[821] | 1 | MODULE limadv_2 |
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[3] | 2 | !!====================================================================== |
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[821] | 3 | !! *** MODULE limadv_2 *** |
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| 4 | !! LIM 2.0 sea-ice model : sea-ice advection |
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[3] | 5 | !!====================================================================== |
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[1530] | 6 | !! History : OPA ! 2000-01 (LIM) Original code |
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| 7 | !! ! 2001-05 (G. Madec, R. Hordoir) Doctor norm |
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| 8 | !! NEMO 1.0 ! 2003-10 (C. Ethe) F90, module |
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| 9 | !! - ! 2003-12 (R. Hordoir, G. Madec) mpp |
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| 10 | !! 3.2 ! 2009-06 (F. Dupont) correct a error in the North fold b. c. |
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| 11 | !!-------------------------------------------------------------------- |
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[821] | 12 | #if defined key_lim2 |
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[3] | 13 | !!---------------------------------------------------------------------- |
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[821] | 14 | !! 'key_lim2' LIM 2.0 sea-ice model |
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[88] | 15 | !!---------------------------------------------------------------------- |
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[821] | 16 | !! lim_adv_x_2 : advection of sea ice on x axis |
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| 17 | !! lim_adv_y_2 : advection of sea ice on y axis |
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[3] | 18 | !!---------------------------------------------------------------------- |
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| 19 | USE dom_oce |
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[821] | 20 | USE dom_ice_2 |
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[1465] | 21 | USE ice_2 |
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[3] | 22 | USE lbclnk |
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[1530] | 23 | USE in_out_manager ! I/O manager |
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[2636] | 24 | USE lib_mpp ! MPP library |
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[1530] | 25 | USE prtctl ! Print control |
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[3] | 26 | |
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| 27 | IMPLICIT NONE |
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| 28 | PRIVATE |
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| 29 | |
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[1530] | 30 | PUBLIC lim_adv_x_2 ! called by lim_trp |
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| 31 | PUBLIC lim_adv_y_2 ! called by lim_trp |
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[3] | 32 | |
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[1530] | 33 | REAL(wp) :: epsi20 = 1.e-20 ! constant values |
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| 34 | REAL(wp) :: rzero = 0.e0 ! - - |
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| 35 | REAL(wp) :: rone = 1.e0 ! - - |
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| 36 | |
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[1529] | 37 | !! * Substitutions |
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| 38 | # include "vectopt_loop_substitute.h90" |
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[3] | 39 | !!---------------------------------------------------------------------- |
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[2528] | 40 | !! NEMO/LIM2 3.3 , UCL - NEMO Consortium (2010) |
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[1156] | 41 | !! $Id$ |
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[2528] | 42 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 43 | !!---------------------------------------------------------------------- |
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| 44 | |
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| 45 | CONTAINS |
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| 46 | |
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[821] | 47 | SUBROUTINE lim_adv_x_2( pdf, put , pcrh, psm , ps0 , & |
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| 48 | & psx, psxx, psy , psyy, psxy ) |
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[3] | 49 | !!--------------------------------------------------------------------- |
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[821] | 50 | !! ** routine lim_adv_x_2 ** |
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[3] | 51 | !! |
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| 52 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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[1530] | 53 | !! variable on i-axis |
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[3] | 54 | !! |
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[1530] | 55 | !! ** method : Uses Prather second order scheme that advects tracers |
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| 56 | !! but also theirquadratic forms. The method preserves |
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| 57 | !! tracer structures by conserving second order moments. |
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| 58 | !! |
