[821] | 1 | MODULE limrhg_2 |
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[3] | 2 | !!====================================================================== |
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[821] | 3 | !! *** MODULE limrhg_2 *** |
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[3] | 4 | !! Ice rheology : performs sea ice rheology |
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| 5 | !!====================================================================== |
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[2528] | 6 | !! History : 0.0 ! 1993-12 (M.A. Morales Maqueda.) Original code |
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| 7 | !! 1.0 ! 1994-12 (H. Goosse) |
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| 8 | !! 2.0 ! 2003-12 (C. Ethe, G. Madec) F90, mpp |
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| 9 | !! - ! 2006-08 (G. Madec) surface module, ice-stress at I-point |
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| 10 | !! - ! 2009-09 (G. Madec) Huge verctor optimisation |
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| 11 | !! 3.3 ! 2009-05 (G.Garric, C. Bricaud) addition of the lim2_evp case |
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[888] | 12 | !!---------------------------------------------------------------------- |
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[2528] | 13 | #if defined key_lim2 && defined key_lim2_vp |
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[3] | 14 | !!---------------------------------------------------------------------- |
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[2528] | 15 | !! 'key_lim2' AND LIM-2 sea-ice model |
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| 16 | !! 'key_lim2_vp' VP ice rheology |
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[77] | 17 | !!---------------------------------------------------------------------- |
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[821] | 18 | !! lim_rhg_2 : computes ice velocities |
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[3] | 19 | !!---------------------------------------------------------------------- |
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[888] | 20 | USE par_oce ! ocean parameter |
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[1711] | 21 | USE dom_oce ! ocean space and time domain |
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| 22 | USE sbc_oce ! surface boundary condition: ocean variables |
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[888] | 23 | USE sbc_ice ! surface boundary condition: ice variables |
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[2528] | 24 | USE dom_ice_2 ! LIM2: ice domain |
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[888] | 25 | USE phycst ! physical constant |
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[2528] | 26 | USE ice_2 ! LIM2: ice variables |
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| 27 | USE lbclnk ! lateral boundary condition - MPP exchanges |
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[888] | 28 | USE lib_mpp ! MPP library |
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[3294] | 29 | USE wrk_nemo ! work arrays |
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[888] | 30 | USE in_out_manager ! I/O manager |
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| 31 | USE prtctl ! Print control |
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[3625] | 32 | USE oce , ONLY : snwice_mass, snwice_mass_b |
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| 33 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[3680] | 34 | #if defined key_agrif |
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| 35 | USE agrif_lim2_interp ! nesting |
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| 36 | #endif |
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[3] | 37 | |
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| 38 | IMPLICIT NONE |
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| 39 | PRIVATE |
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| 40 | |
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[2715] | 41 | PUBLIC lim_rhg_2 ! routine called by lim_dyn |
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[3] | 42 | |
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[2528] | 43 | REAL(wp) :: rzero = 0._wp ! constant value: zero |
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| 44 | REAL(wp) :: rone = 1._wp ! and one |
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[888] | 45 | |
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| 46 | !! * Substitutions |
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| 47 | # include "vectopt_loop_substitute.h90" |
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[3] | 48 | !!---------------------------------------------------------------------- |
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[2528] | 49 | !! NEMO/LIM2 3.3 , UCL - NEMO Consortium (2010) |
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[1156] | 50 | !! $Id$ |
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[2528] | 51 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 52 | !!---------------------------------------------------------------------- |
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| 53 | CONTAINS |
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| 54 | |
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[821] | 55 | SUBROUTINE lim_rhg_2( k_j1, k_jpj ) |
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[3] | 56 | !!------------------------------------------------------------------- |
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[821] | 57 | !! *** SUBROUTINR lim_rhg_2 *** |
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[77] | 58 | !! |
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[12] | 59 | !! ** purpose : determines the velocity field of sea ice by using |
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| 60 | !! atmospheric (wind stress) and oceanic (water stress and surface |
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| 61 | !! tilt) forcings. Ice-ice interaction is described by a non-linear |
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[391] | 62 | !! viscous-plastic law including shear strength and a bulk rheology. |
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[3] | 63 | !! |
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[1470] | 64 | !! ** Action : - compute u_ice, v_ice the sea-ice velocity defined |
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[888] | 65 | !! at I-point |
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| 66 | !!------------------------------------------------------------------- |
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| 67 | INTEGER, INTENT(in) :: k_j1 ! southern j-index for ice computation |
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| 68 | INTEGER, INTENT(in) :: k_jpj ! northern j-index for ice computation |
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[719] | 69 | !! |
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[12] | 70 | INTEGER :: ji, jj ! dummy loop indices |
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[888] | 71 | INTEGER :: iter, jter ! temporary integers |
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| 72 | CHARACTER (len=50) :: charout |
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[2528] | 73 | REAL(wp) :: ze11 , ze12 , ze22 , ze21 ! local scalars |
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| 74 | REAL(wp) :: zt11 , zt12 , zt21 , zt22 ! - - |
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| 75 | REAL(wp) :: zvis11, zvis21, zvis12, zvis22 ! - - |
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| 76 | REAL(wp) :: zgphsx, ztagnx, zgsshx, zunw, zur, zusw ! - - |
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| 77 | REAL(wp) :: zgphsy, ztagny, zgsshy, zvnw, zvr ! - - |
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[888] | 78 | REAL(wp) :: zresm, za, zac, zmod |
