| 1 | MODULE traadv_cen2_tam |
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| 2 | #if defined key_tam |
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| 3 | !!====================================================================== |
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| 4 | !! *** MODULE traadv_cen2_tam *** |
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| 5 | !! Ocean active tracers: horizontal & vertical advective trend |
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| 6 | !! Tangent and Adjoint module |
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| 7 | !!====================================================================== |
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| 8 | !! History of the direct module: |
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| 9 | !! 8.2 ! 01-08 (G. Madec, E. Durand) trahad+trazad=traadv |
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| 10 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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| 11 | !! 9.0 ! 04-08 (C. Talandier) New trends organization |
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| 12 | !! " " ! 05-11 (V. Garnier) Surface pressure gradient organization |
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| 13 | !! " " ! 06-04 (R. Benshila, G. Madec) Step reorganization |
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| 14 | !! " " ! 06-07 (G. madec) add ups_orca_set routine |
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| 15 | !! History of the T&A module |
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| 16 | !! 9.0 ! 08-12 (A. Vidard) original version |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | |
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| 19 | !!---------------------------------------------------------------------- |
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| 20 | !! tra_adv_cen2 : update the tracer trend with the horizontal and |
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| 21 | !! vertical advection trends using a seconder order |
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| 22 | !! ups_orca_set : allow mixed upstream/centered scheme in specific |
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| 23 | !! area (set for orca 2 and 4 only) |
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| 24 | !!---------------------------------------------------------------------- |
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| 25 | USE par_kind , ONLY: & ! Precision variables |
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| 26 | & wp |
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| 27 | USE par_oce , ONLY: & ! Ocean space and time domain variables |
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| 28 | & jpi, & |
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| 29 | & jpj, & |
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| 30 | & jpk, & |
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| 31 | & jpim1, & |
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| 32 | & jpjm1, & |
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| 33 | & jpkm1, & |
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| 34 | & jpiglo, & |
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| 35 | & jp_cfg |
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| 36 | USE oce , ONLY: & ! ocean dynamics and active tracers |
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| 37 | & un, & |
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| 38 | & vn, & |
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| 39 | & tb, sb, & |
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| 40 | & wn, & |
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| 41 | & tn, & |
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| 42 | & sn |
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| 43 | USE oce_tam , ONLY: & ! ocean dynamics and active tracers |
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| 44 | & un_tl, & |
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| 45 | & vn_tl, & |
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| 46 | & tb_tl, sb_tl, & |
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| 47 | & wn_tl, & |
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| 48 | & tn_tl, & |
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| 49 | & sn_tl, & |
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| 50 | & ta_tl, & |
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| 51 | & sa_tl, & |
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| 52 | & tn_ad, & |
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| 53 | & sn_ad, & |
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| 54 | & ta_ad, & |
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| 55 | & sa_ad |
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| 56 | USE dom_oce , ONLY: & ! ocean space and time domain |
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| 57 | & tmask, & |
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| 58 | & e1t, & |
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| 59 | & e2t, & |
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| 60 | & e2u, & |
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| 61 | & e1v, & |
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| 62 | # if defined key_vvl |
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| 63 | & e3t_1, & |
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| 64 | # else |
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| 65 | # if defined key_zco |
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| 66 | & e3t_0, & |
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| 67 | # else |
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| 68 | & e3t, & |
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| 69 | # endif |
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| 70 | # endif |
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| 71 | # if defined key_zco |
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| 72 | & e3t_0, & |
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| 73 | # else |
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| 74 | & e3u, & |
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| 75 | & e3v, & |
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| 76 | # endif |
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| 77 | & lk_vvl, & |
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| 78 | & tmask, & |
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| 79 | & mig, & |
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| 80 | & mjg, & |
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| 81 | & nldi, & |
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| 82 | & nldj, & |
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| 83 | & nlei, & |
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| 84 | & nlej |
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| 85 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
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| 86 | & grid_random |
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| 87 | USE dotprodfld , ONLY: & ! Computes dot product for 3D and 2D fields |
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| 88 | & dot_product |
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| 89 | |
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| 90 | ! USE sbc_oce ! surface boundary condition: ocean |
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| 91 | USE dynspg_oce , ONLY: & ! choice/control of key cpp for surface pressure gradient |
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| 92 | & lk_dynspg_rl |
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| 93 | ! USE eosbn2 ! equation of state |
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| 94 | ! USE trdmod ! ocean active tracers trends |
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| 95 | ! USE closea ! closed sea |
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| 96 | ! USE trabbl ! advective term in the BBL |
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| 97 | ! USE sbcmod ! surface Boundary Condition |
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| 98 | ! USE sbcrnf ! river runoffs |
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| 99 | USE in_out_manager, ONLY: & ! I/O manager |
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| 100 | & lwp, & |
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| 101 | & numout, & |
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| 102 | & nitend, & |
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| 103 | & nit000 |
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| 104 | ! USE lib_mpp |
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| 105 | ! USE lbclnk ! ocean lateral boundary condition (or mpp link) |
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| 106 | ! USE diaptr ! poleward transport diagnostics |
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| 107 | ! USE prtctl ! Print control |
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| 108 | USE zdf_oce , ONLY: & ! ocean vertical physics |
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| 109 | & avmb, & |
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| 110 | & avtb |
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| 111 | USE tstool_tam , ONLY: & |
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| 112 | & prntst_adj, & ! |
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| 113 | & prntst_tlm, & ! |
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| 114 | & stdu, & ! stdev for u-velocity |
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| 115 | & stdv, & ! stdev for v-velocity |
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| 116 | & stdw, & ! stdev for w-velocity |
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| 117 | & stdt, & ! stdev for temperature |
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| 118 | & stds ! salinity |