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| 59 | !! Reference: Prather, 1986, JGR, 91, D6. 6671-6681. |
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[3] | 60 | !!-------------------------------------------------------------------- |
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[2633] | 61 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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[2613] | 62 | USE wrk_nemo, ONLY: zf0 => wrk_2d_11 , zfx => wrk_2d_12 , zfy => wrk_2d_13 , zbet => wrk_2d_14 ! 2D workspace |
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| 63 | USE wrk_nemo, ONLY: zfm => wrk_2d_15 , zfxx => wrk_2d_16 , zfyy => wrk_2d_17 , zfxy => wrk_2d_18 ! - - |
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| 64 | USE wrk_nemo, ONLY: zalg => wrk_2d_19 , zalg1 => wrk_2d_20 , zalg1q => wrk_2d_21 ! - - |
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| 65 | ! |
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[1530] | 66 | REAL(wp) , INTENT(in ) :: pdf ! reduction factor for the time step |
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| 67 | REAL(wp) , INTENT(in ) :: pcrh ! call lim_adv_x then lim_adv_y (=1) or the opposite (=0) |
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| 68 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: put ! i-direction ice velocity at U-point [m/s] |
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| 69 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psm ! area |
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| 70 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ps0 ! field to be advected |
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| 71 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psx , psy ! 1st moments |
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| 72 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments |
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[2613] | 73 | ! |
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[1530] | 74 | INTEGER :: ji, jj ! dummy loop indices |
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| 75 | REAL(wp) :: zs1max, zrdt, zslpmax, ztemp, zin0 ! temporary scalars |
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| 76 | REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - |
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| 77 | REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - |
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[3] | 78 | !--------------------------------------------------------------------- |
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| 79 | |
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[2633] | 80 | IF( wrk_in_use(2, 11,12,13,14,15,16,17,18,19,20,21) ) THEN |
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[2613] | 81 | CALL ctl_stop( 'lim_adv_x_2 : requested workspace arrays unavailable.' ) ; RETURN |
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[2636] | 82 | ENDIF |
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[2590] | 83 | |
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[3] | 84 | ! Limitation of moments. |
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| 85 | |
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[1530] | 86 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
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[3] | 87 | |
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| 88 | DO jj = 1, jpj |
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| 89 | DO ji = 1, jpi |
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| 90 | zslpmax = MAX( rzero, ps0(ji,jj) ) |
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| 91 | zs1max = 1.5 * zslpmax |
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| 92 | zs1new = MIN( zs1max, MAX( -zs1max, psx(ji,jj) ) ) |
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| 93 | zs2new = MIN( 2.0 * zslpmax - 0.3334 * ABS( zs1new ), & |
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| 94 | & MAX( ABS( zs1new ) - zslpmax, psxx(ji,jj) ) ) |
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| 95 | zin0 = ( 1.0 - MAX( rzero, sign ( rone, -zslpmax) ) ) * tms(ji,jj) ! Case of empty boxes & Apply mask |
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[1530] | 96 | ! |
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[3] | 97 | ps0 (ji,jj) = zslpmax |
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| 98 | psx (ji,jj) = zs1new * zin0 |
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| 99 | psxx(ji,jj) = zs2new * zin0 |
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| 100 | psy (ji,jj) = psy (ji,jj) * zin0 |
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| 101 | psyy(ji,jj) = psyy(ji,jj) * zin0 |
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| 102 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * zin0 |
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| 103 | END DO |
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| 104 | END DO |
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| 105 | |
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| 106 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
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| 107 | psm (:,:) = MAX( pcrh * area(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
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| 108 | |
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| 109 | ! Calculate fluxes and moments between boxes i<-->i+1 |
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[1529] | 110 | DO jj = 1, jpj ! Flux from i to i+1 WHEN u GT 0 |