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| 79 | REAL(wp) :: zmpzas, zstms, zindu, zusdtp, zmassdt, zcorlal |
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| 80 | REAL(wp) :: ztrace2, zdeter, zdelta, zmask, zdgp, zdgi, zdiag |
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| 81 | REAL(wp) :: za1, zb1, zc1, zd1 |
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| 82 | REAL(wp) :: za2, zb2, zc2, zd2, zden |
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| 83 | REAL(wp) :: zs11_11, zs11_12, zs11_21, zs11_22 |
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| 84 | REAL(wp) :: zs12_11, zs12_12, zs12_21, zs12_22 |
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| 85 | REAL(wp) :: zs21_11, zs21_12, zs21_21, zs21_22 |
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| 86 | REAL(wp) :: zs22_11, zs22_12, zs22_21, zs22_22 |
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[3625] | 87 | REAL(wp) :: zintb, zintn |
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[3294] | 88 | REAL(wp), POINTER, DIMENSION(:,:) :: zfrld, zmass, zcorl |
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| 89 | REAL(wp), POINTER, DIMENSION(:,:) :: za1ct, za2ct, zresr |
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| 90 | REAL(wp), POINTER, DIMENSION(:,:) :: zc1u, zc1v, zc2u, zc2v |
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[3625] | 91 | REAL(wp), POINTER, DIMENSION(:,:) :: zsang, zpice |
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[3294] | 92 | REAL(wp), POINTER, DIMENSION(:,:) :: zu0, zv0 |
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| 93 | REAL(wp), POINTER, DIMENSION(:,:) :: zu_n, zv_n |
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| 94 | REAL(wp), POINTER, DIMENSION(:,:) :: zu_a, zv_a |
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| 95 | REAL(wp), POINTER, DIMENSION(:,:) :: zviszeta, zviseta |
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| 96 | REAL(wp), POINTER, DIMENSION(:,:) :: zzfrld, zztms |
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| 97 | REAL(wp), POINTER, DIMENSION(:,:) :: zi1, zi2, zmasst, zpresh |
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[888] | 98 | !!------------------------------------------------------------------- |
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[3] | 99 | |
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[3294] | 100 | CALL wrk_alloc( jpi,jpj, zfrld, zmass, zcorl, za1ct, za2ct, zresr ) |
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[3625] | 101 | CALL wrk_alloc( jpi,jpj, zc1u , zc1v , zc2u , zc2v , zsang, zpice ) |
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[3294] | 102 | CALL wrk_alloc( jpi,jpj+2, zu0, zv0, zu_n, zv_n, zu_a, zv_a, zviszeta, zviseta, kjstart = 0 ) |
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| 103 | CALL wrk_alloc( jpi,jpj+2, zzfrld, zztms, zi1, zi2, zmasst, zpresh, kjstart = 0 ) |
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| 104 | |
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[77] | 105 | ! Store initial velocities |
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[888] | 106 | ! ---------------- |
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[2528] | 107 | zztms(:,0 ) = 0._wp ; zzfrld(:,0 ) = 0._wp |
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| 108 | zztms(:,jpj+1) = 0._wp ; zzfrld(:,jpj+1) = 0._wp |
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| 109 | zu0 (:,0 ) = 0._wp ; zv0 (:,0 ) = 0._wp |
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| 110 | zu0 (:,jpj+1) = 0._wp ; zv0 (:,jpj+1) = 0._wp |
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| 111 | zztms(:,1:jpj) = tms (:,:) ; zzfrld(:,1:jpj) = frld (:,:) |
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| 112 | zu0 (:,1:jpj) = u_ice(:,:) ; zv0 (:,1:jpj) = v_ice(:,:) |
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| 113 | zu_a (:, : ) = zu0 (:,:) ; zv_a (:, : ) = zv0 (:,:) |
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| 114 | zu_n (:, : ) = zu0 (:,:) ; zv_n (:, : ) = zv0 (:,:) |
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[3] | 115 | |
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[888] | 116 | !i |
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[2528] | 117 | zi1 (:,:) = 0._wp |
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| 118 | zi2 (:,:) = 0._wp |
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| 119 | zpresh(:,:) = 0._wp |
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| 120 | zmasst(:,:) = 0._wp |
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[888] | 121 | !i |
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| 122 | !!gm violant |
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[2528] | 123 | zfrld(:,:) =0._wp |
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| 124 | zcorl(:,:) =0._wp |
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| 125 | zmass(:,:) =0._wp |
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| 126 | za1ct(:,:) =0._wp |
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| 127 | za2ct(:,:) =0._wp |
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[888] | 128 | !!gm end |
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| 129 | |
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[2528] | 130 | zviszeta(:,:) = 0._wp |
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| 131 | zviseta (:,:) = 0._wp |
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[888] | 132 | |
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[2528] | 133 | !i zviszeta(:,0 ) = 0._wp ; zviseta(:,0 ) = 0._wp |
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| 134 | !i zviszeta(:,jpj ) = 0._wp ; zviseta(:,jpj ) = 0._wp |
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| 135 | !i zviszeta(:,jpj+1) = 0._wp ; zviseta(:,jpj+1) = 0._wp |
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[888] | 136 | |
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[3625] | 137 | IF( nn_ice_embd == 2 ) THEN !== embedded sea ice: compute representative ice top surface ==! |
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| 138 | ! |
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| 139 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[n/nn_fsbc], n=0,nn_fsbc-1} |
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| 140 | ! = (1/nn_fsbc)^2 * {SUM[n], n=0,nn_fsbc-1} |
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| 141 | zintn = REAL( nn_fsbc - 1 ) / REAL( nn_fsbc ) * 0.5_wp |
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| 142 | ! |
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| 143 | ! average interpolation coeff as used in dynspg = (1/nn_fsbc) * {SUM[1-n/nn_fsbc], n=0,nn_fsbc-1} |
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| 144 | ! = (1/nn_fsbc)^2 * (nn_fsbc^2 - {SUM[n], n=0,nn_fsbc-1}) |
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| 145 | zintb = REAL( nn_fsbc + 1 ) / REAL( nn_fsbc ) * 0.5_wp |
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| 146 | ! |
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| 147 | zpice(:,:) = ssh_m(:,:) + ( zintn * snwice_mass(:,:) + zintb * snwice_mass_b(:,:) ) * r1_rau0 |
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| 148 | ! |
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| 149 | ! |
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| 150 | ELSE !== non-embedded sea ice: use ocean surface for slope calculation ==! |
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| 151 | zpice(:,:) = ssh_m(:,:) |
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| 152 | ENDIF |
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[3680] | 153 | #if defined key_agrif |
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| 154 | ! load the boundary value of velocity in special array zuive and zvice |
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| 155 | CALL agrif_rhg_lim2_load |
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| 156 | #endif |
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[888] | 157 | |
