[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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| 29 | USE in_out_manager ! I/O manager |
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| 30 | USE prtctl ! Print control |
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[2804] | 31 | #if defined key_agrif |
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| 32 | USE agrif_lim2_interp ! nesting |
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| 33 | #endif |
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[3] | 34 | |
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| 35 | IMPLICIT NONE |
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| 36 | PRIVATE |
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| 37 | |
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[2715] | 38 | PUBLIC lim_rhg_2 ! routine called by lim_dyn |
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| 39 | PUBLIC lim_rhg_alloc_2 ! routine called by lim_dyn_alloc_2 |
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[3] | 40 | |
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[2528] | 41 | REAL(wp) :: rzero = 0._wp ! constant value: zero |
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| 42 | REAL(wp) :: rone = 1._wp ! and one |
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[888] | 43 | |
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[2715] | 44 | ! 2D workspaces for lim_rhg_2. Can't use wrk_nemo module for them because |
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| 45 | ! extent in 2nd dimension is > jpj. |
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| 46 | REAL(wp), SAVE, ALLOCATABLE, DIMENSION(:,:) :: zu0, zv0 |
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| 47 | REAL(wp), SAVE, ALLOCATABLE, DIMENSION(:,:) :: zu_n, zv_n |
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| 48 | REAL(wp), SAVE, ALLOCATABLE, DIMENSION(:,:) :: zu_a, zv_a |
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| 49 | REAL(wp), SAVE, ALLOCATABLE, DIMENSION(:,:) :: zviszeta, zviseta |
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| 50 | REAL(wp), SAVE, ALLOCATABLE, DIMENSION(:,:) :: zzfrld, zztms |
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| 51 | REAL(wp), SAVE, ALLOCATABLE, DIMENSION(:,:) :: zi1, zi2, zmasst, zpresh |
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| 52 | |
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[888] | 53 | !! * Substitutions |
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| 54 | # include "vectopt_loop_substitute.h90" |
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[3] | 55 | !!---------------------------------------------------------------------- |
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[2528] | 56 | !! NEMO/LIM2 3.3 , UCL - NEMO Consortium (2010) |
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[1156] | 57 | !! $Id$ |
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[2528] | 58 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 59 | !!---------------------------------------------------------------------- |
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| 60 | CONTAINS |
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| 61 | |
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[2715] | 62 | INTEGER FUNCTION lim_rhg_alloc_2() |
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| 63 | !!------------------------------------------------------------------- |
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| 64 | !! *** FUNCTION lim_rhg_alloc_2 *** |
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| 65 | !!------------------------------------------------------------------- |
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| 66 | ALLOCATE( zu0(jpi,0:jpj+1), zv0(jpi,0:jpj+1), & |
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| 67 | & zu_n(jpi,0:jpj+1), zv_n(jpi,0:jpj+1), & |
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| 68 | & zu_a(jpi,0:jpj+1), zv_a(jpi,0:jpj+1), & |
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| 69 | & zviszeta(jpi,0:jpj+1), zviseta(jpi,0:jpj+1), & |
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| 70 | & zzfrld(jpi,0:jpj+1), zztms(jpi,0:jpj+1), & |
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| 71 | & zi1(jpi,0:jpj+1), zi2(jpi,0:jpj+1), & |
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| 72 | & zmasst(jpi,0:jpj+1), zpresh(jpi,0:jpj+1), & |
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| 73 | & Stat=lim_rhg_alloc_2) |
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| 74 | ! |
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| 75 | IF( lim_rhg_alloc_2 /= 0 ) CALL ctl_warn('lim_rhg_alloc_2 : failed to allocate arrays') |
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| 76 | ! |
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| 77 | END FUNCTION lim_rhg_alloc_2 |
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| 78 | |
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| 79 | |
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[821] | 80 | SUBROUTINE lim_rhg_2( k_j1, k_jpj ) |
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[3] | 81 | !!------------------------------------------------------------------- |
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[821] | 82 | !! *** SUBROUTINR lim_rhg_2 *** |
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[77] | 83 | !! |
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[12] | 84 | !! ** purpose : determines the velocity field of sea ice by using |
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| 85 | !! atmospheric (wind stress) and oceanic (water stress and surface |
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| 86 | !! tilt) forcings. Ice-ice interaction is described by a non-linear |
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[391] | 87 | !! viscous-plastic law including shear strength and a bulk rheology. |
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[3] | 88 | !! |
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[1470] | 89 | !! ** Action : - compute u_ice, v_ice the sea-ice velocity defined |
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[888] | 90 | !! at I-point |
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| 91 | !!------------------------------------------------------------------- |
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[2715] | 92 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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| 93 | USE wrk_nemo, ONLY: zfrld => wrk_2d_1, zmass => wrk_2d_2, zcorl => wrk_2d_3 |
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| 94 | USE wrk_nemo, ONLY: za1ct => wrk_2d_4, za2ct => wrk_2d_5, zresr => wrk_2d_6 |
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| 95 | USE wrk_nemo, ONLY: zc1u => wrk_2d_7, zc1v => wrk_2d_8, zc2u => wrk_2d_9 |
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| 96 | USE wrk_nemo, ONLY: zc2v => wrk_2d_10, zsang => wrk_2d_11 |
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| 97 | !! |
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[888] | 98 | INTEGER, INTENT(in) :: k_j1 ! southern j-index for ice computation |
