[3] | 1 | MODULE limadv |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limadv *** |
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| 4 | !! LIM sea-ice model : sea-ice advection |
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| 5 | !!====================================================================== |
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[88] | 6 | #if defined key_ice_lim |
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[3] | 7 | !!---------------------------------------------------------------------- |
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[88] | 8 | !! 'key_ice_lim' LIM sea-ice model |
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| 9 | !!---------------------------------------------------------------------- |
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[3] | 10 | !! lim_adv_x : advection of sea ice on x axis |
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| 11 | !! lim_adv_y : advection of sea ice on y axis |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! * Modules used |
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| 14 | USE dom_oce |
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| 15 | USE dom_ice |
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| 16 | USE ice_oce ! ice variables |
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| 17 | USE in_out_manager ! I/O manager |
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| 18 | USE lbclnk |
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| 19 | |
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| 20 | IMPLICIT NONE |
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| 21 | PRIVATE |
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| 22 | |
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| 23 | !! * Routine accessibility |
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| 24 | PUBLIC lim_adv_x ! called by lim_trp |
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| 25 | PUBLIC lim_adv_y ! called by lim_trp |
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| 26 | |
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| 27 | !! * Module variables |
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| 28 | REAL(wp) :: & ! constant values |
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| 29 | epsi20 = 1e-20 , & |
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| 30 | rzero = 0.e0 , & |
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| 31 | rone = 1.e0 |
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| 32 | !!---------------------------------------------------------------------- |
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| 33 | !! LIM 2.0 , UCL-LODYC-IPSL (2003) |
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| 34 | !!---------------------------------------------------------------------- |
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| 35 | |
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| 36 | CONTAINS |
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| 37 | |
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| 38 | SUBROUTINE lim_adv_x( pdf, put , pcrh, psm , ps0 , & |
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| 39 | & psx, psxx, psy , psyy, psxy ) |
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| 40 | !!--------------------------------------------------------------------- |
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| 41 | !! ** routine lim_adv_x ** |
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| 42 | !! |
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| 43 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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| 44 | !! variable on x axis |
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| 45 | !! |
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| 46 | !! ** method : Uses Prather second order scheme that advects |
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| 47 | !! tracers but also theirquadratic forms. The method preserves |
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| 48 | !! tracer structures by conserving second order moments. |
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| 49 | !! Ref.: "Numerical Advection by Conservation of Second Order |
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| 50 | !! Moments", JGR, VOL. 91. NO. D6. PAGES 6671-6681. MAY 20, 1986 |
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| 51 | !! |
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| 52 | !! History : |
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| 53 | !! ! 00-01 (LIM) |
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| 54 | !! ! 01-05 (G. Madec, R. Hordoir) opa norm |
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| 55 | !! ! 03-10 (C. Ethe) F90, module |
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| 56 | !! ! 03-12 (R. Hordoir, G. Madec) mpp |
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| 57 | !!-------------------------------------------------------------------- |
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| 58 | !! * Arguments |
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| 59 | REAL(wp) , INTENT(in) :: & |
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| 60 | pdf , & ! ??? |
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| 61 | pcrh ! = 1. : lim_adv_x is called before lim_adv_y |
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| 62 | ! ! = 0. : lim_adv_x is called after lim_adv_y |
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| 63 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: & |
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| 64 | put ! i-direction ice velocity at ocean U-point (m/s) |