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[717] | 158 | ! Ice mass, ice strength, and wind stress at the center | |
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| 159 | ! of the grid squares. | |
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[77] | 160 | !------------------------------------------------------------------- |
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[3] | 161 | |
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[77] | 162 | DO jj = k_j1 , k_jpj-1 |
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[3] | 163 | DO ji = 1 , jpi |
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[888] | 164 | ! only the sinus changes its sign with the hemisphere |
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[7421] | 165 | zsang(ji,jj) = SIGN( 1._wp, ff_t(ji,jj) ) * sangvg ! only the sinus changes its sign with the hemisphere |
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[888] | 166 | ! |
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| 167 | zmasst(ji,jj) = tms(ji,jj) * ( rhosn * hsnm(ji,jj) + rhoic * hicm(ji,jj) ) |
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[3] | 168 | zpresh(ji,jj) = tms(ji,jj) * pstarh * hicm(ji,jj) * EXP( -c_rhg * frld(ji,jj) ) |
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[888] | 169 | !!gm :: stress given at I-point (F-point for the ocean) only compute the ponderation with the ice fraction (1-frld) |
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[2528] | 170 | zi1(ji,jj) = tms(ji,jj) * ( 1._wp - frld(ji,jj) ) |
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| 171 | zi2(ji,jj) = tms(ji,jj) * ( 1._wp - frld(ji,jj) ) |
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[3] | 172 | END DO |
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| 173 | END DO |
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| 174 | |
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[717] | 175 | |
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[3] | 176 | !--------------------------------------------------------------------------- |
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[717] | 177 | ! Wind stress, coriolis and mass terms at the corners of the grid squares | |
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| 178 | ! Gradient of ice strenght. | |
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| 179 | !--------------------------------------------------------------------------- |
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[3] | 180 | |
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[77] | 181 | DO jj = k_j1+1, k_jpj-1 |
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[1774] | 182 | DO ji = 2, jpi ! NO vector opt. |
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[888] | 183 | zstms = zztms(ji,jj ) * wght(ji,jj,2,2) + zztms(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 184 | & + zztms(ji,jj-1) * wght(ji,jj,2,1) + zztms(ji-1,jj-1) * wght(ji,jj,1,1) |
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[2528] | 185 | zusw = 1._wp / MAX( zstms, epsd ) |
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[3] | 186 | |
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[888] | 187 | zt11 = zztms(ji ,jj ) * zzfrld(ji ,jj ) |
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| 188 | zt12 = zztms(ji-1,jj ) * zzfrld(ji-1,jj ) |
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| 189 | zt21 = zztms(ji ,jj-1) * zzfrld(ji ,jj-1) |
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| 190 | zt22 = zztms(ji-1,jj-1) * zzfrld(ji-1,jj-1) |
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[3] | 191 | |
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[717] | 192 | ! Leads area. |
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| 193 | zfrld(ji,jj) = ( zt11 * wght(ji,jj,2,2) + zt12 * wght(ji,jj,1,2) & |
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| 194 | & + zt21 * wght(ji,jj,2,1) + zt22 * wght(ji,jj,1,1) ) * zusw |
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[3] | 195 | |
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[888] | 196 | ! Mass and coriolis coeff. at I-point |
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| 197 | zmass(ji,jj) = ( zmasst(ji,jj ) * wght(ji,jj,2,2) + zmasst(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 198 | & + zmasst(ji,jj-1) * wght(ji,jj,2,1) + zmasst(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw |
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[1569] | 199 | zcorl(ji,jj) = zmass(ji,jj) & |
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[7421] | 200 | & *( ff_t(ji,jj ) * wght(ji,jj,2,2) + ff_t(ji-1,jj )*wght(ji,jj,1,2) & |
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| 201 | & + ff_t(ji,jj-1) * wght(ji,jj,2,1) + ff_t(ji-1,jj-1)*wght(ji,jj,1,1) ) * zusw |
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[717] | 202 | |
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[700] | 203 | ! Wind stress. |
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[1469] | 204 | ! always provide stress at I-point |
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[888] | 205 | ztagnx = ( zi1(ji,jj ) * wght(ji,jj,2,2) + zi1(ji-1,jj ) * wght(ji,jj,1,2) & |
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[1469] | 206 | & + zi1(ji,jj-1) * wght(ji,jj,2,1) + zi1(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw * utau_ice(ji,jj) |
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[888] | 207 | ztagny = ( zi2(ji,jj ) * wght(ji,jj,2,2) + zi2(ji-1,jj ) * wght(ji,jj,1,2) & |
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[1469] | 208 | & + zi2(ji,jj-1) * wght(ji,jj,2,1) + zi2(ji-1,jj-1) * wght(ji,jj,1,1) ) * zusw * vtau_ice(ji,jj) |
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[700] | 209 | |
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[3] | 210 | ! Gradient of ice strength |
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| 211 | zgphsx = ( alambd(ji,jj,2,2,2,1) - alambd(ji,jj,2,1,2,1) ) * zpresh(ji ,jj-1) & |
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| 212 | & + ( alambd(ji,jj,2,2,2,2) - alambd(ji,jj,2,1,2,2) ) * zpresh(ji ,jj ) & |
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| 213 | & - ( alambd(ji,jj,2,2,1,1) + alambd(ji,jj,2,1,1,1) ) * zpresh(ji-1,jj-1) & |
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| 214 | & - ( alambd(ji,jj,2,2,1,2) + alambd(ji,jj,2,1,1,2) ) * zpresh(ji-1,jj ) |
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| 215 | |
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| 216 | zgphsy = - ( alambd(ji,jj,1,1,2,1) + alambd(ji,jj,1,2,2,1) ) * zpresh(ji ,jj-1) & |
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| 217 | & - ( alambd(ji,jj,1,1,1,1) + alambd(ji,jj,1,2,1,1) ) * zpresh(ji-1,jj-1) & |
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| 218 | & + ( alambd(ji,jj,1,1,2,2) - alambd(ji,jj,1,2,2,2) ) * zpresh(ji ,jj ) & |
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| 219 | & + ( alambd(ji,jj,1,1,1,2) - alambd(ji,jj,1,2,1,2) ) * zpresh(ji-1,jj ) |
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| 220 | |
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[1711] | 221 | ! Gradient of the sea surface height |
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[3625] | 222 | zgsshx = ( (zpice(ji ,jj ) - zpice(ji-1,jj ))/e1u(ji-1,jj ) & |
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| 223 | & + (zpice(ji ,jj-1) - zpice(ji-1,jj-1))/e1u(ji-1,jj-1) ) * 0.5_wp |
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| 224 | zgsshy = ( (zpice(ji ,jj ) - zpice(ji ,jj-1))/e2v(ji ,jj-1) & |
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| 225 | & + (zpice(ji-1,jj ) - zpice(ji-1,jj-1))/e2v(ji-1,jj-1) ) * 0.5_wp |
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[1711] | 226 | |
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[3] | 227 | ! Computation of the velocity field taking into account the ice-ice interaction. |
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[888] | 228 | ! Terms that are independent of the ice velocity field. |
