[3] | 1 | MODULE traadv_tvd |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE traadv_tvd *** |
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| 4 | !! Ocean active tracers: horizontal & vertical advective trend |
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| 5 | !!============================================================================== |
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[503] | 6 | !! History : ! 95-12 (L. Mortier) Original code |
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| 7 | !! ! 00-01 (H. Loukos) adapted to ORCA |
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| 8 | !! ! 00-10 (MA Foujols E.Kestenare) include file not routine |
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| 9 | !! ! 00-12 (E. Kestenare M. Levy) fix bug in trtrd indexes |
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| 10 | !! ! 01-07 (E. Durand G. Madec) adaptation to ORCA config |
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| 11 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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| 12 | !! 9.0 ! 04-01 (A. de Miranda, G. Madec, J.M. Molines ): advective bbl |
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| 13 | !! 9.0 ! 08-04 (S. Cravatte) add the i-, j- & k- trends computation |
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| 14 | !! " " ! 05-11 (V. Garnier) Surface pressure gradient organization |
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| 15 | !!---------------------------------------------------------------------- |
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[3] | 16 | |
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[503] | 17 | |
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[3] | 18 | !!---------------------------------------------------------------------- |
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| 19 | !! tra_adv_tvd : update the tracer trend with the horizontal |
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| 20 | !! and vertical advection trends using a TVD scheme |
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| 21 | !! nonosc : compute monotonic tracer fluxes by a nonoscillatory |
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| 22 | !! algorithm |
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| 23 | !!---------------------------------------------------------------------- |
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| 24 | USE oce ! ocean dynamics and active tracers |
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| 25 | USE dom_oce ! ocean space and time domain |
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[216] | 26 | USE trdmod ! ocean active tracers trends |
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| 27 | USE trdmod_oce ! ocean variables trends |
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[3] | 28 | USE in_out_manager ! I/O manager |
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[367] | 29 | USE dynspg_oce ! choice/control of key cpp for surface pressure gradient |
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[3] | 30 | USE trabbl ! Advective term of BBL |
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| 31 | USE lib_mpp |
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[74] | 32 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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[132] | 33 | USE diaptr ! poleward transport diagnostics |
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[258] | 34 | USE prtctl ! Print control |
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[3] | 35 | |
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[74] | 36 | |
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[3] | 37 | IMPLICIT NONE |
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| 38 | PRIVATE |
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| 39 | |
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[503] | 40 | PUBLIC tra_adv_tvd ! routine called by step.F90 |
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[3] | 41 | |
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| 42 | !! * Substitutions |
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| 43 | # include "domzgr_substitute.h90" |
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| 44 | # include "vectopt_loop_substitute.h90" |
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| 45 | !!---------------------------------------------------------------------- |
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[503] | 46 | !! OPA 9.0 , LOCEAN-IPSL (2006) |
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[719] | 47 | !! $Header$ |
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[503] | 48 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 49 | !!---------------------------------------------------------------------- |
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| 50 | |
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| 51 | CONTAINS |
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| 52 | |
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[457] | 53 | SUBROUTINE tra_adv_tvd( kt, pun, pvn, pwn ) |
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[3] | 54 | !!---------------------------------------------------------------------- |
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| 55 | !! *** ROUTINE tra_adv_tvd *** |
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| 56 | !! |
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| 57 | !! ** Purpose : Compute the now trend due to total advection of |
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| 58 | !! tracers and add it to the general trend of tracer equations |
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| 59 | !! |
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| 60 | !! ** Method : TVD scheme, i.e. 2nd order centered scheme with |