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| 99 | INTEGER, INTENT(in) :: k_jpj ! northern j-index for ice computation |
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[719] | 100 | !! |
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[12] | 101 | INTEGER :: ji, jj ! dummy loop indices |
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[888] | 102 | INTEGER :: iter, jter ! temporary integers |
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| 103 | CHARACTER (len=50) :: charout |
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[2528] | 104 | REAL(wp) :: ze11 , ze12 , ze22 , ze21 ! local scalars |
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| 105 | REAL(wp) :: zt11 , zt12 , zt21 , zt22 ! - - |
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| 106 | REAL(wp) :: zvis11, zvis21, zvis12, zvis22 ! - - |
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| 107 | REAL(wp) :: zgphsx, ztagnx, zgsshx, zunw, zur, zusw ! - - |
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| 108 | REAL(wp) :: zgphsy, ztagny, zgsshy, zvnw, zvr ! - - |
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[888] | 109 | REAL(wp) :: zresm, za, zac, zmod |
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| 110 | REAL(wp) :: zmpzas, zstms, zindu, zusdtp, zmassdt, zcorlal |
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| 111 | REAL(wp) :: ztrace2, zdeter, zdelta, zmask, zdgp, zdgi, zdiag |
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| 112 | REAL(wp) :: za1, zb1, zc1, zd1 |
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| 113 | REAL(wp) :: za2, zb2, zc2, zd2, zden |
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| 114 | REAL(wp) :: zs11_11, zs11_12, zs11_21, zs11_22 |
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| 115 | REAL(wp) :: zs12_11, zs12_12, zs12_21, zs12_22 |
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| 116 | REAL(wp) :: zs21_11, zs21_12, zs21_21, zs21_22 |
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| 117 | REAL(wp) :: zs22_11, zs22_12, zs22_21, zs22_22 |
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| 118 | !!------------------------------------------------------------------- |
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[3] | 119 | |
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[77] | 120 | ! Store initial velocities |
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[888] | 121 | ! ---------------- |
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[2528] | 122 | zztms(:,0 ) = 0._wp ; zzfrld(:,0 ) = 0._wp |
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| 123 | zztms(:,jpj+1) = 0._wp ; zzfrld(:,jpj+1) = 0._wp |
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| 124 | zu0 (:,0 ) = 0._wp ; zv0 (:,0 ) = 0._wp |
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| 125 | zu0 (:,jpj+1) = 0._wp ; zv0 (:,jpj+1) = 0._wp |
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| 126 | zztms(:,1:jpj) = tms (:,:) ; zzfrld(:,1:jpj) = frld (:,:) |
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| 127 | zu0 (:,1:jpj) = u_ice(:,:) ; zv0 (:,1:jpj) = v_ice(:,:) |
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| 128 | zu_a (:, : ) = zu0 (:,:) ; zv_a (:, : ) = zv0 (:,:) |
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| 129 | zu_n (:, : ) = zu0 (:,:) ; zv_n (:, : ) = zv0 (:,:) |
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[3] | 130 | |
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[888] | 131 | !i |
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[2528] | 132 | zi1 (:,:) = 0._wp |
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| 133 | zi2 (:,:) = 0._wp |
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| 134 | zpresh(:,:) = 0._wp |
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| 135 | zmasst(:,:) = 0._wp |
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[888] | 136 | !i |
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| 137 | !!gm violant |
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[2528] | 138 | zfrld(:,:) =0._wp |
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| 139 | zcorl(:,:) =0._wp |
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| 140 | zmass(:,:) =0._wp |
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| 141 | za1ct(:,:) =0._wp |
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| 142 | za2ct(:,:) =0._wp |
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[888] | 143 | !!gm end |
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| 144 | |
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[2528] | 145 | zviszeta(:,:) = 0._wp |
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| 146 | zviseta (:,:) = 0._wp |
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[888] | 147 | |
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[2528] | 148 | !i zviszeta(:,0 ) = 0._wp ; zviseta(:,0 ) = 0._wp |
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| 149 | !i zviszeta(:,jpj ) = 0._wp ; zviseta(:,jpj ) = 0._wp |
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| 150 | !i zviszeta(:,jpj+1) = 0._wp ; zviseta(:,jpj+1) = 0._wp |
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[888] | 151 | |
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[2804] | 152 | #if defined key_agrif |
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| 153 | ! load the boundary value of velocity in special array zuive and zvice |
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| 154 | CALL Agrif_dyn_lim2_load |
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| 155 | #endif |
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[888] | 156 | |
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[717] | 157 | ! Ice mass, ice strength, and wind stress at the center | |
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| 158 | ! of the grid squares. | |
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[77] | 159 | !------------------------------------------------------------------- |
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[3] | 160 | |
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[888] | 161 | !CDIR NOVERRCHK |
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[77] | 162 | DO jj = k_j1 , k_jpj-1 |
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[888] | 163 | !CDIR NOVERRCHK |
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[3] | 164 | DO ji = 1 , jpi |
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[888] | 165 | ! only the sinus changes its sign with the hemisphere |
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[2528] | 166 | zsang(ji,jj) = SIGN( 1._wp, fcor(ji,jj) ) * sangvg ! only the sinus changes its sign with the hemisphere |
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[888] | 167 | ! |
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| 168 | zmasst(ji,jj) = tms(ji,jj) * ( rhosn * hsnm(ji,jj) + rhoic * hicm(ji,jj) ) |
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[3] | 169 | zpresh(ji,jj) = tms(ji,jj) * pstarh * hicm(ji,jj) * EXP( -c_rhg * frld(ji,jj) ) |
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[888] | 170 | !!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] | 171 | zi1(ji,jj) = tms(ji,jj) * ( 1._wp - frld(ji,jj) ) |
