[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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[699] | 47 | !! $Id$ |
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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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[216] | 77 | ztai, ztaj, ztak, & ! " " |
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[503] | 78 | zsai, zsaj, zsak, & ! " " |
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| 79 | z_hdivn_x, z_hdivn_y, z_hdivn |
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[3] | 80 | REAL(wp) :: & |
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[503] | 81 | z2dtt, zbtr, zeu, zev, & ! temporary scalar |
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| 82 | zew, z2, zbtr1, & ! temporary scalar |
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[3] | 83 | zfp_ui, zfp_vj, zfp_wk, & ! " " |
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| 84 | zfm_ui, zfm_vj, zfm_wk ! " " |
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[503] | 85 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zti, ztu, ztv, ztw ! temporary workspace |
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| 86 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zsi, zsu, zsv, zsw ! " " |
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[3] | 87 | !!---------------------------------------------------------------------- |
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| 88 | |
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[408] | 89 | zti(:,:,:) = 0.e0 ; zsi(:,:,:) = 0.e0 |
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| 90 | |
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[3] | 91 | IF( kt == nit000 .AND. lwp ) THEN |
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| 92 | WRITE(numout,*) |
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| 93 | WRITE(numout,*) 'tra_adv_tvd : TVD advection scheme' |
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| 94 | WRITE(numout,*) '~~~~~~~~~~~' |
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| 95 | ENDIF |
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| 96 | |
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[503] | 97 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; z2 = 1. |
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| 98 | ELSE ; z2 = 2. |
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[3] | 99 | ENDIF |
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| 100 | |
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| 101 | ! 1. Bottom value : flux set to zero |
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| 102 | ! --------------- |
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| 103 | ztu(:,:,jpk) = 0.e0 ; zsu(:,:,jpk) = 0.e0 |
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| 104 | ztv(:,:,jpk) = 0.e0 ; zsv(:,:,jpk) = 0.e0 |
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| 105 | ztw(:,:,jpk) = 0.e0 ; zsw(:,:,jpk) = 0.e0 |
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| 106 | zti(:,:,jpk) = 0.e0 ; zsi(:,:,jpk) = 0.e0 |
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| 107 | |
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| 108 | |
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| 109 | ! 2. upstream advection with initial mass fluxes & intermediate update |
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| 110 | ! -------------------------------------------------------------------- |
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| 111 | ! upstream tracer flux in the i and j direction |
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| 112 | DO jk = 1, jpkm1 |
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| 113 | DO jj = 1, jpjm1 |
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| 114 | DO ji = 1, fs_jpim1 ! vector opt. |
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[457] | 115 | zeu = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun(ji,jj,jk) |
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| 116 | zev = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn(ji,jj,jk) |
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[3] | 117 | ! upstream scheme |
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| 118 | zfp_ui = zeu + ABS( zeu ) |
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| 119 | zfm_ui = zeu - ABS( zeu ) |
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| 120 | zfp_vj = zev + ABS( zev ) |
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| 121 | zfm_vj = zev - ABS( zev ) |
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| 122 | ztu(ji,jj,jk) = zfp_ui * tb(ji,jj,jk) + zfm_ui * tb(ji+1,jj ,jk) |
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| 123 | ztv(ji,jj,jk) = zfp_vj * tb(ji,jj,jk) + zfm_vj * tb(ji ,jj+1,jk) |
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| 124 | zsu(ji,jj,jk) = zfp_ui * sb(ji,jj,jk) + zfm_ui * sb(ji+1,jj ,jk) |
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| 125 | zsv(ji,jj,jk) = zfp_vj * sb(ji,jj,jk) + zfm_vj * sb(ji ,jj+1,jk) |
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| 126 | END DO |
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| 127 | END DO |
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| 128 | END DO |
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| 129 | |
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| 130 | ! upstream tracer flux in the k direction |
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| 131 | ! Surface value |
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[592] | 132 | IF( lk_dynspg_rl .OR. lk_vvl ) THEN ! rigid lid or variable volume: flux set to zero |
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[359] | 133 | ztw(:,:,1) = 0.e0 |
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| 134 | zsw(:,:,1) = 0.e0 |
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[457] | 135 | ELSE ! free surface |
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[3] | 136 | DO jj = 1, jpj |
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| 137 | DO ji = 1, jpi |
