| [7309] | 1 | MODULE limadv_prather |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limadv_prather *** |
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| 4 | !! LIM sea-ice model : sea-ice advection => Prather scheme |
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| 5 | !!====================================================================== |
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| 6 | !! History : LIM ! 2008-03 (M. Vancoppenolle) LIM-3 from LIM-2 code |
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| 7 | !! 3.2 ! 2009-06 (F. Dupont) correct a error in the North fold b. c. |
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| 8 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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| 9 | !!-------------------------------------------------------------------- |
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| 10 | #if defined key_lim3 |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | !! 'key_lim3' LIM3 sea-ice model |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! lim_adv_x : advection of sea ice on x axis |
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| 15 | !! lim_adv_y : advection of sea ice on y axis |
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| 16 | !!---------------------------------------------------------------------- |
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| 17 | USE dom_oce ! ocean domain |
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| 18 | USE ice ! LIM-3 variables |
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| 19 | USE lbclnk ! lateral boundary condition - MPP exchanges |
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| 20 | USE in_out_manager ! I/O manager |
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| 21 | USE prtctl ! Print control |
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| 22 | USE lib_mpp ! MPP library |
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| 23 | USE lib_fortran ! to use key_nosignedzero |
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| 24 | |
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| 25 | IMPLICIT NONE |
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| 26 | PRIVATE |
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| 27 | |
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| 28 | PUBLIC lim_adv_x ! called by lim_trp |
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| 29 | PUBLIC lim_adv_y ! called by lim_trp |
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| 30 | |
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| 31 | !! * Substitutions |
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| 32 | # include "vectopt_loop_substitute.h90" |
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| 33 | !!---------------------------------------------------------------------- |
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| 34 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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| 35 | !! $Id: limadv.F90 6746 2016-06-27 17:20:57Z clem $ |
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| 36 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 37 | !!---------------------------------------------------------------------- |
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| 38 | CONTAINS |
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| 39 | |
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| 40 | SUBROUTINE lim_adv_x( pdf, put , pcrh, psm , ps0 , & |
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| 41 | & psx, psxx, psy , psyy, psxy ) |
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| 42 | !!--------------------------------------------------------------------- |
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| 43 | !! ** routine lim_adv_x ** |
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| 44 | !! |
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| 45 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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| 46 | !! variable on i-axis |
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| 47 | !! |
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| 48 | !! ** method : Uses Prather second order scheme that advects tracers |
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| 49 | !! but also theirquadratic forms. The method preserves |
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| 50 | !! tracer structures by conserving second order moments. |
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| 51 | !! |
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| 52 | !! Reference: Prather, 1986, JGR, 91, D6. 6671-6681. |
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| 53 | !!-------------------------------------------------------------------- |
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| 54 | REAL(wp) , INTENT(in ) :: pdf ! reduction factor for the time step |
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| 55 | REAL(wp) , INTENT(in ) :: pcrh ! call lim_adv_x then lim_adv_y (=1) or the opposite (=0) |
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| 56 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: put ! i-direction ice velocity at U-point [m/s] |
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| 57 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psm ! area |
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| 58 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ps0 ! field to be advected |
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| 59 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psx , psy ! 1st moments |
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| 60 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments |
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| 61 | !! |
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| 62 | INTEGER :: ji, jj ! dummy loop indices |