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| 65 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: & |
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| 66 | ps0 , psm , & ! ??? |
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| 67 | psx , psy , & ! ??? |
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| 68 | psxx, psyy, psxy |
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| 69 | |
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| 70 | !! * Local declarations |
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| 71 | INTEGER :: ji, jj ! dummy loop indices |
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| 72 | REAL(wp) :: & |
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| 73 | zrdt, zslpmax, ztemp, zin0, & ! temporary scalars |
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| 74 | zs1max, zs1new, zs2new, & ! " " |
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| 75 | zalf, zalfq, zalf1, zalf1q, & ! " " |
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| 76 | zbt , zbt1 ! " " |
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| 77 | REAL(wp), DIMENSION(jpi,jpj) :: & ! temporary workspace |
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| 78 | zf0 , zfx , zfy , zbet, & ! " " |
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| 79 | zfxx, zfyy, zfxy, & ! " " |
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| 80 | zfm, zalg, zalg1, zalg1q ! " " |
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| 81 | !--------------------------------------------------------------------- |
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| 82 | |
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| 83 | ! Limitation of moments. |
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| 84 | |
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| 85 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
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| 86 | |
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| 87 | DO jj = 1, jpj |
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| 88 | DO ji = 1, jpi |
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| 89 | zslpmax = MAX( rzero, ps0(ji,jj) ) |
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| 90 | zs1max = 1.5 * zslpmax |
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| 91 | zs1new = MIN( zs1max, MAX( -zs1max, psx(ji,jj) ) ) |
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| 92 | zs2new = MIN( 2.0 * zslpmax - 0.3334 * ABS( zs1new ), & |
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| 93 | & MAX( ABS( zs1new ) - zslpmax, psxx(ji,jj) ) ) |
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| 94 | zin0 = ( 1.0 - MAX( rzero, sign ( rone, -zslpmax) ) ) * tms(ji,jj) ! Case of empty boxes & Apply mask |
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| 95 | |
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| 96 | ps0 (ji,jj) = zslpmax |
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| 97 | psx (ji,jj) = zs1new * zin0 |
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| 98 | psxx(ji,jj) = zs2new * zin0 |
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| 99 | psy (ji,jj) = psy (ji,jj) * zin0 |
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| 100 | psyy(ji,jj) = psyy(ji,jj) * zin0 |
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| 101 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * zin0 |
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| 102 | END DO |
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| 103 | END DO |
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| 104 | |
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| 105 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
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| 106 | psm (:,:) = MAX( pcrh * area(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
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| 107 | |
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| 108 | ! Calculate fluxes and moments between boxes i<-->i+1 |
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| 109 | DO jj = 2, jpjm1 ! Flux from i to i+1 WHEN u GT 0 |
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| 110 | !i bug DO ji = 1, jpim1 |
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| 111 | !i DO jj = 1, jpj ! Flux from i to i+1 WHEN u GT 0 |
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| 112 | DO ji = 1, jpi |
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| 113 | zbet(ji,jj) = MAX( rzero, SIGN( rone, put(ji,jj) ) ) |
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| 114 | zalf = MAX( rzero, put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji,jj) |
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| 115 | zalfq = zalf * zalf |
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| 116 | zalf1 = 1.0 - zalf |
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| 117 | zalf1q = zalf1 * zalf1 |
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| 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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| 125 | |
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| 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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| 137 | DO jj = 2, jpjm1 ! Flux from i+1 to i when u LT 0. |
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| 138 | !i DO jj = 1, jpjm1 ! Flux from i+1 to i when u LT 0. |
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| 139 | DO ji = 1, jpim1 |
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| 140 | zalf = MAX( rzero, -put(ji,jj) ) * zrdt * e2u(ji,jj) / psm(ji+1,jj) |
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| 141 | zalg (ji,jj) = zalf |