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[457] | 138 | zew = e1t(ji,jj) * e2t(ji,jj) * pwn(ji,jj,1) |
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[3] | 139 | ztw(ji,jj,1) = zew * tb(ji,jj,1) |
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| 140 | zsw(ji,jj,1) = zew * sb(ji,jj,1) |
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| 141 | END DO |
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| 142 | END DO |
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| 143 | ENDIF |
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| 144 | |
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| 145 | ! Interior value |
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| 146 | DO jk = 2, jpkm1 |
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| 147 | DO jj = 1, jpj |
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| 148 | DO ji = 1, jpi |
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[457] | 149 | zew = 0.5 * e1t(ji,jj) * e2t(ji,jj) * pwn(ji,jj,jk) |
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[3] | 150 | zfp_wk = zew + ABS( zew ) |
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| 151 | zfm_wk = zew - ABS( zew ) |
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| 152 | ztw(ji,jj,jk) = zfp_wk * tb(ji,jj,jk) + zfm_wk * tb(ji,jj,jk-1) |
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| 153 | zsw(ji,jj,jk) = zfp_wk * sb(ji,jj,jk) + zfm_wk * sb(ji,jj,jk-1) |
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| 154 | END DO |
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| 155 | END DO |
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| 156 | END DO |
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| 157 | |
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| 158 | ! total advective trend |
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| 159 | DO jk = 1, jpkm1 |
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| 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 | ! i- j- horizontal & k- vertical advective trends |
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| 164 | ztai = - ( ztu(ji,jj,jk) - ztu(ji-1,jj ,jk ) ) * zbtr |
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| 165 | ztaj = - ( ztv(ji,jj,jk) - ztv(ji ,jj-1,jk ) ) * zbtr |
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| 166 | ztak = - ( ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1) ) * zbtr |
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| 167 | zsai = - ( zsu(ji,jj,jk) - zsu(ji-1,jj ,jk ) ) * zbtr |
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| 168 | zsaj = - ( zsv(ji,jj,jk) - zsv(ji ,jj-1,jk ) ) * zbtr |
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| 169 | zsak = - ( zsw(ji,jj,jk) - zsw(ji ,jj ,jk+1) ) * zbtr |
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| 170 | ! total intermediate advective trends |
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| 171 | zti(ji,jj,jk) = ztai + ztaj + ztak |
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| 172 | zsi(ji,jj,jk) = zsai + zsaj + zsak |
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[3] | 173 | END DO |
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| 174 | END DO |
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| 175 | END DO |
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| 176 | |
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[503] | 177 | |
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| 178 | ! Save the intermediate i / j / k advective trends for diagnostics |
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| 179 | ! ------------------------------------------------------------------- |
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| 180 | ! Warning : We should use zun instead of un in the computations below, but we |
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| 181 | ! also use hdivn which is computed with un, vn (check ???). So we use un, vn |
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| 182 | ! for consistency. Results are therefore approximate with key_trabbl_adv. |
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| 183 | |
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| 184 | IF( l_trdtra ) THEN |
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| 185 | ztrdt(:,:,:) = 0.e0 ; ztrds(:,:,:) = 0.e0 |
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| 186 | ! |
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| 187 | ! T/S ZONAL advection trends |
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[216] | 188 | DO jk = 1, jpkm1 |
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| 189 | DO jj = 2, jpjm1 |
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| 190 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[503] | 191 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 192 | ztrdt(ji,jj,jk) = - ( ztu(ji,jj,jk) - ztu(ji-1,jj,jk) ) * zbtr |
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| 193 | ztrds(ji,jj,jk) = - ( zsu(ji,jj,jk) - zsu(ji-1,jj,jk) ) * zbtr |
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[216] | 194 | END DO |
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| 195 | END DO |
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| 196 | END DO |
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[503] | 197 | CALL trd_mod(ztrdt, ztrds, jptra_trd_xad, 'TRA', kt) ! save the trends |
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| 198 | ! |
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| 199 | ! T/S MERIDIONAL advection trends |
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| 200 | DO jk = 1, jpkm1 |
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| 201 | DO jj = 2, jpjm1 |
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| 202 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 203 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 204 | ztrdt(ji,jj,jk) = - ( ztv(ji,jj,jk) - ztv(ji,jj-1,jk) ) * zbtr |
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| 205 | ztrds(ji,jj,jk) = - ( zsv(ji,jj,jk) - zsv(ji,jj-1,jk) ) * zbtr |
