[3] | 1 | !!---------------------------------------------------------------------- |
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| 2 | !! *** trabbl_adv.h90 *** |
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| 3 | !!---------------------------------------------------------------------- |
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[503] | 4 | !! History : 8.5 ! 02-12 (A. de Miranda, G. Madec) Original Code |
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| 5 | !! 9.0 ! 04-01 (A. de Miranda, G. Madec, J.M. Molines ) |
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| 6 | !!---------------------------------------------------------------------- |
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[3] | 7 | |
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| 8 | !!---------------------------------------------------------------------- |
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[247] | 9 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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[1152] | 10 | !! $Id$ |
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[503] | 11 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 12 | !!---------------------------------------------------------------------- |
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| 13 | |
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| 14 | SUBROUTINE tra_bbl_adv( kt ) |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | !! *** ROUTINE tra_bbl_adv *** |
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| 17 | !! |
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| 18 | !! ** Purpose : Compute the before tracer (t & s) trend associated |
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| 19 | !! with the bottom boundary layer and add it to the general trend |
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| 20 | !! of tracer equations. The bottom boundary layer is supposed to be |
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| 21 | !! both an advective and diffusive bottom boundary layer. |
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| 22 | !! |
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| 23 | !! ** Method : Computes the bottom boundary horizontal and vertical |
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| 24 | !! advection terms. Add it to the general trend : ta =ta + adv_bbl. |
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| 25 | !! When the product grad( rho) * grad(h) < 0 (where grad is a |
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| 26 | !! along bottom slope gradient) an additional lateral 2nd order |
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| 27 | !! diffusion along the bottom slope is added to the general |
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| 28 | !! tracer trend, otherwise the additional trend is set to 0. |
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| 29 | !! Second order operator (laplacian type) with variable coefficient |
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| 30 | !! computed as follow for temperature (idem on s): |
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| 31 | !! difft = 1/(e1t*e2t*e3t) { di-1[ ahbt e2u*e3u/e1u di[ztb] ] |
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| 32 | !! + dj-1[ ahbt e1v*e3v/e2v dj[ztb] ] } |
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| 33 | !! where ztb is a 2D array: the bottom ocean te;perature and ahtb |
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| 34 | !! is a time and space varying diffusive coefficient defined by: |
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| 35 | !! ahbt = zahbp if grad(rho).grad(h) < 0 |
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| 36 | !! = 0. otherwise. |
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| 37 | !! Note that grad(.) is the along bottom slope gradient. grad(rho) |
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| 38 | !! is evaluated using the local density (i.e. referenced at the |
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| 39 | !! local depth). Typical value of ahbt is 2000 m2/s (equivalent to |
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| 40 | !! a downslope velocity of 20 cm/s if the condition for slope |
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| 41 | !! convection is satified) |
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| 42 | !! Add this before trend to the general trend (ta,sa) of the |
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| 43 | !! botton ocean tracer point: |
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| 44 | !! ta = ta + difft |
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| 45 | !! |
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| 46 | !! ** Action : - update (ta,sa) at the bottom level with the bottom |
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| 47 | !! boundary layer trend |
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| 48 | !! |
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[503] | 49 | !! References : Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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| 50 | !!---------------------------------------------------------------------- |
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| 51 | USE eosbn2 ! equation of state |
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| 52 | USE oce, ONLY : ztrdt => ua ! use ua as 3D workspace |
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[1482] | 53 | USE oce, ONLY : ztrds => va ! use va as 3D workspace |
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| 54 | USE iom |
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[3] | 55 | !! |
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[503] | 56 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
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| 57 | !! |
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| 58 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 59 | INTEGER :: ik ! temporary integers |
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| 60 | INTEGER :: iku, iku1, iku2 ! " " |