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[3] | 111 | DO ji = 1, jpi |
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| 112 | zbet(ji,jj) = MAX( rzero, SIGN( rone, put(ji,jj) ) ) |
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| 113 | zalf = MAX( rzero, put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji,jj) |
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| 114 | zalfq = zalf * zalf |
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| 115 | zalf1 = 1.0 - zalf |
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| 116 | zalf1q = zalf1 * zalf1 |
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[1530] | 117 | ! |
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[3] | 118 | zfm (ji,jj) = zalf * psm(ji,jj) |
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| 119 | zf0 (ji,jj) = zalf * ( ps0(ji,jj) + zalf1 * ( psx(ji,jj) + (zalf1 - zalf) * psxx(ji,jj) ) ) |
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| 120 | zfx (ji,jj) = zalfq * ( psx(ji,jj) + 3.0 * zalf1 * psxx(ji,jj) ) |
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| 121 | zfxx(ji,jj) = zalf * zalfq * psxx(ji,jj) |
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| 122 | zfy (ji,jj) = zalf * ( psy(ji,jj) + zalf1 * psxy(ji,jj) ) |
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| 123 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
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| 124 | zfyy(ji,jj) = zalf * psyy(ji,jj) |
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[1530] | 125 | ! |
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[3] | 126 | ! Readjust moments remaining in the box. |
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| 127 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
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| 128 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
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| 129 | psx (ji,jj) = zalf1q * ( psx(ji,jj) - 3.0 * zalf * psxx(ji,jj) ) |
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| 130 | psxx(ji,jj) = zalf1 * zalf1q * psxx(ji,jj) |
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| 131 | psy (ji,jj) = psy (ji,jj) - zfy(ji,jj) |
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| 132 | psyy(ji,jj) = psyy(ji,jj) - zfyy(ji,jj) |
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| 133 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
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| 134 | END DO |
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| 135 | END DO |
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| 136 | |
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[1529] | 137 | DO jj = 1, jpjm1 ! Flux from i+1 to i when u LT 0. |
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| 138 | DO ji = 1, fs_jpim1 |
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[3] | 139 | zalf = MAX( rzero, -put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji+1,jj) |
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| 140 | zalg (ji,jj) = zalf |
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| 141 | zalfq = zalf * zalf |
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| 142 | zalf1 = 1.0 - zalf |
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| 143 | zalg1 (ji,jj) = zalf1 |
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| 144 | zalf1q = zalf1 * zalf1 |
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| 145 | zalg1q(ji,jj) = zalf1q |
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| 146 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm(ji+1,jj) |
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| 147 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0(ji+1,jj) - zalf1 * ( psx(ji+1,jj) - (zalf1 - zalf ) * psxx(ji+1,jj) ) ) |
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| 148 | zfx (ji,jj) = zfx (ji,jj) + zalfq * ( psx(ji+1,jj) - 3.0 * zalf1 * psxx(ji+1,jj) ) |
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| 149 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * zalfq * psxx(ji+1,jj) |
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| 150 | zfy (ji,jj) = zfy (ji,jj) + zalf * ( psy(ji+1,jj) - zalf1 * psxy(ji+1,jj) ) |
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| 151 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji+1,jj) |
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| 152 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji+1,jj) |
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| 153 | END DO |
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| 154 | END DO |
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| 155 | |
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| 156 | DO jj = 2, jpjm1 ! Readjust moments remaining in the box. |
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[1529] | 157 | DO ji = fs_2, fs_jpim1 |
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[3] | 158 | zbt = zbet(ji-1,jj) |
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| 159 | zbt1 = 1.0 - zbet(ji-1,jj) |
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| 160 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji-1,jj) ) |
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| 161 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji-1,jj) ) |
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| 162 | psx (ji,jj) = zalg1q(ji-1,jj) * ( psx(ji,jj) + 3.0 * zalg(ji-1,jj) * psxx(ji,jj) ) |
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| 163 | psxx(ji,jj) = zalg1 (ji-1,jj) * zalg1q(ji-1,jj) * psxx(ji,jj) |
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| 164 | psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) - zfy (ji-1,jj) ) |