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| 172 | zi2(ji,jj) = tms(ji,jj) * ( 1._wp - frld(ji,jj) ) |
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[3] | 173 | END DO |
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| 174 | END DO |
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| 175 | |
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[717] | 176 | |
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[3] | 177 | !--------------------------------------------------------------------------- |
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[717] | 178 | ! Wind stress, coriolis and mass terms at the corners of the grid squares | |
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| 179 | ! Gradient of ice strenght. | |
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| 180 | !--------------------------------------------------------------------------- |
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[3] | 181 | |
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[77] | 182 | DO jj = k_j1+1, k_jpj-1 |
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[1774] | 183 | DO ji = 2, jpi ! NO vector opt. |
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[888] | 184 | zstms = zztms(ji,jj ) * wght(ji,jj,2,2) + zztms(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 185 | & + zztms(ji,jj-1) * wght(ji,jj,2,1) + zztms(ji-1,jj-1) * wght(ji,jj,1,1) |
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[2528] | 186 | zusw = 1._wp / MAX( zstms, epsd ) |
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[3] | 187 | |
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[888] | 188 | zt11 = zztms(ji ,jj ) * zzfrld(ji ,jj ) |
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| 189 | zt12 = zztms(ji-1,jj ) * zzfrld(ji-1,jj ) |
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| 190 | zt21 = zztms(ji ,jj-1) * zzfrld(ji ,jj-1) |
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| 191 | zt22 = zztms(ji-1,jj-1) * zzfrld(ji-1,jj-1) |
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[3] | 192 | |
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[717] | 193 | ! Leads area. |
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| 194 | zfrld(ji,jj) = ( zt11 * wght(ji,jj,2,2) + zt12 * wght(ji,jj,1,2) & |
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| 195 | & + zt21 * wght(ji,jj,2,1) + zt22 * wght(ji,jj,1,1) ) * zusw |
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[3] | 196 | |
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[888] | 197 | ! Mass and coriolis coeff. at I-point |
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| 198 | zmass(ji,jj) = ( zmasst(ji,jj ) * wght(ji,jj,2,2) + zmasst(ji-1,jj ) * wght(ji,jj,1,2) & |
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| 199 | & + 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] | 200 | zcorl(ji,jj) = zmass(ji,jj) & |
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| 201 | & *( fcor(ji,jj ) * wght(ji,jj,2,2) + fcor(ji-1,jj )*wght(ji,jj,1,2) & |
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| 202 | & + fcor(ji,jj-1) * wght(ji,jj,2,1) + fcor(ji-1,jj-1)*wght(ji,jj,1,1) ) * zusw |
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[717] | 203 | |
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[700] | 204 | ! Wind stress. |
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[1469] | 205 | ! always provide stress at I-point |
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[888] | 206 | ztagnx = ( zi1(ji,jj ) * wght(ji,jj,2,2) + zi1(ji-1,jj ) * wght(ji,jj,1,2) & |
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[1469] | 207 | & + 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] | 208 | ztagny = ( zi2(ji,jj ) * wght(ji,jj,2,2) + zi2(ji-1,jj ) * wght(ji,jj,1,2) & |
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[1469] | 209 | & + 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] | 210 | |
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[3] | 211 | ! Gradient of ice strength |
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| 212 | zgphsx = ( alambd(ji,jj,2,2,2,1) - alambd(ji,jj,2,1,2,1) ) * zpresh(ji ,jj-1) & |
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| 213 | & + ( alambd(ji,jj,2,2,2,2) - alambd(ji,jj,2,1,2,2) ) * zpresh(ji ,jj ) & |
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| 214 | & - ( alambd(ji,jj,2,2,1,1) + alambd(ji,jj,2,1,1,1) ) * zpresh(ji-1,jj-1) & |
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| 215 | & - ( alambd(ji,jj,2,2,1,2) + alambd(ji,jj,2,1,1,2) ) * zpresh(ji-1,jj ) |
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| 216 | |
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| 217 | zgphsy = - ( alambd(ji,jj,1,1,2,1) + alambd(ji,jj,1,2,2,1) ) * zpresh(ji ,jj-1) & |
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| 218 | & - ( alambd(ji,jj,1,1,1,1) + alambd(ji,jj,1,2,1,1) ) * zpresh(ji-1,jj-1) & |
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| 219 | & + ( alambd(ji,jj,1,1,2,2) - alambd(ji,jj,1,2,2,2) ) * zpresh(ji ,jj ) & |
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| 220 | & + ( alambd(ji,jj,1,1,1,2) - alambd(ji,jj,1,2,1,2) ) * zpresh(ji-1,jj ) |
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| 221 | |
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[1711] | 222 | ! Gradient of the sea surface height |
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| 223 | zgsshx = ( (ssh_m(ji ,jj ) - ssh_m(ji-1,jj ))/e1u(ji-1,jj ) & |
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[2528] | 224 | & + (ssh_m(ji ,jj-1) - ssh_m(ji-1,jj-1))/e1u(ji-1,jj-1) ) * 0.5_wp |
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[1711] | 225 | zgsshy = ( (ssh_m(ji ,jj ) - ssh_m(ji ,jj-1))/e2v(ji ,jj-1) & |
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[2528] | 226 | & + (ssh_m(ji-1,jj ) - ssh_m(ji-1,jj-1))/e2v(ji-1,jj-1) ) * 0.5_wp |
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[1711] | 227 | |
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[3] | 228 | ! Computation of the velocity field taking into account the ice-ice interaction. |
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[888] | 229 | ! Terms that are independent of the ice velocity field. |
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[1711] | 230 | za1ct(ji,jj) = ztagnx - zmass(ji,jj) * grav * zgsshx - zgphsx |
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| 231 | za2ct(ji,jj) = ztagny - zmass(ji,jj) * grav * zgsshy - zgphsy |
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[3] | 232 | END DO |
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| 233 | END DO |
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| 234 | |
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| 235 | |
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| 236 | ! SOLUTION OF THE MOMENTUM EQUATION. |
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| 237 | !------------------------------------------ |
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| 238 | ! ! ==================== ! |
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| 239 | DO iter = 1 , 2 * nbiter ! loop over iter ! |