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| 63 | REAL(wp) :: zs1max, zrdt, zslpmax, ztemp ! local scalars |
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| 64 | REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - |
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| 65 | REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - |
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| [7910] | 66 | REAL(wp), DIMENSION(jpi,jpj) :: zf0 , zfx , zfy , zbet ! 2D workspace |
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| 67 | REAL(wp), DIMENSION(jpi,jpj) :: zfm , zfxx , zfyy , zfxy ! - - |
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| 68 | REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - |
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| [7309] | 69 | !--------------------------------------------------------------------- |
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| 70 | |
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| 71 | |
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| 72 | ! Limitation of moments. |
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| 73 | |
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| 74 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
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| 75 | |
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| 76 | DO jj = 1, jpj |
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| 77 | DO ji = 1, jpi |
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| 78 | zslpmax = MAX( 0._wp, ps0(ji,jj) ) |
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| 79 | zs1max = 1.5 * zslpmax |
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| 80 | zs1new = MIN( zs1max, MAX( -zs1max, psx(ji,jj) ) ) |
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| 81 | zs2new = MIN( 2.0 * zslpmax - 0.3334 * ABS( zs1new ), & |
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| 82 | & MAX( ABS( zs1new ) - zslpmax, psxx(ji,jj) ) ) |
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| 83 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask |
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| 84 | |
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| 85 | ps0 (ji,jj) = zslpmax |
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| 86 | psx (ji,jj) = zs1new * rswitch |
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| 87 | psxx(ji,jj) = zs2new * rswitch |
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| 88 | psy (ji,jj) = psy (ji,jj) * rswitch |
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| 89 | psyy(ji,jj) = psyy(ji,jj) * rswitch |
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| 90 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * rswitch |
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| 91 | END DO |
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| 92 | END DO |
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| 93 | |
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| 94 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
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| 95 | psm (:,:) = MAX( pcrh * e1e2t(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
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| 96 | |
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| 97 | ! Calculate fluxes and moments between boxes i<-->i+1 |
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| 98 | DO jj = 1, jpj ! Flux from i to i+1 WHEN u GT 0 |
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| 99 | DO ji = 1, jpi |
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| 100 | zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, put(ji,jj) ) ) |
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| 101 | zalf = MAX( 0._wp, put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji,jj) |
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| 102 | zalfq = zalf * zalf |
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| 103 | zalf1 = 1.0 - zalf |
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| 104 | zalf1q = zalf1 * zalf1 |
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| 105 | ! |
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| 106 | zfm (ji,jj) = zalf * psm (ji,jj) |
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| 107 | zf0 (ji,jj) = zalf * ( ps0 (ji,jj) + zalf1 * ( psx(ji,jj) + (zalf1 - zalf) * psxx(ji,jj) ) ) |
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| 108 | zfx (ji,jj) = zalfq * ( psx (ji,jj) + 3.0 * zalf1 * psxx(ji,jj) ) |
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| 109 | zfxx(ji,jj) = zalf * psxx(ji,jj) * zalfq |
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| 110 | zfy (ji,jj) = zalf * ( psy (ji,jj) + zalf1 * psxy(ji,jj) ) |
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| 111 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
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| 112 | zfyy(ji,jj) = zalf * psyy(ji,jj) |
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| 113 | |
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| 114 | ! Readjust moments remaining in the box. |
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| 115 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
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| 116 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
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| 117 | psx (ji,jj) = zalf1q * ( psx(ji,jj) - 3.0 * zalf * psxx(ji,jj) ) |
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| 118 | psxx(ji,jj) = zalf1 * zalf1q * psxx(ji,jj) |
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| 119 | psy (ji,jj) = psy (ji,jj) - zfy(ji,jj) |
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| 120 | psyy(ji,jj) = psyy(ji,jj) - zfyy(ji,jj) |
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| 121 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