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| 206 | END DO |
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| 207 | END DO |
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| 208 | END DO |
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| 209 | CALL trd_mod(ztrdt, ztrds, jptra_trd_yad, 'TRA', kt) ! save the trends |
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| 210 | ! |
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| 211 | ! T/S VERTICAL advection trends |
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| 212 | DO jk = 1, jpkm1 |
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| 213 | DO jj = 2, jpjm1 |
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| 214 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 215 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 216 | ztrdt(ji,jj,jk) = - ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) * zbtr |
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| 217 | ztrds(ji,jj,jk) = - ( zsw(ji,jj,jk) - zsw(ji,jj,jk+1) ) * zbtr |
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| 218 | END DO |
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| 219 | END DO |
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| 220 | END DO |
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| 221 | CALL trd_mod(ztrdt, ztrds, jptra_trd_zad, 'TRA', kt) ! save the trends |
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| 222 | ! |
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[216] | 223 | ENDIF |
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| 224 | |
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[3] | 225 | ! update and guess with monotonic sheme |
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| 226 | DO jk = 1, jpkm1 |
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| 227 | z2dtt = z2 * rdttra(jk) |
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| 228 | DO jj = 2, jpjm1 |
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| 229 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 230 | ta(ji,jj,jk) = ta(ji,jj,jk) + zti(ji,jj,jk) |
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| 231 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsi(ji,jj,jk) |
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| 232 | zti (ji,jj,jk) = ( tb(ji,jj,jk) + z2dtt * zti(ji,jj,jk) ) * tmask(ji,jj,jk) |
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| 233 | zsi (ji,jj,jk) = ( sb(ji,jj,jk) + z2dtt * zsi(ji,jj,jk) ) * tmask(ji,jj,jk) |
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| 234 | END DO |
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| 235 | END DO |
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| 236 | END DO |
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| 237 | |
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| 238 | ! Lateral boundary conditions on zti, zsi (unchanged sign) |
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| 239 | CALL lbc_lnk( zti, 'T', 1. ) |
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| 240 | CALL lbc_lnk( zsi, 'T', 1. ) |
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| 241 | |
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| 242 | |
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| 243 | ! 3. antidiffusive flux : high order minus low order |
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| 244 | ! -------------------------------------------------- |
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| 245 | ! antidiffusive flux on i and j |
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| 246 | DO jk = 1, jpkm1 |
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| 247 | DO jj = 1, jpjm1 |
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| 248 | DO ji = 1, fs_jpim1 ! vector opt. |
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[457] | 249 | zeu = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun(ji,jj,jk) |
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| 250 | zev = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn(ji,jj,jk) |
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[3] | 251 | ztu(ji,jj,jk) = zeu * ( tn(ji,jj,jk) + tn(ji+1,jj,jk) ) - ztu(ji,jj,jk) |
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| 252 | zsu(ji,jj,jk) = zeu * ( sn(ji,jj,jk) + sn(ji+1,jj,jk) ) - zsu(ji,jj,jk) |
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| 253 | ztv(ji,jj,jk) = zev * ( tn(ji,jj,jk) + tn(ji,jj+1,jk) ) - ztv(ji,jj,jk) |
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| 254 | zsv(ji,jj,jk) = zev * ( sn(ji,jj,jk) + sn(ji,jj+1,jk) ) - zsv(ji,jj,jk) |
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| 255 | END DO |
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| 256 | END DO |
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| 257 | END DO |
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| 258 | |
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| 259 | ! antidiffusive flux on k |
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| 260 | ! Surface value |
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[503] | 261 | ztw(:,:,1) = 0.e0 |
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| 262 | zsw(:,:,1) = 0.e0 |
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[3] | 263 | |
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| 264 | ! Interior value |
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| 265 | DO jk = 2, jpkm1 |
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| 266 | DO jj = 1, jpj |
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| 267 | DO ji = 1, jpi |
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[457] | 268 | zew = 0.5 * e1t(ji,jj) * e2t(ji,jj) * pwn(ji,jj,jk) |
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[3] | 269 | ztw(ji,jj,jk) = zew * ( tn(ji,jj,jk) + tn(ji,jj,jk-1) ) - ztw(ji,jj,jk) |
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| 270 | zsw(ji,jj,jk) = zew * ( sn(ji,jj,jk) + sn(ji,jj,jk-1) ) - zsw(ji,jj,jk) |
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| 271 | END DO |
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| 272 | END DO |
