalph2, z1_alph2 ! alpha and beta from Bouillon 2009 and 2013 |
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| 121 | REAL(wp) :: zm1, zm2, zm3, zmassU, zmassV ! ice/snow mass |
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| 122 | REAL(wp) :: zdelta, zp_delf, zds2, zdt, zdt2, zdiv, zdiv2 ! temporary scalars |
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| 123 | REAL(wp) :: zTauO, zTauB, zTauE, zvel ! temporary scalars |
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| 124 | |
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| 125 | REAL(wp) :: zresm ! Maximal error on ice velocity |
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| 126 | REAL(wp) :: zintb, zintn ! dummy argument |
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| 127 | REAL(wp) :: zfac_x, zfac_y |
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[8498] | 128 | REAL(wp) :: zshear, zdum1, zdum2 |
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[8407] | 129 | |
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| 130 | REAL(wp), DIMENSION(jpi,jpj) :: z1_e1t0, z1_e2t0 ! scale factors |
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| 131 | REAL(wp), DIMENSION(jpi,jpj) :: zp_delt ! P/delta at T points |
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| 132 | ! |
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| 133 | REAL(wp), DIMENSION(jpi,jpj) :: zaU , zaV ! ice fraction on U/V points |
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| 134 | REAL(wp), DIMENSION(jpi,jpj) :: zmU_t, zmV_t ! ice/snow mass/dt on U/V points |
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| 135 | REAL(wp), DIMENSION(jpi,jpj) :: zmf ! coriolis parameter at T points |
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| 136 | REAL(wp), DIMENSION(jpi,jpj) :: zTauU_ia , ztauV_ia ! ice-atm. stress at U-V points |
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| 137 | REAL(wp), DIMENSION(jpi,jpj) :: zspgU , zspgV ! surface pressure gradient at U/V points |
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| 138 | REAL(wp), DIMENSION(jpi,jpj) :: v_oceU, u_oceV, v_iceU, u_iceV ! ocean/ice u/v component on V/U points |
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| 139 | REAL(wp), DIMENSION(jpi,jpj) :: zfU , zfV ! internal stresses |
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| 140 | |
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| 141 | REAL(wp), DIMENSION(jpi,jpj) :: zds ! shear |
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| 142 | REAL(wp), DIMENSION(jpi,jpj) :: zs1, zs2, zs12 ! stress tensor components |
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| 143 | REAL(wp), DIMENSION(jpi,jpj) :: zu_ice, zv_ice, zresr ! check convergence |
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| 144 | REAL(wp), DIMENSION(jpi,jpj) :: zpice ! array used for the calculation of ice surface slope: |
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| 145 | ! ocean surface (ssh_m) if ice is not embedded |
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| 146 | ! ice top surface if ice is embedded |
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| 147 | REAL(wp), DIMENSION(jpi,jpj) :: zCorx, zCory ! Coriolis stress array |
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| 148 | REAL(wp), DIMENSION(jpi,jpj) :: ztaux_oi, ztauy_oi ! Ocean-to-ice stress array |
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| 149 | |
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| 150 | REAL(wp), DIMENSION(jpi,jpj) :: zswitchU, zswitchV ! dummy arrays |
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| 151 | REAL(wp), DIMENSION(jpi,jpj) :: zmaskU, zmaskV ! mask for ice presence |
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| 152 | REAL(wp), DIMENSION(jpi,jpj) :: zfmask, zwf ! mask at F points for the ice |
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| 153 | |
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| 154 | REAL(wp), PARAMETER :: zepsi = 1.0e-20_wp ! tolerance parameter |
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| 155 | REAL(wp), PARAMETER :: zmmin = 1._wp ! ice mass (kg/m2) below which ice velocity equals ocean velocity |
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[8498] | 156 | !! --- diags |
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[8500] | 157 | REAL(wp), DIMENSION(jpi,jpj) :: zswi |
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| 158 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zsig1, zsig2, zsig3 |
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[8498] | 159 | !! --- SIMIP diags |
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| 160 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_sig1 ! Average normal stress in sea ice |
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| 161 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_sig2 ! Maximum shear stress in sea ice |
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| 162 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_dssh_dx ! X-direction sea-surface tilt term (N/m2) |
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| 163 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_dssh_dy ! X-direction sea-surface tilt term (N/m2) |
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| 164 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_corstrx ! X-direction coriolis stress (N/m2) |
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| 165 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_corstry ! Y-direction coriolis stress (N/m2) |
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| 166 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_intstrx ! X-direction internal stress (N/m2) |
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| 167 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_intstry ! Y-direction internal stress (N/m2) |
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| 168 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_utau_oi ! X-direction ocean-ice stress |
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| 169 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_vtau_oi ! Y-direction ocean-ice stress |
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| 170 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xmtrp_ice ! X-component of ice mass transport (kg/s) |
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| 171 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_ymtrp_ice ! Y-component of ice mass transport (kg/s) |
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| 172 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xmtrp_snw ! X-component of snow mass transport (kg/s) |
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| 173 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_ymtrp_snw ! Y-component of snow mass transport (kg/s) |
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| 174 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_xatrp ! X-component of area transport (m2/s) |
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| 175 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zdiag_yatrp ! Y-component of area transport (m2/s) |
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[8407] | 176 | !!------------------------------------------------------------------- |
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| 177 | |