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| 122 | END DO |
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| 123 | END DO |
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| 124 | |
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| 125 | DO jj = 1, jpjm1 ! Flux from i+1 to i when u LT 0. |
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| 126 | DO ji = 1, fs_jpim1 |
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| 127 | zalf = MAX( 0._wp, -put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji+1,jj) |
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| 128 | zalg (ji,jj) = zalf |
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| 129 | zalfq = zalf * zalf |
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| 130 | zalf1 = 1.0 - zalf |
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| 131 | zalg1 (ji,jj) = zalf1 |
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| 132 | zalf1q = zalf1 * zalf1 |
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| 133 | zalg1q(ji,jj) = zalf1q |
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| 134 | ! |
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| 135 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji+1,jj) |
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| 136 | 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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| 137 | zfx (ji,jj) = zfx (ji,jj) + zalfq * ( psx (ji+1,jj) - 3.0 * zalf1 * psxx(ji+1,jj) ) |
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| 138 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji+1,jj) * zalfq |
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| 139 | zfy (ji,jj) = zfy (ji,jj) + zalf * ( psy (ji+1,jj) - zalf1 * psxy(ji+1,jj) ) |
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| 140 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji+1,jj) |
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| 141 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji+1,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 | DO jj = 2, jpjm1 ! Readjust moments remaining in the box. |
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| 146 | DO ji = fs_2, fs_jpim1 |
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| 147 | zbt = zbet(ji-1,jj) |
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| 148 | zbt1 = 1.0 - zbet(ji-1,jj) |
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| 149 | ! |
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| 150 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji-1,jj) ) |
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| 151 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji-1,jj) ) |
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| 152 | psx (ji,jj) = zalg1q(ji-1,jj) * ( psx(ji,jj) + 3.0 * zalg(ji-1,jj) * psxx(ji,jj) ) |
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| 153 | psxx(ji,jj) = zalg1 (ji-1,jj) * zalg1q(ji-1,jj) * psxx(ji,jj) |
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| 154 | psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) - zfy (ji-1,jj) ) |
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| 155 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) - zfyy(ji-1,jj) ) |
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| 156 | psxy(ji,jj) = zalg1q(ji-1,jj) * psxy(ji,jj) |
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| 157 | END DO |
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| 158 | END DO |
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| 159 | |
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| 160 | ! Put the temporary moments into appropriate neighboring boxes. |
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| 161 | DO jj = 2, jpjm1 ! Flux from i to i+1 IF u GT 0. |
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| 162 | DO ji = fs_2, fs_jpim1 |
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| 163 | zbt = zbet(ji-1,jj) |
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| 164 | zbt1 = 1.0 - zbet(ji-1,jj) |
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| 165 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji-1,jj) ) + zbt1 * psm(ji,jj) |
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| 166 | zalf = zbt * zfm(ji-1,jj) / psm(ji,jj) |
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| 167 | zalf1 = 1.0 - zalf |
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| 168 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji-1,jj) |
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| 169 | ! |
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| 170 | ps0 (ji,jj) = zbt * ( ps0(ji,jj) + zf0(ji-1,jj) ) + zbt1 * ps0(ji,jj) |
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| 171 | psx (ji,jj) = zbt * ( zalf * zfx(ji-1,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) + zbt1 * psx(ji,jj) |
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| 172 | psxx(ji,jj) = zbt * ( zalf * zalf * zfxx(ji-1,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
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| 173 | & + 5.0 * ( zalf * zalf1 * ( psx (ji,jj) - zfx(ji-1,jj) ) - ( zalf1 - zalf ) * ztemp ) ) & |
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| 174 | & + zbt1 * psxx(ji,jj) |
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| 175 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji-1,jj) + zalf1 * psxy(ji,jj) & |
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| 176 | & + 3.0 * (- zalf1*zfy(ji-1,jj) + zalf * psy(ji,jj) ) ) & |
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| 177 | & + zbt1 * psxy(ji,jj) |
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| 178 | psy (ji,jj) = zbt * ( psy (ji,jj) + zfy (ji-1,jj) ) + zbt1 * psy (ji,jj) |
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| 179 | psyy(ji,jj) = zbt * ( psyy(ji,jj) + zfyy(ji-1,jj) ) + zbt1 * psyy(ji,jj) |
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| 180 | END DO |
