[1231] | 1 | MODULE traadv_qck |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traadv_qck *** |
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| 4 | !! Ocean active tracers: horizontal & vertical advective trend |
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| 5 | !!============================================================================== |
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[1559] | 6 | !! History : 3.0 ! 2008-07 (G. Reffray) Original code |
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[1231] | 7 | !!---------------------------------------------------------------------- |
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| 8 | |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! tra_adv_qck : update the tracer trend with the horizontal advection |
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| 11 | !! trends using a 3rd order finite difference scheme |
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[1559] | 12 | !! tra_adv_qck_i : |
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| 13 | !! tra_adv_qck_j : |
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| 14 | !! tra_adv_cen2_k : 2nd centered scheme for the vertical advection |
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[1231] | 15 | !!---------------------------------------------------------------------- |
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| 16 | USE oce ! ocean dynamics and active tracers |
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| 17 | USE dom_oce ! ocean space and time domain |
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| 18 | USE trdmod ! ocean active tracers trends |
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| 19 | USE trdmod_oce ! ocean variables trends |
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| 20 | USE trabbl ! advective term in the BBL |
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| 21 | USE lib_mpp ! distribued memory computing |
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| 22 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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| 23 | USE dynspg_oce ! surface pressure gradient variables |
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| 24 | USE in_out_manager ! I/O manager |
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| 25 | USE diaptr ! poleward transport diagnostics |
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| 26 | USE prtctl ! Print control |
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| 27 | |
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| 28 | IMPLICIT NONE |
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| 29 | PRIVATE |
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| 30 | |
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[1559] | 31 | PUBLIC tra_adv_qck ! routine called by step.F90 |
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[1231] | 32 | |
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[1559] | 33 | REAL(wp), DIMENSION(jpi,jpj) :: btr2 |
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| 34 | REAL(wp) :: r1_6 |
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| 35 | |
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[1231] | 36 | !! * Substitutions |
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| 37 | # include "domzgr_substitute.h90" |
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| 38 | # include "vectopt_loop_substitute.h90" |
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| 39 | !!---------------------------------------------------------------------- |
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[1559] | 40 | !! NEMO/OPA 3.2 , LOCEAN-IPSL (2009) |
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[1231] | 41 | !! $Id$ |
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| 42 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 43 | !!---------------------------------------------------------------------- |
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| 44 | |
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| 45 | CONTAINS |
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| 46 | |
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| 47 | SUBROUTINE tra_adv_qck( kt, pun, pvn, pwn ) |
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| 48 | !!---------------------------------------------------------------------- |
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| 49 | !! *** ROUTINE tra_adv_qck *** |
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| 50 | !! |
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| 51 | !! ** Purpose : Compute the now trend due to the advection of tracers |
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| 52 | !! and add it to the general trend of passive tracer equations. |
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| 53 | !! |
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| 54 | !! ** Method : The advection is evaluated by a third order scheme |
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[1559] | 55 | !! For a positive velocity u : u(i)>0 |
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| 56 | !! |--FU--|--FC--|--FD--|------| |
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| 57 | !! i-1 i i+1 i+2 |
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[1231] | 58 | !! |
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[1559] | 59 | !! For a negative velocity u : u(i)<0 |
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| 60 | !! |------|--FD--|--FC--|--FU--| |
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| 61 | !! i-1 i i+1 i+2 |
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| 62 | !! where FU is the second upwind point |
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| 63 | !! FD is the first douwning point |
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| 64 | !! FC is the central point (or the first upwind point) |
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[1231] | 65 | !! |