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| 119 | USE paresp , ONLY: & |
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| 120 | & wesp_t, & |
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| 121 | & wesp_s |
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| 122 | |
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| 123 | IMPLICIT NONE |
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| 124 | PRIVATE |
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| 125 | |
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| 126 | PUBLIC tra_adv_cen2_tan ! routine called by traadv_tam.F90 |
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| 127 | PUBLIC tra_adv_cen2_adj ! routine called by traadv_tam.F90 |
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| 128 | PUBLIC tra_adv_cen2_adj_tst! routine called by tst.F90 |
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| 129 | PUBLIC tra_adv_cen2_tlm_tst! routine called by tamtst.F90 |
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| 130 | |
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| 131 | REAL(wp), DIMENSION(jpi,jpj) :: & |
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| 132 | & btr2 ! inverse of T-point surface [1/(e1t*e2t)] |
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| 133 | |
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| 134 | !! * Substitutions |
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| 135 | # include "domzgr_substitute.h90" |
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| 136 | # include "vectopt_loop_substitute.h90" |
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| 137 | !!---------------------------------------------------------------------- |
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| 138 | !! OPA 9.0 , LOCEAN-IPSL (2006) |
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| 139 | !! $Id: traadv_cen2.F90 1201 2008-09-24 13:24:21Z rblod $ |
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| 140 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 141 | !!---------------------------------------------------------------------- |
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| 142 | |
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| 143 | CONTAINS |
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| 144 | |
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| 145 | SUBROUTINE tra_adv_cen2_tan( kt, pun, pvn, pwn, pun_tl, pvn_tl, pwn_tl ) |
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| 146 | !!---------------------------------------------------------------------- |
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| 147 | !! *** ROUTINE tra_adv_cen2_tan *** |
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| 148 | !! |
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| 149 | !! ** Purpose of the direct routine: |
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| 150 | !! Compute the now trend due to the advection of tracers |
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| 151 | !! and add it to the general trend of passive tracer equations. |
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| 152 | !! |
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| 153 | !! ** Method : The advection is evaluated by a second order centered |
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| 154 | !! scheme using now fields (leap-frog scheme). In specific areas |
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| 155 | !! (vicinity of major river mouths, some straits, or where tn is |
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| 156 | !! approaching the freezing point) it is mixed with an upstream |
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| 157 | !! scheme for stability reasons. |
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| 158 | !! Part 0 : compute the upstream / centered flag |
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| 159 | !! (3D array, zind, defined at T-point (0<zind<1)) |
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| 160 | !! Part I : horizontal advection |
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| 161 | !! * centered flux: |
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| 162 | !! zcenu = e2u*e3u un mi(tn) |
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| 163 | !! zcenv = e1v*e3v vn mj(tn) |
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| 164 | !! * upstream flux: |
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| 165 | !! zupsu = e2u*e3u un (tb(i) or tb(i-1) ) [un>0 or <0] |
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| 166 | !! zupsv = e1v*e3v vn (tb(j) or tb(j-1) ) [vn>0 or <0] |
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| 167 | !! * mixed upstream / centered horizontal advection scheme |
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| 168 | !! zcofi = max(zind(i+1), zind(i)) |
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| 169 | !! zcofj = max(zind(j+1), zind(j)) |
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| 170 | !! zwx = zcofi * zupsu + (1-zcofi) * zcenu |
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| 171 | !! zwy = zcofj * zupsv + (1-zcofj) * zcenv |
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| 172 | !! * horizontal advective trend (divergence of the fluxes) |
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| 173 | !! zta = 1/(e1t*e2t*e3t) { di-1[zwx] + dj-1[zwy] } |
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| 174 | !! * Add this trend now to the general trend of tracer (ta,sa): |
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| 175 | !! (ta,sa) = (ta,sa) + ( zta , zsa ) |
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| 176 | !! * trend diagnostic ('key_trdtra' defined): the trend is |
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| 177 | !! saved for diagnostics. The trends saved is expressed as |
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| 178 | !! Uh.gradh(T), i.e. |
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| 179 | !! save trend = zta + tn divn |
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| 180 | !! In addition, the advective trend in the two horizontal direc- |
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| 181 | !! tion is also re-computed as Uh gradh(T). Indeed hadt+tn divn is |
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| 182 | !! equal to (in s-coordinates, and similarly in z-coord.): |
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| 183 | !! zta+tn*divn=1/(e1t*e2t*e3t) { mi-1( e2u*e3u un di[tn] ) |
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| 184 | !! +mj-1( e1v*e3v vn mj[tn] ) } |
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| 185 | !! NB:in z-coordinate - full step (ln_zco=T) e3u=e3v=e3t, so |
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| 186 | !! they vanish from the expression of the flux and divergence. |
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| 187 | !! |
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| 188 | !! Part II : vertical advection |
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| 189 | !! For temperature (idem for salinity) the advective trend is com- |
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| 190 | !! puted as follows : |
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| 191 | !! zta = 1/e3t dk+1[ zwz ] |
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| 192 | !! where the vertical advective flux, zwz, is given by : |
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| 193 | !! zwz = zcofk * zupst + (1-zcofk) * zcent |
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| 194 | !! with |
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| 195 | !! zupsv = upstream flux = wn * (tb(k) or tb(k-1) ) [wn>0 or <0] |
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| 196 | !! zcenu = centered flux = wn * mk(tn) |
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| 197 | !! The surface boundary condition is : |
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| 198 | !! rigid-lid (lk_dynspg_frd = T) : zero advective flux |
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| 199 | !! free-surf (lk_dynspg_fsc = T) : wn(:,:,1) * tn(:,:,1) |
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| 200 | !! Add this trend now to the general trend of tracer (ta,sa): |
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| 201 | !! (ta,sa) = (ta,sa) + ( zta , zsa ) |
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| 202 | !! Trend diagnostic ('key_trdtra' defined): the trend is |
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| 203 | !! saved for diagnostics. The trends saved is expressed as : |
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| 204 | !! save trend = w.gradz(T) = zta - tn divn. |
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| 205 | !! |
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| 206 | !! ** Action : - update (ta,sa) with the now advective tracer trends |
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| 207 | !! - save trends in (ztrdt,ztrds) ('key_trdtra') |
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| 208 | !!---------------------------------------------------------------------- |
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| 209 | USE oce_tam, ONLY : zwxtl => ua_tl ! use ua as workspace |
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| 210 | USE oce_tam, ONLY : zwytl => va_tl ! use va as workspace |
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| 211 | !! |
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| 212 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 213 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun_tl ! ocean velocity u-component |
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| 214 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pvn_tl ! ocean velocity v-component |
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| 215 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pwn_tl ! ocean velocity w-component |
