[637] | 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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| 6 | |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! tra_adv_qck : update the tracer trend with the horizontal |
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| 9 | !! advection trends using a 3st order |
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| 10 | !! finite difference scheme |
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| 11 | !! The vertical advection scheme is the 2nd centered scheme |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | !! * Modules used |
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| 14 | USE oce ! ocean dynamics and active tracers |
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| 15 | USE dom_oce ! ocean space and time domain |
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[719] | 16 | USE trdmod ! ocean active tracers trends |
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[708] | 17 | USE trdmod_oce ! ocean variables trends |
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[719] | 18 | USE flxrnf ! |
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[637] | 19 | USE trabbl ! advective term in the BBL |
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[719] | 20 | USE ocfzpt ! |
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[637] | 21 | USE lib_mpp |
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| 22 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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| 23 | USE in_out_manager ! I/O manager |
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| 24 | USE diaptr ! poleward transport diagnostics |
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[719] | 25 | USE dynspg_oce ! |
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[637] | 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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| 31 | !! * Accessibility |
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| 32 | PUBLIC tra_adv_qck ! routine called by step.F90 |
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| 33 | |
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| 34 | !! * Module variables |
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| 35 | REAL(wp), DIMENSION(jpi,jpj), SAVE :: & |
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| 36 | zbtr2 |
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| 37 | REAL(wp), DIMENSION(jpi,jpj,jpk), SAVE :: & |
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| 38 | sl |
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| 39 | REAL(wp) :: & |
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| 40 | cst1, cst2, dt, coef1 ! temporary scalars |
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| 41 | INTEGER :: & |
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| 42 | ji, jj, jk ! dummy loop indices |
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| 43 | !!---------------------------------------------------------------------- |
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| 44 | !! * Substitutions |
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| 45 | # include "domzgr_substitute.h90" |
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| 46 | # include "vectopt_loop_substitute.h90" |
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| 47 | !!---------------------------------------------------------------------- |
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| 48 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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[719] | 49 | !! $Header$ |
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[637] | 50 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 51 | !!---------------------------------------------------------------------- |
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| 52 | |
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| 53 | CONTAINS |
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| 54 | |
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| 55 | SUBROUTINE tra_adv_qck( kt, pun, pvn, pwn ) |
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| 56 | !!---------------------------------------------------------------------- |
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| 57 | !! *** ROUTINE tra_adv_qck *** |
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| 58 | !! |
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| 59 | !! ** Purpose : Compute the now trend due to the advection of tracers |
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| 60 | !! and add it to the general trend of passive tracer equations. |
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| 61 | !! |
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| 62 | !! ** Method : The advection is evaluated by a third order scheme |
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| 63 | !! For a positive velocity u : |
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| 64 | !! |
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| 65 | !! |
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| 66 | !! i-1 i i+1 i+2 |
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| 67 | !! |
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| 68 | !! |--FU--|--FC--|--FD--|------| |
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| 69 | !! u(i)>0 |
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| 70 | !! |
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| 71 | !! For a negative velocity u : |
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| 72 | !! |
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| 73 | !! |------|--FD--|--FC--|--FU--| |
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| 74 | !! u(i)<0 |
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| 75 | !! |
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| 76 | !! FU is the second upwind point |
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| 77 | !! FD is the first douwning point |
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| 78 | !! FC is the central point (or the first upwind point) |
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| 79 | !! |
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| 80 | !! Flux(i) = u(i) * {0.5(FC+FD) -0.5C(i)(FD-FC) -((1-C(i)å?)/6)(FU+FD-2FC)} |
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| 81 | !! with C(i)=|u(i)|dx(i)/dt (Courant number) |
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| 82 | !! |
