[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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[786] | 6 | !! History : 7.0 ! 95-12 (L. Mortier) Original code |
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| 7 | !! 8.0 ! 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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[503] | 11 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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[786] | 12 | !! NEMO 1.0 ! 04-01 (A. de Miranda, G. Madec, J.M. Molines ): advective bbl |
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| 13 | !! - ! 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 | !! 2.4 ! 08-01 (G. Madec) Merge TRA-TRC |
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[503] | 16 | !!---------------------------------------------------------------------- |
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[3] | 17 | |
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| 18 | !!---------------------------------------------------------------------- |
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[786] | 19 | !! tra_adv_tvd : update the tracer trend with the horizontal and |
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| 20 | !! vertical advection trends using a TVD scheme |
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| 21 | !! nonosc : compute monotonic tracer fluxes by a nonoscillatory algorithm |
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[3] | 22 | !!---------------------------------------------------------------------- |
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| 23 | USE dom_oce ! ocean space and time domain |
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[216] | 24 | USE trdmod ! ocean active tracers trends |
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| 25 | USE trdmod_oce ! ocean variables trends |
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[3] | 26 | USE in_out_manager ! I/O manager |
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[367] | 27 | USE dynspg_oce ! choice/control of key cpp for surface pressure gradient |
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[3] | 28 | USE trabbl ! Advective term of BBL |
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[786] | 29 | USE lib_mpp ! |
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[74] | 30 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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[132] | 31 | USE diaptr ! poleward transport diagnostics |
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[258] | 32 | USE prtctl ! Print control |
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[3] | 33 | |
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| 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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[786] | 37 | PUBLIC tra_adv_tvd ! routine called by traadv.F90 |
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[3] | 38 | |
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| 39 | !! * Substitutions |
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| 40 | # include "domzgr_substitute.h90" |
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| 41 | # include "vectopt_loop_substitute.h90" |
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| 42 | !!---------------------------------------------------------------------- |
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[786] | 43 | !! NEMO/OPA 2.4 , LOCEAN-IPSL (2008) |
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| 44 | !! $Id:$ |
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[503] | 45 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[3] | 46 | !!---------------------------------------------------------------------- |
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| 47 | |
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| 48 | CONTAINS |
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| 49 | |
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[786] | 50 | SUBROUTINE tra_adv_tvd( kt, cdtype, ktra, pun, pvn, pwn, & |
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| 51 | & ptb, ptn, pta ) |
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[3] | 52 | !!---------------------------------------------------------------------- |
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| 53 | !! *** ROUTINE tra_adv_tvd *** |
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| 54 | !! |
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| 55 | !! ** Purpose : Compute the now trend due to total advection of |
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| 56 | !! tracers and add it to the general trend of tracer equations |
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| 57 | !! |
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| 58 | !! ** Method : TVD scheme, i.e. 2nd order centered scheme with |
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| 59 | !! corrected flux (monotonic correction) |
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| 60 | !! note: - this advection scheme needs a leap-frog time scheme |
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| 61 | !! |
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[786] | 62 | !! ** Action : - update pta with the now advective tracer trends |
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[503] | 63 | !! - save the trends in (ztrdt,ztrds) ('key_trdtra') |
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| 64 | !!---------------------------------------------------------------------- |
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[786] | 65 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
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| 66 | CHARACTER(len=3), INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
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| 67 | INTEGER , INTENT(in ) :: ktra ! tracer index |
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| 68 | REAL(wp) , INTENT(in ), DIMENSION(jpi,jpj,jpk) :: pun, pvn, pwn ! 3 ocean velocity components |