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[1711] | 229 | za1ct(ji,jj) = ztagnx - zmass(ji,jj) * grav * zgsshx - zgphsx |
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| 230 | za2ct(ji,jj) = ztagny - zmass(ji,jj) * grav * zgsshy - zgphsy |
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[3] | 231 | END DO |
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| 232 | END DO |
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| 233 | |
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| 234 | |
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| 235 | ! SOLUTION OF THE MOMENTUM EQUATION. |
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| 236 | !------------------------------------------ |
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| 237 | ! ! ==================== ! |
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| 238 | DO iter = 1 , 2 * nbiter ! loop over iter ! |
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| 239 | ! ! ==================== ! |
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| 240 | zindu = MOD( iter , 2 ) |
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[2528] | 241 | zusdtp = ( zindu * 2._wp + ( 1._wp - zindu ) * 1._wp ) * REAL( nbiter ) / rdt_ice |
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[3] | 242 | |
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| 243 | ! Computation of free drift field for free slip boundary conditions. |
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| 244 | |
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[888] | 245 | DO jj = k_j1, k_jpj-1 |
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| 246 | DO ji = 1, fs_jpim1 |
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| 247 | !- Rate of strain tensor. |
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| 248 | zt11 = akappa(ji,jj,1,1) * ( zu_a(ji+1,jj) + zu_a(ji+1,jj+1) - zu_a(ji,jj ) - zu_a(ji ,jj+1) ) & |
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| 249 | & + akappa(ji,jj,1,2) * ( zv_a(ji+1,jj) + zv_a(ji+1,jj+1) + zv_a(ji,jj ) + zv_a(ji ,jj+1) ) |
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| 250 | zt12 = - akappa(ji,jj,2,2) * ( zu_a(ji ,jj) + zu_a(ji+1,jj ) - zu_a(ji,jj+1) - zu_a(ji+1,jj+1) ) & |
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| 251 | & - akappa(ji,jj,2,1) * ( zv_a(ji ,jj) + zv_a(ji+1,jj ) + zv_a(ji,jj+1) + zv_a(ji+1,jj+1) ) |
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| 252 | zt22 = - akappa(ji,jj,2,2) * ( zv_a(ji ,jj) + zv_a(ji+1,jj ) - zv_a(ji,jj+1) - zv_a(ji+1,jj+1) ) & |
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| 253 | & + akappa(ji,jj,2,1) * ( zu_a(ji ,jj) + zu_a(ji+1,jj ) + zu_a(ji,jj+1) + zu_a(ji+1,jj+1) ) |
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| 254 | zt21 = akappa(ji,jj,1,1) * ( zv_a(ji+1,jj) + zv_a(ji+1,jj+1) - zv_a(ji,jj ) - zv_a(ji ,jj+1) ) & |
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| 255 | & - akappa(ji,jj,1,2) * ( zu_a(ji+1,jj) + zu_a(ji+1,jj+1) + zu_a(ji,jj ) + zu_a(ji ,jj+1) ) |
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[3] | 256 | |
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[888] | 257 | !- Rate of strain tensor. |
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| 258 | zdgp = zt11 + zt22 |
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| 259 | zdgi = zt12 + zt21 |
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| 260 | ztrace2 = zdgp * zdgp |
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[2528] | 261 | zdeter = zt11 * zt22 - 0.25_wp * zdgi * zdgi |
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[3] | 262 | |
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[888] | 263 | ! Creep limit depends on the size of the grid. |
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[5123] | 264 | zdelta = MAX( SQRT( ztrace2 + ( ztrace2 - 4._wp * zdeter ) * usecc2 ), rn_creepl) |
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[3] | 265 | |
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[888] | 266 | !- Computation of viscosities. |
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| 267 | zviszeta(ji,jj) = MAX( zpresh(ji,jj) / zdelta, etamn ) |
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| 268 | zviseta (ji,jj) = zviszeta(ji,jj) * usecc2 |
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| 269 | END DO |
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| 270 | END DO |
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[3] | 271 | |
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[888] | 272 | !- Determination of zc1u, zc2u, zc1v and zc2v. |
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| 273 | DO jj = k_j1+1, k_jpj-1 |
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[1347] | 274 | DO ji = 2, fs_jpim1 ! NO vector opt. |
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[888] | 275 | !* zc1u , zc2v |
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[2528] | 276 | zvis11 = 2._wp * zviseta (ji-1,jj-1) + dm |
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| 277 | zvis12 = zviseta (ji-1,jj-1) + dm |
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| 278 | zvis21 = zviseta (ji-1,jj-1) |
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| 279 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
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[888] | 280 | zdiag = zvis22 * ( akappa(ji-1,jj-1,1,1) + akappa(ji-1,jj-1,2,1) ) |
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| 281 | zs11_11 = zvis11 * akappa(ji-1,jj-1,1,1) + zdiag |
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| 282 | zs12_11 = zvis12 * akappa(ji-1,jj-1,2,2) - zvis21 * akappa(ji-1,jj-1,1,2) |
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| 283 | zs21_11 = -zvis12 * akappa(ji-1,jj-1,1,2) + zvis21 * akappa(ji-1,jj-1,2,2) |
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| 284 | zs22_11 = zvis11 * akappa(ji-1,jj-1,2,1) + zdiag |
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[3] | 285 | |
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[2528] | 286 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
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| 287 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
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| 288 | zvis12 = zviseta (ji,jj-1) + dm |
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| 289 | zvis21 = zviseta (ji,jj-1) |
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[888] | 290 | zdiag = zvis22 * ( -akappa(ji,jj-1,1,1) + akappa(ji,jj-1,2,1) ) |
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| 291 | zs11_21 = -zvis11 * akappa(ji,jj-1,1,1) + zdiag |
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| 292 | zs12_21 = zvis12 * akappa(ji,jj-1,2,2) - zvis21 * akappa(ji,jj-1,1,2) |
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| 293 | zs22_21 = zvis11 * akappa(ji,jj-1,2,1) + zdiag |
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| 294 | zs21_21 = -zvis12 * akappa(ji,jj-1,1,2) + zvis21 * akappa(ji,jj-1,2,2) |
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[3] | 295 | |
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[2528] | 296 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
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| 297 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
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| 298 | zvis12 = zviseta (ji-1,jj) + dm |
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| 299 | zvis21 = zviseta (ji-1,jj) |
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| 300 | zdiag = zvis22 * ( akappa(ji-1,jj,1,1) + akappa(ji-1,jj,2,1) ) |
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[888] | 301 | zs11_12 = zvis11 * akappa(ji-1,jj,1,1) + zdiag |
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| 302 | zs12_12 = -zvis12 * akappa(ji-1,jj,2,2) - zvis21 * akappa(ji-1,jj,1,2) |
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| 303 | zs22_12 = zvis11 * akappa(ji-1,jj,2,1) + zdiag |
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| 304 | zs21_12 = -zvis12 * akappa(ji-1,jj,1,2) - zvis21 * akappa(ji-1,jj,2,2) |