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| 142 | zalfq = zalf * zalf |
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| 143 | zalf1 = 1.0 - zalf |
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| 144 | zalg1 (ji,jj) = zalf1 |
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| 145 | zalf1q = zalf1 * zalf1 |
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| 146 | zalg1q(ji,jj) = zalf1q |
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| 147 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm(ji+1,jj) |
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| 148 | 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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| 149 | zfx (ji,jj) = zfx (ji,jj) + zalfq * ( psx(ji+1,jj) - 3.0 * zalf1 * psxx(ji+1,jj) ) |
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| 150 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * zalfq * psxx(ji+1,jj) |
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| 151 | zfy (ji,jj) = zfy (ji,jj) + zalf * ( psy(ji+1,jj) - zalf1 * psxy(ji+1,jj) ) |
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| 152 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji+1,jj) |
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| 153 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * psyy(ji+1,jj) |
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| 154 | END DO |
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| 155 | END DO |
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| 156 | |
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| 157 | DO jj = 2, jpjm1 ! Readjust moments remaining in the box. |
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| 158 | DO ji = 2, jpim1 |
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| 159 | zbt = zbet(ji-1,jj) |
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| 160 | zbt1 = 1.0 - zbet(ji-1,jj) |
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| 161 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji-1,jj) ) |
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| 162 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji-1,jj) ) |
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| 163 | psx (ji,jj) = zalg1q(ji-1,jj) * ( psx(ji,jj) + 3.0 * zalg(ji-1,jj) * psxx(ji,jj) ) |
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| 164 | psxx(ji,jj) = zalg1 (ji-1,jj) * zalg1q(ji-1,jj) * psxx(ji,jj) |
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| 165 | psy (ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) - zfy (ji-1,jj) ) |
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| 166 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) - zfyy(ji-1,jj) ) |
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| 167 | psxy(ji,jj) = zalg1q(ji-1,jj) * psxy(ji,jj) |
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| 168 | END DO |
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| 169 | END DO |
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| 170 | |
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| 171 | ! Put the temporary moments into appropriate neighboring boxes. |
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| 172 | DO jj = 2, jpjm1 ! Flux from i to i+1 IF u GT 0. |
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| 173 | DO ji = 2, jpim1 |
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| 174 | zbt = zbet(ji-1,jj) |
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| 175 | zbt1 = 1.0 - zbet(ji-1,jj) |
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| 176 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji-1,jj) ) + zbt1 * psm(ji,jj) |
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| 177 | zalf = zbt * zfm(ji-1,jj) / psm(ji,jj) |
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| 178 | zalf1 = 1.0 - zalf |
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| 179 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji-1,jj) |
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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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| 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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| 194 | DO ji = 2, jpim1 |
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| 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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| 201 | ps0(ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
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| 202 | psx(ji,jj) = zbt * psx(ji,jj) & |
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| 203 | & + zbt1 * ( zalf * zfx(ji,jj) + zalf1 * psx(ji,jj) + 3.0 * ztemp ) |
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| 204 | psxx(ji,jj) = zbt * psxx(ji,jj) & |
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| 205 | & + zbt1 * ( zalf * zalf * zfxx(ji,jj) + zalf1 * zalf1 * psxx(ji,jj) & |
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| 206 | & + 5.0 *( zalf * zalf1 * ( - psx(ji,jj) + zfx(ji,jj) ) + ( zalf1 - zalf ) * ztemp ) ) |
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| 207 | psxy(ji,jj) = zbt * psxy(ji,jj) & |
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| 208 | & + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
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| 209 | & + 3.0 * ( zalf1 * zfy(ji,jj) - zalf * psy(ji,jj) ) ) |
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| 210 | psy(ji,jj) = zbt * psy (ji,jj) + zbt1 * ( psy (ji,jj) + zfy (ji,jj) ) |
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| 211 | psyy(ji,jj) = zbt * psyy(ji,jj) + zbt1 * ( psyy(ji,jj) + zfyy(ji,jj) ) |
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| 212 | END DO |