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| 69 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk) :: ptb, ptn ! before and now tracer fields |
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| 70 | REAL(wp) , INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pta ! tracer trend |
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[3] | 71 | !! |
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| 72 | INTEGER :: ji, jj, jk ! dummy loop indices |
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[786] | 73 | REAL(wp) :: ztai, ztaj, ztak |
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| 74 | REAL(wp) :: z2dtt, zbtr, zeu, zev ! temporary scalar |
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| 75 | REAL(wp) :: zew, z2 ! temporary scalar |
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| 76 | REAL(wp) :: zfp_ui, zfp_vj, zfp_wk ! " " |
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| 77 | REAL(wp) :: zfm_ui, zfm_vj, zfm_wk ! " " |
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[503] | 78 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zti, ztu, ztv, ztw ! temporary workspace |
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[3] | 79 | !!---------------------------------------------------------------------- |
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| 80 | |
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[786] | 81 | zti(:,:,:) = 0.e0 |
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[408] | 82 | |
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[3] | 83 | IF( kt == nit000 .AND. lwp ) THEN |
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| 84 | WRITE(numout,*) |
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| 85 | WRITE(numout,*) 'tra_adv_tvd : TVD advection scheme' |
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| 86 | WRITE(numout,*) '~~~~~~~~~~~' |
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| 87 | ENDIF |
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| 88 | |
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[503] | 89 | IF( neuler == 0 .AND. kt == nit000 ) THEN ; z2 = 1. |
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| 90 | ELSE ; z2 = 2. |
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[3] | 91 | ENDIF |
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| 92 | |
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| 93 | ! 1. Bottom value : flux set to zero |
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| 94 | ! --------------- |
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[786] | 95 | ztu(:,:,jpk) = 0.e0 ; ztv(:,:,jpk) = 0.e0 |
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| 96 | ztw(:,:,jpk) = 0.e0 ; zti(:,:,jpk) = 0.e0 |
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[3] | 97 | |
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| 98 | |
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| 99 | ! 2. upstream advection with initial mass fluxes & intermediate update |
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| 100 | ! -------------------------------------------------------------------- |
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| 101 | ! upstream tracer flux in the i and j direction |
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| 102 | DO jk = 1, jpkm1 |
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| 103 | DO jj = 1, jpjm1 |
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| 104 | DO ji = 1, fs_jpim1 ! vector opt. |
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[457] | 105 | zeu = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun(ji,jj,jk) |
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| 106 | zev = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn(ji,jj,jk) |
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[3] | 107 | ! upstream scheme |
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| 108 | zfp_ui = zeu + ABS( zeu ) |
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| 109 | zfm_ui = zeu - ABS( zeu ) |
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| 110 | zfp_vj = zev + ABS( zev ) |
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| 111 | zfm_vj = zev - ABS( zev ) |
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[786] | 112 | ztu(ji,jj,jk) = zfp_ui * ptb(ji,jj,jk) + zfm_ui * ptb(ji+1,jj ,jk) |
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| 113 | ztv(ji,jj,jk) = zfp_vj * ptb(ji,jj,jk) + zfm_vj * ptb(ji ,jj+1,jk) |
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[3] | 114 | END DO |
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| 115 | END DO |
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| 116 | END DO |
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| 117 | |
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| 118 | ! upstream tracer flux in the k direction |
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| 119 | ! Surface value |
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[592] | 120 | IF( lk_dynspg_rl .OR. lk_vvl ) THEN ! rigid lid or variable volume: flux set to zero |
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[359] | 121 | ztw(:,:,1) = 0.e0 |
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[457] | 122 | ELSE ! free surface |
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[786] | 123 | ztw(:,:,1) = e1t(:,:) * e2t(:,:) * pwn(:,:,1) * ptb(:,:,1) |
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[3] | 124 | ENDIF |
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| 125 | |
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| 126 | ! Interior value |
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| 127 | DO jk = 2, jpkm1 |
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| 128 | DO jj = 1, jpj |
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| 129 | DO ji = 1, jpi |
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[457] | 130 | zew = 0.5 * e1t(ji,jj) * e2t(ji,jj) * pwn(ji,jj,jk) |
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[3] | 131 | zfp_wk = zew + ABS( zew ) |
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| 132 | zfm_wk = zew - ABS( zew ) |
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[786] | 133 | ztw(ji,jj,jk) = zfp_wk * ptb(ji,jj,jk) + zfm_wk * ptb(ji,jj,jk-1) |