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| 61 | !! corrected flux (monotonic correction) |
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| 62 | !! note: - this advection scheme needs a leap-frog time scheme |
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| 63 | !! |
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| 64 | !! ** Action : - update (ta,sa) with the now advective tracer trends |
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[503] | 65 | !! - save the trends in (ztrdt,ztrds) ('key_trdtra') |
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| 66 | !!---------------------------------------------------------------------- |
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| 67 | USE oce , ztrdt => ua ! use ua as workspace |
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| 68 | USE oce , ztrds => va ! use va as workspace |
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[3] | 69 | !! |
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[503] | 70 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 71 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun ! ocean velocity u-component |
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| 72 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pvn ! ocean velocity v-component |
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| 73 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pwn ! ocean velocity w-component |
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| 74 | !! |
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[3] | 75 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[258] | 76 | REAL(wp) :: & ! temporary scalar |
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[785] | 77 | ztat, zsat, & ! " " |
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[503] | 78 | z_hdivn_x, z_hdivn_y, z_hdivn |
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[3] | 79 | REAL(wp) :: & |
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[503] | 80 | z2dtt, zbtr, zeu, zev, & ! temporary scalar |
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| 81 | zew, z2, zbtr1, & ! temporary scalar |
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[3] | 82 | zfp_ui, zfp_vj, zfp_wk, & ! " " |
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| 83 | zfm_ui, zfm_vj, zfm_wk ! " " |
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[503] | 84 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zti, ztu, ztv, ztw ! temporary workspace |
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| 85 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zsi, zsu, zsv, zsw ! " " |
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[3] | 86 | !!---------------------------------------------------------------------- |
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| 87 | |
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[408] | 88 | zti(:,:,:) = 0.e0 ; zsi(:,:,:) = 0.e0 |
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| 89 | |
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[3] | 90 | IF( kt == nit000 .AND. lwp ) THEN |
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| 91 | WRITE(numout,*) |
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| 92 | WRITE(numout,*) 'tra_adv_tvd : TVD advection scheme' |
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| 93 | WRITE(numout,*) '~~~~~~~~~~~' |
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| 94 | ENDIF |
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| 95 | |
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[503] | 96 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; z2 = 1. |
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| 97 | ELSE ; z2 = 2. |
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[3] | 98 | ENDIF |
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| 99 | |
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| 100 | ! 1. Bottom value : flux set to zero |
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| 101 | ! --------------- |
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| 102 | ztu(:,:,jpk) = 0.e0 ; zsu(:,:,jpk) = 0.e0 |
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| 103 | ztv(:,:,jpk) = 0.e0 ; zsv(:,:,jpk) = 0.e0 |
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| 104 | ztw(:,:,jpk) = 0.e0 ; zsw(:,:,jpk) = 0.e0 |
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| 105 | zti(:,:,jpk) = 0.e0 ; zsi(:,:,jpk) = 0.e0 |
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| 106 | |
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| 107 | |
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| 108 | ! 2. upstream advection with initial mass fluxes & intermediate update |
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| 109 | ! -------------------------------------------------------------------- |
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| 110 | ! upstream tracer flux in the i and j direction |
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| 111 | DO jk = 1, jpkm1 |
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| 112 | DO jj = 1, jpjm1 |
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| 113 | DO ji = 1, fs_jpim1 ! vector opt. |
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[457] | 114 | zeu = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun(ji,jj,jk) |
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| 115 | zev = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn(ji,jj,jk) |
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[3] | 116 | ! upstream scheme |
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| 117 | zfp_ui = zeu + ABS( zeu ) |
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| 118 | zfm_ui = zeu - ABS( zeu ) |
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| 119 | zfp_vj = zev + ABS( zev ) |
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| 120 | zfm_vj = zev - ABS( zev ) |