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| 165 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) - zfyy(ji-1,jj) ) |
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| 166 | psxy(ji,jj) = zalg1q(ji-1,jj) * psxy(ji,jj) |
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| 167 | END DO |
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| 168 | END DO |
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| 169 | |
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| 170 | ! Put the temporary moments into appropriate neighboring boxes. |
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| 171 | DO jj = 2, jpjm1 ! Flux from i to i+1 IF u GT 0. |
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[1529] | 172 | DO ji = fs_2, fs_jpim1 |
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[3] | 173 | zbt = zbet(ji-1,jj) |
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| 174 | zbt1 = 1.0 - zbet(ji-1,jj) |
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| 175 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji-1,jj) ) + zbt1 * psm(ji,jj) |
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| 176 | zalf = zbt * zfm(ji-1,jj) / psm(ji,jj) |
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| 177 | zalf1 = 1.0 - zalf |
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| 178 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji-1,jj) |
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[1530] | 179 | ! |
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| 180 | ps0 (ji,jj) = zbt * (ps0(ji,jj) + zf0(ji-1,jj)) + zbt1 * ps0(ji,jj) |
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| 181 | psx (ji,jj) = zbt * ( zalf * zfx(ji-1,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) + zbt1 * psx(ji,jj) |
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| 182 | psxx(ji,jj) = zbt * ( zalf * zalf * zfxx(ji-1,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
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[3] | 183 | & + 5.0 * ( zalf * zalf1 * ( psx (ji,jj) - zfx(ji-1,jj) ) - ( zalf1 - zalf ) * ztemp ) ) & |
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| 184 | & + zbt1 * psxx(ji,jj) |
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| 185 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji-1,jj) + zalf1 * psxy(ji,jj) & |
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| 186 | & + 3.0 * (- zalf1*zfy(ji-1,jj) + zalf * psy(ji,jj) ) ) & |
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| 187 | & + zbt1 * psxy(ji,jj) |
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| 188 | psy (ji,jj) = zbt * ( psy (ji,jj) + zfy (ji-1,jj) ) + zbt1 * psy (ji,jj) |
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| 189 | psyy(ji,jj) = zbt * ( psyy(ji,jj) + zfyy(ji-1,jj) ) + zbt1 * psyy(ji,jj) |
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| 190 | END DO |
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| 191 | END DO |
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| 192 | |
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| 193 | DO jj = 2, jpjm1 ! Flux from i+1 to i IF u LT 0. |
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[1529] | 194 | DO ji = fs_2, fs_jpim1 |
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[3] | 195 | zbt = zbet(ji,jj) |
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| 196 | zbt1 = 1.0 - zbet(ji,jj) |
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| 197 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
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| 198 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
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| 199 | zalf1 = 1.0 - zalf |
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| 200 | ztemp = -zalf * ps0(ji,jj) + zalf1 * zf0(ji,jj) |
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[1530] | 201 | ! |
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| 202 | ps0(ji,jj) = zbt * ps0 (ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
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| 203 | psx(ji,jj) = zbt * psx (ji,jj) + zbt1 * ( zalf * zfx(ji,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) |
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| 204 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( zalf * zalf * zfxx(ji,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
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| 205 | & + 5.0 *( zalf * zalf1 * ( - psx(ji,jj) + zfx(ji,jj) ) & |
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| 206 | & + ( zalf1 - zalf ) * ztemp ) ) |
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| 207 | psxy(ji,jj) = zbt * psxy(ji,jj) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
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| 208 | & + 3.0 * ( zalf1 * zfy(ji,jj) - zalf * psy(ji,jj) ) ) |
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| 209 | psy(ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) + zfy (ji,jj) ) |
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| 210 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) + zfyy(ji,jj) ) |
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[3] | 211 | END DO |
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| 212 | END DO |
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| 213 | |
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| 214 | !-- Lateral boundary conditions |
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[1530] | 215 | CALL lbc_lnk( psm , 'T', 1. ) ; CALL lbc_lnk( ps0 , 'T', 1. ) |
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| 216 | CALL lbc_lnk( psx , 'T', -1. ) ; CALL lbc_lnk( psy , 'T', -1. ) ! caution gradient ==> the sign changes |