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[8512] | 178 | IF( kt == nit000 .AND. lwp ) WRITE(numout,*) '-- ice_rhg_evp: EVP sea-ice rheology' |
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| 179 | |
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[8407] | 180 | #if defined key_agrif |
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| 181 | CALL agrif_interp_lim3( 'U', 0, nn_nevp ) ! First interpolation of coarse values |
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| 182 | CALL agrif_interp_lim3( 'V', 0, nn_nevp ) |
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| 183 | #endif |
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| 184 | ! |
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| 185 | !------------------------------------------------------------------------------! |
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| 186 | ! 0) mask at F points for the ice |
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| 187 | !------------------------------------------------------------------------------! |
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| 188 | ! ocean/land mask |
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| 189 | DO jj = 1, jpjm1 |
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| 190 | DO ji = 1, jpim1 ! NO vector opt. |
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| 191 | zfmask(ji,jj) = tmask(ji,jj,1) * tmask(ji+1,jj,1) * tmask(ji,jj+1,1) * tmask(ji+1,jj+1,1) |
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| 192 | END DO |
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| 193 | END DO |
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| 194 | CALL lbc_lnk( zfmask, 'F', 1._wp ) |
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| 195 | |
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| 196 | ! Lateral boundary conditions on velocity (modify zfmask) |
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| 197 | zwf(:,:) = zfmask(:,:) |
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| 198 | DO jj = 2, jpjm1 |
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| 199 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 200 | IF( zfmask(ji,jj) == 0._wp ) THEN |
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| 201 | zfmask(ji,jj) = rn_ishlat * MIN( 1._wp , MAX( zwf(ji+1,jj), zwf(ji,jj+1), zwf(ji-1,jj), zwf(ji,jj-1) ) ) |
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| 202 | ENDIF |
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| 203 | END DO |
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| 204 | END DO |
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| 205 | DO jj = 2, jpjm1 |
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| 206 | IF( zfmask(1,jj) == 0._wp ) THEN |
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| 207 | zfmask(1 ,jj) = rn_ishlat * MIN( 1._wp , MAX( zwf(2,jj), zwf(1,jj+1), zwf(1,jj-1) ) ) |
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| 208 | ENDIF |
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| 209 | IF( zfmask(jpi,jj) == 0._wp ) THEN |
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| 210 | zfmask(jpi,jj) = rn_ishlat * MIN( 1._wp , MAX( zwf(jpi,jj+1), zwf(jpim1,jj), zwf(jpi,jj-1) ) ) |
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| 211 | ENDIF |
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| 212 | END DO |
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| 213 | DO ji = 2, jpim1 |
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| 214 | IF( zfmask(ji,1) == 0._wp ) THEN |
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| 215 | zfmask(ji,1 ) = rn_ishlat * MIN( 1._wp , MAX( zwf(ji+1,1), zwf(ji,2), zwf(ji-1,1) ) ) |
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| 216 | ENDIF |
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| 217 | IF( zfmask(ji,jpj) == 0._wp ) THEN |
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| 218 | zfmask(ji,jpj) = rn_ishlat * MIN( 1._wp , MAX( zwf(ji+1,jpj), zwf(ji-1,jpj), zwf(ji,jpjm1) ) ) |
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| 219 | ENDIF |
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| 220 | END DO |
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| 221 | CALL lbc_lnk( zfmask, 'F', 1._wp ) |
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| 222 | |
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| 223 | !------------------------------------------------------------------------------! |
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| 224 | ! 1) define some variables and initialize arrays |
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| 225 | !------------------------------------------------------------------------------! |
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| 226 | zrhoco = rau0 * rn_cio |
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| 227 | |
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| 228 | ! ecc2: square of yield ellipse eccenticrity |
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| 229 | ecc2 = rn_ecc * rn_ecc |
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| 230 | z1_ecc2 = 1._wp / ecc2 |
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| 231 | |
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| 232 | ! Time step for subcycling |
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| 233 | zdtevp = rdt_ice / REAL( nn_nevp ) |
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| 234 | z1_dtevp = 1._wp / zdtevp |
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| 235 | |
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| 236 | ! alpha parameters (Bouillon 2009) |
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| 237 | zalph1 = ( 2._wp * rn_relast * rdt_ice ) * z1_dtevp |
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| 238 | zalph2 = zalph1 * z1_ecc2 |
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| 239 | |
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| 240 | ! alpha and beta parameters (Bouillon 2013) |
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| 241 | !!zalph1 = 40. |
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| 242 | !!zalph2 = 40. |
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| 243 | !!zbeta = 3000. |
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| 244 | !!zbeta = REAL( nn_nevp ) ! close to classical EVP of Hunke (2001) |
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| 245 | |
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| 246 | z1_alph1 = 1._wp / ( zalph1 + 1._wp ) |
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| 247 | z1_alph2 = 1._wp / ( zalph2 + 1._wp ) |
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| 248 | |
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| 249 | ! Initialise stress tensor |
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[8515] | 250 | zs1 (:,:) = pstress1_i (:,:) |
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| 251 | zs2 (:,:) = pstress2_i (:,:) |
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| 252 | zs12(:,:) = pstress12_i(:,:) |
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[8407] | 253 | |
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| 254 | ! Ice strength |
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[8512] | 255 | CALL ice_rdgrft_strength |
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[8407] | 256 | |
