| 1 | !!---------------------------------------------------------------------- |
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| 2 | !! *** trabbl_adv.h90 *** |
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| 3 | !!---------------------------------------------------------------------- |
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| 4 | |
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| 5 | !!---------------------------------------------------------------------- |
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| 6 | !! OPA 9.0 , LODYC-IPSL (2003) |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | |
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| 9 | SUBROUTINE tra_bbl_adv( kt ) |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | !! *** ROUTINE tra_bbl_adv *** |
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| 12 | !! |
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| 13 | !! ** Purpose : Compute the before tracer (t & s) trend associated |
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| 14 | !! with the bottom boundary layer and add it to the general trend |
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| 15 | !! of tracer equations. The bottom boundary layer is supposed to be |
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| 16 | !! both an advective and diffusive bottom boundary layer. |
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| 17 | !! |
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| 18 | !! ** Method : Computes the bottom boundary horizontal and vertical |
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| 19 | !! advection terms. Add it to the general trend : ta =ta + adv_bbl. |
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| 20 | !! When the product grad( rho) * grad(h) < 0 (where grad is a |
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| 21 | !! along bottom slope gradient) an additional lateral 2nd order |
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| 22 | !! diffusion along the bottom slope is added to the general |
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| 23 | !! tracer trend, otherwise the additional trend is set to 0. |
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| 24 | !! Second order operator (laplacian type) with variable coefficient |
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| 25 | !! computed as follow for temperature (idem on s): |
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| 26 | !! difft = 1/(e1t*e2t*e3t) { di-1[ ahbt e2u*e3u/e1u di[ztb] ] |
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| 27 | !! + dj-1[ ahbt e1v*e3v/e2v dj[ztb] ] } |
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| 28 | !! where ztb is a 2D array: the bottom ocean te;perature and ahtb |
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| 29 | !! is a time and space varying diffusive coefficient defined by: |
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| 30 | !! ahbt = zahbp if grad(rho).grad(h) < 0 |
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| 31 | !! = 0. otherwise. |
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| 32 | !! Note that grad(.) is the along bottom slope gradient. grad(rho) |
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| 33 | !! is evaluated using the local density (i.e. referenced at the |
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| 34 | !! local depth). Typical value of ahbt is 2000 m2/s (equivalent to |
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| 35 | !! a downslope velocity of 20 cm/s if the condition for slope |
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| 36 | !! convection is satified) |
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| 37 | !! Add this before trend to the general trend (ta,sa) of the |
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| 38 | !! botton ocean tracer point: |
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| 39 | !! ta = ta + difft |
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| 40 | !! |
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| 41 | !! ** Action : - update (ta,sa) at the bottom level with the bottom |
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| 42 | !! boundary layer trend |
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| 43 | !! - save the lateral diffusion trends in tldfbbl/sldfbbl ('key_trdtra') |
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| 44 | !! - save the horizontal advection trends in tladbbl/sladbbl ('key_trdtra') |
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| 45 | !! |
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| 46 | !! References : |
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| 47 | !! Beckmann, A., and R. Doscher, 1997, J. Phys.Oceanogr., 581-591. |
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| 48 | !! |
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| 49 | !! History : |
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| 50 | !! 8.5 ! 02-12 (A. de Miranda, G. Madec) Original Code |
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| 51 | !! 9.0 ! 04-01 (A. de Miranda, G. Madec, J.M. Molines ) |
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| 52 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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| 53 | !!---------------------------------------------------------------------- |
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| 54 | !! * Modules used |
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| 55 | USE eosbn2 |
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| 56 | USE flxrnf |
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| 57 | USE ocfzpt |
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| 58 | USE lbclnk |
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| 59 | USE oce, ONLY : ztdta => ua, & ! use ua as 3D workspace |
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| 60 | ztdsa => va ! use va as 3D workspace |
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| 61 | |