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| 213 | END DO |
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| 214 | |
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| 215 | !-- Lateral boundary conditions |
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| 216 | CALL lbc_lnk( psm , 'T', 1. ) |
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| 217 | CALL lbc_lnk( ps0 , 'T', 1. ) |
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| 218 | CALL lbc_lnk( psx , 'T', 1. ) |
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| 219 | CALL lbc_lnk( psxx, 'T', 1. ) |
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| 220 | CALL lbc_lnk( psy , 'T', 1. ) |
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| 221 | CALL lbc_lnk( psyy, 'T', 1. ) |
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| 222 | CALL lbc_lnk( psxy, 'T', 1. ) |
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| 223 | |
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[88] | 224 | IF(l_ctl) THEN |
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[106] | 225 | WRITE(numout,*) ' lim_adv_x: psm ', SUM( psm (2:nictl,2:njctl) ), ' ps0 ', SUM( ps0 (2:nictl,2:njctl) ) |
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| 226 | WRITE(numout,*) ' lim_adv_x: psx ', SUM( psx (2:nictl,2:njctl) ), ' psxx ', SUM( psxx(2:nictl,2:njctl) ) |
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| 227 | WRITE(numout,*) ' lim_adv_x: psy ', SUM( psy (2:nictl,2:njctl) ), ' psyy ', SUM( psyy(2:nictl,2:njctl) ) |
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| 228 | WRITE(numout,*) ' lim_adv_x: psxy ', SUM( psxy(2:nictl,2:njctl) ) |
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[3] | 229 | ENDIF |
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| 230 | |
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| 231 | END SUBROUTINE lim_adv_x |
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| 232 | |
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| 233 | |
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| 234 | SUBROUTINE lim_adv_y( pdf, pvt , pcrh, psm , ps0 , & |
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| 235 | & psx, psxx, psy , psyy, psxy ) |
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| 236 | !!--------------------------------------------------------------------- |
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| 237 | !! ** routine lim_adv_y ** |
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| 238 | !! |
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| 239 | !! ** purpose : Computes and adds the advection trend to sea-ice |
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| 240 | !! variable on y axis |
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| 241 | !! |
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| 242 | !! ** method : Uses Prather second order scheme that advects tracers |
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| 243 | !! but also their quadratic forms. The method preserves tracer |
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| 244 | !! structures by conserving second order moments. |
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| 245 | !! |
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| 246 | !! History : |
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| 247 | !! 1.0 ! 00-01 (LIM) |
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| 248 | !! ! 01-05 (G. Madec, R. Hordoir) opa norm |
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| 249 | !! 2.0 ! 03-10 (C. Ethe) F90, module |
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| 250 | !! ! 03-12 (R. Hordoir, G. Madec) mpp |
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| 251 | !!--------------------------------------------------------------------- |
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| 252 | !! * Arguments |
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| 253 | REAL(wp), INTENT(in) :: & |
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| 254 | pdf, & ! ??? |
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| 255 | pcrh ! = 1. : lim_adv_x is called before lim_adv_y |
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| 256 | ! ! = 0. : lim_adv_x is called after lim_adv_y |
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| 257 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: & |
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| 258 | pvt ! j-direction ice velocity at ocean V-point (m/s) |
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| 259 | REAL(wp), DIMENSION(jpi,jpj), INTENT(inout) :: & |
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| 260 | psm , ps0 , psx , psy, & |
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| 261 | psxx, psyy, psxy |
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| 262 | |
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| 263 | !! * Local Variables |
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| 264 | INTEGER :: ji, jj ! dummy loop indices |
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| 265 | REAL(wp) :: & |
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| 266 | zrdt, zslpmax, zin0, ztemp, & ! temporary scalars |
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| 267 | zs1max, zs1new, zs2new, & ! " " |
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| 268 | zalf, zalfq, zalf1, zalf1q, & ! " " |
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| 269 | zbt , zbt1 ! |
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| 270 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 271 | zf0 , zfx , zfy , & ! temporary workspace |
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| 272 | zfxx, zfyy, zfxy, & ! " " |