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| 83 | !! dt = 2*rdtra and the scalar values are tb and sb |
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| 84 | !! |
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| 85 | !! On the vertical, the simple centered scheme used tn and sn |
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| 86 | !! |
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| 87 | !! The fluxes are bounded by the ULTIMATE limiter |
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| 88 | !! to guarantee the monotonicity of the solution and to |
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| 89 | !! prevent the appearance of spurious numerical oscillations |
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| 90 | !! |
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| 91 | !! ** Action : - update (ta,sa) with the now advective tracer trends |
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| 92 | !! - save the trends in (ttrdh,strdh) ('key_trdtra') |
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| 93 | !! |
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| 94 | !! ** Reference : Leonard (1979, 1991) |
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| 95 | !! History : |
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| 96 | !! 9.0 ! 06-09 (G. Reffray) Original code |
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| 97 | !!---------------------------------------------------------------------- |
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| 98 | !! * Arguments |
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| 99 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 100 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun ! effective ocean velocity, u_component |
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| 101 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pvn ! effective ocean velocity, v_component |
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| 102 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pwn ! effective ocean velocity, w_component |
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| 103 | !! |
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| 104 | REAL(wp) :: z2 ! temporary scalar |
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| 105 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: ztrdt, ztrds ! temporary 3D workspace |
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| 106 | |
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| 107 | IF( kt == nit000 ) THEN |
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| 108 | IF(lwp) WRITE(numout,*) |
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| 109 | IF(lwp) WRITE(numout,*) 'tra_adv_qck : 3st order quickest advection scheme' |
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| 110 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ Vector optimization case' |
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| 111 | IF(lwp) WRITE(numout,*) |
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| 112 | |
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| 113 | zbtr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) |
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| 114 | cst1 = 1./12. |
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| 115 | cst2 = 2./3. |
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| 116 | IF (l_trdtra ) THEN |
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| 117 | CALL ctl_warn( ' Trends not yet implemented for PPM advection scheme ' ) |
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| 118 | ENDIF |
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| 119 | ENDIF |
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| 120 | |
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| 121 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; z2 = 1. |
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| 122 | ELSE ; z2 = 2. |
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| 123 | ENDIF |
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| 124 | |
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| 125 | ! Save ta and sa trends |
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| 126 | IF( l_trdtra ) THEN ! to be done |
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| 127 | ztrdt(:,:,:) = ta(:,:,:) |
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| 128 | ztrds(:,:,:) = sa(:,:,:) |
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| 129 | l_adv = 'qst' |
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| 130 | ENDIF |
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| 131 | |
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| 132 | ! I. Slope estimation at the T-point for the limiter ULTIMATE |
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| 133 | ! SL = Sum(1/C_out) with C_out : Courant number for the outflows |
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| 134 | !--------------------------------------------------------------- |
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| 135 | |
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| 136 | sl(:,:,:) = 100. |
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| 137 | |
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| 138 | ! =============== |
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| 139 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 140 | ! ! =============== |
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| 141 | dt = z2 * rdttra(jk) |
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| 142 | DO jj = 2, jpjm1 |
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| 143 | DO ji = 2, fs_jpim1 ! vector opt. |
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| 144 | coef1 = 1.e-12 |
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| 145 | IF (pun(ji-1,jj ,jk ).LT.0.) coef1 = coef1 + ABS(pun(ji-1,jj ,jk ))*dt/e1t(ji,jj) |
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| 146 | IF (pun(ji ,jj ,jk ).GT.0.) coef1 = coef1 + ABS(pun(ji ,jj ,jk ))*dt/e1t(ji,jj) |
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| 147 | IF (pvn(ji ,jj-1,jk ).LT.0.) coef1 = coef1 + ABS(pvn(ji ,jj-1,jk ))*dt/e2t(ji,jj) |
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| 148 | IF (pvn(ji ,jj ,jk ).GT.0.) coef1 = coef1 + ABS(pvn(ji ,jj ,jk ))*dt/e2t(ji,jj) |
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| 149 | IF (pwn(ji ,jj ,jk+1).LT.0.) coef1 = coef1 + ABS(pwn(ji ,jj ,jk+1))*dt/(fse3t(ji,jj,jk)) |