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| 121 | ztu(ji,jj,jk) = zfp_ui * tb(ji,jj,jk) + zfm_ui * tb(ji+1,jj ,jk) |
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| 122 | ztv(ji,jj,jk) = zfp_vj * tb(ji,jj,jk) + zfm_vj * tb(ji ,jj+1,jk) |
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| 123 | zsu(ji,jj,jk) = zfp_ui * sb(ji,jj,jk) + zfm_ui * sb(ji+1,jj ,jk) |
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| 124 | zsv(ji,jj,jk) = zfp_vj * sb(ji,jj,jk) + zfm_vj * sb(ji ,jj+1,jk) |
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| 125 | END DO |
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| 126 | END DO |
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| 127 | END DO |
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| 128 | |
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| 129 | ! upstream tracer flux in the k direction |
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| 130 | ! Surface value |
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[592] | 131 | IF( lk_dynspg_rl .OR. lk_vvl ) THEN ! rigid lid or variable volume: flux set to zero |
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[359] | 132 | ztw(:,:,1) = 0.e0 |
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| 133 | zsw(:,:,1) = 0.e0 |
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[457] | 134 | ELSE ! free surface |
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[3] | 135 | DO jj = 1, jpj |
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| 136 | DO ji = 1, jpi |
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[457] | 137 | zew = e1t(ji,jj) * e2t(ji,jj) * pwn(ji,jj,1) |
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[3] | 138 | ztw(ji,jj,1) = zew * tb(ji,jj,1) |
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| 139 | zsw(ji,jj,1) = zew * sb(ji,jj,1) |
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| 140 | END DO |
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| 141 | END DO |
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| 142 | ENDIF |
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| 143 | |
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| 144 | ! Interior value |
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| 145 | DO jk = 2, jpkm1 |
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| 146 | DO jj = 1, jpj |
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| 147 | DO ji = 1, jpi |
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[457] | 148 | zew = 0.5 * e1t(ji,jj) * e2t(ji,jj) * pwn(ji,jj,jk) |
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[3] | 149 | zfp_wk = zew + ABS( zew ) |
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| 150 | zfm_wk = zew - ABS( zew ) |
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| 151 | ztw(ji,jj,jk) = zfp_wk * tb(ji,jj,jk) + zfm_wk * tb(ji,jj,jk-1) |
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| 152 | zsw(ji,jj,jk) = zfp_wk * sb(ji,jj,jk) + zfm_wk * sb(ji,jj,jk-1) |
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| 153 | END DO |
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| 154 | END DO |
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| 155 | END DO |
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| 156 | |
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| 157 | ! total advective trend |
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| 158 | DO jk = 1, jpkm1 |
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[785] | 159 | z2dtt = z2 * rdttra(jk) |
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[3] | 160 | DO jj = 2, jpjm1 |
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| 161 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 162 | zbtr = 1./ ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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[216] | 163 | ! total intermediate advective trends |
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[785] | 164 | ztat = - ( ztu(ji,jj,jk) - ztu(ji-1,jj ,jk ) & |
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| 165 | & + ztv(ji,jj,jk) - ztv(ji ,jj-1,jk ) & |
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| 166 | & + ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1) ) * zbtr |
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| 167 | zsat = - ( zsu(ji,jj,jk) - zsu(ji-1,jj ,jk ) & |
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| 168 | & + zsv(ji,jj,jk) - zsv(ji ,jj-1,jk ) & |
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| 169 | & + zsw(ji,jj,jk) - zsw(ji ,jj ,jk+1) ) * zbtr |
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| 170 | ! update and guess with monotonic sheme |
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| 171 | ta(ji,jj,jk) = ta(ji,jj,jk) + ztat |
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| 172 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsat |
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| 173 | zti (ji,jj,jk) = ( tb(ji,jj,jk) + z2dtt * ztat ) * tmask(ji,jj,jk) |
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| 174 | zsi (ji,jj,jk) = ( sb(ji,jj,jk) + z2dtt * zsat ) * tmask(ji,jj,jk) |
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[3] | 175 | END DO |
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| 176 | END DO |
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| 177 | END DO |
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| 178 | |
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[503] | 179 | |
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| 180 | ! Save the intermediate i / j / k advective trends for diagnostics |
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| 181 | ! ------------------------------------------------------------------- |
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| 182 | ! Warning : We should use zun instead of un in the computations below, but we |
