[3] | 1 | MODULE limrhg |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limrhg *** |
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| 4 | !! Ice rheology : performs sea ice rheology |
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| 5 | !!====================================================================== |
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[77] | 6 | #if defined key_ice_lim |
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[3] | 7 | !!---------------------------------------------------------------------- |
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[77] | 8 | !! 'key_ice_lim' LIM sea-ice model |
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| 9 | !!---------------------------------------------------------------------- |
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[3] | 10 | !! lim_rhg : computes ice velocities |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! * Modules used |
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| 13 | USE phycst |
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[77] | 14 | USE par_oce |
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[3] | 15 | USE ice_oce ! ice variables |
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| 16 | USE dom_ice |
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| 17 | USE ice |
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| 18 | USE lbclnk |
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[77] | 19 | USE lib_mpp |
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[3] | 20 | USE in_out_manager ! I/O manager |
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| 21 | |
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| 22 | IMPLICIT NONE |
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| 23 | PRIVATE |
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| 24 | |
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| 25 | !! * Routine accessibility |
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| 26 | PUBLIC lim_rhg ! routine called by lim_dyn |
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| 27 | |
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| 28 | !! * Module variables |
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[106] | 29 | REAL(wp) :: & ! constant values |
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[77] | 30 | rzero = 0.e0 , & |
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| 31 | rone = 1.e0 |
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[3] | 32 | !!---------------------------------------------------------------------- |
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| 33 | !! LIM 2.0 , UCL-LODYC-IPSL (2003) |
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| 34 | !!---------------------------------------------------------------------- |
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| 35 | |
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| 36 | CONTAINS |
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| 37 | |
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[77] | 38 | SUBROUTINE lim_rhg( k_j1, k_jpj ) |
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[3] | 39 | !!------------------------------------------------------------------- |
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[12] | 40 | !! *** SUBROUTINR lim_rhg *** |
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[77] | 41 | !! |
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[12] | 42 | !! ** purpose : determines the velocity field of sea ice by using |
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| 43 | !! atmospheric (wind stress) and oceanic (water stress and surface |
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| 44 | !! tilt) forcings. Ice-ice interaction is described by a non-linear |
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| 45 | !! viscous-plastic law including shear strength and a bulk rheology. |
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[3] | 46 | !! |
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| 47 | !! ** Action : - compute u_ice, v_ice the sea-ice velocity |
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| 48 | !! |
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| 49 | !! History : |
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| 50 | !! 0.0 ! 93-12 (M.A. Morales Maqueda.) Original code |
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| 51 | !! 1.0 ! 94-12 (H. Goosse) |
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| 52 | !! 2.0 ! 03-12 (C. Ethe, G. Madec) F90, mpp |
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| 53 | !!------------------------------------------------------------------- |
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| 54 | ! * Arguments |
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[77] | 55 | INTEGER, INTENT(in) :: k_j1 , & ! southern j-index for ice computation |
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| 56 | & k_jpj ! northern j-index for ice computation |
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[3] | 57 | |
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| 58 | ! * Local variables |
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[12] | 59 | INTEGER :: ji, jj ! dummy loop indices |
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[3] | 60 | |
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[12] | 61 | INTEGER :: & |
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| 62 | iim1, ijm1, iip1 , ijp1 , & ! temporary integers |
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| 63 | iter, jter ! " " |
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| 64 | |
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| 65 | REAL(wp) :: & |
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| 66 | ze11 , ze12 , ze22 , ze21 , & ! temporary scalars |
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| 67 | zt11 , zt12 , zt21 , zt22 , & ! " " |
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| 68 | zvis11, zvis21, zvis12, zvis22, & ! " " |
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| 69 | zgphsx, ztagnx, zusw , & ! " " |
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| 70 | zgphsy, ztagny ! " " |
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| 71 | REAL(wp) :: & |
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| 72 | zresm, zunw, zvnw, zur, zvr, zmod, za, zac, & |
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| 73 | zmpzas, zstms, zindu, zindu1, zusdtp, zmassdt, zcorlal, & |
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| 74 | ztrace2, zdeter, zdelta, zsang, zmask, zdgp, zdgi, zdiag |
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[3] | 75 | REAL(wp),DIMENSION(jpi,jpj) :: & |