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| 61 | INTEGER :: ikv, ikv1, ikv2 ! " " |
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| 62 | REAL(wp) :: zsign, zh, zalbet ! temporary scalars |
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| 63 | REAL(wp) :: zgdrho, zbtr ! " " |
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| 64 | REAL(wp) :: zbt, zsigna ! " " |
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| 65 | REAL(wp) :: zfui, ze3u, zt, zta ! " " |
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| 66 | REAL(wp) :: zfvj, ze3v, zs, zsa ! " " |
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| 67 | REAL(wp), DIMENSION(jpi,jpj) :: zalphax, zwu, zunb ! temporary 2D workspace |
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| 68 | REAL(wp), DIMENSION(jpi,jpj) :: zalphay, zwv, zvnb ! " " |
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| 69 | REAL(wp), DIMENSION(jpi,jpj) :: zwx, zwy, zww, zwz ! " " |
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| 70 | REAL(wp), DIMENSION(jpi,jpj) :: ztbb, zsbb ! " " |
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| 71 | REAL(wp), DIMENSION(jpi,jpj) :: ztnb, zsnb, zdep ! " " |
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| 72 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhdivn ! temporary 3D workspace |
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| 73 | REAL(wp) :: fsalbt, pft, pfs, pfh ! statement function |
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[3] | 74 | !!---------------------------------------------------------------------- |
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| 75 | ! ratio alpha/beta |
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| 76 | ! ================ |
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| 77 | ! fsalbt: ratio of thermal over saline expension coefficients |
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| 78 | ! pft : potential temperature in degrees celcius |
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| 79 | ! pfs : salinity anomaly (s-35) in psu |
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| 80 | ! pfh : depth in meters |
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| 81 | |
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| 82 | fsalbt( pft, pfs, pfh ) = & |
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| 83 | ( ( ( -0.255019e-07 * pft + 0.298357e-05 ) * pft & |
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| 84 | - 0.203814e-03 ) * pft & |
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| 85 | + 0.170907e-01 ) * pft & |
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| 86 | + 0.665157e-01 & |
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| 87 | +(-0.678662e-05 * pfs - 0.846960e-04 * pft + 0.378110e-02 ) * pfs & |
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| 88 | + ( ( - 0.302285e-13 * pfh & |
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| 89 | - 0.251520e-11 * pfs & |
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| 90 | + 0.512857e-12 * pft * pft ) * pfh & |
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| 91 | - 0.164759e-06 * pfs & |
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| 92 | +( 0.791325e-08 * pft - 0.933746e-06 ) * pft & |
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| 93 | + 0.380374e-04 ) * pfh |
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| 94 | !!---------------------------------------------------------------------- |
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| 95 | |
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| 96 | IF( kt == nit000 ) CALL tra_bbl_init ! initialization at first time-step |
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| 97 | |
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| 98 | ! 1. 2D fields of bottom temperature and salinity, and bottom slope |
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| 99 | ! ----------------------------------------------------------------- |
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| 100 | ! mbathy= number of w-level, minimum value=1 (cf dommsk.F) |
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| 101 | |
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[789] | 102 | #if defined key_vectopt_loop |
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[3] | 103 | jj = 1 |
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| 104 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
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| 105 | #else |
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| 106 | DO jj = 1, jpj |
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| 107 | DO ji = 1, jpi |
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| 108 | #endif |
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| 109 | ik = mbkt(ji,jj) ! index of the bottom ocean T-level |
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[481] | 110 | ztnb(ji,jj) = tn(ji,jj,ik) |
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| 111 | zsnb(ji,jj) = sn(ji,jj,ik) |
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| 112 | ztbb(ji,jj) = tb(ji,jj,ik) |
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| 113 | zsbb(ji,jj) = sb(ji,jj,ik) |
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[3] | 114 | zdep(ji,jj) = fsdept(ji,jj,ik) ! depth of the ocean bottom T-level |
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[481] | 115 | |
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| 116 | zunb(ji,jj) = un(ji,jj,mbku(ji,jj)) |
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| 117 | zvnb(ji,jj) = vn(ji,jj,mbkv(ji,jj)) |
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[789] | 118 | #if ! defined key_vectopt_loop |
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[3] | 119 | END DO |
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| 120 | #endif |
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| 121 | END DO |
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| 122 | |
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[481] | 123 | |