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| 181 | END DO |
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| 182 | |
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| 183 | DO jj = 2, jpjm1 ! Flux from i+1 to i IF u LT 0. |
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| 184 | DO ji = fs_2, fs_jpim1 |
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| 185 | zbt = zbet(ji,jj) |
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| 186 | zbt1 = 1.0 - zbet(ji,jj) |
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| 187 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
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| 188 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
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| 189 | zalf1 = 1.0 - zalf |
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| 190 | ztemp = - zalf * ps0(ji,jj) + zalf1 * zf0(ji,jj) |
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| 191 | ! |
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| 192 | ps0(ji,jj) = zbt * ps0 (ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
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| 193 | psx(ji,jj) = zbt * psx (ji,jj) + zbt1 * ( zalf * zfx(ji,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) |
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| 194 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( zalf * zalf * zfxx(ji,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
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| 195 | & + 5.0 *( zalf * zalf1 * ( - psx(ji,jj) + zfx(ji,jj) ) & |
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| 196 | & + ( zalf1 - zalf ) * ztemp ) ) |
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| 197 | psxy(ji,jj) = zbt * psxy(ji,jj) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
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| 198 | & + 3.0 * ( zalf1 * zfy(ji,jj) - zalf * psy(ji,jj) ) ) |
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| 199 | psy(ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) + zfy (ji,jj) ) |
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| 200 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) + zfyy(ji,jj) ) |
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| 201 | END DO |
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| 202 | END DO |
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| 203 | |
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| 204 | !-- Lateral boundary conditions |
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| 205 | CALL lbc_lnk_multi( psm , 'T', 1., ps0 , 'T', 1. & |
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| 206 | & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes |
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| 207 | & , psxx, 'T', 1., psyy, 'T', 1. & |
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| 208 | & , psxy, 'T', 1. ) |
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| 209 | |
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| 210 | IF(ln_ctl) THEN |
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| 211 | CALL prt_ctl(tab2d_1=psm , clinfo1=' lim_adv_x: psm :', tab2d_2=ps0 , clinfo2=' ps0 : ') |
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| 212 | CALL prt_ctl(tab2d_1=psx , clinfo1=' lim_adv_x: psx :', tab2d_2=psxx, clinfo2=' psxx : ') |
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| 213 | CALL prt_ctl(tab2d_1=psy , clinfo1=' lim_adv_x: psy :', tab2d_2=psyy, clinfo2=' psyy : ') |
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| 214 | CALL prt_ctl(tab2d_1=psxy , clinfo1=' lim_adv_x: psxy :') |
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| 215 | ENDIF |
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| 216 | ! |
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| 217 | ! |
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| 218 | END SUBROUTINE lim_adv_x |
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| 219 | |
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| 220 | |
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| 221 | SUBROUTINE lim_adv_y( pdf, pvt , pcrh, psm , ps0 , & |
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| 222 | & psx, psxx, psy , psyy, psxy ) |
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| 223 | !!--------------------------------------------------------------------- |
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| 224 | !! ** routine lim_adv_y ** |
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| 225 | !! |
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| 226 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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| 227 | !! variable on y axis |
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| 228 | !! |
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| 229 | !! ** method : Uses Prather second order scheme that advects tracers |
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| 230 | !! but also their quadratic forms. The method preserves |
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| 231 | !! tracer structures by conserving second order moments. |
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| 232 | !! |
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| 233 | !! Reference: Prather, 1986, JGR, 91, D6. 6671-6681. |
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| 234 | !!--------------------------------------------------------------------- |
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| 235 | REAL(wp) , INTENT(in ) :: pdf ! reduction factor for the time step |
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| 236 | REAL(wp) , INTENT(in ) :: pcrh ! call lim_adv_x then lim_adv_y (=1) or the opposite (=0) |
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| 237 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: pvt ! j-direction ice velocity at V-point [m/s] |