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| 257 | ! scale factors |
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| 258 | DO jj = 2, jpjm1 |
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| 259 | DO ji = fs_2, fs_jpim1 |
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| 260 | z1_e1t0(ji,jj) = 1._wp / ( e1t(ji+1,jj ) + e1t(ji,jj ) ) |
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| 261 | z1_e2t0(ji,jj) = 1._wp / ( e2t(ji ,jj+1) + e2t(ji,jj ) ) |
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| 262 | END DO |
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| 263 | END DO |
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| 264 | |
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| 265 | ! |
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| 266 | !------------------------------------------------------------------------------! |
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| 267 | ! 2) Wind / ocean stress, mass terms, coriolis terms |
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| 268 | !------------------------------------------------------------------------------! |
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| 269 | |
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| 270 | IF( ln_ice_embd ) THEN !== embedded sea ice: compute representative ice top surface ==! |
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| 271 | ! |
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| 272 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[n/nn_fsbc], n=0,nn_fsbc-1} |
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| 273 | ! = (1/nn_fsbc)^2 * {SUM[n], n=0,nn_fsbc-1} |
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| 274 | zintn = REAL( nn_fsbc - 1 ) / REAL( nn_fsbc ) * 0.5_wp |
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| 275 | ! |
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| 276 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[1-n/nn_fsbc], n=0,nn_fsbc-1} |
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| 277 | ! = (1/nn_fsbc)^2 * (nn_fsbc^2 - {SUM[n], n=0,nn_fsbc-1}) |
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| 278 | zintb = REAL( nn_fsbc + 1 ) / REAL( nn_fsbc ) * 0.5_wp |
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| 279 | ! |
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| 280 | zpice(:,:) = ssh_m(:,:) + ( zintn * snwice_mass(:,:) + zintb * snwice_mass_b(:,:) ) * r1_rau0 |
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| 281 | ! |
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| 282 | ELSE !== non-embedded sea ice: use ocean surface for slope calculation ==! |
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| 283 | zpice(:,:) = ssh_m(:,:) |
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| 284 | ENDIF |
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| 285 | |
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| 286 | DO jj = 2, jpjm1 |
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| 287 | DO ji = fs_2, fs_jpim1 |
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| 288 | |
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| 289 | ! ice fraction at U-V points |
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| 290 | zaU(ji,jj) = 0.5_wp * ( at_i(ji,jj) * e1e2t(ji,jj) + at_i(ji+1,jj) * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) |
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| 291 | zaV(ji,jj) = 0.5_wp * ( at_i(ji,jj) * e1e2t(ji,jj) + at_i(ji,jj+1) * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) |
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| 292 | |
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| 293 | ! Ice/snow mass at U-V points |
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| 294 | zm1 = ( rhosn * vt_s(ji ,jj ) + rhoic * vt_i(ji ,jj ) ) |
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| 295 | zm2 = ( rhosn * vt_s(ji+1,jj ) + rhoic * vt_i(ji+1,jj ) ) |
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| 296 | zm3 = ( rhosn * vt_s(ji ,jj+1) + rhoic * vt_i(ji ,jj+1) ) |
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| 297 | zmassU = 0.5_wp * ( zm1 * e1e2t(ji,jj) + zm2 * e1e2t(ji+1,jj) ) * r1_e1e2u(ji,jj) * umask(ji,jj,1) |
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| 298 | zmassV = 0.5_wp * ( zm1 * e1e2t(ji,jj) + zm3 * e1e2t(ji,jj+1) ) * r1_e1e2v(ji,jj) * vmask(ji,jj,1) |
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| 299 | |
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| 300 | ! Ocean currents at U-V points |
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| 301 | v_oceU(ji,jj) = 0.5_wp * ( ( v_oce(ji ,jj) + v_oce(ji ,jj-1) ) * e1t(ji+1,jj) & |
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| 302 | & + ( v_oce(ji+1,jj) + v_oce(ji+1,jj-1) ) * e1t(ji ,jj) ) * z1_e1t0(ji,jj) * umask(ji,jj,1) |
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| 303 | |
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| 304 | u_oceV(ji,jj) = 0.5_wp * ( ( u_oce(ji,jj ) + u_oce(ji-1,jj ) ) * e2t(ji,jj+1) & |
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| 305 | & + ( u_oce(ji,jj+1) + u_oce(ji-1,jj+1) ) * e2t(ji,jj ) ) * z1_e2t0(ji,jj) * vmask(ji,jj,1) |
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| 306 | |
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| 307 | ! Coriolis at T points (m*f) |
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| 308 | zmf(ji,jj) = zm1 * ff_t(ji,jj) |
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| 309 | |
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| 310 | ! m/dt |
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| 311 | zmU_t(ji,jj) = zmassU * z1_dtevp |
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| 312 | zmV_t(ji,jj) = zmassV * z1_dtevp |
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| 313 | |
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| 314 | ! Drag ice-atm. |
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| 315 | zTauU_ia(ji,jj) = zaU(ji,jj) * utau_ice(ji,jj) |
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| 316 | zTauV_ia(ji,jj) = zaV(ji,jj) * vtau_ice(ji,jj) |
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| 317 | |
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| 318 | ! Surface pressure gradient (- m*g*GRAD(ssh)) at U-V points |
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| 319 | zspgU(ji,jj) = - zmassU * grav * ( zpice(ji+1,jj) - zpice(ji,jj) ) * r1_e1u(ji,jj) |
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| 320 | zspgV(ji,jj) = - zmassV * grav * ( zpice(ji,jj+1) - zpice(ji,jj) ) * r1_e2v(ji,jj) |
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| 321 | |
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| 322 | ! masks |
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| 323 | zmaskU(ji,jj) = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zmassU ) ) ! 0 if no ice |
---|
| 324 | zmaskV(ji,jj) = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zmassV ) ) ! 0 if no ice |
---|
| 325 | |
---|
| 326 | ! switches |
---|
| 327 | zswitchU(ji,jj) = MAX( 0._wp, SIGN( 1._wp, zmassU - zmmin ) ) ! 0 if ice mass < zmmin |
---|
| 328 | zswitchV(ji,jj) = MAX( 0._wp, SIGN( 1._wp, zmassV - zmmin ) ) ! 0 if ice mass < zmmin |
---|
| 329 | |
---|
| 330 | END DO |
---|
| 331 | END DO |
---|
| 332 | CALL lbc_lnk( zmf, 'T', 1. ) |
---|
| 333 | ! |
---|