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| 273 | zfm , zbet, & ! " " |
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| 274 | zalg, zalg1, zalg1q ! " " |
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| 275 | !--------------------------------------------------------------------- |
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| 276 | |
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| 277 | ! Limitation of moments. |
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| 278 | |
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| 279 | zrdt = rdt_ice * pdf ! If ice drift field is too fast, use an appropriate time step for advection. |
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| 280 | |
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| 281 | DO jj = 1, jpj |
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| 282 | DO ji = 1, jpi |
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| 283 | zslpmax = MAX( rzero, ps0(ji,jj) ) |
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| 284 | zs1max = 1.5 * zslpmax |
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| 285 | zs1new = MIN( zs1max, MAX( -zs1max, psy(ji,jj) ) ) |
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| 286 | zs2new = MIN( ( 2.0 * zslpmax - 0.3334 * ABS( zs1new ) ), & |
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| 287 | & MAX( ABS( zs1new )-zslpmax, psyy(ji,jj) ) ) |
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| 288 | zin0 = ( 1.0 - MAX( rzero, sign ( rone, -zslpmax) ) ) * tms(ji,jj) ! Case of empty boxes & Apply mask |
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| 289 | ps0 (ji,jj) = zslpmax |
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| 290 | psx (ji,jj) = psx (ji,jj) * zin0 |
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| 291 | psxx(ji,jj) = psxx(ji,jj) * zin0 |
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| 292 | psy (ji,jj) = zs1new * zin0 |
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| 293 | psyy(ji,jj) = zs2new * zin0 |
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| 294 | psxy(ji,jj) = MIN( zslpmax, MAX( -zslpmax, psxy(ji,jj) ) ) * zin0 |
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| 295 | END DO |
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| 296 | END DO |
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| 297 | |
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| 298 | ! Initialize volumes of boxes (=area if adv_x first called, =psm otherwise) |
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| 299 | psm (:,:) = MAX( pcrh * area(:,:) + ( 1.0 - pcrh ) * psm(:,:) , epsi20 ) |
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| 300 | |
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| 301 | ! Calculate fluxes and moments between boxes j<-->j+1 |
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| 302 | !!bug DO jj = 2, jpjm1 |
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| 303 | DO jj = 1, jpj |
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| 304 | DO ji = 2, jpim1 |
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| 305 | !!bug DO ji = 1, jpim1 |
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| 306 | ! Flux from j to j+1 WHEN v GT 0 |
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| 307 | zbet(ji,jj) = MAX( rzero, SIGN( rone, pvt(ji,jj) ) ) |
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| 308 | zalf = MAX( rzero, pvt(ji,jj) ) * zrdt * e1v(ji,jj) / psm(ji,jj) |
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| 309 | zalfq = zalf * zalf |
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| 310 | zalf1 = 1.0 - zalf |
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| 311 | zalf1q = zalf1 * zalf1 |
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| 312 | zfm (ji,jj) = zalf * psm(ji,jj) |
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| 313 | zf0 (ji,jj) = zalf * ( ps0(ji,jj) + zalf1 * ( psy(ji,jj) + (zalf1-zalf) * psyy(ji,jj) ) ) |
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| 314 | zfy (ji,jj) = zalfq *( psy(ji,jj) + 3.0*zalf1*psyy(ji,jj) ) |
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| 315 | zfyy(ji,jj) = zalf * zalfq * psyy(ji,jj) |
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| 316 | zfx (ji,jj) = zalf * ( psx(ji,jj) + zalf1 * psxy(ji,jj) ) |
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| 317 | zfxy(ji,jj) = zalfq * psxy(ji,jj) |
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| 318 | zfxx(ji,jj) = zalf * psxx(ji,jj) |
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| 319 | |
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| 320 | ! Readjust moments remaining in the box. |
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| 321 | psm (ji,jj) = psm (ji,jj) - zfm(ji,jj) |
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| 322 | ps0 (ji,jj) = ps0 (ji,jj) - zf0(ji,jj) |
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| 323 | psy (ji,jj) = zalf1q * ( psy(ji,jj) -3.0 * zalf * psyy(ji,jj) ) |
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| 324 | psyy(ji,jj) = zalf1 * zalf1q * psyy(ji,jj) |
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| 325 | psx (ji,jj) = psx (ji,jj) - zfx(ji,jj) |
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| 326 | psxx(ji,jj) = psxx(ji,jj) - zfxx(ji,jj) |
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| 327 | psxy(ji,jj) = zalf1q * psxy(ji,jj) |
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| 328 | END DO |
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| 329 | END DO |
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| 330 | |
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| 331 | DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. |
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| 332 | DO ji = 2, jpim1 |
