[3] | 1 | MODULE limrhg |
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| 2 | #if defined key_ice_lim |
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| 3 | !!====================================================================== |
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| 4 | !! *** MODULE limrhg *** |
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| 5 | !! Ice rheology : performs sea ice rheology |
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| 6 | !!====================================================================== |
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| 7 | |
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| 8 | !!---------------------------------------------------------------------- |
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| 9 | !! lim_rhg : computes ice velocities |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! * Modules used |
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| 12 | USE phycst |
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| 13 | USE ice_oce ! ice variables |
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| 14 | USE dom_ice |
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| 15 | USE ice |
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| 16 | USE lbclnk |
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| 17 | USE in_out_manager ! I/O manager |
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| 18 | |
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| 19 | IMPLICIT NONE |
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| 20 | PRIVATE |
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| 21 | |
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| 22 | !! * Routine accessibility |
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| 23 | PUBLIC lim_rhg ! routine called by lim_dyn |
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| 24 | |
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| 25 | !! * Module variables |
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| 26 | REAL(wp) :: & ! constant values |
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| 27 | rzero = 0.e0 , & |
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| 28 | rone = 1.e0 |
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| 29 | !!---------------------------------------------------------------------- |
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| 30 | !! LIM 2.0 , UCL-LODYC-IPSL (2003) |
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| 31 | !!---------------------------------------------------------------------- |
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| 32 | |
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| 33 | CONTAINS |
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| 34 | |
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| 35 | SUBROUTINE lim_rhg( khemi ) |
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| 36 | !!------------------------------------------------------------------- |
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[12] | 37 | !! *** SUBROUTINR lim_rhg *** |
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| 38 | !! ** purpose : determines the velocity field of sea ice by using |
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| 39 | !! atmospheric (wind stress) and oceanic (water stress and surface |
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| 40 | !! tilt) forcings. Ice-ice interaction is described by a non-linear |
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| 41 | !! viscous-plastic law including shear strength and a bulk rheology. |
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[3] | 42 | !! |
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| 43 | !! ** Action : - compute u_ice, v_ice the sea-ice velocity |
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| 44 | !! |
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| 45 | !! History : |
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| 46 | !! 0.0 ! 93-12 (M.A. Morales Maqueda.) Original code |
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| 47 | !! 1.0 ! 94-12 (H. Goosse) |
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| 48 | !! 2.0 ! 03-12 (C. Ethe, G. Madec) F90, mpp |
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| 49 | !!------------------------------------------------------------------- |
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| 50 | ! * Arguments |
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| 51 | INTEGER, INTENT(in) :: khemi ! -1/1 = South/North hemisphere flag |
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| 52 | |
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| 53 | ! * Local variables |
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[12] | 54 | INTEGER :: ji, jj ! dummy loop indices |
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[3] | 55 | |
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[12] | 56 | INTEGER :: & |
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| 57 | i_j1, i_j2, i_jpj, i_jpjm1, & ! ???? |
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| 58 | iim1, ijm1, iip1 , ijp1 , & ! temporary integers |
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| 59 | iter, jter ! " " |
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| 60 | |
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| 61 | REAL(wp) :: & |
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| 62 | ze11 , ze12 , ze22 , ze21 , & ! temporary scalars |
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| 63 | zt11 , zt12 , zt21 , zt22 , & ! " " |
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| 64 | zvis11, zvis21, zvis12, zvis22, & ! " " |
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| 65 | zgphsx, ztagnx, zusw , & ! " " |
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| 66 | zgphsy, ztagny ! " " |
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| 67 | REAL(wp) :: & |
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| 68 | zresm, zunw, zvnw, zur, zvr, zmod, za, zac, & |
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| 69 | zmpzas, zstms, zindu, zindu1, zusdtp, zmassdt, zcorlal, & |
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| 70 | ztrace2, zdeter, zdelta, zsang, zmask, zdgp, zdgi, zdiag |
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| 71 | REAL(wp),DIMENSION(jpj) :: & |
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| 72 | zind ! i-averaged indicator of sea-ice |
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[3] | 73 | REAL(wp),DIMENSION(jpi,jpj) :: & |
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| 74 | zpresh, zfrld, zmass, zcorl, & |
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| 75 | zu0, zv0, zviszeta, zviseta, & |
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| 76 | zc1u, zc1v, zc2u, zc2v, za1ct, za2ct, za1, za2, zb1, zb2, & |
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| 77 | zc1, zc2, zd1, zd2, zden, zu_ice, zv_ice, zresr |