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| 183 | ! also use hdivn which is computed with un, vn (check ???). So we use un, vn |
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| 184 | ! for consistency. Results are therefore approximate with key_trabbl_adv. |
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| 185 | |
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| 186 | IF( l_trdtra ) THEN |
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| 187 | ztrdt(:,:,:) = 0.e0 ; ztrds(:,:,:) = 0.e0 |
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| 188 | ! |
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| 189 | ! T/S ZONAL advection trends |
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[216] | 190 | DO jk = 1, jpkm1 |
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| 191 | DO jj = 2, jpjm1 |
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| 192 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[503] | 193 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 194 | ztrdt(ji,jj,jk) = - ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) * zbtr |
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| 195 | ztrds(ji,jj,jk) = - ( zsu(ji,jj,jk) - zsu(ji-1,jj,jk) ) * zbtr |
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[216] | 196 | END DO |
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| 197 | END DO |
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| 198 | END DO |
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[503] | 199 | CALL trd_mod(ztrdt, ztrds, jptra_trd_xad, 'TRA', kt) ! save the trends |
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| 200 | ! |
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| 201 | ! T/S MERIDIONAL advection trends |
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| 202 | DO jk = 1, jpkm1 |
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| 203 | DO jj = 2, jpjm1 |
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| 204 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 205 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 206 | ztrdt(ji,jj,jk) = - ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) * zbtr |
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| 207 | ztrds(ji,jj,jk) = - ( zsv(ji,jj,jk) - zsv(ji,jj-1,jk) ) * zbtr |
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| 208 | END DO |
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| 209 | END DO |
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| 210 | END DO |
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| 211 | CALL trd_mod(ztrdt, ztrds, jptra_trd_yad, 'TRA', kt) ! save the trends |
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| 212 | ! |
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| 213 | ! T/S VERTICAL advection trends |
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| 214 | DO jk = 1, jpkm1 |
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| 215 | DO jj = 2, jpjm1 |
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| 216 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 217 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 218 | ztrdt(ji,jj,jk) = - ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) * zbtr |
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| 219 | ztrds(ji,jj,jk) = - ( zsw(ji,jj,jk) - zsw(ji,jj,jk+1) ) * zbtr |
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| 220 | END DO |
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| 221 | END DO |
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| 222 | END DO |
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| 223 | CALL trd_mod(ztrdt, ztrds, jptra_trd_zad, 'TRA', kt) ! save the trends |
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| 224 | ! |
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[216] | 225 | ENDIF |
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| 226 | |
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[3] | 227 | ! Lateral boundary conditions on zti, zsi (unchanged sign) |
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| 228 | CALL lbc_lnk( zti, 'T', 1. ) |
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| 229 | CALL lbc_lnk( zsi, 'T', 1. ) |
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| 230 | |
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| 231 | |
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| 232 | ! 3. antidiffusive flux : high order minus low order |
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| 233 | ! -------------------------------------------------- |
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| 234 | ! antidiffusive flux on i and j |
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| 235 | DO jk = 1, jpkm1 |
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| 236 | DO jj = 1, jpjm1 |
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| 237 | DO ji = 1, fs_jpim1 ! vector opt. |
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[457] | 238 | zeu = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun(ji,jj,jk) |
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| 239 | zev = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn(ji,jj,jk) |
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[3] | 240 | ztu(ji,jj,jk) = zeu * ( tn(ji,jj,jk) + tn(ji+1,jj,jk) ) - ztu(ji,jj,jk) |
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| 241 | zsu(ji,jj,jk) = zeu * ( sn(ji,jj,jk) + sn(ji+1,jj,jk) ) - zsu(ji,jj,jk) |
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| 242 | ztv(ji,jj,jk) = zev * ( tn(ji,jj,jk) + tn(ji,jj+1,jk) ) - ztv(ji,jj,jk) |
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| 243 | zsv(ji,jj,jk) = zev * ( sn(ji,jj,jk) + sn(ji,jj+1,jk) ) - zsv(ji,jj,jk) |
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| 244 | END DO |
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| 245 | END DO |
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| 246 | END DO |