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| 217 | CALL lbc_lnk( psxx, 'T', 1. ) ; CALL lbc_lnk( psyy, 'T', 1. ) |
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[1510] | 218 | CALL lbc_lnk( psxy, 'T', 1. ) |
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[3] | 219 | |
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[1529] | 220 | IF(ln_ctl) THEN |
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[258] | 221 | CALL prt_ctl(tab2d_1=psm , clinfo1=' lim_adv_x: psm :', tab2d_2=ps0 , clinfo2=' ps0 : ') |
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| 222 | CALL prt_ctl(tab2d_1=psx , clinfo1=' lim_adv_x: psx :', tab2d_2=psxx, clinfo2=' psxx : ') |
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| 223 | CALL prt_ctl(tab2d_1=psy , clinfo1=' lim_adv_x: psy :', tab2d_2=psyy, clinfo2=' psyy : ') |
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| 224 | CALL prt_ctl(tab2d_1=psxy , clinfo1=' lim_adv_x: psxy :') |
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[3] | 225 | ENDIF |
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[1530] | 226 | ! |
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[2636] | 227 | IF( wrk_not_released(2, 11,12,13,14,15,16,17,18,19,20,21) ) & |
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| 228 | CALL ctl_stop( 'lim_adv_x_2 : failed to release workspace arrays.' ) |
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[2590] | 229 | ! |
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[821] | 230 | END SUBROUTINE lim_adv_x_2 |
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[3] | 231 | |
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| 232 | |
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[821] | 233 | SUBROUTINE lim_adv_y_2( pdf, pvt , pcrh, psm , ps0 , & |
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| 234 | & psx, psxx, psy , psyy, psxy ) |
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[3] | 235 | !!--------------------------------------------------------------------- |
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[821] | 236 | !! ** routine lim_adv_y_2 ** |
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[3] | 237 | !! |
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| 238 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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[1530] | 239 | !! variable on j-axis |
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[3] | 240 | !! |
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| 241 | !! ** method : Uses Prather second order scheme that advects tracers |
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[1530] | 242 | !! but also their quadratic forms. The method preserves |
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| 243 | !! tracer structures by conserving second order moments. |
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[3] | 244 | !! |
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[1530] | 245 | !! Reference: Prather, 1986, JGR, 91, D6. 6671-6681. |
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[3] | 246 | !!--------------------------------------------------------------------- |
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[2633] | 247 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
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[2613] | 248 | USE wrk_nemo, ONLY: zf0 => wrk_2d_11 , zfx => wrk_2d_12 , zfy => wrk_2d_13 , zbet => wrk_2d_14 ! 2D workspace |
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| 249 | USE wrk_nemo, ONLY: zfm => wrk_2d_15 , zfxx => wrk_2d_16 , zfyy => wrk_2d_17 , zfxy => wrk_2d_18 ! - - |
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| 250 | USE wrk_nemo, ONLY: zalg => wrk_2d_19 , zalg1 => wrk_2d_20 , zalg1q => wrk_2d_21 ! - - |
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[2590] | 251 | !! |
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[1530] | 252 | REAL(wp) , INTENT(in ) :: pdf ! reduction factor for the time step |
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| 253 | REAL(wp) , INTENT(in ) :: pcrh ! call lim_adv_x then lim_adv_y (=1) or the opposite (=0) |
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| 254 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pvt ! j-direction ice velocity at V-point [m/s] |
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| 255 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psm ! area |
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| 256 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ps0 ! field to be advected |
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| 257 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psx , psy ! 1st moments |
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| 258 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments |
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| 259 | !! |
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| 260 | INTEGER :: ji, jj ! dummy loop indices |
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| 261 | REAL(wp) :: zs1max, zrdt, zslpmax, ztemp, zin0 ! temporary scalars |
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| 262 | REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - |
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| 263 | REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - |
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[3] | 264 | !--------------------------------------------------------------------- |
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| 265 | |