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| 62 | !! * Arguments |
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| 63 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
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| 64 | |
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| 65 | !! * Local declarations |
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| 66 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 67 | INTEGER :: ik, iku, ikv ! temporary integers |
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| 68 | |
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| 69 | REAL(wp) :: & |
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| 70 | zsign, zt, zs, zh, zalbet, & ! temporary scalars |
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| 71 | zgdrho, zbtr, zta, zsa ! " " |
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| 72 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 73 | zki, zkj, zkw, zkx, zky, zkz, & ! temporary workspace arrays |
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| 74 | ztnb, zsnb, zdep, ztbb, zsbb, & ! " " |
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| 75 | zahu, zahv ! " " |
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| 76 | REAL(wp), DIMENSION(jpi,jpj) :: & ! temporary workspace arrays |
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| 77 | zalphax, zwu, zunb, & ! " " |
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| 78 | zalphay, zwv, zvnb, & ! " " |
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| 79 | zwx, zwy, zww, zwz ! " " |
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| 80 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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| 81 | zhdivn ! temporary workspace arrays |
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| 82 | REAL(wp) :: & |
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| 83 | zfui, zfvj, zbt, zsigna ! temporary scalars |
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| 84 | REAL(wp) :: & |
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| 85 | fsalbt, pft, pfs, pfh ! statement function |
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| 86 | !!---------------------------------------------------------------------- |
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| 87 | ! ratio alpha/beta |
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| 88 | ! ================ |
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| 89 | ! fsalbt: ratio of thermal over saline expension coefficients |
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| 90 | ! pft : potential temperature in degrees celcius |
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| 91 | ! pfs : salinity anomaly (s-35) in psu |
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| 92 | ! pfh : depth in meters |
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| 93 | |
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| 94 | fsalbt( pft, pfs, pfh ) = & |
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| 95 | ( ( ( -0.255019e-07 * pft + 0.298357e-05 ) * pft & |
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| 96 | - 0.203814e-03 ) * pft & |
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| 97 | + 0.170907e-01 ) * pft & |
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| 98 | + 0.665157e-01 & |
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| 99 | +(-0.678662e-05 * pfs - 0.846960e-04 * pft + 0.378110e-02 ) * pfs & |
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| 100 | + ( ( - 0.302285e-13 * pfh & |
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| 101 | - 0.251520e-11 * pfs & |
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| 102 | + 0.512857e-12 * pft * pft ) * pfh & |
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| 103 | - 0.164759e-06 * pfs & |
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| 104 | +( 0.791325e-08 * pft - 0.933746e-06 ) * pft & |
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| 105 | + 0.380374e-04 ) * pfh |
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| 106 | !!---------------------------------------------------------------------- |
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| 107 | |
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| 108 | |
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| 109 | IF( kt == nit000 ) CALL tra_bbl_init ! initialization at first time-step |
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| 110 | |
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| 111 | ! Save ta and sa trends |
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| 112 | IF( l_trdtra ) THEN |
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| 113 | ztdta(:,:,:) = ta(:,:,:) |
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| 114 | ztdsa(:,:,:) = sa(:,:,:) |
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| 115 | ENDIF |
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| 116 | |
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| 117 | ! 1. 2D fields of bottom temperature and salinity, and bottom slope |
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| 118 | ! ----------------------------------------------------------------- |
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| 119 | ! mbathy= number of w-level, minimum value=1 (cf dommsk.F) |
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| 120 | |
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| 121 | #if defined key_vectopt_loop && ! defined key_autotasking |
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| 122 | jj = 1 |
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| 123 | DO ji = 1, jpij ! vector opt. (forced unrolling) |
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| 124 | #else |
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| 125 | DO jj = 1, jpj |
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| 126 | DO ji = 1, jpi |
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| 127 | #endif |
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| 128 | ik = mbkt(ji,jj) ! index of the bottom ocean T-level |