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| 247 | |
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| 248 | ! antidiffusive flux on k |
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| 249 | ! Surface value |
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[503] | 250 | ztw(:,:,1) = 0.e0 |
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| 251 | zsw(:,:,1) = 0.e0 |
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[3] | 252 | |
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| 253 | ! Interior value |
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| 254 | DO jk = 2, jpkm1 |
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| 255 | DO jj = 1, jpj |
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| 256 | DO ji = 1, jpi |
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[457] | 257 | zew = 0.5 * e1t(ji,jj) * e2t(ji,jj) * pwn(ji,jj,jk) |
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[3] | 258 | ztw(ji,jj,jk) = zew * ( tn(ji,jj,jk) + tn(ji,jj,jk-1) ) - ztw(ji,jj,jk) |
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| 259 | zsw(ji,jj,jk) = zew * ( sn(ji,jj,jk) + sn(ji,jj,jk-1) ) - zsw(ji,jj,jk) |
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| 260 | END DO |
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| 261 | END DO |
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| 262 | END DO |
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| 263 | |
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| 264 | ! Lateral bondary conditions |
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| 265 | CALL lbc_lnk( ztu, 'U', -1. ) ; CALL lbc_lnk( zsu, 'U', -1. ) |
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| 266 | CALL lbc_lnk( ztv, 'V', -1. ) ; CALL lbc_lnk( zsv, 'V', -1. ) |
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| 267 | CALL lbc_lnk( ztw, 'W', 1. ) ; CALL lbc_lnk( zsw, 'W', 1. ) |
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| 268 | |
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| 269 | ! 4. monotonicity algorithm |
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| 270 | ! ------------------------- |
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| 271 | CALL nonosc( tb, ztu, ztv, ztw, zti, z2 ) |
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| 272 | CALL nonosc( sb, zsu, zsv, zsw, zsi, z2 ) |
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| 273 | |
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| 274 | |
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| 275 | ! 5. final trend with corrected fluxes |
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| 276 | ! ------------------------------------ |
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| 277 | DO jk = 1, jpkm1 |
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| 278 | DO jj = 2, jpjm1 |
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[216] | 279 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[3] | 280 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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[785] | 281 | ! total advective trends |
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| 282 | ztat = - ( ztu(ji,jj,jk) - ztu(ji-1,jj ,jk ) & |
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| 283 | & + ztv(ji,jj,jk) - ztv(ji ,jj-1,jk ) & |
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| 284 | & + ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1) ) * zbtr |
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| 285 | zsat = - ( zsu(ji,jj,jk) - zsu(ji-1,jj ,jk ) & |
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| 286 | & + zsv(ji,jj,jk) - zsv(ji ,jj-1,jk ) & |
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| 287 | & + zsw(ji,jj,jk) - zsw(ji ,jj ,jk+1) ) * zbtr |
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[216] | 288 | ! add them to the general tracer trends |
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[785] | 289 | ta(ji,jj,jk) = ta(ji,jj,jk) + ztat |
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| 290 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsat |
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[3] | 291 | END DO |
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| 292 | END DO |
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| 293 | END DO |
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| 294 | |
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[503] | 295 | |
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| 296 | ! Save the advective trends for diagnostics |
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| 297 | ! -------------------------------------------- |
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| 298 | |
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| 299 | IF( l_trdtra ) THEN |
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| 300 | ztrdt(:,:,:) = 0.e0 ; ztrds(:,:,:) = 0.e0 |
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| 301 | ! |
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| 302 | ! T/S ZONAL advection trends |
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[216] | 303 | DO jk = 1, jpkm1 |
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| 304 | DO jj = 2, jpjm1 |
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| 305 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[503] | 306 | !-- Compute zonal divergence by splitting hdivn (see divcur.F90) |
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| 307 | ! N.B. This computation is not valid along OBCs (if any) |
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| 308 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 309 | z_hdivn_x = ( e2u(ji ,jj) * fse3u(ji ,jj,jk) * pun(ji ,jj,jk) & |
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| 310 | & - e2u(ji-1,jj) * fse3u(ji-1,jj,jk) * pun(ji-1,jj,jk) ) * zbtr |