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[2633] | 266 | IF(wrk_in_use(2, 11,12,13,14,15,16,17,18,19,20,21) ) THEN |
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[2613] | 267 | CALL ctl_stop( 'lim_adv_y_2 : requested workspace arrays unavailable.' ) ; RETURN |
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[2590] | 268 | END IF |
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| 269 | |
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[3] | 270 | ! Limitation of moments. |
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| 271 | |
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| 272 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
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| 273 | |
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[1530] | 274 | DO jj = 1, jpj |
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| 275 | DO ji = 1, jpi |
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| 276 | zslpmax = MAX( rzero, ps0(ji,jj) ) |
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| 277 | zs1max = 1.5 * zslpmax |
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| 278 | zs1new = MIN( zs1max, MAX( -zs1max, psy(ji,jj) ) ) |
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| 279 | zs2new = MIN( ( 2.0 * zslpmax - 0.3334 * ABS( zs1new ) ), & |
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| 280 | & MAX( ABS( zs1new )-zslpmax, psyy(ji,jj) ) ) |
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| 281 | zin0 = ( 1.0 - MAX( rzero, sign ( rone, -zslpmax) ) ) * tms(ji,jj) ! Case of empty boxes & Apply mask |
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| 282 | ! |
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| 283 | ps0 (ji,jj) = zslpmax |
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| 284 | psx (ji,jj) = psx (ji,jj) * zin0 |
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| 285 | psxx(ji,jj) = psxx(ji,jj) * zin0 |
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| 286 | psy (ji,jj) = zs1new * zin0 |
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| 287 | psyy(ji,jj) = zs2new * zin0 |
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| 288 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * zin0 |
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| 289 | END DO |
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| 290 | END DO |
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[3] | 291 | |
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[1530] | 292 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
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| 293 | psm(:,:) = MAX( pcrh * area(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
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[3] | 294 | |
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[1530] | 295 | ! Calculate fluxes and moments between boxes j<-->j+1 |
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| 296 | DO jj = 1, jpj ! Flux from j to j+1 WHEN v GT 0 |
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| 297 | DO ji = 1, jpi |
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| 298 | zbet(ji,jj) = MAX( rzero, SIGN( rone, pvt(ji,jj) ) ) |
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| 299 | zalf = MAX( rzero, pvt(ji,jj) ) * zrdt * e1v(ji,jj) / psm(ji,jj) |
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| 300 | zalfq = zalf * zalf |
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| 301 | zalf1 = 1.0 - zalf |
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| 302 | zalf1q = zalf1 * zalf1 |
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| 303 | zfm (ji,jj) = zalf * psm(ji,jj) |
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| 304 | zf0 (ji,jj) = zalf * ( ps0(ji,jj) + zalf1 * ( psy(ji,jj) + (zalf1-zalf) * psyy(ji,jj) ) ) |
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| 305 | zfy (ji,jj) = zalfq *( psy(ji,jj) + 3.0*zalf1*psyy(ji,jj) ) |
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| 306 | zfyy(ji,jj) = zalf * zalfq * psyy(ji,jj) |
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| 307 | zfx (ji,jj) = zalf * ( psx(ji,jj) + zalf1 * psxy(ji,jj) ) |
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| 308 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
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| 309 | zfxx(ji,jj) = zalf * psxx(ji,jj) |
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| 310 | ! |
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| 311 | ! Readjust moments remaining in the box. |
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| 312 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
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| 313 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
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| 314 | psy (ji,jj) = zalf1q * ( psy(ji,jj) -3.0 * zalf * psyy(ji,jj) ) |
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| 315 | psyy(ji,jj) = zalf1 * zalf1q * psyy(ji,jj) |
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| 316 | psx (ji,jj) = psx (ji,jj) - zfx(ji,jj) |
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| 317 | psxx(ji,jj) = psxx(ji,jj) - zfxx(ji,jj) |
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| 318 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
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| 319 | END DO |
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| 320 | END DO |
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| 321 | ! |
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| 322 | DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. |
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| 323 | DO ji = 1, jpi |