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| 240 | ! ! ==================== ! |
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| 241 | zindu = MOD( iter , 2 ) |
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[2528] | 242 | zusdtp = ( zindu * 2._wp + ( 1._wp - zindu ) * 1._wp ) * REAL( nbiter ) / rdt_ice |
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[3] | 243 | |
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| 244 | ! Computation of free drift field for free slip boundary conditions. |
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| 245 | |
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[888] | 246 | !CDIR NOVERRCHK |
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| 247 | DO jj = k_j1, k_jpj-1 |
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| 248 | !CDIR NOVERRCHK |
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| 249 | DO ji = 1, fs_jpim1 |
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| 250 | !- Rate of strain tensor. |
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| 251 | 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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| 252 | & + 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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| 253 | 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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| 254 | & - 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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| 255 | 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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| 256 | & + 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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| 257 | 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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| 258 | & - 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] | 259 | |
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[888] | 260 | !- Rate of strain tensor. |
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| 261 | zdgp = zt11 + zt22 |
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| 262 | zdgi = zt12 + zt21 |
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| 263 | ztrace2 = zdgp * zdgp |
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[2528] | 264 | zdeter = zt11 * zt22 - 0.25_wp * zdgi * zdgi |
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[3] | 265 | |
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[888] | 266 | ! Creep limit depends on the size of the grid. |
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[2528] | 267 | zdelta = MAX( SQRT( ztrace2 + ( ztrace2 - 4._wp * zdeter ) * usecc2 ), creepl) |
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[3] | 268 | |
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[888] | 269 | !- Computation of viscosities. |
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| 270 | zviszeta(ji,jj) = MAX( zpresh(ji,jj) / zdelta, etamn ) |
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| 271 | zviseta (ji,jj) = zviszeta(ji,jj) * usecc2 |
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| 272 | END DO |
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| 273 | END DO |
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[3] | 274 | |
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[888] | 275 | !- Determination of zc1u, zc2u, zc1v and zc2v. |
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| 276 | DO jj = k_j1+1, k_jpj-1 |
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[1347] | 277 | DO ji = 2, fs_jpim1 ! NO vector opt. |
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[888] | 278 | !* zc1u , zc2v |
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[2528] | 279 | zvis11 = 2._wp * zviseta (ji-1,jj-1) + dm |
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| 280 | zvis12 = zviseta (ji-1,jj-1) + dm |
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| 281 | zvis21 = zviseta (ji-1,jj-1) |
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| 282 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
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[888] | 283 | zdiag = zvis22 * ( akappa(ji-1,jj-1,1,1) + akappa(ji-1,jj-1,2,1) ) |
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| 284 | zs11_11 = zvis11 * akappa(ji-1,jj-1,1,1) + zdiag |
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| 285 | zs12_11 = zvis12 * akappa(ji-1,jj-1,2,2) - zvis21 * akappa(ji-1,jj-1,1,2) |
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| 286 | zs21_11 = -zvis12 * akappa(ji-1,jj-1,1,2) + zvis21 * akappa(ji-1,jj-1,2,2) |
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| 287 | zs22_11 = zvis11 * akappa(ji-1,jj-1,2,1) + zdiag |
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[3] | 288 | |
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[2528] | 289 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
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| 290 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
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| 291 | zvis12 = zviseta (ji,jj-1) + dm |
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| 292 | zvis21 = zviseta (ji,jj-1) |
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[888] | 293 | zdiag = zvis22 * ( -akappa(ji,jj-1,1,1) + akappa(ji,jj-1,2,1) ) |
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| 294 | zs11_21 = -zvis11 * akappa(ji,jj-1,1,1) + zdiag |
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| 295 | zs12_21 = zvis12 * akappa(ji,jj-1,2,2) - zvis21 * akappa(ji,jj-1,1,2) |
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| 296 | zs22_21 = zvis11 * akappa(ji,jj-1,2,1) + zdiag |
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| 297 | zs21_21 = -zvis12 * akappa(ji,jj-1,1,2) + zvis21 * akappa(ji,jj-1,2,2) |
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[3] | 298 | |
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[2528] | 299 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
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| 300 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
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| 301 | zvis12 = zviseta (ji-1,jj) + dm |
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| 302 | zvis21 = zviseta (ji-1,jj) |
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| 303 | zdiag = zvis22 * ( akappa(ji-1,jj,1,1) + akappa(ji-1,jj,2,1) ) |
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[888] | 304 | zs11_12 = zvis11 * akappa(ji-1,jj,1,1) + zdiag |
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| 305 | zs12_12 = -zvis12 * akappa(ji-1,jj,2,2) - zvis21 * akappa(ji-1,jj,1,2) |
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| 306 | zs22_12 = zvis11 * akappa(ji-1,jj,2,1) + zdiag |
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| 307 | zs21_12 = -zvis12 * akappa(ji-1,jj,1,2) - zvis21 * akappa(ji-1,jj,2,2) |
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[3] | 308 | |
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[2528] | 309 | zvis11 = 2._wp * zviseta (ji,jj) + dm |
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| 310 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