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| 78 | REAL(wp),DIMENSION(jpi,jpj,2,2) :: & |
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| 79 | zsigm11, zsigm12, zsigm22, zsigm21 |
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| 80 | !!------------------------------------------------------------------- |
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| 81 | |
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[12] | 82 | ! Store initial velocities. |
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| 83 | zu0(:,:) = u_ice(:,:) |
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| 84 | zv0(:,:) = v_ice(:,:) |
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[3] | 85 | |
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| 86 | ! Numerical characteristics. |
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| 87 | ! -------------------------- |
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| 88 | |
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[12] | 89 | ! Define the j-limits where ice dynamics is computed |
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| 90 | ! --------------------------------------------------- |
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[3] | 91 | |
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[12] | 92 | DO jj = 1, jpj |
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| 93 | zind(jj) = SUM( frld(:,jj) ) ! = FLOAT(jpj) if ocean everwhere on a j-line |
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| 94 | END DO |
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[3] | 95 | |
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| 96 | IF( khemi == 1 ) THEN ! Northern hemisphere |
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[12] | 97 | i_j1 = jeq |
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| 98 | i_jpj = jpj |
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| 99 | DO jj = jpj, jeq, -1 |
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| 100 | IF( zind(jj) < FLOAT(jpi) ) i_j1 = jj |
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| 101 | END DO |
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| 102 | i_j1 = MAX( 1, i_j1-1) |
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| 103 | IF( l_ctl .AND. lwp ) WRITE(numout,*) 'lim_rhg : NH i_j1 = ', i_j1, ' ij_pj = ', i_jpj |
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[3] | 104 | ELSE ! Southern hemisphere |
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[12] | 105 | i_j1 = 2 |
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| 106 | i_jpj = jpj |
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| 107 | DO jj = 1, jeq |
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| 108 | IF( zind(jj) < FLOAT(jpi) ) i_jpj = jj |
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| 109 | END DO |
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| 110 | i_jpj = MIN( jpj, i_jpj+2) |
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| 111 | IF( l_ctl .AND. lwp ) WRITE(numout,*) 'lim_rhg : SH i_j1 = ', i_j1, ' ij_pj = ', i_jpj |
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[3] | 112 | ENDIF |
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[12] | 113 | i_j2 = i_j1 + 1 ! inner domain indices |
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[3] | 114 | i_jpjm1 = i_jpj - 1 |
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| 115 | |
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[12] | 116 | |
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[3] | 117 | ! 2) Sign of turning angle for oceanic drag. | |
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| 118 | !----------------------------------------------------------------------- |
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| 119 | |
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| 120 | zsang = REAL( khemi ) * sangvg ! only the sinus changes its sign with the hemisphere |
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| 121 | |
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| 122 | |
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| 123 | ! 3) Ice mass, ice strength, and wind stress at the center | |
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| 124 | ! of the grid squares. | |
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| 125 | !----------------------------------------------------------------------- |
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| 126 | |
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[12] | 127 | DO jj = i_j1 , i_jpjm1 |
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[3] | 128 | DO ji = 1 , jpi |
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| 129 | za1(ji,jj) = tms(ji,jj) * ( rhosn * hsnm(ji,jj) + rhoic * hicm(ji,jj) ) |
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| 130 | zpresh(ji,jj) = tms(ji,jj) * pstarh * hicm(ji,jj) * EXP( -c_rhg * frld(ji,jj) ) |
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| 131 | #if defined key_lim_cp1 && defined key_coupled |
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| 132 | zb1(ji,jj) = tms(ji,jj) * gtaux(ji,jj) * ( 1.0 - frld(ji,jj) ) |
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| 133 | zb2(ji,jj) = tms(ji,jj) * gtauy(ji,jj) * ( 1.0 - frld(ji,jj) ) |
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| 134 | #else |
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| 135 | zb1(ji,jj) = tms(ji,jj) * ( 1.0 - frld(ji,jj) ) |
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| 136 | zb2(ji,jj) = tms(ji,jj) * ( 1.0 - frld(ji,jj) ) |
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| 137 | #endif |
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| 138 | END DO |
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| 139 | END DO |
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| 140 | |
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| 141 | |
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| 142 | !--------------------------------------------------------------------------- |
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| 143 | ! Wind stress, coriolis and mass terms at the corners of the grid squares | |
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| 144 | ! Gradient of ice strenght. | |
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| 145 | !--------------------------------------------------------------------------- |
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| 146 | |
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[12] | 147 | DO jj = i_j2, i_jpjm1 |
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[3] | 148 | DO ji = 2, jpi |
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| 149 | zstms = tms(ji,jj ) * wght(ji,jj,2,2) + tms(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 150 | & + tms(ji,jj-1) * wght(ji,jj,2,1) + tms(ji-1,jj-1) * wght(ji,jj,1,1) |
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| 151 | zusw = 1.0 / MAX( zstms, epsd ) |
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| 152 | |