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[3] | 124 | ! 2. Criteria of additional bottom diffusivity: grad(rho).grad(h)<0 |
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| 125 | ! -------------------------------------------- |
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| 126 | ! Sign of the local density gradient along the i- and j-slopes |
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| 127 | ! multiplied by the slope of the ocean bottom |
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| 128 | |
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| 129 | SELECT CASE ( neos ) |
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[503] | 130 | ! |
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[3] | 131 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
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[503] | 132 | ! |
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[3] | 133 | DO jj = 1, jpjm1 |
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[503] | 134 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 135 | ! ... temperature, salinity anomalie and depth |
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| 136 | zt = 0.5 * ( ztnb(ji,jj) + ztnb(ji+1,jj) ) |
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| 137 | zs = 0.5 * ( zsnb(ji,jj) + zsnb(ji+1,jj) ) - 35.0 |
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| 138 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
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| 139 | ! ... masked ratio alpha/beta |
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| 140 | zalbet = fsalbt( zt, zs, zh ) * umask(ji,jj,1) |
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| 141 | ! ... local density gradient along i-bathymetric slope |
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| 142 | zgdrho = zalbet * ( ztnb(ji+1,jj) - ztnb(ji,jj) ) & |
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| 143 | & - ( zsnb(ji+1,jj) - zsnb(ji,jj) ) |
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| 144 | zgdrho = zgdrho * umask(ji,jj,1) |
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| 145 | ! ... sign of local i-gradient of density multiplied by the i-slope |
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| 146 | zsign = SIGN( 0.5, -zgdrho * ( zdep(ji+1,jj) - zdep(ji,jj) ) ) |
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| 147 | zsigna= SIGN( 0.5, zunb(ji,jj) * ( zdep(ji+1,jj) - zdep(ji,jj) ) ) |
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| 148 | zalphax(ji,jj)=( 0.5 + zsigna ) * ( 0.5 - zsign ) * umask(ji,jj,1) |
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| 149 | END DO |
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[3] | 150 | END DO |
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[503] | 151 | ! |
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[3] | 152 | DO jj = 1, jpjm1 |
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[503] | 153 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 154 | ! ... temperature, salinity anomalie and depth |
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| 155 | zt = 0.5 * ( ztnb(ji,jj+1) + ztnb(ji,jj) ) |
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| 156 | zs = 0.5 * ( zsnb(ji,jj+1) + zsnb(ji,jj) ) - 35.0 |
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| 157 | zh = 0.5 * ( zdep(ji,jj+1) + zdep(ji,jj) ) |
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| 158 | ! ... masked ratio alpha/beta |
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| 159 | zalbet = fsalbt( zt, zs, zh ) * vmask(ji,jj,1) |
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| 160 | ! ... local density gradient along j-bathymetric slope |
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| 161 | zgdrho = zalbet * ( ztnb(ji,jj+1) - ztnb(ji,jj) ) & |
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| 162 | & - ( zsnb(ji,jj+1) - zsnb(ji,jj) ) |
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| 163 | zgdrho = zgdrho*vmask(ji,jj,1) |
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| 164 | ! ... sign of local j-gradient of density multiplied by the j-slope |
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| 165 | zsign = SIGN( 0.5, -zgdrho * ( zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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| 166 | zsigna= SIGN( 0.5, zvnb(ji,jj) * ( zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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| 167 | zalphay(ji,jj)=( 0.5 + zsigna ) * ( 0.5 - zsign ) * vmask(ji,jj,1) |
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| 168 | END DO |
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[3] | 169 | END DO |
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[503] | 170 | ! |
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[3] | 171 | CASE ( 1 ) ! Linear formulation function of temperature only |
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[503] | 172 | ! |
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[409] | 173 | DO jj = 1, jpjm1 |
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[481] | 174 | DO ji = 1, fs_jpim1 ! vector opt. |
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[409] | 175 | ! local 'density/temperature' gradient along i-bathymetric slope |
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[481] | 176 | zgdrho = ( ztnb(ji+1,jj) - ztnb(ji,jj) ) |
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[409] | 177 | ! sign of local i-gradient of density multiplied by the i-slope |
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[481] | 178 | zsign = SIGN( 0.5, - zgdrho * ( zdep(ji+1,jj) - zdep(ji,jj) ) ) |
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| 179 | zsigna= SIGN( 0.5, zunb(ji,jj) * ( zdep(ji+1,jj) - zdep(ji,jj) ) ) |
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| 180 | zalphax(ji,jj)=( 0.5 + zsigna ) * ( 0.5 - zsign ) * umask(ji,jj,1) |
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[3] | 181 | |
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[481] | 182 | ! local density gradient along j-bathymetric slope |
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| 183 | zgdrho = ( ztnb(ji,jj+1) - ztnb(ji,jj) ) |