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| 311 | zvis12 = zviseta (ji,jj) + dm |
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| 312 | zvis21 = zviseta (ji,jj) |
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[888] | 313 | zdiag = zvis22 * ( -akappa(ji,jj,1,1) + akappa(ji,jj,2,1) ) |
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| 314 | zs11_22 = -zvis11 * akappa(ji,jj,1,1) + zdiag |
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| 315 | zs12_22 = -zvis12 * akappa(ji,jj,2,2) - zvis21 * akappa(ji,jj,1,2) |
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| 316 | zs22_22 = zvis11 * akappa(ji,jj,2,1) + zdiag |
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| 317 | zs21_22 = -zvis12 * akappa(ji,jj,1,2) - zvis21 * akappa(ji,jj,2,2) |
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[3] | 318 | |
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[888] | 319 | 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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| 320 | & - alambd(ji,jj,2,2,1,1) * zs11_11 - alambd(ji,jj,2,2,1,2) * zs11_12 & |
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| 321 | & - alambd(ji,jj,1,1,2,1) * zs12_21 - alambd(ji,jj,1,1,1,1) * zs12_11 & |
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| 322 | & + alambd(ji,jj,1,1,2,2) * zs12_22 + alambd(ji,jj,1,1,1,2) * zs12_12 & |
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| 323 | & + alambd(ji,jj,1,2,1,1) * zs21_11 + alambd(ji,jj,1,2,2,1) * zs21_21 & |
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| 324 | & + alambd(ji,jj,1,2,1,2) * zs21_12 + alambd(ji,jj,1,2,2,2) * zs21_22 & |
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| 325 | & - alambd(ji,jj,2,1,1,1) * zs22_11 - alambd(ji,jj,2,1,2,1) * zs22_21 & |
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| 326 | & - alambd(ji,jj,2,1,1,2) * zs22_12 - alambd(ji,jj,2,1,2,2) * zs22_22 |
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[3] | 327 | |
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[888] | 328 | 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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| 329 | & - alambd(ji,jj,2,2,1,1) * zs21_11 - alambd(ji,jj,2,2,1,2) * zs21_12 & |
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| 330 | & - alambd(ji,jj,1,1,2,1) * zs22_21 - alambd(ji,jj,1,1,1,1) * zs22_11 & |
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| 331 | & + alambd(ji,jj,1,1,2,2) * zs22_22 + alambd(ji,jj,1,1,1,2) * zs22_12 & |
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| 332 | & - alambd(ji,jj,1,2,1,1) * zs11_11 - alambd(ji,jj,1,2,2,1) * zs11_21 & |
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| 333 | & - alambd(ji,jj,1,2,1,2) * zs11_12 - alambd(ji,jj,1,2,2,2) * zs11_22 & |
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| 334 | & + alambd(ji,jj,2,1,1,1) * zs12_11 + alambd(ji,jj,2,1,2,1) * zs12_21 & |
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| 335 | & + alambd(ji,jj,2,1,1,2) * zs12_12 + alambd(ji,jj,2,1,2,2) * zs12_22 |
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[3] | 336 | |
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[888] | 337 | !* zc1v , zc2v. |
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[2528] | 338 | zvis11 = 2._wp * zviseta (ji-1,jj-1) + dm |
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| 339 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
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| 340 | zvis12 = zviseta (ji-1,jj-1) + dm |
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| 341 | zvis21 = zviseta (ji-1,jj-1) |
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[888] | 342 | zdiag = zvis22 * ( akappa(ji-1,jj-1,1,2) + akappa(ji-1,jj-1,2,2) ) |
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| 343 | zs11_11 = zvis11 * akappa(ji-1,jj-1,1,2) + zdiag |
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| 344 | zs12_11 = -zvis12 * akappa(ji-1,jj-1,2,1) + zvis21 * akappa(ji-1,jj-1,1,1) |
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| 345 | zs22_11 = zvis11 * akappa(ji-1,jj-1,2,2) + zdiag |
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| 346 | zs21_11 = zvis12 * akappa(ji-1,jj-1,1,1) - zvis21 * akappa(ji-1,jj-1,2,1) |
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[3] | 347 | |
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[2528] | 348 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
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| 349 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
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| 350 | zvis12 = zviseta (ji,jj-1) + dm |
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| 351 | zvis21 = zviseta (ji,jj-1) |
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[888] | 352 | zdiag = zvis22 * ( akappa(ji,jj-1,1,2) + akappa(ji,jj-1,2,2) ) |
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| 353 | zs11_21 = zvis11 * akappa(ji,jj-1,1,2) + zdiag |
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| 354 | zs12_21 = -zvis12 * akappa(ji,jj-1,2,1) - zvis21 * akappa(ji,jj-1,1,1) |
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| 355 | zs22_21 = zvis11 * akappa(ji,jj-1,2,2) + zdiag |
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| 356 | zs21_21 = -zvis12 * akappa(ji,jj-1,1,1) - zvis21 * akappa(ji,jj-1,2,1) |
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[3] | 357 | |
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[2528] | 358 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
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| 359 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
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| 360 | zvis12 = zviseta (ji-1,jj) + dm |
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| 361 | zvis21 = zviseta (ji-1,jj) |
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[888] | 362 | zdiag = zvis22 * ( akappa(ji-1,jj,1,2) - akappa(ji-1,jj,2,2) ) |
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| 363 | zs11_12 = zvis11 * akappa(ji-1,jj,1,2) + zdiag |
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| 364 | zs12_12 = -zvis12 * akappa(ji-1,jj,2,1) + zvis21 * akappa(ji-1,jj,1,1) |
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| 365 | zs22_12 = -zvis11 * akappa(ji-1,jj,2,2) + zdiag |
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| 366 | zs21_12 = zvis12 * akappa(ji-1,jj,1,1) - zvis21 * akappa(ji-1,jj,2,1) |
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[3] | 367 | |
---|
[2528] | 368 | zvis11 = 2._wp * zviseta (ji,jj) + dm |
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| 369 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
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| 370 | zvis12 = zviseta (ji,jj) + dm |
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| 371 | zvis21 = zviseta (ji,jj) |
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[888] | 372 | zdiag = zvis22 * ( akappa(ji,jj,1,2) - akappa(ji,jj,2,2) ) |
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| 373 | zs11_22 = zvis11 * akappa(ji,jj,1,2) + zdiag |
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| 374 | zs12_22 = -zvis12 * akappa(ji,jj,2,1) - zvis21 * akappa(ji,jj,1,1) |