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| 273 | END DO |
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| 274 | |
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| 275 | ! Lateral bondary conditions |
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| 276 | CALL lbc_lnk( ztu, 'U', -1. ) ; CALL lbc_lnk( zsu, 'U', -1. ) |
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| 277 | CALL lbc_lnk( ztv, 'V', -1. ) ; CALL lbc_lnk( zsv, 'V', -1. ) |
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| 278 | CALL lbc_lnk( ztw, 'W', 1. ) ; CALL lbc_lnk( zsw, 'W', 1. ) |
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| 279 | |
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| 280 | ! 4. monotonicity algorithm |
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| 281 | ! ------------------------- |
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| 282 | CALL nonosc( tb, ztu, ztv, ztw, zti, z2 ) |
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| 283 | CALL nonosc( sb, zsu, zsv, zsw, zsi, z2 ) |
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| 284 | |
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| 285 | |
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| 286 | ! 5. final trend with corrected fluxes |
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| 287 | ! ------------------------------------ |
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| 288 | DO jk = 1, jpkm1 |
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| 289 | DO jj = 2, jpjm1 |
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[216] | 290 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[3] | 291 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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[216] | 292 | ! i- j- horizontal & k- vertical advective trends |
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| 293 | ztai = - ( ztu(ji,jj,jk) - ztu(ji-1,jj ,jk )) * zbtr |
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| 294 | ztaj = - ( ztv(ji,jj,jk) - ztv(ji ,jj-1,jk )) * zbtr |
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| 295 | ztak = - ( ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1)) * zbtr |
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| 296 | zsai = - ( zsu(ji,jj,jk) - zsu(ji-1,jj ,jk )) * zbtr |
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| 297 | zsaj = - ( zsv(ji,jj,jk) - zsv(ji ,jj-1,jk )) * zbtr |
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| 298 | zsak = - ( zsw(ji,jj,jk) - zsw(ji ,jj ,jk+1)) * zbtr |
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| 299 | |
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| 300 | ! add them to the general tracer trends |
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| 301 | ta(ji,jj,jk) = ta(ji,jj,jk) + ztai + ztaj + ztak |
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| 302 | sa(ji,jj,jk) = sa(ji,jj,jk) + zsai + zsaj + zsak |
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[3] | 303 | END DO |
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| 304 | END DO |
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| 305 | END DO |
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| 306 | |
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[503] | 307 | |
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| 308 | ! Save the advective trends for diagnostics |
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| 309 | ! -------------------------------------------- |
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| 310 | |
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| 311 | IF( l_trdtra ) THEN |
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| 312 | ztrdt(:,:,:) = 0.e0 ; ztrds(:,:,:) = 0.e0 |
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| 313 | ! |
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| 314 | ! T/S ZONAL advection trends |
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[216] | 315 | DO jk = 1, jpkm1 |
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| 316 | DO jj = 2, jpjm1 |
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| 317 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[503] | 318 | !-- Compute zonal divergence by splitting hdivn (see divcur.F90) |
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| 319 | ! N.B. This computation is not valid along OBCs (if any) |
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| 320 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 321 | z_hdivn_x = ( e2u(ji ,jj) * fse3u(ji ,jj,jk) * pun(ji ,jj,jk) & |
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| 322 | & - e2u(ji-1,jj) * fse3u(ji-1,jj,jk) * pun(ji-1,jj,jk) ) * zbtr |
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| 323 | !-- Compute T/S zonal advection trends |
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| 324 | 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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| 325 | 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] | 326 | END DO |
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| 327 | END DO |
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| 328 | END DO |
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[503] | 329 | CALL trd_mod(ztrdt, ztrds, jptra_trd_xad, 'TRA', kt, cnbpas='bis') ! <<< ADD TO PREVIOUSLY COMPUTED |
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| 330 | ! |
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| 331 | ! T/S MERIDIONAL advection trends |
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| 332 | DO jk = 1, jpkm1 |
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| 333 | DO jj = 2, jpjm1 |
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| 334 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 335 | !-- Compute merid. divergence by splitting hdivn (see divcur.F90) |
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| 336 | ! N.B. This computation is not valid along OBCs (if any) |