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| 76 | zpresh, zfrld, zmass, zcorl, & |
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| 77 | zu0, zv0, zviszeta, zviseta, & |
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| 78 | zc1u, zc1v, zc2u, zc2v, za1ct, za2ct, za1, za2, zb1, zb2, & |
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| 79 | zc1, zc2, zd1, zd2, zden, zu_ice, zv_ice, zresr |
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| 80 | REAL(wp),DIMENSION(jpi,jpj,2,2) :: & |
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[77] | 81 | zs11, zs12, zs22, zs21 |
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[3] | 82 | !!------------------------------------------------------------------- |
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| 83 | |
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[77] | 84 | ! Store initial velocities |
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| 85 | ! ------------------------ |
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[12] | 86 | zu0(:,:) = u_ice(:,:) |
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| 87 | zv0(:,:) = v_ice(:,:) |
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[3] | 88 | |
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[77] | 89 | ! Ice mass, ice strength, and wind stress at the center | |
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| 90 | ! of the grid squares. | |
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| 91 | !------------------------------------------------------------------- |
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[3] | 92 | |
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[77] | 93 | DO jj = k_j1 , k_jpj-1 |
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[3] | 94 | DO ji = 1 , jpi |
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| 95 | za1(ji,jj) = tms(ji,jj) * ( rhosn * hsnm(ji,jj) + rhoic * hicm(ji,jj) ) |
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| 96 | zpresh(ji,jj) = tms(ji,jj) * pstarh * hicm(ji,jj) * EXP( -c_rhg * frld(ji,jj) ) |
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| 97 | #if defined key_lim_cp1 && defined key_coupled |
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| 98 | zb1(ji,jj) = tms(ji,jj) * gtaux(ji,jj) * ( 1.0 - frld(ji,jj) ) |
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| 99 | zb2(ji,jj) = tms(ji,jj) * gtauy(ji,jj) * ( 1.0 - frld(ji,jj) ) |
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| 100 | #else |
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| 101 | zb1(ji,jj) = tms(ji,jj) * ( 1.0 - frld(ji,jj) ) |
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| 102 | zb2(ji,jj) = tms(ji,jj) * ( 1.0 - frld(ji,jj) ) |
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| 103 | #endif |
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| 104 | END DO |
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| 105 | END DO |
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| 106 | |
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| 107 | |
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| 108 | !--------------------------------------------------------------------------- |
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| 109 | ! Wind stress, coriolis and mass terms at the corners of the grid squares | |
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| 110 | ! Gradient of ice strenght. | |
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| 111 | !--------------------------------------------------------------------------- |
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| 112 | |
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[77] | 113 | DO jj = k_j1+1, k_jpj-1 |
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[3] | 114 | DO ji = 2, jpi |
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| 115 | zstms = tms(ji,jj ) * wght(ji,jj,2,2) + tms(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 116 | & + tms(ji,jj-1) * wght(ji,jj,2,1) + tms(ji-1,jj-1) * wght(ji,jj,1,1) |
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| 117 | zusw = 1.0 / MAX( zstms, epsd ) |
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| 118 | |
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| 119 | zt11 = tms(ji ,jj ) * frld(ji ,jj ) |
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| 120 | zt12 = tms(ji-1,jj ) * frld(ji-1,jj ) |
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| 121 | zt21 = tms(ji ,jj-1) * frld(ji ,jj-1) |
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| 122 | zt22 = tms(ji-1,jj-1) * frld(ji-1,jj-1) |
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| 123 | |
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| 124 | ! Leads area. |
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| 125 | zfrld(ji,jj) = ( zt11 * wght(ji,jj,2,2) + zt12 * wght(ji,jj,1,2) & |
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| 126 | & + zt21 * wght(ji,jj,2,1) + zt22 * wght(ji,jj,1,1) ) * zusw |
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| 127 | |
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| 128 | ! Mass and coriolis coeff. |
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| 129 | zmass(ji,jj) = ( za1(ji,jj ) * wght(ji,jj,2,2) + za1(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 130 | & + za1(ji,jj-1) * wght(ji,jj,2,1) + za1(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw |
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| 131 | zcorl(ji,jj) = zmass(ji,jj) * fcor(ji,jj) |
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| 132 | |
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| 133 | ! Wind stress. |
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| 134 | #if defined key_lim_cp1 && defined key_coupled |
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| 135 | ztagnx = ( zb1(ji,jj ) * wght(ji,jj,2,2) + zb1(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 136 | & + zb1(ji,jj-1) * wght(ji,jj,2,1) + zb1(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw |
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| 137 | ztagny = ( zb2(ji,jj ) * wght(ji,jj,2,2) + zb2(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 138 | & + zb2(ji,jj-1) * wght(ji,jj,2,1) + zb2(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw |
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| 139 | #else |
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| 140 | ztagnx = ( zb1(ji,jj ) * wght(ji,jj,2,2) + zb1(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 141 | & + 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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| 142 | ztagny = ( zb2(ji,jj ) * wght(ji,jj,2,2) + zb2(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 143 | & + 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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| 144 | #endif |