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| 153 | zt11 = tms(ji ,jj ) * frld(ji ,jj ) |
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| 154 | zt12 = tms(ji-1,jj ) * frld(ji-1,jj ) |
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| 155 | zt21 = tms(ji ,jj-1) * frld(ji ,jj-1) |
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| 156 | zt22 = tms(ji-1,jj-1) * frld(ji-1,jj-1) |
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| 157 | |
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| 158 | ! Leads area. |
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| 159 | zfrld(ji,jj) = ( zt11 * wght(ji,jj,2,2) + zt12 * wght(ji,jj,1,2) & |
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| 160 | & + zt21 * wght(ji,jj,2,1) + zt22 * wght(ji,jj,1,1) ) * zusw |
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| 161 | |
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| 162 | ! Mass and coriolis coeff. |
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| 163 | zmass(ji,jj) = ( za1(ji,jj ) * wght(ji,jj,2,2) + za1(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 164 | & + za1(ji,jj-1) * wght(ji,jj,2,1) + za1(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw |
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| 165 | zcorl(ji,jj) = zmass(ji,jj) * fcor(ji,jj) |
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| 166 | |
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| 167 | ! Wind stress. |
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| 168 | #if defined key_lim_cp1 && defined key_coupled |
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| 169 | ztagnx = ( zb1(ji,jj ) * wght(ji,jj,2,2) + zb1(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 170 | & + zb1(ji,jj-1) * wght(ji,jj,2,1) + zb1(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw |
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| 171 | ztagny = ( zb2(ji,jj ) * wght(ji,jj,2,2) + zb2(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 172 | & + zb2(ji,jj-1) * wght(ji,jj,2,1) + zb2(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw |
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| 173 | #else |
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| 174 | ztagnx = ( zb1(ji,jj ) * wght(ji,jj,2,2) + zb1(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 175 | & + zb1(ji,jj-1) * wght(ji,jj,2,1) + zb1(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw * gtaux(ji,jj) |
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| 176 | ztagny = ( zb2(ji,jj ) * wght(ji,jj,2,2) + zb2(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 177 | & + zb2(ji,jj-1) * wght(ji,jj,2,1) + zb2(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw * gtauy(ji,jj) |
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| 178 | #endif |
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| 179 | |
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| 180 | ! Gradient of ice strength |
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| 181 | zgphsx = ( alambd(ji,jj,2,2,2,1) - alambd(ji,jj,2,1,2,1) ) * zpresh(ji ,jj-1) & |
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| 182 | & + ( alambd(ji,jj,2,2,2,2) - alambd(ji,jj,2,1,2,2) ) * zpresh(ji ,jj ) & |
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| 183 | & - ( alambd(ji,jj,2,2,1,1) + alambd(ji,jj,2,1,1,1) ) * zpresh(ji-1,jj-1) & |
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| 184 | & - ( alambd(ji,jj,2,2,1,2) + alambd(ji,jj,2,1,1,2) ) * zpresh(ji-1,jj ) |
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| 185 | |
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| 186 | zgphsy = - ( alambd(ji,jj,1,1,2,1) + alambd(ji,jj,1,2,2,1) ) * zpresh(ji ,jj-1) & |
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| 187 | & - ( alambd(ji,jj,1,1,1,1) + alambd(ji,jj,1,2,1,1) ) * zpresh(ji-1,jj-1) & |
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| 188 | & + ( alambd(ji,jj,1,1,2,2) - alambd(ji,jj,1,2,2,2) ) * zpresh(ji ,jj ) & |
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| 189 | & + ( alambd(ji,jj,1,1,1,2) - alambd(ji,jj,1,2,1,2) ) * zpresh(ji-1,jj ) |
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| 190 | |
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| 191 | ! Computation of the velocity field taking into account the ice-ice interaction. |
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| 192 | ! Terms that are independent of the velocity field. |
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| 193 | za1ct(ji,jj) = ztagnx - zcorl(ji,jj) * v_oce(ji,jj) - zgphsx |
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| 194 | za2ct(ji,jj) = ztagny + zcorl(ji,jj) * u_oce(ji,jj) - zgphsy |
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| 195 | END DO |
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| 196 | END DO |
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| 197 | |
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| 198 | !! inutile!! |
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| 199 | !!?? CALL lbc_lnk( za1ct, 'I', -1. ) |
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| 200 | !!?? CALL lbc_lnk( za2ct, 'I', -1. ) |
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| 201 | |
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| 202 | |
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| 203 | ! SOLUTION OF THE MOMENTUM EQUATION. |
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| 204 | !------------------------------------------ |
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| 205 | ! ! ==================== ! |
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| 206 | DO iter = 1 , 2 * nbiter ! loop over iter ! |
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| 207 | ! ! ==================== ! |
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| 208 | zindu = MOD( iter , 2 ) |
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| 209 | zusdtp = ( zindu * 2.0 + ( 1.0 - zindu ) * 1.0 ) * REAL( nbiter ) / rdt_ice |
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| 210 | |
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| 211 | ! Computation of free drift field for free slip boundary conditions. |
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| 212 | |
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[12] | 213 | DO jj = i_j1, i_jpjm1 |
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[3] | 214 | DO ji = 1, jpim1 |
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| 215 | !- Rate of strain tensor. |
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| 216 | zt11 = akappa(ji,jj,1,1) * ( u_ice(ji+1,jj) + u_ice(ji+1,jj+1) - u_ice(ji,jj ) - u_ice(ji ,jj+1) ) & |
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| 217 | & + akappa(ji,jj,1,2) * ( v_ice(ji+1,jj) + v_ice(ji+1,jj+1) + v_ice(ji,jj ) + v_ice(ji ,jj+1) ) |
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| 218 | zt12 = - akappa(ji,jj,2,2) * ( u_ice(ji ,jj) + u_ice(ji+1,jj ) - u_ice(ji,jj+1) - u_ice(ji+1,jj+1) ) & |