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| 129 | ztnb(ji,jj) = tn(ji,jj,ik) * tmask(ji,jj,1) ! masked now T at the ocean bottom |
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| 130 | zsnb(ji,jj) = sn(ji,jj,ik) * tmask(ji,jj,1) ! masked now S at the ocean bottom |
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| 131 | ztbb(ji,jj) = tb(ji,jj,ik) * tmask(ji,jj,1) ! masked before T at the ocean bottom |
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| 132 | zsbb(ji,jj) = sb(ji,jj,ik) * tmask(ji,jj,1) ! masked before S at the ocean bottom |
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| 133 | zdep(ji,jj) = fsdept(ji,jj,ik) ! depth of the ocean bottom T-level |
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| 134 | #if ! defined key_vectopt_loop || defined key_autotasking |
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| 135 | END DO |
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| 136 | #endif |
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| 137 | END DO |
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| 138 | #if defined key_vectopt_loop && ! defined key_autotasking |
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| 139 | jj = 1 |
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| 140 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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| 141 | zunb(ji,jj) = un(ji,jj,mbku(ji,jj)) * umask(ji,jj,1) |
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| 142 | zvnb(ji,jj) = vn(ji,jj,mbkv(ji,jj)) * vmask(ji,jj,1) ! retirer le mask en u, v et t ! |
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| 143 | END DO |
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| 144 | #else |
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| 145 | DO jj = 1, jpjm1 |
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| 146 | DO ji = 1, jpim1 |
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| 147 | zunb(ji,jj) = un(ji,jj,mbku(ji,jj)) * umask(ji,jj,1) |
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| 148 | zvnb(ji,jj) = vn(ji,jj,mbkv(ji,jj)) * vmask(ji,jj,1) |
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| 149 | END DO |
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| 150 | END DO |
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| 151 | #endif |
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| 152 | |
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| 153 | ! boundary conditions on zunb and zvnb (changed sign) |
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| 154 | CALL lbc_lnk( zunb, 'U', -1. ) ; CALL lbc_lnk( zvnb, 'V', -1. ) |
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| 155 | ! boundary condition on ztnb and znbb |
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| 156 | CALL lbc_lnk( ztnb, 'T', 1. ) ; CALL lbc_lnk( ztbb, 'T', 1. ) |
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| 157 | ! boundary condition on zsnb and zsbb |
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| 158 | CALL lbc_lnk( zsnb, 'T', 1. ) ; CALL lbc_lnk( zsbb, 'T', 1. ) |
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| 159 | |
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| 160 | ! Conditional diffusion along the slope in the bottom boundary layer |
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| 161 | |
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| 162 | #if defined key_trabbl_dif |
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| 163 | # if defined key_vectopt_loop && ! defined key_autotasking |
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| 164 | jj = 1 |
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| 165 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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| 166 | # else |
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| 167 | DO jj = 1, jpjm1 |
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| 168 | DO ji = 1, jpim1 |
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| 169 | # endif |
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| 170 | iku = mbku(ji,jj) |
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| 171 | ikv = mbkv(ji,jj) |
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| 172 | zahu(ji,jj) = atrbbl*e2u(ji,jj)*fse3u(ji,jj,iku)/e1u(ji,jj) * umask(ji,jj,1) |
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| 173 | zahv(ji,jj) = atrbbl*e1v(ji,jj)*fse3v(ji,jj,ikv)/e2v(ji,jj) * vmask(ji,jj,1) |
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| 174 | # if ! defined key_vectopt_loop || defined key_autotasking |
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| 175 | END DO |
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| 176 | # endif |
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| 177 | END DO |
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| 178 | #endif |
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| 179 | |
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| 180 | |
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| 181 | ! 2. Criteria of additional bottom diffusivity: grad(rho).grad(h)<0 |
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| 182 | ! -------------------------------------------- |
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| 183 | ! Sign of the local density gradient along the i- and j-slopes |
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| 184 | ! multiplied by the slope of the ocean bottom |
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| 185 | |
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| 186 | SELECT CASE ( neos ) |
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| 187 | |
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| 188 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
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| 189 | |
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| 190 | DO jj = 1, jpjm1 |
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| 191 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 192 | ! ... temperature, salinity anomalie and depth |