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[1559] | 66 | !! Flux(i) = u(i) * { 0.5(FC+FD) -0.5C(i)(FD-FC) -((1-C(i))/6)(FU+FD-2FC) } |
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| 67 | !! with C(i)=|u(i)|dx(i)/dt (=Courant number) |
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[1231] | 68 | !! |
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| 69 | !! dt = 2*rdtra and the scalar values are tb and sb |
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| 70 | !! |
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| 71 | !! On the vertical, the simple centered scheme used tn and sn |
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| 72 | !! |
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[1559] | 73 | !! The fluxes are bounded by the ULTIMATE limiter to |
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| 74 | !! guarantee the monotonicity of the solution and to |
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[1231] | 75 | !! prevent the appearance of spurious numerical oscillations |
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| 76 | !! |
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| 77 | !! ** Action : - update (ta,sa) with the now advective tracer trends |
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| 78 | !! - save the trends ('key_trdtra') |
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| 79 | !! |
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| 80 | !! ** Reference : Leonard (1979, 1991) |
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| 81 | !!---------------------------------------------------------------------- |
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| 82 | USE oce, ONLY : ztrdt => ua ! use ua as workspace |
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| 83 | USE oce, ONLY : ztrds => va ! use va as workspace |
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[1559] | 84 | !! |
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[1231] | 85 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 86 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun ! effective ocean velocity, u_component |
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| 87 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pvn ! effective ocean velocity, v_component |
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| 88 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pwn ! effective ocean velocity, w_component |
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| 89 | !! |
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| 90 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 91 | REAL(wp) :: z_hdivn_x, z_hdivn_y, z_hdivn ! temporary scalars |
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| 92 | REAL(wp) :: zbtr, z2 ! " " |
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| 93 | !!---------------------------------------------------------------------- |
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| 94 | |
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| 95 | IF( kt == nit000 ) THEN |
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| 96 | IF(lwp) WRITE(numout,*) |
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| 97 | IF(lwp) WRITE(numout,*) 'tra_adv_qck : 3rd order quickest advection scheme' |
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| 98 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~' |
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| 99 | IF(lwp) WRITE(numout,*) |
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| 100 | btr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) |
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[1559] | 101 | r1_6 = 1. / 6. |
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[1231] | 102 | ENDIF |
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| 103 | |
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| 104 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; z2 = 1. |
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| 105 | ELSE ; z2 = 2. |
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| 106 | ENDIF |
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| 107 | |
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| 108 | ! I. The horizontal fluxes are computed with the QUICKEST + ULTIMATE scheme |
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| 109 | !--------------------------------------------------------------------------- |
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| 110 | |
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[1559] | 111 | CALL tra_adv_qck_i( pun, tb, tn, ta, ztrdt, z2) |
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| 112 | CALL tra_adv_qck_i( pun, sb, sn, sa, ztrds, z2) |
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[1231] | 113 | |
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| 114 | IF( l_trdtra ) CALL trd_mod(ztrdt, ztrds, jptra_trd_xad, 'TRA', kt) |
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| 115 | |
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[1559] | 116 | CALL tra_adv_qck_j( kt, pvn, tb, tn, ta, ztrdt, pht_adv, z2) |
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| 117 | CALL tra_adv_qck_j( kt, pvn, sb, sn, sa, ztrds, pst_adv, z2) |
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[1231] | 118 | |
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| 119 | IF( l_trdtra ) THEN |
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| 120 | CALL trd_mod(ztrdt, ztrds, jptra_trd_yad, 'TRA', kt) |
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| 121 | ! |
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[1559] | 122 | ztrdt(:,:,:) = ta(:,:,:) ! Save the horizontal up-to-date ta/sa trends |
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[1231] | 123 | ztrds(:,:,:) = sa(:,:,:) |
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| 124 | END IF |
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| 125 | |
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| 126 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ta, clinfo1=' qck had - Ta: ', mask1=tmask, & |
