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