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| 193 | zt = 0.5 * ( ztnb(ji,jj) + ztnb(ji+1,jj) ) |
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| 194 | zs = 0.5 * ( zsnb(ji,jj) + zsnb(ji+1,jj) ) - 35.0 |
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| 195 | zh = 0.5 * ( zdep(ji,jj) + zdep(ji+1,jj) ) |
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| 196 | ! ... masked ratio alpha/beta |
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| 197 | zalbet = fsalbt( zt, zs, zh )*umask(ji,jj,1) |
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| 198 | ! ... local density gradient along i-bathymetric slope |
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| 199 | zgdrho = zalbet*( ztnb(ji+1,jj) - ztnb(ji,jj) ) & |
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| 200 | - ( zsnb(ji+1,jj) - zsnb(ji,jj) ) |
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| 201 | zgdrho = zgdrho * umask(ji,jj,1) |
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| 202 | ! ... sign of local i-gradient of density multiplied by the i-slope |
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| 203 | zsign = sign( 0.5, -zgdrho * ( zdep(ji+1,jj) - zdep(ji,jj) ) ) |
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| 204 | zki(ji,jj) = ( 0.5 - zsign ) * zahu(ji,jj) |
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| 205 | |
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| 206 | zsigna= sign(0.5, zunb(ji,jj)*( zdep(ji+1,jj) - zdep(ji,jj) )) |
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| 207 | zalphax(ji,jj)=(0.5+zsigna)*(0.5-zsign)*umask(ji,jj,1) |
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| 208 | END DO |
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| 209 | END DO |
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| 210 | |
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| 211 | DO jj = 1, jpjm1 |
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| 212 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 213 | ! ... temperature, salinity anomalie and depth |
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| 214 | zt = 0.5 * ( ztnb(ji,jj+1) + ztnb(ji,jj) ) |
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| 215 | zs = 0.5 * ( zsnb(ji,jj+1) + zsnb(ji,jj) ) - 35.0 |
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| 216 | zh = 0.5 * ( zdep(ji,jj+1) + zdep(ji,jj) ) |
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| 217 | ! ... masked ratio alpha/beta |
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| 218 | zalbet = fsalbt( zt, zs, zh )*vmask(ji,jj,1) |
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| 219 | ! ... local density gradient along j-bathymetric slope |
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| 220 | zgdrho = zalbet*( ztnb(ji,jj+1) - ztnb(ji,jj) ) & |
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| 221 | - ( zsnb(ji,jj+1) - zsnb(ji,jj) ) |
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| 222 | zgdrho = zgdrho*vmask(ji,jj,1) |
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| 223 | ! ... sign of local j-gradient of density multiplied by the j-slope |
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| 224 | zsign = sign( 0.5, -zgdrho * ( zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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| 225 | zkj(ji,jj) = ( 0.5 - zsign ) * zahv(ji,jj) |
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| 226 | |
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| 227 | zsigna= sign(0.5, zvnb(ji,jj)*(zdep(ji,jj+1) - zdep(ji,jj) ) ) |
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| 228 | zalphay(ji,jj)=(0.5+zsigna)*(0.5-zsign)*vmask(ji,jj,1) |
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| 229 | END DO |
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| 230 | END DO |
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| 231 | |
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| 232 | |
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| 233 | CASE ( 1 ) ! Linear formulation function of temperature only |
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| 234 | |
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| 235 | IF(lwp) WRITE(numout,cform_err) |
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| 236 | IF(lwp) WRITE(numout,*) ' use of linear eos rho(T,S) = rau0 * ( rbeta * S - ralpha * T )' |
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| 237 | IF(lwp) WRITE(numout,*) ' bbl not implented: easy to do it ' |
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| 238 | nstop = nstop + 1 |
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| 239 | |
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| 240 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
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| 241 | |
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| 242 | IF(lwp) WRITE(numout,cform_err) |
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| 243 | IF(lwp) WRITE(numout,*) ' use of linear eos rho(T,S) = rau0 * ( rbeta * S - ralpha * T )' |
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| 244 | IF(lwp) WRITE(numout,*) ' bbl not implented: easy to do it ' |
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| 245 | nstop = nstop + 1 |
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| 246 | |
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| 247 | CASE DEFAULT |
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| 248 | |
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| 249 | IF(lwp) WRITE(numout,cform_err) |
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| 250 | IF(lwp) WRITE(numout,*) ' bad flag value for neos = ', neos |
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| 251 | nstop = nstop + 1 |
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| 252 | |
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| 253 | END SELECT |
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| 254 | |
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| 255 | ! lateral boundary conditions on zalphax and zalphay (unchanged sign) |