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| 238 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psm ! area |
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| 239 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: ps0 ! field to be advected |
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| 240 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psx , psy ! 1st moments |
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| 241 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: psxx, psyy, psxy ! 2nd moments |
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| 242 | !! |
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| 243 | INTEGER :: ji, jj ! dummy loop indices |
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| 244 | REAL(wp) :: zs1max, zrdt, zslpmax, ztemp ! temporary scalars |
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| 245 | REAL(wp) :: zs1new, zalf , zalfq , zbt ! - - |
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| 246 | REAL(wp) :: zs2new, zalf1, zalf1q, zbt1 ! - - |
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| [7910] | 247 | REAL(wp), DIMENSION(jpi,jpj) :: zf0, zfx , zfy , zbet ! 2D workspace |
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| 248 | REAL(wp), DIMENSION(jpi,jpj) :: zfm, zfxx, zfyy, zfxy ! - - |
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| 249 | REAL(wp), DIMENSION(jpi,jpj) :: zalg, zalg1, zalg1q ! - - |
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| [7309] | 250 | !--------------------------------------------------------------------- |
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| 251 | |
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| 252 | |
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| 253 | ! Limitation of moments. |
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| 254 | |
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| 255 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
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| 256 | |
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| 257 | DO jj = 1, jpj |
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| 258 | DO ji = 1, jpi |
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| 259 | zslpmax = MAX( 0._wp, ps0(ji,jj) ) |
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| 260 | zs1max = 1.5 * zslpmax |
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| 261 | zs1new = MIN( zs1max, MAX( -zs1max, psy(ji,jj) ) ) |
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| 262 | zs2new = MIN( ( 2.0 * zslpmax - 0.3334 * ABS( zs1new ) ), & |
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| 263 | & MAX( ABS( zs1new )-zslpmax, psyy(ji,jj) ) ) |
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| 264 | rswitch = ( 1.0 - MAX( 0._wp, SIGN( 1._wp, -zslpmax) ) ) * tmask(ji,jj,1) ! Case of empty boxes & Apply mask |
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| 265 | ! |
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| 266 | ps0 (ji,jj) = zslpmax |
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| 267 | psx (ji,jj) = psx (ji,jj) * rswitch |
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| 268 | psxx(ji,jj) = psxx(ji,jj) * rswitch |
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| 269 | psy (ji,jj) = zs1new * rswitch |
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| 270 | psyy(ji,jj) = zs2new * rswitch |
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| 271 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * rswitch |
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| 272 | END DO |
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| 273 | END DO |
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| 274 | |
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| 275 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
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| 276 | psm(:,:) = MAX( pcrh * e1e2t(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
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| 277 | |
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| 278 | ! Calculate fluxes and moments between boxes j<-->j+1 |
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| 279 | DO jj = 1, jpj ! Flux from j to j+1 WHEN v GT 0 |
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| 280 | DO ji = 1, jpi |
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| 281 | zbet(ji,jj) = MAX( 0._wp, SIGN( 1._wp, pvt(ji,jj) ) ) |
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| 282 | zalf = MAX( 0._wp, pvt(ji,jj) ) * zrdt * e1v(ji,jj) / psm(ji,jj) |
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| 283 | zalfq = zalf * zalf |
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| 284 | zalf1 = 1.0 - zalf |
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| 285 | zalf1q = zalf1 * zalf1 |
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| 286 | ! |
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| 287 | zfm (ji,jj) = zalf * psm(ji,jj) |
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| 288 | zf0 (ji,jj) = zalf * ( ps0(ji,jj) + zalf1 * ( psy(ji,jj) + (zalf1-zalf) * psyy(ji,jj) ) ) |
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| 289 | zfy (ji,jj) = zalfq *( psy(ji,jj) + 3.0*zalf1*psyy(ji,jj) ) |
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| 290 | zfyy(ji,jj) = zalf * zalfq * psyy(ji,jj) |
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| 291 | zfx (ji,jj) = zalf * ( psx(ji,jj) + zalf1 * psxy(ji,jj) ) |
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| 292 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
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| 293 | zfxx(ji,jj) = zalf * psxx(ji,jj) |
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| 294 | ! |
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| 295 | ! Readjust moments remaining in the box. |