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| 216 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun ! ocean velocity u-component |
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| 217 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pvn ! ocean velocity v-component |
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| 218 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pwn ! ocean velocity w-component |
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| 219 | !! |
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| 220 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 221 | REAL(wp) :: ztatl, zsatl, zbtr, zhw, zhwtl, & ! temporary scalars |
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| 222 | & ze3tr, zfui , zfuitl , & ! " " |
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| 223 | & zfvj , zfvjtl ! " " |
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| 224 | REAL(wp) :: zice ! - - |
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| 225 | REAL(wp), DIMENSION(jpi,jpj) :: ztfreez ! 2D workspace |
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| 226 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwwtl, zwztl ! 3D workspace |
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| 227 | !!---------------------------------------------------------------------- |
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| 228 | IF( kt == nit000 ) THEN |
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| 229 | IF(lwp) WRITE(numout,*) |
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| 230 | IF(lwp) WRITE(numout,*) 'tra_adv_cen2_tam : 2nd order centered advection scheme' |
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| 231 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ Vector optimization case' |
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| 232 | IF(lwp) WRITE(numout,*) |
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| 233 | ! |
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| 234 | ! |
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| 235 | btr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) ! inverse of T-point surface |
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| 236 | IF ( jp_cfg == 2 ) THEN |
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| 237 | ! Increase the background in the surface layers |
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| 238 | avmb(1) = 10. * avmb(1) ; avtb(1) = 10. * avtb(1) |
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| 239 | avmb(2) = 10. * avmb(2) ; avtb(2) = 10. * avtb(2) |
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| 240 | avmb(3) = 5. * avmb(3) ; avtb(3) = 5. * avtb(3) |
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| 241 | avmb(4) = 2.5 * avmb(4) ; avtb(4) = 2.5 * avtb(4) |
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| 242 | ENDIF |
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| 243 | ENDIF |
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| 244 | |
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| 245 | ! I. Horizontal advective fluxes |
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| 246 | ! ------------------------------ |
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| 247 | ! Second order centered tracer flux at u and v-points |
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| 248 | ! ----------------------------------------------------- |
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| 249 | ! ! =============== |
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| 250 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 251 | ! ! =============== |
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| 252 | DO jj = 1, jpjm1 |
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| 253 | DO ji = 1, fs_jpim1 ! vector opt. |
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| 254 | ! volume fluxes * 1/2 |
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| 255 | #if defined key_zco |
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| 256 | zfuitl = 0.5 * e2u(ji,jj) * pun_tl(ji,jj,jk) |
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| 257 | zfvjtl = 0.5 * e1v(ji,jj) * pvn_tl(ji,jj,jk) |
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| 258 | zfui = 0.5 * e2u(ji,jj) * pun(ji,jj,jk) |
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| 259 | zfvj = 0.5 * e1v(ji,jj) * pvn(ji,jj,jk) |
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| 260 | #else |
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| 261 | zfuitl = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun_tl(ji,jj,jk) |
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| 262 | zfvjtl = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn_tl(ji,jj,jk) |
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| 263 | zfui = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun(ji,jj,jk) |
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| 264 | zfvj = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn(ji,jj,jk) |
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| 265 | #endif |
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| 266 | ! centered scheme |
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| 267 | zwxtl(ji,jj,jk) = zfuitl * ( tn(ji,jj,jk) + tn(ji+1,jj,jk) ) & |
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| 268 | & + zfui * ( tn_tl(ji,jj,jk) + tn_tl(ji+1,jj,jk) ) |
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| 269 | zwytl(ji,jj,jk) = zfvjtl * ( tn(ji,jj,jk) + tn(ji,jj+1,jk) ) & |
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| 270 | & + zfvj * ( tn_tl(ji,jj,jk) + tn_tl(ji,jj+1,jk) ) |
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| 271 | zwwtl(ji,jj,jk) = zfuitl * ( sn(ji,jj,jk) + sn(ji+1,jj,jk) ) & |
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| 272 | & + zfui * ( sn_tl(ji,jj,jk) + sn_tl(ji+1,jj,jk) ) |
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| 273 | zwztl(ji,jj,jk) = zfvjtl * ( sn(ji,jj,jk) + sn(ji,jj+1,jk) ) & |
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| 274 | & + zfvj * ( sn_tl(ji,jj,jk) + sn_tl(ji,jj+1,jk) ) |
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| 275 | END DO |
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| 276 | END DO |
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| 277 | |
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| 278 | ! Tracer flux divergence at t-point added to the general trend |
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| 279 | ! -------------------------------------------------------------- |
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| 280 | DO jj = 2, jpjm1 |
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| 281 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 282 | #if defined key_zco |
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| 283 | zbtr = btr2(ji,jj) |
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| 284 | #else |
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| 285 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
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| 286 | #endif |
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| 287 | ! horizontal advective trends |
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| 288 | ztatl = - zbtr * ( zwxtl(ji,jj,jk) - zwxtl(ji-1,jj ,jk) & |
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| 289 | & + zwytl(ji,jj,jk) - zwytl(ji ,jj-1,jk) ) |
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| 290 | zsatl = - zbtr * ( zwwtl(ji,jj,jk) - zwwtl(ji-1,jj ,jk) & |
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| 291 | & + zwztl(ji,jj,jk) - zwztl(ji ,jj-1,jk) ) |
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| 292 | ! add it to the general tracer trends |
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| 293 | ta_tl(ji,jj,jk) = ta_tl(ji,jj,jk) + ztatl |
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| 294 | sa_tl(ji,jj,jk) = sa_tl(ji,jj,jk) + zsatl |
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| 295 | END DO |
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| 296 | END DO |
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| 297 | ! ! =============== |
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| 298 | END DO ! End of slab |
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| 299 | ! ! =============== |
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| 300 | |
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| 301 | ! "zonal" mean advective heat and salt transport |
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| 302 | ! ---------------------------------------------- |
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| 303 | |
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| 304 | ! IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
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| 305 | ! IF( lk_zco ) THEN |
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| 306 | ! DO jk = 1, jpkm1 |
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| 307 | ! DO jj = 2, jpjm1 |
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| 308 | ! DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 309 | ! zwytl(ji,jj,jk) = zwytl(ji,jj,jk) * fse3v(ji,jj,jk) |
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| 310 | ! zwztl(ji,jj,jk) = zwztl(ji,jj,jk) * fse3v(ji,jj,jk) |
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| 311 | ! END DO |
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| 312 | ! END DO |
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| 313 | ! END DO |
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| 314 | ! ENDIF |
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| 315 | ! pht_adv(:) = ptr_vj( zwy(:,:,:) ) |
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| 316 | ! pst_adv(:) = ptr_vj( zwz(:,:,:) ) |
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| 317 | ! ENDIF |
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| 318 | |
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| 319 | ! II. Vertical advection |