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| 150 | IF (pwn(ji ,jj ,jk ).GT.0.) coef1 = coef1 + ABS(pwn(ji ,jj ,jk ))*dt/(fse3t(ji,jj,jk)) |
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| 151 | sl(ji,jj,jk) = 1./coef1 |
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| 152 | sl(ji,jj,jk) = MIN(100.,sl(ji,jj,jk)) |
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| 153 | sl(ji,jj,jk) = MAX(1. ,sl(ji,jj,jk)) |
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| 154 | ENDDO |
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| 155 | ENDDO |
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| 156 | ENDDO |
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| 157 | !--- Lateral boundary conditions on the limiter slope |
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| 158 | CALL lbc_lnk( sl(:,:,:), 'T', 1. ) |
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| 159 | |
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| 160 | ! II. The horizontal fluxes are computed with the QUICKEST + ULTIMATE scheme |
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| 161 | !--------------------------------------------------------------------------- |
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| 162 | |
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| 163 | CALL tra_adv_qck_hor( kt , pun, pvn, tb , ta , pht_adv , z2) |
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| 164 | CALL tra_adv_qck_hor( kt , pun, pvn, sb , sa , pst_adv , z2) |
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| 165 | |
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| 166 | ! Save the horizontal advective trends for diagnostic |
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| 167 | ! --------------------------------------------------- |
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| 168 | ! IF( l_trdtra ) THEN ! to be done |
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| 169 | ! ! T/S ZONAL advection trends |
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| 170 | ! ENDIF |
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| 171 | |
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| 172 | IF(ln_ctl) THEN |
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| 173 | CALL prt_ctl(tab3d_1=ta, clinfo1=' centered2 had - Ta: ', mask1=tmask, & |
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| 174 | & tab3d_2=sa, clinfo2=' Sa: ', mask2=tmask, clinfo3='tra') |
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| 175 | ENDIF |
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| 176 | |
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| 177 | ! III. The vertical fluxes are computed with the 2nd order centered scheme |
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| 178 | !------------------------------------------------------------------------- |
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| 179 | |
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| 180 | CALL tra_adv_qck_ver( pwn, tn , ta, z2 ) |
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| 181 | CALL tra_adv_qck_ver( pwn, sn , sa, z2 ) |
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| 182 | |
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| 183 | ! Save the vertical advective trends for diagnostic |
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| 184 | ! ------------------------------------------------- |
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| 185 | ! IF( l_trdtra ) THEN ! to be done |
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| 186 | ! Recompute the vertical advection zta & zsa trends computed |
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| 187 | ! at the step 2. above in making the difference between the new |
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| 188 | ! trends and the previous one: ta()/sa - ztdta()/ztdsa() and substract |
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| 189 | ! the term tn()/sn()*hdivn() to recover the W gradz(T/S) trends |
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| 190 | ! ENDIF |
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| 191 | |
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| 192 | IF(ln_ctl) THEN |
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| 193 | CALL prt_ctl(tab3d_1=ta, clinfo1=' centered2 zad - Ta: ', mask1=tmask, & |
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| 194 | & tab3d_2=sa, clinfo2=' Sa: ', mask2=tmask, clinfo3='tra') |
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| 195 | ENDIF |
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| 196 | |
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| 197 | END SUBROUTINE tra_adv_qck |
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| 198 | |
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| 199 | SUBROUTINE tra_adv_qck_hor ( kt , pun, pvn, tra , traa , phtra_adv ,z2 ) |
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| 200 | !!---------------------------------------------------------------------- |
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| 201 | !! |
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| 202 | !!---------------------------------------------------------------------- |
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| 203 | !! * Arguments |
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| 204 | INTEGER, INTENT( in ) :: kt ! ocean time-step index |
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| 205 | REAL, INTENT( in ) :: z2 |
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| 206 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun, pvn ! horizontal effective velocity |
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| 207 | |
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| 208 | REAL(wp), INTENT ( out ), DIMENSION(jpj) :: & |
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| 209 | phtra_adv |
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| 210 | |
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| 211 | REAL(wp), INTENT ( inout ), DIMENSION(jpi,jpj,jpk) :: & |
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| 212 | tra, traa |
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| 213 | |
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| 214 | REAL(wp) :: & |
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| 215 | za, zbtr, e1, e2, c, dir, fu, fc, fd, & ! temporary scalars |
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| 216 | coef2, coef3, fho, mask, dx |
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| 217 | |