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| 256 | CALL lbc_lnk( zalphax, 'U', 1. ) ; CALL lbc_lnk( zalphay, 'V', 1. ) |
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| 257 | |
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| 258 | |
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| 259 | ! 3. Velocities that are exchanged between ajacent bottom boxes. |
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| 260 | !--------------------------------------------------------------- |
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| 261 | |
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| 262 | ! ... is equal to zero but where bbl will work. |
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| 263 | u_bbl(:,:,:) = 0.e0 |
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| 264 | v_bbl(:,:,:) = 0.e0 |
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| 265 | # if defined key_vectopt_loop && ! defined key_autotasking |
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| 266 | jj = 1 |
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| 267 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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| 268 | # else |
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| 269 | DO jj = 1, jpjm1 |
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| 270 | DO ji = 1, jpim1 |
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| 271 | # endif |
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| 272 | iku = mbku(ji,jj) |
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| 273 | ikv = mbkv(ji,jj) |
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| 274 | IF( MAX(iku,ikv) > 1 ) THEN |
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| 275 | u_bbl(ji,jj,iku) = zalphax(ji,jj) * un(ji,jj,iku) * umask(ji,jj,1) |
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| 276 | v_bbl(ji,jj,ikv) = zalphay(ji,jj) * vn(ji,jj,ikv) * vmask(ji,jj,1) |
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| 277 | ENDIF |
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| 278 | # if ! defined key_vectopt_loop || defined key_autotasking |
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| 279 | END DO |
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| 280 | # endif |
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| 281 | END DO |
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| 282 | |
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| 283 | ! lateral boundary conditions on u_bbl and v_bbl (changed sign) |
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| 284 | CALL lbc_lnk( u_bbl, 'U', -1. ) ; CALL lbc_lnk( v_bbl, 'V', -1. ) |
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| 285 | |
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| 286 | |
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| 287 | |
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| 288 | #if defined key_trabbl_dif |
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| 289 | ! 4. Additional second order diffusive trends |
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| 290 | ! ------------------------------------------- |
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| 291 | |
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| 292 | ! ... first derivative (gradient) |
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| 293 | DO jj = 1, jpjm1 |
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| 294 | DO ji = 1, fs_jpim1 ! vertor opt. |
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| 295 | zkx(ji,jj) = zki(ji,jj)*( ztbb(ji+1,jj) - ztbb(ji,jj) ) |
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| 296 | zkz(ji,jj) = zki(ji,jj)*( zsbb(ji+1,jj) - zsbb(ji,jj) ) |
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| 297 | |
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| 298 | zky(ji,jj) = zkj(ji,jj)*( ztbb(ji,jj+1) - ztbb(ji,jj) ) |
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| 299 | zkw(ji,jj) = zkj(ji,jj)*( zsbb(ji,jj+1) - zsbb(ji,jj) ) |
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| 300 | END DO |
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| 301 | END DO |
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| 302 | |
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| 303 | IF( cp_cfg == "orca" ) THEN |
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| 304 | SELECT CASE ( jp_cfg ) |
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| 305 | ! ! ======================= |
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| 306 | CASE ( 2 ) ! ORCA_R2 configuration |
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| 307 | ! ! ======================= |
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| 308 | ! Gibraltar enhancement of BBL |
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| 309 | zkx( mi0(139):mi1(140) , mj0(102):mj1(102) ) = 4.e0 * zkx( mi0(139):mi1(140) , mj0(102):mj1(102) ) |
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| 310 | zky( mi0(139):mi1(140) , mj0(102):mj1(102) ) = 4.e0 * zky( mi0(139):mi1(140) , mj0(102):mj1(102) ) |
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| 311 | |
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| 312 | ! Red Sea enhancement of BBL |
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| 313 | zkx( mi0(161):mi1(162) , mj0(88):mj1(88) ) = 10.e0 * zkx( mi0(161):mi1(162) , mj0(88):mj1(88) ) |
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| 314 | zky( mi0(161):mi1(162) , mj0(88):mj1(88) ) = 10.e0 * zky( mi0(161):mi1(162) , mj0(88):mj1(88) ) |
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| 315 | |
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| 316 | ! ! ======================= |
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| 317 | CASE ( 4 ) ! ORCA_R4 configuration |
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| 318 | ! ! ======================= |
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| 319 | ! Gibraltar enhancement of BBL |