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| 127 | & tab3d_2=sa, clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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| 128 | |
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| 129 | ! II. The vertical fluxes are computed with the 2nd order centered scheme |
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| 130 | !------------------------------------------------------------------------- |
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| 131 | ! |
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[1559] | 132 | CALL tra_adv_cen2_k( pwn, tn, ta ) |
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| 133 | CALL tra_adv_cen2_k( pwn, sn, sa ) |
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[1231] | 134 | ! |
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| 135 | !Save the vertical advective trends for diagnostic |
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| 136 | ! ---------------------------------------------------- |
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| 137 | IF( l_trdtra ) THEN |
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| 138 | ! Recompute the vertical advection zta & zsa trends computed |
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| 139 | ! at the step 2. above in making the difference between the new |
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| 140 | ! trends and the previous one: ta()/sa - ztrdt()/ztrds() and substract |
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| 141 | ! the term tn()/sn()*hdivn() to recover the W gradz(T/S) trends |
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| 142 | |
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| 143 | DO jk = 1, jpkm1 |
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| 144 | DO jj = 2, jpjm1 |
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| 145 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 146 | #if defined key_zco |
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| 147 | zbtr = btr2(ji,jj) |
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| 148 | z_hdivn_x = e2u(ji,jj)*pun(ji,jj,jk) - e2u(ji-1,jj)*pun(ji-1,jj,jk) |
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| 149 | z_hdivn_y = e1v(ji,jj)*pvn(ji,jj,jk) - e1v(ji,jj-1)*pvn(ji,jj-1,jk) |
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| 150 | #else |
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| 151 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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| 152 | z_hdivn_x = e2u(ji,jj)*fse3u(ji,jj,jk)*pun(ji,jj,jk) - e2u(ji-1,jj)*fse3u(ji-1,jj,jk)*pun(ji-1,jj,jk) |
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| 153 | z_hdivn_y = e1v(ji,jj)*fse3v(ji,jj,jk)*pvn(ji,jj,jk) - e1v(ji,jj-1)*fse3v(ji,jj-1,jk)*pvn(ji,jj-1,jk) |
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| 154 | #endif |
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| 155 | z_hdivn = (z_hdivn_x + z_hdivn_y) * zbtr |
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| 156 | ztrdt(ji,jj,jk) = ta(ji,jj,jk) - ztrdt(ji,jj,jk) - tn(ji,jj,jk) * z_hdivn |
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| 157 | ztrds(ji,jj,jk) = sa(ji,jj,jk) - ztrds(ji,jj,jk) - sn(ji,jj,jk) * z_hdivn |
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| 158 | END DO |
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| 159 | END DO |
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| 160 | END DO |
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| 161 | CALL trd_mod(ztrdt, ztrds, jptra_trd_zad, 'TRA', kt) |
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| 162 | ENDIF |
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| 163 | |
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| 164 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ta, clinfo1=' qck zad - Ta: ', mask1=tmask, & |
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| 165 | & tab3d_2=sa, clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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| 166 | ! |
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| 167 | END SUBROUTINE tra_adv_qck |
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| 168 | |
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| 169 | |
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[1559] | 170 | SUBROUTINE tra_adv_qck_i ( pun, tra, tran, traa, ztrdtra, z2 ) |
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[1231] | 171 | !!---------------------------------------------------------------------- |
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| 172 | !! |
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| 173 | !!---------------------------------------------------------------------- |
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| 174 | REAL, INTENT(in) :: z2 |
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| 175 | REAL(wp), INTENT(in) , DIMENSION(jpi,jpj,jpk) :: pun, tra, tran ! horizontal effective velocity |
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| 176 | REAL(wp), INTENT(out) , DIMENSION(jpi,jpj,jpk) :: ztrdtra |
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| 177 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: traa |
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| 178 | ! |
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| 179 | INTEGER :: ji, jj, jk |
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| 180 | REAL(wp) :: za, zbtr, dir, dx, dt ! temporary scalars |
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| 181 | REAL(wp) :: z_hdivn_x |
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| 182 | REAL(wp), DIMENSION(jpi,jpj) :: zmask, zupst, zdwst, zc_cfl |
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| 183 | REAL(wp), DIMENSION(jpi,jpj) :: zfu, zfc, zfd, zfho, zmskl, zsc_e |
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| 184 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zflux |