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| 333 | !i DO jj = 1, jpjm1 ! Flux from j+1 to j when v LT 0. |
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| 334 | !i DO ji = 2, jpim1 |
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| 335 | zalf = ( MAX(rzero, -pvt(ji,jj) ) * zrdt * e1v(ji,jj) ) / psm(ji,jj+1) |
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| 336 | zalg (ji,jj) = zalf |
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| 337 | zalfq = zalf * zalf |
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| 338 | zalf1 = 1.0 - zalf |
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| 339 | zalg1 (ji,jj) = zalf1 |
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| 340 | zalf1q = zalf1 * zalf1 |
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| 341 | zalg1q(ji,jj) = zalf1q |
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| 342 | zfm (ji,jj) = zfm (ji,jj) + zalf * psm(ji,jj+1) |
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| 343 | 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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| 344 | zfy (ji,jj) = zfy (ji,jj) + zalfq * ( psy(ji,jj+1) - 3.0 * zalf1 * psyy(ji,jj+1) ) |
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| 345 | zfyy (ji,jj) = zfyy(ji,jj) + zalf * zalfq * psyy(ji,jj+1) |
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| 346 | zfx (ji,jj) = zfx (ji,jj) + zalf * ( psx(ji,jj+1) - zalf1 * psxy(ji,jj+1) ) |
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| 347 | zfxy (ji,jj) = zfxy(ji,jj) + zalfq * psxy(ji,jj+1) |
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| 348 | zfxx (ji,jj) = zfxx(ji,jj) + zalf * psxx(ji,jj+1) |
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| 349 | END DO |
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| 350 | END DO |
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| 351 | |
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| 352 | ! Readjust moments remaining in the box. |
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| 353 | DO jj = 2, jpjm1 |
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| 354 | DO ji = 2, jpim1 |
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| 355 | zbt = zbet(ji,jj-1) |
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| 356 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
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| 357 | psm (ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) - zfm(ji,jj-1) ) |
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| 358 | ps0 (ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) - zf0(ji,jj-1) ) |
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| 359 | psy (ji,jj) = zalg1q(ji,jj-1) * ( psy(ji,jj) + 3.0 * zalg(ji,jj-1) * psyy(ji,jj) ) |
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| 360 | psyy(ji,jj) = zalg1 (ji,jj-1) * zalg1q(ji,jj-1) * psyy(ji,jj) |
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| 361 | psx (ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) - zfx (ji,jj-1) ) |
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| 362 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) - zfxx(ji,jj-1) ) |
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| 363 | psxy(ji,jj) = zalg1q(ji,jj-1) * psxy(ji,jj) |
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| 364 | END DO |
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| 365 | END DO |
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| 366 | |
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| 367 | ! Put the temporary moments into appropriate neighboring boxes. |
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| 368 | DO jj = 2, jpjm1 ! Flux from j to j+1 IF v GT 0. |
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| 369 | DO ji = 2, jpim1 |
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| 370 | zbt = zbet(ji,jj-1) |
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| 371 | zbt1 = ( 1.0 - zbet(ji,jj-1) ) |
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| 372 | psm(ji,jj) = zbt * ( psm(ji,jj) + zfm(ji,jj-1) ) + zbt1 * psm(ji,jj) |
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| 373 | zalf = zbt * zfm(ji,jj-1) / psm(ji,jj) |
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| 374 | zalf1 = 1.0 - zalf |
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| 375 | ztemp = zalf * ps0(ji,jj) - zalf1 * zf0(ji,jj-1) |
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| 376 | ps0(ji,jj) = zbt * (ps0(ji,jj) + zf0(ji,jj-1)) + zbt1 * ps0(ji,jj) |
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| 377 | |
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| 378 | psy(ji,jj) = zbt * ( zalf * zfy(ji,jj-1) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) & |
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| 379 | & + zbt1 * psy(ji,jj) |
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| 380 | |
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| 381 | psyy(ji,jj) = zbt * ( zalf * zalf * zfyy(ji,jj-1) + zalf1 * zalf1 * psyy(ji,jj) & |
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| 382 | & + 5.0 * ( zalf * zalf1 * ( psy(ji,jj) - zfy(ji,jj-1) ) - ( zalf1 - zalf ) * ztemp ) ) & |
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| 383 | & + zbt1 * psyy(ji,jj) |
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| 384 | |
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| 385 | psxy(ji,jj) = zbt * ( zalf * zfxy(ji,jj-1) + zalf1 * psxy(ji,jj) & |
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| 386 | + 3.0 * (- zalf1 * zfx(ji,jj-1) + zalf * psx(ji,jj) ) ) & |
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| 387 | + zbt1 * psxy(ji,jj) |