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| 145 | |
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| 146 | ! Gradient of ice strength |
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| 147 | zgphsx = ( alambd(ji,jj,2,2,2,1) - alambd(ji,jj,2,1,2,1) ) * zpresh(ji ,jj-1) & |
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| 148 | & + ( alambd(ji,jj,2,2,2,2) - alambd(ji,jj,2,1,2,2) ) * zpresh(ji ,jj ) & |
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| 149 | & - ( alambd(ji,jj,2,2,1,1) + alambd(ji,jj,2,1,1,1) ) * zpresh(ji-1,jj-1) & |
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| 150 | & - ( alambd(ji,jj,2,2,1,2) + alambd(ji,jj,2,1,1,2) ) * zpresh(ji-1,jj ) |
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| 151 | |
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| 152 | zgphsy = - ( alambd(ji,jj,1,1,2,1) + alambd(ji,jj,1,2,2,1) ) * zpresh(ji ,jj-1) & |
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| 153 | & - ( alambd(ji,jj,1,1,1,1) + alambd(ji,jj,1,2,1,1) ) * zpresh(ji-1,jj-1) & |
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| 154 | & + ( alambd(ji,jj,1,1,2,2) - alambd(ji,jj,1,2,2,2) ) * zpresh(ji ,jj ) & |
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| 155 | & + ( alambd(ji,jj,1,1,1,2) - alambd(ji,jj,1,2,1,2) ) * zpresh(ji-1,jj ) |
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| 156 | |
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| 157 | ! Computation of the velocity field taking into account the ice-ice interaction. |
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| 158 | ! Terms that are independent of the velocity field. |
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| 159 | za1ct(ji,jj) = ztagnx - zcorl(ji,jj) * v_oce(ji,jj) - zgphsx |
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| 160 | za2ct(ji,jj) = ztagny + zcorl(ji,jj) * u_oce(ji,jj) - zgphsy |
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| 161 | END DO |
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| 162 | END DO |
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| 163 | |
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| 164 | !! inutile!! |
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| 165 | !!?? CALL lbc_lnk( za1ct, 'I', -1. ) |
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| 166 | !!?? CALL lbc_lnk( za2ct, 'I', -1. ) |
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| 167 | |
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| 168 | |
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| 169 | ! SOLUTION OF THE MOMENTUM EQUATION. |
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| 170 | !------------------------------------------ |
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| 171 | ! ! ==================== ! |
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| 172 | DO iter = 1 , 2 * nbiter ! loop over iter ! |
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| 173 | ! ! ==================== ! |
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| 174 | zindu = MOD( iter , 2 ) |
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| 175 | zusdtp = ( zindu * 2.0 + ( 1.0 - zindu ) * 1.0 ) * REAL( nbiter ) / rdt_ice |
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| 176 | |
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| 177 | ! Computation of free drift field for free slip boundary conditions. |
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| 178 | |
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[77] | 179 | DO jj = k_j1, k_jpj-1 |
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[3] | 180 | DO ji = 1, jpim1 |
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| 181 | !- Rate of strain tensor. |
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| 182 | 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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| 183 | & + 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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| 184 | 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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| 185 | & - 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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| 186 | 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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| 187 | & + 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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| 188 | 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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| 189 | & - 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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| 190 | |
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| 191 | !- Rate of strain tensor. |
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| 192 | zdgp = zt11 + zt22 |
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| 193 | zdgi = zt12 + zt21 |
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| 194 | ztrace2 = zdgp * zdgp |
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| 195 | zdeter = zt11 * zt22 - 0.25 * zdgi * zdgi |
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| 196 | |
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| 197 | ! Creep limit depends on the size of the grid. |
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| 198 | zdelta = MAX( SQRT( ztrace2 + ( ztrace2 - 4.0 * zdeter ) * usecc2), creepl) |
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| 199 | |
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| 200 | !- Computation of viscosities. |
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| 201 | zviszeta(ji,jj) = MAX( zpresh(ji,jj) / zdelta, etamn ) |
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| 202 | zviseta (ji,jj) = zviszeta(ji,jj) * usecc2 |
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| 203 | END DO |
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| 204 | END DO |
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| 205 | !!?? CALL lbc_lnk( zviszeta, 'I', -1. ) ! or T point??? semble reellement inutile |
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| 206 | !!?? CALL lbc_lnk( zviseta , 'I', -1. ) |
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| 207 | |
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| 208 | |
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| 209 | !- Determination of zc1u, zc2u, zc1v and zc2v. |
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[77] | 210 | DO jj = k_j1+1, k_jpj-1 |