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| 375 | zs22_22 = -zvis11 * akappa(ji,jj,2,2) + zdiag |
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| 376 | zs21_22 = -zvis12 * akappa(ji,jj,1,1) - zvis21 * akappa(ji,jj,2,1) |
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[3] | 377 | |
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[888] | 378 | 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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| 379 | & - alambd(ji,jj,2,2,1,1) * zs11_11 - alambd(ji,jj,2,2,1,2) * zs11_12 & |
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| 380 | & - alambd(ji,jj,1,1,2,1) * zs12_21 - alambd(ji,jj,1,1,1,1) * zs12_11 & |
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| 381 | & + alambd(ji,jj,1,1,2,2) * zs12_22 + alambd(ji,jj,1,1,1,2) * zs12_12 & |
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| 382 | & + alambd(ji,jj,1,2,1,1) * zs21_11 + alambd(ji,jj,1,2,2,1) * zs21_21 & |
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| 383 | & + alambd(ji,jj,1,2,1,2) * zs21_12 + alambd(ji,jj,1,2,2,2) * zs21_22 & |
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| 384 | & - alambd(ji,jj,2,1,1,1) * zs22_11 - alambd(ji,jj,2,1,2,1) * zs22_21 & |
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| 385 | & - alambd(ji,jj,2,1,1,2) * zs22_12 - alambd(ji,jj,2,1,2,2) * zs22_22 |
---|
[3] | 386 | |
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[888] | 387 | 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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| 388 | & - alambd(ji,jj,2,2,1,1) * zs21_11 - alambd(ji,jj,2,2,1,2) * zs21_12 & |
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| 389 | & - alambd(ji,jj,1,1,2,1) * zs22_21 - alambd(ji,jj,1,1,1,1) * zs22_11 & |
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| 390 | & + alambd(ji,jj,1,1,2,2) * zs22_22 + alambd(ji,jj,1,1,1,2) * zs22_12 & |
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| 391 | & - alambd(ji,jj,1,2,1,1) * zs11_11 - alambd(ji,jj,1,2,2,1) * zs11_21 & |
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| 392 | & - alambd(ji,jj,1,2,1,2) * zs11_12 - alambd(ji,jj,1,2,2,2) * zs11_22 & |
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| 393 | & + alambd(ji,jj,2,1,1,1) * zs12_11 + alambd(ji,jj,2,1,2,1) * zs12_21 & |
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| 394 | & + alambd(ji,jj,2,1,1,2) * zs12_12 + alambd(ji,jj,2,1,2,2) * zs12_22 |
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[3] | 395 | END DO |
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[888] | 396 | END DO |
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[3] | 397 | |
---|
[888] | 398 | ! GAUSS-SEIDEL method |
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| 399 | ! ! ================ ! |
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| 400 | iflag: DO jter = 1 , nbitdr ! Relaxation ! |
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| 401 | ! ! ================ ! |
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| 402 | !CDIR NOVERRCHK |
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[77] | 403 | DO jj = k_j1+1, k_jpj-1 |
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[888] | 404 | !CDIR NOVERRCHK |
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[1347] | 405 | DO ji = 2, fs_jpim1 ! NO vector opt. |
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[888] | 406 | ! |
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| 407 | 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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| 408 | 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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| 409 | 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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| 410 | 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] | 411 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
---|
| 412 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
---|
| 413 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 414 | zvis21 = zviseta (ji,jj-1) |
---|
[3] | 415 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 416 | zs11_21 = zvis11 * ze11 + zdiag |
---|
| 417 | zs12_21 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 418 | zs22_21 = zvis11 * ze22 + zdiag |
---|
| 419 | zs21_21 = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 420 | |
---|
[888] | 421 | ze11 = akappa(ji-1,jj,1,1) * ( zu_a(ji ,jj+1) - zu_a(ji-1,jj+1) ) & |
---|
| 422 | & + akappa(ji-1,jj,1,2) * ( zv_a(ji ,jj+1) + zv_a(ji-1,jj+1) ) |
---|
| 423 | ze12 = + akappa(ji-1,jj,2,2) * ( zu_a(ji-1,jj+1) + zu_a(ji ,jj+1) ) & |
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| 424 | & - akappa(ji-1,jj,2,1) * ( zv_a(ji-1,jj+1) + zv_a(ji ,jj+1) ) |
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| 425 | ze22 = + akappa(ji-1,jj,2,2) * ( zv_a(ji-1,jj+1) + zv_a(ji ,jj+1) ) & |
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| 426 | & + akappa(ji-1,jj,2,1) * ( zu_a(ji-1,jj+1) + zu_a(ji ,jj+1) ) |
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| 427 | ze21 = akappa(ji-1,jj,1,1) * ( zv_a(ji ,jj+1) - zv_a(ji-1,jj+1) ) & |
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| 428 | & - akappa(ji-1,jj,1,2) * ( zu_a(ji ,jj+1) + zu_a(ji-1,jj+1) ) |
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[2528] | 429 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
---|
| 430 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
---|
| 431 | zvis12 = zviseta (ji-1,jj) + dm |
---|
| 432 | zvis21 = zviseta (ji-1,jj) |
---|
[3] | 433 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 434 | zs11_12 = zvis11 * ze11 + zdiag |
---|
| 435 | zs12_12 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 436 | zs22_12 = zvis11 * ze22 + zdiag |
---|
| 437 | zs21_12 = zvis12 * ze21 + zvis21 * ze12 |
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[3] | 438 | |
---|
[888] | 439 | ze11 = akappa(ji,jj,1,1) * ( zu_a(ji+1,jj) + zu_a(ji+1,jj+1) - zu_a(ji ,jj+1) ) & |
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| 440 | & + 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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| 441 | ze12 = - akappa(ji,jj,2,2) * ( zu_a(ji+1,jj) - zu_a(ji ,jj+1) - zu_a(ji+1,jj+1) ) & |
---|
| 442 | & - 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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| 443 | 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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| 444 | & + 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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| 445 | ze21 = akappa(ji,jj,1,1) * ( zv_a(ji+1,jj) + zv_a(ji+1,jj+1) - zv_a(ji ,jj+1) ) & |
---|
| 446 | & - akappa(ji,jj,1,2) * ( zu_a(ji+1,jj) + zu_a(ji+1,jj+1) + zu_a(ji ,jj+1) ) |
---|
[2528] | 447 | zvis11 = 2._wp * zviseta (ji,jj) + dm |
---|
| 448 | zvis22 = zviszeta(ji,jj) - zviseta(ji,jj) |
---|
| 449 | zvis12 = zviseta (ji,jj) + dm |
---|
| 450 | zvis21 = zviseta (ji,jj) |
---|
[3] | 451 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 452 | zs11_22 = zvis11 * ze11 + zdiag |
---|