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| 185 | !---------------------------------------------------------------------- |
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| 186 | |
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| 187 | zfu (:,jpj) = 0.e0 ; zfc (:,jpj) = 0.e0 |
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| 188 | zfd (:,jpj) = 0.e0 ; zc_cfl(:,jpj) = 0.e0 |
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| 189 | zsc_e (:,jpj) = 0.e0 ; zmskl (:,jpj) = 0.e0 |
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| 190 | zfho (:,jpj) = 0.e0 |
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| 191 | ! =============== |
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| 192 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 193 | ! ! =============== |
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| 194 | !--- Computation of the ustream and downstream value of the tracer and the mask |
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| 195 | DO jj = 2, jpjm1 |
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| 196 | DO ji = 2, fs_jpim1 ! vector opt. |
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| 197 | ! Upstream in the x-direction for the tracer |
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| 198 | zupst(ji,jj)=tra(ji-1,jj,jk) |
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| 199 | ! Downstream in the x-direction for the tracer |
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| 200 | zdwst(ji,jj)=tra(ji+1,jj,jk) |
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| 201 | ! Mask at the T-points in the x-direction (mask=0 or mask=1) |
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| 202 | zmask(ji,jj)=tmask(ji-1,jj,jk)+tmask(ji,jj,jk)+tmask(ji+1,jj,jk)-2 |
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[1559] | 203 | END DO |
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| 204 | END DO |
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[1231] | 205 | ! |
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| 206 | !--- Lateral boundary conditions |
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| 207 | CALL lbc_lnk( zupst(:,:), 'T', 1. ) |
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| 208 | CALL lbc_lnk( zdwst(:,:), 'T', 1. ) |
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| 209 | CALL lbc_lnk( zmask(:,:), 'T', 1. ) |
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| 210 | ! |
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| 211 | ! Horizontal advective fluxes |
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| 212 | ! --------------------------- |
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| 213 | ! |
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| 214 | dt = z2 * rdttra(jk) |
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| 215 | !--- tracer flux at u-points |
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| 216 | DO jj = 1, jpjm1 |
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| 217 | DO ji = 1, jpi |
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| 218 | #if defined key_zco |
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| 219 | zsc_e(ji,jj) = e2u(ji,jj) |
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| 220 | #else |
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| 221 | zsc_e(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) |
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| 222 | #endif |
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| 223 | dir = 0.5 + sign(0.5,pun(ji,jj,jk)) ! if pun>0 : dir = 1 otherwise dir = 0 |
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| 224 | dx = dir * e1t(ji,jj) + (1-dir)* e1t(ji+1,jj) |
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| 225 | zc_cfl (ji,jj) = ABS(pun(ji,jj,jk))*dt/dx ! (0<zc_cfl<1 : Courant number on x-direction) |
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| 226 | |
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| 227 | zfu(ji,jj) = dir*zupst(ji ,jj )+(1-dir)*zdwst(ji+1,jj ) ! FU in the x-direction for T |
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| 228 | zfc(ji,jj) = dir*tra (ji ,jj,jk)+(1-dir)*tra (ji+1,jj,jk) ! FC in the x-direction for T |
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| 229 | zfd(ji,jj) = dir*tra (ji+1,jj,jk)+(1-dir)*tra (ji ,jj,jk) ! FD in the x-direction for T |
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| 230 | zmskl(ji,jj) = dir*zmask(ji ,jj) +(1-dir)*zmask(ji+1,jj) |
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[1559] | 231 | END DO |
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| 232 | END DO |
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[1231] | 233 | ! |
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| 234 | !--- QUICKEST scheme |
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| 235 | ! Tracer flux on the x-direction |
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| 236 | CALL quickest(zfu,zfd,zfc,zfho,zc_cfl) |
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| 237 | !--- If the second ustream point is a land point |
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| 238 | !--- the flux is computed by the 1st order UPWIND scheme |
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| 239 | zfho(:,:) = zmskl(:,:)*zfho(:,:) + (1.-zmskl(:,:))*zfc(:,:) |
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| 240 | !--- Computation of fluxes |
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| 241 | zflux(:,:,jk) = zsc_e(:,:)*pun(:,:,jk)*zfho(:,:) |
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| 242 | ! |
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| 243 | !--- Tracer flux divergence at t-point added to the general trend |
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| 244 | DO jj = 2, jpjm1 |
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| 245 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 246 | !--- horizontal advective trends |
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| 247 | #if defined key_zco |
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| 248 | zbtr = btr2(ji,jj) |