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| 311 | !-- Compute T/S zonal advection trends |
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| 312 | ztrdt(ji,jj,jk) = - ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) * zbtr + tn(ji,jj,jk) * z_hdivn_x |
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| 313 | ztrds(ji,jj,jk) = - ( zsu(ji,jj,jk) - zsu(ji-1,jj,jk) ) * zbtr + sn(ji,jj,jk) * z_hdivn_x |
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[216] | 314 | END DO |
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| 315 | END DO |
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| 316 | END DO |
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[503] | 317 | CALL trd_mod(ztrdt, ztrds, jptra_trd_xad, 'TRA', kt, cnbpas='bis') ! <<< ADD TO PREVIOUSLY COMPUTED |
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| 318 | ! |
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| 319 | ! T/S MERIDIONAL advection trends |
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| 320 | DO jk = 1, jpkm1 |
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| 321 | DO jj = 2, jpjm1 |
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| 322 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 323 | !-- Compute merid. divergence by splitting hdivn (see divcur.F90) |
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| 324 | ! N.B. This computation is not valid along OBCs (if any) |
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| 325 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 326 | z_hdivn_y = ( e1v(ji, jj) * fse3v(ji,jj ,jk) * pvn(ji,jj ,jk) & |
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| 327 | & - e1v(ji,jj-1) * fse3v(ji,jj-1,jk) * pvn(ji,jj-1,jk) ) * zbtr |
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| 328 | !-- Compute T/S meridional advection trends |
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| 329 | ztrdt(ji,jj,jk) = - ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) * zbtr + tn(ji,jj,jk) * z_hdivn_y |
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| 330 | ztrds(ji,jj,jk) = - ( zsv(ji,jj,jk) - zsv(ji,jj-1,jk) ) * zbtr + sn(ji,jj,jk) * z_hdivn_y |
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| 331 | END DO |
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| 332 | END DO |
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| 333 | END DO |
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| 334 | CALL trd_mod(ztrdt, ztrds, jptra_trd_yad, 'TRA', kt, cnbpas='bis') ! <<< ADD TO PREVIOUSLY COMPUTED |
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| 335 | ! |
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| 336 | ! T/S VERTICAL advection trends |
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| 337 | DO jk = 1, jpkm1 |
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| 338 | DO jj = 2, jpjm1 |
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| 339 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 340 | zbtr1 = 1. / ( e1t(ji,jj) * e2t(ji,jj) ) |
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| 341 | #if defined key_zco |
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| 342 | zbtr = zbtr1 |
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| 343 | z_hdivn_x = e2u(ji,jj)*pun(ji,jj,jk) - e2u(ji-1,jj)*pun(ji-1,jj,jk) |
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| 344 | z_hdivn_y = e1v(ji,jj)*pvn(ji,jj,jk) - e1v(ji,jj-1)*pvn(ji,jj-1,jk) |
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| 345 | #else |
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| 346 | zbtr = zbtr1 / fse3t(ji,jj,jk) |
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| 347 | 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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| 348 | 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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| 349 | #endif |
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| 350 | z_hdivn = (z_hdivn_x + z_hdivn_y) * zbtr |
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| 351 | zbtr = zbtr1 / fse3t(ji,jj,jk) |
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| 352 | ztrdt(ji,jj,jk) = - ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) * zbtr - tn(ji,jj,jk) * z_hdivn |
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| 353 | ztrds(ji,jj,jk) = - ( zsw(ji,jj,jk) - zsw(ji,jj,jk+1) ) * zbtr - sn(ji,jj,jk) * z_hdivn |
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| 354 | END DO |
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| 355 | END DO |
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| 356 | END DO |
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| 357 | CALL trd_mod(ztrdt, ztrds, jptra_trd_zad, 'TRA', kt, cnbpas='bis') ! <<< ADD TO PREVIOUSLY COMPUTED |
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| 358 | ! |
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[216] | 359 | ENDIF |
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| 360 | |
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[503] | 361 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ta, clinfo1=' tvd adv - Ta: ', mask1=tmask, & |
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| 362 | & tab3d_2=sa, clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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[3] | 363 | |
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[132] | 364 | ! "zonal" mean advective heat and salt transport |
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| 365 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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| 366 | pht_adv(:) = ptr_vj( ztv(:,:,:) ) |
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| 367 | pst_adv(:) = ptr_vj( zsv(:,:,:) ) |
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[3] | 368 | ENDIF |
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[503] | 369 | ! |