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| 324 | zalf = ( MAX(rzero, -pvt(ji,jj) ) * zrdt * e1v(ji,jj) ) / psm(ji,jj+1) |
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| 325 | zalg (ji,jj) = zalf |
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| 326 | zalfq = zalf * zalf |
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| 327 | zalf1 = 1.0 - zalf |
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| 328 | zalg1 (ji,jj) = zalf1 |
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| 329 | zalf1q = zalf1 * zalf1 |
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| 330 | zalg1q(ji,jj) = zalf1q |
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| 331 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm(ji,jj+1) |
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| 332 | zf0 (ji,jj) = zf0 (ji,jj) + zalf * ( ps0(ji,jj+1) - zalf1 * (psy(ji,jj+1) - (zalf1 - zalf ) * psyy(ji,jj+1) ) ) |
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| 333 | zfy (ji,jj) = zfy (ji,jj) + zalfq * ( psy(ji,jj+1) - 3.0 * zalf1 * psyy(ji,jj+1) ) |
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| 334 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * zalfq * psyy(ji,jj+1) |
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| 335 | zfx (ji,jj) = zfx (ji,jj) + zalf * ( psx(ji,jj+1) - zalf1 * psxy(ji,jj+1) ) |
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| 336 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji,jj+1) |
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| 337 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji,jj+1) |
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| 338 | END DO |
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| 339 | END DO |
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[3] | 340 | |
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[1530] | 341 | ! Readjust moments remaining in the box. |
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| 342 | DO jj = 2, jpj |
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| 343 | DO ji = 1, jpi |
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| 344 | zbt = zbet(ji,jj-1) |
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| 345 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
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| 346 | ! |
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| 347 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji,jj-1) ) |
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| 348 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji,jj-1) ) |
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| 349 | psy (ji,jj) = zalg1q(ji,jj-1) * ( psy(ji,jj) + 3.0 * zalg(ji,jj-1) * psyy(ji,jj) ) |
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| 350 | psyy(ji,jj) = zalg1 (ji,jj-1) * zalg1q(ji,jj-1) * psyy(ji,jj) |
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| 351 | psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) - zfx (ji,jj-1) ) |
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| 352 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) - zfxx(ji,jj-1) ) |
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| 353 | psxy(ji,jj) = zalg1q(ji,jj-1) * psxy(ji,jj) |
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| 354 | END DO |
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| 355 | END DO |
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[3] | 356 | |
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[1530] | 357 | ! Put the temporary moments into appropriate neighboring boxes. |
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| 358 | DO jj = 2, jpjm1 ! Flux from j to j+1 IF v GT 0. |
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| 359 | DO ji = 1, jpi |
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| 360 | zbt = zbet(ji,jj-1) |
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| 361 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
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| 362 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji,jj-1) ) + zbt1 * psm(ji,jj) |
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| 363 | zalf = zbt * zfm(ji,jj-1) / psm(ji,jj) |
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| 364 | zalf1 = 1.0 - zalf |
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| 365 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji,jj-1) |
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| 366 | ! |
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| 367 | ps0(ji,jj) = zbt * (ps0(ji,jj) + zf0(ji,jj-1)) + zbt1 * ps0(ji,jj) |
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| 368 | psy(ji,jj) = zbt * ( zalf * zfy(ji,jj-1) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) & |
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| 369 | & + zbt1 * psy(ji,jj) |
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| 370 | psyy(ji,jj) = zbt * ( zalf * zalf * zfyy(ji,jj-1) + zalf1 * zalf1 * psyy(ji,jj) & |
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| 371 | & + 5.0 * ( zalf * zalf1 * ( psy(ji,jj) - zfy(ji,jj-1) ) - ( zalf1 - zalf ) * ztemp ) ) & |
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| 372 | & + zbt1 * psyy(ji,jj) |
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| 373 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji,jj-1) + zalf1 * psxy(ji,jj) & |
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| 374 | & + 3.0 * (- zalf1 * zfx(ji,jj-1) + zalf * psx(ji,jj) ) ) & |
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| 375 | & + zbt1 * psxy(ji,jj) |
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| 376 | psx (ji,jj) = zbt * ( psx (ji,jj) + zfx (ji,jj-1) ) + zbt1 * psx (ji,jj) |