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[3] | 211 | DO ji = 2, jpim1 |
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| 212 | ze11 = akappa(ji-1,jj-1,1,1) |
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| 213 | ze12 = +akappa(ji-1,jj-1,2,2) |
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| 214 | ze22 = akappa(ji-1,jj-1,2,1) |
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| 215 | ze21 = -akappa(ji-1,jj-1,1,2) |
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| 216 | zvis11 = 2.0 * zviseta (ji-1,jj-1) + dm |
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| 217 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
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| 218 | zvis12 = zviseta (ji-1,jj-1) + dm |
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| 219 | zvis21 = zviseta (ji-1,jj-1) |
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| 220 | |
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| 221 | zdiag = zvis22 * ( ze11 + ze22 ) |
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[77] | 222 | zs11(ji,jj,1,1) = zvis11 * ze11 + zdiag |
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| 223 | zs12(ji,jj,1,1) = zvis12 * ze12 + zvis21 * ze21 |
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| 224 | zs22(ji,jj,1,1) = zvis11 * ze22 + zdiag |
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| 225 | zs21(ji,jj,1,1) = zvis12 * ze21 + zvis21 * ze12 |
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[3] | 226 | |
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| 227 | ze11 = -akappa(ji,jj-1,1,1) |
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| 228 | ze12 = +akappa(ji,jj-1,2,2) |
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| 229 | ze22 = akappa(ji,jj-1,2,1) |
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| 230 | ze21 = -akappa(ji,jj-1,1,2) |
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| 231 | zvis11 = 2.0 * zviseta (ji,jj-1) + dm |
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| 232 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
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| 233 | zvis12 = zviseta (ji,jj-1) + dm |
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| 234 | zvis21 = zviseta (ji,jj-1) |
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| 235 | |
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| 236 | zdiag = zvis22 * ( ze11 + ze22 ) |
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[77] | 237 | zs11(ji,jj,2,1) = zvis11 * ze11 + zdiag |
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| 238 | zs12(ji,jj,2,1) = zvis12 * ze12 + zvis21 * ze21 |
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| 239 | zs22(ji,jj,2,1) = zvis11 * ze22 + zdiag |
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| 240 | zs21(ji,jj,2,1) = zvis12 * ze21 + zvis21 * ze12 |
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[3] | 241 | |
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| 242 | ze11 = akappa(ji-1,jj,1,1) |
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| 243 | ze12 = -akappa(ji-1,jj,2,2) |
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| 244 | ze22 = akappa(ji-1,jj,2,1) |
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| 245 | ze21 = -akappa(ji-1,jj,1,2) |
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| 246 | zvis11 = 2.0 * zviseta (ji-1,jj) + dm |
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| 247 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
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| 248 | zvis12 = zviseta (ji-1,jj) + dm |
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| 249 | zvis21 = zviseta (ji-1,jj) |
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| 250 | |
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| 251 | zdiag = zvis22 * ( ze11 + ze22 ) |
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[77] | 252 | zs11(ji,jj,1,2) = zvis11 * ze11 + zdiag |
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| 253 | zs12(ji,jj,1,2) = zvis12 * ze12 + zvis21 * ze21 |
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| 254 | zs22(ji,jj,1,2) = zvis11 * ze22 + zdiag |
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| 255 | zs21(ji,jj,1,2) = zvis12 * ze21 + zvis21 * ze12 |
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[3] | 256 | |
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| 257 | ze11 = -akappa(ji,jj,1,1) |
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| 258 | ze12 = -akappa(ji,jj,2,2) |
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| 259 | ze22 = akappa(ji,jj,2,1) |
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| 260 | ze21 = -akappa(ji,jj,1,2) |
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| 261 | zvis11 = 2.0 * zviseta (ji,jj) + dm |
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| 262 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
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| 263 | zvis12 = zviseta (ji,jj) + dm |
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| 264 | zvis21 = zviseta (ji,jj) |
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| 265 | |
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| 266 | zdiag = zvis22 * ( ze11 + ze22 ) |
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[77] | 267 | zs11(ji,jj,2,2) = zvis11 * ze11 + zdiag |
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| 268 | zs12(ji,jj,2,2) = zvis12 * ze12 + zvis21 * ze21 |
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| 269 | zs22(ji,jj,2,2) = zvis11 * ze22 + zdiag |
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| 270 | zs21(ji,jj,2,2) = zvis12 * ze21 + zvis21 * ze12 |
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[3] | 271 | END DO |
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| 272 | END DO |
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| 273 | |
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[77] | 274 | DO jj = k_j1+1, k_jpj-1 |
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[3] | 275 | DO ji = 2, jpim1 |
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[77] | 276 | zc1u(ji,jj) = & |
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| 277 | + alambd(ji,jj,2,2,2,1) * zs11(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs11(ji,jj,2,2) & |
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| 278 | - alambd(ji,jj,2,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs11(ji,jj,1,2) & |
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| 279 | - alambd(ji,jj,1,1,2,1) * zs12(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs12(ji,jj,1,1) & |
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| 280 | + alambd(ji,jj,1,1,2,2) * zs12(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs12(ji,jj,1,2) & |