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| 218 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 219 | zee |
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| 220 | |
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| 221 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: & |
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| 222 | zmask, zlap, dwst, lim |
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| 223 | |
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| 224 | |
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| 225 | |
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| 226 | !---------------------------------------------------------------------- |
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| 227 | ! 0. Initialization (should ot be needed on the whole array ???) |
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| 228 | !---------------------------------------------------------------------- |
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| 229 | |
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| 230 | zmask = 0.0 |
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| 231 | zlap = 0.0 |
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| 232 | dwst = 0.0 |
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| 233 | lim = 0.0 |
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| 234 | |
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| 235 | !---------------------------------------------------------------------- |
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| 236 | ! I. Part 1 : x-direction |
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| 237 | !---------------------------------------------------------------------- |
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| 238 | |
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| 239 | ! =============== |
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| 240 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 241 | ! ! =============== |
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| 242 | ! Initialization of metric arrays (for z- or s-coordinates) |
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| 243 | ! --------------------------------------------------------- |
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| 244 | DO jj = 1, jpjm1 |
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| 245 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 246 | #if defined key_zco |
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| 247 | ! z-coordinates, no vertical scale factors |
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| 248 | zee(ji,jj) = e2u(ji,jj) / e1u(ji,jj) * umask(ji,jj,jk) |
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| 249 | #else |
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| 250 | ! vertical scale factor are used |
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| 251 | zee(ji,jj) = e2u(ji,jj) * fse3u(ji,jj,jk) / e1u(ji,jj) * umask(ji,jj,jk) |
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| 252 | #endif |
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| 253 | END DO |
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| 254 | END DO |
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| 255 | |
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| 256 | ! Laplacian of tracers (at before time step) |
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| 257 | ! ------------------------------------------ |
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| 258 | !--- First derivative (gradient) |
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| 259 | DO jj = 1, jpjm1 |
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| 260 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 261 | zmask(ji,jj,jk) = zee(ji,jj) * ( tra(ji+1,jj ,jk) - tra(ji,jj,jk) ) |
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| 262 | END DO |
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| 263 | END DO |
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| 264 | DO jj = 2, jpjm1 |
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| 265 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 266 | #if defined key_zco |
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| 267 | zee(ji,jj) = e1t(ji,jj) / e2t(ji,jj) |
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| 268 | #else |
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| 269 | zee(ji,jj) = e1t(ji,jj) / (e2t(ji,jj) * fse3t(ji,jj,jk)) |
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| 270 | #endif |
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| 271 | zlap(ji,jj,jk) = zee(ji,jj) * ( zmask(ji,jj,jk) - zmask(ji-1,jj,jk) ) |
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| 272 | END DO |
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| 273 | END DO |
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| 274 | !--- Function lim=FU+SL*(FC-FU) used by the limiter |
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| 275 | !--- Computation of the ustream and downstream lim at the T-points |
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| 276 | DO jj = 2, jpjm1 |
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| 277 | DO ji = 2, fs_jpim1 ! vector opt. |
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| 278 | ! Upstream in the x-direction for the tracer |
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| 279 | zmask(ji,jj,jk)=tra(ji-1,jj,jk)+sl(ji,jj,jk)*(tra(ji,jj,jk)-tra(ji-1,jj,jk)) |
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| 280 | ! Downstream in the x-direction for the tracer |
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| 281 | dwst (ji,jj,jk)=tra(ji+1,jj,jk)+sl(ji,jj,jk)*(tra(ji,jj,jk)-tra(ji+1,jj,jk)) |
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| 282 | ENDDO |
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| 283 | ENDDO |
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| 284 | END DO |
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| 285 | !--- Lateral boundary conditions on the laplacian (unchanged sgn) |
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| 286 | CALL lbc_lnk( zlap(:,:,:), 'T', 1. ) |
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| 287 | !--- Lateral boundary conditions for the lim function |
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| 288 | CALL lbc_lnk( zmask(:,:,:), 'T', 1. ) ; CALL lbc_lnk( dwst(:,:,:), 'T', 1. ) |
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| 289 | ! =============== |