| 334 | !------------------------------------------------------------------------------! |
---|
| 335 | ! 3) Solution of the momentum equation, iterative procedure |
---|
| 336 | !------------------------------------------------------------------------------! |
---|
| 337 | ! |
---|
| 338 | ! !----------------------! |
---|
| 339 | DO jter = 1 , nn_nevp ! loop over jter ! |
---|
| 340 | ! !----------------------! |
---|
| 341 | IF(ln_ctl) THEN ! Convergence test |
---|
| 342 | DO jj = 1, jpjm1 |
---|
[8515] | 343 | zu_ice(:,jj) = pu_ice(:,jj) ! velocity at previous time step |
---|
| 344 | zv_ice(:,jj) = pv_ice(:,jj) |
---|
[8407] | 345 | END DO |
---|
| 346 | ENDIF |
---|
| 347 | |
---|
| 348 | ! --- divergence, tension & shear (Appendix B of Hunke & Dukowicz, 2002) --- ! |
---|
| 349 | DO jj = 1, jpjm1 ! loops start at 1 since there is no boundary condition (lbc_lnk) at i=1 and j=1 for F points |
---|
| 350 | DO ji = 1, jpim1 |
---|
| 351 | |
---|
| 352 | ! shear at F points |
---|
[8515] | 353 | zds(ji,jj) = ( ( pu_ice(ji,jj+1) * r1_e1u(ji,jj+1) - pu_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & |
---|
| 354 | & + ( pv_ice(ji+1,jj) * r1_e2v(ji+1,jj) - pv_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & |
---|
[8407] | 355 | & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) |
---|
| 356 | |
---|
| 357 | END DO |
---|
| 358 | END DO |
---|
| 359 | CALL lbc_lnk( zds, 'F', 1. ) |
---|
| 360 | |
---|
| 361 | DO jj = 2, jpjm1 |
---|
| 362 | DO ji = 2, jpim1 ! no vector loop |
---|
| 363 | |
---|
| 364 | ! shear**2 at T points (doc eq. A16) |
---|
| 365 | zds2 = ( zds(ji,jj ) * zds(ji,jj ) * e1e2f(ji,jj ) + zds(ji-1,jj ) * zds(ji-1,jj ) * e1e2f(ji-1,jj ) & |
---|
| 366 | & + zds(ji,jj-1) * zds(ji,jj-1) * e1e2f(ji,jj-1) + zds(ji-1,jj-1) * zds(ji-1,jj-1) * e1e2f(ji-1,jj-1) & |
---|
| 367 | & ) * 0.25_wp * r1_e1e2t(ji,jj) |
---|
| 368 | |
---|
| 369 | ! divergence at T points |
---|
[8515] | 370 | zdiv = ( e2u(ji,jj) * pu_ice(ji,jj) - e2u(ji-1,jj) * pu_ice(ji-1,jj) & |
---|
| 371 | & + e1v(ji,jj) * pv_ice(ji,jj) - e1v(ji,jj-1) * pv_ice(ji,jj-1) & |
---|
[8407] | 372 | & ) * r1_e1e2t(ji,jj) |
---|
| 373 | zdiv2 = zdiv * zdiv |
---|
| 374 | |
---|
| 375 | ! tension at T points |
---|
[8515] | 376 | zdt = ( ( pu_ice(ji,jj) * r1_e2u(ji,jj) - pu_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & |
---|
| 377 | & - ( pv_ice(ji,jj) * r1_e1v(ji,jj) - pv_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & |
---|
[8407] | 378 | & ) * r1_e1e2t(ji,jj) |
---|
| 379 | zdt2 = zdt * zdt |
---|
| 380 | |
---|
| 381 | ! delta at T points |
---|
| 382 | zdelta = SQRT( zdiv2 + ( zdt2 + zds2 ) * z1_ecc2 ) |
---|
| 383 | |
---|
| 384 | ! P/delta at T points |
---|
| 385 | zp_delt(ji,jj) = strength(ji,jj) / ( zdelta + rn_creepl ) |
---|
| 386 | |
---|
| 387 | ! stress at T points |
---|
| 388 | zs1(ji,jj) = ( zs1(ji,jj) * zalph1 + zp_delt(ji,jj) * ( zdiv - zdelta ) ) * z1_alph1 |
---|
| 389 | zs2(ji,jj) = ( zs2(ji,jj) * zalph2 + zp_delt(ji,jj) * ( zdt * z1_ecc2 ) ) * z1_alph2 |
---|
| 390 | |
---|
| 391 | END DO |
---|
| 392 | END DO |
---|
| 393 | CALL lbc_lnk( zp_delt, 'T', 1. ) |
---|
| 394 | |
---|
| 395 | DO jj = 1, jpjm1 |
---|
| 396 | DO ji = 1, jpim1 |
---|
| 397 | |
---|
| 398 | ! P/delta at F points |
---|
| 399 | zp_delf = 0.25_wp * ( zp_delt(ji,jj) + zp_delt(ji+1,jj) + zp_delt(ji,jj+1) + zp_delt(ji+1,jj+1) ) |
---|
| 400 | |
---|
| 401 | ! stress at F points |
---|
| 402 | zs12(ji,jj)= ( zs12(ji,jj) * zalph2 + zp_delf * ( zds(ji,jj) * z1_ecc2 ) * 0.5_wp ) * z1_alph2 |
---|
| 403 | |
---|
| 404 | END DO |
---|
| 405 | END DO |
---|
| 406 | CALL lbc_lnk_multi( zs1, 'T', 1., zs2, 'T', 1., zs12, 'F', 1. ) |
---|
| 407 | |
---|
| 408 | |
---|
| 409 | ! --- Ice internal stresses (Appendix C of Hunke and Dukowicz, 2002) --- ! |
---|
| 410 | DO jj = 2, jpjm1 |
---|
| 411 | DO ji = fs_2, fs_jpim1 |
---|
[8486] | 412 | ! !--- U points |
---|
[8407] | 413 | zfU(ji,jj) = 0.5_wp * ( ( zs1(ji+1,jj) - zs1(ji,jj) ) * e2u(ji,jj) & |
---|
| 414 | & + ( zs2(ji+1,jj) * e2t(ji+1,jj) * e2t(ji+1,jj) - zs2(ji,jj) * e2t(ji,jj) * e2t(ji,jj) & |
---|
| 415 | & ) * r1_e2u(ji,jj) & |
---|
| 416 | & + ( zs12(ji,jj) * e1f(ji,jj) * e1f(ji,jj) - zs12(ji,jj-1) * e1f(ji,jj-1) * e1f(ji,jj-1) & |
---|
| 417 | & ) * 2._wp * r1_e1u(ji,jj) & |
---|
| 418 | & ) * r1_e1e2u(ji,jj) |
---|
[8486] | 419 | ! |
---|
| 420 | ! !--- V points |
---|
[8407] | 421 | zfV(ji,jj) = 0.5_wp * ( ( zs1(ji,jj+1) - zs1(ji,jj) ) * e1v(ji,jj) & |
---|
| 422 | & - ( zs2(ji,jj+1) * e1t(ji,jj+1) * e1t(ji,jj+1) - zs2(ji,jj) * e1t(ji,jj) * e1t(ji,jj) & |
---|
| 423 | & ) * r1_e1v(ji,jj) & |
---|
| 424 | & + ( zs12(ji,jj) * e2f(ji,jj) * e2f(ji,jj) - zs12(ji-1,jj) * e2f(ji-1,jj) * e2f(ji-1,jj) & |
---|
| 425 | & ) * 2._wp * r1_e2v(ji,jj) & |
---|
| 426 | & ) * r1_e1e2v(ji,jj) |
---|
[8486] | 427 | ! |
---|
| 428 | ! !--- u_ice at V point |
---|
[8515] | 429 | u_iceV(ji,jj) = 0.5_wp * ( ( pu_ice(ji,jj ) + pu_ice(ji-1,jj ) ) * e2t(ji,jj+1) & |
---|
| 430 | & + ( pu_ice(ji,jj+1) + pu_ice(ji-1,jj+1) ) * e2t(ji,jj ) ) * z1_e2t0(ji,jj) * vmask(ji,jj,1) |
---|
[8486] | 431 | ! |
---|
| 432 | ! !--- v_ice at U point |
---|
[8515] | 433 | v_iceU(ji,jj) = 0.5_wp * ( ( pv_ice(ji ,jj) + pv_ice(ji ,jj-1) ) * e1t(ji+1,jj) & |
---|
| 434 | & + ( pv_ice(ji+1,jj) + pv_ice(ji+1,jj-1) ) * e1t(ji ,jj) ) * z1_e1t0(ji,jj) * umask(ji,jj,1) |
---|
[8486] | 435 | ! |
---|
[8407] | 436 | END DO |
---|
| 437 | END DO |
---|
| 438 | ! |
---|
| 439 | ! --- Computation of ice velocity --- ! |
---|
| 440 | ! Bouillon et al. 2013 (eq 47-48) => unstable unless alpha, beta are chosen wisely and large nn_nevp |
---|
| 441 | ! Bouillon et al. 2009 (eq 34-35) => stable |
---|
[8486] | 442 | IF( MOD(jter,2) == 0 ) THEN ! even iterations |
---|
| 443 | ! |
---|
[8407] | 444 | DO jj = 2, jpjm1 |
---|
| 445 | DO ji = fs_2, fs_jpim1 |
---|
[8486] | 446 | ! !--- tau_io/(v_oce - v_ice) |
---|
[8515] | 447 | zTauO = zaV(ji,jj) * zrhoco * SQRT( ( pv_ice(ji,jj) - v_oce (ji,jj) ) * ( pv_ice(ji,jj) - v_oce (ji,jj) ) & |
---|
[8407] | 448 | & + ( u_iceV(ji,jj) - u_oceV(ji,jj) ) * ( u_iceV(ji,jj) - u_oceV(ji,jj) ) ) |
---|
[8486] | 449 | ! !--- Ocean-to-Ice stress |
---|
[8515] | 450 | ztauy_oi(ji,jj) = zTauO * ( v_oce(ji,jj) - pv_ice(ji,jj) ) |
---|
[8486] | 451 | ! |
---|
| 452 | ! !--- tau_bottom/v_ice |
---|
[8515] | 453 | zvel = MAX( zepsi, SQRT( pv_ice(ji,jj) * pv_ice(ji,jj) + u_iceV(ji,jj) * u_iceV(ji,jj) ) ) |
---|
[8407] | 454 | zTauB = - tau_icebfr(ji,jj) / zvel |
---|
[8486] | 455 | ! |
---|
| 456 | ! !--- Coriolis at V-points (energy conserving formulation) |
---|
[8407] | 457 | zCory(ji,jj) = - 0.25_wp * r1_e2v(ji,jj) * & |
---|
[8515] | 458 | & ( zmf(ji,jj ) * ( e2u(ji,jj ) * pu_ice(ji,jj ) + e2u(ji-1,jj ) * pu_ice(ji-1,jj ) ) & |
---|
| 459 | & + zmf(ji,jj+1) * ( e2u(ji,jj+1) * pu_ice(ji,jj+1) + e2u(ji-1,jj+1) * pu_ice(ji-1,jj+1) ) ) |
---|
[8486] | 460 | ! |
---|
| 461 | ! !--- Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io |
---|
[8407] | 462 | zTauE = zfV(ji,jj) + zTauV_ia(ji,jj) + zCory(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj) |
---|
[8486] | 463 | ! |
---|
| 464 | ! !--- landfast switch => 0 = static friction ; 1 = sliding friction |
---|
[8407] | 465 | rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, ztauE - tau_icebfr(ji,jj) ) - SIGN( 1._wp, zTauE ) ) ) |
---|
[8486] | 466 | ! |
---|
| 467 | ! !--- ice velocity using implicit formulation (cf Madec doc & Bouillon 2009) |
---|