| 453 | zs12_22 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 454 | zs22_22 = zvis11 * ze22 + zdiag |
---|
| 455 | zs21_22 = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 456 | |
---|
[888] | 457 | ! 2nd part |
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| 458 | 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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| 459 | & + akappa(ji-1,jj-1,1,2) * ( zv_a(ji ,jj-1) + zv_a(ji-1,jj-1) + zv_a(ji-1,jj) ) |
---|
| 460 | ze12 = - akappa(ji-1,jj-1,2,2) * ( zu_a(ji-1,jj-1) + zu_a(ji ,jj-1) - zu_a(ji-1,jj) ) & |
---|
| 461 | & - akappa(ji-1,jj-1,2,1) * ( zv_a(ji-1,jj-1) + zv_a(ji ,jj-1) + zv_a(ji-1,jj) ) |
---|
| 462 | 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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| 463 | & + 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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| 464 | 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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| 465 | & - akappa(ji-1,jj-1,1,2) * ( zu_a(ji ,jj-1) + zu_a(ji-1,jj-1) + zu_a(ji-1,jj) ) |
---|
[2528] | 466 | zvis11 = 2._wp * zviseta (ji-1,jj-1) + dm |
---|
| 467 | zvis22 = zviszeta(ji-1,jj-1) - zviseta(ji-1,jj-1) |
---|
| 468 | zvis12 = zviseta (ji-1,jj-1) + dm |
---|
| 469 | zvis21 = zviseta (ji-1,jj-1) |
---|
[3] | 470 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 471 | zs11_11 = zvis11 * ze11 + zdiag |
---|
| 472 | zs12_11 = zvis12 * ze12 + zvis21 * ze21 |
---|
| 473 | zs22_11 = zvis11 * ze22 + zdiag |
---|
| 474 | zs21_11 = zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 475 | |
---|
[888] | 476 | ze11 = akappa(ji,jj-1,1,1) * ( zu_a(ji+1,jj-1) - zu_a(ji ,jj-1) ) & |
---|
| 477 | & + akappa(ji,jj-1,1,2) * ( zv_a(ji+1,jj-1) + zv_a(ji ,jj-1) ) |
---|
| 478 | ze12 = - akappa(ji,jj-1,2,2) * ( zu_a(ji ,jj-1) + zu_a(ji+1,jj-1) ) & |
---|
| 479 | & - akappa(ji,jj-1,2,1) * ( zv_a(ji ,jj-1) + zv_a(ji+1,jj-1) ) |
---|
| 480 | ze22 = - akappa(ji,jj-1,2,2) * ( zv_a(ji ,jj-1) + zv_a(ji+1,jj-1) ) & |
---|
| 481 | & + akappa(ji,jj-1,2,1) * ( zu_a(ji ,jj-1) + zu_a(ji+1,jj-1) ) |
---|
| 482 | ze21 = akappa(ji,jj-1,1,1) * ( zv_a(ji+1,jj-1) - zv_a(ji ,jj-1) ) & |
---|
| 483 | & - akappa(ji,jj-1,1,2) * ( zu_a(ji+1,jj-1) + zu_a(ji ,jj-1) ) |
---|
[2528] | 484 | zvis11 = 2._wp * zviseta (ji,jj-1) + dm |
---|
| 485 | zvis22 = zviszeta(ji,jj-1) - zviseta(ji,jj-1) |
---|
| 486 | zvis12 = zviseta (ji,jj-1) + dm |
---|
| 487 | zvis21 = zviseta (ji,jj-1) |
---|
[3] | 488 | zdiag = zvis22 * ( ze11 + ze22 ) |
---|
[888] | 489 | zs11_21 = zs11_21 + zvis11 * ze11 + zdiag |
---|
| 490 | zs12_21 = zs12_21 + zvis12 * ze12 + zvis21 * ze21 |
---|
| 491 | zs22_21 = zs22_21 + zvis11 * ze22 + zdiag |
---|
| 492 | zs21_21 = zs21_21 + zvis12 * ze21 + zvis21 * ze12 |
---|
[3] | 493 | |
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[888] | 494 | 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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| 495 | 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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| 496 | 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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| 497 | 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] | 498 | zvis11 = 2._wp * zviseta (ji-1,jj) + dm |
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| 499 | zvis22 = zviszeta(ji-1,jj) - zviseta(ji-1,jj) |
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| 500 | zvis12 = zviseta (ji-1,jj) + dm |
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| 501 | zvis21 = zviseta (ji-1,jj) |
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[3] | 502 | zdiag = zvis22 * ( ze11 + ze22 ) |
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[888] | 503 | zs11_12 = zs11_12 + zvis11 * ze11 + zdiag |
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| 504 | zs12_12 = zs12_12 + zvis12 * ze12 + zvis21 * ze21 |
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| 505 | zs22_12 = zs22_12 + zvis11 * ze22 + zdiag |
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| 506 | zs21_12 = zs21_12 + zvis12 * ze21 + zvis21 * ze12 |
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[3] | 507 | |
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[888] | 508 | zd1 = + alambd(ji,jj,2,2,2,1) * zs11_21 + alambd(ji,jj,2,2,2,2) * zs11_22 & |
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| 509 | & - alambd(ji,jj,2,2,1,1) * zs11_11 - alambd(ji,jj,2,2,1,2) * zs11_12 & |
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| 510 | & - alambd(ji,jj,1,1,2,1) * zs12_21 - alambd(ji,jj,1,1,1,1) * zs12_11 & |
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| 511 | & + alambd(ji,jj,1,1,2,2) * zs12_22 + alambd(ji,jj,1,1,1,2) * zs12_12 & |
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| 512 | & + alambd(ji,jj,1,2,1,1) * zs21_11 + alambd(ji,jj,1,2,2,1) * zs21_21 & |
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| 513 | & + alambd(ji,jj,1,2,1,2) * zs21_12 + alambd(ji,jj,1,2,2,2) * zs21_22 & |
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| 514 | & - alambd(ji,jj,2,1,1,1) * zs22_11 - alambd(ji,jj,2,1,2,1) * zs22_21 & |
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| 515 | & - alambd(ji,jj,2,1,1,2) * zs22_12 - alambd(ji,jj,2,1,2,2) * zs22_22 |
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[3] | 516 | |
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[888] | 517 | zd2 = + alambd(ji,jj,2,2,2,1) * zs21_21 + alambd(ji,jj,2,2,2,2) * zs21_22 & |
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| 518 | & - alambd(ji,jj,2,2,1,1) * zs21_11 - alambd(ji,jj,2,2,1,2) * zs21_12 & |
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| 519 | & - alambd(ji,jj,1,1,2,1) * zs22_21 - alambd(ji,jj,1,1,1,1) * zs22_11 & |
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| 520 | & + alambd(ji,jj,1,1,2,2) * zs22_22 + alambd(ji,jj,1,1,1,2) * zs22_12 & |
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| 521 | & - alambd(ji,jj,1,2,1,1) * zs11_11 - alambd(ji,jj,1,2,2,1) * zs11_21 & |
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| 522 | & - alambd(ji,jj,1,2,1,2) * zs11_12 - alambd(ji,jj,1,2,2,2) * zs11_22 & |
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| 523 | & + alambd(ji,jj,2,1,1,1) * zs12_11 + alambd(ji,jj,2,1,2,1) * zs12_21 & |
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| 524 | & + alambd(ji,jj,2,1,1,2) * zs12_12 + alambd(ji,jj,2,1,2,2) * zs12_22 |
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[3] | 525 | |
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[1470] | 526 | zur = zu_a(ji,jj) - u_oce(ji,jj) |
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| 527 | zvr = zv_a(ji,jj) - v_oce(ji,jj) |
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[888] | 528 | !!!! |
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[2528] | 529 | zmod = SQRT( zur*zur + zvr*zvr ) * ( 1._wp - zfrld(ji,jj) ) |
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[888] | 530 | za = rhoco * zmod |
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| 531 | !!!! |
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[2528] | 532 | !!gm chg resul za = rhoco * SQRT( zur*zur + zvr*zvr ) * ( 1._wp - zfrld(ji,jj) ) |