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| 249 | #else |
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| 250 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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| 251 | #endif |
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| 252 | za = - zbtr * ( zflux(ji,jj,jk) - zflux(ji-1,jj,jk) ) |
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| 253 | !--- add it to the general tracer trends |
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| 254 | traa(ji,jj,jk) = traa(ji,jj,jk) + za |
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| 255 | END DO |
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| 256 | END DO |
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| 257 | ! ! =============== |
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| 258 | END DO ! End of slab |
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| 259 | ! ! =============== |
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| 260 | ! |
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| 261 | ! Save the horizontal advective trends for diagnostic |
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| 262 | ! ----------------------------------------------------- |
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| 263 | IF( l_trdtra ) THEN |
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| 264 | ! T/S ZONAL advection trends |
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| 265 | ztrdtra(:,:,:) = 0.e0 |
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| 266 | ! |
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| 267 | DO jk = 1, jpkm1 |
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| 268 | DO jj = 2, jpjm1 |
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| 269 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 270 | !-- Compute zonal divergence by splitting hdivn (see divcur.F90) |
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| 271 | ! N.B. This computation is not valid along OBCs (if any) |
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| 272 | #if defined key_zco |
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| 273 | zbtr = btr2(ji,jj) |
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| 274 | z_hdivn_x = ( e2u(ji ,jj) * pun(ji ,jj,jk) & |
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| 275 | & - e2u(ji-1,jj) * pun(ji-1,jj,jk) ) * zbtr |
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| 276 | #else |
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| 277 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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| 278 | z_hdivn_x = ( e2u(ji ,jj) * fse3u(ji ,jj,jk) * pun(ji ,jj,jk) & |
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| 279 | & - e2u(ji-1,jj) * fse3u(ji-1,jj,jk) * pun(ji-1,jj,jk) ) * zbtr |
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| 280 | #endif |
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| 281 | ztrdtra(ji,jj,jk) = - zbtr * ( zflux(ji,jj,jk) - zflux(ji-1,jj,jk) ) + tran(ji,jj,jk) * z_hdivn_x |
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| 282 | END DO |
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| 283 | END DO |
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| 284 | END DO |
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| 285 | END IF |
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| 286 | |
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[1559] | 287 | END SUBROUTINE tra_adv_qck_i |
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[1231] | 288 | |
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| 289 | |
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[1559] | 290 | SUBROUTINE tra_adv_qck_j ( kt, pvn, tra, tran, traa, ztrdtra, trd_adv, z2 ) |
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[1231] | 291 | !!---------------------------------------------------------------------- |
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| 292 | !! |
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| 293 | !!---------------------------------------------------------------------- |
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| 294 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 295 | REAL, INTENT(in) :: z2 |
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| 296 | REAL(wp), INTENT(in) , DIMENSION(jpi,jpj,jpk) :: pvn, tra, tran ! horizontal effective velocity |
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| 297 | REAL(wp), INTENT(out) , DIMENSION(jpj) :: trd_adv |
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| 298 | REAL(wp), INTENT(out) , DIMENSION(jpi,jpj,jpk) :: ztrdtra |
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| 299 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: traa |
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[1559] | 300 | !! |
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[1231] | 301 | INTEGER :: ji, jj, jk |
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| 302 | REAL(wp) :: za, zbtr, dir, dx, dt ! temporary scalars |
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| 303 | REAL(wp) :: z_hdivn_y |
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| 304 | REAL(wp), DIMENSION(jpi,jpj) :: zmask, zupst, zdwst, zc_cfl |
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| 305 | REAL(wp), DIMENSION(jpi,jpj) :: zfu, zfc, zfd, zfho, zmskl, zsc_e |
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| 306 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zflux |
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| 307 | !---------------------------------------------------------------------- |
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| 308 | ! II. Part 2 : y-direction |
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| 309 | !---------------------------------------------------------------------- |
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| 310 | |
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| 311 | zfu (:,jpj) = 0.e0 ; zfc (:,jpj) = 0.e0 |