[8515] | 468 | pv_ice(ji,jj) = ( ( rswitch * ( zmV_t(ji,jj) * pv_ice(ji,jj) & ! previous velocity |
---|
| 469 | & + zTauE + zTauO * pv_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) |
---|
| 470 | & ) / MAX( zepsi, zmV_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast |
---|
| 471 | & + ( 1._wp - rswitch ) * pv_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lfrelax ) & ! static friction => slow decrease to v=0 |
---|
| 472 | & ) * zswitchV(ji,jj) + v_oce(ji,jj) * ( 1._wp - zswitchV(ji,jj) ) & ! v_ice = v_oce if mass < zmmin |
---|
| 473 | & ) * zmaskV(ji,jj) |
---|
[8486] | 474 | ! |
---|
[8407] | 475 | ! Bouillon 2013 |
---|
[8515] | 476 | !!pv_ice(ji,jj) = ( zmV_t(ji,jj) * ( zbeta * pv_ice(ji,jj) + pv_ice_b(ji,jj) ) & |
---|
[8407] | 477 | !! & + zfV(ji,jj) + zCory(ji,jj) + zTauV_ia(ji,jj) + zTauO * v_oce(ji,jj) + zspgV(ji,jj) & |
---|
| 478 | !! & ) / MAX( zmV_t(ji,jj) * ( zbeta + 1._wp ) + zTauO - zTauB, zepsi ) * zswitchV(ji,jj) |
---|
[8486] | 479 | ! |
---|
[8407] | 480 | END DO |
---|
| 481 | END DO |
---|
[8515] | 482 | CALL lbc_lnk( pv_ice, 'V', -1. ) |
---|
[8486] | 483 | ! |
---|
[8407] | 484 | #if defined key_agrif |
---|
| 485 | !! CALL agrif_interp_lim3( 'V', jter, nn_nevp ) |
---|
| 486 | CALL agrif_interp_lim3( 'V' ) |
---|
| 487 | #endif |
---|
| 488 | IF( ln_bdy ) CALL bdy_ice_dyn( 'V' ) |
---|
[8486] | 489 | ! |
---|
[8407] | 490 | DO jj = 2, jpjm1 |
---|
| 491 | DO ji = fs_2, fs_jpim1 |
---|
| 492 | |
---|
| 493 | ! tau_io/(u_oce - u_ice) |
---|
[8515] | 494 | zTauO = zaU(ji,jj) * zrhoco * SQRT( ( pu_ice(ji,jj) - u_oce (ji,jj) ) * ( pu_ice(ji,jj) - u_oce (ji,jj) ) & |
---|
[8407] | 495 | & + ( v_iceU(ji,jj) - v_oceU(ji,jj) ) * ( v_iceU(ji,jj) - v_oceU(ji,jj) ) ) |
---|
| 496 | |
---|
| 497 | ! Ocean-to-Ice stress |
---|
[8515] | 498 | ztaux_oi(ji,jj) = zTauO * ( u_oce(ji,jj) - pu_ice(ji,jj) ) |
---|
[8407] | 499 | |
---|
| 500 | ! tau_bottom/u_ice |
---|
[8515] | 501 | zvel = MAX( zepsi, SQRT( v_iceU(ji,jj) * v_iceU(ji,jj) + pu_ice(ji,jj) * pu_ice(ji,jj) ) ) |
---|
[8407] | 502 | zTauB = - tau_icebfr(ji,jj) / zvel |
---|
| 503 | |
---|
| 504 | ! Coriolis at U-points (energy conserving formulation) |
---|
| 505 | zCorx(ji,jj) = 0.25_wp * r1_e1u(ji,jj) * & |
---|
[8515] | 506 | & ( zmf(ji ,jj) * ( e1v(ji ,jj) * pv_ice(ji ,jj) + e1v(ji ,jj-1) * pv_ice(ji ,jj-1) ) & |
---|
| 507 | & + zmf(ji+1,jj) * ( e1v(ji+1,jj) * pv_ice(ji+1,jj) + e1v(ji+1,jj-1) * pv_ice(ji+1,jj-1) ) ) |
---|
[8407] | 508 | |
---|
| 509 | ! Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io |
---|
| 510 | zTauE = zfU(ji,jj) + zTauU_ia(ji,jj) + zCorx(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj) |
---|
| 511 | |
---|
| 512 | ! landfast switch => 0 = static friction ; 1 = sliding friction |
---|
| 513 | rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, ztauE - tau_icebfr(ji,jj) ) - SIGN( 1._wp, zTauE ) ) ) |
---|
| 514 | |
---|
| 515 | ! ice velocity using implicit formulation (cf Madec doc & Bouillon 2009) |
---|
[8515] | 516 | pu_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * pu_ice(ji,jj) & ! previous velocity |
---|
| 517 | & + zTauE + zTauO * pu_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) |
---|
| 518 | & ) / MAX( zepsi, zmU_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast |
---|
| 519 | & + ( 1._wp - rswitch ) * pu_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lfrelax ) & ! static friction => slow decrease to v=0 |
---|
| 520 | & ) * zswitchU(ji,jj) + u_oce(ji,jj) * ( 1._wp - zswitchU(ji,jj) ) & ! v_ice = v_oce if mass < zmmin |
---|
| 521 | & ) * zmaskU(ji,jj) |
---|
[8407] | 522 | ! Bouillon 2013 |
---|
[8515] | 523 | !!pu_ice(ji,jj) = ( zmU_t(ji,jj) * ( zbeta * pu_ice(ji,jj) + pu_ice_b(ji,jj) ) & |
---|
[8407] | 524 | !! & + zfU(ji,jj) + zCorx(ji,jj) + zTauU_ia(ji,jj) + zTauO * u_oce(ji,jj) + zspgU(ji,jj) & |
---|
| 525 | !! & ) / MAX( zmU_t(ji,jj) * ( zbeta + 1._wp ) + zTauO - zTauB, zepsi ) * zswitchU(ji,jj) |
---|
| 526 | END DO |
---|
| 527 | END DO |
---|
[8515] | 528 | CALL lbc_lnk( pu_ice, 'U', -1. ) |
---|
[8486] | 529 | ! |
---|
[8407] | 530 | #if defined key_agrif |
---|
| 531 | !! CALL agrif_interp_lim3( 'U', jter, nn_nevp ) |
---|
| 532 | CALL agrif_interp_lim3( 'U' ) |
---|
| 533 | #endif |
---|
| 534 | IF( ln_bdy ) CALL bdy_ice_dyn( 'U' ) |
---|
[8486] | 535 | ! |
---|
[8407] | 536 | ELSE ! odd iterations |
---|
[8486] | 537 | ! |
---|
[8407] | 538 | DO jj = 2, jpjm1 |
---|
| 539 | DO ji = fs_2, fs_jpim1 |
---|
| 540 | |
---|
| 541 | ! tau_io/(u_oce - u_ice) |
---|
[8515] | 542 | zTauO = zaU(ji,jj) * zrhoco * SQRT( ( pu_ice(ji,jj) - u_oce (ji,jj) ) * ( pu_ice(ji,jj) - u_oce (ji,jj) ) & |
---|
[8407] | 543 | & + ( v_iceU(ji,jj) - v_oceU(ji,jj) ) * ( v_iceU(ji,jj) - v_oceU(ji,jj) ) ) |
---|
| 544 | |
---|
| 545 | ! Ocean-to-Ice stress |
---|
[8515] | 546 | ztaux_oi(ji,jj) = zTauO * ( u_oce(ji,jj) - pu_ice(ji,jj) ) |
---|
[8407] | 547 | |
---|
| 548 | ! tau_bottom/u_ice |
---|
[8515] | 549 | zvel = MAX( zepsi, SQRT( v_iceU(ji,jj) * v_iceU(ji,jj) + pu_ice(ji,jj) * pu_ice(ji,jj) ) ) |
---|
[8407] | 550 | zTauB = - tau_icebfr(ji,jj) / zvel |
---|
| 551 | |
---|
| 552 | ! Coriolis at U-points (energy conserving formulation) |
---|
| 553 | zCorx(ji,jj) = 0.25_wp * r1_e1u(ji,jj) * & |
---|
[8515] | 554 | & ( zmf(ji ,jj) * ( e1v(ji ,jj) * pv_ice(ji ,jj) + e1v(ji ,jj-1) * pv_ice(ji ,jj-1) ) & |
---|
| 555 | & + zmf(ji+1,jj) * ( e1v(ji+1,jj) * pv_ice(ji+1,jj) + e1v(ji+1,jj-1) * pv_ice(ji+1,jj-1) ) ) |
---|
[8407] | 556 | |
---|
| 557 | ! Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io |
---|
| 558 | zTauE = zfU(ji,jj) + zTauU_ia(ji,jj) + zCorx(ji,jj) + zspgU(ji,jj) + ztaux_oi(ji,jj) |
---|
| 559 | |
---|
| 560 | ! landfast switch => 0 = static friction ; 1 = sliding friction |
---|
| 561 | rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, ztauE - tau_icebfr(ji,jj) ) - SIGN( 1._wp, zTauE ) ) ) |
---|
| 562 | |
---|
| 563 | ! ice velocity using implicit formulation (cf Madec doc & Bouillon 2009) |
---|
[8515] | 564 | pu_ice(ji,jj) = ( ( rswitch * ( zmU_t(ji,jj) * pu_ice(ji,jj) & ! previous velocity |
---|
| 565 | & + zTauE + zTauO * pu_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) |
---|
| 566 | & ) / MAX( zepsi, zmU_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast |
---|
| 567 | & + ( 1._wp - rswitch ) * pu_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lfrelax ) & ! static friction => slow decrease to v=0 |
---|
| 568 | & ) * zswitchU(ji,jj) + u_oce(ji,jj) * ( 1._wp - zswitchU(ji,jj) ) & ! v_ice = v_oce if mass < zmmin |
---|
| 569 | & ) * zmaskU(ji,jj) |
---|
[8407] | 570 | ! Bouillon 2013 |
---|
[8515] | 571 | !!pu_ice(ji,jj) = ( zmU_t(ji,jj) * ( zbeta * pu_ice(ji,jj) + pu_ice_b(ji,jj) ) & |
---|
[8407] | 572 | !! & + zfU(ji,jj) + zCorx(ji,jj) + zTauU_ia(ji,jj) + zTauO * u_oce(ji,jj) + zspgU(ji,jj) & |
---|
| 573 | !! & ) / MAX( zmU_t(ji,jj) * ( zbeta + 1._wp ) + zTauO - zTauB, zepsi ) * zswitchU(ji,jj) |
---|
| 574 | END DO |
---|
| 575 | END DO |
---|
[8515] | 576 | CALL lbc_lnk( pu_ice, 'U', -1. ) |
---|
[8486] | 577 | ! |
---|
[8407] | 578 | #if defined key_agrif |
---|
| 579 | !! CALL agrif_interp_lim3( 'U', jter, nn_nevp ) |
---|
| 580 | CALL agrif_interp_lim3( 'U' ) |
---|
| 581 | #endif |
---|
| 582 | IF( ln_bdy ) CALL bdy_ice_dyn( 'U' ) |
---|
[8486] | 583 | ! |
---|
[8407] | 584 | DO jj = 2, jpjm1 |
---|
| 585 | DO ji = fs_2, fs_jpim1 |
---|
| 586 | |
---|
| 587 | ! tau_io/(v_oce - v_ice) |