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[888] | 533 | zac = za * cangvg |
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| 534 | zmpzas = alpha * zcorl(ji,jj) + za * zsang(ji,jj) |
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| 535 | zmassdt = zusdtp * zmass(ji,jj) |
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[2528] | 536 | zcorlal = ( 1._wp - alpha ) * zcorl(ji,jj) |
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[3] | 537 | |
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[888] | 538 | za1 = zmassdt * zu0(ji,jj) + zcorlal * zv0(ji,jj) + za1ct(ji,jj) & |
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[1470] | 539 | & + za * ( cangvg * u_oce(ji,jj) - zsang(ji,jj) * v_oce(ji,jj) ) |
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[888] | 540 | za2 = zmassdt * zv0(ji,jj) - zcorlal * zu0(ji,jj) + za2ct(ji,jj) & |
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[1470] | 541 | & + za * ( cangvg * v_oce(ji,jj) + zsang(ji,jj) * u_oce(ji,jj) ) |
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[888] | 542 | zb1 = zmassdt + zac - zc1u(ji,jj) |
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| 543 | zb2 = zmpzas - zc2u(ji,jj) |
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| 544 | zc1 = zmpzas + zc1v(ji,jj) |
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| 545 | zc2 = zmassdt + zac - zc2v(ji,jj) |
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| 546 | zdeter = zc1 * zb2 + zc2 * zb1 |
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| 547 | zden = SIGN( rone, zdeter) / MAX( epsd , ABS( zdeter ) ) |
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| 548 | zunw = ( ( za1 + zd1 ) * zc2 + ( za2 + zd2 ) * zc1 ) * zden |
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| 549 | zvnw = ( ( za2 + zd2 ) * zb1 - ( za1 + zd1 ) * zb2 ) * zden |
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[2528] | 550 | zmask = ( 1._wp - MAX( rzero, SIGN( rone , 1._wp - zmass(ji,jj) ) ) ) * tmu(ji,jj) |
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[3] | 551 | |
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[888] | 552 | zu_n(ji,jj) = ( zu_a(ji,jj) + om * ( zunw - zu_a(ji,jj) ) * tmu(ji,jj) ) * zmask |
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| 553 | zv_n(ji,jj) = ( zv_a(ji,jj) + om * ( zvnw - zv_a(ji,jj) ) * tmu(ji,jj) ) * zmask |
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[3] | 554 | END DO |
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| 555 | END DO |
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| 556 | |
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[888] | 557 | CALL lbc_lnk( zu_n(:,1:jpj), 'I', -1. ) |
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| 558 | CALL lbc_lnk( zv_n(:,1:jpj), 'I', -1. ) |
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[3] | 559 | |
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[2804] | 560 | #if defined key_agrif |
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| 561 | ! copy the boundary value from u_ice_nst and v_ice_nst to u_ice and v_ice |
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| 562 | ! before next interations |
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| 563 | CALL Agrif_dyn_lim2_copy(zu_n,zv_n) |
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| 564 | #endif |
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| 565 | |
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[888] | 566 | ! Test of Convergence |
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[77] | 567 | DO jj = k_j1+1 , k_jpj-1 |
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[888] | 568 | zresr(:,jj) = MAX( ABS( zu_a(:,jj) - zu_n(:,jj) ) , ABS( zv_a(:,jj) - zv_n(:,jj) ) ) |
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[3] | 569 | END DO |
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[888] | 570 | zresm = MAXVAL( zresr(1:jpi,k_j1+1:k_jpj-1) ) |
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| 571 | !!!! this should be faster on scalar processor |
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| 572 | ! 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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| 573 | ! & 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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| 574 | !!!! |
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[77] | 575 | IF( lk_mpp ) CALL mpp_max( zresm ) ! max over the global domain |
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[3] | 576 | |
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[888] | 577 | DO jj = k_j1, k_jpj |
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| 578 | zu_a(:,jj) = zu_n(:,jj) |
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| 579 | zv_a(:,jj) = zv_n(:,jj) |
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| 580 | END DO |
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[3] | 581 | |
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[888] | 582 | IF( zresm <= resl ) EXIT iflag |
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[3] | 583 | |
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[888] | 584 | ! ! ================ ! |
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| 585 | END DO iflag ! end Relaxation ! |
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| 586 | ! ! ================ ! |
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| 587 | |
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| 588 | IF( zindu == 0 ) THEN ! even iteration |
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| 589 | DO jj = k_j1 , k_jpj-1 |
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| 590 | zu0(:,jj) = zu_a(:,jj) |
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| 591 | zv0(:,jj) = zv_a(:,jj) |
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| 592 | END DO |
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| 593 | ENDIF |
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| 594 | ! ! ==================== ! |
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[3] | 595 | END DO ! end loop over iter ! |
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| 596 | ! ! ==================== ! |
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| 597 | |
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[1470] | 598 | u_ice(:,:) = zu_a(:,1:jpj) |
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| 599 | v_ice(:,:) = zv_a(:,1:jpj) |
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[888] | 600 | |
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[258] | 601 | IF(ln_ctl) THEN |
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| 602 | WRITE(charout,FMT="('lim_rhg : res =',D23.16, ' iter =',I4)") zresm, jter |
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| 603 | CALL prt_ctl_info(charout) |
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[1470] | 604 | CALL prt_ctl(tab2d_1=u_ice, clinfo1=' lim_rhg : u_ice :', tab2d_2=v_ice, clinfo2=' v_ice :') |
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[3] | 605 | ENDIF |
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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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