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| 337 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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| 338 | z_hdivn_y = ( e1v(ji, jj) * fse3v(ji,jj ,jk) * pvn(ji,jj ,jk) & |
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| 339 | & - e1v(ji,jj-1) * fse3v(ji,jj-1,jk) * pvn(ji,jj-1,jk) ) * zbtr |
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| 340 | !-- Compute T/S meridional advection trends |
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| 341 | 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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| 342 | 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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| 343 | END DO |
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| 344 | END DO |
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| 345 | END DO |
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| 346 | CALL trd_mod(ztrdt, ztrds, jptra_trd_yad, 'TRA', kt, cnbpas='bis') ! <<< ADD TO PREVIOUSLY COMPUTED |
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| 347 | ! |
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| 348 | ! T/S VERTICAL advection trends |
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| 349 | DO jk = 1, jpkm1 |
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| 350 | DO jj = 2, jpjm1 |
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| 351 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 352 | zbtr1 = 1. / ( e1t(ji,jj) * e2t(ji,jj) ) |
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| 353 | #if defined key_zco |
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| 354 | zbtr = zbtr1 |
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| 355 | z_hdivn_x = e2u(ji,jj)*pun(ji,jj,jk) - e2u(ji-1,jj)*pun(ji-1,jj,jk) |
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| 356 | z_hdivn_y = e1v(ji,jj)*pvn(ji,jj,jk) - e1v(ji,jj-1)*pvn(ji,jj-1,jk) |
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| 357 | #else |
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| 358 | zbtr = zbtr1 / fse3t(ji,jj,jk) |
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| 359 | 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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| 360 | 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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| 361 | #endif |
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| 362 | z_hdivn = (z_hdivn_x + z_hdivn_y) * zbtr |
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| 363 | zbtr = zbtr1 / fse3t(ji,jj,jk) |
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| 364 | ztrdt(ji,jj,jk) = - ( ztw(ji,jj,jk) - ztw(ji,jj,jk+1) ) * zbtr - tn(ji,jj,jk) * z_hdivn |
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| 365 | ztrds(ji,jj,jk) = - ( zsw(ji,jj,jk) - zsw(ji,jj,jk+1) ) * zbtr - sn(ji,jj,jk) * z_hdivn |
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| 366 | END DO |
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| 367 | END DO |
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| 368 | END DO |
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| 369 | CALL trd_mod(ztrdt, ztrds, jptra_trd_zad, 'TRA', kt, cnbpas='bis') ! <<< ADD TO PREVIOUSLY COMPUTED |
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| 370 | ! |
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[216] | 371 | ENDIF |
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| 372 | |
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[503] | 373 | IF(ln_ctl) CALL prt_ctl( tab3d_1=ta, clinfo1=' tvd adv - Ta: ', mask1=tmask, & |
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| 374 | & tab3d_2=sa, clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
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[3] | 375 | |
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[132] | 376 | ! "zonal" mean advective heat and salt transport |
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| 377 | IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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| 378 | pht_adv(:) = ptr_vj( ztv(:,:,:) ) |
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| 379 | pst_adv(:) = ptr_vj( zsv(:,:,:) ) |
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[3] | 380 | ENDIF |
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[503] | 381 | ! |
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[3] | 382 | END SUBROUTINE tra_adv_tvd |
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| 383 | |
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| 384 | |
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| 385 | SUBROUTINE nonosc( pbef, paa, pbb, pcc, paft, prdt ) |
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| 386 | !!--------------------------------------------------------------------- |
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| 387 | !! *** ROUTINE nonosc *** |
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| 388 | !! |
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| 389 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
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| 390 | !! scheme and the before field by a nonoscillatory algorithm |
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| 391 | !! |
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| 392 | !! ** Method : ... ??? |
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| 393 | !! warning : pbef and paft must be masked, but the boundaries |
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| 394 | !! conditions on the fluxes are not necessary zalezak (1979) |
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| 395 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
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| 396 | !! in-space based differencing for fluid |
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| 397 | !!---------------------------------------------------------------------- |
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[503] | 398 | REAL(wp), INTENT( in ) :: prdt ! ??? |
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[3] | 399 | REAL(wp), DIMENSION (jpi,jpj,jpk), INTENT( inout ) :: & |