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| 219 | & - akappa(ji,jj,2,1) * ( v_ice(ji ,jj) + v_ice(ji+1,jj ) + v_ice(ji,jj+1) + v_ice(ji+1,jj+1) ) |
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| 220 | zt22 = - akappa(ji,jj,2,2) * ( v_ice(ji ,jj) + v_ice(ji+1,jj ) - v_ice(ji,jj+1) - v_ice(ji+1,jj+1) ) & |
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| 221 | & + akappa(ji,jj,2,1) * ( u_ice(ji ,jj) + u_ice(ji+1,jj ) + u_ice(ji,jj+1) + u_ice(ji+1,jj+1) ) |
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| 222 | zt21 = akappa(ji,jj,1,1) * ( v_ice(ji+1,jj) + v_ice(ji+1,jj+1) - v_ice(ji,jj ) - v_ice(ji ,jj+1) ) & |
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| 223 | & - akappa(ji,jj,1,2) * ( u_ice(ji+1,jj) + u_ice(ji+1,jj+1) + u_ice(ji,jj ) + u_ice(ji ,jj+1) ) |
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| 224 | |
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| 225 | !- Rate of strain tensor. |
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| 226 | zdgp = zt11 + zt22 |
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| 227 | zdgi = zt12 + zt21 |
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| 228 | ztrace2 = zdgp * zdgp |
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| 229 | zdeter = zt11 * zt22 - 0.25 * zdgi * zdgi |
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| 230 | |
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| 231 | ! Creep limit depends on the size of the grid. |
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| 232 | zdelta = MAX( SQRT( ztrace2 + ( ztrace2 - 4.0 * zdeter ) * usecc2), creepl) |
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| 233 | |
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| 234 | !- Computation of viscosities. |
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| 235 | zviszeta(ji,jj) = MAX( zpresh(ji,jj) / zdelta, etamn ) |
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| 236 | zviseta (ji,jj) = zviszeta(ji,jj) * usecc2 |
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| 237 | END DO |
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| 238 | END DO |
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| 239 | !!?? CALL lbc_lnk( zviszeta, 'I', -1. ) ! or T point??? semble reellement inutile |
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| 240 | !!?? CALL lbc_lnk( zviseta , 'I', -1. ) |
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| 241 | |
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| 242 | |
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| 243 | !- Determination of zc1u, zc2u, zc1v and zc2v. |
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[12] | 244 | DO jj = i_j2, i_jpjm1 |
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[3] | 245 | DO ji = 2, jpim1 |
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| 246 | ze11 = akappa(ji-1,jj-1,1,1) |
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| 247 | ze12 = +akappa(ji-1,jj-1,2,2) |
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| 248 | ze22 = akappa(ji-1,jj-1,2,1) |
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| 249 | ze21 = -akappa(ji-1,jj-1,1,2) |
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| 250 | zvis11 = 2.0 * zviseta (ji-1,jj-1) + dm |
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| 251 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
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| 252 | zvis12 = zviseta (ji-1,jj-1) + dm |
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| 253 | zvis21 = zviseta (ji-1,jj-1) |
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| 254 | |
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| 255 | zdiag = zvis22 * ( ze11 + ze22 ) |
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| 256 | zsigm11(ji,jj,1,1) = zvis11 * ze11 + zdiag |
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| 257 | zsigm12(ji,jj,1,1) = zvis12 * ze12 + zvis21 * ze21 |
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| 258 | zsigm22(ji,jj,1,1) = zvis11 * ze22 + zdiag |
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| 259 | zsigm21(ji,jj,1,1) = zvis12 * ze21 + zvis21 * ze12 |
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| 260 | |
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| 261 | ze11 = -akappa(ji,jj-1,1,1) |
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| 262 | ze12 = +akappa(ji,jj-1,2,2) |
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| 263 | ze22 = akappa(ji,jj-1,2,1) |
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| 264 | ze21 = -akappa(ji,jj-1,1,2) |
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| 265 | zvis11 = 2.0 * zviseta (ji,jj-1) + dm |
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| 266 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
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| 267 | zvis12 = zviseta (ji,jj-1) + dm |
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| 268 | zvis21 = zviseta (ji,jj-1) |
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| 269 | |
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| 270 | zdiag = zvis22 * ( ze11 + ze22 ) |
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| 271 | zsigm11(ji,jj,2,1) = zvis11 * ze11 + zdiag |
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| 272 | zsigm12(ji,jj,2,1) = zvis12 * ze12 + zvis21 * ze21 |
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| 273 | zsigm22(ji,jj,2,1) = zvis11 * ze22 + zdiag |
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| 274 | zsigm21(ji,jj,2,1) = zvis12 * ze21 + zvis21 * ze12 |
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| 275 | |
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| 276 | ze11 = akappa(ji-1,jj,1,1) |
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| 277 | ze12 = -akappa(ji-1,jj,2,2) |
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| 278 | ze22 = akappa(ji-1,jj,2,1) |
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| 279 | ze21 = -akappa(ji-1,jj,1,2) |
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| 280 | zvis11 = 2.0 * zviseta (ji-1,jj) + dm |
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| 281 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
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| 282 | zvis12 = zviseta (ji-1,jj) + dm |
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| 283 | zvis21 = zviseta (ji-1,jj) |
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| 284 | |
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| 285 | zdiag = zvis22 * ( ze11 + ze22 ) |
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| 286 | zsigm11(ji,jj,1,2) = zvis11 * ze11 + zdiag |
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| 287 | zsigm12(ji,jj,1,2) = zvis12 * ze12 + zvis21 * ze21 |
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| 288 | zsigm22(ji,jj,1,2) = zvis11 * ze22 + zdiag |
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| 289 | zsigm21(ji,jj,1,2) = zvis12 * ze21 + zvis21 * ze12 |
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| 290 | |