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| 281 | + alambd(ji,jj,1,2,1,1) * zs21(ji,jj,1,1) + alambd(ji,jj,1,2,2,1) * zs21(ji,jj,2,1) & |
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| 282 | + alambd(ji,jj,1,2,1,2) * zs21(ji,jj,1,2) + alambd(ji,jj,1,2,2,2) * zs21(ji,jj,2,2) & |
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| 283 | - alambd(ji,jj,2,1,1,1) * zs22(ji,jj,1,1) - alambd(ji,jj,2,1,2,1) * zs22(ji,jj,2,1) & |
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| 284 | - alambd(ji,jj,2,1,1,2) * zs22(ji,jj,1,2) - alambd(ji,jj,2,1,2,2) * zs22(ji,jj,2,2) |
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[3] | 285 | |
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[77] | 286 | zc2u(ji,jj) = & |
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| 287 | + alambd(ji,jj,2,2,2,1) * zs21(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs21(ji,jj,2,2) & |
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| 288 | - alambd(ji,jj,2,2,1,1) * zs21(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs21(ji,jj,1,2) & |
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| 289 | - alambd(ji,jj,1,1,2,1) * zs22(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs22(ji,jj,1,1) & |
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| 290 | + alambd(ji,jj,1,1,2,2) * zs22(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs22(ji,jj,1,2) & |
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| 291 | - alambd(ji,jj,1,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,1,2,2,1) * zs11(ji,jj,2,1) & |
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| 292 | - alambd(ji,jj,1,2,1,2) * zs11(ji,jj,1,2) - alambd(ji,jj,1,2,2,2) * zs11(ji,jj,2,2) & |
---|
| 293 | + alambd(ji,jj,2,1,1,1) * zs12(ji,jj,1,1) + alambd(ji,jj,2,1,2,1) * zs12(ji,jj,2,1) & |
---|
| 294 | + alambd(ji,jj,2,1,1,2) * zs12(ji,jj,1,2) + alambd(ji,jj,2,1,2,2) * zs12(ji,jj,2,2) |
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[3] | 295 | END DO |
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| 296 | END DO |
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| 297 | |
---|
[77] | 298 | DO jj = k_j1+1, k_jpj-1 |
---|
[3] | 299 | DO ji = 2, jpim1 |
---|
| 300 | ! zc1v , zc2v. |
---|
| 301 | ze11 = akappa(ji-1,jj-1,1,2) |
---|
| 302 | ze12 = -akappa(ji-1,jj-1,2,1) |
---|
| 303 | ze22 = +akappa(ji-1,jj-1,2,2) |
---|
| 304 | ze21 = akappa(ji-1,jj-1,1,1) |
---|
| 305 | zvis11 = 2.0 * zviseta (ji-1,jj-1) + dm |
---|
| 306 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
---|
| 307 | zvis12 = zviseta (ji-1,jj-1) + dm |
---|
| 308 | zvis21 = zviseta (ji-1,jj-1) |
---|
| 309 | |
---|
| 310 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[77] | 311 | zs11(ji,jj,1,1) = zvis11 * ze11 + zdiag |
---|
| 312 | zs12(ji,jj,1,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 313 | zs22(ji,jj,1,1) = zvis11 * ze22 + zdiag |
---|
| 314 | zs21(ji,jj,1,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 315 | |
---|
| 316 | ze11 = akappa(ji,jj-1,1,2) |
---|
| 317 | ze12 = -akappa(ji,jj-1,2,1) |
---|
| 318 | ze22 = +akappa(ji,jj-1,2,2) |
---|
| 319 | ze21 = -akappa(ji,jj-1,1,1) |
---|
| 320 | zvis11 = 2.0 * zviseta (ji,jj-1) + dm |
---|
| 321 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
---|
| 322 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 323 | zvis21 = zviseta (ji,jj-1) |
---|
| 324 | |
---|
| 325 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[77] | 326 | zs11(ji,jj,2,1) = zvis11 * ze11 + zdiag |
---|
| 327 | zs12(ji,jj,2,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 328 | zs22(ji,jj,2,1) = zvis11 * ze22 + zdiag |
---|
| 329 | zs21(ji,jj,2,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 330 | |
---|
| 331 | ze11 = akappa(ji-1,jj,1,2) |
---|
| 332 | ze12 = -akappa(ji-1,jj,2,1) |
---|
| 333 | ze22 = -akappa(ji-1,jj,2,2) |
---|
| 334 | ze21 = akappa(ji-1,jj,1,1) |
---|
| 335 | zvis11 = 2.0 * zviseta (ji-1,jj) + dm |
---|
| 336 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
---|
| 337 | zvis12 = zviseta (ji-1,jj) + dm |
---|
| 338 | zvis21 = zviseta (ji-1,jj) |
---|
| 339 | |
---|
| 340 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[77] | 341 | zs11(ji,jj,1,2) = zvis11 * ze11 + zdiag |
---|
| 342 | zs12(ji,jj,1,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 343 | zs22(ji,jj,1,2) = zvis11 * ze22 + zdiag |
---|
| 344 | zs21(ji,jj,1,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 345 | |
---|
| 346 | ze11 = akappa(ji,jj,1,2) |
---|
| 347 | ze12 = -akappa(ji,jj,2,1) |
---|
| 348 | ze22 = -akappa(ji,jj,2,2) |
---|
| 349 | ze21 = -akappa(ji,jj,1,1) |
---|
| 350 | zvis11 = 2.0 * zviseta (ji,jj) + dm |
---|
| 351 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
---|
| 352 | zvis12 = zviseta (ji,jj) + dm |
---|
| 353 | zvis21 = zviseta (ji,jj) |
---|
| 354 | |
---|
| 355 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[77] | 356 | zs11(ji,jj,2,2) = zvis11 * ze11 + zdiag |
---|
| 357 | zs12(ji,jj,2,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 358 | zs22(ji,jj,2,2) = zvis11 * ze22 + zdiag |
---|
| 359 | zs21(ji,jj,2,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 360 | |
---|
| 361 | END DO |
---|
| 362 | END DO |
---|
| 363 | |
---|
[77] | 364 | DO jj = k_j1+1, k_jpj-1 |
---|
[3] | 365 | DO ji = 2, jpim1 |
---|
[77] | 366 | zc1v(ji,jj) = & |
---|
| 367 | + alambd(ji,jj,2,2,2,1) * zs11(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs11(ji,jj,2,2) & |
---|
| 368 | - alambd(ji,jj,2,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs11(ji,jj,1,2) & |
---|
| 369 | - alambd(ji,jj,1,1,2,1) * zs12(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs12(ji,jj,1,1) & |
---|
| 370 | + alambd(ji,jj,1,1,2,2) * zs12(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs12(ji,jj,1,2) & |
---|
| 371 | + alambd(ji,jj,1,2,1,1) * zs21(ji,jj,1,1) + alambd(ji,jj,1,2,2,1) * zs21(ji,jj,2,1) & |
---|
| 372 | + alambd(ji,jj,1,2,1,2) * zs21(ji,jj,1,2) + alambd(ji,jj,1,2,2,2) * zs21(ji,jj,2,2) & |
---|
| 373 | - alambd(ji,jj,2,1,1,1) * zs22(ji,jj,1,1) - alambd(ji,jj,2,1,2,1) * zs22(ji,jj,2,1) & |
---|
| 374 | - alambd(ji,jj,2,1,1,2) * zs22(ji,jj,1,2) - alambd(ji,jj,2,1,2,2) * zs22(ji,jj,2,2) |
---|
| 375 | zc2v(ji,jj) = & |
---|
| 376 | + alambd(ji,jj,2,2,2,1) * zs21(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs21(ji,jj,2,2) & |
---|
| 377 | - alambd(ji,jj,2,2,1,1) * zs21(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs21(ji,jj,1,2) & |
---|
| 378 | - alambd(ji,jj,1,1,2,1) * zs22(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs22(ji,jj,1,1) & |
---|
| 379 | + alambd(ji,jj,1,1,2,2) * zs22(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs22(ji,jj,1,2) & |
---|
| 380 | - alambd(ji,jj,1,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,1,2,2,1) * zs11(ji,jj,2,1) & |