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| 312 | zfd (:,jpj) = 0.e0 ; zc_cfl(:,jpj) = 0.e0 |
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| 313 | zsc_e (:,jpj) = 0.e0 ; zmskl (:,jpj) = 0.e0 |
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| 314 | zfho (:,jpj) = 0.e0 |
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| 315 | |
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| 316 | ! =============== |
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| 317 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 318 | ! ! =============== |
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| 319 | !--- Computation of the ustream and downstream value of the tracer and the mask |
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| 320 | DO jj = 2, jpjm1 |
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| 321 | DO ji = 2, fs_jpim1 ! vector opt. |
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| 322 | ! Upstream in the x-direction for the tracer |
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| 323 | zupst(ji,jj)=tra(ji,jj-1,jk) |
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| 324 | ! Downstream in the x-direction for the tracer |
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| 325 | zdwst(ji,jj)=tra(ji,jj+1,jk) |
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| 326 | ! Mask at the T-points in the x-direction (mask=0 or mask=1) |
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| 327 | zmask(ji,jj)=tmask(ji,jj-1,jk)+tmask(ji,jj,jk)+tmask(ji,jj+1,jk)-2 |
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[1559] | 328 | END DO |
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| 329 | END DO |
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[1231] | 330 | ! |
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| 331 | !--- Lateral boundary conditions |
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| 332 | CALL lbc_lnk( zupst(:,:), 'T', 1. ) |
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| 333 | CALL lbc_lnk( zdwst(:,:), 'T', 1. ) |
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| 334 | CALL lbc_lnk( zmask(:,:), 'T', 1. ) |
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| 335 | ! |
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| 336 | ! Horizontal advective fluxes |
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| 337 | ! --------------------------- |
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| 338 | ! |
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| 339 | dt = z2 * rdttra(jk) |
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| 340 | !--- tracer flux at v-points |
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| 341 | DO jj = 1, jpjm1 |
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| 342 | DO ji = 1, jpi |
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| 343 | #if defined key_zco |
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| 344 | zsc_e(ji,jj) = e1v(ji,jj) |
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| 345 | #else |
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| 346 | zsc_e(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) |
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| 347 | #endif |
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| 348 | dir = 0.5 + sign(0.5,pvn(ji,jj,jk)) ! if pvn>0 : dir = 1 otherwise dir = 0 |
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| 349 | dx = dir * e2t(ji,jj) + (1-dir)* e2t(ji,jj+1) |
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| 350 | zc_cfl(ji,jj) = ABS(pvn(ji,jj,jk))*dt/dx ! (0<zc_cfl<1 : Courant number on y-direction) |
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| 351 | |
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| 352 | zfu(ji,jj) = dir*zupst(ji,jj )+(1-dir)*zdwst(ji,jj+1 ) ! FU in the y-direction for T |
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| 353 | zfc(ji,jj) = dir*tra (ji,jj ,jk)+(1-dir)*tra (ji,jj+1,jk) ! FC in the y-direction for T |
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| 354 | zfd(ji,jj) = dir*tra (ji,jj+1,jk)+(1-dir)*tra (ji,jj ,jk) ! FD in the y-direction for T |
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| 355 | zmskl(ji,jj) = dir*zmask(ji,jj )+(1-dir)*zmask(ji,jj+1) |
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[1559] | 356 | END DO |
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| 357 | END DO |
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[1231] | 358 | ! |
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| 359 | !--- QUICKEST scheme |
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| 360 | ! Tracer flux on the y-direction |
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| 361 | CALL quickest(zfu,zfd,zfc,zfho,zc_cfl) |
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| 362 | !--- If the second ustream point is a land point |
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| 363 | !--- the flux is computed by the 1st order UPWIND scheme |
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| 364 | zfho(:,:) = zmskl(:,:)*zfho(:,:) + (1.-zmskl(:,:))*zfc(:,:) |
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| 365 | !--- Computation of fluxes |
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| 366 | zflux(:,:,jk) = zsc_e(:,:)*pvn(:,:,jk)*zfho(:,:) |
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| 367 | ! |
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| 368 | !--- Tracer flux divergence at t-point added to the general trend |
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| 369 | DO jj = 2, jpjm1 |
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| 370 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 371 | !--- horizontal advective trends |
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| 372 | #if defined key_zco |
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| 373 | zbtr = btr2(ji,jj) |
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| 374 | #else |
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| 375 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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| 376 | #endif |