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| 184 | ! sign of local j-gradient of density multiplied by the j-slope |
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| 185 | zsign = SIGN( 0.5, -zgdrho * ( zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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| 186 | zsigna= SIGN( 0.5, zvnb(ji,jj) * ( zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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| 187 | zalphay(ji,jj)=( 0.5 + zsigna ) * ( 0.5 - zsign ) * vmask(ji,jj,1) |
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[409] | 188 | END DO |
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| 189 | END DO |
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[503] | 190 | ! |
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[481] | 191 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
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[503] | 192 | ! |
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[409] | 193 | DO jj = 1, jpjm1 |
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[481] | 194 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 195 | ! local density gradient along i-bathymetric slope |
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| 196 | zgdrho = - ( rbeta*( zsnb(ji+1,jj) - zsnb(ji,jj) ) & |
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| 197 | & - ralpha*( ztnb(ji+1,jj) - ztnb(ji,jj) ) ) |
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| 198 | ! sign of local i-gradient of density multiplied by the i-slope |
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| 199 | zsign = SIGN( 0.5, - zgdrho * ( zdep(ji+1,jj) - zdep(ji,jj) ) ) |
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| 200 | zsigna= SIGN( 0.5, zunb(ji,jj) * ( zdep(ji+1,jj) - zdep(ji,jj) ) ) |
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| 201 | zalphax(ji,jj) = ( 0.5 + zsigna ) * ( 0.5 - zsign ) * umask(ji,jj,1) |
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| 202 | |
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[409] | 203 | ! local density gradient along j-bathymetric slope |
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[481] | 204 | zgdrho = - ( rbeta*( zsnb(ji,jj+1) - zsnb(ji,jj) ) & |
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| 205 | - ralpha*( ztnb(ji,jj+1) - ztnb(ji,jj) ) ) |
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[409] | 206 | ! sign of local j-gradient of density multiplied by the j-slope |
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[481] | 207 | zsign = SIGN( 0.5, - zgdrho * ( zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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| 208 | zsigna= SIGN( 0.5, zvnb(ji,jj) * ( zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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| 209 | zalphay(ji,jj) = ( 0.5 + zsigna ) * ( 0.5 - zsign ) * vmask(ji,jj,1) |
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[409] | 210 | END DO |
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| 211 | END DO |
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[503] | 212 | ! |
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[3] | 213 | CASE DEFAULT |
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[474] | 214 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
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| 215 | CALL ctl_stop( ctmp1 ) |
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[503] | 216 | ! |
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[3] | 217 | END SELECT |
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| 218 | |
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| 219 | ! lateral boundary conditions on zalphax and zalphay (unchanged sign) |
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| 220 | CALL lbc_lnk( zalphax, 'U', 1. ) ; CALL lbc_lnk( zalphay, 'V', 1. ) |
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| 221 | |
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[21] | 222 | |
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[3] | 223 | ! 3. Velocities that are exchanged between ajacent bottom boxes. |
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| 224 | !--------------------------------------------------------------- |
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| 225 | |
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| 226 | ! ... is equal to zero but where bbl will work. |
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[481] | 227 | u_bbl(:,:,:) = 0.e0 |
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| 228 | v_bbl(:,:,:) = 0.e0 |
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| 229 | |
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| 230 | IF( ln_zps ) THEN ! partial steps correction |
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| 231 | |
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[789] | 232 | # if defined key_vectopt_loop |
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[481] | 233 | jj = 1 |
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| 234 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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| 235 | # else |
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| 236 | DO jj = 1, jpjm1 |
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| 237 | DO ji = 1, jpim1 |
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[3] | 238 | # endif |
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[481] | 239 | iku = mbku(ji ,jj ) |
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| 240 | ikv = mbkv(ji ,jj ) |
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| 241 | iku1 = mbkt(ji+1,jj ) |
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| 242 | iku2 = mbkt(ji ,jj ) |
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| 243 | ikv1 = mbkt(ji ,jj+1) |
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| 244 | ikv2 = mbkt(ji ,jj ) |
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| 245 | ze3u = MIN( fse3u(ji,jj,iku1), fse3u(ji,jj,iku2) ) |
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| 246 | ze3v = MIN( fse3v(ji,jj,ikv1), fse3v(ji,jj,ikv2) ) |