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[3] | 305 | |
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[2528] | 306 | zvis11 = 2._wp * zviseta (ji,jj) + dm |
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| 307 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
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| 308 | zvis12 = zviseta (ji,jj) + dm |
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| 309 | zvis21 = zviseta (ji,jj) |
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[888] | 310 | zdiag = zvis22 * ( -akappa(ji,jj,1,1) + akappa(ji,jj,2,1) ) |
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| 311 | zs11_22 = -zvis11 * akappa(ji,jj,1,1) + zdiag |
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| 312 | zs12_22 = -zvis12 * akappa(ji,jj,2,2) - zvis21 * akappa(ji,jj,1,2) |
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| 313 | zs22_22 = zvis11 * akappa(ji,jj,2,1) + zdiag |
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| 314 | zs21_22 = -zvis12 * akappa(ji,jj,1,2) - zvis21 * akappa(ji,jj,2,2) |
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[3] | 315 | |
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[888] | 316 | zc1u(ji,jj) = + alambd(ji,jj,2,2,2,1) * zs11_21 + alambd(ji,jj,2,2,2,2) * zs11_22 & |
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| 317 | & - alambd(ji,jj,2,2,1,1) * zs11_11 - alambd(ji,jj,2,2,1,2) * zs11_12 & |
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| 318 | & - alambd(ji,jj,1,1,2,1) * zs12_21 - alambd(ji,jj,1,1,1,1) * zs12_11 & |
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| 319 | & + alambd(ji,jj,1,1,2,2) * zs12_22 + alambd(ji,jj,1,1,1,2) * zs12_12 & |
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| 320 | & + alambd(ji,jj,1,2,1,1) * zs21_11 + alambd(ji,jj,1,2,2,1) * zs21_21 & |
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| 321 | & + alambd(ji,jj,1,2,1,2) * zs21_12 + alambd(ji,jj,1,2,2,2) * zs21_22 & |
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| 322 | & - alambd(ji,jj,2,1,1,1) * zs22_11 - alambd(ji,jj,2,1,2,1) * zs22_21 & |
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| 323 | & - alambd(ji,jj,2,1,1,2) * zs22_12 - alambd(ji,jj,2,1,2,2) * zs22_22 |
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[3] | 324 | |
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[888] | 325 | zc2u(ji,jj) = + alambd(ji,jj,2,2,2,1) * zs21_21 + alambd(ji,jj,2,2,2,2) * zs21_22 & |
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| 326 | & - alambd(ji,jj,2,2,1,1) * zs21_11 - alambd(ji,jj,2,2,1,2) * zs21_12 & |
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| 327 | & - alambd(ji,jj,1,1,2,1) * zs22_21 - alambd(ji,jj,1,1,1,1) * zs22_11 & |
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| 328 | & + alambd(ji,jj,1,1,2,2) * zs22_22 + alambd(ji,jj,1,1,1,2) * zs22_12 & |
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| 329 | & - alambd(ji,jj,1,2,1,1) * zs11_11 - alambd(ji,jj,1,2,2,1) * zs11_21 & |
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| 330 | & - alambd(ji,jj,1,2,1,2) * zs11_12 - alambd(ji,jj,1,2,2,2) * zs11_22 & |
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| 331 | & + alambd(ji,jj,2,1,1,1) * zs12_11 + alambd(ji,jj,2,1,2,1) * zs12_21 & |
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| 332 | & + alambd(ji,jj,2,1,1,2) * zs12_12 + alambd(ji,jj,2,1,2,2) * zs12_22 |
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[3] | 333 | |
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[888] | 334 | !* zc1v , zc2v. |
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[2528] | 335 | zvis11 = 2._wp * zviseta (ji-1,jj-1) + dm |
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| 336 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
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| 337 | zvis12 = zviseta (ji-1,jj-1) + dm |
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| 338 | zvis21 = zviseta (ji-1,jj-1) |
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[888] | 339 | zdiag = zvis22 * ( akappa(ji-1,jj-1,1,2) + akappa(ji-1,jj-1,2,2) ) |
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| 340 | zs11_11 = zvis11 * akappa(ji-1,jj-1,1,2) + zdiag |
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| 341 | zs12_11 = -zvis12 * akappa(ji-1,jj-1,2,1) + zvis21 * akappa(ji-1,jj-1,1,1) |
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| 342 | zs22_11 = zvis11 * akappa(ji-1,jj-1,2,2) + zdiag |
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| 343 | zs21_11 = zvis12 * akappa(ji-1,jj-1,1,1) - zvis21 * akappa(ji-1,jj-1,2,1) |
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[3] | 344 | |
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[2528] | 345 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
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| 346 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
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| 347 | zvis12 = zviseta (ji,jj-1) + dm |
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| 348 | zvis21 = zviseta (ji,jj-1) |
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[888] | 349 | zdiag = zvis22 * ( akappa(ji,jj-1,1,2) + akappa(ji,jj-1,2,2) ) |
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| 350 | zs11_21 = zvis11 * akappa(ji,jj-1,1,2) + zdiag |
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| 351 | zs12_21 = -zvis12 * akappa(ji,jj-1,2,1) - zvis21 * akappa(ji,jj-1,1,1) |
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| 352 | zs22_21 = zvis11 * akappa(ji,jj-1,2,2) + zdiag |
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| 353 | zs21_21 = -zvis12 * akappa(ji,jj-1,1,1) - zvis21 * akappa(ji,jj-1,2,1) |
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[3] | 354 | |
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[2528] | 355 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
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| 356 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
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| 357 | zvis12 = zviseta (ji-1,jj) + dm |
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| 358 | zvis21 = zviseta (ji-1,jj) |
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[888] | 359 | zdiag = zvis22 * ( akappa(ji-1,jj,1,2) - akappa(ji-1,jj,2,2) ) |
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| 360 | zs11_12 = zvis11 * akappa(ji-1,jj,1,2) + zdiag |
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| 361 | zs12_12 = -zvis12 * akappa(ji-1,jj,2,1) + zvis21 * akappa(ji-1,jj,1,1) |
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| 362 | zs22_12 = -zvis11 * akappa(ji-1,jj,2,2) + zdiag |
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| 363 | zs21_12 = zvis12 * akappa(ji-1,jj,1,1) - zvis21 * akappa(ji-1,jj,2,1) |
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[3] | 364 | |
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[2528] | 365 | zvis11 = 2._wp * zviseta (ji,jj) + dm |
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| 366 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
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| 367 | zvis12 = zviseta (ji,jj) + dm |
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| 368 | zvis21 = zviseta (ji,jj) |
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[888] | 369 | zdiag = zvis22 * ( akappa(ji,jj,1,2) - akappa(ji,jj,2,2) ) |
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| 370 | zs11_22 = zvis11 * akappa(ji,jj,1,2) + zdiag |
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| 371 | zs12_22 = -zvis12 * akappa(ji,jj,2,1) - zvis21 * akappa(ji,jj,1,1) |
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| 372 | zs22_22 = -zvis11 * akappa(ji,jj,2,2) + zdiag |
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| 373 | zs21_22 = -zvis12 * akappa(ji,jj,1,1) - zvis21 * akappa(ji,jj,2,1) |
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[3] | 374 | |
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[888] | 375 | zc1v(ji,jj) = + alambd(ji,jj,2,2,2,1) * zs11_21 + alambd(ji,jj,2,2,2,2) * zs11_22 & |