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| 320 | zkx( mi0(70):mi1(71) , mj0(52):mj1(52) ) = 4.e0 * zkx( mi0(70):mi1(71) , mj0(52):mj1(52) ) |
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| 321 | zky( mi0(70):mi1(71) , mj0(52):mj1(52) ) = 4.e0 * zky( mi0(70):mi1(71) , mj0(52):mj1(52) ) |
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| 322 | |
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| 323 | END SELECT |
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| 324 | |
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| 325 | ENDIF |
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| 326 | |
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| 327 | ! ... second derivative (divergence) and add to the general tracer trend |
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| 328 | |
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| 329 | # if defined key_vectopt_loop && ! defined key_autotasking |
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| 330 | jj = 1 |
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| 331 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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| 332 | # else |
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| 333 | DO jj = 2, jpjm1 |
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| 334 | DO ji = 2, jpim1 |
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| 335 | # endif |
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| 336 | ik = mbkt(ji,jj) |
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| 337 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,ik) ) |
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| 338 | zta = ( zkx(ji,jj) - zkx(ji-1,jj ) & |
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| 339 | & + zky(ji,jj) - zky(ji ,jj-1) ) * zbtr |
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| 340 | zsa = ( zkz(ji,jj) - zkz(ji-1,jj ) & |
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| 341 | & + zkw(ji,jj) - zkw(ji ,jj-1) ) * zbtr |
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| 342 | ta(ji,jj,ik) = ta(ji,jj,ik) + zta |
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| 343 | sa(ji,jj,ik) = sa(ji,jj,ik) + zsa |
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| 344 | #if ! defined key_vectopt_loop || defined key_autotasking |
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| 345 | END DO |
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| 346 | #endif |
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| 347 | END DO |
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| 348 | |
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| 349 | ! save the trends for diagnostic |
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| 350 | ! BBL lateral diffusion tracers trends |
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| 351 | IF( l_trdtra ) THEN |
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| 352 | # if defined key_vectopt_loop && ! defined key_autotasking |
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| 353 | jj = 1 |
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| 354 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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| 355 | # else |
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| 356 | DO jj = 2, jpjm1 |
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| 357 | DO ji = 2, jpim1 |
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| 358 | # endif |
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| 359 | ik = mbkt(ji,jj) |
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| 360 | tldfbbl(ji,jj) = ta(ji,jj,ik) - ztdta(ji,jj,ik) |
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| 361 | sldfbbl(ji,jj) = sa(ji,jj,ik) - ztdsa(ji,jj,ik) |
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| 362 | # if ! defined key_vectopt_loop || defined key_autotasking |
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| 363 | END DO |
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| 364 | # endif |
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| 365 | END DO |
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| 366 | |
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| 367 | ! save the new ta & sa trends |
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| 368 | ztdta(:,:,:) = ta(:,:,:) |
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| 369 | ztdsa(:,:,:) = sa(:,:,:) |
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| 370 | |
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| 371 | ENDIF |
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| 372 | |
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| 373 | #endif |
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| 374 | |
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| 375 | ! 5. Along sigma advective trend |
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| 376 | ! ------------------------------- |
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| 377 | ! ... Second order centered tracer flux at u and v-points |
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| 378 | |
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| 379 | # if defined key_vectopt_loop && ! defined key_autotasking |
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| 380 | jj = 1 |
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| 381 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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| 382 | # else |
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| 383 | DO jj = 1, jpjm1 |
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| 384 | DO ji = 1, jpim1 |
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| 385 | # endif |
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| 386 | iku = mbku(ji,jj) |
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| 387 | ikv = mbkv(ji,jj) |
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| 388 | zfui = zalphax(ji,jj) *e2u(ji,jj) * fse3u(ji,jj,iku) * zunb(ji,jj) |
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| 389 | zfvj = zalphay(ji,jj) *e1v(ji,jj) * fse3v(ji,jj,ikv) * zvnb(ji,jj) |