---|
| 381 | - alambd(ji,jj,1,2,1,2) * zs11(ji,jj,1,2) - alambd(ji,jj,1,2,2,2) * zs11(ji,jj,2,2) & |
---|
| 382 | + alambd(ji,jj,2,1,1,1) * zs12(ji,jj,1,1) + alambd(ji,jj,2,1,2,1) * zs12(ji,jj,2,1) & |
---|
| 383 | + alambd(ji,jj,2,1,1,2) * zs12(ji,jj,1,2) + alambd(ji,jj,2,1,2,2) * zs12(ji,jj,2,2) |
---|
[3] | 384 | END DO |
---|
| 385 | END DO |
---|
| 386 | |
---|
| 387 | ! Relaxation. |
---|
| 388 | |
---|
| 389 | iflag: DO jter = 1 , nbitdr |
---|
| 390 | |
---|
| 391 | ! Store previous drift field. |
---|
[77] | 392 | DO jj = k_j1, k_jpj-1 |
---|
[3] | 393 | zu_ice(:,jj) = u_ice(:,jj) |
---|
| 394 | zv_ice(:,jj) = v_ice(:,jj) |
---|
| 395 | END DO |
---|
| 396 | |
---|
[77] | 397 | DO jj = k_j1+1, k_jpj-1 |
---|
| 398 | zsang = SIGN( 1.e0, fcor(1,jj) ) * sangvg ! only the sinus changes its sign with the hemisphere |
---|
| 399 | DO ji = 2, jpim1 |
---|
| 400 | zur = u_ice(ji,jj) - u_oce(ji,jj) |
---|
| 401 | zvr = v_ice(ji,jj) - v_oce(ji,jj) |
---|
| 402 | zmod = SQRT( zur * zur + zvr * zvr) * ( 1.0 - zfrld(ji,jj) ) |
---|
| 403 | za = rhoco * zmod |
---|
| 404 | zac = za * cangvg |
---|
[3] | 405 | zmpzas = alpha * zcorl(ji,jj) + za * zsang |
---|
| 406 | zmassdt = zusdtp * zmass(ji,jj) |
---|
| 407 | zcorlal = ( 1.0 - alpha ) * zcorl(ji,jj) |
---|
| 408 | |
---|
| 409 | za1(ji,jj) = zmassdt * zu0(ji,jj) + zcorlal * zv0(ji,jj) + za1ct(ji,jj) & |
---|
| 410 | & + za * ( cangvg * u_oce(ji,jj) - zsang * v_oce(ji,jj) ) |
---|
| 411 | |
---|
| 412 | za2(ji,jj) = zmassdt * zv0(ji,jj) - zcorlal * zu0(ji,jj) + za2ct(ji,jj) & |
---|
| 413 | & + za * ( cangvg * v_oce(ji,jj) + zsang * u_oce(ji,jj) ) |
---|
| 414 | |
---|
| 415 | zb1(ji,jj) = zmassdt + zac - zc1u(ji,jj) |
---|
| 416 | zb2(ji,jj) = zmpzas - zc2u(ji,jj) |
---|
| 417 | zc1(ji,jj) = zmpzas + zc1v(ji,jj) |
---|
| 418 | zc2(ji,jj) = zmassdt + zac - zc2v(ji,jj) |
---|
| 419 | zdeter = zc1(ji,jj) * zb2(ji,jj) + zc2(ji,jj) * zb1(ji,jj) |
---|
| 420 | zden(ji,jj) = SIGN( rone, zdeter) / MAX( epsd , ABS( zdeter ) ) |
---|
| 421 | END DO |
---|
| 422 | END DO |
---|
| 423 | |
---|
| 424 | ! The computation of ice interaction term is splitted into two parts |
---|
| 425 | !------------------------------------------------------------------------- |
---|
| 426 | |
---|
| 427 | ! Terms that do not involve already up-dated velocities. |
---|
| 428 | |
---|
[77] | 429 | DO jj = k_j1+1, k_jpj-1 |
---|
[3] | 430 | DO ji = 2, jpim1 |
---|
| 431 | iim1 = ji |
---|
| 432 | ijm1 = jj - 1 |
---|
| 433 | iip1 = ji + 1 |
---|
| 434 | ijp1 = jj |
---|
| 435 | ze11 = akappa(iim1,ijm1,1,1) * u_ice(iip1,ijp1) + akappa(iim1,ijm1,1,2) * v_ice(iip1,ijp1) |
---|
| 436 | ze12 = + akappa(iim1,ijm1,2,2) * u_ice(iip1,ijp1) - akappa(iim1,ijm1,2,1) * v_ice(iip1,ijp1) |
---|
| 437 | ze22 = + akappa(iim1,ijm1,2,2) * v_ice(iip1,ijp1) + akappa(iim1,ijm1,2,1) * u_ice(iip1,ijp1) |
---|
| 438 | ze21 = akappa(iim1,ijm1,1,1) * v_ice(iip1,ijp1) - akappa(iim1,ijm1,1,2) * u_ice(iip1,ijp1) |
---|
| 439 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 440 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 441 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 442 | zvis21 = zviseta (iim1,ijm1) |
---|
| 443 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[77] | 444 | zs11(ji,jj,2,1) = zvis11 * ze11 + zdiag |
---|
| 445 | zs12(ji,jj,2,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 446 | zs22(ji,jj,2,1) = zvis11 * ze22 + zdiag |
---|
| 447 | zs21(ji,jj,2,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 448 | |
---|
| 449 | |
---|
| 450 | iim1 = ji - 1 |
---|
| 451 | ijm1 = jj |
---|
| 452 | iip1 = ji |
---|
| 453 | ijp1 = jj + 1 |
---|
| 454 | ze11 = akappa(iim1,ijm1,1,1) * ( u_ice(iip1,ijp1) - u_ice(iim1,ijp1) ) & |
---|
| 455 | & + akappa(iim1,ijm1,1,2) * ( v_ice(iip1,ijp1) + v_ice(iim1,ijp1) ) |
---|
| 456 | ze12 = + akappa(iim1,ijm1,2,2) * ( u_ice(iim1,ijp1) + u_ice(iip1,ijp1) ) & |
---|
| 457 | & - akappa(iim1,ijm1,2,1) * ( v_ice(iim1,ijp1) + v_ice(iip1,ijp1) ) |
---|
| 458 | ze22 = + akappa(iim1,ijm1,2,2) * ( v_ice(iim1,ijp1) + v_ice(iip1,ijp1) ) & |
---|
| 459 | & + akappa(iim1,ijm1,2,1) * ( u_ice(iim1,ijp1) + u_ice(iip1,ijp1) ) |
---|
| 460 | ze21 = akappa(iim1,ijm1,1,1) * ( v_ice(iip1,ijp1) - v_ice(iim1,ijp1) ) & |
---|
| 461 | & - akappa(iim1,ijm1,1,2) * ( u_ice(iip1,ijp1) + u_ice(iim1,ijp1) ) |
---|
| 462 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 463 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 464 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 465 | zvis21 = zviseta (iim1,ijm1) |
---|
| 466 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[77] | 467 | zs11(ji,jj,1,2) = zvis11 * ze11 + zdiag |
---|
| 468 | zs12(ji,jj,1,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 469 | zs22(ji,jj,1,2) = zvis11 * ze22 + zdiag |
---|
| 470 | zs21(ji,jj,1,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 471 | |
---|
| 472 | iim1 = ji |
---|
| 473 | ijm1 = jj |
---|
| 474 | iip1 = ji + 1 |
---|
| 475 | ijp1 = jj + 1 |
---|
| 476 | ze11 = akappa(iim1,ijm1,1,1) * ( u_ice(iip1,ijm1) + u_ice(iip1,ijp1) - u_ice(iim1,ijp1) ) & |
---|
| 477 | & + akappa(iim1,ijm1,1,2) * ( v_ice(iip1,ijm1) + v_ice(iip1,ijp1) + v_ice(iim1,ijp1) ) |
---|
| 478 | ze12 = - akappa(iim1,ijm1,2,2) * ( u_ice(iip1,ijm1) - u_ice(iim1,ijp1) - u_ice(iip1,ijp1) ) & |
---|
| 479 | & - akappa(iim1,ijm1,2,1) * ( v_ice(iip1,ijm1) + v_ice(iim1,ijp1) + v_ice(iip1,ijp1) ) |
---|
| 480 | ze22 = - akappa(iim1,ijm1,2,2) * ( v_ice(iip1,ijm1) - v_ice(iim1,ijp1) - v_ice(iip1,ijp1) ) & |
---|
| 481 | & + akappa(iim1,ijm1,2,1) * ( u_ice(iip1,ijm1) + u_ice(iim1,ijp1) + u_ice(iip1,ijp1) ) |
---|
| 482 | ze21 = akappa(iim1,ijm1,1,1) * ( v_ice(iip1,ijm1) + v_ice(iip1,ijp1) - v_ice(iim1,ijp1) ) & |
---|
| 483 | & - akappa(iim1,ijm1,1,2) * ( u_ice(iip1,ijm1) + u_ice(iip1,ijp1) + u_ice(iim1,ijp1) ) |
---|
| 484 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 485 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 486 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 487 | zvis21 = zviseta (iim1,ijm1) |
---|
| 488 | |
---|
| 489 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[77] | 490 | zs11(ji,jj,2,2) = zvis11 * ze11 + zdiag |
---|
| 491 | zs12(ji,jj,2,2) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 492 | zs22(ji,jj,2,2) = zvis11 * ze22 + zdiag |
---|
| 493 | zs21(ji,jj,2,2) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 494 | |
---|
| 495 | END DO |
---|
| 496 | END DO |
---|
| 497 | |
---|
| 498 | ! Terms involving already up-dated velocities. |
---|
| 499 | !-Using the arrays zu_ice and zv_ice in the computation of the terms ze leads to JACOBI's method; |
---|
| 500 | ! Using arrays u and v in the computation of the terms ze leads to GAUSS-SEIDEL method. |
---|
| 501 | |
---|