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| 320 | ! ---------------------- |
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| 321 | |
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| 322 | ! Bottom value : flux set to zero |
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| 323 | zwxtl(:,:,jpk) = 0.e0 ; zwytl(:,:,jpk) = 0.e0 |
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| 324 | |
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| 325 | ! Surface value |
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| 326 | IF( lk_dynspg_rl .OR. lk_vvl ) THEN |
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| 327 | ! rigid lid or variable volume: flux set to zero |
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| 328 | zwxtl(:,:, 1 ) = 0.e0 ; zwytl(:,:, 1 ) = 0.e0 |
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| 329 | ELSE |
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| 330 | ! free surface |
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| 331 | zwxtl(:,:, 1 ) = pwn_tl(:,:,1) * tn(:,:,1) + pwn(:,:,1) * tn_tl(:,:,1) |
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| 332 | zwytl(:,:, 1 ) = pwn_tl(:,:,1) * sn(:,:,1) + pwn(:,:,1) * sn_tl(:,:,1) |
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| 333 | ENDIF |
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| 334 | |
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| 335 | ! 1. Vertical advective fluxes |
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| 336 | ! ---------------------------- |
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| 337 | ! Second order centered tracer flux at w-point |
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| 338 | DO jk = 2, jpk |
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| 339 | DO jj = 2, jpjm1 |
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| 340 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 341 | ! velocity * 1/2 |
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| 342 | zhwtl = 0.5 * pwn_tl(ji,jj,jk) |
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| 343 | zhw = 0.5 * pwn( ji,jj,jk) |
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| 344 | ! centered scheme |
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| 345 | zwxtl(ji,jj,jk) = zhwtl * ( tn( ji,jj,jk) + tn( ji,jj,jk-1) ) & |
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| 346 | & + zhw * ( tn_tl(ji,jj,jk) + tn_tl(ji,jj,jk-1) ) |
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| 347 | zwytl(ji,jj,jk) = zhwtl * ( sn( ji,jj,jk) + sn( ji,jj,jk-1) ) & |
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| 348 | & + zhw * ( sn_tl(ji,jj,jk) + sn_tl(ji,jj,jk-1) ) |
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| 349 | END DO |
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| 350 | END DO |
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| 351 | END DO |
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| 352 | |
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| 353 | ! 2. Tracer flux divergence at t-point added to the general trend |
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| 354 | ! ------------------------- |
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| 355 | DO jk = 1, jpkm1 |
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| 356 | DO jj = 2, jpjm1 |
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| 357 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 358 | ze3tr = 1. / fse3t(ji,jj,jk) |
|---|
| 359 | ! vertical advective trends |
|---|
| 360 | ztatl = - ze3tr * ( zwxtl(ji,jj,jk) - zwxtl(ji,jj,jk+1) ) |
|---|
| 361 | zsatl = - ze3tr * ( zwytl(ji,jj,jk) - zwytl(ji,jj,jk+1) ) |
|---|
| 362 | ! add it to the general tracer trends |
|---|
| 363 | ta_tl(ji,jj,jk) = ta_tl(ji,jj,jk) + ztatl |
|---|
| 364 | sa_tl(ji,jj,jk) = sa_tl(ji,jj,jk) + zsatl |
|---|
| 365 | END DO |
|---|
| 366 | END DO |
|---|
| 367 | END DO |
|---|
| 368 | |
|---|
| 369 | |
|---|
| 370 | ! |
|---|
| 371 | END SUBROUTINE tra_adv_cen2_tan |
|---|
| 372 | |
|---|
| 373 | SUBROUTINE tra_adv_cen2_adj( kt, pun, pvn, pwn, pun_ad, pvn_ad, pwn_ad ) |
|---|
| 374 | !!---------------------------------------------------------------------- |
|---|
| 375 | !! *** ROUTINE tra_adv_cen2_adj *** |
|---|
| 376 | !! |
|---|
| 377 | !! ** Purpose of the direct routine: |
|---|
| 378 | !! Compute the now trend due to the advection of tracers |
|---|
| 379 | !! and add it to the general trend of passive tracer equations. |
|---|
| 380 | !! |
|---|
| 381 | !! ** Method : The advection is evaluated by a second order centered |
|---|
| 382 | !! scheme using now fields (leap-frog scheme). In specific areas |
|---|
| 383 | !! (vicinity of major river mouths, some straits, or where tn is |
|---|
| 384 | !! approaching the freezing point) it is mixed with an upstream |
|---|
| 385 | !! scheme for stability reasons. |
|---|
| 386 | !! Part 0 : compute the upstream / centered flag |
|---|
| 387 | !! (3D array, zind, defined at T-point (0<zind<1)) |
|---|
| 388 | !! Part I : horizontal advection |
|---|
| 389 | !! * centered flux: |
|---|
| 390 | !! zcenu = e2u*e3u un mi(tn) |
|---|
| 391 | !! zcenv = e1v*e3v vn mj(tn) |
|---|
| 392 | !! * upstream flux: |
|---|
| 393 | !! zupsu = e2u*e3u un (tb(i) or tb(i-1) ) [un>0 or <0] |
|---|
| 394 | !! zupsv = e1v*e3v vn (tb(j) or tb(j-1) ) [vn>0 or <0] |
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| 395 | !! * mixed upstream / centered horizontal advection scheme |
|---|
| 396 | !! zcofi = max(zind(i+1), zind(i)) |
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| 397 | !! zcofj = max(zind(j+1), zind(j)) |
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| 398 | !! zwx = zcofi * zupsu + (1-zcofi) * zcenu |
|---|
| 399 | !! zwy = zcofj * zupsv + (1-zcofj) * zcenv |
|---|
| 400 | !! * horizontal advective trend (divergence of the fluxes) |
|---|
| 401 | !! zta = 1/(e1t*e2t*e3t) { di-1[zwx] + dj-1[zwy] } |
|---|
| 402 | !! * Add this trend now to the general trend of tracer (ta,sa): |
|---|
| 403 | !! (ta,sa) = (ta,sa) + ( zta , zsa ) |
|---|
| 404 | !! * trend diagnostic ('key_trdtra' defined): the trend is |
|---|
| 405 | !! saved for diagnostics. The trends saved is expressed as |
|---|
| 406 | !! Uh.gradh(T), i.e. |
|---|
| 407 | !! save trend = zta + tn divn |
|---|
| 408 | !! In addition, the advective trend in the two horizontal direc- |
|---|
| 409 | !! tion is also re-computed as Uh gradh(T). Indeed hadt+tn divn is |
|---|
| 410 | !! equal to (in s-coordinates, and similarly in z-coord.): |
|---|
| 411 | !! zta+tn*divn=1/(e1t*e2t*e3t) { mi-1( e2u*e3u un di[tn] ) |
|---|
| 412 | !! +mj-1( e1v*e3v vn mj[tn] ) } |
|---|
| 413 | !! NB:in z-coordinate - full step (ln_zco=T) e3u=e3v=e3t, so |
|---|
| 414 | !! they vanish from the expression of the flux and divergence. |
|---|
| 415 | !! |
|---|
| 416 | !! Part II : vertical advection |
|---|
| 417 | !! For temperature (idem for salinity) the advective trend is com- |
|---|
| 418 | !! puted as follows : |
|---|
| 419 | !! zta = 1/e3t dk+1[ zwz ] |
|---|
| 420 | !! where the vertical advective flux, zwz, is given by : |
|---|
| 421 | !! zwz = zcofk * zupst + (1-zcofk) * zcent |
|---|
| 422 | !! with |
|---|
| 423 | !! zupsv = upstream flux = wn * (tb(k) or tb(k-1) ) [wn>0 or <0] |
|---|
| 424 | !! zcenu = centered flux = wn * mk(tn) |
|---|
| 425 | !! The surface boundary condition is : |
|---|
| 426 | !! rigid-lid (lk_dynspg_frd = T) : zero advective flux |
|---|
| 427 | !! free-surf (lk_dynspg_fsc = T) : wn(:,:,1) * tn(:,:,1) |
|---|
| 428 | !! Add this trend now to the general trend of tracer (ta,sa): |
|---|
| 429 | !! (ta,sa) = (ta,sa) + ( zta , zsa ) |
|---|
| 430 | !! Trend diagnostic ('key_trdtra' defined): the trend is |
|---|
| 431 | !! saved for diagnostics. The trends saved is expressed as : |
|---|
| 432 | !! save trend = w.gradz(T) = zta - tn divn. |
|---|
| 433 | !! |
|---|
| 434 | !! ** Action : - update (ta,sa) with the now advective tracer trends |
|---|
| 435 | !! - save trends in (ztrdt,ztrds) ('key_trdtra') |
|---|
| 436 | !!---------------------------------------------------------------------- |
|---|
| 437 | USE oce_tam, ONLY : zwxad => ua_ad ! use ua as workspace |
|---|
| 438 | USE oce_tam, ONLY : zwyad => va_ad ! use va as workspace |
|---|
| 439 | !! |
|---|
| 440 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
|---|
| 441 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pun_ad ! ocean velocity u-component |
|---|
| 442 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pvn_ad ! ocean velocity v-component |
|---|
| 443 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pwn_ad ! ocean velocity w-component |
|---|
| 444 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pun ! ocean velocity u-component |
|---|
| 445 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pvn ! ocean velocity v-component |
|---|
| 446 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: pwn ! ocean velocity w-component |
|---|
| 447 | !! |
|---|
| 448 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 449 | REAL(wp) :: ztaad, zsaad, zbtr, zhw, zhwad, & ! temporary scalars |
|---|
| 450 | & ze3tr, zfui , zfuiad , & ! " " |
|---|
| 451 | & zfvj , zfvjad ! " " |
|---|
| 452 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwwad, zwzad ! 3D workspace |
|---|
| 453 | !!---------------------------------------------------------------------- |
|---|
| 454 | ztaad = 0.0_wp ; zsaad = 0.0_wp ; zhwad = 0.0_wp ; zfuiad = 0.0_wp ; zfvjad = 0.0_wp |
|---|
| 455 | zwxad(:,:,:) = 0.0_wp ; zwyad(:,:,:) = 0.0_wp ; zwwad(:,:,:) = 0.0_wp ; zwzad(:,:,:) = 0.0_wp |
|---|
| 456 | |
|---|
| 457 | IF( kt == nitend ) THEN |
|---|
| 458 | IF(lwp) WRITE(numout,*) |
|---|
| 459 | IF(lwp) WRITE(numout,*) 'tra_adv_cen2_tam : 2nd order centered advection scheme' |
|---|
| 460 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ Vector optimization case' |
|---|
| 461 | IF(lwp) WRITE(numout,*) |
|---|
| 462 | ! |
|---|
| 463 | ! |
|---|
| 464 | btr2(:,:) = 1. / ( e1t(:,:) * e2t(:,:) ) ! inverse of T-point surface |
|---|
| 465 | IF ( jp_cfg == 2 ) THEN |
|---|