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[3] | 134 | END DO |
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| 135 | END DO |
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| 136 | END DO |
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| 137 | |
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| 138 | ! total advective trend |
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| 139 | DO jk = 1, jpkm1 |
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| 140 | DO jj = 2, jpjm1 |
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| 141 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 142 | zbtr = 1./ ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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[216] | 143 | ! i- j- horizontal & k- vertical advective trends |
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| 144 | ztai = - ( ztu(ji,jj,jk) - ztu(ji-1,jj ,jk ) ) * zbtr |
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| 145 | ztaj = - ( ztv(ji,jj,jk) - ztv(ji ,jj-1,jk ) ) * zbtr |
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| 146 | ztak = - ( ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1) ) * zbtr |
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| 147 | ! total intermediate advective trends |
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| 148 | zti(ji,jj,jk) = ztai + ztaj + ztak |
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[3] | 149 | END DO |
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| 150 | END DO |
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| 151 | END DO |
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| 152 | |
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[786] | 153 | ! Save the horizontal advective trends for diagnostic |
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| 154 | ! ----------------------------------------------------- |
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[503] | 155 | IF( l_trdtra ) THEN |
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[786] | 156 | CALL trd_tra_adv( kt, ktra, jpt_trd_xad, cdtype, ztu, pun, ptn ) |
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| 157 | CALL trd_tra_adv( kt, ktra, jpt_trd_yad, cdtype, ztv, pvn, ptn ) |
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| 158 | CALL trd_tra_adv( kt, ktra, jpt_trd_zad, cdtype, ztw, pwn, ptn ) |
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[216] | 159 | ENDIF |
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| 160 | |
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[3] | 161 | ! update and guess with monotonic sheme |
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| 162 | DO jk = 1, jpkm1 |
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| 163 | z2dtt = z2 * rdttra(jk) |
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| 164 | DO jj = 2, jpjm1 |
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| 165 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[786] | 166 | pta(ji,jj,jk) = pta(ji,jj,jk) + zti(ji,jj,jk) |
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| 167 | zti (ji,jj,jk) = ( ptb(ji,jj,jk) + z2dtt * zti(ji,jj,jk) ) * tmask(ji,jj,jk) |
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[3] | 168 | END DO |
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| 169 | END DO |
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| 170 | END DO |
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| 171 | |
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[786] | 172 | ! Lateral boundary conditions on zti (unchanged sign) |
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[3] | 173 | CALL lbc_lnk( zti, 'T', 1. ) |
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| 174 | |
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| 175 | |
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| 176 | ! 3. antidiffusive flux : high order minus low order |
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| 177 | ! -------------------------------------------------- |
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| 178 | ! antidiffusive flux on i and j |
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| 179 | DO jk = 1, jpkm1 |
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| 180 | DO jj = 1, jpjm1 |
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| 181 | DO ji = 1, fs_jpim1 ! vector opt. |
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[457] | 182 | zeu = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun(ji,jj,jk) |
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| 183 | zev = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn(ji,jj,jk) |
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[786] | 184 | ztu(ji,jj,jk) = zeu * ( ptn(ji,jj,jk) + ptn(ji+1,jj,jk) ) - ztu(ji,jj,jk) |
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| 185 | ztv(ji,jj,jk) = zev * ( ptn(ji,jj,jk) + ptn(ji,jj+1,jk) ) - ztv(ji,jj,jk) |
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[3] | 186 | END DO |
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| 187 | END DO |
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| 188 | END DO |
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| 189 | |
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| 190 | ! antidiffusive flux on k |
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| 191 | ! Surface value |
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[503] | 192 | ztw(:,:,1) = 0.e0 |
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[3] | 193 | |
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| 194 | ! Interior value |
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| 195 | DO jk = 2, jpkm1 |
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| 196 | DO jj = 1, jpj |
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| 197 | DO ji = 1, jpi |
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[457] | 198 | zew = 0.5 * e1t(ji,jj) * e2t(ji,jj) * pwn(ji,jj,jk) |
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[786] | 199 | ztw(ji,jj,jk) = zew * ( ptn(ji,jj,jk) + ptn(ji,jj,jk-1) ) - ztw(ji,jj,jk) |
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[3] | 200 | END DO |