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| 377 | psxx(ji,jj) = zbt * ( psxx(ji,jj) + zfxx(ji,jj-1) ) + zbt1 * psxx(ji,jj) |
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| 378 | END DO |
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| 379 | END DO |
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| 380 | ! |
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| 381 | DO jj = 2, jpjm1 ! Flux from j+1 to j IF v LT 0. |
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| 382 | DO ji = 1, jpi |
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| 383 | zbt = zbet(ji,jj) |
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| 384 | zbt1 = ( 1.0 - zbet(ji,jj) ) |
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| 385 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
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| 386 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
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| 387 | zalf1 = 1.0 - zalf |
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| 388 | ztemp = -zalf * ps0(ji,jj) + zalf1 * zf0(ji,jj) |
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| 389 | ps0(ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
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| 390 | psy(ji,jj) = zbt * psy(ji,jj) & |
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| 391 | & + zbt1 * ( zalf*zfy(ji,jj) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) |
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| 392 | psyy(ji,jj) = zbt * psyy(ji,jj) & |
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| 393 | & + zbt1 * ( zalf * zalf * zfyy(ji,jj) + zalf1 * zalf1 * psyy(ji,jj) & |
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| 394 | & + 5.0 *( zalf *zalf1 *( -psy(ji,jj) + zfy(ji,jj) ) + ( zalf1 - zalf ) * ztemp ) ) |
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| 395 | psxy(ji,jj) = zbt * psxy(ji,jj) & |
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| 396 | & + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
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| 397 | & + 3.0 * ( zalf1 * zfx(ji,jj) - zalf * psx(ji,jj) ) ) |
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| 398 | psx(ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) + zfx (ji,jj) ) |
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| 399 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) + zfxx(ji,jj) ) |
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| 400 | END DO |
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| 401 | END DO |
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[3] | 402 | |
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| 403 | !-- Lateral boundary conditions |
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[1530] | 404 | CALL lbc_lnk( psm , 'T', 1. ) ; CALL lbc_lnk( ps0 , 'T', 1. ) |
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| 405 | CALL lbc_lnk( psx , 'T', -1. ) ; CALL lbc_lnk( psy , 'T', -1. ) ! caution gradient ==> the sign changes |
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| 406 | CALL lbc_lnk( psxx, 'T', 1. ) ; CALL lbc_lnk( psyy, 'T', 1. ) |
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[1510] | 407 | CALL lbc_lnk( psxy, 'T', 1. ) |
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[3] | 408 | |
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[258] | 409 | IF(ln_ctl) THEN |
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| 410 | CALL prt_ctl(tab2d_1=psm , clinfo1=' lim_adv_y: psm :', tab2d_2=ps0 , clinfo2=' ps0 : ') |
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| 411 | CALL prt_ctl(tab2d_1=psx , clinfo1=' lim_adv_y: psx :', tab2d_2=psxx, clinfo2=' psxx : ') |
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| 412 | CALL prt_ctl(tab2d_1=psy , clinfo1=' lim_adv_y: psy :', tab2d_2=psyy, clinfo2=' psyy : ') |
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| 413 | CALL prt_ctl(tab2d_1=psxy , clinfo1=' lim_adv_y: psxy :') |
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[3] | 414 | ENDIF |
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[1530] | 415 | ! |
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[2633] | 416 | IF( wrk_not_released(2, 11,12,13,14,15,16,17,18,19,20,21) ) THEN |
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[2613] | 417 | CALL ctl_stop( 'lim_adv_y_2 : failed to release workspace arrays.' ) |
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[2590] | 418 | END IF |
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| 419 | ! |
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[821] | 420 | END SUBROUTINE lim_adv_y_2 |
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[3] | 421 | |
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| 422 | #else |
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[88] | 423 | !!---------------------------------------------------------------------- |
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[821] | 424 | !! Default option Dummy module NO LIM 2.0 sea-ice model |
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[88] | 425 | !!---------------------------------------------------------------------- |
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[3] | 426 | #endif |
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| 427 | |
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[1530] | 428 | !!====================================================================== |
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[821] | 429 | END MODULE limadv_2 |
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