---|
[8515] | 588 | zTauO = zaV(ji,jj) * zrhoco * SQRT( ( pv_ice(ji,jj) - v_oce (ji,jj) ) * ( pv_ice(ji,jj) - v_oce (ji,jj) ) & |
---|
[8407] | 589 | & + ( u_iceV(ji,jj) - u_oceV(ji,jj) ) * ( u_iceV(ji,jj) - u_oceV(ji,jj) ) ) |
---|
| 590 | |
---|
| 591 | ! Ocean-to-Ice stress |
---|
[8515] | 592 | ztauy_oi(ji,jj) = zTauO * ( v_oce(ji,jj) - pv_ice(ji,jj) ) |
---|
[8407] | 593 | |
---|
| 594 | ! tau_bottom/v_ice |
---|
[8515] | 595 | zvel = MAX( zepsi, SQRT( pv_ice(ji,jj) * pv_ice(ji,jj) + u_iceV(ji,jj) * u_iceV(ji,jj) ) ) |
---|
[8407] | 596 | ztauB = - tau_icebfr(ji,jj) / zvel |
---|
| 597 | |
---|
| 598 | ! Coriolis at V-points (energy conserving formulation) |
---|
| 599 | zCory(ji,jj) = - 0.25_wp * r1_e2v(ji,jj) * & |
---|
[8515] | 600 | & ( zmf(ji,jj ) * ( e2u(ji,jj ) * pu_ice(ji,jj ) + e2u(ji-1,jj ) * pu_ice(ji-1,jj ) ) & |
---|
| 601 | & + zmf(ji,jj+1) * ( e2u(ji,jj+1) * pu_ice(ji,jj+1) + e2u(ji-1,jj+1) * pu_ice(ji-1,jj+1) ) ) |
---|
[8407] | 602 | |
---|
| 603 | ! Sum of external forces (explicit solution) = F + tau_ia + Coriolis + spg + tau_io |
---|
| 604 | zTauE = zfV(ji,jj) + zTauV_ia(ji,jj) + zCory(ji,jj) + zspgV(ji,jj) + ztauy_oi(ji,jj) |
---|
| 605 | |
---|
| 606 | ! landfast switch => 0 = static friction (tau_icebfr > zTauE); 1 = sliding friction |
---|
| 607 | rswitch = 1._wp - MIN( 1._wp, ABS( SIGN( 1._wp, zTauE - tau_icebfr(ji,jj) ) - SIGN( 1._wp, zTauE ) ) ) |
---|
| 608 | |
---|
| 609 | ! ice velocity using implicit formulation (cf Madec doc & Bouillon 2009) |
---|
[8515] | 610 | pv_ice(ji,jj) = ( ( rswitch * ( zmV_t(ji,jj) * pv_ice(ji,jj) & ! previous velocity |
---|
| 611 | & + zTauE + zTauO * pv_ice(ji,jj) & ! F + tau_ia + Coriolis + spg + tau_io(only ocean part) |
---|
| 612 | & ) / MAX( zepsi, zmV_t(ji,jj) + zTauO - zTauB ) & ! m/dt + tau_io(only ice part) + landfast |
---|
| 613 | & + ( 1._wp - rswitch ) * pv_ice(ji,jj) * MAX( 0._wp, 1._wp - zdtevp * rn_lfrelax ) & ! static friction => slow decrease to v=0 |
---|
| 614 | & ) * zswitchV(ji,jj) + v_oce(ji,jj) * ( 1._wp - zswitchV(ji,jj) ) & ! v_ice = v_oce if mass < zmmin |
---|
| 615 | & ) * zmaskV(ji,jj) |
---|
[8407] | 616 | ! Bouillon 2013 |
---|
[8515] | 617 | !!pv_ice(ji,jj) = ( zmV_t(ji,jj) * ( zbeta * pv_ice(ji,jj) + pv_ice_b(ji,jj) ) & |
---|
[8407] | 618 | !! & + zfV(ji,jj) + zCory(ji,jj) + zTauV_ia(ji,jj) + zTauO * v_oce(ji,jj) + zspgV(ji,jj) & |
---|
| 619 | !! & ) / MAX( zmV_t(ji,jj) * ( zbeta + 1._wp ) + zTauO - zTauB, zepsi ) * zswitchV(ji,jj) |
---|
| 620 | END DO |
---|
| 621 | END DO |
---|
[8515] | 622 | CALL lbc_lnk( pv_ice, 'V', -1. ) |
---|
[8486] | 623 | ! |
---|
[8407] | 624 | #if defined key_agrif |
---|
| 625 | !! CALL agrif_interp_lim3( 'V', jter, nn_nevp ) |
---|
| 626 | CALL agrif_interp_lim3( 'V' ) |
---|
| 627 | #endif |
---|
| 628 | IF( ln_bdy ) CALL bdy_ice_dyn( 'V' ) |
---|
[8486] | 629 | ! |
---|
[8407] | 630 | ENDIF |
---|
| 631 | |
---|
| 632 | IF(ln_ctl) THEN ! Convergence test |
---|
| 633 | DO jj = 2 , jpjm1 |
---|
[8515] | 634 | zresr(:,jj) = MAX( ABS( pu_ice(:,jj) - zu_ice(:,jj) ), ABS( pv_ice(:,jj) - zv_ice(:,jj) ) ) |
---|
[8407] | 635 | END DO |
---|
| 636 | zresm = MAXVAL( zresr( 1:jpi, 2:jpjm1 ) ) |
---|
| 637 | IF( lk_mpp ) CALL mpp_max( zresm ) ! max over the global domain |
---|
| 638 | ENDIF |
---|
| 639 | ! |
---|
| 640 | ! ! ==================== ! |
---|
| 641 | END DO ! end loop over jter ! |
---|
| 642 | ! ! ==================== ! |
---|
| 643 | ! |
---|
| 644 | !------------------------------------------------------------------------------! |
---|
| 645 | ! 4) Recompute delta, shear and div (inputs for mechanical redistribution) |
---|
| 646 | !------------------------------------------------------------------------------! |
---|
| 647 | DO jj = 1, jpjm1 |
---|
| 648 | DO ji = 1, jpim1 |
---|
| 649 | |
---|
| 650 | ! shear at F points |
---|
[8515] | 651 | zds(ji,jj) = ( ( pu_ice(ji,jj+1) * r1_e1u(ji,jj+1) - pu_ice(ji,jj) * r1_e1u(ji,jj) ) * e1f(ji,jj) * e1f(ji,jj) & |
---|
| 652 | & + ( pv_ice(ji+1,jj) * r1_e2v(ji+1,jj) - pv_ice(ji,jj) * r1_e2v(ji,jj) ) * e2f(ji,jj) * e2f(ji,jj) & |
---|
[8407] | 653 | & ) * r1_e1e2f(ji,jj) * zfmask(ji,jj) |
---|
| 654 | |
---|
| 655 | END DO |
---|
| 656 | END DO |
---|
| 657 | CALL lbc_lnk( zds, 'F', 1. ) |
---|
| 658 | |
---|
| 659 | DO jj = 2, jpjm1 |
---|
| 660 | DO ji = 2, jpim1 ! no vector loop |
---|
| 661 | |
---|
| 662 | ! tension**2 at T points |
---|
[8515] | 663 | zdt = ( ( pu_ice(ji,jj) * r1_e2u(ji,jj) - pu_ice(ji-1,jj) * r1_e2u(ji-1,jj) ) * e2t(ji,jj) * e2t(ji,jj) & |
---|
| 664 | & - ( pv_ice(ji,jj) * r1_e1v(ji,jj) - pv_ice(ji,jj-1) * r1_e1v(ji,jj-1) ) * e1t(ji,jj) * e1t(ji,jj) & |
---|
[8407] | 665 | & ) * r1_e1e2t(ji,jj) |
---|
| 666 | zdt2 = zdt * zdt |
---|
| 667 | |
---|
| 668 | ! shear**2 at T points (doc eq. A16) |
---|
| 669 | zds2 = ( zds(ji,jj ) * zds(ji,jj ) * e1e2f(ji,jj ) + zds(ji-1,jj ) * zds(ji-1,jj ) * e1e2f(ji-1,jj ) & |
---|
| 670 | & + zds(ji,jj-1) * zds(ji,jj-1) * e1e2f(ji,jj-1) + zds(ji-1,jj-1) * zds(ji-1,jj-1) * e1e2f(ji-1,jj-1) & |
---|
| 671 | & ) * 0.25_wp * r1_e1e2t(ji,jj) |
---|
| 672 | |
---|
| 673 | ! shear at T points |
---|
[8515] | 674 | pshear_i(ji,jj) = SQRT( zdt2 + zds2 ) |
---|
[8407] | 675 | |
---|
| 676 | ! divergence at T points |
---|
[8515] | 677 | pdivu_i(ji,jj) = ( e2u(ji,jj) * pu_ice(ji,jj) - e2u(ji-1,jj) * pu_ice(ji-1,jj) & |
---|
| 678 | & + e1v(ji,jj) * pv_ice(ji,jj) - e1v(ji,jj-1) * pv_ice(ji,jj-1) & |
---|
| 679 | & ) * r1_e1e2t(ji,jj) |
---|
[8407] | 680 | |
---|
| 681 | ! delta at T points |
---|
[8515] | 682 | zdelta = SQRT( pdivu_i(ji,jj) * pdivu_i(ji,jj) + ( zdt2 + zds2 ) * z1_ecc2 ) |
---|
[8407] | 683 | rswitch = 1._wp - MAX( 0._wp, SIGN( 1._wp, -zdelta ) ) ! 0 if delta=0 |
---|
[8515] | 684 | pdelta_i(ji,jj) = zdelta + rn_creepl * rswitch |
---|
[8407] | 685 | |
---|
| 686 | END DO |
---|
| 687 | END DO |
---|
[8515] | 688 | CALL lbc_lnk_multi( pshear_i, 'T', 1., pdivu_i, 'T', 1., pdelta_i, 'T', 1. ) |
---|
[8407] | 689 | |
---|
| 690 | ! --- Store the stress tensor for the next time step --- ! |
---|
[8515] | 691 | pstress1_i (:,:) = zs1 (:,:) |
---|
| 692 | pstress2_i (:,:) = zs2 (:,:) |
---|
| 693 | pstress12_i(:,:) = zs12(:,:) |
---|
[8407] | 694 | ! |
---|
| 695 | |
---|
| 696 | !------------------------------------------------------------------------------! |
---|
[8498] | 697 | ! 5) diagnostics |
---|
[8407] | 698 | !------------------------------------------------------------------------------! |
---|
[8500] | 699 | DO jj = 1, jpj |
---|
| 700 | DO ji = 1, jpi |
---|
| 701 | zswi(ji,jj) = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi06 ) ) ! 1 if ice, 0 if no ice |
---|
| 702 | END DO |
---|
| 703 | END DO |
---|
| 704 | |
---|
| 705 | ! --- divergence, shear and strength --- ! |
---|
[8515] | 706 | IF( iom_use('idive') ) CALL iom_put( "idive" , pdivu_i(:,:) * zswi(:,:) ) ! divergence |
---|
| 707 | IF( iom_use('ishear') ) CALL iom_put( "ishear" , pshear_i(:,:) * zswi(:,:) ) ! shear |
---|
[8500] | 708 | IF( iom_use('icestr') ) CALL iom_put( "icestr" , strength(:,:) * zswi(:,:) ) ! Ice strength |
---|
| 709 | |
---|
| 710 | ! --- charge ellipse --- ! |
---|
[8498] | 711 | IF( iom_use('isig1') .OR. iom_use('isig2') .OR. iom_use('isig3') ) THEN |
---|
| 712 | ! |
---|
[8500] | 713 | ALLOCATE( zsig1(jpi,jpj) , zsig2(jpi,jpj) , zsig3(jpi,jpj) ) |
---|
| 714 | ! |
---|
[8498] | 715 | DO jj = 2, jpjm1 |
---|
| 716 | DO ji = 2, jpim1 |
---|