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| 376 | & - alambd(ji,jj,2,2,1,1) * zs11_11 - alambd(ji,jj,2,2,1,2) * zs11_12 & |
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| 377 | & - alambd(ji,jj,1,1,2,1) * zs12_21 - alambd(ji,jj,1,1,1,1) * zs12_11 & |
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| 378 | & + alambd(ji,jj,1,1,2,2) * zs12_22 + alambd(ji,jj,1,1,1,2) * zs12_12 & |
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| 379 | & + alambd(ji,jj,1,2,1,1) * zs21_11 + alambd(ji,jj,1,2,2,1) * zs21_21 & |
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| 380 | & + alambd(ji,jj,1,2,1,2) * zs21_12 + alambd(ji,jj,1,2,2,2) * zs21_22 & |
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| 381 | & - alambd(ji,jj,2,1,1,1) * zs22_11 - alambd(ji,jj,2,1,2,1) * zs22_21 & |
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| 382 | & - alambd(ji,jj,2,1,1,2) * zs22_12 - alambd(ji,jj,2,1,2,2) * zs22_22 |
---|
[3] | 383 | |
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[888] | 384 | zc2v(ji,jj) = + alambd(ji,jj,2,2,2,1) * zs21_21 + alambd(ji,jj,2,2,2,2) * zs21_22 & |
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| 385 | & - alambd(ji,jj,2,2,1,1) * zs21_11 - alambd(ji,jj,2,2,1,2) * zs21_12 & |
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| 386 | & - alambd(ji,jj,1,1,2,1) * zs22_21 - alambd(ji,jj,1,1,1,1) * zs22_11 & |
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| 387 | & + alambd(ji,jj,1,1,2,2) * zs22_22 + alambd(ji,jj,1,1,1,2) * zs22_12 & |
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| 388 | & - alambd(ji,jj,1,2,1,1) * zs11_11 - alambd(ji,jj,1,2,2,1) * zs11_21 & |
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| 389 | & - alambd(ji,jj,1,2,1,2) * zs11_12 - alambd(ji,jj,1,2,2,2) * zs11_22 & |
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| 390 | & + alambd(ji,jj,2,1,1,1) * zs12_11 + alambd(ji,jj,2,1,2,1) * zs12_21 & |
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| 391 | & + alambd(ji,jj,2,1,1,2) * zs12_12 + alambd(ji,jj,2,1,2,2) * zs12_22 |
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[3] | 392 | END DO |
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[888] | 393 | END DO |
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[3] | 394 | |
---|
[888] | 395 | ! GAUSS-SEIDEL method |
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| 396 | ! ! ================ ! |
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| 397 | iflag: DO jter = 1 , nbitdr ! Relaxation ! |
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| 398 | ! ! ================ ! |
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[77] | 399 | DO jj = k_j1+1, k_jpj-1 |
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[1347] | 400 | DO ji = 2, fs_jpim1 ! NO vector opt. |
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[888] | 401 | ! |
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| 402 | ze11 = akappa(ji,jj-1,1,1) * zu_a(ji+1,jj) + akappa(ji,jj-1,1,2) * zv_a(ji+1,jj) |
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| 403 | ze12 = + akappa(ji,jj-1,2,2) * zu_a(ji+1,jj) - akappa(ji,jj-1,2,1) * zv_a(ji+1,jj) |
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| 404 | ze22 = + akappa(ji,jj-1,2,2) * zv_a(ji+1,jj) + akappa(ji,jj-1,2,1) * zu_a(ji+1,jj) |
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| 405 | ze21 = akappa(ji,jj-1,1,1) * zv_a(ji+1,jj) - akappa(ji,jj-1,1,2) * zu_a(ji+1,jj) |
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[2528] | 406 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
---|
| 407 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
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| 408 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 409 | zvis21 = zviseta (ji,jj-1) |
---|
[3] | 410 | zdiag = zvis22 * ( ze11 + ze22 ) |
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[888] | 411 | zs11_21 = zvis11 * ze11 + zdiag |
---|
| 412 | zs12_21 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 413 | zs22_21 = zvis11 * ze22 + zdiag |
---|
| 414 | zs21_21 = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 415 | |
---|
[888] | 416 | ze11 = akappa(ji-1,jj,1,1) * ( zu_a(ji ,jj+1) - zu_a(ji-1,jj+1) ) & |
---|
| 417 | & + akappa(ji-1,jj,1,2) * ( zv_a(ji ,jj+1) + zv_a(ji-1,jj+1) ) |
---|
| 418 | ze12 = + akappa(ji-1,jj,2,2) * ( zu_a(ji-1,jj+1) + zu_a(ji ,jj+1) ) & |
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| 419 | & - akappa(ji-1,jj,2,1) * ( zv_a(ji-1,jj+1) + zv_a(ji ,jj+1) ) |
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| 420 | ze22 = + akappa(ji-1,jj,2,2) * ( zv_a(ji-1,jj+1) + zv_a(ji ,jj+1) ) & |
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| 421 | & + akappa(ji-1,jj,2,1) * ( zu_a(ji-1,jj+1) + zu_a(ji ,jj+1) ) |
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| 422 | ze21 = akappa(ji-1,jj,1,1) * ( zv_a(ji ,jj+1) - zv_a(ji-1,jj+1) ) & |
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| 423 | & - akappa(ji-1,jj,1,2) * ( zu_a(ji ,jj+1) + zu_a(ji-1,jj+1) ) |
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[2528] | 424 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
---|
| 425 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
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| 426 | zvis12 = zviseta (ji-1,jj) + dm |
---|
| 427 | zvis21 = zviseta (ji-1,jj) |
---|
[3] | 428 | zdiag = zvis22 * ( ze11 + ze22 ) |
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[888] | 429 | zs11_12 = zvis11 * ze11 + zdiag |
---|
| 430 | zs12_12 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 431 | zs22_12 = zvis11 * ze22 + zdiag |
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| 432 | zs21_12 = zvis12 * ze21 + zvis21 * ze12 |
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[3] | 433 | |
---|
[888] | 434 | ze11 = akappa(ji,jj,1,1) * ( zu_a(ji+1,jj) + zu_a(ji+1,jj+1) - zu_a(ji ,jj+1) ) & |
---|
| 435 | & + akappa(ji,jj,1,2) * ( zv_a(ji+1,jj) + zv_a(ji+1,jj+1) + zv_a(ji ,jj+1) ) |
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| 436 | ze12 = - akappa(ji,jj,2,2) * ( zu_a(ji+1,jj) - zu_a(ji ,jj+1) - zu_a(ji+1,jj+1) ) & |
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| 437 | & - akappa(ji,jj,2,1) * ( zv_a(ji+1,jj) + zv_a(ji ,jj+1) + zv_a(ji+1,jj+1) ) |
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| 438 | ze22 = - akappa(ji,jj,2,2) * ( zv_a(ji+1,jj) - zv_a(ji ,jj+1) - zv_a(ji+1,jj+1) ) & |
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| 439 | & + akappa(ji,jj,2,1) * ( zu_a(ji+1,jj) + zu_a(ji ,jj+1) + zu_a(ji+1,jj+1) ) |
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| 440 | ze21 = akappa(ji,jj,1,1) * ( zv_a(ji+1,jj) + zv_a(ji+1,jj+1) - zv_a(ji ,jj+1) ) & |
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| 441 | & - akappa(ji,jj,1,2) * ( zu_a(ji+1,jj) + zu_a(ji+1,jj+1) + zu_a(ji ,jj+1) ) |
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[2528] | 442 | zvis11 = 2._wp * zviseta (ji,jj) + dm |
---|
| 443 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
---|
| 444 | zvis12 = zviseta (ji,jj) + dm |
---|
| 445 | zvis21 = zviseta (ji,jj) |
---|
[3] | 446 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 447 | zs11_22 = zvis11 * ze11 + zdiag |
---|
| 448 | zs12_22 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 449 | zs22_22 = zvis11 * ze22 + zdiag |
---|
| 450 | zs21_22 = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 451 | |
---|
[888] | 452 | ! 2nd part |
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| 453 | ze11 = akappa(ji-1,jj-1,1,1) * ( zu_a(ji ,jj-1) - zu_a(ji-1,jj-1) - zu_a(ji-1,jj) ) & |
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| 454 | & + akappa(ji-1,jj-1,1,2) * ( zv_a(ji ,jj-1) + zv_a(ji-1,jj-1) + zv_a(ji-1,jj) ) |
---|
| 455 | ze12 = - akappa(ji-1,jj-1,2,2) * ( zu_a(ji-1,jj-1) + zu_a(ji ,jj-1) - zu_a(ji-1,jj) ) & |
---|
| 456 | & - akappa(ji-1,jj-1,2,1) * ( zv_a(ji-1,jj-1) + zv_a(ji ,jj-1) + zv_a(ji-1,jj) ) |
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| 457 | ze22 = - akappa(ji-1,jj-1,2,2) * ( zv_a(ji-1,jj-1) + zv_a(ji ,jj-1) - zv_a(ji-1,jj) ) & |