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| 247 | |
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| 248 | IF( MAX(iku,ikv) > 1 ) THEN |
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| 249 | u_bbl(ji,jj,iku) = zalphax(ji,jj) * un(ji,jj,iku) * ze3u / fse3u(ji,jj,iku) |
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| 250 | v_bbl(ji,jj,ikv) = zalphay(ji,jj) * vn(ji,jj,ikv) * ze3v / fse3v(ji,jj,ikv) |
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| 251 | ENDIF |
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[789] | 252 | # if ! defined key_vectopt_loop |
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[481] | 253 | END DO |
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| 254 | # endif |
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[3] | 255 | END DO |
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| 256 | |
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[481] | 257 | ! lateral boundary conditions on u_bbl and v_bbl (changed sign) |
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| 258 | CALL lbc_lnk( u_bbl, 'U', -1. ) ; CALL lbc_lnk( v_bbl, 'V', -1. ) |
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| 259 | |
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| 260 | ELSE ! if not partial step loop over the whole domain no lbc call |
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[3] | 261 | |
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[789] | 262 | #if defined key_vectopt_loop |
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[481] | 263 | jj = 1 |
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| 264 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
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| 265 | #else |
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| 266 | DO jj = 1, jpj |
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| 267 | DO ji = 1, jpi |
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| 268 | #endif |
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| 269 | iku = mbku(ji,jj) |
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| 270 | ikv = mbkv(ji,jj) |
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| 271 | IF( MAX(iku,ikv) > 1 ) THEN |
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| 272 | u_bbl(ji,jj,iku) = zalphax(ji,jj) * un(ji,jj,iku) |
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| 273 | v_bbl(ji,jj,ikv) = zalphay(ji,jj) * vn(ji,jj,ikv) |
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| 274 | ENDIF |
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[789] | 275 | #if ! defined key_vectopt_loop |
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[481] | 276 | END DO |
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| 277 | #endif |
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| 278 | END DO |
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| 279 | |
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| 280 | ENDIF |
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| 281 | |
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| 282 | |
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[3] | 283 | ! 5. Along sigma advective trend |
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| 284 | ! ------------------------------- |
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| 285 | ! ... Second order centered tracer flux at u and v-points |
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| 286 | |
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[789] | 287 | # if defined key_vectopt_loop |
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[3] | 288 | jj = 1 |
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| 289 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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| 290 | # else |
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| 291 | DO jj = 1, jpjm1 |
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| 292 | DO ji = 1, jpim1 |
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| 293 | # endif |
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| 294 | iku = mbku(ji,jj) |
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| 295 | ikv = mbkv(ji,jj) |
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[481] | 296 | zfui = e2u(ji,jj) * fse3u(ji,jj,iku) * u_bbl(ji,jj,iku) |
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| 297 | zfvj = e1v(ji,jj) * fse3v(ji,jj,ikv) * v_bbl(ji,jj,ikv) |
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[3] | 298 | ! centered scheme |
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| 299 | ! zwx(ji,jj) = 0.5* zfui * ( ztnb(ji,jj) + ztnb(ji+1,jj) ) |
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| 300 | ! zwy(ji,jj) = 0.5* zfvj * ( ztnb(ji,jj) + ztnb(ji,jj+1) ) |
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| 301 | ! zww(ji,jj) = 0.5* zfui * ( zsnb(ji,jj) + zsnb(ji+1,jj) ) |
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| 302 | ! zwz(ji,jj) = 0.5* zfvj * ( zsnb(ji,jj) + zsnb(ji,jj+1) ) |
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| 303 | ! upstream scheme |
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[21] | 304 | zwx(ji,jj) = ( ( zfui + ABS( zfui ) ) * ztbb(ji ,jj ) & |
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| 305 | & +( zfui - ABS( zfui ) ) * ztbb(ji+1,jj ) ) * 0.5 |
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[409] | 306 | zwy(ji,jj) = ( ( zfvj + ABS( zfvj ) ) * ztbb(ji ,jj ) & |
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| 307 | & +( zfvj - ABS( zfvj ) ) * ztbb(ji ,jj+1) ) * 0.5 |
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[21] | 308 | zww(ji,jj) = ( ( zfui + ABS( zfui ) ) * zsbb(ji ,jj ) & |
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| 309 | & +( zfui - ABS( zfui ) ) * zsbb(ji+1,jj ) ) * 0.5 |
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[409] | 310 | zwz(ji,jj) = ( ( zfvj + ABS( zfvj ) ) * zsbb(ji ,jj ) & |
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| 311 | & +( zfvj - ABS( zfvj ) ) * zsbb(ji ,jj+1) ) * 0.5 |
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[789] | 312 | #if ! defined key_vectopt_loop |