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[3] | 370 | END SUBROUTINE tra_adv_tvd |
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| 371 | |
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| 372 | |
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| 373 | SUBROUTINE nonosc( pbef, paa, pbb, pcc, paft, prdt ) |
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| 374 | !!--------------------------------------------------------------------- |
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| 375 | !! *** ROUTINE nonosc *** |
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| 376 | !! |
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| 377 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
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| 378 | !! scheme and the before field by a nonoscillatory algorithm |
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| 379 | !! |
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| 380 | !! ** Method : ... ??? |
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| 381 | !! warning : pbef and paft must be masked, but the boundaries |
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| 382 | !! conditions on the fluxes are not necessary zalezak (1979) |
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| 383 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
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| 384 | !! in-space based differencing for fluid |
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| 385 | !!---------------------------------------------------------------------- |
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[785] | 386 | REAL(wp), INTENT( in ) :: prdt ! ??? |
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[3] | 387 | REAL(wp), DIMENSION (jpi,jpj,jpk), INTENT( inout ) :: & |
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| 388 | pbef, & ! before field |
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| 389 | paft, & ! after field |
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| 390 | paa, & ! monotonic flux in the i direction |
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| 391 | pbb, & ! monotonic flux in the j direction |
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| 392 | pcc ! monotonic flux in the k direction |
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[503] | 393 | !! |
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[3] | 394 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 395 | INTEGER :: ikm1 |
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| 396 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zbetup, zbetdo |
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[785] | 397 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zbup, zbdo |
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[3] | 398 | REAL(wp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn, z2dtt |
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[785] | 399 | REAL(wp) :: zau, zbu, zcu, zav, zbv, zcv |
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| 400 | REAL(wp) :: zup, zdo |
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[3] | 401 | !!---------------------------------------------------------------------- |
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| 402 | |
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| 403 | zbig = 1.e+40 |
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| 404 | zrtrn = 1.e-15 |
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[785] | 405 | zbetup(:,:,jpk) = 0.e0 ; zbetdo(:,:,jpk) = 0.e0 |
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[3] | 406 | |
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[785] | 407 | |
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[3] | 408 | ! Search local extrema |
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| 409 | ! -------------------- |
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[785] | 410 | ! max/min of pbef & paft with large negative/positive value (-/+zbig) inside land |
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| 411 | zbup = MAX( pbef * tmask - zbig * ( 1.e0 - tmask ), & |
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| 412 | & paft * tmask - zbig * ( 1.e0 - tmask ) ) |
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| 413 | zbdo = MIN( pbef * tmask + zbig * ( 1.e0 - tmask ), & |
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| 414 | & paft * tmask + zbig * ( 1.e0 - tmask ) ) |
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| 415 | |
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[3] | 416 | DO jk = 1, jpkm1 |
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| 417 | ikm1 = MAX(jk-1,1) |
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[785] | 418 | z2dtt = prdt * rdttra(jk) |
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[3] | 419 | DO jj = 2, jpjm1 |
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| 420 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 421 | |
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[785] | 422 | ! search maximum in neighbourhood |
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| 423 | zup = MAX( zbup(ji ,jj ,jk ), & |
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| 424 | & zbup(ji-1,jj ,jk ), zbup(ji+1,jj ,jk ), & |
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| 425 | & zbup(ji ,jj-1,jk ), zbup(ji ,jj+1,jk ), & |
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| 426 | & zbup(ji ,jj ,ikm1), zbup(ji ,jj ,jk+1) ) |
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[3] | 427 | |
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[785] | 428 | ! search minimum in neighbourhood |
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| 429 | zdo = MIN( zbdo(ji ,jj ,jk ), & |
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| 430 | & zbdo(ji-1,jj ,jk ), zbdo(ji+1,jj ,jk ), & |