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| 400 | pbef, & ! before field |
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| 401 | paft, & ! after field |
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| 402 | paa, & ! monotonic flux in the i direction |
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| 403 | pbb, & ! monotonic flux in the j direction |
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| 404 | pcc ! monotonic flux in the k direction |
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[503] | 405 | !! |
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[3] | 406 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 407 | INTEGER :: ikm1 |
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| 408 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zbetup, zbetdo |
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| 409 | REAL(wp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn, z2dtt |
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| 410 | !!---------------------------------------------------------------------- |
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| 411 | |
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| 412 | zbig = 1.e+40 |
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| 413 | zrtrn = 1.e-15 |
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[457] | 414 | zbetup(:,:,:) = 0.e0 ; zbetdo(:,:,:) = 0.e0 |
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[3] | 415 | |
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| 416 | ! Search local extrema |
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| 417 | ! -------------------- |
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| 418 | ! large negative value (-zbig) inside land |
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[237] | 419 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) - zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 420 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) - zbig * ( 1.e0 - tmask(:,:,:) ) |
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[3] | 421 | ! search maximum in neighbourhood |
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| 422 | DO jk = 1, jpkm1 |
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| 423 | ikm1 = MAX(jk-1,1) |
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| 424 | DO jj = 2, jpjm1 |
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| 425 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 426 | zbetup(ji,jj,jk) = MAX( pbef(ji ,jj ,jk ), paft(ji ,jj ,jk ), & |
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| 427 | & pbef(ji-1,jj ,jk ), pbef(ji+1,jj ,jk ), & |
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| 428 | & paft(ji-1,jj ,jk ), paft(ji+1,jj ,jk ), & |
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| 429 | & pbef(ji ,jj-1,jk ), pbef(ji ,jj+1,jk ), & |
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| 430 | & paft(ji ,jj-1,jk ), paft(ji ,jj+1,jk ), & |
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| 431 | & pbef(ji ,jj ,ikm1), pbef(ji ,jj ,jk+1), & |
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| 432 | & paft(ji ,jj ,ikm1), paft(ji ,jj ,jk+1) ) |
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| 433 | END DO |
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| 434 | END DO |
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| 435 | END DO |
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| 436 | ! large positive value (+zbig) inside land |
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[237] | 437 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) + zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 438 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) + zbig * ( 1.e0 - tmask(:,:,:) ) |
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[3] | 439 | ! search minimum in neighbourhood |
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| 440 | DO jk = 1, jpkm1 |
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| 441 | ikm1 = MAX(jk-1,1) |
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| 442 | DO jj = 2, jpjm1 |
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| 443 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 444 | zbetdo(ji,jj,jk) = MIN( pbef(ji ,jj ,jk ), paft(ji ,jj ,jk ), & |
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| 445 | & pbef(ji-1,jj ,jk ), pbef(ji+1,jj ,jk ), & |
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| 446 | & paft(ji-1,jj ,jk ), paft(ji+1,jj ,jk ), & |
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| 447 | & pbef(ji ,jj-1,jk ), pbef(ji ,jj+1,jk ), & |
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| 448 | & paft(ji ,jj-1,jk ), paft(ji ,jj+1,jk ), & |
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| 449 | & pbef(ji ,jj ,ikm1), pbef(ji ,jj ,jk+1), & |
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| 450 | & paft(ji ,jj ,ikm1), paft(ji ,jj ,jk+1) ) |
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| 451 | END DO |
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| 452 | END DO |
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| 453 | END DO |
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| 454 | |
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| 455 | ! restore masked values to zero |
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| 456 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) |
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| 457 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) |
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| 458 | |
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| 459 | |
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| 460 | ! 2. Positive and negative part of fluxes and beta terms |
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| 461 | ! ------------------------------------------------------ |
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| 462 | |
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| 463 | DO jk = 1, jpkm1 |