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[3] | 313 | END DO |
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| 314 | #endif |
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| 315 | END DO |
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[789] | 316 | # if defined key_vectopt_loop |
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[3] | 317 | jj = 1 |
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| 318 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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| 319 | # else |
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| 320 | DO jj = 2, jpjm1 |
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| 321 | DO ji = 2, jpim1 |
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| 322 | # endif |
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| 323 | ik = mbkt(ji,jj) |
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| 324 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,ik) ) |
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[216] | 325 | ! horizontal advective trends |
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[3] | 326 | zta = - zbtr * ( zwx(ji,jj) - zwx(ji-1,jj ) & |
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| 327 | & + zwy(ji,jj) - zwy(ji ,jj-1) ) |
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| 328 | zsa = - zbtr * ( zww(ji,jj) - zww(ji-1,jj ) & |
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| 329 | & + zwz(ji,jj) - zwz(ji ,jj-1) ) |
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| 330 | |
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[216] | 331 | ! add it to the general tracer trends |
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[3] | 332 | ta(ji,jj,ik) = ta(ji,jj,ik) + zta |
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| 333 | sa(ji,jj,ik) = sa(ji,jj,ik) + zsa |
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[789] | 334 | #if ! defined key_vectopt_loop |
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[3] | 335 | END DO |
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| 336 | #endif |
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| 337 | END DO |
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| 338 | |
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[503] | 339 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ta, clinfo1=' bbl - Ta: ', mask1=tmask, & |
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| 340 | & tab3d_2=sa, clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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[3] | 341 | |
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| 342 | ! 6. Vertical advection velocities |
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| 343 | ! -------------------------------- |
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| 344 | ! ... computes divergence perturbation (velocties to be removed from upper t boxes : |
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| 345 | DO jk= 1, jpkm1 |
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| 346 | DO jj=1, jpjm1 |
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[409] | 347 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 348 | zwu(ji,jj) = -e2u(ji,jj) * u_bbl(ji,jj,jk) * fse3u(ji,jj,jk) |
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| 349 | zwv(ji,jj) = -e1v(ji,jj) * v_bbl(ji,jj,jk) * fse3v(ji,jj,jk) |
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[3] | 350 | END DO |
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| 351 | END DO |
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| 352 | |
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| 353 | ! ... horizontal divergence |
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| 354 | DO jj = 2, jpjm1 |
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| 355 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[409] | 356 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) |
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[3] | 357 | zhdivn(ji,jj,jk) = ( zwu(ji,jj) - zwu(ji-1,jj ) & |
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| 358 | + zwv(ji,jj) - zwv(ji ,jj-1) ) / zbt |
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| 359 | END DO |
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| 360 | END DO |
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| 361 | END DO |
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| 362 | |
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| 363 | |
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| 364 | ! ... horizontal bottom divergence |
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[481] | 365 | |
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| 366 | IF( ln_zps ) THEN |
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| 367 | |
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[789] | 368 | # if defined key_vectopt_loop |
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[481] | 369 | jj = 1 |
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| 370 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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[3] | 371 | # else |
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[481] | 372 | DO jj = 1, jpjm1 |
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| 373 | DO ji = 1, jpim1 |
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[3] | 374 | # endif |
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[481] | 375 | iku = mbku(ji ,jj ) |
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| 376 | ikv = mbkv(ji ,jj ) |
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| 377 | iku1 = mbkt(ji+1,jj ) |
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| 378 | iku2 = mbkt(ji ,jj ) |
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| 379 | ikv1 = mbkt(ji ,jj+1) |
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| 380 | ikv2 = mbkt(ji ,jj ) |
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| 381 | ze3u = MIN( fse3u(ji,jj,iku1), fse3u(ji,jj,iku2) ) |
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| 382 | ze3v = MIN( fse3v(ji,jj,ikv1), fse3v(ji,jj,ikv2) ) |