[8515] | 717 | zdum1 = ( zswi(ji-1,jj) * pstress12_i(ji-1,jj) + zswi(ji ,jj-1) * pstress12_i(ji ,jj-1) + & ! stress12_i at T-point |
---|
| 718 | & zswi(ji ,jj) * pstress12_i(ji ,jj) + zswi(ji-1,jj-1) * pstress12_i(ji-1,jj-1) ) & |
---|
| 719 | & / MAX( 1._wp, zswi(ji-1,jj) + zswi(ji,jj-1) + zswi(ji,jj) + zswi(ji-1,jj-1) ) |
---|
[8486] | 720 | |
---|
[8515] | 721 | zshear = SQRT( pstress2_i(ji,jj) * pstress2_i(ji,jj) + 4._wp * zdum1 * zdum1 ) ! shear stress |
---|
[8486] | 722 | |
---|
[8498] | 723 | zdum2 = zswi(ji,jj) / MAX( 1._wp, strength(ji,jj) ) |
---|
[8407] | 724 | |
---|
[8515] | 725 | !! zsig1(ji,jj) = 0.5_wp * zdum2 * ( pstress1_i(ji,jj) + zshear ) ! principal stress (y-direction, see Hunke & Dukowicz 2002) |
---|
| 726 | !! zsig2(ji,jj) = 0.5_wp * zdum2 * ( pstress1_i(ji,jj) - zshear ) ! principal stress (x-direction, see Hunke & Dukowicz 2002) |
---|
| 727 | !! zsig3(ji,jj) = zdum2**2 * ( ( pstress1_i(ji,jj) + strength(ji,jj) )**2 + ( rn_ecc * zshear )**2 ) ! quadratic relation linking compressive stress to shear stress |
---|
[8498] | 728 | !! ! (scheme converges if this value is ~1, see Bouillon et al 2009 (eq. 11)) |
---|
[8515] | 729 | zsig1(ji,jj) = 0.5_wp * zdum2 * ( pstress1_i(ji,jj) ) ! compressive stress, see Bouillon et al. 2015 |
---|
[8498] | 730 | zsig2(ji,jj) = 0.5_wp * zdum2 * ( zshear ) ! shear stress |
---|
[8515] | 731 | zsig3(ji,jj) = zdum2**2 * ( ( pstress1_i(ji,jj) + strength(ji,jj) )**2 + ( rn_ecc * zshear )**2 ) |
---|
[8498] | 732 | END DO |
---|
| 733 | END DO |
---|
| 734 | CALL lbc_lnk_multi( zsig1, 'T', 1., zsig2, 'T', 1., zsig3, 'T', 1. ) |
---|
| 735 | ! |
---|
| 736 | IF( iom_use('isig1') ) CALL iom_put( "isig1" , zsig1 ) |
---|
| 737 | IF( iom_use('isig2') ) CALL iom_put( "isig2" , zsig2 ) |
---|
| 738 | IF( iom_use('isig3') ) CALL iom_put( "isig3" , zsig3 ) |
---|
| 739 | ! |
---|
[8500] | 740 | DEALLOCATE( zsig1 , zsig2 , zsig3 ) |
---|
[8498] | 741 | ENDIF |
---|
| 742 | |
---|
| 743 | ! --- SIMIP --- ! |
---|
| 744 | IF ( iom_use( 'normstr' ) .OR. iom_use( 'sheastr' ) .OR. iom_use( 'dssh_dx' ) .OR. iom_use( 'dssh_dy' ) .OR. & |
---|
| 745 | & iom_use( 'corstrx' ) .OR. iom_use( 'corstry' ) .OR. iom_use( 'intstrx' ) .OR. iom_use( 'intstry' ) .OR. & |
---|
| 746 | & iom_use( 'utau_oi' ) .OR. iom_use( 'vtau_oi' ) .OR. iom_use( 'xmtrpice' ) .OR. iom_use( 'ymtrpice' ) .OR. & |
---|
| 747 | & iom_use( 'xmtrpsnw' ) .OR. iom_use( 'ymtrpsnw' ) .OR. iom_use( 'xatrp' ) .OR. iom_use( 'yatrp' ) ) THEN |
---|
[8407] | 748 | |
---|
[8498] | 749 | ALLOCATE( zdiag_sig1 (jpi,jpj) , zdiag_sig2 (jpi,jpj) , zdiag_dssh_dx (jpi,jpj) , zdiag_dssh_dy (jpi,jpj) , & |
---|
| 750 | & zdiag_corstrx (jpi,jpj) , zdiag_corstry (jpi,jpj) , zdiag_intstrx (jpi,jpj) , zdiag_intstry (jpi,jpj) , & |
---|
| 751 | & zdiag_utau_oi (jpi,jpj) , zdiag_vtau_oi (jpi,jpj) , zdiag_xmtrp_ice(jpi,jpj) , zdiag_ymtrp_ice(jpi,jpj) , & |
---|
| 752 | & zdiag_xmtrp_snw(jpi,jpj) , zdiag_ymtrp_snw(jpi,jpj) , zdiag_xatrp (jpi,jpj) , zdiag_yatrp (jpi,jpj) ) |
---|
| 753 | |
---|
| 754 | DO jj = 2, jpjm1 |
---|
| 755 | DO ji = 2, jpim1 |
---|
| 756 | rswitch = MAX( 0._wp , SIGN( 1._wp , at_i(ji,jj) - epsi06 ) ) ! 1 if ice, 0 if no ice |
---|
| 757 | |
---|
| 758 | ! Stress tensor invariants (normal and shear stress N/m) |
---|
| 759 | zdiag_sig1(ji,jj) = ( zs1(ji,jj) + zs2(ji,jj) ) * rswitch ! normal stress |
---|
| 760 | zdiag_sig2(ji,jj) = SQRT( ( zs1(ji,jj) - zs2(ji,jj) )**2 + 4*zs12(ji,jj)**2 ) * rswitch ! shear stress |
---|
| 761 | |
---|
| 762 | ! Stress terms of the momentum equation (N/m2) |
---|
| 763 | zdiag_dssh_dx(ji,jj) = zspgU(ji,jj) * rswitch ! sea surface slope stress term |
---|
| 764 | zdiag_dssh_dy(ji,jj) = zspgV(ji,jj) * rswitch |
---|
| 765 | |
---|
| 766 | zdiag_corstrx(ji,jj) = zCorx(ji,jj) * rswitch ! Coriolis stress term |
---|
| 767 | zdiag_corstry(ji,jj) = zCory(ji,jj) * rswitch |
---|
| 768 | |
---|
| 769 | zdiag_intstrx(ji,jj) = zfU(ji,jj) * rswitch ! internal stress term |
---|
| 770 | zdiag_intstry(ji,jj) = zfV(ji,jj) * rswitch |
---|
| 771 | |
---|
| 772 | zdiag_utau_oi(ji,jj) = ztaux_oi(ji,jj) * rswitch ! oceanic stress |
---|
| 773 | zdiag_vtau_oi(ji,jj) = ztauy_oi(ji,jj) * rswitch |
---|
| 774 | |
---|
| 775 | ! 2D ice mass, snow mass, area transport arrays (X, Y) |
---|
[8515] | 776 | zfac_x = 0.5 * pu_ice(ji,jj) * e2u(ji,jj) * rswitch |
---|
| 777 | zfac_y = 0.5 * pv_ice(ji,jj) * e1v(ji,jj) * rswitch |
---|
[8498] | 778 | |
---|
| 779 | zdiag_xmtrp_ice(ji,jj) = rhoic * zfac_x * ( vt_i(ji+1,jj) + vt_i(ji,jj) ) ! ice mass transport, X-component |
---|
| 780 | zdiag_ymtrp_ice(ji,jj) = rhoic * zfac_y * ( vt_i(ji,jj+1) + vt_i(ji,jj) ) ! '' Y- '' |
---|
| 781 | |
---|
| 782 | zdiag_xmtrp_snw(ji,jj) = rhosn * zfac_x * ( vt_s(ji+1,jj) + vt_s(ji,jj) ) ! snow mass transport, X-component |
---|
| 783 | zdiag_ymtrp_snw(ji,jj) = rhosn * zfac_y * ( vt_s(ji,jj+1) + vt_s(ji,jj) ) ! '' Y- '' |
---|
| 784 | |
---|
| 785 | zdiag_xatrp(ji,jj) = zfac_x * ( at_i(ji+1,jj) + at_i(ji,jj) ) ! area transport, X-component |
---|
| 786 | zdiag_yatrp(ji,jj) = zfac_y * ( at_i(ji,jj+1) + at_i(ji,jj) ) ! '' Y- '' |
---|
| 787 | |
---|
| 788 | END DO |
---|
[8407] | 789 | END DO |
---|
[8498] | 790 | |
---|
| 791 | CALL lbc_lnk_multi( zdiag_sig1 , 'T', 1., zdiag_sig2 , 'T', 1., & |
---|
| 792 | & zdiag_dssh_dx, 'U', -1., zdiag_dssh_dy, 'V', -1., & |
---|
| 793 | & zdiag_corstrx, 'U', -1., zdiag_corstry, 'V', -1., & |
---|
| 794 | & zdiag_intstrx, 'U', -1., zdiag_intstry, 'V', -1. ) |
---|
| 795 | |
---|
| 796 | CALL lbc_lnk_multi( zdiag_utau_oi, 'U', -1., zdiag_vtau_oi, 'V', -1. ) |
---|
| 797 | |
---|
| 798 | CALL lbc_lnk_multi( zdiag_xmtrp_ice, 'U', -1., zdiag_xmtrp_snw, 'U', -1., & |
---|
| 799 | & zdiag_xatrp , 'U', -1., zdiag_ymtrp_ice, 'V', -1., & |
---|
| 800 | & zdiag_ymtrp_snw, 'V', -1., zdiag_yatrp , 'V', -1. ) |
---|
| 801 | |
---|
| 802 | IF ( iom_use( 'normstr' ) ) CALL iom_put( 'normstr' , zdiag_sig1(:,:) ) ! Normal stress |
---|
| 803 | IF ( iom_use( 'sheastr' ) ) CALL iom_put( 'sheastr' , zdiag_sig2(:,:) ) ! Shear stress |
---|
| 804 | IF ( iom_use( 'dssh_dx' ) ) CALL iom_put( 'dssh_dx' , zdiag_dssh_dx(:,:) ) ! Sea-surface tilt term in force balance (x) |
---|
| 805 | IF ( iom_use( 'dssh_dy' ) ) CALL iom_put( 'dssh_dy' , zdiag_dssh_dy(:,:) ) ! Sea-surface tilt term in force balance (y) |
---|
| 806 | IF ( iom_use( 'corstrx' ) ) CALL iom_put( 'corstrx' , zdiag_corstrx(:,:) ) ! Coriolis force term in force balance (x) |
---|
| 807 | IF ( iom_use( 'corstry' ) ) CALL iom_put( 'corstry' , zdiag_corstry(:,:) ) ! Coriolis force term in force balance (y) |
---|
| 808 | IF ( iom_use( 'intstrx' ) ) CALL iom_put( 'intstrx' , zdiag_intstrx(:,:) ) ! Internal force term in force balance (x) |
---|
| 809 | IF ( iom_use( 'intstry' ) ) CALL iom_put( 'intstry' , zdiag_intstry(:,:) ) ! Internal force term in force balance (y) |
---|
| 810 | IF ( iom_use( 'utau_oi' ) ) CALL iom_put( 'utau_oi' , zdiag_utau_oi(:,:) ) ! Ocean stress term in force balance (x) |
---|
| 811 | IF ( iom_use( 'vtau_oi' ) ) CALL iom_put( 'vtau_oi' , zdiag_vtau_oi(:,:) ) ! Ocean stress term in force balance (y) |
---|
| 812 | IF ( iom_use( 'xmtrpice' ) ) CALL iom_put( 'xmtrpice' , zdiag_xmtrp_ice(:,:) ) ! X-component of sea-ice mass transport (kg/s) |
---|
| 813 | IF ( iom_use( 'ymtrpice' ) ) CALL iom_put( 'ymtrpice' , zdiag_ymtrp_ice(:,:) ) ! Y-component of sea-ice mass transport |
---|