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| 201 | END DO |
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| 202 | END DO |
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| 203 | |
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| 204 | ! Lateral bondary conditions |
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[786] | 205 | CALL lbc_lnk( ztu, 'U', -1. ) |
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| 206 | CALL lbc_lnk( ztv, 'V', -1. ) |
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| 207 | CALL lbc_lnk( ztw, 'W', 1. ) |
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[3] | 208 | |
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| 209 | ! 4. monotonicity algorithm |
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| 210 | ! ------------------------- |
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[786] | 211 | CALL nonosc( ptb, ztu, ztv, ztw, zti, z2 ) |
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[3] | 212 | |
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| 213 | |
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| 214 | ! 5. final trend with corrected fluxes |
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| 215 | ! ------------------------------------ |
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| 216 | DO jk = 1, jpkm1 |
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| 217 | DO jj = 2, jpjm1 |
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[216] | 218 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[3] | 219 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
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[216] | 220 | ! i- j- horizontal & k- vertical advective trends |
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| 221 | ztai = - ( ztu(ji,jj,jk) - ztu(ji-1,jj ,jk )) * zbtr |
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| 222 | ztaj = - ( ztv(ji,jj,jk) - ztv(ji ,jj-1,jk )) * zbtr |
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| 223 | ztak = - ( ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1)) * zbtr |
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| 224 | |
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| 225 | ! add them to the general tracer trends |
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[786] | 226 | pta(ji,jj,jk) = pta(ji,jj,jk) + ztai + ztaj + ztak |
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[3] | 227 | END DO |
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| 228 | END DO |
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| 229 | END DO |
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| 230 | |
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[786] | 231 | !!gm the transport computation is wrong, the upstream part is missing ! |
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| 232 | ! "zonal" mean advective heat and salt transport |
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| 233 | IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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| 234 | IF( ktra == jp_tem) pht_adv(:) = ptr_vj( ztv(:,:,:) ) |
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| 235 | IF( ktra == jp_sal) pst_adv(:) = ptr_vj( ztv(:,:,:) ) |
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| 236 | ENDIF |
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[503] | 237 | |
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[786] | 238 | ! Save the horizontal advective trends for diagnostic |
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| 239 | ! ----------------------------------------------------- |
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[503] | 240 | IF( l_trdtra ) THEN |
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[786] | 241 | CALL trd_tra_adv( kt, ktra, jpt_trd_xad, cdtype, ztu, pun, ptn, cnbpas='bis' ) ! <<< Add to iad trend |
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| 242 | CALL trd_tra_adv( kt, ktra, jpt_trd_yad, cdtype, ztv, pvn, ptn, cnbpas='bis' ) ! <<< Add to jad trend |
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| 243 | CALL trd_tra_adv( kt, ktra, jpt_trd_zad, cdtype, ztw, pwn, ptn, cnbpas='bis' ) ! <<< Add to zad trend |
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[216] | 244 | ENDIF |
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| 245 | |
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[786] | 246 | IF(ln_ctl) CALL prt_ctl( tab3d_1=pta, clinfo1=' tvd - adv: ', mask1=tmask, clinfo3=cdtype ) |
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[503] | 247 | ! |
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[3] | 248 | END SUBROUTINE tra_adv_tvd |
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| 249 | |
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| 250 | |
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| 251 | SUBROUTINE nonosc( pbef, paa, pbb, pcc, paft, prdt ) |
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| 252 | !!--------------------------------------------------------------------- |
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| 253 | !! *** ROUTINE nonosc *** |
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| 254 | !! |
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| 255 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
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| 256 | !! scheme and the before field by a nonoscillatory algorithm |
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| 257 | !! |
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| 258 | !! ** Method : ... ??? |
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| 259 | !! warning : pbef and paft must be masked, but the boundaries |
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| 260 | !! conditions on the fluxes are not necessary zalezak (1979) |
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| 261 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
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| 262 | !! in-space based differencing for fluid |
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| 263 | !!---------------------------------------------------------------------- |