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| 290 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 291 | ! ! =============== |
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| 292 | ! --- lim at the U-points in function of the direction of the flow |
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| 293 | ! ---------------------------------------------------------------- |
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| 294 | DO jj = 1, jpjm1 |
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| 295 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 296 | dir = 0.5 + sign(0.5,pun(ji,jj,jk)) ! if pun>0 : diru = 1 otherwise diru = 0 |
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| 297 | lim(ji,jj,jk)=dir*zmask(ji,jj,jk)+(1-dir)*dwst(ji+1,jj,jk) |
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| 298 | ! Mask at the T-points in the x-direction (mask=0 or mask=1) |
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| 299 | zmask(ji,jj,jk)=tmask(ji-1,jj,jk)+tmask(ji,jj,jk)+tmask(ji+1,jj,jk)-2 |
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| 300 | END DO |
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| 301 | END DO |
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| 302 | END DO |
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| 303 | !--- Lateral boundary conditions for the mask |
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| 304 | CALL lbc_lnk( zmask(:,:,:), 'T', 1. ) |
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| 305 | |
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| 306 | ! Horizontal advective fluxes |
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| 307 | ! --------------------------- |
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| 308 | ! =============== |
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| 309 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 310 | ! =============== |
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| 311 | dt = z2 * rdttra(jk) |
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| 312 | !--- tracer flux at u and v-points |
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| 313 | DO jj = 1, jpjm1 |
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| 314 | DO ji = 1, fs_jpim1 ! vector opt. |
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[647] | 315 | #if defined key_zco |
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[637] | 316 | e2 = e2u(ji,jj) |
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| 317 | #else |
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| 318 | e2 = e2u(ji,jj) * fse3u(ji,jj,jk) |
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| 319 | #endif |
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| 320 | dir = 0.5 + sign(0.5,pun(ji,jj,jk)) ! if pun>0 : diru = 1 otherwise diru = 0 |
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| 321 | |
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| 322 | dx = dir * e1t(ji,jj) + (1-dir)* e1t(ji+1,jj) |
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| 323 | c = ABS(pun(ji,jj,jk))*dt/dx ! (0<cx<1 : Courant number on x-direction) |
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| 324 | |
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| 325 | fu = lim(ji,jj,jk) ! FU + sl(FC-FU) in the x-direction for T |
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| 326 | fc = dir*tra(ji ,jj,jk)+(1-dir)*tra(ji+1,jj,jk) ! FC in the x-direction for T |
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| 327 | fd = dir*tra(ji+1,jj,jk)+(1-dir)*tra(ji ,jj,jk) ! FD in the x-direction for T |
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| 328 | |
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| 329 | !--- QUICKEST scheme |
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| 330 | ! Temperature on the x-direction |
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| 331 | coef1 = 0.5*(fc+fd) |
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| 332 | coef2 = 0.5*c*(fd-fc) |
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| 333 | coef3 = ((1.-(c*c))/6.)*(dir*zlap(ji,jj,jk) + (1-dir)*zlap(ji+1,jj,jk) ) |
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| 334 | fho = coef1-coef2-coef3 |
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| 335 | fho = bound(fu,fd,fc,fho) |
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| 336 | !--- If the second ustream point is a land point |
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| 337 | !--- the flux is computed by the 1st order UPWIND scheme |
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| 338 | mask=dir*zmask(ji,jj,jk)+(1-dir)*zmask(ji+1,jj,jk) |
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| 339 | fho = mask*fho + (1-mask)*fc |
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| 340 | dwst(ji,jj,jk)=e2*pun(ji,jj,jk)*fho |
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| 341 | END DO |
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| 342 | END DO |
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| 343 | |
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| 344 | !--- Tracer flux divergence at t-point added to the general trend |
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| 345 | DO jj = 2, jpjm1 |
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| 346 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 347 | !--- horizontal advective trends |
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| 348 | #if defined key_zco |
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| 349 | zbtr = zbtr2(ji,jj) |
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| 350 | #else |
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| 351 | zbtr = zbtr2(ji,jj) / fse3t(ji,jj,jk) |
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| 352 | #endif |
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| 353 | za = - zbtr * ( dwst(ji,jj,jk) - dwst(ji-1,jj ,jk) ) |
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| 354 | !--- add it to the general tracer trends |
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| 355 | traa(ji,jj,jk) = traa(ji,jj,jk) + za |
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| 356 | END DO |
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| 357 | END DO |
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| 358 | ! ! =============== |
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| 359 | END DO ! End of slab |
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| 360 | ! ! =============== |