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| 390 | ! centered scheme |
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| 391 | ! zwx(ji,jj) = 0.5* zfui * ( ztnb(ji,jj) + ztnb(ji+1,jj) ) |
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| 392 | ! zwy(ji,jj) = 0.5* zfvj * ( ztnb(ji,jj) + ztnb(ji,jj+1) ) |
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| 393 | ! zww(ji,jj) = 0.5* zfui * ( zsnb(ji,jj) + zsnb(ji+1,jj) ) |
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| 394 | ! zwz(ji,jj) = 0.5* zfvj * ( zsnb(ji,jj) + zsnb(ji,jj+1) ) |
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| 395 | ! upstream scheme |
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| 396 | zwx(ji,jj) = ( ( zfui + ABS( zfui ) ) * ztbb(ji ,jj ) & |
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| 397 | & +( zfui - ABS( zfui ) ) * ztbb(ji+1,jj ) ) * 0.5 |
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| 398 | zwy(ji,jj) = ( ( zfui + ABS( zfvj ) ) * ztbb(ji ,jj ) & |
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| 399 | & +( zfui - ABS( zfvj ) ) * ztbb(ji ,jj+1) ) * 0.5 |
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| 400 | zww(ji,jj) = ( ( zfui + ABS( zfui ) ) * zsbb(ji ,jj ) & |
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| 401 | & +( zfui - ABS( zfui ) ) * zsbb(ji+1,jj ) ) * 0.5 |
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| 402 | zwz(ji,jj) = ( ( zfui + ABS( zfvj ) ) * zsbb(ji ,jj ) & |
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| 403 | & +( zfui - ABS( zfvj ) ) * zsbb(ji ,jj+1) ) * 0.5 |
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| 404 | #if ! defined key_vectopt_loop || defined key_autotasking |
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| 405 | END DO |
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| 406 | #endif |
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| 407 | END DO |
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| 408 | # if defined key_vectopt_loop && ! defined key_autotasking |
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| 409 | jj = 1 |
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| 410 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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| 411 | # else |
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| 412 | DO jj = 2, jpjm1 |
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| 413 | DO ji = 2, jpim1 |
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| 414 | # endif |
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| 415 | ik = mbkt(ji,jj) |
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| 416 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,ik) ) |
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| 417 | ! horizontal advective trends |
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| 418 | zta = - zbtr * ( zwx(ji,jj) - zwx(ji-1,jj ) & |
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| 419 | & + zwy(ji,jj) - zwy(ji ,jj-1) ) |
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| 420 | zsa = - zbtr * ( zww(ji,jj) - zww(ji-1,jj ) & |
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| 421 | & + zwz(ji,jj) - zwz(ji ,jj-1) ) |
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| 422 | |
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| 423 | ! add it to the general tracer trends |
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| 424 | ta(ji,jj,ik) = ta(ji,jj,ik) + zta |
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| 425 | sa(ji,jj,ik) = sa(ji,jj,ik) + zsa |
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| 426 | #if ! defined key_vectopt_loop || defined key_autotasking |
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| 427 | END DO |
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| 428 | #endif |
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| 429 | END DO |
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| 430 | |
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| 431 | ! save the trends for diagnostic |
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| 432 | ! BBL lateral advection tracers trends |
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| 433 | IF( l_trdtra ) THEN |
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| 434 | # if defined key_vectopt_loop && ! defined key_autotasking |
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| 435 | jj = 1 |
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| 436 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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| 437 | # else |
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| 438 | DO jj = 2, jpjm1 |
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| 439 | DO ji = 2, jpim1 |
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| 440 | # endif |
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| 441 | ik = mbkt(ji,jj) |
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| 442 | tladbbl(ji,jj) = ta(ji,jj,ik) - ztdta(ji,jj,ik) |
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| 443 | sladbbl(ji,jj) = sa(ji,jj,ik) - ztdsa(ji,jj,ik) |
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| 444 | # if ! defined key_vectopt_loop || defined key_autotasking |
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| 445 | END DO |
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| 446 | # endif |
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| 447 | END DO |
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| 448 | |
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| 449 | ENDIF |
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| 450 | |
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| 451 | IF(l_ctl) THEN |
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| 452 | zta = SUM( ta(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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| 453 | zsa = SUM( sa(2:nictl,2:njctl,1:jpkm1) * tmask(2:nictl,2:njctl,1:jpkm1) ) |
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| 454 | WRITE(numout,*) ' bbl - Ta: ', zta-t_ctl, ' Sa: ', zsa-s_ctl |