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[786] | 264 | REAL(wp), INTENT(in ) :: prdt ! ??? |
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| 265 | REAL(wp), INTENT(inout), DIMENSION (jpi,jpj,jpk) :: pbef, paft ! before & after field |
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| 266 | REAL(wp), INTENT(inout), DIMENSION (jpi,jpj,jpk) :: paa, pbb, pcc ! monotonic flux in the 3 directions |
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[503] | 267 | !! |
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[3] | 268 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 269 | INTEGER :: ikm1 |
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| 270 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: zbetup, zbetdo |
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| 271 | REAL(wp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn, z2dtt |
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| 272 | !!---------------------------------------------------------------------- |
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| 273 | |
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| 274 | zbig = 1.e+40 |
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| 275 | zrtrn = 1.e-15 |
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[457] | 276 | zbetup(:,:,:) = 0.e0 ; zbetdo(:,:,:) = 0.e0 |
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[3] | 277 | |
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| 278 | ! Search local extrema |
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| 279 | ! -------------------- |
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| 280 | ! large negative value (-zbig) inside land |
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[237] | 281 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) - zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 282 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) - zbig * ( 1.e0 - tmask(:,:,:) ) |
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[3] | 283 | ! search maximum in neighbourhood |
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| 284 | DO jk = 1, jpkm1 |
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| 285 | ikm1 = MAX(jk-1,1) |
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| 286 | DO jj = 2, jpjm1 |
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| 287 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 288 | zbetup(ji,jj,jk) = MAX( pbef(ji ,jj ,jk ), paft(ji ,jj ,jk ), & |
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| 289 | & pbef(ji-1,jj ,jk ), pbef(ji+1,jj ,jk ), & |
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| 290 | & paft(ji-1,jj ,jk ), paft(ji+1,jj ,jk ), & |
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| 291 | & pbef(ji ,jj-1,jk ), pbef(ji ,jj+1,jk ), & |
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| 292 | & paft(ji ,jj-1,jk ), paft(ji ,jj+1,jk ), & |
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| 293 | & pbef(ji ,jj ,ikm1), pbef(ji ,jj ,jk+1), & |
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| 294 | & paft(ji ,jj ,ikm1), paft(ji ,jj ,jk+1) ) |
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| 295 | END DO |
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| 296 | END DO |
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| 297 | END DO |
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| 298 | ! large positive value (+zbig) inside land |
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[237] | 299 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) + zbig * ( 1.e0 - tmask(:,:,:) ) |
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| 300 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) + zbig * ( 1.e0 - tmask(:,:,:) ) |
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[3] | 301 | ! search minimum in neighbourhood |
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| 302 | DO jk = 1, jpkm1 |
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| 303 | ikm1 = MAX(jk-1,1) |
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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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| 306 | zbetdo(ji,jj,jk) = MIN( pbef(ji ,jj ,jk ), paft(ji ,jj ,jk ), & |
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| 307 | & pbef(ji-1,jj ,jk ), pbef(ji+1,jj ,jk ), & |
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| 308 | & paft(ji-1,jj ,jk ), paft(ji+1,jj ,jk ), & |
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| 309 | & pbef(ji ,jj-1,jk ), pbef(ji ,jj+1,jk ), & |
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| 310 | & paft(ji ,jj-1,jk ), paft(ji ,jj+1,jk ), & |
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| 311 | & pbef(ji ,jj ,ikm1), pbef(ji ,jj ,jk+1), & |
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| 312 | & paft(ji ,jj ,ikm1), paft(ji ,jj ,jk+1) ) |
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| 313 | END DO |
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| 314 | END DO |
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| 315 | END DO |
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| 316 | |
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| 317 | ! restore masked values to zero |
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| 318 | pbef(:,:,:) = pbef(:,:,:) * tmask(:,:,:) |
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| 319 | paft(:,:,:) = paft(:,:,:) * tmask(:,:,:) |
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| 320 | |
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| 321 | |
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| 322 | ! 2. Positive and negative part of fluxes and beta terms |
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| 323 | ! ------------------------------------------------------ |
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| 324 | |
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| 325 | DO jk = 1, jpkm1 |
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| 326 | z2dtt = prdt * rdttra(jk) |
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| 327 | DO jj = 2, jpjm1 |