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| 291 | ze11 = -akappa(ji,jj,1,1) |
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| 292 | ze12 = -akappa(ji,jj,2,2) |
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| 293 | ze22 = akappa(ji,jj,2,1) |
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| 294 | ze21 = -akappa(ji,jj,1,2) |
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| 295 | zvis11 = 2.0 * zviseta (ji,jj) + dm |
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| 296 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
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| 297 | zvis12 = zviseta (ji,jj) + dm |
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| 298 | zvis21 = zviseta (ji,jj) |
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| 299 | |
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| 300 | zdiag = zvis22 * ( ze11 + ze22 ) |
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| 301 | zsigm11(ji,jj,2,2) = zvis11 * ze11 + zdiag |
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| 302 | zsigm12(ji,jj,2,2) = zvis12 * ze12 + zvis21 * ze21 |
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| 303 | zsigm22(ji,jj,2,2) = zvis11 * ze22 + zdiag |
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| 304 | zsigm21(ji,jj,2,2) = zvis12 * ze21 + zvis21 * ze12 |
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| 305 | END DO |
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| 306 | END DO |
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| 307 | |
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[12] | 308 | DO jj = i_j2, i_jpjm1 |
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[3] | 309 | DO ji = 2, jpim1 |
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| 310 | zc1u(ji,jj) = alambd(ji,jj,2,2,2,1) * zsigm11(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zsigm11(ji,jj,2,2) & |
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| 311 | & - alambd(ji,jj,2,2,1,1) * zsigm11(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zsigm11(ji,jj,1,2) & |
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| 312 | & - alambd(ji,jj,1,1,2,1) * zsigm12(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zsigm12(ji,jj,1,1) & |
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| 313 | & + alambd(ji,jj,1,1,2,2) * zsigm12(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zsigm12(ji,jj,1,2) & |
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| 314 | & + alambd(ji,jj,1,2,1,1) * zsigm21(ji,jj,1,1) + alambd(ji,jj,1,2,2,1) * zsigm21(ji,jj,2,1) & |
---|
| 315 | & + alambd(ji,jj,1,2,1,2) * zsigm21(ji,jj,1,2) + alambd(ji,jj,1,2,2,2) * zsigm21(ji,jj,2,2) & |
---|
| 316 | & - alambd(ji,jj,2,1,1,1) * zsigm22(ji,jj,1,1) - alambd(ji,jj,2,1,2,1) * zsigm22(ji,jj,2,1) & |
---|
| 317 | & - alambd(ji,jj,2,1,1,2) * zsigm22(ji,jj,1,2) - alambd(ji,jj,2,1,2,2) * zsigm22(ji,jj,2,2) |
---|
| 318 | |
---|
| 319 | zc2u(ji,jj) = alambd(ji,jj,2,2,2,1) * zsigm21(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zsigm21(ji,jj,2,2) & |
---|
| 320 | & - alambd(ji,jj,2,2,1,1) * zsigm21(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zsigm21(ji,jj,1,2) & |
---|
| 321 | & - alambd(ji,jj,1,1,2,1) * zsigm22(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zsigm22(ji,jj,1,1) & |
---|
| 322 | & + alambd(ji,jj,1,1,2,2) * zsigm22(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zsigm22(ji,jj,1,2) & |
---|
| 323 | & - alambd(ji,jj,1,2,1,1) * zsigm11(ji,jj,1,1) - alambd(ji,jj,1,2,2,1) * zsigm11(ji,jj,2,1) & |
---|
| 324 | & - alambd(ji,jj,1,2,1,2) * zsigm11(ji,jj,1,2) - alambd(ji,jj,1,2,2,2) * zsigm11(ji,jj,2,2) & |
---|
| 325 | & + alambd(ji,jj,2,1,1,1) * zsigm12(ji,jj,1,1) + alambd(ji,jj,2,1,2,1) * zsigm12(ji,jj,2,1) & |
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| 326 | & + alambd(ji,jj,2,1,1,2) * zsigm12(ji,jj,1,2) + alambd(ji,jj,2,1,2,2) * zsigm12(ji,jj,2,2) |
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| 327 | END DO |
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| 328 | END DO |
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| 329 | |
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[12] | 330 | DO jj = i_j2, i_jpjm1 |
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[3] | 331 | DO ji = 2, jpim1 |
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| 332 | ! zc1v , zc2v. |
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| 333 | ze11 = akappa(ji-1,jj-1,1,2) |
---|
| 334 | ze12 = -akappa(ji-1,jj-1,2,1) |
---|
| 335 | ze22 = +akappa(ji-1,jj-1,2,2) |
---|
| 336 | ze21 = akappa(ji-1,jj-1,1,1) |
---|
| 337 | zvis11 = 2.0 * zviseta (ji-1,jj-1) + dm |
---|
| 338 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
---|
| 339 | zvis12 = zviseta (ji-1,jj-1) + dm |
---|
| 340 | zvis21 = zviseta (ji-1,jj-1) |
---|
| 341 | |
---|
| 342 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 343 | zsigm11(ji,jj,1,1) = zvis11 * ze11 + zdiag |
---|
| 344 | zsigm12(ji,jj,1,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 345 | zsigm22(ji,jj,1,1) = zvis11 * ze22 + zdiag |
---|
| 346 | zsigm21(ji,jj,1,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
| 347 | |
---|
| 348 | ze11 = akappa(ji,jj-1,1,2) |
---|
| 349 | ze12 = -akappa(ji,jj-1,2,1) |
---|
| 350 | ze22 = +akappa(ji,jj-1,2,2) |
---|
| 351 | ze21 = -akappa(ji,jj-1,1,1) |
---|
| 352 | zvis11 = 2.0 * zviseta (ji,jj-1) + dm |
---|
| 353 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
---|
| 354 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 355 | zvis21 = zviseta (ji,jj-1) |
---|
| 356 | |
---|
| 357 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 358 | zsigm11(ji,jj,2,1) = zvis11 * ze11 + zdiag |
---|
| 359 | zsigm12(ji,jj,2,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 360 | zsigm22(ji,jj,2,1) = zvis11 * ze22 + zdiag |
---|
| 361 | zsigm21(ji,jj,2,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
| 362 | |
---|
| 363 | ze11 = akappa(ji-1,jj,1,2) |
---|
| 364 | ze12 = -akappa(ji-1,jj,2,1) |
---|
| 365 | ze22 = -akappa(ji-1,jj,2,2) |
---|
| 366 | ze21 = akappa(ji-1,jj,1,1) |
---|
| 367 | zvis11 = 2.0 * zviseta (ji-1,jj) + dm |
---|
| 368 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
---|
| 369 | zvis12 = zviseta (ji-1,jj) + dm |
---|
| 370 | zvis21 = zviseta (ji-1,jj) |
---|
| 371 | |
---|
| 372 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 373 | zsigm11(ji,jj,1,2) = zvis11 * ze11 + zdiag |
---|
| 374 | zsigm12(ji,jj,1,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 375 | zsigm22(ji,jj,1,2) = zvis11 * ze22 + zdiag |
---|
| 376 | zsigm21(ji,jj,1,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
| 377 | |
---|
| 378 | ze11 = akappa(ji,jj,1,2) |
---|
| 379 | ze12 = -akappa(ji,jj,2,1) |
---|
| 380 | ze22 = -akappa(ji,jj,2,2) |
---|
| 381 | ze21 = -akappa(ji,jj,1,1) |
---|
| 382 | zvis11 = 2.0 * zviseta (ji,jj) + dm |
---|
| 383 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
---|
| 384 | zvis12 = zviseta (ji,jj) + dm |
---|
| 385 | zvis21 = zviseta (ji,jj) |
---|
| 386 | |
---|