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| 464 | z2dtt = prdt * rdttra(jk) |
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| 465 | DO jj = 2, jpjm1 |
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| 466 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 467 | ! positive & negative part of the flux |
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| 468 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
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| 469 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
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| 470 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
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| 471 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
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| 472 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
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| 473 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
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| 474 | ! up & down beta terms |
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| 475 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) / z2dtt |
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| 476 | zbetup(ji,jj,jk) = ( zbetup(ji,jj,jk) - paft(ji,jj,jk) ) / (zpos+zrtrn) * zbt |
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| 477 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zbetdo(ji,jj,jk) ) / (zneg+zrtrn) * zbt |
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| 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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| 482 | ! lateral boundary condition on zbetup & zbetdo (unchanged sign) |
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| 483 | CALL lbc_lnk( zbetup, 'T', 1. ) |
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| 484 | CALL lbc_lnk( zbetdo, 'T', 1. ) |
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| 485 | |
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| 486 | |
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[237] | 487 | ! 3. monotonic flux in the i & j direction (paa & pbb) |
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| 488 | ! ---------------------------------------- |
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[3] | 489 | DO jk = 1, jpkm1 |
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| 490 | DO jj = 2, jpjm1 |
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| 491 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[237] | 492 | za = MIN( 1.e0, zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
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| 493 | zb = MIN( 1.e0, zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
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| 494 | zc = 0.5 * ( 1.e0 + SIGN( 1.e0, paa(ji,jj,jk) ) ) |
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| 495 | paa(ji,jj,jk) = paa(ji,jj,jk) * ( zc * za + ( 1.e0 - zc) * zb ) |
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[3] | 496 | |
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[237] | 497 | za = MIN( 1.e0, zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
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| 498 | zb = MIN( 1.e0, zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
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| 499 | zc = 0.5 * ( 1.e0 + SIGN( 1.e0, pbb(ji,jj,jk) ) ) |
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| 500 | pbb(ji,jj,jk) = pbb(ji,jj,jk) * ( zc * za + ( 1.e0 - zc) * zb ) |
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[3] | 501 | END DO |
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| 502 | END DO |
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| 503 | END DO |
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| 504 | |
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| 505 | |
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| 506 | ! monotonic flux in the k direction, i.e. pcc |
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| 507 | ! ------------------------------------------- |
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| 508 | DO jk = 2, jpkm1 |
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| 509 | DO jj = 2, jpjm1 |
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| 510 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[237] | 511 | |
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| 512 | za = MIN( 1., zbetdo(ji,jj,jk), zbetup(ji,jj,jk-1) ) |
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| 513 | zb = MIN( 1., zbetup(ji,jj,jk), zbetdo(ji,jj,jk-1) ) |
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| 514 | zc = 0.5 * ( 1.e0 + SIGN( 1.e0, pcc(ji,jj,jk) ) ) |
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| 515 | pcc(ji,jj,jk) = pcc(ji,jj,jk) * ( zc * za + ( 1.e0 - zc) * zb ) |
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[3] | 516 | END DO |
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| 517 | END DO |
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| 518 | END DO |
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| 519 | |
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[237] | 520 | ! lateral boundary condition on paa, pbb, pcc |
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| 521 | CALL lbc_lnk( paa, 'U', -1. ) ! changed sign |
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| 522 | CALL lbc_lnk( pbb, 'V', -1. ) ! changed sign |
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| 523 | CALL lbc_lnk( pcc, 'W', 1. ) ! NO changed sign |
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[503] | 524 | ! |
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[3] | 525 | END SUBROUTINE nonosc |
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| 526 | |
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| 527 | !!====================================================================== |
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| 528 | END MODULE traadv_tvd |
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