| 466 | ! Increase the background in the surface layers |
|---|
| 467 | avmb(1) = 10. * avmb(1) ; avtb(1) = 10. * avtb(1) |
|---|
| 468 | avmb(2) = 10. * avmb(2) ; avtb(2) = 10. * avtb(2) |
|---|
| 469 | avmb(3) = 5. * avmb(3) ; avtb(3) = 5. * avtb(3) |
|---|
| 470 | avmb(4) = 2.5 * avmb(4) ; avtb(4) = 2.5 * avtb(4) |
|---|
| 471 | ENDIF |
|---|
| 472 | ENDIF |
|---|
| 473 | ! II. Vertical advection |
|---|
| 474 | ! ---------------------- |
|---|
| 475 | ! 2. Tracer flux divergence at t-point added to the general trend |
|---|
| 476 | ! ------------------------- |
|---|
| 477 | DO jk = jpkm1, 1, -1 |
|---|
| 478 | DO jj = 2, jpjm1 |
|---|
| 479 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 480 | ze3tr = 1. / fse3t(ji,jj,jk) |
|---|
| 481 | ! add it to the general tracer trends |
|---|
| 482 | ztaad = ta_ad(ji,jj,jk) + ztaad |
|---|
| 483 | zsaad = sa_ad(ji,jj,jk) + zsaad |
|---|
| 484 | ! vertical advective trends |
|---|
| 485 | zwxad(ji,jj,jk) = zwxad(ji,jj,jk) - ze3tr * ztaad |
|---|
| 486 | zwxad(ji,jj,jk+1) = zwxad(ji,jj,jk+1) + ze3tr * ztaad |
|---|
| 487 | zwyad(ji,jj,jk) = zwyad(ji,jj,jk) - ze3tr * zsaad |
|---|
| 488 | zwyad(ji,jj,jk+1) = zwyad(ji,jj,jk+1) + ze3tr * zsaad |
|---|
| 489 | ztaad = 0.0_wp |
|---|
| 490 | zsaad = 0.0_wp |
|---|
| 491 | END DO |
|---|
| 492 | END DO |
|---|
| 493 | END DO |
|---|
| 494 | ! 1. Vertical advective fluxes |
|---|
| 495 | ! ---------------------------- |
|---|
| 496 | ! Second order centered tracer flux at w-point |
|---|
| 497 | DO jk = jpk, 2, -1 |
|---|
| 498 | DO jj = 2, jpjm1 |
|---|
| 499 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 500 | ! velocity * 1/2 |
|---|
| 501 | zhw = 0.5 * pwn( ji,jj,jk) |
|---|
| 502 | ! centered scheme |
|---|
| 503 | zhwad = zhwad + zwxad(ji,jj,jk) * ( tn( ji,jj,jk) + tn( ji,jj,jk-1) ) |
|---|
| 504 | tn_ad(ji,jj,jk) = tn_ad(ji,jj,jk) + zwxad(ji,jj,jk) * zhw |
|---|
| 505 | tn_ad(ji,jj,jk-1) = tn_ad(ji,jj,jk-1) + zwxad(ji,jj,jk) * zhw |
|---|
| 506 | zwxad(ji,jj,jk) = 0.0_wp |
|---|
| 507 | zhwad = zhwad + zwyad(ji,jj,jk) * ( sn( ji,jj,jk) + sn( ji,jj,jk-1) ) |
|---|
| 508 | sn_ad(ji,jj,jk) = sn_ad(ji,jj,jk) + zwyad(ji,jj,jk) * zhw |
|---|
| 509 | sn_ad(ji,jj,jk-1) = sn_ad(ji,jj,jk-1) + zwyad(ji,jj,jk) * zhw |
|---|
| 510 | zwyad(ji,jj,jk) = 0.0_wp |
|---|
| 511 | ! velocity * 1/2 |
|---|
| 512 | pwn_ad(ji,jj,jk) = pwn_ad(ji,jj,jk) + 0.5 * zhwad |
|---|
| 513 | zhwad = 0.0_wp |
|---|
| 514 | END DO |
|---|
| 515 | END DO |
|---|
| 516 | END DO |
|---|
| 517 | ! Surface value |
|---|
| 518 | IF( lk_dynspg_rl .OR. lk_vvl ) THEN |
|---|
| 519 | ! rigid lid or variable volume: flux set to zero |
|---|
| 520 | zwxad(:,:, 1 ) = 0.0_wp ; zwyad(:,:, 1 ) = 0.0_wp |
|---|
| 521 | ELSE |
|---|
| 522 | ! free surface |
|---|
| 523 | pwn_ad(:,:,1) = pwn_ad(:,:,1) + zwxad(:,:, 1 ) * tn(:,:,1) |
|---|
| 524 | tn_ad(:,:,1) = tn_ad(:,:,1) + zwxad(:,:, 1 ) * pwn(:,:,1) |
|---|
| 525 | pwn_ad(:,:,1) = pwn_ad(:,:,1) + zwyad(:,:, 1 ) * sn(:,:,1) |
|---|
| 526 | sn_ad(:,:,1) = sn_ad(:,:,1) + zwyad(:,:, 1 ) * pwn(:,:,1) |
|---|
| 527 | zwxad(:,:, 1 ) = 0.0_wp |
|---|
| 528 | zwyad(:,:, 1 ) = 0.0_wp |
|---|
| 529 | ENDIF |
|---|
| 530 | |
|---|
| 531 | ! Bottom value : flux set to zero |
|---|
| 532 | zwxad(:,:,jpk) = 0.0_wp ; zwyad(:,:,jpk) = 0.0_wp |
|---|
| 533 | ! "zonal" mean advective heat and salt transport |
|---|
| 534 | ! ---------------------------------------------- |
|---|
| 535 | |
|---|
| 536 | ! IF( ln_diaptr .AND. ( MOD( kt, nf_ptr ) == 0 ) ) THEN |
|---|
| 537 | ! IF( lk_zco ) THEN |
|---|
| 538 | ! DO jk = 1, jpkm1 |
|---|
| 539 | ! DO jj = 2, jpjm1 |
|---|
| 540 | ! DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 541 | ! zwyad(ji,jj,jk) = zwyad(ji,jj,jk) * fse3v(ji,jj,jk) |
|---|
| 542 | ! zwzad(ji,jj,jk) = zwzad(ji,jj,jk) * fse3v(ji,jj,jk) |
|---|
| 543 | ! END DO |
|---|
| 544 | ! END DO |
|---|
| 545 | ! END DO |
|---|
| 546 | ! ENDIF |
|---|
| 547 | ! pht_adv(:) = ptr_vj( zwy(:,:,:) ) |
|---|
| 548 | ! pst_adv(:) = ptr_vj( zwz(:,:,:) ) |
|---|
| 549 | ! ENDIF |
|---|
| 550 | ! |
|---|
| 551 | ! I. Horizontal advective fluxes |
|---|
| 552 | ! ------------------------------ |
|---|
| 553 | ! Second order centered tracer flux at u and v-points |
|---|
| 554 | ! ----------------------------------------------------- |
|---|
| 555 | ! ! =============== |
|---|
| 556 | DO jk = 1, jpkm1 ! Horizontal slab |
|---|
| 557 | ! ! =============== |
|---|
| 558 | ! Tracer flux divergence at t-point added to the general trend |
|---|
| 559 | ! -------------------------------------------------------------- |
|---|
| 560 | DO jj = jpjm1, 2, -1 |
|---|
| 561 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
|---|
| 562 | #if defined key_zco |
|---|
| 563 | zbtr = btr2(ji,jj) |
|---|
| 564 | #else |
|---|
| 565 | zbtr = btr2(ji,jj) / fse3t(ji,jj,jk) |
|---|
| 566 | #endif |
|---|
| 567 | ! add it to the general tracer trends |
|---|
| 568 | ztaad = ta_ad(ji,jj,jk) + ztaad |
|---|
| 569 | zsaad = sa_ad(ji,jj,jk) + zsaad |
|---|
| 570 | ! horizontal advective trends |
|---|
| 571 | zwxad(ji,jj,jk) = zwxad(ji,jj,jk) - zbtr * ztaad |
|---|
| 572 | zwxad(ji-1,jj,jk) = zwxad(ji-1,jj,jk) + zbtr * ztaad |
|---|
| 573 | zwyad(ji,jj,jk) = zwyad(ji,jj,jk) - zbtr * ztaad |
|---|
| 574 | zwyad(ji ,jj-1,jk) = zwyad(ji ,jj-1,jk) + zbtr * ztaad |
|---|
| 575 | ztaad = 0.0_wp |
|---|
| 576 | zwwad(ji,jj,jk) = zwwad(ji,jj,jk) - zsaad * zbtr |
|---|
| 577 | zwwad(ji-1,jj ,jk) = zwwad(ji-1,jj ,jk) + zsaad * zbtr |
|---|
| 578 | zwzad(ji,jj,jk) = zwzad(ji,jj,jk) - zsaad * zbtr |
|---|
| 579 | zwzad(ji ,jj-1,jk) = zwzad(ji ,jj-1,jk) + zsaad * zbtr |
|---|
| 580 | zsaad = 0.0_wp |
|---|
| 581 | END DO |
|---|
| 582 | END DO |
|---|
| 583 | DO jj = jpjm1, 1, -1 |
|---|
| 584 | DO ji = fs_jpim1, 1, -1 ! vector opt. |
|---|
| 585 | ! volume fluxes * 1/2 |
|---|
| 586 | #if defined key_zco |
|---|
| 587 | zfui = 0.5 * e2u(ji,jj) * pun(ji,jj,jk) |
|---|
| 588 | zfvj = 0.5 * e1v(ji,jj) * pvn(ji,jj,jk) |
|---|
| 589 | #else |
|---|
| 590 | zfui = 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * pun(ji,jj,jk) |
|---|
| 591 | zfvj = 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * pvn(ji,jj,jk) |
|---|
| 592 | #endif |
|---|
| 593 | ! centered scheme |
|---|
| 594 | zfuiad = zfuiad + zwxad(ji,jj,jk) * ( tn(ji,jj,jk) + tn(ji+1,jj,jk) ) |
|---|
| 595 | tn_ad(ji,jj,jk) = tn_ad(ji,jj,jk) + zwxad(ji,jj,jk) * zfui |
|---|
| 596 | tn_ad(ji+1,jj,jk) = tn_ad(ji+1,jj,jk) + zwxad(ji,jj,jk) * zfui |
|---|
| 597 | zwxad(ji,jj,jk) = 0.0_wp |
|---|
| 598 | zfvjad = zfvjad + zwyad(ji,jj,jk) * ( tn(ji,jj,jk) + tn(ji,jj+1,jk) ) |
|---|
| 599 | tn_ad(ji,jj,jk) = tn_ad(ji,jj,jk) + zwyad(ji,jj,jk) * zfvj |
|---|
| 600 | tn_ad(ji,jj+1,jk) = tn_ad(ji,jj+1,jk) + zwyad(ji,jj,jk) * zfvj |
|---|
| 601 | zwyad(ji,jj,jk) = 0.0_wp |
|---|
| 602 | zfuiad = zfuiad + zwwad(ji,jj,jk) * ( sn(ji,jj,jk) + sn(ji+1,jj,jk) ) |
|---|
| 603 | sn_ad(ji,jj,jk) = sn_ad(ji,jj,jk) + zwwad(ji,jj,jk) * zfui |
|---|
| 604 | sn_ad(ji+1,jj,jk) = sn_ad(ji+1,jj,jk) + zwwad(ji,jj,jk) * zfui |
|---|
| 605 | zwwad(ji,jj,jk) = 0.0_wp |
|---|
| 606 | zfvjad = zfvjad + zwzad(ji,jj,jk) * ( sn(ji,jj,jk) + sn(ji,jj+1,jk) ) |
|---|
| 607 | sn_ad(ji,jj,jk) = sn_ad(ji,jj,jk) + zwzad(ji,jj,jk) * zfvj |
|---|
| 608 | sn_ad(ji,jj+1,jk) = sn_ad(ji,jj+1,jk) + zwzad(ji,jj,jk) * zfvj |
|---|
| 609 | zwzad(ji,jj,jk) = 0.0_wp |
|---|
| 610 | #if defined key_zco |
|---|
| 611 | pun_ad(ji,jj,jk) = pun_ad(ji,jj,jk) + 0.5 * e2u(ji,jj) * zfuiad |
|---|
| 612 | pvn_ad(ji,jj,jk) = pvn_ad(ji,jj,jk) + 0.5 * e1v(ji,jj) * zfvjad |
|---|
| 613 | zfuiad = 0.0_wp |
|---|
| 614 | zfvjad = 0.0_wp |
|---|
| 615 | #else |
|---|
| 616 | pun_ad(ji,jj,jk) = pun_ad(ji,jj,jk) + 0.5 * e2u(ji,jj) * fse3u(ji,jj,jk) * zfuiad |
|---|
| 617 | pvn_ad(ji,jj,jk) = pvn_ad(ji,jj,jk) + 0.5 * e1v(ji,jj) * fse3v(ji,jj,jk) * zfvjad |
|---|
| 618 | zfuiad = 0.0_wp |
|---|
| 619 | zfvjad = 0.0_wp |
|---|
| 620 | #endif |
|---|
| 621 | END DO |
|---|
| 622 | END DO |
|---|
| 623 | ! ! =============== |
|---|
| 624 | END DO ! End of slab |
|---|
| 625 | ! ! =============== |
|---|
| 626 | |
|---|
| 627 | |
|---|
| 628 | ! |
|---|
| 629 | END SUBROUTINE tra_adv_cen2_adj |
|---|
| 630 | SUBROUTINE tra_adv_cen2_adj_tst( kumadt ) |
|---|
| 631 | !!----------------------------------------------------------------------- |
|---|
| 632 | !! |
|---|
| 633 | !! *** ROUTINE tra_adv_cen2_adj_tst *** |
|---|
| 634 | !! |
|---|
| 635 | !! ** Purpose : Test the adjoint routine. |
|---|
| 636 | !! |
|---|
| 637 | !! ** Method : Verify the scalar product |
|---|
| 638 | !! |
|---|
| 639 | !! ( L dx )^T W dy = dx^T L^T W dy |
|---|
| 640 | !! |
|---|
| 641 | !! where L = tangent routine |
|---|
| 642 | !! L^T = adjoint routine |
|---|
| 643 | !! W = diagonal matrix of scale factors |
|---|
| 644 | !! dx = input perturbation (random field) |
|---|
| 645 | !! dy = L dx |
|---|
| 646 | !! |
|---|
| 647 | !! |
|---|
| 648 | !! History : |
|---|
| 649 | !! ! 08-08 (A. Vidard) |
|---|
| 650 | !!----------------------------------------------------------------------- |
|---|
| 651 | !! * Modules used |
|---|
| 652 | |
|---|
| 653 | !! * Arguments |
|---|
| 654 | INTEGER, INTENT(IN) :: & |
|---|
| 655 | & kumadt ! Output unit |
|---|
| 656 | |
|---|
| 657 | !! * Local declarations |
|---|
| 658 | INTEGER :: & |
|---|
| 659 | & ji, & ! dummy loop indices |
|---|
| 660 | & jj, & |
|---|
| 661 | & jk |
|---|
| 662 | INTEGER, DIMENSION(jpi,jpj) :: & |
|---|
| 663 | & iseed_2d ! 2D seed for the random number generator |
|---|
| 664 | REAL(KIND=wp) :: & |
|---|
| 665 | & zsp1, & ! scalar product involving the tangent routine |
|---|
| 666 | & zsp2 ! scalar product involving the adjoint routine |
|---|
| 667 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 668 | & zun_tlin , & ! Tangent input |
|---|
| 669 | & zvn_tlin , & ! Tangent input |
|---|
| 670 | & zwn_tlin , & ! Tangent input |
|---|
| 671 | & ztn_tlin , & ! Tangent input |
|---|
| 672 | & zsn_tlin , & ! Tangent input |
|---|
| 673 | & zta_tlin , & ! Tangent input |
|---|
| 674 | & zsa_tlin , & ! Tangent input |
|---|
| 675 | & zta_tlout, & ! Tangent output |
|---|