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| 388 | psx (ji,jj) = zbt * ( psx (ji,jj) + zfx (ji,jj-1) ) + zbt1 * psx (ji,jj) |
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| 389 | psxx(ji,jj) = zbt * ( psxx(ji,jj) + zfxx(ji,jj-1) ) + zbt1 * psxx(ji,jj) |
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| 390 | END DO |
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| 391 | END DO |
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| 392 | |
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| 393 | DO jj = 2, jpjm1 ! Flux from j+1 to j IF v LT 0. |
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| 394 | DO ji = 2, jpim1 |
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| 395 | zbt = zbet(ji,jj) |
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| 396 | zbt1 = ( 1.0 - zbet(ji,jj) ) |
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| 397 | psm(ji,jj) = zbt * psm(ji,jj) + zbt1 * ( psm(ji,jj) + zfm(ji,jj) ) |
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| 398 | zalf = zbt1 * zfm(ji,jj) / psm(ji,jj) |
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| 399 | zalf1 = 1.0 - zalf |
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| 400 | ztemp = -zalf * ps0(ji,jj) + zalf1 * zf0(ji,jj) |
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| 401 | ps0(ji,jj) = zbt * ps0(ji,jj) + zbt1 * ( ps0(ji,jj) + zf0(ji,jj) ) |
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| 402 | psy(ji,jj) = zbt * psy(ji,jj) & |
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| 403 | & + zbt1 * ( zalf*zfy(ji,jj) + zalf1 * psy(ji,jj) + 3.0 * ztemp ) |
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| 404 | psyy(ji,jj) = zbt * psyy(ji,jj) & |
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| 405 | & + zbt1 * ( zalf * zalf * zfyy(ji,jj) + zalf1 * zalf1 * psyy(ji,jj) & |
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| 406 | & + 5.0 *( zalf *zalf1 *( -psy(ji,jj) + zfy(ji,jj) ) + ( zalf1 - zalf ) * ztemp ) ) |
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| 407 | psxy(ji,jj) = zbt * psxy(ji,jj) & |
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| 408 | & + zbt1 * ( zalf * zfxy(ji,jj) + zalf1 * psxy(ji,jj) & |
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| 409 | & + 3.0 * ( zalf1 * zfx(ji,jj) - zalf * psx(ji,jj) ) ) |
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| 410 | psx(ji,jj) = zbt * psx (ji,jj) + zbt1 * ( psx (ji,jj) + zfx (ji,jj) ) |
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| 411 | psxx(ji,jj) = zbt * psxx(ji,jj) + zbt1 * ( psxx(ji,jj) + zfxx(ji,jj) ) |
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| 412 | END DO |
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| 413 | END DO |
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| 414 | |
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| 415 | !-- Lateral boundary conditions |
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| 416 | CALL lbc_lnk( psm , 'T', 1. ) |
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| 417 | CALL lbc_lnk( ps0 , 'T', 1. ) |
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| 418 | CALL lbc_lnk( psx , 'T', 1. ) |
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| 419 | CALL lbc_lnk( psxx, 'T', 1. ) |
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| 420 | CALL lbc_lnk( psy , 'T', 1. ) |
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| 421 | CALL lbc_lnk( psyy, 'T', 1. ) |
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| 422 | CALL lbc_lnk( psxy, 'T', 1. ) |
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| 423 | |
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[88] | 424 | IF(l_ctl) THEN |
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[106] | 425 | WRITE(numout,*) ' lim_adv_y: psm ', SUM( psm (2:nictl,2:njctl) ), ' ps0 ', SUM( ps0 (2:nictl,2:njctl) ) |
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| 426 | WRITE(numout,*) ' lim_adv_y: psx ', SUM( psx (2:nictl,2:njctl) ), ' psxx ', SUM( psxx(2:nictl,2:njctl) ) |
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| 427 | WRITE(numout,*) ' lim_adv_y: psy ', SUM( psy (2:nictl,2:njctl) ), ' psyy ', SUM( psyy(2:nictl,2:njctl) ) |
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| 428 | WRITE(numout,*) ' lim_adv_y: psxy ', SUM( psxy(2:nictl,2:njctl) ) |
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[3] | 429 | ENDIF |
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| 430 | |
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| 431 | END SUBROUTINE lim_adv_y |
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| 432 | |
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| 433 | #else |
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[88] | 434 | !!---------------------------------------------------------------------- |
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| 435 | !! Default option Dummy module NO LIM sea-ice model |
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| 436 | !!---------------------------------------------------------------------- |
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[3] | 437 | CONTAINS |
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| 438 | SUBROUTINE lim_adv_x ! Empty routine |
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| 439 | END SUBROUTINE lim_adv_x |
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| 440 | SUBROUTINE lim_adv_y ! Empty routine |
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| 441 | END SUBROUTINE lim_adv_y |
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| 442 | |
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| 443 | #endif |
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| 444 | |
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| 445 | END MODULE limadv |
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