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| 361 | !---------------------------------------------------------------------- |
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| 362 | ! I. Part 2 : y-direction |
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| 363 | !---------------------------------------------------------------------- |
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| 364 | ! ============== |
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| 365 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 366 | ! ! =============== |
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| 367 | ! Initialization of metric arrays (for z- or s-coordinates) |
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| 368 | ! --------------------------------------------------------- |
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| 369 | DO jj = 1, jpjm1 |
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| 370 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 371 | #if defined key_zco |
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| 372 | ! z-coordinates, no vertical scale factors |
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| 373 | zee(ji,jj) = e1v(ji,jj) / e2v(ji,jj) * vmask(ji,jj,jk) |
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| 374 | #else |
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| 375 | ! s-coordinates, vertical scale factor are used |
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| 376 | zee(ji,jj) = e1v(ji,jj) * fse3v(ji,jj,jk) / e2v(ji,jj) * vmask(ji,jj,jk) |
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| 377 | #endif |
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| 378 | END DO |
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| 379 | END DO |
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| 380 | |
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| 381 | ! Laplacian of tracers (at before time step) |
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| 382 | ! ------------------------------------------ |
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| 383 | !--- First derivative (gradient) |
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| 384 | DO jj = 1, jpjm1 |
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| 385 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 386 | zmask(ji,jj,jk) = zee(ji,jj) * ( tra(ji ,jj+1,jk) - tra(ji,jj,jk) ) |
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| 387 | END DO |
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| 388 | END DO |
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| 389 | !--- Second derivative (divergence) |
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| 390 | DO jj = 2, jpjm1 |
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| 391 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 392 | #if defined key_zco |
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| 393 | zee(ji,jj) = e2t(ji,jj) / e1t(ji,jj) |
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| 394 | #else |
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| 395 | zee(ji,jj) = e2t(ji,jj) / (e1t(ji,jj) * fse3t(ji,jj,jk)) |
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| 396 | #endif |
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| 397 | zlap(ji,jj,jk) = zee(ji,jj) * ( zmask(ji,jj,jk) - zmask(ji,jj-1,jk) ) |
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| 398 | END DO |
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| 399 | END DO |
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| 400 | !--- Function lim=FU+SL*(FC-FU) used by the limiter |
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| 401 | !--- Computation of the ustream and downstream lim at the T-points |
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| 402 | DO jj = 2, jpjm1 |
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| 403 | DO ji = 2, fs_jpim1 ! vector opt. |
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| 404 | ! Upstream in the y-direction for the tracer |
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| 405 | zmask(ji,jj,jk)=tra(ji,jj-1,jk)+sl(ji,jj,jk)*(tra(ji,jj,jk)-tra(ji,jj-1,jk)) |
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| 406 | ! Downstream in the y-direction for the tracer |
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| 407 | dwst (ji,jj,jk)=tra(ji,jj+1,jk)+sl(ji,jj,jk)*(tra(ji,jj,jk)-tra(ji,jj+1,jk)) |
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| 408 | ENDDO |
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| 409 | ENDDO |
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| 410 | END DO |
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| 411 | !--- Lateral boundary conditions on the laplacian (unchanged sgn) |
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| 412 | CALL lbc_lnk( zlap(:,:,:), 'T', 1. ) |
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| 413 | !--- Lateral boundary conditions for the lim function |
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| 414 | CALL lbc_lnk( zmask(:,:,:), 'T', 1. ) ; CALL lbc_lnk( dwst(:,:,:), 'T', 1. ) |
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| 415 | |
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| 416 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 417 | ! ! =============== |
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| 418 | ! --- lim at the V-points in function of the direction of the flow |
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| 419 | ! ---------------------------------------------------------------- |
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| 420 | DO jj = 1, jpjm1 |
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| 421 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 422 | dir = 0.5 + sign(0.5,pvn(ji,jj,jk)) ! if pvn>0 : dirv = 1 otherwise dirv = 0 |
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| 423 | lim(ji,jj,jk)=dir*zmask(ji,jj,jk)+(1-dir)*dwst(ji,jj+1,jk) |
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| 424 | ! Mask at the T-points in the y-direction (mask=0 or mask=1) |
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| 425 | zmask(ji,jj,jk)=tmask(ji,jj-1,jk)+tmask(ji,jj,jk)+tmask(ji,jj+1,jk)-2 |
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| 426 | END DO |
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| 427 | END DO |
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| 428 | END DO |
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| 429 | !--- Lateral boundary conditions for the mask |
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| 430 | CALL lbc_lnk( zmask(:,:,:), 'T', 1. ) |