| 387 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 388 | zsigm11(ji,jj,2,2) = zvis11 * ze11 + zdiag |
---|
| 389 | zsigm12(ji,jj,2,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 390 | zsigm22(ji,jj,2,2) = zvis11 * ze22 + zdiag |
---|
| 391 | zsigm21(ji,jj,2,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
| 392 | |
---|
| 393 | END DO |
---|
| 394 | END DO |
---|
| 395 | |
---|
[12] | 396 | DO jj = i_j2, i_jpjm1 |
---|
[3] | 397 | DO ji = 2, jpim1 |
---|
| 398 | zc1v(ji,jj) = alambd(ji,jj,2,2,2,1) * zsigm11(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zsigm11(ji,jj,2,2) & |
---|
| 399 | & - alambd(ji,jj,2,2,1,1) * zsigm11(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zsigm11(ji,jj,1,2) & |
---|
| 400 | & - alambd(ji,jj,1,1,2,1) * zsigm12(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zsigm12(ji,jj,1,1) & |
---|
| 401 | & + alambd(ji,jj,1,1,2,2) * zsigm12(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zsigm12(ji,jj,1,2) & |
---|
| 402 | & + alambd(ji,jj,1,2,1,1) * zsigm21(ji,jj,1,1) + alambd(ji,jj,1,2,2,1) * zsigm21(ji,jj,2,1) & |
---|
| 403 | & + alambd(ji,jj,1,2,1,2) * zsigm21(ji,jj,1,2) + alambd(ji,jj,1,2,2,2) * zsigm21(ji,jj,2,2) & |
---|
| 404 | & - alambd(ji,jj,2,1,1,1) * zsigm22(ji,jj,1,1) - alambd(ji,jj,2,1,2,1) * zsigm22(ji,jj,2,1) & |
---|
| 405 | & - alambd(ji,jj,2,1,1,2) * zsigm22(ji,jj,1,2) - alambd(ji,jj,2,1,2,2) * zsigm22(ji,jj,2,2) |
---|
| 406 | zc2v(ji,jj) = alambd(ji,jj,2,2,2,1) * zsigm21(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zsigm21(ji,jj,2,2) & |
---|
| 407 | & - alambd(ji,jj,2,2,1,1) * zsigm21(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zsigm21(ji,jj,1,2) & |
---|
| 408 | & - alambd(ji,jj,1,1,2,1) * zsigm22(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zsigm22(ji,jj,1,1) & |
---|
| 409 | & + alambd(ji,jj,1,1,2,2) * zsigm22(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zsigm22(ji,jj,1,2) & |
---|
| 410 | & - alambd(ji,jj,1,2,1,1) * zsigm11(ji,jj,1,1) - alambd(ji,jj,1,2,2,1) * zsigm11(ji,jj,2,1) & |
---|
| 411 | & - alambd(ji,jj,1,2,1,2) * zsigm11(ji,jj,1,2) - alambd(ji,jj,1,2,2,2) * zsigm11(ji,jj,2,2) & |
---|
| 412 | & + alambd(ji,jj,2,1,1,1) * zsigm12(ji,jj,1,1) + alambd(ji,jj,2,1,2,1) * zsigm12(ji,jj,2,1) & |
---|
| 413 | & + alambd(ji,jj,2,1,1,2) * zsigm12(ji,jj,1,2) + alambd(ji,jj,2,1,2,2) * zsigm12(ji,jj,2,2) |
---|
| 414 | END DO |
---|
| 415 | END DO |
---|
| 416 | |
---|
| 417 | ! Relaxation. |
---|
| 418 | |
---|
| 419 | iflag: DO jter = 1 , nbitdr |
---|
| 420 | |
---|
| 421 | ! Store previous drift field. |
---|
[12] | 422 | DO jj = i_j1, i_jpjm1 |
---|
[3] | 423 | zu_ice(:,jj) = u_ice(:,jj) |
---|
| 424 | zv_ice(:,jj) = v_ice(:,jj) |
---|
| 425 | END DO |
---|
| 426 | |
---|
[12] | 427 | DO jj = i_j2, i_jpjm1 |
---|
[3] | 428 | DO ji = 2, jpim1 |
---|
| 429 | zur = u_ice(ji,jj) - u_oce(ji,jj) |
---|
| 430 | zvr = v_ice(ji,jj) - v_oce(ji,jj) |
---|
| 431 | zmod = SQRT( zur * zur + zvr * zvr) * ( 1.0 - zfrld(ji,jj) ) |
---|
| 432 | za = rhoco * zmod |
---|
| 433 | zac = za * cangvg |
---|
| 434 | zmpzas = alpha * zcorl(ji,jj) + za * zsang |
---|
| 435 | zmassdt = zusdtp * zmass(ji,jj) |
---|
| 436 | zcorlal = ( 1.0 - alpha ) * zcorl(ji,jj) |
---|
| 437 | |
---|
| 438 | za1(ji,jj) = zmassdt * zu0(ji,jj) + zcorlal * zv0(ji,jj) + za1ct(ji,jj) & |
---|
| 439 | & + za * ( cangvg * u_oce(ji,jj) - zsang * v_oce(ji,jj) ) |
---|
| 440 | |
---|
| 441 | za2(ji,jj) = zmassdt * zv0(ji,jj) - zcorlal * zu0(ji,jj) + za2ct(ji,jj) & |
---|
| 442 | & + za * ( cangvg * v_oce(ji,jj) + zsang * u_oce(ji,jj) ) |
---|
| 443 | |
---|
| 444 | zb1(ji,jj) = zmassdt + zac - zc1u(ji,jj) |
---|
| 445 | zb2(ji,jj) = zmpzas - zc2u(ji,jj) |
---|
| 446 | zc1(ji,jj) = zmpzas + zc1v(ji,jj) |
---|
| 447 | zc2(ji,jj) = zmassdt + zac - zc2v(ji,jj) |
---|
| 448 | zdeter = zc1(ji,jj) * zb2(ji,jj) + zc2(ji,jj) * zb1(ji,jj) |
---|
| 449 | zden(ji,jj) = SIGN( rone, zdeter) / MAX( epsd , ABS( zdeter ) ) |
---|
| 450 | END DO |
---|
| 451 | END DO |
---|
| 452 | |
---|
| 453 | ! The computation of ice interaction term is splitted into two parts |
---|
| 454 | !------------------------------------------------------------------------- |
---|
| 455 | |
---|
| 456 | ! Terms that do not involve already up-dated velocities. |
---|
| 457 | |
---|
[12] | 458 | DO jj = i_j2, i_jpjm1 |
---|
[3] | 459 | DO ji = 2, jpim1 |
---|
| 460 | iim1 = ji |
---|
| 461 | ijm1 = jj - 1 |
---|
| 462 | iip1 = ji + 1 |
---|
| 463 | ijp1 = jj |
---|
| 464 | ze11 = akappa(iim1,ijm1,1,1) * u_ice(iip1,ijp1) + akappa(iim1,ijm1,1,2) * v_ice(iip1,ijp1) |
---|
| 465 | ze12 = + akappa(iim1,ijm1,2,2) * u_ice(iip1,ijp1) - akappa(iim1,ijm1,2,1) * v_ice(iip1,ijp1) |
---|
| 466 | ze22 = + akappa(iim1,ijm1,2,2) * v_ice(iip1,ijp1) + akappa(iim1,ijm1,2,1) * u_ice(iip1,ijp1) |
---|
| 467 | ze21 = akappa(iim1,ijm1,1,1) * v_ice(iip1,ijp1) - akappa(iim1,ijm1,1,2) * u_ice(iip1,ijp1) |
---|
| 468 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 469 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 470 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 471 | zvis21 = zviseta (iim1,ijm1) |
---|
| 472 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 473 | zsigm11(ji,jj,2,1) = zvis11 * ze11 + zdiag |
---|
| 474 | zsigm12(ji,jj,2,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 475 | zsigm22(ji,jj,2,1) = zvis11 * ze22 + zdiag |
---|
| 476 | zsigm21(ji,jj,2,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
| 477 | |
---|
| 478 | |
---|
| 479 | iim1 = ji - 1 |
---|
| 480 | ijm1 = jj |
---|
| 481 | iip1 = ji |
---|
| 482 | ijp1 = jj + 1 |
---|
| 483 | ze11 = akappa(iim1,ijm1,1,1) * ( u_ice(iip1,ijp1) - u_ice(iim1,ijp1) ) & |
---|
| 484 | & + akappa(iim1,ijm1,1,2) * ( v_ice(iip1,ijp1) + v_ice(iim1,ijp1) ) |
---|
| 485 | ze12 = + akappa(iim1,ijm1,2,2) * ( u_ice(iim1,ijp1) + u_ice(iip1,ijp1) ) & |
---|
| 486 | & - akappa(iim1,ijm1,2,1) * ( v_ice(iim1,ijp1) + v_ice(iip1,ijp1) ) |
---|
| 487 | ze22 = + akappa(iim1,ijm1,2,2) * ( v_ice(iim1,ijp1) + v_ice(iip1,ijp1) ) & |
---|
| 488 | & + akappa(iim1,ijm1,2,1) * ( u_ice(iim1,ijp1) + u_ice(iip1,ijp1) ) |
---|
| 489 | ze21 = akappa(iim1,ijm1,1,1) * ( v_ice(iip1,ijp1) - v_ice(iim1,ijp1) ) & |
---|
| 490 | & - akappa(iim1,ijm1,1,2) * ( u_ice(iip1,ijp1) + u_ice(iim1,ijp1) ) |
---|
| 491 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 492 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 493 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 494 | zvis21 = zviseta (iim1,ijm1) |
---|
| 495 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 496 | zsigm11(ji,jj,1,2) = zvis11 * ze11 + zdiag |
---|
| 497 | zsigm12(ji,jj,1,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 498 | zsigm22(ji,jj,1,2) = zvis11 * ze22 + zdiag |
---|
| 499 | zsigm21(ji,jj,1,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
| 500 | |
---|
| 501 | iim1 = ji |
---|
| 502 | ijm1 = jj |
---|
| 503 | iip1 = ji + 1 |
---|
| 504 | ijp1 = jj + 1 |
---|
| 505 | ze11 = akappa(iim1,ijm1,1,1) * ( u_ice(iip1,ijm1) + u_ice(iip1,ijp1) - u_ice(iim1,ijp1) ) & |
---|
| 506 | & + akappa(iim1,ijm1,1,2) * ( v_ice(iip1,ijm1) + v_ice(iip1,ijp1) + v_ice(iim1,ijp1) ) |