| 676 | & zsa_tlout, & ! Tangent output |
|---|
| 677 | & zta_adin , & ! Adjoint input |
|---|
| 678 | & zsa_adin , & ! Adjoint input |
|---|
| 679 | & zun_adout, & ! Adjoint output |
|---|
| 680 | & zvn_adout, & ! Adjoint output |
|---|
| 681 | & zwn_adout, & ! Adjoint output |
|---|
| 682 | & ztn_adout, & ! Adjoint output |
|---|
| 683 | & zsn_adout, & ! Adjoint output |
|---|
| 684 | & zta_adout, & ! Adjoint output |
|---|
| 685 | & zsa_adout, & ! Adjoint output |
|---|
| 686 | & zr ! 3D random field |
|---|
| 687 | CHARACTER(LEN=14) ::& |
|---|
| 688 | & cl_name |
|---|
| 689 | ! Allocate memory |
|---|
| 690 | |
|---|
| 691 | ALLOCATE( & |
|---|
| 692 | & zun_tlin( jpi,jpj,jpk), & |
|---|
| 693 | & zvn_tlin( jpi,jpj,jpk), & |
|---|
| 694 | & zwn_tlin( jpi,jpj,jpk), & |
|---|
| 695 | & ztn_tlin( jpi,jpj,jpk), & |
|---|
| 696 | & zsn_tlin( jpi,jpj,jpk), & |
|---|
| 697 | & zta_tlin( jpi,jpj,jpk), & |
|---|
| 698 | & zsa_tlin( jpi,jpj,jpk), & |
|---|
| 699 | & zta_tlout(jpi,jpj,jpk), & |
|---|
| 700 | & zsa_tlout(jpi,jpj,jpk), & |
|---|
| 701 | & zta_adin( jpi,jpj,jpk), & |
|---|
| 702 | & zsa_adin( jpi,jpj,jpk), & |
|---|
| 703 | & zun_adout(jpi,jpj,jpk), & |
|---|
| 704 | & zvn_adout(jpi,jpj,jpk), & |
|---|
| 705 | & zwn_adout(jpi,jpj,jpk), & |
|---|
| 706 | & ztn_adout(jpi,jpj,jpk), & |
|---|
| 707 | & zsn_adout(jpi,jpj,jpk), & |
|---|
| 708 | & zta_adout(jpi,jpj,jpk), & |
|---|
| 709 | & zsa_adout(jpi,jpj,jpk), & |
|---|
| 710 | & zr( jpi,jpj,jpk) & |
|---|
| 711 | & ) |
|---|
| 712 | !================================================================== |
|---|
| 713 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
|---|
| 714 | ! dy = ( hdivb_tl, hdivn_tl ) |
|---|
| 715 | !================================================================== |
|---|
| 716 | |
|---|
| 717 | !-------------------------------------------------------------------- |
|---|
| 718 | ! Reset the tangent and adjoint variables |
|---|
| 719 | !-------------------------------------------------------------------- |
|---|
| 720 | zun_tlin( :,:,:) = 0.0_wp |
|---|
| 721 | zvn_tlin( :,:,:) = 0.0_wp |
|---|
| 722 | zwn_tlin( :,:,:) = 0.0_wp |
|---|
| 723 | ztn_tlin( :,:,:) = 0.0_wp |
|---|
| 724 | zsn_tlin( :,:,:) = 0.0_wp |
|---|
| 725 | zta_tlin( :,:,:) = 0.0_wp |
|---|
| 726 | zsa_tlin( :,:,:) = 0.0_wp |
|---|
| 727 | zta_tlout(:,:,:) = 0.0_wp |
|---|
| 728 | zsa_tlout(:,:,:) = 0.0_wp |
|---|
| 729 | zta_adin( :,:,:) = 0.0_wp |
|---|
| 730 | zsa_adin( :,:,:) = 0.0_wp |
|---|
| 731 | zun_adout(:,:,:) = 0.0_wp |
|---|
| 732 | zvn_adout(:,:,:) = 0.0_wp |
|---|
| 733 | zwn_adout(:,:,:) = 0.0_wp |
|---|
| 734 | ztn_adout(:,:,:) = 0.0_wp |
|---|
| 735 | zsn_adout(:,:,:) = 0.0_wp |
|---|
| 736 | zta_adout(:,:,:) = 0.0_wp |
|---|
| 737 | zsa_adout(:,:,:) = 0.0_wp |
|---|
| 738 | zr( :,:,:) = 0.0_wp |
|---|
| 739 | |
|---|
| 740 | tn_ad(:,:,:) = 0.0_wp |
|---|
| 741 | sn_ad(:,:,:) = 0.0_wp |
|---|
| 742 | |
|---|
| 743 | |
|---|
| 744 | !-------------------------------------------------------------------- |
|---|
| 745 | ! Initialize the tangent input with random noise: dx |
|---|
| 746 | !-------------------------------------------------------------------- |
|---|
| 747 | |
|---|
| 748 | DO jj = 1, jpj |
|---|
| 749 | DO ji = 1, jpi |
|---|
| 750 | iseed_2d(ji,jj) = - ( 596035 + & |
|---|
| 751 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 752 | END DO |
|---|
| 753 | END DO |
|---|
| 754 | CALL grid_random( iseed_2d, zr, 'U', 0.0_wp, stdu ) |
|---|
| 755 | DO jk = 1, jpk |
|---|
| 756 | DO jj = nldj, nlej |
|---|
| 757 | DO ji = nldi, nlei |
|---|
| 758 | zun_tlin(ji,jj,jk) = zr(ji,jj,jk) |
|---|
| 759 | END DO |
|---|
| 760 | END DO |
|---|
| 761 | END DO |
|---|
| 762 | |
|---|
| 763 | DO jj = 1, jpj |
|---|
| 764 | DO ji = 1, jpi |
|---|
| 765 | iseed_2d(ji,jj) = - ( 371836 + & |
|---|
| 766 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 767 | END DO |
|---|
| 768 | END DO |
|---|
| 769 | CALL grid_random( iseed_2d, zr, 'V', 0.0_wp, stdv ) |
|---|
| 770 | DO jk = 1, jpk |
|---|
| 771 | DO jj = nldj, nlej |
|---|
| 772 | DO ji = nldi, nlei |
|---|
| 773 | zvn_tlin(ji,jj,jk) = zr(ji,jj,jk) |
|---|
| 774 | END DO |
|---|
| 775 | END DO |
|---|
| 776 | END DO |
|---|
| 777 | |
|---|
| 778 | DO jj = 1, jpj |
|---|
| 779 | DO ji = 1, jpi |
|---|
| 780 | iseed_2d(ji,jj) = - ( 148379 + & |
|---|
| 781 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 782 | END DO |
|---|
| 783 | END DO |
|---|
| 784 | CALL grid_random( iseed_2d, zr, 'W', 0.0_wp, stdw ) |
|---|
| 785 | DO jk = 1, jpk |
|---|
| 786 | DO jj = nldj, nlej |
|---|
| 787 | DO ji = nldi, nlei |
|---|
| 788 | zwn_tlin(ji,jj,jk) = zr(ji,jj,jk) |
|---|
| 789 | END DO |
|---|
| 790 | END DO |
|---|
| 791 | END DO |
|---|
| 792 | |
|---|
| 793 | DO jj = 1, jpj |
|---|
| 794 | DO ji = 1, jpi |
|---|
| 795 | iseed_2d(ji,jj) = - ( 264940 + & |
|---|
| 796 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 797 | END DO |
|---|
| 798 | END DO |
|---|
| 799 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stdt ) |
|---|
| 800 | DO jk = 1, jpk |
|---|
| 801 | DO jj = nldj, nlej |
|---|
| 802 | DO ji = nldi, nlei |
|---|
| 803 | ztn_tlin(ji,jj,jk) = zr(ji,jj,jk) |
|---|
| 804 | END DO |
|---|
| 805 | END DO |
|---|
| 806 | END DO |
|---|
| 807 | |
|---|
| 808 | DO jj = 1, jpj |
|---|
| 809 | DO ji = 1, jpi |
|---|
| 810 | iseed_2d(ji,jj) = - ( 618304 + & |
|---|
| 811 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 812 | END DO |
|---|
| 813 | END DO |
|---|
| 814 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stds ) |
|---|
| 815 | DO jk = 1, jpk |
|---|
| 816 | DO jj = nldj, nlej |
|---|
| 817 | DO ji = nldi, nlei |
|---|
| 818 | zsn_tlin(ji,jj,jk) = zr(ji,jj,jk) |
|---|
| 819 | END DO |
|---|
| 820 | END DO |
|---|
| 821 | END DO |
|---|
| 822 | |
|---|
| 823 | DO jj = 1, jpj |
|---|
| 824 | DO ji = 1, jpi |
|---|
| 825 | iseed_2d(ji,jj) = - ( 481903 + & |
|---|
| 826 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 827 | END DO |
|---|
| 828 | END DO |
|---|
| 829 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stdt ) |
|---|
| 830 | DO jk = 1, jpk |
|---|
| 831 | DO jj = nldj, nlej |
|---|
| 832 | DO ji = nldi, nlei |
|---|
| 833 | zta_tlin(ji,jj,jk) = zr(ji,jj,jk) |
|---|
| 834 | END DO |
|---|
| 835 | END DO |
|---|
| 836 | END DO |
|---|
| 837 | |
|---|
| 838 | DO jj = 1, jpj |
|---|
| 839 | DO ji = 1, jpi |
|---|
| 840 | iseed_2d(ji,jj) = - ( 263871 + & |
|---|
| 841 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 842 | END DO |
|---|
| 843 | END DO |
|---|
| 844 | CALL grid_random( iseed_2d, zr, 'T', 0.0_wp, stds ) |
|---|
| 845 | DO jk = 1, jpk |
|---|
| 846 | DO jj = nldj, nlej |
|---|
| 847 | DO ji = nldi, nlei |
|---|
| 848 | zsa_tlin(ji,jj,jk) = zr(ji,jj,jk) |
|---|
| 849 | END DO |
|---|
| 850 | END DO |
|---|
| 851 | END DO |
|---|
| 852 | |
|---|
| 853 | tn_tl(:,:,:) = ztn_tlin(:,:,:) |
|---|
| 854 | sn_tl(:,:,:) = zsn_tlin(:,:,:) |
|---|
| 855 | ta_tl(:,:,:) = zta_tlin(:,:,:) |
|---|
| 856 | sa_tl(:,:,:) = zsa_tlin(:,:,:) |
|---|
| 857 | |
|---|
| 858 | CALL tra_adv_cen2_tan(nit000, un, vn, wn, zun_tlin, zvn_tlin, zwn_tlin) |
|---|
| 859 | |
|---|
| 860 | zta_tlout(:,:,:) = ta_tl(:,:,:) |
|---|
| 861 | zsa_tlout(:,:,:) = sa_tl(:,:,:) |
|---|
| 862 | |
|---|
| 863 | !-------------------------------------------------------------------- |
|---|
| 864 | ! Initialize the adjoint variables: dy^* = W dy |
|---|
| 865 | !-------------------------------------------------------------------- |
|---|
| 866 | |
|---|
| 867 | DO jk = 1, jpk |
|---|
| 868 | DO jj = nldj, nlej |
|---|
| 869 | DO ji = nldi, nlei |
|---|
| 870 | zta_adin(ji,jj,jk) = zta_tlout(ji,jj,jk) & |
|---|
| 871 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
|---|
| 872 | & * tmask(ji,jj,jk) * wesp_t(jk) |
|---|
| 873 | zsa_adin(ji,jj,jk) = zsa_tlout(ji,jj,jk) & |
|---|
| 874 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
|---|
| 875 | & * tmask(ji,jj,jk) * wesp_s(jk) |
|---|
| 876 | END DO |
|---|
| 877 | END DO |
|---|
| 878 | END DO |
|---|
| 879 | !-------------------------------------------------------------------- |
|---|
| 880 | ! Compute the scalar product: ( L dx )^T W dy |
|---|
| 881 | !-------------------------------------------------------------------- |
|---|
| 882 | |
|---|
| 883 | zsp1 = DOT_PRODUCT( zta_tlout, zta_adin ) & |
|---|
| 884 | & + DOT_PRODUCT( zsa_tlout, zsa_adin ) |
|---|
| 885 | |
|---|
| 886 | !-------------------------------------------------------------------- |
|---|
| 887 | ! Call the adjoint routine: dx^* = L^T dy^* |
|---|
| 888 | !-------------------------------------------------------------------- |
|---|
| 889 | ta_ad(:,:,:) = zta_adin(:,:,:) |
|---|
| 890 | sa_ad(:,:,:) = zsa_adin(:,:,:) |
|---|
| 891 | |
|---|
| 892 | CALL tra_adv_cen2_adj(nit000, un, vn, wn, zun_adout, zvn_adout, zwn_adout) |
|---|
| 893 | |
|---|
| 894 | ztn_adout(:,:,:) = tn_ad(:,:,:) |
|---|
| 895 | zsn_adout(:,:,:) = sn_ad(:,:,:) |
|---|
| 896 | zta_adout(:,:,:) = ta_ad(:,:,:) |
|---|
| 897 | zsa_adout(:,:,:) = sa_ad(:,:,:) |
|---|
| 898 | |
|---|
| 899 | |
|---|
| 900 | zsp2 = DOT_PRODUCT( zun_tlin, zun_adout ) & |
|---|
| 901 | & + DOT_PRODUCT( zvn_tlin, zvn_adout ) & |
|---|
| 902 | & + DOT_PRODUCT( zwn_tlin, zwn_adout ) & |
|---|
| 903 | & + DOT_PRODUCT( ztn_tlin, ztn_adout ) & |
|---|
| 904 | & + DOT_PRODUCT( zsn_tlin, zsn_adout ) & |
|---|
| 905 | & + DOT_PRODUCT( zta_tlin, zta_adout ) & |
|---|
| 906 | & + DOT_PRODUCT( zsa_tlin, zsa_adout ) |
|---|
| 907 | |
|---|
| 908 | ! 14 char:'12345678901234' |
|---|
| 909 | cl_name = 'tra_adv_cen2 ' |
|---|
| 910 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
|---|
| 911 | |
|---|
| 912 | DEALLOCATE( & |
|---|
| 913 | & zun_tlin , & ! Tangent input |
|---|
| 914 | & zvn_tlin , & ! Tangent input |
|---|
| 915 | & zwn_tlin , & ! Tangent input |
|---|
| 916 | & ztn_tlin , & ! Tangent input |
|---|
| 917 | & zsn_tlin , & ! Tangent input |
|---|
| 918 | & zta_tlin , & ! Tangent input |
|---|
| 919 | & zsa_tlin , & ! Tangent input |
|---|
| 920 | & zta_tlout, & ! Tangent output |
|---|
| 921 | & zsa_tlout, & ! Tangent output |
|---|
| 922 | & zta_adin , & ! Adjoint input |