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| 431 | |
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| 432 | ! Horizontal advective fluxes |
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| 433 | ! ------------------------------- |
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| 434 | ! =============== |
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| 435 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 436 | ! =============== |
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| 437 | dt = z2 * rdttra(jk) |
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| 438 | !--- tracer flux at u and v-points |
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| 439 | DO jj = 1, jpjm1 |
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| 440 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 441 | #if defined key_zco |
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| 442 | e1 = e1v(ji,jj) |
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| 443 | #else |
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| 444 | e1 = e1v(ji,jj) * fse3v(ji,jj,jk) |
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| 445 | #endif |
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| 446 | dir = 0.5 + sign(0.5,pvn(ji,jj,jk)) ! if pvn>0 : dirv = 1 otherwise dirv = 0 |
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| 447 | |
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| 448 | dx = dir * e2t(ji,jj) + (1-dir)* e2t(ji,jj+1) |
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| 449 | c = ABS(pvn(ji,jj,jk))*dt/dx ! (0<cy<1 : Courant number on y-direction) |
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| 450 | |
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| 451 | fu = lim(ji,jj,jk) ! FU + sl(FC-FU) in the y-direction for T |
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| 452 | fc = dir*tra(ji,jj ,jk)+(1-dir)*tra(ji,jj+1,jk) ! FC in the y-direction for T |
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| 453 | fd = dir*tra(ji,jj+1,jk)+(1-dir)*tra(ji,jj ,jk) ! FD in the y-direction for T |
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| 454 | |
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| 455 | !--- QUICKEST scheme |
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| 456 | ! Temperature on the y-direction |
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| 457 | coef1 = 0.5*(fc+fd) |
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| 458 | coef2 = 0.5*c*(fd-fc) |
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| 459 | coef3 = ((1.-(c*c))/6.)*(dir*zlap(ji,jj,jk) + (1-dir)*zlap(ji,jj+1,jk) ) |
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| 460 | fho = coef1-coef2-coef3 |
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| 461 | fho = bound(fu,fd,fc,fho) |
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| 462 | !--- If the second ustream point is a land point |
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| 463 | !--- the flux is computed by the 1st order UPWIND scheme |
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| 464 | mask=dir*zmask(ji,jj,jk)+(1-dir)*zmask(ji,jj+1,jk) |
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| 465 | fho = mask*fho + (1-mask)*fc |
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| 466 | dwst(ji,jj,jk)=e1*pvn(ji,jj,jk)*fho |
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| 467 | END DO |
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| 468 | END DO |
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| 469 | |
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| 470 | !--- Tracer flux divergence at t-point added to the general trend |
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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 | !--- horizontal advective trends |
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| 474 | #if defined key_zco |
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| 475 | zbtr = zbtr2(ji,jj) |
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| 476 | #else |
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| 477 | zbtr = zbtr2(ji,jj) / fse3t(ji,jj,jk) |
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| 478 | #endif |
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| 479 | za = - zbtr * ( dwst(ji,jj,jk) - dwst(ji ,jj-1,jk) ) |
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| 480 | !--- add it to the general tracer trends |
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| 481 | traa(ji,jj,jk) = traa(ji,jj,jk) + za |
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| 482 | END DO |
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| 483 | END DO |
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| 484 | ! ! =============== |
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| 485 | END DO ! End of slab |
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| 486 | ! ! =============== |
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| 487 | |
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| 488 | ! "zonal" mean advective heat and salt transport |
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| 489 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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| 490 | #if defined key_zco |
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| 491 | DO jk = 1, jpkm1 |
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| 492 | DO jj = 2, jpjm1 |
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| 493 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 494 | dwst(ji,jj,jk) = dwst(ji,jj,jk) * fse3v(ji,jj,jk) |
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| 495 | END DO |
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| 496 | END DO |
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| 497 | END DO |
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| 498 | phtra_adv(:) = ptr_vj( dwst(:,:,:) ) |
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| 499 | #else |
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| 500 | phtra_adv(:) = ptr_vj( dwst(:,:,:) ) |
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| 501 | # endif |
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| 502 | ENDIF |
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| 503 | |
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| 504 | END SUBROUTINE tra_adv_qck_hor |
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| 505 | |
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| 506 | SUBROUTINE tra_adv_qck_ver ( pwn, tra , traa, z2 ) |