---|
| 507 | ze12 = - akappa(iim1,ijm1,2,2) * ( u_ice(iip1,ijm1) - u_ice(iim1,ijp1) - u_ice(iip1,ijp1) ) & |
---|
| 508 | & - akappa(iim1,ijm1,2,1) * ( v_ice(iip1,ijm1) + v_ice(iim1,ijp1) + v_ice(iip1,ijp1) ) |
---|
| 509 | ze22 = - akappa(iim1,ijm1,2,2) * ( v_ice(iip1,ijm1) - v_ice(iim1,ijp1) - v_ice(iip1,ijp1) ) & |
---|
| 510 | & + akappa(iim1,ijm1,2,1) * ( u_ice(iip1,ijm1) + u_ice(iim1,ijp1) + u_ice(iip1,ijp1) ) |
---|
| 511 | ze21 = akappa(iim1,ijm1,1,1) * ( v_ice(iip1,ijm1) + v_ice(iip1,ijp1) - v_ice(iim1,ijp1) ) & |
---|
| 512 | & - akappa(iim1,ijm1,1,2) * ( u_ice(iip1,ijm1) + u_ice(iip1,ijp1) + u_ice(iim1,ijp1) ) |
---|
| 513 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 514 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 515 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 516 | zvis21 = zviseta (iim1,ijm1) |
---|
| 517 | |
---|
| 518 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
| 519 | zsigm11(ji,jj,2,2) = zvis11 * ze11 + zdiag |
---|
| 520 | zsigm12(ji,jj,2,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 521 | zsigm22(ji,jj,2,2) = zvis11 * ze22 + zdiag |
---|
| 522 | zsigm21(ji,jj,2,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
| 523 | |
---|
| 524 | END DO |
---|
| 525 | END DO |
---|
| 526 | |
---|
| 527 | ! Terms involving already up-dated velocities. |
---|
| 528 | !-Using the arrays zu_ice and zv_ice in the computation of the terms ze leads to JACOBI's method; |
---|
| 529 | ! Using arrays u and v in the computation of the terms ze leads to GAUSS-SEIDEL method. |
---|
| 530 | |
---|
[12] | 531 | DO jj = i_j2, i_jpjm1 |
---|
[3] | 532 | DO ji = 2, jpim1 |
---|
| 533 | iim1 = ji - 1 |
---|
| 534 | ijm1 = jj - 1 |
---|
| 535 | iip1 = ji |
---|
| 536 | ijp1 = jj |
---|
| 537 | ze11 = akappa(iim1,ijm1,1,1) * ( zu_ice(iip1,ijm1) - zu_ice(iim1,ijm1) - zu_ice(iim1,ijp1) ) & |
---|
| 538 | & + akappa(iim1,ijm1,1,2) * ( zv_ice(iip1,ijm1) + zv_ice(iim1,ijm1) + zv_ice(iim1,ijp1) ) |
---|
| 539 | ze12 = - akappa(iim1,ijm1,2,2) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) - zu_ice(iim1,ijp1) ) & |
---|
| 540 | & - akappa(iim1,ijm1,2,1) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) + zv_ice(iim1,ijp1) ) |
---|
| 541 | ze22 = - akappa(iim1,ijm1,2,2) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) - zv_ice(iim1,ijp1) ) & |
---|
| 542 | & + akappa(iim1,ijm1,2,1) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) + zu_ice(iim1,ijp1) ) |
---|
| 543 | ze21 = akappa(iim1,ijm1,1,1) * ( zv_ice(iip1,ijm1) - zv_ice(iim1,ijm1) - zv_ice(iim1,ijp1) ) & |
---|
| 544 | & - akappa(iim1,ijm1,1,2) * ( zu_ice(iip1,ijm1) + zu_ice(iim1,ijm1) + zu_ice(iim1,ijp1) ) |
---|
| 545 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 546 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 547 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 548 | zvis21 = zviseta (iim1,ijm1) |
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| 549 | |
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| 550 | zdiag = zvis22 * ( ze11 + ze22 ) |
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| 551 | zsigm11(ji,jj,1,1) = zvis11 * ze11 + zdiag |
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| 552 | zsigm12(ji,jj,1,1) = zvis12 * ze12 + zvis21 * ze21 |
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| 553 | zsigm22(ji,jj,1,1) = zvis11 * ze22 + zdiag |
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| 554 | zsigm21(ji,jj,1,1) = zvis12 * ze21 + zvis21 * ze12 |
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| 555 | |
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| 556 | |
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| 557 | iim1 = ji |
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| 558 | ijm1 = jj - 1 |
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| 559 | iip1 = ji + 1 |
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| 560 | ze11 = akappa(iim1,ijm1,1,1) * ( zu_ice(iip1,ijm1) - zu_ice(iim1,ijm1) ) & |
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| 561 | & + akappa(iim1,ijm1,1,2) * ( zv_ice(iip1,ijm1) + zv_ice(iim1,ijm1) ) |
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| 562 | ze12 = - akappa(iim1,ijm1,2,2) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) ) & |
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| 563 | & - akappa(iim1,ijm1,2,1) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) ) |
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| 564 | ze22 = - akappa(iim1,ijm1,2,2) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) ) & |
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| 565 | & + akappa(iim1,ijm1,2,1) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) ) |
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| 566 | ze21 = akappa(iim1,ijm1,1,1) * ( zv_ice(iip1,ijm1) - zv_ice(iim1,ijm1) ) & |
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| 567 | & - akappa(iim1,ijm1,1,2) * ( zu_ice(iip1,ijm1) + zu_ice(iim1,ijm1) ) |
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| 568 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
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| 569 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
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| 570 | zvis12 = zviseta (iim1,ijm1) + dm |
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| 571 | zvis21 = zviseta (iim1,ijm1) |
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| 572 | |
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| 573 | zdiag = zvis22 * ( ze11 + ze22 ) |
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| 574 | zsigm11(ji,jj,2,1) = zsigm11(ji,jj,2,1) + zvis11 * ze11 + zdiag |
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| 575 | zsigm12(ji,jj,2,1) = zsigm12(ji,jj,2,1) + zvis12 * ze12 + zvis21 * ze21 |
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| 576 | zsigm22(ji,jj,2,1) = zsigm22(ji,jj,2,1) + zvis11 * ze22 + zdiag |
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| 577 | zsigm21(ji,jj,2,1) = zsigm21(ji,jj,2,1) + zvis12 * ze21 + zvis21 * ze12 |
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| 578 | |
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| 579 | |
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| 580 | iim1 = ji - 1 |
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| 581 | ijm1 = jj |
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| 582 | ze11 = - akappa(iim1,ijm1,1,1) * zu_ice(iim1,ijm1) + akappa(iim1,ijm1,1,2) * zv_ice(iim1,ijm1) |
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| 583 | ze12 = - akappa(iim1,ijm1,2,2) * zu_ice(iim1,ijm1) - akappa(iim1,ijm1,2,1) * zv_ice(iim1,ijm1) |
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| 584 | ze22 = - akappa(iim1,ijm1,2,2) * zv_ice(iim1,ijm1) + akappa(iim1,ijm1,2,1) * zu_ice(iim1,ijm1) |
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| 585 | ze21 = - akappa(iim1,ijm1,1,1) * zv_ice(iim1,ijm1) - akappa(iim1,ijm1,1,2) * zu_ice(iim1,ijm1) |
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| 586 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