[77] | 502 | DO jj = k_j1+1, k_jpj-1 |
---|
[3] | 503 | DO ji = 2, jpim1 |
---|
| 504 | iim1 = ji - 1 |
---|
| 505 | ijm1 = jj - 1 |
---|
| 506 | iip1 = ji |
---|
| 507 | ijp1 = jj |
---|
| 508 | ze11 = akappa(iim1,ijm1,1,1) * ( zu_ice(iip1,ijm1) - zu_ice(iim1,ijm1) - zu_ice(iim1,ijp1) ) & |
---|
| 509 | & + akappa(iim1,ijm1,1,2) * ( zv_ice(iip1,ijm1) + zv_ice(iim1,ijm1) + zv_ice(iim1,ijp1) ) |
---|
| 510 | ze12 = - akappa(iim1,ijm1,2,2) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) - zu_ice(iim1,ijp1) ) & |
---|
| 511 | & - akappa(iim1,ijm1,2,1) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) + zv_ice(iim1,ijp1) ) |
---|
| 512 | ze22 = - akappa(iim1,ijm1,2,2) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) - zv_ice(iim1,ijp1) ) & |
---|
| 513 | & + akappa(iim1,ijm1,2,1) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) + zu_ice(iim1,ijp1) ) |
---|
| 514 | ze21 = akappa(iim1,ijm1,1,1) * ( zv_ice(iip1,ijm1) - zv_ice(iim1,ijm1) - zv_ice(iim1,ijp1) ) & |
---|
| 515 | & - akappa(iim1,ijm1,1,2) * ( zu_ice(iip1,ijm1) + zu_ice(iim1,ijm1) + zu_ice(iim1,ijp1) ) |
---|
| 516 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
---|
| 517 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
---|
| 518 | zvis12 = zviseta (iim1,ijm1) + dm |
---|
| 519 | zvis21 = zviseta (iim1,ijm1) |
---|
| 520 | |
---|
| 521 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[77] | 522 | zs11(ji,jj,1,1) = zvis11 * ze11 + zdiag |
---|
| 523 | zs12(ji,jj,1,1) = zvis12 * ze12 + zvis21 * ze21 |
---|
| 524 | zs22(ji,jj,1,1) = zvis11 * ze22 + zdiag |
---|
| 525 | zs21(ji,jj,1,1) = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 526 | |
---|
| 527 | |
---|
| 528 | iim1 = ji |
---|
| 529 | ijm1 = jj - 1 |
---|
| 530 | iip1 = ji + 1 |
---|
| 531 | ze11 = akappa(iim1,ijm1,1,1) * ( zu_ice(iip1,ijm1) - zu_ice(iim1,ijm1) ) & |
---|
| 532 | & + akappa(iim1,ijm1,1,2) * ( zv_ice(iip1,ijm1) + zv_ice(iim1,ijm1) ) |
---|
| 533 | ze12 = - akappa(iim1,ijm1,2,2) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) ) & |
---|
| 534 | & - akappa(iim1,ijm1,2,1) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) ) |
---|
| 535 | ze22 = - akappa(iim1,ijm1,2,2) * ( zv_ice(iim1,ijm1) + zv_ice(iip1,ijm1) ) & |
---|
| 536 | & + akappa(iim1,ijm1,2,1) * ( zu_ice(iim1,ijm1) + zu_ice(iip1,ijm1) ) |
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| 537 | ze21 = akappa(iim1,ijm1,1,1) * ( zv_ice(iip1,ijm1) - zv_ice(iim1,ijm1) ) & |
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| 538 | & - akappa(iim1,ijm1,1,2) * ( zu_ice(iip1,ijm1) + zu_ice(iim1,ijm1) ) |
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| 539 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
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| 540 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
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| 541 | zvis12 = zviseta (iim1,ijm1) + dm |
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| 542 | zvis21 = zviseta (iim1,ijm1) |
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| 543 | |
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| 544 | zdiag = zvis22 * ( ze11 + ze22 ) |
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[77] | 545 | zs11(ji,jj,2,1) = zs11(ji,jj,2,1) + zvis11 * ze11 + zdiag |
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| 546 | zs12(ji,jj,2,1) = zs12(ji,jj,2,1) + zvis12 * ze12 + zvis21 * ze21 |
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| 547 | zs22(ji,jj,2,1) = zs22(ji,jj,2,1) + zvis11 * ze22 + zdiag |
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| 548 | zs21(ji,jj,2,1) = zs21(ji,jj,2,1) + zvis12 * ze21 + zvis21 * ze12 |
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[3] | 549 | |
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| 550 | |
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| 551 | iim1 = ji - 1 |
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| 552 | ijm1 = jj |
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| 553 | ze11 = - akappa(iim1,ijm1,1,1) * zu_ice(iim1,ijm1) + akappa(iim1,ijm1,1,2) * zv_ice(iim1,ijm1) |
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| 554 | ze12 = - akappa(iim1,ijm1,2,2) * zu_ice(iim1,ijm1) - akappa(iim1,ijm1,2,1) * zv_ice(iim1,ijm1) |
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| 555 | ze22 = - akappa(iim1,ijm1,2,2) * zv_ice(iim1,ijm1) + akappa(iim1,ijm1,2,1) * zu_ice(iim1,ijm1) |
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| 556 | ze21 = - akappa(iim1,ijm1,1,1) * zv_ice(iim1,ijm1) - akappa(iim1,ijm1,1,2) * zu_ice(iim1,ijm1) |
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| 557 | zvis11 = 2.0 * zviseta (iim1,ijm1) + dm |
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| 558 | zvis22 = zviszeta(iim1,ijm1) - zviseta(iim1,ijm1) |
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| 559 | zvis12 = zviseta (iim1,ijm1) + dm |
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| 560 | zvis21 = zviseta (iim1,ijm1) |
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| 561 | |
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| 562 | zdiag = zvis22 * ( ze11 + ze22 ) |
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[77] | 563 | zs11(ji,jj,1,2) = zs11(ji,jj,1,2) + zvis11 * ze11 + zdiag |
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| 564 | zs12(ji,jj,1,2) = zs12(ji,jj,1,2) + zvis12 * ze12 + zvis21 * ze21 |
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| 565 | zs22(ji,jj,1,2) = zs22(ji,jj,1,2) + zvis11 * ze22 + zdiag |
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| 566 | zs21(ji,jj,1,2) = zs21(ji,jj,1,2) + zvis12 * ze21 + zvis21 * ze12 |
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[3] | 567 | |
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| 568 | !i END DO |
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| 569 | !i END DO |
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| 570 | |
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[77] | 571 | !i DO jj = k_j1+1, k_jpj-1 |
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[3] | 572 | !i DO ji = 2, jpim1 |
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[77] | 573 | zd1(ji,jj) = & |
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| 574 | + alambd(ji,jj,2,2,2,1) * zs11(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs11(ji,jj,2,2) & |
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| 575 | - alambd(ji,jj,2,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs11(ji,jj,1,2) & |
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| 576 | - alambd(ji,jj,1,1,2,1) * zs12(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs12(ji,jj,1,1) & |
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| 577 | + alambd(ji,jj,1,1,2,2) * zs12(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs12(ji,jj,1,2) & |