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| 377 | za = - zbtr * ( zflux(ji,jj,jk) - zflux(ji,jj-1,jk) ) |
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| 378 | !--- add it to the general tracer trends |
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| 379 | traa(ji,jj,jk) = traa(ji,jj,jk) + za |
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| 380 | END DO |
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| 381 | END DO |
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| 382 | ! ! =============== |
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| 383 | END DO ! End of slab |
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| 384 | ! ! =============== |
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| 385 | ! |
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| 386 | ! Save the horizontal advective trends for diagnostic |
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| 387 | ! ----------------------------------------------------- |
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| 388 | IF( l_trdtra ) THEN |
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| 389 | ! T/S MERIDIONAL advection trends |
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| 390 | DO jk = 1, jpkm1 |
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| 391 | DO jj = 2, jpjm1 |
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| 392 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 393 | !-- Compute merid. divergence by splitting hdivn (see divcur.F90) |
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| 394 | ! N.B. This computation is not valid along OBCs (if any) |
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| 395 | #if defined key_zco |
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| 396 | zbtr = btr2(ji,jj) |
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| 397 | z_hdivn_y = ( e1v(ji,jj ) * pvn(ji,jj ,jk) & |
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| 398 | & - e1v(ji,jj-1) * pvn(ji,jj-1,jk) ) * zbtr |
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| 399 | #else |
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| 400 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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| 401 | z_hdivn_y = ( e1v(ji, jj) * fse3v(ji,jj ,jk) * pvn(ji,jj ,jk) & |
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| 402 | & - e1v(ji,jj-1) * fse3v(ji,jj-1,jk) * pvn(ji,jj-1,jk) ) * zbtr |
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| 403 | #endif |
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| 404 | ztrdtra(ji,jj,jk) = - zbtr * ( zflux(ji,jj,jk) - zflux(ji,jj-1,jk) ) + tran(ji,jj,jk) * z_hdivn_y |
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| 405 | END DO |
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| 406 | END DO |
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| 407 | END DO |
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| 408 | END IF |
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| 409 | |
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| 410 | ! "zonal" mean advective heat and salt transport |
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| 411 | ! ---------------------------------------------- |
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| 412 | |
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| 413 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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| 414 | IF( lk_zco ) THEN |
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| 415 | DO jk = 1, jpkm1 |
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| 416 | DO jj = 2, jpjm1 |
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| 417 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 418 | zflux(ji,jj,jk) = zflux(ji,jj,jk) * fse3v(ji,jj,jk) |
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| 419 | END DO |
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| 420 | END DO |
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| 421 | END DO |
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| 422 | ENDIF |
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| 423 | trd_adv(:) = ptr_vj( zflux(:,:,:) ) |
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| 424 | ENDIF |
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| 425 | |
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[1559] | 426 | END SUBROUTINE tra_adv_qck_j |
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[1231] | 427 | |
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| 428 | |
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[1559] | 429 | SUBROUTINE tra_adv_cen2_k ( pwn, ptn, pta ) |
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[1231] | 430 | !!---------------------------------------------------------------------- |
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| 431 | !! |
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| 432 | !!---------------------------------------------------------------------- |
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[1559] | 433 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj,jpk) :: pwn ! vertical effective velocity |
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| 434 | REAL(wp), INTENT(in ), DIMENSION(jpi,jpj,jpk) :: ptn ! now tracer |
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| 435 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pta ! tracer general trend |
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| 436 | !! |
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| 437 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 438 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zflux ! 3D workspace |
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| 439 | !!---------------------------------------------------------------------- |
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[1231] | 440 | ! |
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[1559] | 441 | ! !== Vertical advective fluxes ==! |