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| 587 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
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| 588 | zvis12 = zviseta (iim1,ijm1) + dm |
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| 589 | zvis21 = zviseta (iim1,ijm1) |
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| 590 | |
---|
| 591 | zdiag = zvis22 * ( ze11 + ze22 ) |
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| 592 | zsigm11(ji,jj,1,2) = zsigm11(ji,jj,1,2) + zvis11 * ze11 + zdiag |
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| 593 | zsigm12(ji,jj,1,2) = zsigm12(ji,jj,1,2) + zvis12 * ze12 + zvis21 * ze21 |
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| 594 | zsigm22(ji,jj,1,2) = zsigm22(ji,jj,1,2) + zvis11 * ze22 + zdiag |
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| 595 | zsigm21(ji,jj,1,2) = zsigm21(ji,jj,1,2) + zvis12 * ze21 + zvis21 * ze12 |
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| 596 | |
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| 597 | !i END DO |
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| 598 | !i END DO |
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| 599 | |
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[12] | 600 | !i DO jj = i_j2, i_jpjm1 |
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[3] | 601 | !i DO ji = 2, jpim1 |
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| 602 | zd1(ji,jj) = alambd(ji,jj,2,2,2,1) * zsigm11(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zsigm11(ji,jj,2,2) & |
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| 603 | & - alambd(ji,jj,2,2,1,1) * zsigm11(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zsigm11(ji,jj,1,2) & |
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| 604 | & - alambd(ji,jj,1,1,2,1) * zsigm12(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zsigm12(ji,jj,1,1) & |
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| 605 | & + alambd(ji,jj,1,1,2,2) * zsigm12(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zsigm12(ji,jj,1,2) & |
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| 606 | & + alambd(ji,jj,1,2,1,1) * zsigm21(ji,jj,1,1) + alambd(ji,jj,1,2,2,1) * zsigm21(ji,jj,2,1) & |
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| 607 | & + alambd(ji,jj,1,2,1,2) * zsigm21(ji,jj,1,2) + alambd(ji,jj,1,2,2,2) * zsigm21(ji,jj,2,2) & |
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| 608 | & - alambd(ji,jj,2,1,1,1) * zsigm22(ji,jj,1,1) - alambd(ji,jj,2,1,2,1) * zsigm22(ji,jj,2,1) & |
---|
| 609 | & - alambd(ji,jj,2,1,1,2) * zsigm22(ji,jj,1,2) - alambd(ji,jj,2,1,2,2) * zsigm22(ji,jj,2,2) |
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| 610 | |
---|
| 611 | zd2(ji,jj) = alambd(ji,jj,2,2,2,1) * zsigm21(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zsigm21(ji,jj,2,2) & |
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| 612 | & - alambd(ji,jj,2,2,1,1) * zsigm21(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zsigm21(ji,jj,1,2) & |
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| 613 | & - alambd(ji,jj,1,1,2,1) * zsigm22(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zsigm22(ji,jj,1,1) & |
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| 614 | & + alambd(ji,jj,1,1,2,2) * zsigm22(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zsigm22(ji,jj,1,2) & |
---|
| 615 | & - alambd(ji,jj,1,2,1,1) * zsigm11(ji,jj,1,1) - alambd(ji,jj,1,2,2,1) * zsigm11(ji,jj,2,1) & |
---|
| 616 | & - alambd(ji,jj,1,2,1,2) * zsigm11(ji,jj,1,2) - alambd(ji,jj,1,2,2,2) * zsigm11(ji,jj,2,2) & |
---|
| 617 | & + alambd(ji,jj,2,1,1,1) * zsigm12(ji,jj,1,1) + alambd(ji,jj,2,1,2,1) * zsigm12(ji,jj,2,1) & |
---|
| 618 | & + alambd(ji,jj,2,1,1,2) * zsigm12(ji,jj,1,2) + alambd(ji,jj,2,1,2,2) * zsigm12(ji,jj,2,2) |
---|
| 619 | END DO |
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| 620 | END DO |
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| 621 | |
---|
[12] | 622 | DO jj = i_j2, i_jpjm1 |
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[3] | 623 | DO ji = 2, jpim1 |
---|
| 624 | zunw = ( ( za1(ji,jj) + zd1(ji,jj) ) * zc2(ji,jj) & |
---|
| 625 | & + ( za2(ji,jj) + zd2(ji,jj) ) * zc1(ji,jj) ) * zden(ji,jj) |
---|
| 626 | |
---|
| 627 | zvnw = ( ( za2(ji,jj) + zd2(ji,jj) ) * zb1(ji,jj) & |
---|
| 628 | & - ( za1(ji,jj) + zd1(ji,jj) ) * zb2(ji,jj) ) * zden(ji,jj) |
---|
| 629 | |
---|
| 630 | zmask = ( 1.0 - MAX( rzero, SIGN( rone , 1.0 - zmass(ji,jj) ) ) ) * tmu(ji,jj) |
---|
| 631 | |
---|
| 632 | u_ice(ji,jj) = ( u_ice(ji,jj) + om * ( zunw - u_ice(ji,jj) ) * tmu(ji,jj) ) * zmask |
---|
| 633 | v_ice(ji,jj) = ( v_ice(ji,jj) + om * ( zvnw - v_ice(ji,jj) ) * tmu(ji,jj) ) * zmask |
---|
| 634 | END DO |
---|
| 635 | END DO |
---|
| 636 | |
---|
| 637 | CALL lbc_lnk( u_ice, 'I', -1. ) |
---|
| 638 | CALL lbc_lnk( v_ice, 'I', -1. ) |
---|
| 639 | |
---|
| 640 | !--- 5.2.5.4. Convergence test. |
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[12] | 641 | DO jj = i_j2 , i_jpjm1 |
---|
[3] | 642 | zresr(:,jj) = MAX( ABS( u_ice(:,jj) - zu_ice(:,jj) ) , ABS( v_ice(:,jj) - zv_ice(:,jj) ) ) |
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| 643 | END DO |
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[12] | 644 | zresm = MAXVAL( zresr( 1:jpi , i_j2:i_jpjm1 ) ) |
---|
[3] | 645 | |
---|
| 646 | IF ( zresm <= resl) EXIT iflag |
---|
| 647 | |
---|
| 648 | END DO iflag |
---|
| 649 | |
---|
| 650 | zindu1 = 1.0 - zindu |
---|
[12] | 651 | DO jj = i_j1 , i_jpjm1 |
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[3] | 652 | zu0(:,jj) = zindu * zu0(:,jj) + zindu1 * u_ice(:,jj) |
---|
| 653 | zv0(:,jj) = zindu * zv0(:,jj) + zindu1 * v_ice(:,jj) |
---|
| 654 | END DO |
---|
| 655 | ! ! ==================== ! |
---|
| 656 | END DO ! end loop over iter ! |
---|
| 657 | ! ! ==================== ! |
---|
| 658 | |
---|
| 659 | IF( l_ctl .AND. lwp ) THEN |
---|
| 660 | WRITE(numout,*) ' lim_rhg : res= ', zresm, 'iter= ', jter,' u_ice ', SUM( u_ice ) , ' v_ice ', SUM( v_ice ) |
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| 661 | ENDIF |
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| 662 | |
---|
| 663 | END SUBROUTINE lim_rhg |
---|
| 664 | #else |
---|
| 665 | !!============================================================================== |
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| 666 | !! *** MODULE limrhg *** |
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| 667 | !! No sea ice |
---|
| 668 | !!============================================================================== |
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| 669 | CONTAINS |
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| 670 | SUBROUTINE lim_rhg ! Empty routine |
---|
| 671 | END SUBROUTINE lim_rhg |
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| 672 | |
---|
| 673 | #endif |
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| 674 | |
---|
| 675 | END MODULE limrhg |
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