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| 458 | & + akappa(ji-1,jj-1,2,1) * ( zu_a(ji-1,jj-1) + zu_a(ji ,jj-1) + zu_a(ji-1,jj) ) |
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| 459 | ze21 = akappa(ji-1,jj-1,1,1) * ( zv_a(ji ,jj-1) - zv_a(ji-1,jj-1) - zv_a(ji-1,jj) ) & |
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| 460 | & - akappa(ji-1,jj-1,1,2) * ( zu_a(ji ,jj-1) + zu_a(ji-1,jj-1) + zu_a(ji-1,jj) ) |
---|
[2528] | 461 | zvis11 = 2._wp * zviseta (ji-1,jj-1) + dm |
---|
| 462 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
---|
| 463 | zvis12 = zviseta (ji-1,jj-1) + dm |
---|
| 464 | zvis21 = zviseta (ji-1,jj-1) |
---|
[3] | 465 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 466 | zs11_11 = zvis11 * ze11 + zdiag |
---|
| 467 | zs12_11 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 468 | zs22_11 = zvis11 * ze22 + zdiag |
---|
| 469 | zs21_11 = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 470 | |
---|
[888] | 471 | ze11 = akappa(ji,jj-1,1,1) * ( zu_a(ji+1,jj-1) - zu_a(ji ,jj-1) ) & |
---|
| 472 | & + akappa(ji,jj-1,1,2) * ( zv_a(ji+1,jj-1) + zv_a(ji ,jj-1) ) |
---|
| 473 | ze12 = - akappa(ji,jj-1,2,2) * ( zu_a(ji ,jj-1) + zu_a(ji+1,jj-1) ) & |
---|
| 474 | & - akappa(ji,jj-1,2,1) * ( zv_a(ji ,jj-1) + zv_a(ji+1,jj-1) ) |
---|
| 475 | ze22 = - akappa(ji,jj-1,2,2) * ( zv_a(ji ,jj-1) + zv_a(ji+1,jj-1) ) & |
---|
| 476 | & + akappa(ji,jj-1,2,1) * ( zu_a(ji ,jj-1) + zu_a(ji+1,jj-1) ) |
---|
| 477 | ze21 = akappa(ji,jj-1,1,1) * ( zv_a(ji+1,jj-1) - zv_a(ji ,jj-1) ) & |
---|
| 478 | & - akappa(ji,jj-1,1,2) * ( zu_a(ji+1,jj-1) + zu_a(ji ,jj-1) ) |
---|
[2528] | 479 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
---|
| 480 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
---|
| 481 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 482 | zvis21 = zviseta (ji,jj-1) |
---|
[3] | 483 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 484 | zs11_21 = zs11_21 + zvis11 * ze11 + zdiag |
---|
| 485 | zs12_21 = zs12_21 + zvis12 * ze12 + zvis21 * ze21 |
---|
| 486 | zs22_21 = zs22_21 + zvis11 * ze22 + zdiag |
---|
| 487 | zs21_21 = zs21_21 + zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 488 | |
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[888] | 489 | ze11 = - akappa(ji-1,jj,1,1) * zu_a(ji-1,jj) + akappa(ji-1,jj,1,2) * zv_a(ji-1,jj) |
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| 490 | ze12 = - akappa(ji-1,jj,2,2) * zu_a(ji-1,jj) - akappa(ji-1,jj,2,1) * zv_a(ji-1,jj) |
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| 491 | ze22 = - akappa(ji-1,jj,2,2) * zv_a(ji-1,jj) + akappa(ji-1,jj,2,1) * zu_a(ji-1,jj) |
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| 492 | ze21 = - akappa(ji-1,jj,1,1) * zv_a(ji-1,jj) - akappa(ji-1,jj,1,2) * zu_a(ji-1,jj) |
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[2528] | 493 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
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| 494 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
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| 495 | zvis12 = zviseta (ji-1,jj) + dm |
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| 496 | zvis21 = zviseta (ji-1,jj) |
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[3] | 497 | zdiag = zvis22 * ( ze11 + ze22 ) |
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[888] | 498 | zs11_12 = zs11_12 + zvis11 * ze11 + zdiag |
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| 499 | zs12_12 = zs12_12 + zvis12 * ze12 + zvis21 * ze21 |
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| 500 | zs22_12 = zs22_12 + zvis11 * ze22 + zdiag |
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| 501 | zs21_12 = zs21_12 + zvis12 * ze21 + zvis21 * ze12 |
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[3] | 502 | |
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[888] | 503 | zd1 = + alambd(ji,jj,2,2,2,1) * zs11_21 + alambd(ji,jj,2,2,2,2) * zs11_22 & |
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| 504 | & - alambd(ji,jj,2,2,1,1) * zs11_11 - alambd(ji,jj,2,2,1,2) * zs11_12 & |
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| 505 | & - alambd(ji,jj,1,1,2,1) * zs12_21 - alambd(ji,jj,1,1,1,1) * zs12_11 & |
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| 506 | & + alambd(ji,jj,1,1,2,2) * zs12_22 + alambd(ji,jj,1,1,1,2) * zs12_12 & |
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| 507 | & + alambd(ji,jj,1,2,1,1) * zs21_11 + alambd(ji,jj,1,2,2,1) * zs21_21 & |
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| 508 | & + alambd(ji,jj,1,2,1,2) * zs21_12 + alambd(ji,jj,1,2,2,2) * zs21_22 & |
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| 509 | & - alambd(ji,jj,2,1,1,1) * zs22_11 - alambd(ji,jj,2,1,2,1) * zs22_21 & |
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| 510 | & - alambd(ji,jj,2,1,1,2) * zs22_12 - alambd(ji,jj,2,1,2,2) * zs22_22 |
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[3] | 511 | |
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[888] | 512 | zd2 = + alambd(ji,jj,2,2,2,1) * zs21_21 + alambd(ji,jj,2,2,2,2) * zs21_22 & |
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| 513 | & - alambd(ji,jj,2,2,1,1) * zs21_11 - alambd(ji,jj,2,2,1,2) * zs21_12 & |
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| 514 | & - alambd(ji,jj,1,1,2,1) * zs22_21 - alambd(ji,jj,1,1,1,1) * zs22_11 & |
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| 515 | & + alambd(ji,jj,1,1,2,2) * zs22_22 + alambd(ji,jj,1,1,1,2) * zs22_12 & |
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| 516 | & - alambd(ji,jj,1,2,1,1) * zs11_11 - alambd(ji,jj,1,2,2,1) * zs11_21 & |
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| 517 | & - alambd(ji,jj,1,2,1,2) * zs11_12 - alambd(ji,jj,1,2,2,2) * zs11_22 & |
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| 518 | & + alambd(ji,jj,2,1,1,1) * zs12_11 + alambd(ji,jj,2,1,2,1) * zs12_21 & |
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| 519 | & + alambd(ji,jj,2,1,1,2) * zs12_12 + alambd(ji,jj,2,1,2,2) * zs12_22 |
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[3] | 520 | |
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[1470] | 521 | zur = zu_a(ji,jj) - u_oce(ji,jj) |
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| 522 | zvr = zv_a(ji,jj) - v_oce(ji,jj) |
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[888] | 523 | !!!! |
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[2528] | 524 | zmod = SQRT( zur*zur + zvr*zvr ) * ( 1._wp - zfrld(ji,jj) ) |
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[888] | 525 | za = rhoco * zmod |
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| 526 | !!!! |
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[2528] | 527 | !!gm chg resul za = rhoco * SQRT( zur*zur + zvr*zvr ) * ( 1._wp - zfrld(ji,jj) ) |
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[888] | 528 | zac = za * cangvg |
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| 529 | zmpzas = alpha * zcorl(ji,jj) + za * zsang(ji,jj) |
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| 530 | zmassdt = zusdtp * zmass(ji,jj) |
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[2528] | 531 | zcorlal = ( 1._wp - alpha ) * zcorl(ji,jj) |
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[3] | 532 | |
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[888] | 533 | za1 = zmassdt * zu0(ji,jj) + zcorlal * zv0(ji,jj) + za1ct(ji,jj) & |
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[1470] | 534 | & + za * ( cangvg * u_oce(ji,jj) - zsang(ji,jj) * v_oce(ji,jj) ) |
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[888] | 535 | za2 = zmassdt * zv0(ji,jj) - zcorlal * zu0(ji,jj) + za2ct(ji,jj) & |
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[1470] | 536 | & + za * ( cangvg * v_oce(ji,jj) + zsang(ji,jj) * u_oce(ji,jj) ) |
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[888] | 537 | zb1 = zmassdt + zac - zc1u(ji,jj) |
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| 538 | zb2 = zmpzas - zc2u(ji,jj) |