|---|
| 923 | & zsa_adin , & ! Adjoint input |
|---|
| 924 | & zun_adout, & ! Adjoint output |
|---|
| 925 | & zvn_adout, & ! Adjoint output |
|---|
| 926 | & zwn_adout, & ! Adjoint output |
|---|
| 927 | & ztn_adout, & ! Adjoint output |
|---|
| 928 | & zsn_adout, & ! Adjoint output |
|---|
| 929 | & zta_adout, & ! Adjoint output |
|---|
| 930 | & zsa_adout, & ! Adjoint output |
|---|
| 931 | & zr & ! 3D random field |
|---|
| 932 | & ) |
|---|
| 933 | |
|---|
| 934 | |
|---|
| 935 | |
|---|
| 936 | END SUBROUTINE tra_adv_cen2_adj_tst |
|---|
| 937 | |
|---|
| 938 | SUBROUTINE tra_adv_cen2_tlm_tst( kumadt ) |
|---|
| 939 | !!----------------------------------------------------------------------- |
|---|
| 940 | !! |
|---|
| 941 | !! *** ROUTINE tra_adv_cen2_tlm_tst *** |
|---|
| 942 | !! |
|---|
| 943 | !! ** Purpose : Test the tangent routine. |
|---|
| 944 | !! |
|---|
| 945 | !! ** Method : Verify the tangent with Taylor expansion |
|---|
| 946 | !! |
|---|
| 947 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
|---|
| 948 | !! |
|---|
| 949 | !! where L = tangent routine |
|---|
| 950 | !! M = direct routine |
|---|
| 951 | !! dx = input perturbation (random field) |
|---|
| 952 | !! h = ration on perturbation |
|---|
| 953 | !! |
|---|
| 954 | !! In the tangent test we verify that: |
|---|
| 955 | !! M(x+h*dx) - M(x) |
|---|
| 956 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
|---|
| 957 | !! L(h*dx) |
|---|
| 958 | !! and |
|---|
| 959 | !! g(h) - 1 |
|---|
| 960 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
|---|
| 961 | !! p |
|---|
| 962 | !! |
|---|
| 963 | !! History : |
|---|
| 964 | !! ! 09-08 (A. Vigilant) |
|---|
| 965 | !!----------------------------------------------------------------------- |
|---|
| 966 | !! * Modules used |
|---|
| 967 | USE traadv_cen2 ! horizontal & vertical advective trend |
|---|
| 968 | USE tamtrj ! writing out state trajectory |
|---|
| 969 | USE par_tlm, ONLY: & |
|---|
| 970 | & cur_loop, & |
|---|
| 971 | & h_ratio |
|---|
| 972 | USE istate_mod |
|---|
| 973 | USE wzvmod ! vertical velocity |
|---|
| 974 | USE gridrandom, ONLY: & |
|---|
| 975 | & grid_rd_sd |
|---|
| 976 | USE trj_tam |
|---|
| 977 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
|---|
| 978 | & tb, sb, tn, sn, ta, & |
|---|
| 979 | & sa, gtu, gsu, gtv, & |
|---|
| 980 | & gsv |
|---|
| 981 | USE opatam_tst_ini, ONLY: & |
|---|
| 982 | & tlm_namrd |
|---|
| 983 | USE tamctl, ONLY: & ! Control parameters |
|---|
| 984 | & numtan, numtan_sc |
|---|
| 985 | !! * Arguments |
|---|
| 986 | INTEGER, INTENT(IN) :: & |
|---|
| 987 | & kumadt ! Output unit |
|---|
| 988 | |
|---|
| 989 | !! * Local declarations |
|---|
| 990 | INTEGER :: & |
|---|
| 991 | & ji, & ! dummy loop indices |
|---|
| 992 | & jj, & |
|---|
| 993 | & jk |
|---|
| 994 | REAL(KIND=wp) :: & |
|---|
| 995 | & zsp1, & ! scalar product involving the tangent routine |
|---|
| 996 | & zsp1_Ta, & |
|---|
| 997 | & zsp1_Sa, & |
|---|
| 998 | & zsp2, & ! scalar product involving the tangent routine |
|---|
| 999 | & zsp2_Ta, & |
|---|
| 1000 | & zsp2_Sa, & |
|---|
| 1001 | & zsp3, & ! scalar product involving the tangent routine |
|---|
| 1002 | & zsp3_Ta, & |
|---|
| 1003 | & zsp3_Sa, & |
|---|
| 1004 | & zzsp, & ! scalar product involving the tangent routine |
|---|
| 1005 | & zzsp_Ta, & |
|---|
| 1006 | & zzsp_Sa, & |
|---|
| 1007 | & gamma, & |
|---|
| 1008 | & zgsp1, & |
|---|
| 1009 | & zgsp2, & |
|---|
| 1010 | & zgsp3, & |
|---|
| 1011 | & zgsp4, & |
|---|
| 1012 | & zgsp5, & |
|---|
| 1013 | & zgsp6, & |
|---|
| 1014 | & zgsp7 |
|---|
| 1015 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 1016 | & zun_tlin, & ! Tangent input |
|---|
| 1017 | & zvn_tlin, & ! Tangent input |
|---|
| 1018 | & zwn_tlin, & ! Tangent input |
|---|
| 1019 | & ztn_tlin, & ! Tangent input |
|---|
| 1020 | & zsn_tlin, & ! Tangent input |
|---|
| 1021 | & zta_tlin, & ! Tangent input |
|---|
| 1022 | & zsa_tlin, & ! Tangent input |
|---|
| 1023 | & zta_out , & ! Direct output |
|---|
| 1024 | & zsa_out , & ! Direct output |
|---|
| 1025 | & zta_wop , & ! Direct output w/o perturbation |
|---|
| 1026 | & zsa_wop , & ! Direct output w/o perturbation |
|---|
| 1027 | & z3r |
|---|
| 1028 | CHARACTER(LEN=14) :: cl_name |
|---|
| 1029 | CHARACTER (LEN=128) :: file_out, file_wop |
|---|
| 1030 | CHARACTER (LEN=90) :: FMT |
|---|
| 1031 | REAL(KIND=wp), DIMENSION(100):: & |
|---|
| 1032 | & zscta,zscsa, & |
|---|
| 1033 | & zscerrta, zscerrsa |
|---|
| 1034 | INTEGER, DIMENSION(100):: & |
|---|
| 1035 | & iiposta, iipossa, & |
|---|
| 1036 | & ijposta, ijpossa, & |
|---|
| 1037 | & ikposta, ikpossa |
|---|
| 1038 | INTEGER:: & |
|---|
| 1039 | & ii, & |
|---|
| 1040 | & isamp=40, & |
|---|
| 1041 | & jsamp=40, & |
|---|
| 1042 | & ksamp=10, & |
|---|
| 1043 | & numsctlm |
|---|
| 1044 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
|---|
| 1045 | & zerrta, zerrsa |
|---|
| 1046 | ! Allocate memory |
|---|
| 1047 | |
|---|
| 1048 | ALLOCATE( & |
|---|
| 1049 | & zun_tlin( jpi,jpj,jpk), & |
|---|
| 1050 | & zvn_tlin( jpi,jpj,jpk), & |
|---|
| 1051 | & zwn_tlin( jpi,jpj,jpk), & |
|---|
| 1052 | & ztn_tlin( jpi,jpj,jpk), & |
|---|
| 1053 | & zsn_tlin( jpi,jpj,jpk), & |
|---|
| 1054 | & zta_tlin( jpi,jpj,jpk), & |
|---|
| 1055 | & zsa_tlin( jpi,jpj,jpk), & |
|---|
| 1056 | & zta_out ( jpi,jpj,jpk), & |
|---|
| 1057 | & zsa_out ( jpi,jpj,jpk), & |
|---|
| 1058 | & zta_wop ( jpi,jpj,jpk), & |
|---|
| 1059 | & zsa_wop ( jpi,jpj,jpk), & |
|---|
| 1060 | & z3r ( jpi,jpj,jpk) & |
|---|
| 1061 | & ) |
|---|
| 1062 | |
|---|
| 1063 | !-------------------------------------------------------------------- |
|---|
| 1064 | ! Reset variables |
|---|
| 1065 | !-------------------------------------------------------------------- |
|---|
| 1066 | zun_tlin( :,:,:) = 0.0_wp |
|---|
| 1067 | zvn_tlin( :,:,:) = 0.0_wp |
|---|
| 1068 | zwn_tlin( :,:,:) = 0.0_wp |
|---|
| 1069 | ztn_tlin( :,:,:) = 0.0_wp |
|---|
| 1070 | zsn_tlin( :,:,:) = 0.0_wp |
|---|
| 1071 | zta_tlin( :,:,:) = 0.0_wp |
|---|
| 1072 | zsa_tlin( :,:,:) = 0.0_wp |
|---|
| 1073 | zta_out ( :,:,:) = 0.0_wp |
|---|
| 1074 | zsa_out ( :,:,:) = 0.0_wp |
|---|
| 1075 | zta_wop ( :,:,:) = 0.0_wp |
|---|
| 1076 | zsa_wop ( :,:,:) = 0.0_wp |
|---|
| 1077 | |
|---|
| 1078 | zscta(:) = 0.0_wp |
|---|
| 1079 | zscsa(:) = 0.0_wp |
|---|
| 1080 | zscerrta(:) = 0.0_wp |
|---|
| 1081 | zscerrsa(:) = 0.0_wp |
|---|
| 1082 | |
|---|
| 1083 | !-------------------------------------------------------------------- |
|---|
| 1084 | ! Output filename Xn=F(X0) |
|---|
| 1085 | !-------------------------------------------------------------------- |
|---|
| 1086 | file_wop='trj_wop_tradv_cen2' |
|---|
| 1087 | CALL tlm_namrd |
|---|
| 1088 | gamma = h_ratio |
|---|
| 1089 | !-------------------------------------------------------------------- |
|---|
| 1090 | ! Initialize the tangent input with random noise: dx |
|---|
| 1091 | !-------------------------------------------------------------------- |
|---|
| 1092 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
|---|
| 1093 | CALL grid_rd_sd( 596035, z3r, 'U', 0.0_wp, stdu) |
|---|
| 1094 | DO jk = 1, jpk |
|---|
| 1095 | DO jj = nldj, nlej |
|---|
| 1096 | DO ji = nldi, nlei |
|---|
| 1097 | zun_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 1098 | END DO |
|---|
| 1099 | END DO |
|---|
| 1100 | END DO |
|---|
| 1101 | CALL grid_rd_sd( 371836, z3r, 'V', 0.0_wp, stdv) |
|---|
| 1102 | DO jk = 1, jpk |
|---|
| 1103 | DO jj = nldj, nlej |
|---|
| 1104 | DO ji = nldi, nlei |
|---|
| 1105 | zvn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 1106 | END DO |
|---|
| 1107 | END DO |
|---|
| 1108 | END DO |
|---|
| 1109 | CALL grid_rd_sd( 148379, z3r, 'W', 0.0_wp, stdw) |
|---|
| 1110 | DO jk = 1, jpk |
|---|
| 1111 | DO jj = nldj, nlej |
|---|
| 1112 | DO ji = nldi, nlei |
|---|
| 1113 | zwn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 1114 | END DO |
|---|
| 1115 | END DO |
|---|
| 1116 | END DO |
|---|
| 1117 | CALL grid_rd_sd( 264940, z3r, 'T', 0.0_wp, stdt) |
|---|
| 1118 | DO jk = 1, jpk |
|---|
| 1119 | DO jj = nldj, nlej |
|---|
| 1120 | DO ji = nldi, nlei |
|---|
| 1121 | ztn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 1122 | END DO |
|---|
| 1123 | END DO |
|---|
| 1124 | END DO |
|---|
| 1125 | CALL grid_rd_sd( 618304, z3r, 'T', 0.0_wp, stds) |
|---|
| 1126 | DO jk = 1, jpk |
|---|
| 1127 | DO jj = nldj, nlej |
|---|
| 1128 | DO ji = nldi, nlei |
|---|
| 1129 | zsn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 1130 | END DO |
|---|
| 1131 | END DO |
|---|
| 1132 | END DO |
|---|
| 1133 | CALL grid_rd_sd( 481903, z3r, 'T', 0.0_wp, stdt) |
|---|
| 1134 | DO jk = 1, jpk |
|---|
| 1135 | DO jj = nldj, nlej |
|---|
| 1136 | DO ji = nldi, nlei |
|---|
| 1137 | zta_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 1138 | END DO |
|---|
| 1139 | END DO |
|---|
| 1140 | END DO |
|---|
| 1141 | CALL grid_rd_sd( 263871, z3r, 'T', 0.0_wp, stds) |
|---|
| 1142 | DO jk = 1, jpk |
|---|
| 1143 | DO jj = nldj, nlej |
|---|
| 1144 | DO ji = nldi, nlei |
|---|
| 1145 | zsa_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 1146 | END DO |
|---|
| 1147 | END DO |
|---|
| 1148 | END DO |
|---|
| 1149 | ENDIF |
|---|
| 1150 | !-------------------------------------------------------------------- |
|---|
| 1151 | ! Complete Init for Direct |
|---|
| 1152 | !------------------------------------------------------------------- |
|---|
| 1153 | CALL istate_p |
|---|
| 1154 | |
|---|
| 1155 | ! *** initialize the reference trajectory |
|---|
| 1156 | ! ------------ |
|---|
| 1157 | CALL trj_rea( nit000-1, 1 ) |
|---|
| 1158 | CALL trj_rea( nit000, 1 ) |
|---|
| 1159 | |
|---|
| 1160 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
|---|
| 1161 | zun_tlin(:,:,:) = gamma * zun_tlin(:,:,:) |
|---|
| 1162 | un(:,:,:) = un(:,:,:) + zun_tlin(:,:,:) |
|---|
| 1163 | |
|---|
| 1164 | zvn_tlin(:,:,:) = gamma * zvn_tlin(:,:,:) |
|---|
| 1165 | vn(:,:,:) = vn(:,:,:) + zvn_tlin(:,:,:) |
|---|
| 1166 | |
|---|
| 1167 | zwn_tlin(:,:,:) = gamma * zwn_tlin(:,:,:) |
|---|