| 814 | IF ( iom_use( 'xmtrpsnw' ) ) CALL iom_put( 'xmtrpsnw' , zdiag_xmtrp_snw(:,:) ) ! X-component of snow mass transport (kg/s) |
---|
| 815 | IF ( iom_use( 'ymtrpsnw' ) ) CALL iom_put( 'ymtrpsnw' , zdiag_ymtrp_snw(:,:) ) ! Y-component of snow mass transport |
---|
| 816 | IF ( iom_use( 'xatrp' ) ) CALL iom_put( 'xatrp' , zdiag_xatrp(:,:) ) ! X-component of ice area transport |
---|
| 817 | IF ( iom_use( 'yatrp' ) ) CALL iom_put( 'yatrp' , zdiag_yatrp(:,:) ) ! Y-component of ice area transport |
---|
[8407] | 818 | |
---|
[8498] | 819 | DEALLOCATE( zdiag_sig1 , zdiag_sig2 , zdiag_dssh_dx , zdiag_dssh_dy , & |
---|
| 820 | & zdiag_corstrx , zdiag_corstry , zdiag_intstrx , zdiag_intstry , & |
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| 821 | & zdiag_utau_oi , zdiag_vtau_oi , zdiag_xmtrp_ice , zdiag_ymtrp_ice , & |
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| 822 | & zdiag_xmtrp_snw , zdiag_ymtrp_snw , zdiag_xatrp , zdiag_yatrp ) |
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[8407] | 823 | |
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| 824 | ENDIF |
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| 825 | ! |
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| 826 | END SUBROUTINE ice_rhg_evp |
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| 827 | |
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[8518] | 828 | SUBROUTINE rhg_evp_rst( cdrw, kt ) |
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| 829 | !!--------------------------------------------------------------------- |
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| 830 | !! *** ROUTINE rhg_evp_rst *** |
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| 831 | !! |
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| 832 | !! ** Purpose : Read or write RHG file in restart file |
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| 833 | !! |
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| 834 | !! ** Method : use of IOM library |
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| 835 | !!---------------------------------------------------------------------- |
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| 836 | CHARACTER(len=*) , INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
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| 837 | INTEGER, OPTIONAL, INTENT(in) :: kt ! ice time-step |
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| 838 | ! |
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| 839 | INTEGER :: iter ! local integer |
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| 840 | INTEGER :: id1, id2, id3 ! local integers |
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| 841 | !!---------------------------------------------------------------------- |
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| 842 | ! |
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| 843 | IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialize |
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| 844 | ! ! --------------- |
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| 845 | IF( ln_rstart ) THEN !* Read the restart file |
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| 846 | ! |
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| 847 | id1 = iom_varid( numrir, 'stress1_i' , ldstop = .FALSE. ) |
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| 848 | id2 = iom_varid( numrir, 'stress2_i' , ldstop = .FALSE. ) |
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| 849 | id3 = iom_varid( numrir, 'stress12_i', ldstop = .FALSE. ) |
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| 850 | ! |
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| 851 | IF( MIN( id1, id2, id3 ) > 0 ) THEN ! fields exist |
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| 852 | CALL iom_get( numrir, jpdom_autoglo, 'stress1_i' , stress1_i ) |
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| 853 | CALL iom_get( numrir, jpdom_autoglo, 'stress2_i' , stress2_i ) |
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| 854 | CALL iom_get( numrir, jpdom_autoglo, 'stress12_i', stress12_i ) |
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| 855 | ELSE ! start rheology from rest |
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| 856 | IF(lwp) WRITE(numout,*) ' ==>> previous run without rheology, set stresses to 0' |
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| 857 | stress1_i (:,:) = 0._wp |
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| 858 | stress2_i (:,:) = 0._wp |
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| 859 | stress12_i(:,:) = 0._wp |
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| 860 | ENDIF |
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| 861 | ELSE !* Start from rest |
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| 862 | IF(lwp) WRITE(numout,*) ' ==>> start from rest: set stresses to 0' |
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| 863 | stress1_i (:,:) = 0._wp |
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| 864 | stress2_i (:,:) = 0._wp |
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| 865 | stress12_i(:,:) = 0._wp |
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| 866 | ENDIF |
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| 867 | ! |
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| 868 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file |
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| 869 | ! ! ------------------- |
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| 870 | IF(lwp) WRITE(numout,*) '---- rhg-rst ----' |
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| 871 | iter = kt + nn_fsbc - 1 ! ice restarts are written at kt == nitrst - nn_fsbc + 1 |
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| 872 | ! |
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| 873 | CALL iom_rstput( iter, nitrst, numriw, 'stress1_i' , stress1_i ) |
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| 874 | CALL iom_rstput( iter, nitrst, numriw, 'stress2_i' , stress2_i ) |
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| 875 | CALL iom_rstput( iter, nitrst, numriw, 'stress12_i', stress12_i ) |
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| 876 | ! |
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| 877 | ENDIF |
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| 878 | ! |
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| 879 | END SUBROUTINE rhg_evp_rst |
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| 880 | |
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[8486] | 881 | #else |
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| 882 | !!---------------------------------------------------------------------- |
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| 883 | !! Default option Empty module NO LIM-3 sea-ice model |
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| 884 | !!---------------------------------------------------------------------- |
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[8407] | 885 | #endif |
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| 886 | |
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| 887 | !!============================================================================== |
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| 888 | END MODULE icerhg_evp |
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