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| 328 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 329 | ! positive & negative part of the flux |
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| 330 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
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| 331 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
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| 332 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
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| 333 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
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| 334 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
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| 335 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
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| 336 | ! up & down beta terms |
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| 337 | zbt = e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) / z2dtt |
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| 338 | zbetup(ji,jj,jk) = ( zbetup(ji,jj,jk) - paft(ji,jj,jk) ) / (zpos+zrtrn) * zbt |
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| 339 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zbetdo(ji,jj,jk) ) / (zneg+zrtrn) * zbt |
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| 340 | END DO |
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| 341 | END DO |
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| 342 | END DO |
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| 343 | |
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| 344 | ! lateral boundary condition on zbetup & zbetdo (unchanged sign) |
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| 345 | CALL lbc_lnk( zbetup, 'T', 1. ) |
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| 346 | CALL lbc_lnk( zbetdo, 'T', 1. ) |
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| 347 | |
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| 348 | |
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[237] | 349 | ! 3. monotonic flux in the i & j direction (paa & pbb) |
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| 350 | ! ---------------------------------------- |
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[3] | 351 | DO jk = 1, jpkm1 |
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| 352 | DO jj = 2, jpjm1 |
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| 353 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[237] | 354 | za = MIN( 1.e0, zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
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| 355 | zb = MIN( 1.e0, zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
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| 356 | zc = 0.5 * ( 1.e0 + SIGN( 1.e0, paa(ji,jj,jk) ) ) |
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| 357 | paa(ji,jj,jk) = paa(ji,jj,jk) * ( zc * za + ( 1.e0 - zc) * zb ) |
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[3] | 358 | |
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[237] | 359 | za = MIN( 1.e0, zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
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| 360 | zb = MIN( 1.e0, zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
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| 361 | zc = 0.5 * ( 1.e0 + SIGN( 1.e0, pbb(ji,jj,jk) ) ) |
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| 362 | pbb(ji,jj,jk) = pbb(ji,jj,jk) * ( zc * za + ( 1.e0 - zc) * zb ) |
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[3] | 363 | END DO |
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| 364 | END DO |
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| 365 | END DO |
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| 366 | |
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| 367 | |
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| 368 | ! monotonic flux in the k direction, i.e. pcc |
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| 369 | ! ------------------------------------------- |
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| 370 | DO jk = 2, jpkm1 |
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| 371 | DO jj = 2, jpjm1 |
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| 372 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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[237] | 373 | |
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| 374 | za = MIN( 1., zbetdo(ji,jj,jk), zbetup(ji,jj,jk-1) ) |
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| 375 | zb = MIN( 1., zbetup(ji,jj,jk), zbetdo(ji,jj,jk-1) ) |
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| 376 | zc = 0.5 * ( 1.e0 + SIGN( 1.e0, pcc(ji,jj,jk) ) ) |
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| 377 | pcc(ji,jj,jk) = pcc(ji,jj,jk) * ( zc * za + ( 1.e0 - zc) * zb ) |
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[3] | 378 | END DO |
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| 379 | END DO |
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| 380 | END DO |
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| 381 | |
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[237] | 382 | ! lateral boundary condition on paa, pbb, pcc |
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| 383 | CALL lbc_lnk( paa, 'U', -1. ) ! changed sign |
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| 384 | CALL lbc_lnk( pbb, 'V', -1. ) ! changed sign |
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| 385 | CALL lbc_lnk( pcc, 'W', 1. ) ! NO changed sign |
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[503] | 386 | ! |
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[3] | 387 | END SUBROUTINE nonosc |
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| 388 | |
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| 389 | !!====================================================================== |
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| 390 | END MODULE traadv_tvd |
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