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| 296 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
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| 297 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
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| 298 | psy (ji,jj) = zalf1q * ( psy(ji,jj) -3.0 * zalf * psyy(ji,jj) ) |
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| 299 | psyy(ji,jj) = zalf1 * zalf1q * psyy(ji,jj) |
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| 300 | psx (ji,jj) = psx (ji,jj) - zfx(ji,jj) |
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| 301 | psxx(ji,jj) = psxx(ji,jj) - zfxx(ji,jj) |
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| 302 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
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| 303 | END DO |
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| 304 | END DO |
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| 305 | ! |
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| 306 | DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. |
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| 307 | DO ji = 1, jpi |
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| 308 | zalf = ( MAX(0._wp, -pvt(ji,jj) ) * zrdt * e1v(ji,jj) ) / psm(ji,jj+1) |
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| 309 | zalg (ji,jj) = zalf |
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| 310 | zalfq = zalf * zalf |
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| 311 | zalf1 = 1.0 - zalf |
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| 312 | zalg1 (ji,jj) = zalf1 |
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| 313 | zalf1q = zalf1 * zalf1 |
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| 314 | zalg1q(ji,jj) = zalf1q |
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| 315 | ! |
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| 316 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm (ji,jj+1) |
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| 317 | 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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| 318 | zfy (ji,jj) = zfy (ji,jj) + zalfq * ( psy (ji,jj+1) - 3.0 * zalf1 * psyy(ji,jj+1) ) |
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| 319 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji,jj+1) * zalfq |
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| 320 | zfx (ji,jj) = zfx (ji,jj) + zalf * ( psx (ji,jj+1) - zalf1 * psxy(ji,jj+1) ) |
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| 321 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji,jj+1) |
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| 322 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji,jj+1) |
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| 323 | END DO |
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| 324 | END DO |
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| 325 | |
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| 326 | ! Readjust moments remaining in the box. |
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| 327 | DO jj = 2, jpj |
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| 328 | DO ji = 1, jpi |
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| 329 | zbt = zbet(ji,jj-1) |
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| 330 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
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| 331 | ! |
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| 332 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji,jj-1) ) |
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| 333 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji,jj-1) ) |
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| 334 | psy (ji,jj) = zalg1q(ji,jj-1) * ( psy(ji,jj) + 3.0 * zalg(ji,jj-1) * psyy(ji,jj) ) |
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| 335 | psyy(ji,jj) = zalg1 (ji,jj-1) * zalg1q(ji,jj-1) * psyy(ji,jj) |
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| 336 | psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) - zfx (ji,jj-1) ) |
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| 337 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) - zfxx(ji,jj-1) ) |
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| 338 | psxy(ji,jj) = zalg1q(ji,jj-1) * psxy(ji,jj) |
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| 339 | END DO |
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| 340 | END DO |
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| 341 | |
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| 342 | ! Put the temporary moments into appropriate neighboring boxes. |
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| 343 | DO jj = 2, jpjm1 ! Flux from j to j+1 IF v GT 0. |
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| 344 | DO ji = 1, jpi |
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| 345 | zbt = zbet(ji,jj-1) |
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| 346 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
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| 347 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji,jj-1) ) + zbt1 * psm(ji,jj) |
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| 348 | zalf = zbt * zfm(ji,jj-1) / psm(ji,jj) |
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| 349 | zalf1 = 1.0 - zalf |
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| 350 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji,jj-1) |
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| 351 | ! |
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| 352 | ps0(ji,jj) = zbt * ( ps0(ji,jj) + zf0(ji,jj-1) ) + zbt1 * ps0(ji,jj) |
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| 353 | psy(ji,jj) = zbt * ( zalf * zfy(ji,jj-1) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) & |