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| 539 | zc1 = zmpzas + zc1v(ji,jj) |
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| 540 | zc2 = zmassdt + zac - zc2v(ji,jj) |
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| 541 | zdeter = zc1 * zb2 + zc2 * zb1 |
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| 542 | zden = SIGN( rone, zdeter) / MAX( epsd , ABS( zdeter ) ) |
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| 543 | zunw = ( ( za1 + zd1 ) * zc2 + ( za2 + zd2 ) * zc1 ) * zden |
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| 544 | zvnw = ( ( za2 + zd2 ) * zb1 - ( za1 + zd1 ) * zb2 ) * zden |
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[2528] | 545 | zmask = ( 1._wp - MAX( rzero, SIGN( rone , 1._wp - zmass(ji,jj) ) ) ) * tmu(ji,jj) |
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[3] | 546 | |
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[888] | 547 | zu_n(ji,jj) = ( zu_a(ji,jj) + om * ( zunw - zu_a(ji,jj) ) * tmu(ji,jj) ) * zmask |
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| 548 | zv_n(ji,jj) = ( zv_a(ji,jj) + om * ( zvnw - zv_a(ji,jj) ) * tmu(ji,jj) ) * zmask |
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[3] | 549 | END DO |
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| 550 | END DO |
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| 551 | |
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[888] | 552 | CALL lbc_lnk( zu_n(:,1:jpj), 'I', -1. ) |
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| 553 | CALL lbc_lnk( zv_n(:,1:jpj), 'I', -1. ) |
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[3] | 554 | |
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[3680] | 555 | #if defined key_agrif |
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| 556 | ! copy the boundary value from u_ice_nst and v_ice_nst to u_ice and v_ice |
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| 557 | ! before next interations |
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| 558 | CALL agrif_rhg_lim2(zu_n,zv_n) |
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| 559 | #endif |
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| 560 | |
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[888] | 561 | ! Test of Convergence |
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[77] | 562 | DO jj = k_j1+1 , k_jpj-1 |
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[888] | 563 | zresr(:,jj) = MAX( ABS( zu_a(:,jj) - zu_n(:,jj) ) , ABS( zv_a(:,jj) - zv_n(:,jj) ) ) |
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[3] | 564 | END DO |
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[888] | 565 | zresm = MAXVAL( zresr(1:jpi,k_j1+1:k_jpj-1) ) |
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| 566 | !!!! this should be faster on scalar processor |
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| 567 | ! zresm = MAXVAL( MAX( ABS( zu_a(1:jpi,k_j1+1:k_jpj-1) - zu_n(1:jpi,k_j1+1:k_jpj-1) ), & |
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| 568 | ! & ABS( zv_a(1:jpi,k_j1+1:k_jpj-1) - zv_n(1:jpi,k_j1+1:k_jpj-1) ) ) ) |
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| 569 | !!!! |
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[77] | 570 | IF( lk_mpp ) CALL mpp_max( zresm ) ! max over the global domain |
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[3] | 571 | |
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[888] | 572 | DO jj = k_j1, k_jpj |
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| 573 | zu_a(:,jj) = zu_n(:,jj) |
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| 574 | zv_a(:,jj) = zv_n(:,jj) |
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| 575 | END DO |
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[3] | 576 | |
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[888] | 577 | IF( zresm <= resl ) EXIT iflag |
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[3] | 578 | |
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[888] | 579 | ! ! ================ ! |
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| 580 | END DO iflag ! end Relaxation ! |
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| 581 | ! ! ================ ! |
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| 582 | |
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| 583 | IF( zindu == 0 ) THEN ! even iteration |
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| 584 | DO jj = k_j1 , k_jpj-1 |
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| 585 | zu0(:,jj) = zu_a(:,jj) |
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| 586 | zv0(:,jj) = zv_a(:,jj) |
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| 587 | END DO |
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| 588 | ENDIF |
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| 589 | ! ! ==================== ! |
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[3] | 590 | END DO ! end loop over iter ! |
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| 591 | ! ! ==================== ! |
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| 592 | |
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[1470] | 593 | u_ice(:,:) = zu_a(:,1:jpj) |
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| 594 | v_ice(:,:) = zv_a(:,1:jpj) |
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[888] | 595 | |
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[258] | 596 | IF(ln_ctl) THEN |
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| 597 | WRITE(charout,FMT="('lim_rhg : res =',D23.16, ' iter =',I4)") zresm, jter |
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| 598 | CALL prt_ctl_info(charout) |
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[1470] | 599 | CALL prt_ctl(tab2d_1=u_ice, clinfo1=' lim_rhg : u_ice :', tab2d_2=v_ice, clinfo2=' v_ice :') |
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[3] | 600 | ENDIF |
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| 601 | |
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[3294] | 602 | CALL wrk_dealloc( jpi,jpj, zfrld, zmass, zcorl, za1ct, za2ct, zresr ) |
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[3625] | 603 | CALL wrk_dealloc( jpi,jpj, zc1u , zc1v , zc2u , zc2v , zsang, zpice ) |
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[3294] | 604 | CALL wrk_dealloc( jpi,jpj+2, zu0, zv0, zu_n, zv_n, zu_a, zv_a, zviszeta, zviseta, kjstart = 0 ) |
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| 605 | CALL wrk_dealloc( jpi,jpj+2, zzfrld, zztms, zi1, zi2, zmasst, zpresh, kjstart = 0 ) |
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| 606 | |
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[821] | 607 | END SUBROUTINE lim_rhg_2 |
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[77] | 608 | |
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[3] | 609 | #else |
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[77] | 610 | !!---------------------------------------------------------------------- |
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[2528] | 611 | !! Default option Dummy module NO VP & LIM-2 sea-ice model |
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[77] | 612 | !!---------------------------------------------------------------------- |
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[3] | 613 | CONTAINS |
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[821] | 614 | SUBROUTINE lim_rhg_2( k1 , k2 ) ! Dummy routine |
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| 615 | WRITE(*,*) 'lim_rhg_2: You should not have seen this print! error?', k1, k2 |
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| 616 | END SUBROUTINE lim_rhg_2 |
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[3] | 617 | #endif |
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| 618 | |
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[77] | 619 | !!============================================================================== |
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[821] | 620 | END MODULE limrhg_2 |
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