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| 455 | t_ctl = zta ; s_ctl = zsa |
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| 456 | ENDIF |
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| 457 | |
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| 458 | |
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| 459 | ! 6. Vertical advection velocities |
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| 460 | ! -------------------------------- |
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| 461 | ! ... computes divergence perturbation (velocties to be removed from upper t boxes : |
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| 462 | DO jk= 1, jpkm1 |
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| 463 | DO jj=1, jpjm1 |
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| 464 | DO ji = 1, fs_jpim1 ! vertor opt. |
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| 465 | zwu(ji,jj) = -e2u(ji,jj) * u_bbl(ji,jj,jk) |
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| 466 | zwv(ji,jj) = -e1v(ji,jj) * v_bbl(ji,jj,jk) |
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| 467 | END DO |
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| 468 | END DO |
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| 469 | |
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| 470 | ! ... horizontal divergence |
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| 471 | DO jj = 2, jpjm1 |
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| 472 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 473 | zbt = e1t(ji,jj) * e2t(ji,jj) |
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| 474 | zhdivn(ji,jj,jk) = ( zwu(ji,jj) - zwu(ji-1,jj ) & |
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| 475 | + zwv(ji,jj) - zwv(ji ,jj-1) ) / zbt |
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| 476 | END DO |
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| 477 | END DO |
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| 478 | END DO |
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| 479 | |
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| 480 | |
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| 481 | ! ... horizontal bottom divergence |
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| 482 | # if defined key_vectopt_loop && ! defined key_autotasking |
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| 483 | jj = 1 |
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| 484 | DO ji = 1, jpij-jpi ! vector opt. (forced unrolling) |
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| 485 | # else |
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| 486 | DO jj = 1, jpjm1 |
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| 487 | DO ji = 1, jpim1 |
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| 488 | # endif |
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| 489 | iku = mbku(ji,jj) |
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| 490 | ikv = mbkv(ji,jj) |
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| 491 | zwu(ji,jj) = zalphax(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,iku) |
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| 492 | zwv(ji,jj) = zalphay(ji,jj) * e1v(ji,jj) * fse3v(ji,jj,ikv) |
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| 493 | #if ! defined key_vectopt_loop || defined key_autotasking |
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| 494 | END DO |
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| 495 | #endif |
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| 496 | END DO |
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| 497 | |
|---|
| 498 | # if defined key_vectopt_loop && ! defined key_autotasking |
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| 499 | jj = 1 |
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| 500 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
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| 501 | # else |
|---|
| 502 | DO jj = 2, jpjm1 |
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| 503 | DO ji = 2, jpim1 |
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| 504 | # endif |
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| 505 | ik = mbkt(ji,jj) |
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| 506 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,ik) |
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| 507 | zhdivn(ji,jj,ik) = & |
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| 508 | & ( zwu(ji ,jj ) * ( zunb(ji ,jj ) - un(ji ,jj ,ik) *umask(ji ,jj ,1) ) & |
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| 509 | & - zwu(ji-1,jj ) * ( zunb(ji-1,jj ) - un(ji-1,jj ,ik) *umask(ji-1,jj ,1) ) & |
|---|
| 510 | & + zwv(ji ,jj ) * ( zvnb(ji ,jj ) - vn(ji ,jj ,ik) *vmask(ji ,jj ,1) ) & |
|---|
| 511 | & - zwv(ji ,jj-1) * ( zvnb(ji ,jj-1) - vn(ji ,jj-1,ik) *vmask(ji ,jj-1,1) ) & |
|---|
| 512 | & ) / zbt |
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| 513 | |
|---|
| 514 | # if ! defined key_vectopt_loop || defined key_autotasking |
|---|
| 515 | END DO |
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| 516 | # endif |
|---|
| 517 | END DO |
|---|
| 518 | |
|---|
| 519 | ! 7. compute additional vertical velocity to be used in t boxes |
|---|
| 520 | ! ------------------------------------------------------------- |
|---|
| 521 | |
|---|
| 522 | ! ... Computation from the bottom |
|---|
| 523 | ! Note that w_bbl(:,:,jpk) has been set to 0 in tra_bbl_init |
|---|
| 524 | DO jk = jpkm1, 1, -1 |
|---|
| 525 | DO jj= 2, jpjm1 |
|---|
| 526 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 527 | w_bbl(ji,jj,jk) = w_bbl(ji,jj,jk+1) - fse3t(ji,jj,jk)*zhdivn(ji,jj,jk) |
|---|
| 528 | END DO |
|---|
| 529 | END DO |
|---|
| 530 | END DO |
|---|
| 531 | |
|---|
| 532 | ! Boundary condition on w_bbl (unchanged sign) |
|---|
| 533 | CALL lbc_lnk( w_bbl, 'W', 1. ) |
|---|
| 534 | |
|---|
| 535 | END SUBROUTINE tra_bbl_adv |
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