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| 354 | & + zbt1 * psy(ji,jj) |
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| 355 | psyy(ji,jj) = zbt * ( zalf * zalf * zfyy(ji,jj-1) + zalf1 * zalf1 * psyy(ji,jj) & |
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| 356 | & + 5.0 * ( zalf * zalf1 * ( psy(ji,jj) - zfy(ji,jj-1) ) - ( zalf1 - zalf ) * ztemp ) ) & |
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| 357 | & + zbt1 * psyy(ji,jj) |
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| 358 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji,jj-1) + zalf1 * psxy(ji,jj) & |
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| 359 | & + 3.0 * (- zalf1 * zfx(ji,jj-1) + zalf * psx(ji,jj) ) ) & |
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| 360 | & + zbt1 * psxy(ji,jj) |
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| 361 | psx (ji,jj) = zbt * ( psx (ji,jj) + zfx (ji,jj-1) ) + zbt1 * psx (ji,jj) |
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| 362 | psxx(ji,jj) = zbt * ( psxx(ji,jj) + zfxx(ji,jj-1) ) + zbt1 * psxx(ji,jj) |
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| 363 | END DO |
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| 364 | END DO |
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| 365 | |
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| 366 | DO jj = 2, jpjm1 ! Flux from j+1 to j IF v LT 0. |
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| 367 | DO ji = 1, jpi |
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| 368 | zbt = zbet(ji,jj) |
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| 369 | zbt1 = ( 1.0 - zbet(ji,jj) ) |
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| 370 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
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| 371 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
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| 372 | zalf1 = 1.0 - zalf |
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| 373 | ztemp = - zalf * ps0 (ji,jj) + zalf1 * zf0(ji,jj) |
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| 374 | ps0 (ji,jj) = zbt * ps0 (ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
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| 375 | psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( zalf * zfy(ji,jj) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) |
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| 376 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( zalf * zalf * zfyy(ji,jj) + zalf1 * zalf1 * psyy(ji,jj) & |
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| 377 | & + 5.0 *( zalf *zalf1 *( -psy(ji,jj) + zfy(ji,jj) ) & |
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| 378 | & + ( zalf1 - zalf ) * ztemp ) ) |
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| 379 | psxy(ji,jj) = zbt * psxy(ji,jj) + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
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| 380 | & + 3.0 * ( zalf1 * zfx(ji,jj) - zalf * psx(ji,jj) ) ) |
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| 381 | psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) + zfx (ji,jj) ) |
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| 382 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) + zfxx(ji,jj) ) |
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| 383 | END DO |
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| 384 | END DO |
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| 385 | |
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| 386 | !-- Lateral boundary conditions |
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| 387 | CALL lbc_lnk_multi( psm , 'T', 1., ps0 , 'T', 1. & |
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| 388 | & , psx , 'T', -1., psy , 'T', -1. & ! caution gradient ==> the sign changes |
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| 389 | & , psxx, 'T', 1., psyy, 'T', 1. & |
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| 390 | & , psxy, 'T', 1. ) |
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| 391 | |
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| 392 | IF(ln_ctl) THEN |
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| 393 | CALL prt_ctl(tab2d_1=psm , clinfo1=' lim_adv_y: psm :', tab2d_2=ps0 , clinfo2=' ps0 : ') |
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| 394 | CALL prt_ctl(tab2d_1=psx , clinfo1=' lim_adv_y: psx :', tab2d_2=psxx, clinfo2=' psxx : ') |
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| 395 | CALL prt_ctl(tab2d_1=psy , clinfo1=' lim_adv_y: psy :', tab2d_2=psyy, clinfo2=' psyy : ') |
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| 396 | CALL prt_ctl(tab2d_1=psxy , clinfo1=' lim_adv_y: psxy :') |
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| 397 | ENDIF |
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| 398 | ! |
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| 399 | ! |
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| 400 | END SUBROUTINE lim_adv_y |
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| 401 | |
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| 402 | #else |
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| 403 | !!---------------------------------------------------------------------- |
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| 404 | !! Default option Dummy module NO LIM sea-ice model |
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| 405 | !!---------------------------------------------------------------------- |
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| 406 | #endif |
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| 407 | |
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| 408 | !!====================================================================== |
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| 409 | END MODULE limadv_prather |
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