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| 507 | !!---------------------------------------------------------------------- |
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| 508 | !! |
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| 509 | !!---------------------------------------------------------------------- |
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| 510 | !! * Arguments |
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| 511 | |
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| 512 | REAL(wp), INTENT ( in ) :: z2 |
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| 513 | REAL(wp), INTENT ( in ), DIMENSION(jpi,jpj,jpk) :: & |
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| 514 | pwn |
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| 515 | REAL(wp), INTENT ( inout ), DIMENSION(jpi,jpj,jpk) :: & |
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| 516 | tra, traa |
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| 517 | |
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| 518 | REAL(wp) :: & |
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| 519 | za, ze3tr, dt, dir, fc, fd ! temporary scalars |
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| 520 | |
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| 521 | ! Vertical advection |
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| 522 | ! ------------------ |
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| 523 | |
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| 524 | ! 1. Vertical advective fluxes |
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| 525 | ! ---------------------------- |
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| 526 | |
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| 527 | !Bottom value : flux set to zero |
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| 528 | sl(:,:,jpk) = 0.e0 |
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| 529 | |
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| 530 | ! Surface value |
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| 531 | IF( lk_dynspg_rl .OR. lk_vvl ) THEN |
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| 532 | ! rigid lid : flux set to zero |
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| 533 | sl(:,:, 1 ) = 0.e0 |
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| 534 | ELSE |
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| 535 | ! free surface-constant volume |
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| 536 | sl(:,:, 1 ) = pwn(:,:,1) * tra(:,:,1) |
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| 537 | ENDIF |
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| 538 | |
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| 539 | ! Second order centered tracer flux at w-point |
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| 540 | |
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| 541 | DO jk = 2, jpkm1 |
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| 542 | dt = z2 * rdttra(jk) |
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| 543 | DO jj = 2, jpjm1 |
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| 544 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 545 | dir = 0.5 + sign(0.5,pwn(ji,jj,jk)) ! if pwn>0 : dirw = 1 otherwise dirw = 0 |
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| 546 | fc = dir*tra(ji,jj,jk )*fse3t(ji,jj,jk-1)+(1-dir)*tra(ji,jj,jk-1)*fse3t(ji,jj,jk ) ! FC in the z-direction for T |
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| 547 | fd = dir*tra(ji,jj,jk-1)*fse3t(ji,jj,jk )+(1-dir)*tra(ji,jj,jk )*fse3t(ji,jj,jk-1) ! FD in the z-direction for T |
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| 548 | !--- Second order centered scheme |
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| 549 | sl(ji,jj,jk)=pwn(ji,jj,jk)*(fc+fd)/(fse3t(ji,jj,jk-1)+fse3t(ji,jj,jk)) |
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| 550 | END DO |
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| 551 | END DO |
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| 552 | END DO |
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| 553 | |
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| 554 | ! 2. Tracer flux divergence at t-point added to the general trend |
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| 555 | ! --------------------------------------------------------------- |
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| 556 | |
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| 557 | DO jk = 1, jpkm1 |
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| 558 | DO jj = 2, jpjm1 |
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| 559 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 560 | ze3tr = 1. / fse3t(ji,jj,jk) |
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| 561 | ! vertical advective trends |
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| 562 | za = - ze3tr * ( sl(ji,jj,jk) - sl(ji,jj,jk+1) ) |
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| 563 | ! add it to the general tracer trends |
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| 564 | traa(ji,jj,jk) = traa(ji,jj,jk) + za |
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| 565 | END DO |
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| 566 | END DO |
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| 567 | END DO |
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| 568 | |
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| 569 | END SUBROUTINE tra_adv_qck_ver |
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| 570 | |
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| 571 | REAL FUNCTION bound(fu,fd,fc,fho) |
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| 572 | real :: fu,fd,fc,fho,fref1,fref2 |
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| 573 | fref1 = fu |
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| 574 | fref2 = MAX(MIN(fc,fd),MIN(MAX(fc,fd),fref1)) |
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| 575 | bound = MAX(MIN(fho,fc),MIN(MAX(fho,fc),fref2)) |
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| 576 | END FUNCTION |
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| 577 | |
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| 578 | !!====================================================================== |
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| 579 | END MODULE traadv_qck |
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