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| 431 | & zbdo(ji ,jj-1,jk ), zbdo(ji ,jj+1,jk ), & |
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| 432 | & zbdo(ji ,jj ,ikm1), zbdo(ji ,jj ,jk+1) ) |
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[3] | 433 | |
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[785] | 434 | ! positive part of the flux |
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[3] | 435 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
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| 436 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
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| 437 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
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[785] | 438 | |
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| 439 | ! negative part of the flux |
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[3] | 440 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
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| 441 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
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| 442 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
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[785] | 443 | |
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[3] | 444 | ! up & down beta terms |
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| 445 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) / z2dtt |
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[785] | 446 | zbetup(ji,jj,jk) = ( zup - paft(ji,jj,jk) ) / ( zpos + zrtrn ) * zbt |
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| 447 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zdo ) / ( zneg + zrtrn ) * zbt |
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[3] | 448 | END DO |
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| 449 | END DO |
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| 450 | END DO |
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| 451 | |
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| 452 | ! lateral boundary condition on zbetup & zbetdo (unchanged sign) |
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| 453 | CALL lbc_lnk( zbetup, 'T', 1. ) |
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| 454 | CALL lbc_lnk( zbetdo, 'T', 1. ) |
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| 455 | |
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| 456 | |
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[237] | 457 | ! 3. monotonic flux in the i & j direction (paa & pbb) |
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| 458 | ! ---------------------------------------- |
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[3] | 459 | DO jk = 1, jpkm1 |
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| 460 | DO jj = 2, jpjm1 |
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| 461 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[785] | 462 | zau = MIN( 1.e0, zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
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| 463 | zbu = MIN( 1.e0, zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
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| 464 | zcu = ( 0.5 + SIGN( 0.5 , paa(ji,jj,jk) ) ) |
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| 465 | paa(ji,jj,jk) = paa(ji,jj,jk) * ( zcu * zau + ( 1.e0 - zcu) * zbu ) |
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[3] | 466 | |
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[785] | 467 | zav = MIN( 1.e0, zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
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| 468 | zbv = MIN( 1.e0, zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
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| 469 | zcv = ( 0.5 + SIGN( 0.5 , pbb(ji,jj,jk) ) ) |
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| 470 | pbb(ji,jj,jk) = pbb(ji,jj,jk) * ( zcv * zav + ( 1.e0 - zcv) * zbv ) |
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[3] | 471 | |
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| 472 | ! monotonic flux in the k direction, i.e. pcc |
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| 473 | ! ------------------------------------------- |
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[785] | 474 | za = MIN( 1., zbetdo(ji,jj,jk+1), zbetup(ji,jj,jk) ) |
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| 475 | zb = MIN( 1., zbetup(ji,jj,jk+1), zbetdo(ji,jj,jk) ) |
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| 476 | zc = ( 0.5 + SIGN( 0.5 , pcc(ji,jj,jk+1) ) ) |
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| 477 | pcc(ji,jj,jk+1) = pcc(ji,jj,jk+1) * ( zc * za + ( 1.e0 - zc) * zb ) |
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[3] | 478 | END DO |
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| 479 | END DO |
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| 480 | END DO |
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| 481 | |
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[237] | 482 | ! lateral boundary condition on paa, pbb, pcc |
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| 483 | CALL lbc_lnk( paa, 'U', -1. ) ! changed sign |
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| 484 | CALL lbc_lnk( pbb, 'V', -1. ) ! changed sign |
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[503] | 485 | ! |
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[3] | 486 | END SUBROUTINE nonosc |
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| 487 | |
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| 488 | !!====================================================================== |
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| 489 | END MODULE traadv_tvd |
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