| 1168 | wn(:,:,:) = wn(:,:,:) + zwn_tlin(:,:,:) |
|---|
| 1169 | |
|---|
| 1170 | ztn_tlin(:,:,:) = gamma * ztn_tlin(:,:,:) |
|---|
| 1171 | tn(:,:,:) = tn(:,:,:) + ztn_tlin(:,:,:) |
|---|
| 1172 | |
|---|
| 1173 | zsn_tlin(:,:,:) = gamma * zsn_tlin(:,:,:) |
|---|
| 1174 | sn(:,:,:) = sn(:,:,:) + zsn_tlin(:,:,:) |
|---|
| 1175 | |
|---|
| 1176 | zta_tlin(:,:,:) = gamma * zta_tlin(:,:,:) |
|---|
| 1177 | ta(:,:,:) = ta(:,:,:) + zta_tlin(:,:,:) |
|---|
| 1178 | |
|---|
| 1179 | zsa_tlin(:,:,:) = gamma * zsa_tlin(:,:,:) |
|---|
| 1180 | sa(:,:,:) = sa(:,:,:) + zsa_tlin(:,:,:) |
|---|
| 1181 | ENDIF |
|---|
| 1182 | |
|---|
| 1183 | !-------------------------------------------------------------------- |
|---|
| 1184 | ! Compute the direct model F(X0,t=n) = Xn |
|---|
| 1185 | !-------------------------------------------------------------------- |
|---|
| 1186 | CALL tra_adv_cen2(nit000, un, vn, wn) |
|---|
| 1187 | IF ( cur_loop .EQ. 0) CALL trj_wri_spl(file_wop) |
|---|
| 1188 | !-------------------------------------------------------------------- |
|---|
| 1189 | ! Compute the Tangent |
|---|
| 1190 | !-------------------------------------------------------------------- |
|---|
| 1191 | IF ( cur_loop .NE. 0) THEN |
|---|
| 1192 | !-------------------------------------------------------------------- |
|---|
| 1193 | ! Storing data |
|---|
| 1194 | !-------------------------------------------------------------------- |
|---|
| 1195 | zta_out (:,:,:) = ta (:,:,:) |
|---|
| 1196 | zsa_out (:,:,:) = sa (:,:,:) |
|---|
| 1197 | |
|---|
| 1198 | !-------------------------------------------------------------------- |
|---|
| 1199 | ! Initialize the tangent variables: dy^* = W dy |
|---|
| 1200 | !-------------------------------------------------------------------- |
|---|
| 1201 | CALL trj_rea( nit000-1, 1 ) |
|---|
| 1202 | CALL trj_rea( nit000, 1 ) |
|---|
| 1203 | tn_tl (:,:,:) = ztn_tlin (:,:,:) |
|---|
| 1204 | sn_tl (:,:,:) = zsn_tlin (:,:,:) |
|---|
| 1205 | ta_tl (:,:,:) = zta_tlin (:,:,:) |
|---|
| 1206 | sa_tl (:,:,:) = zsa_tlin (:,:,:) |
|---|
| 1207 | |
|---|
| 1208 | !----------------------------------------------------------------------- |
|---|
| 1209 | ! Initialization of the dynamics and tracer fields for the tangent |
|---|
| 1210 | !----------------------------------------------------------------------- |
|---|
| 1211 | CALL tra_adv_cen2_tan(nit000, un, vn, wn, zun_tlin, zvn_tlin, zwn_tlin) |
|---|
| 1212 | |
|---|
| 1213 | !-------------------------------------------------------------------- |
|---|
| 1214 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
|---|
| 1215 | !-------------------------------------------------------------------- |
|---|
| 1216 | |
|---|
| 1217 | zsp2_Ta = DOT_PRODUCT( ta_tl, ta_tl ) |
|---|
| 1218 | zsp2_Sa = DOT_PRODUCT( sa_tl, sa_tl ) |
|---|
| 1219 | |
|---|
| 1220 | zsp2 = zsp2_Ta + zsp2_Sa |
|---|
| 1221 | |
|---|
| 1222 | !-------------------------------------------------------------------- |
|---|
| 1223 | ! Storing data |
|---|
| 1224 | !-------------------------------------------------------------------- |
|---|
| 1225 | CALL trj_rd_spl(file_wop) |
|---|
| 1226 | |
|---|
| 1227 | zta_wop (:,:,:) = ta (:,:,:) |
|---|
| 1228 | zsa_wop (:,:,:) = sa (:,:,:) |
|---|
| 1229 | |
|---|
| 1230 | !-------------------------------------------------------------------- |
|---|
| 1231 | ! Compute the Linearization Error |
|---|
| 1232 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
|---|
| 1233 | ! and |
|---|
| 1234 | ! Compute the Linearization Error |
|---|
| 1235 | ! En = Nn -TL(gamma.dX0, t0,tn) |
|---|
| 1236 | !-------------------------------------------------------------------- |
|---|
| 1237 | ! Warning: Here we re-use local variables z()_out and z()_wop |
|---|
| 1238 | ii=0 |
|---|
| 1239 | DO jk = 1, jpk |
|---|
| 1240 | DO jj = 1, jpj |
|---|
| 1241 | DO ji = 1, jpi |
|---|
| 1242 | zta_out (ji,jj,jk) = zta_out (ji,jj,jk) - zta_wop (ji,jj,jk) |
|---|
| 1243 | zta_wop (ji,jj,jk) = zta_out (ji,jj,jk) - ta_tl (ji,jj,jk) |
|---|
| 1244 | IF ( ta_tl(ji,jj,jk) .NE. 0.0_wp ) & |
|---|
| 1245 | & zerrta(ji,jj,jk) = zta_out(ji,jj,jk)/ta_tl(ji,jj,jk) |
|---|
| 1246 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
|---|
| 1247 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
|---|
| 1248 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
|---|
| 1249 | ii = ii+1 |
|---|
| 1250 | iiposta(ii) = ji |
|---|
| 1251 | ijposta(ii) = jj |
|---|
| 1252 | ikposta(ii) = jk |
|---|
| 1253 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
|---|
| 1254 | zscta (ii) = zta_wop(ji,jj,jk) |
|---|
| 1255 | zscerrta (ii) = ( zerrta(ji,jj,jk) - 1.0_wp ) / gamma |
|---|
| 1256 | ENDIF |
|---|
| 1257 | ENDIF |
|---|
| 1258 | END DO |
|---|
| 1259 | END DO |
|---|
| 1260 | END DO |
|---|
| 1261 | ii=0 |
|---|
| 1262 | DO jk = 1, jpk |
|---|
| 1263 | DO jj = 1, jpj |
|---|
| 1264 | DO ji = 1, jpi |
|---|
| 1265 | zsa_out (ji,jj,jk) = zsa_out (ji,jj,jk) - zsa_wop (ji,jj,jk) |
|---|
| 1266 | zsa_wop (ji,jj,jk) = zsa_out (ji,jj,jk) - sa_tl (ji,jj,jk) |
|---|
| 1267 | IF ( sa_tl(ji,jj,jk) .NE. 0.0_wp ) & |
|---|
| 1268 | & zerrsa(ji,jj,jk) = zsa_out(ji,jj,jk)/sa_tl(ji,jj,jk) |
|---|
| 1269 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
|---|
| 1270 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
|---|
| 1271 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
|---|
| 1272 | ii = ii+1 |
|---|
| 1273 | iipossa(ii) = ji |
|---|
| 1274 | ijpossa(ii) = jj |
|---|
| 1275 | ikpossa(ii) = jk |
|---|
| 1276 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
|---|
| 1277 | zscsa (ii) = zsa_wop(ji,jj,jk) |
|---|
| 1278 | zscerrsa (ii) = ( zerrsa(ji,jj,jk) - 1.0_wp ) / gamma |
|---|
| 1279 | ENDIF |
|---|
| 1280 | ENDIF |
|---|
| 1281 | END DO |
|---|
| 1282 | END DO |
|---|
| 1283 | END DO |
|---|
| 1284 | |
|---|
| 1285 | zsp1_Ta = DOT_PRODUCT( zta_out, zta_out ) |
|---|
| 1286 | zsp1_Sa = DOT_PRODUCT( zsa_out, zsa_out ) |
|---|
| 1287 | |
|---|
| 1288 | zsp1 = zsp1_Ta + zsp1_Sa |
|---|
| 1289 | |
|---|
| 1290 | zsp3_Ta = DOT_PRODUCT( zta_wop, zta_wop ) |
|---|
| 1291 | zsp3_Sa = DOT_PRODUCT( zsa_wop, zsa_wop ) |
|---|
| 1292 | |
|---|
| 1293 | zsp3 = zsp3_Ta + zsp3_Sa |
|---|
| 1294 | |
|---|
| 1295 | !-------------------------------------------------------------------- |
|---|
| 1296 | ! Print the linearization error En - norme 2 |
|---|
| 1297 | !-------------------------------------------------------------------- |
|---|
| 1298 | ! 14 char:'12345678901234' |
|---|
| 1299 | cl_name = 'traadv_tam:En ' |
|---|
| 1300 | zzsp = SQRT(zsp3) |
|---|
| 1301 | zzsp_Ta = SQRT(zsp3_Ta) |
|---|
| 1302 | zzsp_Sa = SQRT(zsp3_Sa) |
|---|
| 1303 | zgsp5 = zzsp |
|---|
| 1304 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 1305 | |
|---|
| 1306 | !-------------------------------------------------------------------- |
|---|
| 1307 | ! Compute TLM norm2 |
|---|
| 1308 | !-------------------------------------------------------------------- |
|---|
| 1309 | zzsp = SQRT(zsp2) |
|---|
| 1310 | zzsp_Ta = SQRT(zsp2_Ta) |
|---|
| 1311 | zzsp_Sa = SQRT(zsp2_Sa) |
|---|
| 1312 | zgsp4 = zzsp |
|---|
| 1313 | cl_name = 'traadv_tam:Ln2' |
|---|
| 1314 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 1315 | |
|---|
| 1316 | !-------------------------------------------------------------------- |
|---|
| 1317 | ! Print the linearization error Nn - norme 2 |
|---|
| 1318 | !-------------------------------------------------------------------- |
|---|
| 1319 | zzsp = sqrt(zsp1) |
|---|
| 1320 | zzsp_Ta = sqrt(zsp1_Ta) |
|---|
| 1321 | zzsp_Sa = sqrt(zsp1_Sa) |
|---|
| 1322 | |
|---|
| 1323 | cl_name = 'traadv:Mhdx-Mx' |
|---|
| 1324 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 1325 | |
|---|
| 1326 | zgsp3 = SQRT( zsp3/zsp2 ) |
|---|
| 1327 | zgsp7 = zgsp3/gamma |
|---|
| 1328 | zgsp1 = zzsp |
|---|
| 1329 | zgsp2 = zgsp1 / zgsp4 |
|---|
| 1330 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
|---|
| 1331 | |
|---|
| 1332 | FMT = "(A8,2X,I4.4,2X,E6.1,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13,2X,E20.13)" |
|---|
| 1333 | WRITE(numtan,FMT) 'tadvcen2', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
|---|
| 1334 | !-------------------------------------------------------------------- |
|---|
| 1335 | ! Unitary calculus |
|---|
| 1336 | !-------------------------------------------------------------------- |
|---|
| 1337 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
|---|
| 1338 | cl_name = 'tadvcen2' |
|---|
| 1339 | IF(lwp) THEN |
|---|
| 1340 | DO ii=1, 100, 1 |
|---|
| 1341 | IF ( zscta(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscta ', & |
|---|
| 1342 | & cur_loop, h_ratio, ii, iiposta(ii), ijposta(ii), zscta(ii) |
|---|
| 1343 | ENDDO |
|---|
| 1344 | DO ii=1, 100, 1 |
|---|
| 1345 | IF ( zscsa(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscsa ', & |
|---|
| 1346 | & cur_loop, h_ratio, ii, iipossa(ii), ijpossa(ii), zscsa(ii) |
|---|
| 1347 | ENDDO |
|---|
| 1348 | DO ii=1, 100, 1 |
|---|
| 1349 | IF ( zscerrta(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrta ', & |
|---|
| 1350 | & cur_loop, h_ratio, ii, iiposta(ii), ijposta(ii), zscerrta(ii) |
|---|
| 1351 | ENDDO |
|---|
| 1352 | DO ii=1, 100, 1 |
|---|
| 1353 | IF ( zscerrsa(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrsa ', & |
|---|
| 1354 | & cur_loop, h_ratio, ii, iipossa(ii), ijpossa(ii), zscerrsa(ii) |
|---|
| 1355 | ENDDO |
|---|
| 1356 | ! write separator |
|---|
| 1357 | WRITE(numtan_sc,"(A4)") '====' |
|---|
| 1358 | ENDIF |
|---|
| 1359 | |
|---|
| 1360 | ENDIF |
|---|
| 1361 | |
|---|
| 1362 | DEALLOCATE( & |
|---|
| 1363 | & zun_tlin, zvn_tlin, & |
|---|
| 1364 | & zwn_tlin, ztn_tlin, & |
|---|
| 1365 | & zsn_tlin, & |
|---|
| 1366 | & zta_tlin, zsa_tlin, & |
|---|
| 1367 | & zta_out, zsa_out, & |
|---|
| 1368 | & zta_wop, zsa_wop, & |
|---|
| 1369 | & z3r & |
|---|
| 1370 | & ) |
|---|
| 1371 | |
|---|
| 1372 | END SUBROUTINE tra_adv_cen2_tlm_tst |
|---|
| 1373 | #endif |
|---|
| 1374 | |
|---|
| 1375 | !!====================================================================== |
|---|
| 1376 | END MODULE traadv_cen2_tam |
|---|