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| 442 | zflux(:,:,jpk) = 0.e0 ! Bottom value : flux set to zero |
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[1231] | 443 | ! |
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[1559] | 444 | ! ! Surface value |
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| 445 | IF( lk_vvl ) THEN ; zflux(:,:, 1 ) = 0.e0 ! Variable volume : flux set to zero |
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| 446 | ELSE ; zflux(:,:, 1 ) = pwn(:,:,1) * ptn(:,:,1) ! Constant volume : advective flux through the surface |
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[1231] | 447 | ENDIF |
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| 448 | ! |
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[1559] | 449 | DO jk = 2, jpkm1 ! Interior point: second order centered tracer flux at w-point |
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[1231] | 450 | DO jj = 2, jpjm1 |
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| 451 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1559] | 452 | zflux(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk-1) + ptn(ji,jj,jk) ) |
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[1231] | 453 | END DO |
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| 454 | END DO |
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| 455 | END DO |
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| 456 | ! |
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[1559] | 457 | DO jk = 1, jpkm1 !== Tracer flux divergence added to the general trend ==! |
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[1231] | 458 | DO jj = 2, jpjm1 |
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| 459 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[1559] | 460 | pta(ji,jj,jk) = pta(ji,jj,jk) - ( zflux(ji,jj,jk) - zflux(ji,jj,jk+1) ) & |
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| 461 | & / fse3t(ji,jj,jk) |
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[1231] | 462 | END DO |
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| 463 | END DO |
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| 464 | END DO |
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| 465 | ! |
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[1559] | 466 | END SUBROUTINE tra_adv_cen2_k |
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[1231] | 467 | |
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| 468 | |
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[1559] | 469 | SUBROUTINE quickest( fu, fd, fc, fho, fc_cfl ) |
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[1231] | 470 | !!---------------------------------------------------------------------- |
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| 471 | !! |
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| 472 | !!---------------------------------------------------------------------- |
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| 473 | REAL(wp), INTENT(in) , DIMENSION(jpi,jpj) :: fu, fd, fc, fc_cfl |
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| 474 | REAL(wp), INTENT(out) , DIMENSION(jpi,jpj) :: fho |
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| 475 | REAL(wp) , DIMENSION(jpi,jpj) :: zcurv, zcoef1, zcoef2, zcoef3 ! temporary scalars |
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| 476 | ! |
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| 477 | zcurv (:,:) = fd(:,:) + fu(:,:) - 2.*fc(:,:) |
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| 478 | zcoef1(:,:) = 0.5*( fc(:,:) + fd(:,:) ) |
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| 479 | zcoef2(:,:) = 0.5*fc_cfl(:,:)*( fd(:,:) - fc(:,:) ) |
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[1559] | 480 | zcoef3(:,:) = ( ( 1. - ( fc_cfl(:,:)*fc_cfl(:,:) ) )*r1_6 )*zcurv(:,:) |
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[1231] | 481 | fho (:,:) = zcoef1(:,:) - zcoef2(:,:) - zcoef3(:,:) ! phi_f QUICKEST |
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| 482 | ! |
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| 483 | zcoef1(:,:) = fd(:,:) - fu(:,:) ! DEL |
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| 484 | zcoef2(:,:) = ABS( zcoef1(:,:) ) ! ABS(DEL) |
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| 485 | zcoef3(:,:) = ABS( zcurv(:,:) ) ! ABS(CURV) |
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| 486 | ! |
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| 487 | WHERE ( zcoef3(:,:) >= zcoef2(:,:) ) |
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| 488 | fho(:,:) = fc(:,:) |
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| 489 | ELSEWHERE |
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| 490 | zcoef3(:,:) = fu(:,:) + ( ( fc(:,:) - fu(:,:) )/MAX(fc_cfl(:,:),1.e-9) ) ! phi_REF |
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| 491 | WHERE ( zcoef1(:,:) >= 0.e0 ) |
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| 492 | fho(:,:) = MAX(fc(:,:),fho(:,:)) |
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| 493 | fho(:,:) = MIN(fho(:,:),MIN(zcoef3(:,:),fd(:,:))) |
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| 494 | ELSEWHERE |
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| 495 | fho(:,:) = MIN(fc(:,:),fho(:,:)) |
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| 496 | fho(:,:) = MAX(fho(:,:),MAX(zcoef3(:,:),fd(:,:))) |
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| 497 | ENDWHERE |
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| 498 | ENDWHERE |
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| 499 | ! |
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| 500 | END SUBROUTINE quickest |
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| 501 | |
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| 502 | !!====================================================================== |
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| 503 | END MODULE traadv_qck |
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