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| 578 | + alambd(ji,jj,1,2,1,1) * zs21(ji,jj,1,1) + alambd(ji,jj,1,2,2,1) * zs21(ji,jj,2,1) & |
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| 579 | + alambd(ji,jj,1,2,1,2) * zs21(ji,jj,1,2) + alambd(ji,jj,1,2,2,2) * zs21(ji,jj,2,2) & |
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| 580 | - alambd(ji,jj,2,1,1,1) * zs22(ji,jj,1,1) - alambd(ji,jj,2,1,2,1) * zs22(ji,jj,2,1) & |
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| 581 | - alambd(ji,jj,2,1,1,2) * zs22(ji,jj,1,2) - alambd(ji,jj,2,1,2,2) * zs22(ji,jj,2,2) |
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| 582 | zd2(ji,jj) = & |
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| 583 | + alambd(ji,jj,2,2,2,1) * zs21(ji,jj,2,1) + alambd(ji,jj,2,2,2,2) * zs21(ji,jj,2,2) & |
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| 584 | - alambd(ji,jj,2,2,1,1) * zs21(ji,jj,1,1) - alambd(ji,jj,2,2,1,2) * zs21(ji,jj,1,2) & |
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| 585 | - alambd(ji,jj,1,1,2,1) * zs22(ji,jj,2,1) - alambd(ji,jj,1,1,1,1) * zs22(ji,jj,1,1) & |
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| 586 | + alambd(ji,jj,1,1,2,2) * zs22(ji,jj,2,2) + alambd(ji,jj,1,1,1,2) * zs22(ji,jj,1,2) & |
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| 587 | - alambd(ji,jj,1,2,1,1) * zs11(ji,jj,1,1) - alambd(ji,jj,1,2,2,1) * zs11(ji,jj,2,1) & |
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| 588 | - alambd(ji,jj,1,2,1,2) * zs11(ji,jj,1,2) - alambd(ji,jj,1,2,2,2) * zs11(ji,jj,2,2) & |
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| 589 | + alambd(ji,jj,2,1,1,1) * zs12(ji,jj,1,1) + alambd(ji,jj,2,1,2,1) * zs12(ji,jj,2,1) & |
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| 590 | + alambd(ji,jj,2,1,1,2) * zs12(ji,jj,1,2) + alambd(ji,jj,2,1,2,2) * zs12(ji,jj,2,2) |
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[3] | 591 | END DO |
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| 592 | END DO |
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| 593 | |
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[77] | 594 | DO jj = k_j1+1, k_jpj-1 |
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[3] | 595 | DO ji = 2, jpim1 |
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| 596 | zunw = ( ( za1(ji,jj) + zd1(ji,jj) ) * zc2(ji,jj) & |
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| 597 | & + ( za2(ji,jj) + zd2(ji,jj) ) * zc1(ji,jj) ) * zden(ji,jj) |
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| 598 | |
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| 599 | zvnw = ( ( za2(ji,jj) + zd2(ji,jj) ) * zb1(ji,jj) & |
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| 600 | & - ( za1(ji,jj) + zd1(ji,jj) ) * zb2(ji,jj) ) * zden(ji,jj) |
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| 601 | |
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| 602 | zmask = ( 1.0 - MAX( rzero, SIGN( rone , 1.0 - zmass(ji,jj) ) ) ) * tmu(ji,jj) |
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| 603 | |
---|
| 604 | u_ice(ji,jj) = ( u_ice(ji,jj) + om * ( zunw - u_ice(ji,jj) ) * tmu(ji,jj) ) * zmask |
---|
| 605 | v_ice(ji,jj) = ( v_ice(ji,jj) + om * ( zvnw - v_ice(ji,jj) ) * tmu(ji,jj) ) * zmask |
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| 606 | END DO |
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| 607 | END DO |
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| 608 | |
---|
| 609 | CALL lbc_lnk( u_ice, 'I', -1. ) |
---|
| 610 | CALL lbc_lnk( v_ice, 'I', -1. ) |
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| 611 | |
---|
| 612 | !--- 5.2.5.4. Convergence test. |
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[77] | 613 | DO jj = k_j1+1 , k_jpj-1 |
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[3] | 614 | zresr(:,jj) = MAX( ABS( u_ice(:,jj) - zu_ice(:,jj) ) , ABS( v_ice(:,jj) - zv_ice(:,jj) ) ) |
---|
| 615 | END DO |
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[77] | 616 | zresm = MAXVAL( zresr( 1:jpi , k_j1+1:k_jpj-1 ) ) |
---|
| 617 | IF( lk_mpp ) CALL mpp_max( zresm ) ! max over the global domain |
---|
[3] | 618 | |
---|
| 619 | IF ( zresm <= resl) EXIT iflag |
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| 620 | |
---|
| 621 | END DO iflag |
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| 622 | |
---|
| 623 | zindu1 = 1.0 - zindu |
---|
[77] | 624 | DO jj = k_j1 , k_jpj-1 |
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[3] | 625 | zu0(:,jj) = zindu * zu0(:,jj) + zindu1 * u_ice(:,jj) |
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| 626 | zv0(:,jj) = zindu * zv0(:,jj) + zindu1 * v_ice(:,jj) |
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| 627 | END DO |
---|
| 628 | ! ! ==================== ! |
---|
| 629 | END DO ! end loop over iter ! |
---|
| 630 | ! ! ==================== ! |
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| 631 | |
---|
[77] | 632 | IF(l_ctl) THEN |
---|
[106] | 633 | WRITE(numout,*) ' lim_rhg : res= ', zresm, 'iter= ', jter,' u_ice ', SUM( u_ice(2:nictl,2:njctl) ) , & |
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| 634 | & ' v_ice ', SUM( v_ice(2:nictl,2:njctl) ) |
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[3] | 635 | ENDIF |
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| 636 | |
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| 637 | END SUBROUTINE lim_rhg |
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[77] | 638 | |
---|
[3] | 639 | #else |
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[77] | 640 | !!---------------------------------------------------------------------- |
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| 641 | !! Default option Dummy module NO LIM sea-ice model |
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| 642 | !!---------------------------------------------------------------------- |
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[3] | 643 | CONTAINS |
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[77] | 644 | SUBROUTINE lim_rhg( k1 , k2 ) ! Dummy routine |
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| 645 | WRITE(*,*) 'lim_rhg: You should not have seen this print! error?', k1, k2 |
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[3] | 646 | END SUBROUTINE lim_rhg |
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| 647 | #endif |
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| 648 | |
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[77] | 649 | !!============================================================================== |
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[3] | 650 | END MODULE limrhg |
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