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| 383 | |
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| 384 | zwu(ji,jj) = zalphax(ji,jj) * e2u(ji,jj) * ze3u |
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| 385 | zwv(ji,jj) = zalphay(ji,jj) * e1v(ji,jj) * ze3v |
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[789] | 386 | #if ! defined key_vectopt_loop |
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[481] | 387 | END DO |
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[3] | 388 | #endif |
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[481] | 389 | END DO |
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| 390 | |
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| 391 | ELSE |
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[3] | 392 | |
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[789] | 393 | # if defined key_vectopt_loop |
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[481] | 394 | jj = 1 |
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| 395 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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| 396 | # else |
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| 397 | DO jj = 1, jpjm1 |
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| 398 | DO ji = 1, jpim1 |
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| 399 | # endif |
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| 400 | iku = mbku(ji,jj) |
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| 401 | ikv = mbkv(ji,jj) |
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| 402 | zwu(ji,jj) = zalphax(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,iku) |
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| 403 | zwv(ji,jj) = zalphay(ji,jj) * e1v(ji,jj) * fse3v(ji,jj,ikv) |
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[789] | 404 | #if ! defined key_vectopt_loop |
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[481] | 405 | END DO |
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| 406 | #endif |
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| 407 | END DO |
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| 408 | |
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| 409 | ENDIF |
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| 410 | |
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| 411 | |
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[789] | 412 | # if defined key_vectopt_loop |
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[3] | 413 | jj = 1 |
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| 414 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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| 415 | # else |
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| 416 | DO jj = 2, jpjm1 |
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| 417 | DO ji = 2, jpim1 |
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| 418 | # endif |
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| 419 | ik = mbkt(ji,jj) |
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| 420 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,ik) |
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| 421 | zhdivn(ji,jj,ik) = & |
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[481] | 422 | & ( zwu(ji ,jj ) * ( zunb(ji ,jj ) - un(ji ,jj ,ik) ) & |
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| 423 | & - zwu(ji-1,jj ) * ( zunb(ji-1,jj ) - un(ji-1,jj ,ik) ) & |
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| 424 | & + zwv(ji ,jj ) * ( zvnb(ji ,jj ) - vn(ji ,jj ,ik) ) & |
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| 425 | & - zwv(ji ,jj-1) * ( zvnb(ji ,jj-1) - vn(ji ,jj-1,ik) ) & |
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[3] | 426 | & ) / zbt |
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| 427 | |
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[789] | 428 | # if ! defined key_vectopt_loop |
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[3] | 429 | END DO |
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| 430 | # endif |
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| 431 | END DO |
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| 432 | |
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| 433 | ! 7. compute additional vertical velocity to be used in t boxes |
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| 434 | ! ------------------------------------------------------------- |
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| 435 | ! ... Computation from the bottom |
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| 436 | ! Note that w_bbl(:,:,jpk) has been set to 0 in tra_bbl_init |
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| 437 | DO jk = jpkm1, 1, -1 |
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| 438 | DO jj= 2, jpjm1 |
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| 439 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 440 | w_bbl(ji,jj,jk) = w_bbl(ji,jj,jk+1) - fse3t(ji,jj,jk)*zhdivn(ji,jj,jk) |
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| 441 | END DO |
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| 442 | END DO |
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| 443 | END DO |
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| 444 | |
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| 445 | ! Boundary condition on w_bbl (unchanged sign) |
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| 446 | CALL lbc_lnk( w_bbl, 'W', 1. ) |
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[1482] | 447 | |
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| 448 | CALL iom_put( "uoce_bbl", u_bbl ) ! bbl i-current |
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| 449 | CALL iom_put( "voce_bbl", v_bbl ) ! bbl j-current |
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| 450 | CALL iom_put( "woce_bbl", w_bbl ) ! bbl vert. current |
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[503] | 451 | ! |
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[3] | 452 | END SUBROUTINE tra_bbl_adv |
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